One Morning in Atlanta, Tina observed that the temperature was 72 degrees. Later the temperature rose 21 degrees and then dropped 11 degrees. She then flew to New York where the temperature was 67 degrees. What was the change in temperature from when Tina left Atlanta and arrived in New York

Price of one ream of paper is $6.5

Step-by-step explanation:

Let,

x be the total cost.

Cost of one ream of paper = y

Cost of binder = $4.50

Cost of ink cartridge = $17.50

According to given statement;

x = 4.50 + 6y    Eqn 1

x = 17.50 + 4y   Eqn 2

As both spent the same amount, therefore,

Eqn 1 = Eqn 2

[tex]4.50+6y=17.50+4y\\6y-4y=17.50-4.50\\2y=13\\[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{13}{2}\\y=6.5[/tex]

Price of one ream of paper is $6.5

Keywords: linear equation, division

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Answer:

Here we do not have the image, but i will try to give a explanation about this type of problem.

When we have the function f(x), the graph of the function h(x) = f(x - x0) means that the graph is displaced by x0 units to the right.

This is because the value of f(x = 0) is equivalent to h( x = x0), but the first one corresponds to the pair (0, f(0)) and the other corresponds to (x0, f(0))

This means that:

g(x) = 3√(x - 4) is displaced 4 units to the right.

g(x) = 3√(x + 4) = g(x) = 3√(x - (-4)) is diplaced 4 units to the left.

g(x) = 3√(x - 1.5) is displaced 1.5 units to the right.

g(x) = 3√(x + 1.5) is displaced 1.5 units to the left.

Answer:

Slope: 2y- int: −6

Explanation:

We can easily find the slope and

y -intercept of this line by converting it to slope intercept form

y=mx + b, with slope m and a

y- intercept of b.

Let's subtract

8x

from both sides to get

−4y=−8x+24

Next, we divide all terms by

−4 to get y=2x−6

Now that our equation is in this form, we see that our slope is

2, and our y -intercept is −6.

-Hope this helps you

The class average on test 2 is 76 points

Given that, the class average on test 1 was 84.  

And the class average on test 2 was 8 points lower.  

We have to find what was the class average on test 2?  

Now, according to the given information.

Class average on test 2 is 8 points lower than class average on test 1.

So, class average on test 2 = class average on test 1 – 8 points

Class average = 84 – 8  

Class average = 76 points.

Hence, the class average on test 2 is 76 points

Answer:

3.09

Step-by-step explanation:

Answer:

3.09

The drawing will help

Answer:

b. [tex]\frac{(10+x)}{(y-3)}[/tex]

Step-by-step explanation:

Question:

Look at each expression. Is it equivalent to "the quotient of 10 plus x and y minus 3"?

a. (10+x)/(y)

b. (10+x)/(y-3)

c. 10+(x)/(y)-3

d. (10+x-3)/(y)

Solution:

Given statement:

The quotient of 10 plus [tex]x[/tex] and [tex]y[/tex] minus 3

From the statement we can have the following:

Dividend =[tex]10+x[/tex]

Divisor [tex]=y-3[/tex]

The quotient is given by dividend divided by divisor.

The quotient thus can be expressed as:

[tex]\frac{(10+x)}{(y-3)}[/tex]

Answer:

[tex]a_{n} = a_{1} + (n-1)[/tex]this is the required representation for showing the position of a term in the sequence.

Step-by-step explanation:

Given:

The sequence is as follow:

0, 1, 2, 3, .......

To Find:

The expression while using 'n' to represent the position of a term in the sequence where n = 1 for the first term 0, 1, 2, 3, ....

Solution:

n = to represent the position of the term in the sequence.

[tex]a_{1} = \textrm{represent the first term in the sequence.} = 0[/tex]

d = Common difference.,i.e difference between the consecutive term.

d = second term - first term.

or

d = third term - second term.

Here we have d = 1 - 0 = 1

or                     d = 2 - 1 = 1

So, the required expression is

[tex]a_{n} = a_{1} + (n-1)\times d[/tex]

[tex]a_{n} = a_{1} + (n-1)[/tex]

If we require first term put n = 1

[tex]a_{1} = a_{1} + (1-1)[/tex]

[tex]a_{1} = 0[/tex]

If we require second term put n = 2

[tex]a_{2} = a_{1} + (2-1)[/tex]

[tex]a_{2} = 0 + 1[/tex]

[tex]a_{2} = 1[/tex]

If we require third term put n = 3

[tex]a_{3} = a_{1} + (3-1)[/tex]

[tex]a_{3} = 0 + 2[/tex]

[tex]a_{3} = 2[/tex]

and so on.......

