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just olya [345]

2 years ago

10

At the red box, you can rent DVDs for $1.75 each per day, or you can get unlimited rentals for a monthly fee of $30. At most, ho

w many DVDs could you rent at $1.75 before spending more than the cost of a month's unlimited rentals?

1 answer:

suter [353]2 years ago

3 0

17 would be the answer, you divide 30 by 1.75 and you get 17.14 but you can’t buy .14th of a book so you’re left with 17

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in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.

Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

$hypotenuse^2=base^2+perpendicular^2$

Use pythagoras formula for triangle PQM.

$PM^2=QM^2+PQ^2$

$PM^2=(6)^2+(8)^2$

$PM^2=36+64$

$PM^2=100$

$PM=10$

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

$PQ^2=QR^2+PR^2$

$(8)^2=QR^2+x^2$

$64-x^2=QR^2$ .....(1)

Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

$(6)^2=QR^2+(10-x)^2$

$36=QR^2+x^2-20x+100$

$36-x^2+20x-100=QR^2$ .... (2)

From equation (1) and (2) we get

$36-x^2+20x-100=64-x^2$

$20x-64=64$

$20x=128$

$x=6.4$

Therefore length of PR is 6.4 units and option 4 is correct.

3 0

2 years ago

there are $3.90 worth of nickles and quarters in a piggy bank. there are 6 more quarters than nickels. how many coins are in the

Murrr4er [49]

Answer:

8 nickels and 14 quarters

Step-by-step explanation:

4 0

2 years ago

Please answer ASAP! An explanation is a MUST REQUIREMENT in order to receive points and the Brainliest answer. Thank you.

Jet001 [13]

$(\sqrt[3]{x^{2}})^{6}=x^{(2* \frac{1}{3})*6}=x^{ \frac{2}{3}*6 } =x^{4}$

5 0

3 years ago

Read 2 more answers

Nicole deposits $2,136 in a savings account paying 5.36% interest. To the nearest dollar, how much money does Nicole have in tot

jeka57 [31]

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=9\ years\\ P=\$2,136\\ A=?\\r=0.0536$

substitute in the formula above

$A=2,136(1+0.0536*9)$

$A=2,136(1.4824)$

$A=\$3,166.41$

Round to the nearest dollar

$A=\$3,166$

therefore

<u>the answer is the option D</u>

$\$3,166$

5 0

3 years ago

Read 2 more answers

Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will h

zhannawk [14.2K]

Answer:

314,118

Step-by-step explanation:

5 0

2 years ago