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Varvara68 [4.7K]
3 years ago
10

Megan and Heidi are making cookies for an upcoming bake sale. Megan is making chocolate chip cookies and Heidi is making sugar c

ookies. If Megan plans to make x bags of cookies, the equation below represents the total number of cookies she will need to make. y= 8x
Heidi recorded the total number of cookies she would need to make in the table.
Bags Total Number
of Cookies
10 50
12 60
14 70
16 80
If Megan and Heidi make the same number of bags of cookies, who will have to make the least amount of cookies?
Mathematics
1 answer:
koban [17]3 years ago
7 0

Answer:

Heidi (260 cookies)

Step-by-step explanation:

Megan's equation is given as y=8x, where x is the number of bags, and y the number of cookies:

#First calculate Heidi's total number of bags, cookies and cookies:

H_b=\sum{bags}\\\\=10+12+14+16\\\\=52 \ bags\\\\H_c=\sum{cookies}\\\\=50+60+70+80\\\\=260 \ cookies

#Given that both Heidi and Megan make the same number of bags of cookies, Megan's cookies totals to:

H_b=M_B=52 \ Bags\\\\M_c=y=8x, x=52\\\\y=8\times 52\\\\=416\\

Hence, Megan makes 416 cookies.

#From our calculations:

416>260\\\\M_c>H_c

Hence, Heidi makes the least number of cookies(260 cookies) compared to Megan's 416 cookies.

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Answer:

See below.

Step-by-step explanation:

Recall the equation for a circle:

(x-h)^2+(y-k)^2=r^2, where (h,k) is the center and r is the radius.

We need to turn the given equation into the above format. We do this by completing the square.

First, group them:

(x^2+18x)+(y^2+14y)=-105

For the first section, complete the square for x^2+18x:

x^2+18x+81-81

(x+9)^2-81

Do the same for the second:

y^2+14y

y^2+14y+49-49

(y+7)^2-49

All together:

((x+9)^2-81)+((y+7)^2-49)=-105

(x+9)^2+(y+7)^2-130=-105

(x+9)^2+(y+7)^2=25

The center is (-9,-7).

The radius is \sqrt{25}=5

5 0
3 years ago
Mr. and Mrs. Storey drove 3,200 miles in all during their vacation. Mr. Storey drove 3 times as much as Mrs. Storey. How many mi
baherus [9]
Mr. drove 3 times more then Mrs.. ok

so how far Mrs. drove will be X
and Mr. will be Y
but we know that Mr. drove 3 times more then Mrs therefor 
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3,200=X+Y
3,200= X+(3X)
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div both by 4
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4 0
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cestrela7 [59]
Hello!

Answer:
$2,615
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The balance of $ 2,056 is a positive number,
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3 years ago
What is the slope of the line that passes through the points (-9, -8)((−15,−16)? Write your answer in simplest form.
alexandr402 [8]

Answer:

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

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Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -9 ,-8)

point B( x₂ , y₂ )≡ (-15 ,-16)

To Find:  

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Solution:

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Substituting the values we get

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Slope(AB)=\dfrac{4}{3}

4 0
4 years ago
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