Answer:

He has won 28 games.

Step-by-step explanation:

Since he wins 80% of the games he pitched, we need to find 80% of 35.

80% as a decimal is 0.8.

[tex]0.8 * 35 = 2.8[/tex]

Now we need to convert the product to a whole number.

[tex]2.8 * 10= 28[/tex]

80% of 35 is 28.

The baseball player won 28 games he pitched in.

The baseball pitcher won 28 games out of the 35 games he pitched by calculating 80% of the total games pitched.

To calculate how many games a baseball pitcher won after knowing he won 80% of the 35 games he pitched, you can use a simple percentage calculation. First, convert 80% to a decimal by dividing 80 by 100, which equals 0.80. Then, multiply the total number of games (35) by 0.80 to find out the number of games won:

Number of games won = Total games pitched imes Win percentage

Number of games won = 35 imes 0.80 = 28

So, the pitcher won 28 games out of the 35 games he pitched.

They next ring together will be at 6:50 a.m.

Step-by-step explanation:

The given is:

We need to know at what time will they next ring together

To solve the problem lets find the lowest common multiple of 10 and 25

∵ The multiples of 10 are 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , 90 , 100 , .....

∵ The multiples of 25 are 25 , 50 , 75 , 100 , ........

∵ The common multiples of 10 and 25 are 50 , 100 , ......

∴ The lowest common multiple of 10 and 25 is 50

∵ The two bells start ringing together at 6 a.m.

∵ The first bell rings every 10 minutes

∴ The first bell rings at 6:10 a.m. , 6:20 a.m. , 6:30 a.m. , 6:40 a.m. ,

   6:50 a.m. , .........

∵ The second bell rings every 25 minutes

∴ The second bell rings at 6:25 a.m. , 6:50 a.m. , ........

∴ They start ringing together at 6:50 a.m.

They next ring together will be at 6:50 a.m.

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Final answer:

To determine when two bells will next ring together, find the Least Common Multiple (LCM) of their ringing intervals. The LCM of 10 and 25 is 50, therefore the bells will next ring together at 6:50 a.m.

Explanation:

The question is about finding the next time two bells, ringing at different intervals, will ring together. To solve this, we need to find the Least Common Multiple (LCM) of the two bell ringing intervals: 10 minutes and 25 minutes. The LCM of 10 and 25 is 50 since 10 × 5 = 50 and 25 × 2 = 50. Since the bells start ringing together at 6 a.m., they will next ring together 50 minutes later.

Adding 50 minutes to 6 a.m., we get 6:50 a.m. Therefore, the two bells will next ring together at 6:50 a.m.

Answer:

one avocado cost 2 dollars

Step-by-step explanation:

16 divided by 8 is 2 so therefor one cost $2

Divide 16 by 8.

16 ÷ 8 = 2.

So, one avocado costs $2.

Answer:

10

Step-by-step explanation:

3 + 7 = 10

Answer:

x=5

Step-by-step explanation:

Since a Trapizode has 360 Degrees total and since the sides are equal we can say that

180=110+17x-15

70=17x-15

85=17x

x=5

The value of x in the trapezoid is 5

The sum of the sides on a trapezium is 180 ;

Using the expression :

17x + 95 = 180

17x = 180 - 95

17x = 85

x = 85/17

x = 5

Therefore, the value of x is 5.

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Answer:

Its B

Step-by-step explanation:

Try and read throught it slowly and everytime you hit a variable go down the the answer and find where it is. That helped me a lot

Answer:

b

Step-by-step explanation:

the french bread is f. the whole grain is double the price of f so it would be f(2) OR 2f. the cinnamon rasin is f + 2.50.

Answer:

3x^2 + 12x + 4y^2 - 8y = 32

Step-by-step explanation:

3(x^2+4x)+4(y^2-2y)=32

At first we have to break the parenthesis to get the variables in normal position. To break those, we have to multiply each with the help of algebraic expression:

or, (3*x^2) + (3 × 4x) + (4 × y^2) - (4 × 2y) = 32

or, 3x^2 + 12x + 4y^2 - 8y = 32

Since the equation does not have anything to add or deduct, therefore, it is the answer.

Answer:

e. It will take 11 seconds to reach the maximum height of 1,936 feet.

f. It will take 22 seconds to return to the earth.

