Gram is planning a party he for his younger sister he has 36 prizes and 24 Blynn's how many children can he have at the party's of each child gets an equal number of prizes and and an equal number of balloons​

Answers

Answer 1

Answer:

12 children

Step-by-step explanation:

you would just find the GCF (greatest common factor) of these 2 numbers, which is 12

so each child would get 3 prizes and 2 balloons


Related Questions

the order of matrix A + B is...

Answers

4 by 1

4 rows
1 column

Rows always come first, then columns

Answer:

[4, 1]

Step-by-step explanation:

Here we have four rows and one column, so the order of A + B is [4, 1].

what are the zeros of the function?
f(x)=x^2+7x-60

Answers

Answer:

(-12, 0) and (5, 0)

Step-by-step explanation:

f(x) = x² + 7x − 60

Here, a = 1, b = 7, c = -60.  Using the AC method, we need to find factors of a×c that add up to b.

12 × -5 = -60

12 + -5 = 7

The factors are 12 and -5.

f(x) = (x + 12) (x − 5)

The zeros are:

x + 12 = 0, x − 5 = 0

x = -12, x = 5

The zeros are (-12, 0) and (5, 0).

[tex]x^2+7x-60 =0\\x^2-5x+12x-60=0\\x(x-5)+12(x-5)=0\\(x+12)(x-5)=0\\x=-12 \vee x=5[/tex]

What is the difference between negative number and positive numbers in a number line?

Answers

Answer:

See below.

Step-by-step explanation:

You take the absolute value of the negative number  and add.

For example the difference between - 2 and + 3 is |-2|

= 3 + 2 = 5.

+4 and - 6: we have   4 + |-6| = 10.

Please hurry!!
What is the measure of angle BCD? 25 40 140 155

Answers

Answer:155

Step-by-step explanation:

The measure of angle BCD is 140°.

Quadrilaterals

Quadrilaterals are geometric figures with 4 sides and 4 angles. And, for these figures, the sum of interior angles is 360°. There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles.

Supplementary Angles

Supplementary angles are two angles whose sum is equal to 180°.

For solving this question, you should find the supplementary angle for A, B and D angles.

Angle A A+25=180

       A=180-25=155°

Angle B

       B+146=180

       B=180-146=34°

Angle D

       D+149=180

       B=180-149=31°

After that, find the angle C from a property of quadrilaterals - sum of interior angles is 360°. Thus,

                                        A+B+C+D=360

                                      155+34+C+31=360

                                       C=360-31-34-155

                                                  C=140°.

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what are measures of central tendency

Answers

Answer:

Is a Mean, Median and Mode

Is also a summary statistics that presents the center point or typical value off a dataset.

Answer is attached in the image provided.

Kevin operates a movie theater that sells about 800 tickets per day for $8 each. Kevin predicts that for each $0.50 increase in the ticket price, 40 fewer tickets will be sold. Let x represent the number of $0.50 price increases and f(x) represent the total earnings from ticket sales.

f(x)=-20x^2+80x+6400


Kevin wants to determine the best potential earnings from ticket sales each day.


Complete the following statement for this situation.


The function reveals that the (minimum or maximum) earnings from ticket sales will be (320,6400,6480 or 720$) after(6,8,4 or 2) $0.50 price increases.

Answers

Answer:

The function reveals that the maximum earning from ticket sales will be $6480 after 2 ($0.50) price increases

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = -20x² + 80x + 6400 represents the total

 earnings from ticket sales and x represents the number of $0.50

 price increases

∵ f(x) is a quadratic function

∵ The coefficient of x² is -20

∴ The function has a maximum value

- The vertex of the quadratic function f(x) = ax² + bx + c is (h , k),

 where h = -b/2a and k = f(h)

* Lets find the maximum point of f(x)

∵ a = -20 , b = 80

∵ h = -b/2a

∴ h = -(80)/2(-20) = -80/-40 = 2

∵ k = f(h) and h = 2

∴ f(2) = -20(2)² + 80 (2) + 6400

∴ f(2) = -80 + 160 + 6400

∴ f(2) = 6480

∴ k = 6480

* The function reveals that the maximum earning from ticket sales

  will be $6480 after 2 ($0.50) price increases

Answer:

maximum, 6480, two

What is the median of this set of data values? 13 ,14, 17,18, 21, 23, 26, 28

Answers

Answer:

20

Step-by-step explanation:

To find the median of this data first add the numbers together then decide by the amount of numbers. So for this problem add 13+14+17+18+21+23+26+28=160 then 160÷8=20

Answer: 19.5

Step-by-step explanation:

A p e x

if m<1=40 and m<2=80, what is m<3?

