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mel-nik [20]
3 years ago
9

Camille had $18.90 to spend on groceries. After buying 10 grapefruits, she had $3.90 left. If each grapefruit costs the same amo

unt, what is the price of one grapefruit?
David has a garden with dimensions 11 feet long x 9 feet wide. He wants to enlarge the garden to an area of 126 square feet. How much farther will he need to extend the length of the garden to attain his desired area?
Mathematics
1 answer:
Daniel [21]3 years ago
7 0

Answer:

Step-by-step explanation:

10g=18.9-3.9

10g=15

g=15/10

g=1.5

So each grapefruit costs $1.50

(L+d)9=126 and the original length was 11ft so

(11+d)9=126

99+9d=126

9d=27

d=3

So he needs to extend the length by 3ft

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Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?
prisoha [69]

Answer:

B(x_2,y_2)= (20,12)

Step-by-step explanation:

Given

A = (0,0)

Ratio; m : n = 1 : 3

Point\ at\ 1 : 3 = (5,3)

Required

Coordinates of B

This question will be answered using line ratio formula;

(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

In this case:

(x,y) = (5,3)

(x_1,y_1) = (0,0)

m : n = 1 : 3

Solving for (x_2,y_2)

(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n}) becomes

(5,3) =  (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})

(5,3) =  (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})

(5,3) =  (\frac{x_2}{4},\frac{y_2}{4})

Comparing the right hand side to the left;

\frac{x_2}{4} = 5 -- (1)

\frac{y_2}{4} = 3 -- (2)

Solving (1)

x_2 = 5 * 4

x_2 = 20

Solving (2)

y_2 = 3 * 4

y_2 = 12

Hence;

B(x_2,y_2)= (20,12)

5 0
4 years ago
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. If y
dsp73
Y=k/x²; substitute x=1 and y=1/8: 1/8=k. So y=1/(8x²)
When x=5, y=1/(8×25)=1/200.
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3 years ago
A mechanic purchased two motor bikes for a total of 15,000 and made a profit of 10% when he sold both. He bought the first one f
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Answer:

16

Step-by-step explanation:

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4 years ago
Fill in the answer to 5+5=4+_
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Answer:

6

Step-by-step explanation:

5+5=10, so 4+6=10

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3 years ago
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The answer should be 38/7
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