Step-by-step explanation:

Given:

Initial velocity [tex]v_0[/tex] = 352 ft/sec

Solving for question e.

To find the time required to reach the maximum height we will use the formula,

[tex]h(t) = -16t^2+v_0t+h_0[/tex],

where [tex]v_0[/tex] is the starting velocity

[tex]h_0[/tex] is the initial height.

Using the velocity and starting height from our problem we have,

[tex]h(t) = -16t^2+352t+0[/tex],

The path of this rocket will be a downward facing parabola, so there will be a maximum.

This maximum will be at the vertex of the graph.

To find the vertex we start out with [tex]x= \frac{-b}{2a}[/tex] which in our case is,

[tex]x=\frac{-352}{2(-16)}=\frac{-352}{-32}= 11[/tex]

So, It will take 11 seconds for the rocket to reach its maximum height.

We will find maximum height using the formula by substituting value of t we get,

[tex]h(11)=-16(11^2)+352(11)+0\\h(11) = -16 \times121+ 352 \times 11 = -1936+3872= 1936 \ ft[/tex]

Hence the maximum height will be [tex] 1936 \ ft[/tex]

Now Solving for question f.

To find the time required for rocket to reach earth.

We will set our formula to 0 to find the time.

[tex]0= -16t^2+352t+0\\-16t(t-22)=0[/tex]

Using the zero product property, we know that either -16t = 0 or t - 22 = 0.  When -16t = 0 is at t = 0, when the rocket is launched. t - 22 = 0 gives us an answer of t = 22.

So the rocket reaches the Earth again at 22 seconds.

First add the two fractions inside parenthesis:

5/7 - 6/14

Rewrite 5/7 to have a common denominator:

5/7 = 10/14

Now you have 10/14 - 6/14

10-6 = 4

The answer is 4/14, which can be reduced to 2/7

Answer:

(a)

Step-by-step explanation:

2/7 hope it helps

Answer:

Neither

Step-by-step explanation:

Parallel lines have equal slopes.

Clearly the lines are not parallel.

The product of the slopes of perpendicular lines equals - 1

2 × [tex]\frac{1}{2}[/tex] = 1 ≠ - 1

Thus the lines are not perpendicular.

Lines with Slope 1 = 2 and Slope 2 = 1/2 are neither parallel nor perpendicular.

To determine whether the two lines represented by Slope 1 = 2 and Slope 2 = 1/2 are parallel, perpendicular, or neither, we must consider the relationship between their slopes. Two lines are parallel if they have the same slope. In contrast, two lines are perpendicular if their slopes are negative reciprocals of each other (the product of their slopes is -1). In this case, since the slopes are different and their product (2 * 1/2) equals 1, not -1, the lines are neither parallel nor perpendicular.

Answer: 371697

Step-by-step explanation:

For continuously compounded values, we use the formula Pe^rt, or Pert. P is our principal/initial value, 230000. e is the constant e, r is our rate, 4% or .04, t is our time, 12. So, 230000*e^(.04*12)=371697.112504, rounding down, 371697.

Answer:

-x^2+12x-30

Step-by-step explanation:

(9 + 2i)(9 − 2i)=85

The square of an imaginary number i is always -1. i.e. i²=-1

So according to asked question,

(9+2i)(9-2i)

using the algebric identity (a+b)(a-b)=a²-b²

where a=9 , b=2i

=(9)²-(2i)²

=9²-(4*i²)    

=81-4i²

if we want to simplify the following expression    

=81-(4(-1))                  where i²=-1

=81+4

=85

Therefore (9 + 2i)(9 − 2i)=85

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For 4 copies, the total cost for preparing and printing will be the same.

Step-by-step explanation:

Let,

p be the number of pages

Company A;

Charges of preparing = $6

Charges of per page print = $2.50

A(p)= 2.50p + 6   Eqn 1

Company B;

Charges of preparing = $4

Charges of per page print = $3

B(p)= 3p + 4    Eqn 2

For equaling the cost;

A(p) = B(p)

[tex]2.50p+6=3p+4\\2.50p-3p=4-6\\-0.50p=-2[/tex]

Dividing both sides by -0.50

[tex]\frac{-0.50p}{-0.50}=\frac{-2}{-0.50}\\p=4[/tex]

For 4 copies, the total cost for preparing and printing will be the same.

Keywords: Addition, division

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Answer:

798

Step-by-step explanation:

hsushshxhuxvshsjsvs

The area of a rectangle is given as:

Area = Length x width

Length = 38

Width = 21

The value of 38 x 21 as an area model is 798.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

38 x 21 as an area model.

