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abruzzese [7]
4 years ago
11

Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If they make 35 times the

recipe, how many gallons of lemonade will Amy and her sister have? A) 17.5 gallons B) 35 gallons C) 70.5 gallons D) 140 gallons
Mathematics
2 answers:
tensa zangetsu [6.8K]4 years ago
8 0

Answer:

The correct answer is A.) 17.5 gallons

Step-by-step explanation:

There are 4 quarts in one gallon, which means that the recipe makes 1/2 gallon. 35×1/2 = 17.5 gallons.

horrorfan [7]4 years ago
5 0
There are 4 quarts in a gallon, so do the following:

35 * 2 + 70, 70 / 2 = 35

The answer is B.
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2 Which of the following polynomials is not written in standard form?
Varvara68 [4.7K]

Answer:

3

Step-by-step explanation:

Standard form is written in the order of the exponent <em>on</em><em> </em><em>a</em><em> </em><em>variable</em> from highest to lowest.

#1 exponents go 2, 1 , then zero. So, this is standard form.

#2 exponents go 2 then zero, so this is standard form.

#3 exponents go 1 then 2 then zero, so this is <em><u>not</u></em> in standard form.

#4 exponents go 3 to 2 to 1, so this is still in standard form.

hope this helps!

8 0
3 years ago
For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr
viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

x_{2}=3x_{1} -2

substitute in equation (2), we get

9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k

we cannot find the value of x_{1} and x_{2}.

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

4 0
3 years ago
Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true. Group of answer
xz_007 [3.2K]
Just replace all of the x’s with 5 and solve using order of operations. I will post what I got for my answer in the comments of the answer if you need it.
6 0
3 years ago
What is the equation of this graphed line
Bas_tet [7]

Answer:

y= -1x+7

Step-by-step explanation:

I believe this is the correct answer. The graph starts at 7 which is the y-intercept. And starts declining my -1

8 0
3 years ago
Read 2 more answers
12.5% of a number is 25, find the number
tankabanditka [31]

Answer:

200

Step-by-step explanation:

Let's call the number x :
12.5% of x = 25

Changing 12.5% into decimal would be 0.125

Now we have the equation :

0.125x = 25

Divide both sides by 0.125 to make x the subject :

x = 25 ÷ 0.125

x = 200

To check we can substitute this value into the question :

12.5% of 200 = 25

Hope this helped and have a good day

4 0
2 years ago
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