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soldi70 [24.7K]
3 years ago
13

3.2/9 = n/36 N=_____ Solve for the proportion

Mathematics
1 answer:
telo118 [61]3 years ago
3 0
3.2/9 = n/36

i would suggest to cross multiply

3.2 * 36 = 9 * n

115.2 = 9n

115.2/9 = 9n/9

12.8 = n
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The midpoint of AB is M (2,0). If the coordinates of A are (7, -2), what
Lubov Fominskaja [6]

Answer:

The coordinates of point B are (-3,2)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

M(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

we have

M(2,0)\\(x_1,y_1)=(7,-2)

substitute

(2,0)=(\frac{7+x_2}{2},\frac{-2+y_2}{2})

Find the value of x_2

we have that

2=\frac{7+x2}{2}

4=7+x_2\\x_2=-3

Find the value of y_2

we have that

0=\frac{-2+y_2}{2}

0=-2+y_2\\y_2=2

therefore

The coordinates of point B are (-3,2)

5 0
3 years ago
A truck with a heavy load drove from Boston to New York at 45 mph. After unloading, it returned from New York to Boston at a spe
V125BC [204]
The distances from Boston to New York and New York to Boston stayed the same.  Going was 45mph and returning was 65mph.  The average would just be the sum of the two, divided by 2

(45+65)/2 = 55mph average
6 0
3 years ago
A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b
Olegator [25]

Answer:

Number of ovens must be manufactured in a given week to generate a profit of $1610  is 70

Step-by-step explanation:

We are given

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula

P=\frac{1}{10}x(300-x)

provided that 0 ≤ x ≤ 200

We are given

profit is $1610

so, we can set P=1610

and then we can solve for x

1610=\frac{1}{10}x(300-x)

Multiply both sides by 10

1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10

16100=x\left(300-x\right)

16100=300x-x^2

-x^2+300x-16100=0

now, we can factor it

(x-70)(x-230)=0

we can solve for x

and we get

x=70,x=230

Since, x=230 does not lie on 0 ≤ x ≤ 200

So, we will consider only x=70

So,

Number of ovens must be manufactured in a given week to generate a profit of $1610  is 70


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What is the time elaspsed between 11:00 and 2:15
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