Mathematics College

How many gallons of punch will sadie make?

Answers

Answer 1

Sadie will make 3 gallons of punch.


First, let's convert all the measurements to the same unit, such as gallons.

1 gallon = 4 quarts

1 gallon = 8 pints

1 gallon = 16 cups

Now, let's convert each ingredient:

1. Lemon-lime juice: 8 quarts = 8/4 = 2 gallons

2. Vanilla ice cream: 4 pints = 4/8 = 0.5 gallons

3. Orange juice: 8 cups = 8/16 = 0.5 gallons

Now, let's sum up the amounts of each ingredient:

2 gallons (lemon-lime juice) + 0.5 gallons (vanilla ice cream) + 0.5 gallons (orange juice) = 3 gallons

Complete question: Using 8 quarts lemon-lime juice , 4 pints vanilla ice cream , 8 cups orange juice .How many gallons of punch will Sadie make?

Related Questions

Find the area of the circle in terms of Pi

Answers

Let's start with the area of a circle formula: A = pi * r^2, where r is the radius. The radius is half the diameter. Since the diameter here is 6, the radius is 3. Now we can start solving!
1) A = pi* (3^2)
2) A = 9pi
The area in terms of pi is 9pi cm^2.
I got 9pi cm^2, but it is always helpful to double check work. Hope this helps!
The area of the circle: [tex]A=\pi r^2[/tex]

r - the radius

We have the diameter of the circle: d = 6cm.
d = 2r, therefore

2r = 6cm → r = 3cm

Substitute to the formula:

[tex]A=\pi\cdot3^2=9\pi\ cm^2[/tex]

Sunny's garden has 9 tomato plants, 5 pepper plants, 3 squash plants, and 6 pumpkin plants. For every 3 tomato plants in Sunny's garden, there is 1 ____ plant.

Answers

9 total tomato plants  /  3 plants = 3

from the list of plants there are 3 squash plants

3 squash plants x 3 tomato plants = 9 total tomato plants

 the answer is Squash Plants

Answer: Squash plant is the right answer to fill the blank.

Step-by-step explanation:

Since we have given that

Number of tomato plants = 9

Number of pepper plants = 5

Number of squash plants = 3

Number of pumpkin plants = 6

Since the ratio of tomato plants to squash plants is 9 : 3 = 3 : 1.

So, for every 3 tomato plants in Sunny's garden, there is 1 squash plant.

Hence, Squash plant is the right answer to fill the blank.

Hey can you please help me posted picture of question

Answers

The correct answer is the option C, which is:

 C. G(x)=x-6

 The explanation is shown below:

 You have that the patern function of the linear function is: F(x)=x. By definition, the patern function is the most basic function in the families of functions. If you have the linear function f(x)=x and you shifted it 6 units down, the function will be: f(x)=x-6, which inficates the it moves 6 units on the –y axis. Therefore, as you can see, the correct answer is the option mentioned above (The option C).

A) suppose you will receive $200 in 16 years. how much money in year 6 is equivalent to this amount?

Answers

$200=16
simplify
200/16=12.5
12.5*6=75
Answer = 75

G a family has five children. if it is just as likely to have a boy as a girl, what is the probability that 3 of the children are girls and 2 are boys?

Answers

there is a 3/5 or 60% probability that there will be 3 girls and a 2/5 or 40% probability that there will be boys 

John's monthly salary is 7,000. If John deposits 0.75 of his paycheck into a savings account. How much money does he put in his savings account every month?

Answers

John deposits $5,250 into his savings account every month, which is 75% of his monthly salary.

The student's question is about how much money John deposits into his savings account from his monthly salary. To solve this, we calculate 0.75 (or 75%) of John's monthly salary of 7,000.

Calculation: 0.75  imes 7,000 = 5,250

So, John deposits $5,250 into his savings account every month.

