Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half a gallon of water to make each pitcher of juice. One of Ms. Albero’s students said she will mix 8 scoops with 2 gallons of water to get 4 pitchers. How can you use the concept of proportion to decide whether the student is correct?

Answers

Answer 1

2 scoops of powdered drink mix = 1/2 gallon of water

-----------------------
Multiply by 4
-----------------------
2 x 4 scoops = 1/2 x 4 gallon of water
8 scoops = 2 gallon of water

The student is correct.

Answer 2

As long as the amount of water is proportional to the number of scoops of drink mix, then the second quantity, amount of water, can be determined by multiplying the first quantity by the same constant. In this case, if the amount of powdered drink mix is represented by

Related Questions

A flagpole is 4meters tall how many centimeters tall is the flagpole

Answers

1 meter = 100 centimeters therefore,
4 meters = 400 centimeters

whoever answers first gets a brainliest . thanks

Answers

To find the number less than x you have to subtract with the larger number .
8.0-2.5 = 5.5
Find the number that greater than x you have to add those to number
8.0+2.5 = 10.5
So
5.5

8<x<10.5
because it is longer than 8 but if you add the 2.5 to it it is shorter than 10.5

Can someone please help me with 2,3,4

Answers

2. (3) - eye color is non-numerical (blue, green, gray, brown, and so on)

3. (2) - mean is the best measure, because the problem statement tells you that you want to compare "the average amount of time". You could argue that the median might more fairly represent a "typical" time spent exercising, but that is not what the question tells you to compare.

4. (4) 0.90. The data has a positive slope, so r > 0. It falls close to a line, so the correlation is closer to 1 than to 0.

Suppose your heart is beating 72 times per minute. At this rate, how many times will it beat in 15 minutes?

Answers

Hey there!

All you need to do is multiply the beats per minute by 15 minutes.
72 x 15=1080. Your heart will beat 1080 times in 15 minutes.

I hope this helps!

There are 6 brown, 5 blue, and 2 orange marbles in a hat. What is the probability of picking two orange marbles in a row without returning the marbles back to the hat? (Write your answer as a fraction.)

Answers

Hi, I don't know if this is right but I would put 2/13 as the answer. This is because there are 13 marbles in total and 2 are orange. It's probably wrong, but that's what I think...

Enter a recursive rule for the geometric sequence. 10, −80, 640, −5120, ...

a(1)=
a(n)=

Answers

The recursive formula would be:
[tex]a_1=10 \\a_{n}=a_{n-1} \times (-8)[/tex]

This is because the first term, a₁, is 10. A recursive rule is dependent upon the term before it (a(n-1)) and the common ratio. The common ratio, or the number that each term is multiplied by, is -8.

Answer:
The value is:
a(1)=10 and a(n)=(-8)×a(n-1)
Step-by-step explanation:
We are given a sequence as:
10, -80 , 640 , -5120 ,.........
since by looking at the sequence we could see that it is a geometric progression (G.P.) with common ratio -8.
Also a(1) denotes the first term of the sequence and a(n) denotes the nth term of the sequence.
a(1)=10
Also a(n)=(-8)×a(n-1)
since a(1)=10
a(2)=(-8)×10=-80
a(3)=(-8)×(-80)=640
a(4)=(-8)×640=-5120
and so on.
Hence the answer is:
a(1)=10 and a(n)=(-8)×a(n-1)

Must a decimal divisor and a decimal dividend have the same number of decimal places in order to have a whole number quotient? write a division equation using two decimal numbers to support your answer.

Answers

No.

0.5/0.125 = 4 . . . . . 1 dp divided by 3 dp

Answer:
NO. They do not have to be equal
Step-by-step explanation:
A whole number takes place when two conditions are satisfied:
1. The numerator or the dividend is greater than the divisor.
For example, when you divide 0.1 by 0.002.
The dividend 0.1 is greater than 0.002
2. The divisor is small than the dividend.
This rule is the same as one above.
for example:
the quotient x is given by [tex]\frac{1}{0.25}\\ = 4[/tex]

The measures of the angles of triangle ABC are angle a 48 degrees angle B 6x - 28 angle C 2x what is the value of x

Answers

sum of interior angles of a triangle = 180

48 + 6x - 28 + 2x = 180
8x + 20 = 180
8x = 160
x = 20

The sales tax in the city of Taxemalot is 8.1%. What is the growth factor for any item purchased at your local Tarmart? a. 8.1 c. 1.081 b. 0.81 d. 81

Answers

the answer would be c or (B) 0.81

The answer is C. Hope i helped.