Answers

Answer:

60 degrees, 55 degrees, and 50 degrees respectively

Step-by-step explanation:

Equation: m<1+m<2+m<3=180

1. 40+80+x=180 Subtract 120(because 40+80=120)

  x=60

2. 50+75+x=180 subtract 125 (50+75=125)

    x=55

3. 50+80+x=180 subtract 130 (50+80=130)

   x=50

Answer:

50

Step-by-step explanation:

sorry if wrong pls mark brainliest

PLEASE HELP!!! I NEED HELP URGENTLY

Answers

Answer:

You would click (1,-5)

Step-by-step explanation:

The absolute minimum is the lowest point of the graph.

In all graphs, if it says minimum, it almost certainly means that lowest point, and if there are more than one, you would simply click on those.

It does not matter how many points there are, only that they are the lowest.

Therefore, it would be 1,-5.

Answer:

Step-by-step explanation:

If you accept that this is a function or even a relationship then and is connected then the minimum should be (1,-5).  

A sector has a radius of 15 centimeters and an angle of 48°. Find its arc length.

Answers

Answer:

4pi or 12.57 cm

Step-by-step explanation:

Step 1 : Write the formula of arc length

Arc length = x°/360° x Circumference

Circumference = 2pir

Arc length = x°/360° x 2pir

Step 2 : Substitute the given values in the formula

x = 48°

r = 15 cm

Arc length = 48°/360° x 2pi(15)

Arc length = 4pi or 12.57 cm

!!

11. Write 5 equivalent fractions for
• 6/7.​

Answers

[tex]\huge{\boxed{\frac{12}{14}}} \huge{\boxed{\frac{18}{21}}} \huge{\boxed{\frac{24}{28}}} \huge{\boxed{\frac{30}{35}}} \huge{\boxed{\frac{36}{42}}}[/tex]

One really simple way to find an equivalent fraction is just to multiply the numerator and denominator.

For example, for the first answer, [tex]\boxed{\frac{12}{14}}[/tex], I simply multiplied the numerator and denominator each by 2.  This gives you an equivalent fraction.

You can then continue with this process using numbers such as 3, 4, 5, and 6 as your multiplication factor.

Step-by-step explanation:

[tex]\dfrac{6}{7}=\dfrac{6\cdot2}{7\cdot2}=\dfrac{12}{14}\\\\\dfrac{6}{7}=\dfrac{6\cdot3}{7\cdot3}=\dfrac{18}{21}\\\\\dfrac{6}{7}=\dfrac{6\cdot4}{7\cdot4}=\dfrac{24}{28}\\\\\dfrac{6}{7}=\dfrac{6\cdot5}{7\cdot5}=\dfrac{30}{35}\\\\\dfrac{6}{7}=\dfrac{6\cdot6}{7\cdot6}=\dfrac{36}{42}\\\\\dfrac{6}{7}=\dfrac{6\cdot7}{7\cdot7}=\dfrac{42}{49}\\\vdots\\\dfrac{6}{7}=\dfrac{6\cdot10}{7\cdot10}=\dfrac{60}{70}\\\vdots\\\dfrac{6}{7}=\dfrac{6\cdot100}{7\cdots100}=\dfrac{600}{700}\\\vdots[/tex]

help asap

which of the following shows an element of the sample space for first rolling a number cube and then shooting a basketball? (X = make, O= miss)


A.) O, 2

B.) X, O

C.) 1, T

D.) 6, X

Answers

Answer:

option D

Step-by-step explanation:

As the sample space is for first rolling a number cube and then shooting a basketball, it should be a number n , and X/O

where n= 1,2,3,4,5,6

of the given options

A) 0,2 is incorrect as O of basketball is first and then there is 2

of cube

B) X,O is incorrect because both are from shooting basket ball

C)1,T is incorrect as T is not from the basketball.

only D is correct 6,X!

