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3 years ago

13

How can you use factors to write a number as a product?

1 answer:

vekshin13 years ago

8 0

You would have to multiple the two factors to get the number as a product.

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Hey 1200 seat theater sells two types of tickets for a concert. premium seats sell for $30 each and regular seats so for $20 eac

STatiana [176]

X = premium seats
y = regular seats
You need two equations: (x + y - 10 = 1200) and (30x + 20y = 30,180)
1.) Isolate one variable
y = 1,210 - x
2.) Plug the new equation into the second ORIGINAL equation
30x +20(1,210 - x) = 30,180
3.) Ditribute
30x + 24,200 - 20x = 30,180
4.) Add like terms
10x + 24,200 = 30,180
5.) Subtract 24,000 from either side
10x = 6,180
6.) Solve for x
x = 618
7.) Plug in x to the equation of your choosing
618 + y - 10 = 1200
8.) Solve for y
608 + y = 1,200
y = 592
The theater sold 592 regular seats and 618 premium seats.

3 0

3 years ago

Read 2 more answers

What is (−8 3/4)÷2 1/6?

docker41 [41]

Answer:

-4.03846153846

Step-by-step explanation:

done

5 0

2 years ago

An english reading list has 9 american novels and 7 english novels. A student must read 5 from the list and at least 3 must be e

Elenna [48]

$_7C_3\cdot {_{13}C_2}=\dfrac{7!}{3!4!}\cdot\dfrac{13!}{2!11!}=\dfrac{5\cdot6\cdot7}{2\cdot3}\cdot\dfrac{12\cdot13}{2}=2730$

7 0

3 years ago

The length of a rectangle is 5 more than 3 times the width. Write and solve an equation to find the width (w) if the length is 1

GenaCL600 [577]

Answer:

Length = 42.5 cm

Step-by-step explanation:

length of rectangle = 5 + 3w

So l = 5 + 3w where w = 12.5

Equation:

L = 5 + 3(12.5)

Solving the Equation:

L = 5 + 3(12.5)

L = 5 + 36 + 1.5

L = 42.5

Length: 42.5 cm

If my answer is incorrect, pls correct me!

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-Chetan K

4 0

3 years ago

Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years

mylen [45]

Answer:

The value of annuity is $P_v = \$ 7929.9$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 250$

The interest rate is $r = 5\% = 0.05$

Frequency at which it occurs in a year is n = 4 (quarterly )

The number of years is $t = 10 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 250 * [1 - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]$

$P_v = 250 * [1 - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]$

$P_v = 250 * [0.3916 ] * [\frac{(1.0125)}{0.0125} ]$

$P_v = \$ 7929.9$

8 0

3 years ago