This can be considered as,

Length = 38

Width = 21

Now,

The area of a rectangle.

= 38 x 21

= 798

Thus,

The value of 38 x 21 as an area model is 798.

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Answer:

the line should have an open circle on 75.7 and point to the right

Answer:

x = ± 12

Step-by-step explanation:

Given

f(x) = x² - 144

To find the roots set f(x) = 0, that is

x² - 144 = 0 ( add 144 to both sides )

x² = 144 ( take the square root of both sides )

x = ± [tex]\sqrt{144}[/tex] = ± 12

Final answer:

The roots of the given quadratic function f(x) = x² - 144 are x = 12 and x = -12.

Explanation:

The roots of a quadratic function can be found by setting the function equal to zero and solving for x. In the case of f(x) = x² - 144, this is equivalent to solving the equation x² - 144 = 0. This equation is a difference of squares and can be factored as (x - 12)(x + 12) = 0. The roots of the equation are the values of x that make the equation true, which in this case are x = 12 and x = -12.

Answer:

The circumference of the circle is 6 cm (approximately).

Step-by-step explanation:

Given:

Area of the circle = 1/4π²

Now, to get the circumference of the circle we need the radius.

So, finding the radius by putting the formula of area:

Area = [tex] \pi r^{2}[/tex]

[tex]\frac{1}{4} \pi ^{2}[/tex] = [tex] \pi r^{2}[/tex]

dividing π by both sides:

[tex]\frac{1}{4}\pi[/tex][tex]=r^{2}[/tex]

using square root on both the sides:

[tex]\frac{1}{2}\sqrt{\pi } = r[/tex]

So, the radius is [tex]\frac{1}{2}\sqrt{\pi } [/tex]

Now, putting the formula of circumference:

[tex]circumference=2\pi r[/tex]

                              =[tex]2\pi\frac{1}{2} \sqrt{\pi}[/tex]

                              =[tex]\pi \sqrt{\pi}[/tex]

putting the value of π =3.14

                              =[tex]3.14\times\sqrt{3.14}[/tex]

                              =[tex]3.14\times1.77[/tex]

                              =[tex]5.56[/tex]

Circumference = 5.56 cm

Therefore, the circumference of the circle is 6 cm (approximately).

Answer:

m=-48.6

Step-by-step explanation:

-27.5-m=21.1

m=-27.5-21.1

m=-48.6

Answer:

48.6 Is your correct answer :)

Step-by-step explanation:Please mark brainlies :)

Answer:

  7n +5

Step-by-step explanation:

For each person, the bread required is ...

  1 club + 2 regular sandwiches = 1(3 slices) + 2(2 slices) = 7 slices

Then for n people, 7n slices of bread are required.

In addition, there is one Dagwood sandwich requiring 5 slices of bread. The total is then ...

  7n +5 . . . . slices of bread required to fill the order.

Answer:

15n+5

Step-by-step explanation:

To determine the number of slices of bread needed to fulfill the deli's order for the company picnic, we need to calculate the total number of sandwiches required and then multiply it by the number of slices each type of sandwich contains.

Let's break it down step by step:

1. For each person attending the picnic, the company wants three sandwiches: one club sandwich and two regular sandwiches. So, for $n$ people, we have $3n$ sandwiches in total.

2. A club sandwich has 3 slices of bread, and a regular sandwich has 2 slices. Therefore, the number of bread slices required for $3n$ sandwiches can be calculated as follows:

- For the $3n$ club sandwiches, we need $3 \times 3n$ slices of bread, which is $9n$ slices.

- For the $3n$ regular sandwiches, we need $2 \times 2 \times 3n$ slices of bread, which is $6n$ slices.

3. In addition to the club and regular sandwiches, the company wants just one Dagwood sandwich, which has 5 slices of bread.

4. To find the total number of slices of bread needed, we add up the slices needed for each type of sandwich:

- $9n$ slices for the club sandwiches

- $6n$ slices for the regular sandwiches

- 5 slices for the Dagwood sandwich

Therefore, the total number of slices of bread required is $9n + 6n + 5$, which can be simplified to $15n + 5$.

So, the fully simplified expression for the number of slices of bread needed by the deli to fulfill the order for the company picnic is $15n + 5$.

Answer:

G: (-2, 0.5)

Step-by-step explanation:

the "X" is -2 and then the "Y" is 0.5 because it is between 0 and 1, so we could the that Y-axis is being added by 0.5 each time.