Option D.) 6, X correctly represents an element of the sample space for rolling a number cube followed by shooting a basketball, including an outcome of rolling a 6 and then making the shot

The question relates to an understanding of sample spaces in probability. The sample space is a set of all possible outcomes of a probability experiment. In this case, the experiment consists of two independent actions: rolling a number cube (commonly a six-sided die) and shooting a basketball with two possible outcomes (making a shot 'X' or missing 'O').

A correct element of the sample space would include one outcome from rolling the die (1 through 6) and one outcome from shooting the basketball (X or O). For example, rolling a 1 on the die and making the basketball shot (X) would be represented as (1, X). Therefore, the correct answer to the question is option D.) 6, X, which shows an outcome of rolling a 6 on the die followed by making the basketball shot

will mark brainlist ​

Answers

The answer is 4.4102. We know the length of one side is 2.4 and the length of the other side is half of 7.4. If we use Pythagorean’s theorem to find the hypotenuse we get (7.4/2)^2 + 2.4^2 = X^2. By solving for x we get x= root( (7.4/2)^2 + 2.4^2). So x is approximately 4.41.

Use the buttons below to build an equation with words and symbols.

Answers

Answer:

1. Length when found = length at birth + (age when found × growth each year); 2. 6.3 yr

Step-by-step explanation:

1. The word equation

Length when found = length at birth + (age when found × growth each year)

2. The calculations

                            5 m = 2.6 m + (age when found × 0.38 m/yr)  

Do the multiplication first (PEMDAS)

                            5 m = 2.6 m + 0.38 × age when found m/yr

Subtract 2.6 m from each side of the equation

                           2.4 m = 0.38 × age when found m/yr

Divide each side by 0.38 m/yr

                           6.3 yr = age when found

The killer whale is 6.3 yr old.

108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books,
(ii) the number of such books that have a mass
of 20 kg.

Answers

Answer:

The mass of 150 books = 41.7kg

The number of books that have mass 20kg = 72 books

Step-by-step explanation:

(I) Number of identical books = 108

Mass of  books = 30 kg

Mass of 150 books = ?

Let the mass of 150 books = x kg

To find the mass of 150 books we will use ratio and proportion:

108 books: 30kg = 150 books: x kg

You can also write it like this because ratio can be written in division:

108/30 = 150/x

By cross multiplication:

108x = 150*30

108 x= 4500

Divide both sides by 108

108 x/108 = 4500/108

x= 41.7

Thus the mass of 150 books = 41.7kg

( ii ) The number of books that have a mass of 20 kg = ?

Let assume that the number of books of mass 20 kg = y books

We will again use ratio and proportion method.

108 books: 30kg = y: 20kg

We can write it as:

108/30 = y/20

By cross multiplication:

108 *20 = 30y

2160= 30y

Divide both the terms by 30

2160/30 = 30y/30

72 = y

Therefore the number of books that have mass 20kg = 72 books ....

I need help with this right away

Answers

Answer:

14

Step-by-step explanation:

8 + 3e

Let e =2

8 + 3(2)

8 + 6

14

I Need Help Plz I Need The Answer!!

Answers

Answer:

I believe it would be C I don't have much experience with these problems but I'm good at them for what I did

Answer:

ASA Postulate.

Step-by-step explanation:

Two angles and  a corresponding side make the triangles congruent.

Find the domain of each function using interval notation. (Please help I have an exam tomorrow and I’m really stuck)

Answers

Answer:

For number 9)

Interval notation [tex](-\infty,3][/tex]

For number 10)

Interval notation: [tex](-\infty,\frac{-1}{2}) \cup (\frac{-1}{2},\infty)[/tex].

Step-by-step explanation:

On square roots you have to make sure the inside is positive or zero.

So the domain of the first one will come from solving

[tex]6-2x \ge 0[/tex]

Subtract 6 on both sides:

[tex]-2x \ge -6[/tex]

Divide both sides by -2 (flip inequality when divide both sides by negative):

[tex]x \le 3[/tex]

The domain is less than or equal to 3.