Simplify 5(7y+2) can someone help me with the steps on how to simplify this problem and answer as an expression

Answers

5(7y + 2)

Distribute (multiply) the 2 to the numbers in the parentheses.

35y + 10

Factor the Following Expression using the greatest common monomial factor. (x^p+2)(y^p+2) + (x^p+2)(y^p-1) + (x^p+1)(y^p+1) + (x^p+1)(y^p-1)

Answers

As written, there is no common monomial factor. We assume you intend to factor ...
[tex]x^{p+2}y^{p+2}+x^{p+2}y^{p-1}+x^{p+1}y^{p+1}+x^{p+1}y^{p-1}\\\\=(x^{p+1}y^{p-1})(xy^{3}+x+y^{2}+1)[/tex]

Find the perimeter and the area of a rectangle measuring 8 1/4 yd long by 4 1/8 yd wide

Answers

8.25 * 4.125 = 34.03125 square yards

perimeter = 2 * 8.25 + 2 * 4.125 =
16.50 + 8.25 =
24.75 yards


hello can you please help me posted picture of question

Answers

Probability is calculated as:"Total number of Favorable outcomes divided by Total number of outcomes in the sample space".

The favorable outcomes in this case are the numbers divisible by 3. So the numerator lists the numbers that are divisible by 3, which are the favorable outcomes.

So, the answer to this question is option C

write the ratio 41 to 100 as a percent

Answers

Answer:

[tex]41\%[/tex]

Step-by-step explanation:

we have the ratio

[tex]\frac{41}{100}[/tex]

To write as percent, multiply the ratio by 100

so

[tex]\frac{41}{100}*100=41*100/100=41\%[/tex]

Simplify the expression 6sqrt2/sqrt3

Answers

The answer would be 2√​6 and in decimal form 4.898979, I hope this helps!
Hello!

First you factor the 6

[tex] \frac{2 * 3 \sqrt{2} }{ \sqrt{3} } [/tex]

Simplify

[tex]2 \sqrt{2} * \sqrt{3} [/tex]

Multiply the square roots

[tex]2 \sqrt{6} [/tex]

The answer is [tex]2 \sqrt{6} [/tex]

Hope this helps!

T-Shirts R Us advertises shirts as shown below. mc002-1.jpg Which quantities in the advertisement represent a unit rate?

Answers

Answer:

C.) $10 per shirt

Step-by-step explanation:

have a nice day

The option C is more simplified answer for given condition, unit rate is $10.

What is unit rate?

When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another. When the rate's denominator is 1, we refer to the rate as a unit rate.

Given

There are 5 shirts in the image given to us composed of 3 white shirts and 2 black shirts.

A rate with 1 as its denominator is known as a unit rate.

Option A: A ratio of 3:2 or a fraction of 3/2 is indicated by 3 white shirts and 2 white black shirts.

The denominator is not 1, hence this cannot be a unit rate.

Option B: 5 white shirts to 2 black shirts. This cannot be a unit rate because the fraction 2/5 will not have 1 as the denominator.

Choice C: $10 for each shirt. Because it represents a ratio of 10:1 or a fraction of 10/1, this rate is a unit rate. Therefore, the price of 5 shirts will be $50.

D: $50 for each shirt. Because option C has provided us with a more straightforward sum of $10, which we must accept as we are dealing with unit rates, this would not be a unit rate in this question.

Hence Option C is most suitable answer.

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The complete question is in image.

Which of the following statements is true? If two polygons are similar, then the corresponding sides are proportional and the corresponding angles are proportional. If two polygons are similar, then the corresponding sides are proportional and the corresponding angles are congruent. If two polygons are similar, then the corresponding sides are congruent and the corresponding angles are proportional. None of the choices are correct.

Answers

Final answer:

The correct statement is that if two polygons are similar, their corresponding sides are proportional while their corresponding angles are congruent. Similar polygons have the same shape but can have different sizes, and this applies across various geometrical figures and principles, like the Pythagorean theorem in the context of right triangles.

