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2 years ago

Determine the volume of the rectangular prism. height:12ft width:6ft length:3ft

Mathematics

1 answer:

oksian1 [2.3K]2 years ago

5 0

Answer:

216 ft³

Step-by-step explanation:

h*w*l=v

$12 \times 6 \times 3 = 216$

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Which ordered pair is a solution of the equation? y=8x+3y=8x+3

Mrac [35]

Multiply the first equation by 4 (so that both equations will have 8x terms) and then subtract:

8x-20y = -24

8x +3y = 68

------------

0 -23y = -92

Now divide both sides by -23:

y = 4

Find x by plugging y=4 into either equation:

8x +3(4) = 68

8x = 68 - 12

8x = 56

x = 7

So the answer is ordered pair is (7,4)

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3 years ago

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What is the probability of receiving a 6 or a 9 from a deck of 52 cards?

Anna11 [10]

There are four 6's and four 9's.

8/52

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3 years ago

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Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam

kogti [31]

Answer:

Advance tickets-$15

Same-day tickets-$20

Step-by-step explanation:

let x be the cost of advance tickets and y cost of same-day tickets:

$x+y=35\ \ \ \ \ \ \ ...i$

Given that there were 40 advance and 25 same-day tickets for a total of $1100:

$40x+25y=1100\\\\8x+5y=220\ \ \ \ \ \ \ \ \ \ \ ...ii$

#Make x the subject in i and substitute in ii:

$x=35-y\\\\\therefore 8x+5y=220, x=35-y\\\\8(35-y)+5y=220\\\\280-8y+5y=220\\\\60=3y\\\\y=20\\\\x=35-y=35-20=15$

Hence, advance tickets cost $15 each while same-day tickets cost $20 each.

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3 years ago

What is the slope of line 2x-3y=19.<br>

KengaRu [80]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

Given Equation of line: y=mx+c,

where m = slope of line.

So, we will have to make y the subject to find the slope.

$2x-3y=19\\2x-3y-2x=19-2x\\-3y=-2x+19\\y=\frac{-2x+19}{-3} \\y=\frac{2}{3} x-\frac{19}{3}$

From here, we can see the slope of the line is $\frac{2}{3}$ .

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1 year ago

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If $500 were deposited into an account paying 5% interest, compound monthly, how much would be in the account in 4 years?

sashaice [31]

Answer:

610.48

Step-by-step explanation:

The formula for compound interest is

A = P(1+r/n) ^nt where

A is the amount in the account

P is the principle

r is the interest rate

n is the number of times the interest is compounded per year

t is the time in years

A = 500(1+.05/12) ^12*4

A = 500(1+.0041666666) ^48

A = 500(1.0041666666) ^48

A = 500*1.220895355

A =610.4476775

Rounding to the nearest cent

A = 610.48

4 0

2 years ago