Interval notation [tex](-\infty,3][/tex]

On fractions you have to watch out for dividing by 0.

The domain is all real numbers except when 4x+2=0.

4x+2=0

Subtract 2 on both sides:

4x=-2

Divide both sides by 4:

x=-2/4

Reduce:

x=-1/2

The domain is all real numbers except when x=-1/2

Interval notation: [tex](-\infty,\frac{-1}{2}) \cup (\frac{-1}{2},\infty)[/tex].

Answer:

9. [tex] (-\infty, 3] [/tex]

15. [tex] (-\infty, -\dfrac{1}{2}) \cup (-\dfrac{1}{2}, \infty) [/tex]

Step-by-step explanation:

9.

The function has a square root. Since you cannot take the square root of a negative number, the expression in the root must be non-negative.

[tex] 6 - 2x \ge 0 [/tex]

[tex] -2x \ge -6 [/tex]

[tex] x \le 3 [/tex]

[tex] (-\infty, 3] [/tex]

15.

There is a denominator int he function. The denominator cannot equal zero. Set the denominator equal to zero to find out the value that must be excluded from x.

[tex] 4x + 2 = 0 [/tex]

[tex] 4x = -2 [/tex]

[tex] x = -\dfrac{1}{2} [/tex]

[tex] (-\infty, -\dfrac{1}{2}) \cup (-\dfrac{1}{2}, \infty) [/tex]

PLEASE HURRY NEED TO TURN IN BY 8 PM SUPER EASY WILL GIVE BRAINLEIST
A friend rewrote the expression 5(x + 2) as 5x + 2. Write a few sentences to your friend explaining the error. Then, rewrite the expression 5(x + 2) correctly.

Answers

Answer:

answer: 5x + 10

Step-by-step explanation:

The distributive property (of which this is an example) demands that the 5 must multiply the x (which was done correctly) to give 5x

But the problem becomes undone when you forget about the 2. You must multiply the 2 by 5 as well to give 10.

The plus sign cannot be destroyed. The terms are not alike. So the answer is 5x + 10

To convert 5.25 minutes to seconds, you would use the ratio =
seconds, you would use the ratio 1 second
60 minutes
A. True
B. False

Answers

The correct option is b). The statement is False, it incorrectly describes the method for converting minutes to seconds.

To convert minutes to seconds, you multiply by 60 because there are 60 seconds in one minute.

So, to convert 5.25 minutes to seconds:

[tex]\[ 5.25 \text{ minutes} \times 60 \text{ seconds/minute} = 315 \text{ seconds} \][/tex]

Therefore, 5.25 minutes is equal to 315 seconds.

Regarding your original question about the statement:

To convert 5.25 minutes to seconds, you would use the ratio  [tex]\( \frac{1 \text{ second}}{60 \text{ minutes}} \).[/tex]

This statement suggests using a ratio, which is not correct for converting minutes to seconds. Instead, you should use multiplication by 60 seconds per minute.

Which are the possible side lengths of a triangle?
3 cm, 5 cm, 9 cm
4 cm, 8 cm, 10 cm
6 cm, 9 cm, 17 cm
8 cm, 10 cm, 18 cm

Answers

the possible side lengths of a triangle are 6cm , 9cm, 17cm

The only option that is a triangle from the given options is; 4cm, 8cm, 10 cm

How to identify a triangle?

A triangle is a plane shape with three sides which could all be equal or have 2 equal or have no equal sides.

Now, we know a triangle to be one if the sum of two smallest sides is greater than the longest side.

Thus, only option B can B a triangle because the sum of 4cm and 8cm is 12 cm which is greater than 10 cm.

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What is the end behavior of the graph of the polynomial function y = 10x9 – 4x?

Answers

Final answer:

The end behavior of the function y = 10x9 – 4x is such that as x approaches infinity, y approaches infinity, and as x approaches negative infinity, y approaches negative infinity. This is because the degree of the polynomial is odd and the leading coefficient is positive.

Explanation:

The end behavior of a polynomial function describes what happens to the function values (y-values) as x approaches infinity and negative infinity. In your function, y = 10x9 – 4x, the highest power of x is 9, and it's coefficient is positive.