Explanation:

The correct statement among the given options is: If two polygons are similar, then the corresponding sides are proportional and the corresponding angles are congruent. When polygons are similar, this means their shapes are geometrically the same but they may differ in size. The ratios of the lengths of corresponding sides of similar polygons are equal, which is true for any pairs of similar polygons, not just triangles. The corresponding angles, on the other hand, are congruent, which means they have the same measure in both polygons.

To explain this concept, we use different examples in geometry. For instance, in similar triangles, not only are the three angles in one triangle congruent to the three angles in the other, but also the sides are proportional, which can be expressed as the ratio of any two corresponding sides in the two triangles being equal. This proportional relationship is a key characteristic of similarity in geometry.

Moreover, a statement like the Pythagorean theorem applies to right triangles, stating that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem is connected to similarity because one can generate a family of similar right triangles by scaling a single right triangle.

Find the volume of the given prism round it to the nearest tenth, 6 cm, 3.9 cm, 13.2 cm

Answers

The volume of a rectangular prism is the product of its dimensions.
  (6 cm)*(3.9 cm)*(13.2 cm) ≈ 308.9 cm³

Given a mean of 24.5 and a standard deviation of 1.7, within how many standard deviations of the mean do the values 24, 23, 28, 23, 24, and 25 fall?

Answers

It would be 3. I hope this helps!

Given mean = 24.5 and standard deviation = 1.7

Within 1 standard deviations, x ∈ [24.5 - 1.7 , 24.5 + 1.7] or [22.8 , 26.2].

Within 2 standard deviations, x ∈ [24.5 - 2(1.7) , 24.5 + 2(1.7)] or [21.1 , 27.9].

Within 3 standard deviations, x ∈ [24.5 - 3(1.7) , 24.5 + 3(1.7)] or [19.4 , 29.6].

Given values are 24, 23, 28, 23, 24, and 25.

So {24, 23, 23, 24, 25} fall within 1 standard deviation and {28} falls within 3 standard deviations.

You are laying an asphalt driveway. How much area must you cover if the driveway is 21 feet long and 10.5 feet wide?

Answers

we know that

An asphalt driveway has the shape of a rectangle
so
area of rectangle=long*wide
area=21*10.5-----> 220.5 ft²

the answer is
220.5 ft²

Randy worked 18 hours each week for four weeks. for each of the next four weeks, he worked 1/3 fewer hours as the previous four weeks. what was the total number of hours he worked for the eight weeks

Answers

from 1st week to 4th: 18 x 4= 72 hours
from 5th week to 8th week: 18 x 1/3 x 4 = 48 hours
72 + 48 = 120 hours

find the range for the given data in 115, 534, 122, 599, 417, 289 A) 534 B) 167 C)115 D)484

Answers

The answer is 484.Or D.
The answer is D) 484

the dump truck weighs 18 tons when filled. at the same time the dump truck is being filled, an identical truck filled to capacity is being emptied at a rate of 1/8 ton per minute. how much sad is in each dump truck when the trucks are the same weight

Answers

2.25 tons would be without sand


Answer:2 .25 Tons

Step-by-step explanation:

Weight of truck + sand when filled= 18 tons

Discharge rate per minute= 1/8 tons/ minute

Quantity of sand in the truck will be:

1/8tons per minute×18tons = 9/4 = 2.25tons

How do I answer this dot plot?

Answers

It would seem the problem requires you compute the mean, median, and standard deviation of each of the data sets. This is nicely done using the statistics functions of your graphing calculator.

Data Set A (mean, median, standard deviation) = (29.7, 29.5, √12.71)
Data Set B (mean, median, standard deviation) = (27.95, 27, √6.1475)

1. False. Data Set B is skewed to the right.
2. TRUE. 27.95 is within 3 of 29.7.
3. False. √12.71 ≠ √6.1475
4. False. The mean of Data Set A is 29.7.
5. False. Data Set A has the higher standard deviation.
6. TRUE. 29.7 is close to 29.5.