A store owner buys a total of 4,000 items for two different products. For shipping costs, it is $0.10 per item of product A and $0.04 per item of product B. If the total shipping cost is $352, which system of equations can be used to determine how much of product A and product B the store owner bought?

Answers

x + y = 4,000
0.1x + 0.04y = 352

Product A represents x and product B represents y. The first equation is the total number of items the store owner buys. The second equation is cost per item for both products. The above system of equations can be used to determine how much product A and product B the store owner bought.

It's C: x+y=4,000 and 0,1x+0.04y=352

if 5 bags cost $255.35 how much would 2 bags cost

Answers

The answer would be $102.14 if you divide 255.35 by 5 then multiply it by 2, you'll get 102.14
255.35 divided by 5 = 51.07 x 2 = 102.14

Hope this helps! ;)

Answer:
yes 102.14

Step-by-step explanation:

there was a warning of volcano eruption in Kilauea in Hawaii. from September 7th to September 8th 2014, the flow advanced about 3/8 kilometers towards the edge of highway 130. the distance (in kilimeters) between the edge of the lava flow and the highway 130 can be given by the function f(t)=6-3/8t where t is the number of days since September 9, 2014. what is the input variables? What are the units of the input variable?

Answers

Answer: The input variable is the number of days since September 9th.. The unit for the input variable is single days.

When you are given an equation, there is an input and an output. In this case, you put in the number of days and the output is the distance between the lava and the road.

If you make a chart of the inputs and outputs, you will see that the lava is getting closer to the road.

The constant of proportionality between the circumference and _______ of a circle is equal to π which means that for any given circle, the length around the circle _______ by its diameter is a little over _______ , or more exactly π

Blank 1: Diameter or radius

Blank 2: Divided or multiplied

Blank 3: 4, 3, or 5
PLEASE ANSWER ASAP

Answers

blank 1= diameter
blank 2 =multiplied
blank 3=3.
Hope this helped!
Sorry couldn't answer faster i didn't see this question.
Mark me as brainliest Please!!!

Median; 1.5
Median; 3
Mean; 1.5
Mean; 3

Answers

When you graph it in a box and whisker plot, the box is skewed so you would do median/IQR
If it was symmetrical, you would do Man/Mean Absolute Deviation

Answer:
the median is the number in the middle the mean is the sum of all numbers and divided
Step-by-step explanation:
mean 1,2,3,4,5,6
1+2+3+4+5+6=21
21/6= 3.5 <- mean
Median 1,2,3,4,5,6
2,3,4,5
3,4
median 3.5

Kim and her 5 friends hiked over a three day weekend hey hiked the same distance each day how many miles did they hike per day?

Answers

Honestly, this would depend how many miles they hiked all together. then you divide it by 3. Until you have the total amount, you don't get a correct answer.

Answer:
3
Step-by-step explanation:

Explain how to write a word problem to match the inequality d < 120. Demonstrate with an example.

Answers

So the Variable D has to be less than 120, which means the problem has to state that a certain number cannot be bigger than 120.
You could accomplish this with a budget, like
D is how much money you plan to spend, but you only have 120 dollars
Something like that

Answer:
So the Variable D has to be less than 120, which means the problem has to state that a certain number cannot be bigger than 120.
Step-by-step explanation:

rewrite using parentheses to make each statement true

a: 42 + 12 ÷ 6 = 9

b: 33 - 14 1/2 + 3 1/2 = 15

c: 32 ÷ 8 x 2 = 2

all i need to know is where parentheses go.

Answers

a. (42+12)

b. (14 1/2 + 3 1/2)

c. (8 x 2)

A. (42 + 12) ÷ 6 = 9
B. 33 - (14 1/2 + 3 1/2) = 15
C.32 ÷ (8 X 2) = 2

Which expression is equivalent to 12(2+3x−6) ?

