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Rzqust [24]
3 years ago
5

A box shaped like a rectangular prism has a height of 17 in and a volume of 2,720 in³ The length is 4 inches greater than twice

the width. What is the width of the box?
Mathematics
1 answer:
lord [1]3 years ago
3 0

The volume of a rectangular prism is v = LxWxH. We have the height, H = 17, L = 4+2W and w as is. Multiply them each

(4+2W)(W)(17) = 2720

34w2 + 68w = 2720

34w2+68w−2720=0

You want to solve for w. Divide the equation by 34 getting:

w2+2w−80=0

Then factor the equation, (w+10)(w-8)=0 w=8

<span>Then the weight is 8 inches</span>

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The base of a 13 foot ladder is 5 feet away from the wall. How far up the wall does the ladder reach?
frez [133]

let x be how far up the wall ladder reaches

by Pythagoras theorem

x^2+5^2=13^2

x^2 =(13^2)-(5^2)

x= square root of 144

x= 12 or x =-12(rej,x>0)

hence ladder reaches 12 foot up the wall

5 0
3 years ago
Read 2 more answers
What is the equation 3n+2=15
scoray [572]

Solution for 3n-2=15+3n equation:

Simplifying

3n + -2 = 15 + 3n

Reorder the terms:

-2 + 3n = 15 + 3n

Add '-3n' to each side of the equation.

-2 + 3n + -3n = 15 + 3n + -3n

Combine like terms: 3n + -3n = 0

-2 + 0 = 15 + 3n + -3n

-2 = 15 + 3n + -3n

Combine like terms: 3n + -3n = 0

-2 = 15 + 0

-2 = 15

Solving

-2 = 15

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

3 0
3 years ago
I need help now please, I can’t figure this out
otez555 [7]

Answer:

B. 1,4

Step-by-step explanation:

1. substitute 4x for y in the second equation since we know y=4x(to find x)

6x-4(4x)=-10

2.solve for x

6x-4(4x)=-10

-4•4x=-16x

6x-16x=-10

6x-16x=-10x

-10x=-10

-10x/-10=-10/-10

x=1

3.substitute 1 for x in either equation(since x=1)to find y

y=4(1)

y=4

x,y=1,4

hope this helps!

3 0
3 years ago
What is 70,030,000 in scientific notation
serious [3.7K]
The scientific notation of 70, 030, 000. To find the scientific notation of this value <span><span>
1.  </span>We first move the period which separates the whole number from the decimal number which is located after the numbers of the given value.</span>
<span><span>2.  </span>We move it in the very recent order number which is seventy million, seven and zero.</span> <span><span>
3.  </span>It becomes 7.003</span>
<span><span>4.  </span>Thus we count how many moves we did from the tens to the ten million order place.</span> <span><span>
5.  </span>7.003 x 10^7 </span>



7 0
4 years ago
Rewrite the rational expression as an equivalent rational expression so that all expressions have a common denominator. 3/5,9/10
ivanzaharov [21]

Answer:

126/210, 189/210, 98/210, 70/210

Step-by-step explanation:

find the lowest common multiple

of 5,10,15 and 21=210

42*3, 21*9, 14*7, 10*7

126/210, 189/210, 98/210, 70/210

7 0
3 years ago
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