The true statements are
• the 2nd one
• the 6th one

Two urns contain white balls and yellow balls. The first urn contains 5 white balls and 8 yellow balls and the second urn contains 9 white balls and 2 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?

Answers

About 31.5% when rounded. 

This is because you have to start with the probability of each urn. The first urn has 13 total balls (5 white and 8 yellow). Since 5 of them are white, the odds of pulling a white ball are 5/13. Then find the same for the second urn (9 white and 2 yellow). Therefore there are 11 total balls and 9/11 chance of getting a white one. After finding both, multiply them together to get the answer.

[tex] \frac{5}{13} [/tex] * [tex] \frac{9}{11} [/tex] = [tex] \frac{45}{143} [/tex] = 31.5%
For the first urn:

p(white ball) = 5/13

For the second urn:

p(white ball) = 9/11

Since the two drawings are independent events, the probability of both happening is the product of the individual probabilities.

p(drawing two white balls) = 5/13 * 9/11 = 45/143

Given: ΔSTQ, ST = TQ
Line SD is perpendicular to TQ
m∠1=32°
Find: m∠S, m∠T, m∠Q

Answers

Answer:  m∠S = 58 ° ;  m∠T = 64 ° ;  m∠Q = 58 ° .
__________________________________________________________

Explanation:
__________________________________________________________
  
To find "m∠Q" :

Consider the triangle formed by ∠D , ∠1, and ∠Q  ; 

  Given m∠1 = 32° ; 
   
       and  m∠D = 90° (a "right triangle" ; as shown in "image attached" ; 

and by definition, all triangles have 3 angles and 3 sides; and all 3 angles of a triangle add up to 180° ; 

→  m∠Q  =  180 − (90 + 32) = 180 − 122 = 58 ; 
_______________________________________________________

Since this is an "isosceles triangle" ;  

→  m∠S = m∠Q = 58° .

Since all angles of any triangle add up to " 180° " ; 

→ m∠T = 180 − (58 + 58) = 180 − 116 = 64 ; 
____________________________________________

Answer:  m∠S = 58 ° ;  m∠T = 64 ° ;  m∠Q = 58 ° .
____________________________________________

Answer:

s=58 degrees, Q=58 degrees, T=64 degrees

Step-by-step explanation:

Consider the triangle formed by ∠D , ∠1, and ∠Q  ;

 Given m∠1 = 32° ;

 

      and  m∠D = 90° (a "right triangle" ; as shown in "image attached" ;

and by definition, all triangles have 3 angles and 3 sides; and all 3 angles of a triangle add up to 180° ;

→  m∠Q  =  180 − (90 + 32) = 180 − 122 = 58

The scores on a university examination are normally distributed with a mean of 62 and a standard deviation of 11. if the bottom 5% of students will fail the course, what is the lowest mark that a student can have and still be awarded a passing grade? give the answer that is closest to the exact number.

Answers

The lowest score will be obtained as follows:
the z-score is given by:
z=(x-μ)/σ
where:
σ-standard deviation
μ- mean

we are required to evaluate for x, given that P(x<X)=0.05
The value of z that corresponds to 5% will be:
z=-1.65
thus plugging our values we obtain:
-1.65=(x-62)/11
solving for x we get:
-18.15=x-62
thus
x=-18.15+62
x=43.85
x~44
Thus the lowest score is 44

The lowest marks that a student can have and still be awarded a passing grade is 44.

