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Elis [28]
3 years ago
6

. Henry is making a corn grits-recipe

Mathematics
1 answer:
bija089 [108]3 years ago
7 0
3 cups of water is needed
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The expression below represents the perimeter, in feet, of Manual’s garden. 15 + 2x + 7 + 15 + 2x + 7 Use exactly two terms to w
astraxan [27]

The perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden

<h3>The equivalent expression using exactly two terms </h3>

The perimeter is given as:

P =  15 + 2x + 7 + 15 + 2x + 7

Collect like terms

P =  2x + 2x + 7 + 15 +  15  + 7

Evaluate the like terms

P = 4x + 44

<h3>The area of the garden</h3>

The area of the garden is given as:

A = 15(2x + 7).

Expand

A = 30x + 105

Manual's expression of the area is 30x + 7

Hence, Manuel's error is that he did not multiply 15 by 7 when expanding the bracket and the actual area is 30x + 105

<h3>The difference between the areas of Manual’s garden and Sasha's design</h3>

The side length of Sasha's design is:

L = 3x + 5 in

So, the area is:

A = (3x + 5)^2

Expand

A = 9x^2 + 16x + 25

The difference between both areas is:

Difference = 9x^2 + 16x - 30x + 25 - 105

Evaluate

Difference = 9x^2 - 14x - 80

Hence, the difference between the areas of Manual’s garden and Sasha's design is 9x^2 - 14x - 80

<h3>The perimeter of Sasha's garden</h3>

This is calculated using:

P = 4L

So, we have:

P = 12x + 20

The difference between both perimeter is:

Difference = 12x - 4x + 20 - 44

Evaluate

Difference = 8x - 24

Hence, the perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden

Read more about area and perimeter at:

brainly.com/question/24571594

#SPJ1

7 0
2 years ago
What is the product? 3x^5 (2x^2+4x+1)
almond37 [142]
<span><span>the answer is C.) 6x^7...
  </span></span>
5 0
3 years ago
Read 2 more answers
For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second n
vlabodo [156]
(20/10 -1)*100% = 100% . . . . . the second number is 100% larger than the first

(10/20 -1)*100% = -50% . . . . . the first number is 50% smaller than the second
4 0
3 years ago
This is not urgent, so thank you even if you don’t help.
PIT_PIT [208]

Answer:

(1/2) and 9/10

Step-by-step explanation:

\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}

3 0
2 years ago
Ms. Latouche goes shopping. She buys a sweater that normally costs $25.00, but today
Tresset [83]

Answer:

$21.25

Step-by-step explanation:

When finding the amount from a percentage you move the decimal over twice in the percentage.

25 x 0.15 = 3.75

Then subtract what you get to find how much she spent:

25 - 3.75 = 21.25

Hope this helps!! :)

3 0
2 years ago
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