3x−4

32x−5

3x−5

32x−2

Answers

Simplify: 12(2 + 3x - 6)
= (12)(2 + 3x + - 6) = (12)(2) + (12)(3x) + (12)( - 6)
= 24 + 36x - 72
Answer = 36x - 48

2: Factor:

36x - 48
= 12(3x -4)

Answer
= 12(3x -4)

3: 12(2+3x−6)

= 12(3x + 2 - 6)

= 12(3x - 4)

Your Answer would be (A).

3x - 4

Answer:
A. 3X-4
Step-by-step explanation:

r+3.2=6.1
What is the value of r? Show work

Answers

Hello,

The answer is 2.9.

Reason:

Solve this two ways:

1. You could be just regularly solving the question but subtracting 6.1 to 3.2.

6.1-3.2=2.9

2. Or you could be solving variable.

Subtract 3.2 on both sides:

6.1-3.2=2.9

r=2.9

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

The answer is r = 2.9

Brainliest pts pls

Tamara has 12 pencils. There are three red pencils and p other pencils. Write an equation to represent this situation.

Answers

The answer is either 3+x=12 or 3x=12

The equation is p + 3 = 12

jamal purchased a boat for 7/10 of the asking price of $18,950. He had to pay 6.5% sales tax. What was the amount of Jamal's bill?

Answers

Hello,

Since Jamal is only paying for 7/10 of the asking price, we can multiply it by 0.7.

0.7 x 18950 = 13265

Now, we have to add on the tax, so we should multiply the new amount by 1.065.

13265 x 1.065 = 14127.23

Jamal's bill will be $14,127.23

Good luck,
MrEQ

what is this plzz need help for math homework it is very hard

Answers

For the total length of the five rods in terms of a is L = 15a.
The formula for the Total Length of Five Rods
Certainly! To find a formula for the total length (L) of the five rods in terms of a, let's denote the lengths of the rods as a, 2a, 3a, 4a, and 5a (since there are five rods, each consecutive rod has a length that is one unit greater than the previous rod). So, the lengths of the rods are:
First rod: a
Second rod: 2a
Third rod: 3a
Fourth rod: 4a
Fifth rod: 5a
Now, to find the total length (L), add up the lengths of all the rods:
L = a + 2a + 3a + 4a + 5a
Combine like terms:
L = (1 + 2 + 3 + 4 + 5) · a
The sum of the first n natural numbers is given by the formula n(n + 1)/2, so in this case:
L = 5 · 6/2 · a
Simplify the expression:
L = 15a
So, the formula for the total length L in terms of a is L = 15a.
The complete question is:
Here are five straight rods.
All measurements are in centimeters.
The total length of the five rods is L" " cm.
Find a formula for L in terms of a.
Write your formula as simply as possible.

Solve for d.

13d + 4 = 43

A.3

B.13

C.39

D.None of the above

Answers

Answer is A
Because 43-4=39
39/13=3

A because 13 times 3 is 39 plus 4 is 43

I really need the answer I’ve been stuck on this all day

Answers

the last option since u need to multiply 3 to the other side and divide everything else

[tex]V = \frac{1}{3} lwh \\ 3V = lwh \\ w = \frac{3V}{lh} [/tex]

Those are the steps on how to answer your problem

Jasmine has a piece of ceramic tile that is shaped as a parallelogram. What is the area of this parallelogram?
96 in²
288 in²
352 in²
384 in²

Answers

⓵ To calculate the area of a parallelogram, the formula is base times height, just like the formula for the area of a rectangle! Why? Because if you look closely, every parallelogram can be made into a rectangle just by moving one of the triangle parts of it.

⓶ Now that we know that the formula to calculate the area of a parallelogram is :
A = b × h

You need to find the numbers to replace the base and the height in the formula!

We already know that the height is : 12 in.

So we are left with a formula looking like this :

A = b × 12 in.

⓷ Now we need to find the base! To do so, you need to add the height of the rectangle (which is 8 in.) to the height of one of the triangle (which is 16 in.) :

8 in. + 16 in. = b

↓

8 in. + 16 in. = 24 in.

↓

24 in. = b

So we are left with a formula looking like this:

A = 24 in. × 12 in.

⓸ All there’s left to do now, is calculate the area of the parallelogram using the formula :

A = 24 in. × 12 in.