Step-by-step explanation:

Given :

Mean, [tex]\mu = 62[/tex]

Standard Deviation, [tex]\sigma = 11[/tex]

Calculation :

z score is given by,

[tex]z = \dfrac{x-\mu }{\sigma}[/tex] ----- (1)

Value of z corresponds to 5% is,

[tex]z =-1.65[/tex]

from equation (1) we get,

[tex]-1.65=\dfrac{x-62}{11}[/tex]

[tex]x=43.85[/tex]

[tex]\rm x = 44 \;\;(Approx)[/tex]

The lowest marks that a student can have and still be awarded a passing grade is 44.

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Arnob may want to borrow his cousin’s tent, which is shown below. He needs to determine x, the center height of the tent, to determine if it will be large enough for his camping trip. (Picture below)

What is the center height of this tent, to the nearest tenth of a foot?

4.1 feet
8.1 feet
9.8 feet
12.0 feet

Answers

In this question, we will use Pythagoras theorem in order to find the height of the tent.


The center height of tent is 8.1 feet.

What is right triangle?

Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

What is Pythagoras theorem?

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular² + base² = hypotenuse²

Given,

Side length of each triangle = 4 feet

Hypotenuse of each triangle = 9 feet

Shared side = x

Given the triangles are right angled,

According to Pythagoras theorem,

a² + b² = c²

Here, a = 4 , b = x , c= 9

Substitute the values in Pythagoras theorem,

4² + x² = 9²

16 + x² = 81

x² = 81 - 16

x² = 65

Taking square root on both sides

x = √65

x = 8.062

x = 8.1 (Rounding nearest tenth)

Hence, the center height of tent is 8.1 feet.

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Corey drew 8 shapes. Four are squares, two are triangles, and the rest are parallelogram. Write two fractions that name the part of the shapes that are quadrilaterals

Answers

The part of the shapes that are quadrilaterals are represented as
6(4 squares and 2 parallelograms) out of 8

6/8 = 3/4

The two fractions are 6/8 and 3/4.

what is 0.0003840 expressed in scientific notation

Answers

You can write the fraction 0.0003840 a number of ways.
  0.0003840 = 0.003840/10 = 0.03840/100 = 0.3840/1000 = 3.840/10000

The one we're interested in is the last one, which has one non-zero digit to the left of the decimal point. The power of 10 in the denominator is the 4th power (the number of zeros is 4). 10^4 in the denominator is equivalent to multiplying by 10^(-4) in the numerator.

Expressed in scientific notation,
[tex]0.0003840=3.840 \cdot 10^{-4}[/tex]

0.0003840

Written in scientific notation!

Move the decimal point.

.00384 x 10^1

.0384 x 10^2

.384 x 10^3

3.84 x 10^4

38.4 x 10^5


The pyramid shown has a square base that is 14 centimeters on each side. The slant height is 15 centimeters. What is the surface area of the pyramid?

Answers

we know that

[surface area of the pyramid]=area of the base+4*[area of one lateral triangle]
area of the base=14*14------> 196 cm²

area of one lateral triangle=b*h/2
b is the length side of the square
b=14 cm
h is the slant height
h=15 cm
area of one lateral triangle=14*15/2-----> 105 cm²

[surface area of the pyramid]=196 cm²+4*[105 cm²]-----> 616 cm²

the answer is
616 cm²

How would you solve 1/8 divided by 6

Answers

The required 1/8 divided by 6 is equal to 1/48.

To solve 1/8 divided by 6, we can rewrite it as a fraction. The reciprocal of 6 is 1/6, so the division problem becomes (1/8) * (1/6). To multiply fractions, we multiply the numerators together and the denominators together.

Step 1 is given as:
= (1/8) * (1/6)


Step 2(simplification) is given as:

= 1 * 1 / 8 * 6
= 1/48

Therefore, the required 1/8 divided by 6 is equal to 1/48.

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hey can you please help me posted picture of question

Answers

The statement is False,

The function and its inverse are reflected about the line y=x. This means that the x and y values are replaced.

So, if a function has a point (2,3) the same point on its inverse will moved be (3,2). This happens for all the points.

Therefore, the statement is false. 
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