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Komok [63]
1 year ago
12

A particular shade of paint is made by mixing five parts of red paint with seven parts of blue paint. To make the correct shade,

Shannon makes 12 quarts of blue paint with 8 quarts of red paint. Did Shannon mix the correct shade? Explain.
Mathematics
1 answer:
frutty [35]1 year ago
5 0

We get that Shannon did not mix the correct shade as the ratios are not equal.

We are given that a particular shade of paint is made by mixing five parts of red paint with seven parts of blue paint.

This means that the ratio of the paints in that shade is

Red : Blue = 5 : 7.

Now, we are also given that to make the correct shade, Shannon makes 12 quarts of blue paint with 8 quarts of red paint.

Here the ratio becomes:

Red : Blue = 8 : 12

= 4 : 6

= 2 : 3

Now, since both the ratios are not equal, he did not mix the correct shade.

Therefore, we get that Shannon did not mix the correct shade as the ratios are not equal.

Learn more about ratios here:

brainly.com/question/2784798

#SPJ9

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A pyramid has a rectangular base of length (3x + 1)cm and width xcm.
sergey [27]

Answer:

The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

Step-by-step explanation:

Given

Rectangle Pyramid

Base Length = 3x + 1

Base Width = x

Height = 12

Volume = 96

Required

Dimension of the base of the pyramid

Given that the volume of the pyramid is ⅓ of the base area * the height.

This is represented mathematical as

Volume = ⅓ * base area * height.

Where

Base area = width * length

Base area = (3x + 1) * x

Base area = 3x² + x.

So,

Volume becomes

Volume = ⅓ * (3x² + x) * 12.

Volume = (3x² + x) * 4

Substitute 96 for volume

96 = (3x² + x) * 4

Divide both sides by 4

96/4 = (3x² + x) * 4/4

24 = 3x² + x

Subtract 24 fr both sides

24 - 24 = 3x² + x - 24

0 = 3x² + x - 24

3x² + x - 24 = 0

Expand

3x² + 9x - 8x - 24 = 0

Factorize

3x(x + 3) - 8(x + 3) = 0

(3x - 8)(x + 3) = 0

3x - 8 = 0 or x + 3 = 0

3x = 8 or x = -3

x = 8/3 or x = -3

Recall that

Length = 3x + 1

Width = x

For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.

Substitute x = 8/3

Length = 3x + 1

Length = 3(8/3) + 1

Length = 8 + 1

Length = 9

Width = x

Width = 8/3

Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

7 0
3 years ago
Can someone help I’m confused
PtichkaEL [24]
Since the slope is -2 we know that m=-2. Now use the standard form of y=mx+b and plug in the coordinates (-8,2). We know y=2, x=-8, and m=-2. Therefore we get 2=-2(-8)+b. Now solve for b and you get -14. Therefore, the equation is y=-2x-14.
Hope this helped!
4 0
2 years ago
A family of 6 is going to the fair. They have a coupon for $1.50 off each ticket. If they pay $46.50 for all their tickets, how
madreJ [45]

Answer:

35.00

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Im stuck on this question i need help
Korolek [52]
I think it’s one half 1/2
4 0
3 years ago
1. 1 +2r =<br><br><br> 2. 12 = 18 - d<br><br><br> 3. 5b + 10 = 30
seropon [69]

Answer:

1. r=anything

2. d=6

3. b=4

Step-by-step explanation:

6 0
2 years ago
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