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WARRIOR [948]
3 years ago
11

A container of fruit punch serves 16 cups how many quarts of punch are in the container

Mathematics
2 answers:
tamaranim1 [39]3 years ago
7 0

Answer:

4

Step-by-step explanation:

16 cups = 4 quarts

Please mark brainliest and have a great day!

zubka84 [21]3 years ago
7 0

<u>Answer:</u>

4 quarts

<u>Step-by-step explanation:</u>

We are given that a container of fruit punch serves 16 cups and we are to find the number of quarts that are in a container.

For this, we will use the ratio method.

We know that, 1 cup = 0.25 quarts, so:

\frac { 1 cup } { 1 6 cups } = \frac { 0 . 2 5 quarts } { x }

x = 1 6 \times 0 . 2 5

x=4 quarts

Therefore, there are 4 quarts of fruit punch in the container.

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four students spent 12 on school lunch.at this rate find the amount 10 students would spend on the same school lunch
zloy xaker [14]

Step 1: Set up the proportion

4/12 = 10/x

Step 2: Cross multiply to get

120 = 4x

Step 3: Divide all by 4 to get

30 = x

Answer: So in total, 10 students would spend $30 on lunch!



4 0
3 years ago
-x+ 2y = 10<br> -3x+By = 11
adoni [48]

Answer:

change the equation into one variable.

2 y equals 10 + x

y equals 5 + x by 2

now put that into the second equation

-3x + b parentheses 5 + x / 2 equals 11

-3x+b(5+ x/2)

-3x + b5 + bx/2 = 11

8 0
3 years ago
Read 2 more answers
Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Serga [27]

Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

6 0
3 years ago
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statemen
astraxan [27]

Answer:

angle BEC is congruent to angle FEG (vertical opposite angles)

other than that, I'm not sure if the other angles are congruent bc of their marks.

Step-by-step explanation:

5 0
2 years ago
What’s x ?? Help plzzz
AnnyKZ [126]

Answer:

x = 69°

Step-by-step explanation:

1). JFGHI is a pentagon, every angle in a Pentagon is equal to 108°.

2). angle JIH + angle HIE = 180°; angle JIH = 108, so angle HIE = 72°.

3).  angle JDI is equal to 39° and angle IEH; so angle IEH = 39°

4). Now we know 2 out of the three angles in the triangle IHE, so we can find x!

5). x + angle HIE + angle IEH = 180°

    x + 72° + 39° = 180°

    x = 69°

5 0
3 years ago
Read 2 more answers
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