↓

24 in. × 12 in. = 288 in.²

↓

A = 288 in.²

So your final answer is : the area of this parallelogram is ↠ 288 in.²

I really hope this helped, if there’s anything just let me know! ☻

288 would be your Answer hope this helps

Help needed please and thank you!

Answers

To solve this problem, we use the formula given, which states that SA=6s^2, where SA is the surface area and s is the edge length of the cube.

We were given that the edge length of the cube is 3 1/2 feet, and that we are trying to find the surface area of the cube, so let’s plug these values into our formula.

SA=6(3 1/2)^2
To make this easier to simplify, we are going to replace 3 1/2 with its equal improper fraction, 7/2.
SA=6(7/2)^2
Now, following the order of operations, we are going to simplify what is inside the parenthesis by squaring it.
SA=6(49/4)
Now, we are going to multiply our last two terms together, to get:
SA= 294/4
This number simplifies to 147/2 when we divide both the numerator and denominator by their greatest common factor of 2.
However, the problem asks for your answer as a mixed number in simplest form, which we get when we divide out this improper fraction.
Your final answer is 73 1/2 ft^2.

I hope this helps!

Find the slope.
1.) (-4, -18), (-2, -10)
2.) (-19, 3), (7, 16)

Answers

To find the slope, use rise over run.

1) The difference between x values is 2. This is the run.
The difference between y values is 8. This is the rise.
8 over 2, or 8 divided by 2, is 4. The slope is 4.

1) The difference between x values is 26. This is the run.
The difference between y values is 13. This is the rise.
13 over 26, or 13 divided by 26, is 1/2. The slope is 1/2.

Hope this helps!

How many triangles exist with the given side lengths?

12 in, 15 in, 18 in
A.
No triangle exists with the given side lengths.

B.
More than one unique triangle exists with the given side lengths.

C.
Exactly one unique triangle exists with the given side lengths.

Answers

A. because they are all to diffrent in length to for one

This system has one solution. y=x2−3x+7y=3x−2 What is the y-coordinate of the solution? Enter your answer in the box.

Answers

Answer:
y = 7

Explanation:
The first given equation is:
y = x² - 3x + 7 ...........> equation I
The second given equation is:
y = 3x - 2 ..............> equation II

Substitute with equation I in equation II and solve for x as follows:
y = 3x - 2
x² - 3x + 7 = 3x - 2
x² - 3x + 7 - 3x + 2 = 0
x² - 6x + 9 = 0
(x-3)² = 0
This means that:
x = 3

Now, substitute with the value of x in equation II to get the y as follows:
y = 3x - 2
y = 3(3) - 2
y = 7

Hope this helps :)

which numbers have exactly 2 factors

Answers

Prime numbers, I’m sure, have only two factors.

2 is 1 and 2
3 is 1 and 3

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Some are bright green to blend in with leaves and plants. One special mantis is bright pink and looks like an orchid. The mantis is such a strange and engaging creature that many people keep them as pets. For many reasons, mantids have fascinated humans for many years. First, mantids show an amazing mastery of hunting skills. Mantids eat a wide variety of insects, including moths, crickets, bees, flies, grasshoppers, other mantids, and even, on occasion, small birds and snakes. They can capture prey many times larger than they are. Their powerful armor and amazing hunting skills make them quite effective. They have large powerful front legs, with spikes that help them hold on to prey. Their head can turn almost entirely around to follow prey without moving. Their front legs are so powerful and so fast that it is hard to see them move when capturing prey. One second their legs are empty and the next they are clutching tightly to something they have caught. Mantids are also stealthy. They wait, very still, very patiently for prey to come into sight. They also make slight swaying movements, to mimic leaves and grass moved by the wind. They focus intently on their victim. Then they pounce, suddenly, rarely missing their target. They are so successful they can triple in size every few months by molting when they outgrow their exoskeletons. They start out as nymphs, able to capture only prey that is smaller than they are. They end their lives about a year later becoming predators that can take down prey as large as hummingbirds. Finally, they are very personable, as far as insects go. They have a large, triangular-shaped head with large eyes. This alien-like appearance makes them quite cute. When you come across them in the garden, you can tell right away they are aware of you. They follow your movements as if to assess if you are either something to eat or something that will eat them. The little ones will accept rides on your finger if you are gentle. 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