According to the rules of end behavior, if the degree (highest power) of the polynomial is odd, and the leading coefficient (the number in front of the highest power) is positive, as x approaches positive infinity, y also approaches positive infinity, and as x approaches negative infinity, y approaches negative infinity.

In simpler terms, this means that the graph of your function starts in the third quadrant (bottom-left) and ends in the first quadrant (top-right). Hence, the end behavior of this function can be described as: as x approaches infinity, y approaches infinity; and as x approaches negative infinity, y approaches negative infinity.

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Answer: C

Step-by-step explanation: the answer is C on edge :)

What is the y-value of the solution to the system of equations?
3x + 5y = 1
7x + 4y = -13
لن ير

ا n​

Answers

Answer:

{x = -3 , y=2  (Isolved for both variables be elimination)

Step-by-step explanation:

Solve the following system:

{3 x + 5 y = 1 | (equation 1)

7 x + 4 y = -13 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 4 y = -13 | (equation 1)

3 x + 5 y = 1 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{7 x + 4 y = -13 | (equation 1)

0 x+(23 y)/7 = 46/7 | (equation 2)

Multiply equation 2 by 7/23:

{7 x + 4 y = -13 | (equation 1)

0 x+y = 2 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{7 x+0 y = -21 | (equation 1)

0 x+y = 2 | (equation 2)

Divide equation 1 by 7:

{x+0 y = -3 | (equation 1)

0 x+y = 2 | (equation 2)

Collect results:

Answer:  {x = -3 , y=2

Answer:

y = 2

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}3x+5y=1&\text{multiply both sides by 7}\\7x+4y=-13&\text{multiply both sides by (-3)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}21x+35y=7\\-21x-12y=39\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad23y=46\qquad\text{divide both sides by 23}\\.\qquad\qquad y=2[/tex]

If you want to solve it to the end, put the value of y in the first equation and solve it for x.

3x + 5(2) = 1

3x + 10 = 1         subtract 10 from both sides

3x = -9           divide both sides by 3

x = -3

Organizing a data set allows you to do each of the following except:
A. see important values in the data set
B. take up less space than when the data set is not organized
C. more easily see the maximum and minimum values in the data set
D. see if any data values are much larger or much smaller than other data values

Answers

Answer:

B. take up less space than when the data set is not organized

Step-by-step explanation:

Well, in this question, you can analyze one answer after the other.

In A see important values in the data set, this makes sense when determining mode and median of a data set.Median is the center value in a data set, while mode is the repeated value in the set.When data set is arranged from smallest to the largest, the median and mode can be seen clearly.These can be the important values in the data set

In C. More easily see the maximum and minimum values in the data set, is possible especially when data is arranged in an increasing order.The smallest value will start, where as the largest value will be at the end.This applies to D too.

However in B, it will depend with the manner you would like to analyze the data.For example organizing data using tables will make your data easy to understand and present your analysis.Another person will group the data in intervals to identify the frequency of in data set.So, you see, its not about space taken by data but how you would like to present your data when analyzing it.

Hope this helps.

what is 10 divied by 7/8​

Answers

Answer:

11.43

Step-by-step explanation:

10 divided by 7/8

Set the expression:

(10/(7/8))

To solve, flip the denominator fraction, and make the division into multiplication:

((10 x 8)/7)

Multiply across, then divide:

(80)/7

Divide:

80/7 = 11.43 (rounded)

11.43 is your answer.

~

11.43
That’s the answer

An angle measures 3pi/4 radians.
What is this angle's measure, in degrees?

Answers

Answer:

135°

Step-by-step explanation:

To convert from radian measure to degree measure

degree measure = radian measure × [tex]\frac{180}{\pi }[/tex], so

degree = [tex]\frac{3\pi }{4}[/tex] × [tex]\frac{180}{\pi }[/tex]

Cancel π on numerator/denominator and 4, 180 by 4, leaving

degree = 3 × 45 = 135°

Answer:

1 radian = 180 / PI degrees

3 PI / 4 radians * 180 / PI the "PI's" cancel and we get

3 / 4 * 180 = 135 degrees

Step-by-step explanation:

f(x)=25x^2-10x+1

what is the value of the discriminant of f?

how many x-intercepts does the graph of f have?​

Answers

Final answer:

The discriminant of the quadratic function f(x) = 25x² - 10x + 1 is equal to zero. Hence, the graph of this function has only one x-intercept.

