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anygoal [31]
4 years ago
8

three fourths of a spinach casserole is leftover after Sam has lunch .Jackie and Alicia each take 1/2 of the leftover casserole

.Jackie eats only 2/3 of her portion . What fraction of a whole casserole did Jackie eat? draw a model.
Mathematics
1 answer:
scoray [572]4 years ago
6 0
Casserole left over by Sam = 3/4 of the whole

Casserole received by Jackie and Alicie = 1/2 x 3/4 = 3/8 of the whole

Portion eaten by Jackie = 2/3 x 3/8 = 1/4 of the whole
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Sally has $21.40 in dimes and quarters. There are 100 coins in all. How many of each coin does she have?
lyudmila [28]

x = dimes

y = quarters

We also know:

Dimes: 0.10

Quarters: 0.25

100 = x + y

So, 0.10x + 0.25y = 100

And, y = 100 - x

Let’s use substitution:

0.10x + 0.25( 100 - x ) = 100

= 0.10x + 25 - 0.25x = 100

= 25 - 100 = 0.25x - 0.10x

= (-75) = 0.15x

x = (-75) divide by 0.15

x = (-500)

8 0
4 years ago
The length of a rectangular pool is 4 meters less than twice the width. if the pool's perimeter is 88 meters, what is the width?
Usimov [2.4K]
W=x
L=2x-4
Perimeter=88
Perimeter=2(l+w)
88=2(2x-4+x)
88=4x-8+2x
88+8=4x+2x
96=6x
96/6=x
16=x(width)
8 0
4 years ago
Find the sum of the following infinite geometric series, if it exists.
Alex_Xolod [135]

We can see that for every increment, the number gets doubled positively. Since we are looking for the value when the repetition is made infinite, therefore the value at that point would also be infinite. Since infinite is imaginary, therefore the correct answer is:

<span>Does not exist</span>

6 0
4 years ago
A flute case is shaped like a rectangular prism. The caseis 5inches tall, 3 inches wide, and has a volume of 255 cubic inches
Anna [14]

Answer:

The length of the case is 17 inches.

Step-by-step explanation:

A flute case is shaped like a rectangular prism with dimensions:

  • height = 5 inches;
  • width = 3 inches;
  • length = x inches.

The volume of the case is 255 cubic inches.

Use formula for the volume of the rectangular prism:

\text{Volume}=\text{Width}\times \text{Length}\times \text{Height}

Thus,

255=5\cdot x\cdot 3\\ \\255=15x\\ \\x=\dfrac{255}{15}=17

The length of the case is 17 inches.

7 0
3 years ago
Kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Oduvanchick [21]

Answer:

Okay is just a simple answer.

Step-by-step explanation:

5 0
2 years ago
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