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Butoxors [25]
3 years ago
7

A rectangular prism with length width and height has a volume of l w h what is the volume of a prism which has a base of 5 m by

3 m and a height of 4 m
Mathematics
1 answer:
Nady [450]3 years ago
4 0

v = l \: w \: h
v = 5 \times 3 \times 4
v = 15 \times 4
v = {60m}^{3}
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Construct a triangle ABC in which BC-8 cm, B = 45° and AB-AC-3.5cm​
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Step-by-step explanation:

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Factor the following equation below:<br><br> 2m^2+2m-12=0
m_a_m_a [10]
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A certain number of sixes and nines is added to give a sum of 126; if the number of sixes and nines is interchanged, the new sum
galina1969 [7]

Answer:

Original number of sixes = 6

Original number of nines = 10

Step-by-step explanation:

We are told in the question that:

A certain number of sixes and nines is added to give a sum of 126

Let us represent originally

the number of sixes = a

the number of nines = b

Hence:

6 × a + 9 × b = 126

6a + 9b = 126.....Equation 1

If the number of sixes and nines is interchanged, the new sum is 114.

For this second part, because it is interchanged,

Let us represent

the number of sixes = b

the number of nines = a

6 × b + 9 × a = 114

6b + 9a = 114.......Equation 2

9a + 6b = 114 .......Equation 2

6a + 9b = 126.....Equation 1

9a + 6b = 114 .......Equation 2

We solve using Elimination method

Multiply Equation 1 by the coefficient of a in Equation 2

Multiply Equation 2 by the coefficient of a in Equation 1

6a + 9b = 126.....Equation 1 × 9

9a + 6b = 114 .......Equation 2 × 6

54a + 81b = 1134 ........ Equation 3

54a + 36b = 684.........Equation 4

Subtract Equation 4 from Equation 3

= 45b = 450

divide both sides by b

45b/45 = 450/45

b = 10

Therefore, since the original the number of nines = b,

Original number of nines = 10

Also, to find the original number of sixes = a

We substitute 10 for b in Equation 1

6a + 9b = 126.....Equation 1

6a + 9 × 10 = 126

6a + 90 = 126

6a = 126 - 90

6a = 36

a = 36/6

a = 6

Therefore, the original number of sixes is 6

7 0
3 years ago
Cary sets up a checking account with an initial balance of $27,700, and the rent for her
jek_recluse [69]

Answer:

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Step-by-step explanation:

First, we need to find how much she paid the whole year. 27,700-x=7900. If we subtract 7900 from each side and add x to each side, we get 19,800=x. Therefore, she paid $19,800 in rent the whole year. Since there are 12 months in a year, and each month she paid the same, she paid $1,650 in rent each year, for 19800/12=1650

5 0
2 years ago
Select the correct word to describe the function. the equation y = startfraction 5 x cubed over 8 endfraction represents functio
balandron [24]

The functions and their descriptions are:

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<h3>How to describe the functions?</h3>

The functions are given as:

y = \frac{5x^3}{8}

y = 6 + 0.25\ln(x)

y = \frac{18}{1 + 6e^{-0.25x}}

y = 5x^3 + 8

The functions would be described based on the type of function they represent.

Functions that use the "ln" keyword are logarithmic functions, while functions that use the "e" keyword are exponential functions.

Read more about functions at:

brainly.com/question/4025726

#SPJ1

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2 years ago
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