Explanation:

The student is asking for the value of the discriminant of the quadratic function f(x) = 25x² - 10x + 1 and the number of x-intercepts the function has. In a quadratic function ax²+bx+c, the value of the discriminant, denoted as D, is calculated using the formula D = b² - 4ac. In this case, a = 25, b = -10, and c = 1.

Therefore, the discriminant D = (-10)² - 4(.25)(1) = 100 - 100 = 0. The quadratic equation will have exactly one root if the discriminant is zero.

Thus, "the graph of the function f(x) = 25x² - 10x + 1 has one x-intercept".

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The value of the discriminant is 0, and the graph of \(f\) has one repeated x-intercept.

1. The value of the discriminant [tex](\(\Delta\))[/tex] of the quadratic function [tex]\(f(x) = 25x^2 - 10x + 1\)[/tex] is [tex]\(b^2 - 4ac\),[/tex] where a, b and c are coefficients in the quadratic equation [tex]\(ax^2 + bx + c = 0\)[/tex].

2. The number of x-intercepts the graph of \(f\) has is determined by the discriminant:

  - If [tex]\(\Delta > 0\)[/tex], there are two distinct x-intercepts.

  - If [tex]\(\Delta = 0\)[/tex], there is one repeated x-intercept (the graph touches the x-axis but does not cross it).

  - If [tex]\(\Delta < 0\)[/tex], there are no x-intercepts (the graph does not intersect the x-axis).

1. Calculate [tex]\(\Delta\)[/tex]: In the given function [tex]\(f(x) = 25x^2 - 10x + 1\)[/tex], [tex]\(a = 25\),[/tex] [tex]\(b = -10\),[/tex]and [tex]\(c = 1\)[/tex]. Plug these values into the discriminant formula: [tex]\(\Delta = b^2 - 4ac\).[/tex]

[tex]\[\Delta = (-10)^2 - 4(25)(1) = 100 - 100 = 0\][/tex]

2. Analyze the number of x-intercepts based on \(\Delta\):

  - Since [tex]\(\Delta = 0\)[/tex], there is one repeated x-intercept.

Therefore, the value of the discriminant is 0, and the graph of \(f\) has one repeated x-intercept.

Which of the following represents a function?

Answers

Answer:

Option D. is the answer.

Step-by-step explanation:

Option A.

From the table we can see that for the value of x = 3, there are two values of y (14 and 19).

Which is not possible for a function. It should be one to one.

So option A is not a function.

Option B.

In this option again we have two values of y = 0, -5 for the value of x = 3.

For a function values of x and y should be one to one.

Therefore, it's not a function.

Option C.

Here for x = -1, there are two values of y (y = -11 and 5).

Therefore, it's not a function.

Option D.

In the given graph we find that there are different values of y for every value of x.

Therefore, Option D is the answer.

Find the surface area of a ping pong ball if the diameter of a ping pong ball is 1.4882 inches round your answer to the nearest hundredth

Answers

Answer:

6.96 in².

Step-by-step explanation:

The formula for the surface area of a sphere is

A= 4πr²

Data:

d = 1.4882 in

Calculations:

r = d/2 = 1.4882/2 = 0.7441 in

V = 4 × π × 0.7441² = 6.96 in²

The surface area of the ping pong ball is 6.96 in².

ASAP!! What is the parabola’s line of symmetry?
y-axis
x-axis
x = p
x = -p

Answers

Answer:

y-axis

Step-by-step explanation:

..................

Answer:

A) y-axis.

