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3 years ago

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

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therefore

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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

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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

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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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