Explanation:

Other Questions
In North America, what is the largest biome present?A. TundraB. Savanna C. SteppeD. Taiga Construct a pair of conversion factors that relate moles of S to moles of Al2 (SO4)3. why is a combination of exercises and good eating the best way in which to lose body fat Jorie leaves work 30 minutes late. She decides to make up time by taking the toll road instead of side streets. She can travel four times faster by taking the toll road. Create an equation to represent her total travel time, including wait time, where x is the number of minutes the drive was expected to take. A. y = \frac{1}{4}x -30 B. y = 4x - 30C. y = \frac{1}{4}x + 30D. y = 4x + 30 Parlands alligator population has been declining in recent years, primarily because of hunting. Alligators prey heavily on a species of freshwater fish that is highly valued as food by Parlanders, who had hoped that the decline in the alligator population would lead to an increase in the numbers of these fish available for human consumption. Yet the population of this fish species has also declined, even though the annual number caught for human consumption has not increased.Which of the following, if true, most helps to explain the decline in the population of the fish species?(A) The decline in the alligator population has meant that fishers can work in some parts of lakes and rivers that were formerly too dangerous.(B) Over the last few years, Parlands commercial fishing enterprises have increased the number of fishing boats they use.(C) The main predator of these fish is another species of fish on which alligators also prey.(D) Many Parlanders who hunt alligators do so because of the high market price of alligator skins, not because of the threat alligators pose to the fish population.(E) In several neighboring countries through which Parlands rivers also flow, alligators are at risk of extinction as a result of extensive hunting. Olga just read a story about a man named Donald who is very confident and independent. Tiffany just read a story about a man named Donald who is irresponsible and stubborn. Both learn that Donald has taken up skydiving. What are their impressions of Donald likely to be? Tobacco smoke contains more than 100 carcinogens and mutagens, many of which are classified as carcinogens based upon human and animal studies (IARC, 1986), the latter include lung tumors in the same organs as cancers occur in humans (True/False) Which of the following tools would be used on a large concrete slab to bring cement and sand to the surface and to push stones lower?A. Screed rail B. Steel trowel C. Power trowel D. Bull float a problem exists when the current condition differs from a desired condition. This idea defines which step in problem-solving? The electronegativity of nonmetals is relatively __________ as compared to the electronegativity of metals. Which Native American groups attempted to resist the Indian Removal Act? (Select all that apply.Seminole CherokeeCreek Sauk which one of the following is not a step in the inquiry processA. InvestigateB. ClassifyC. SummarizeD. Observe Soon after death, the body is washed and dressed and put in a casket. A sandalwood garland is placed on the body flowers are not used, because they may carry small insects. A swastika is placed near the deceased. When the family arrives and it is time for the service, songs and scriptures are recited for an hour. Eulogies are offered by family and friends. Family members then gather by the casket and apply various items to the body: a little water and rice three times then sandalwood powder. Then they chant the Namokar Mantra and put more sandalwood powder on the body, a gold coin in the mouth, and a pearl under the lid of the right eye. The casket is then closed and taken to the place of cremation. This is the traditional funeral ritual of which religion? The table needs to be cleaned.A. Te toca limpiar la mesa.B. Tengo que limpiar la mesa.C. Necesito limpiar las mesa.D. Hay que limpiar la mesa.E. Me toca limpiar la mesa.F. Debo limpiar la mesa. On a quiz worth 5 points, eight students earned a 5, two students earned a 4, five students earned a 3, six students earned a 2, five students earned a 1, and zero students earned a zero. Find the class average on this quiz. Express your answer rounded to the tenths place. Which of these definitions best describes mood in poetry?the emotional quality of a literary workthe message about life the poet wishes to conveypfirethe attitude with which the poet writes about a topication 1the reason or cause for a character's actions Which of these describes a situation in which people have to make a co-pay? A. When they visit a doctor B. When they get their car repaired after an accident C. When their possessions are stolen D. When their house burns down2b2t A car of mass m accelerates from speed v_1 to speed v_2 while going up a slope that makes an angle theta with the horizontal. The coefficient of static friction is mu_s, and the acceleration due to gravity is g. Find the total work W done on the car by the external forces. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 107107 pounds and a standard deviation of 39.339.3 pounds. Random samples of size 1818 are drawn from this population and the mean of each sample is determined. What condition leads to the production of ketone bodies from acetyl CoA? a. low blood pH b. low supply of oxaloacetate in the citric acid cycle c. high levels of ATP d. high blood pH e. low supply of carnitine in -oxidation