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lana [24]
4 years ago
13

If 3 times a certain number is increased by 4 the result is 28. What is the number?

Mathematics
1 answer:
k0ka [10]4 years ago
8 0

x = number

the equation to use is: 3x+4=28


3x+4=28

3x=24

x-24/3 =8

x=8


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Only the a) part please!!!!
choli [55]

(i)\\\\2A = \begin{pmatrix}3x \times 2  & 1 \times 2 & 5 \times 2\\0\times 2 & 2x \times 2 & -3 \times 2\end{pmatrix} = \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix}\\\\\\(ii)\\\\2A + B = C\\\\\implies  \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix} + \begin{pmatrix}y & 0 & -4\\1 & -3y & 2\end{pmatrix} = \begin{pmatrix}31& 2 & 6\\1 & 17& -4\end{pmatrix}

\implies \begin{pmatrix}6x+y & 2+0 & 10-4\\0+1 & 4x-3y & -6+2\end{pmatrix} =  \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\\\implies \begin{pmatrix}6x+y & 2 & 6\\1 & 4x-3y & -4\end{pmatrix} =  \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\text{System of equations},\\\\6x +y =31,~~ 4x -3y = 17\\\\\\(iii)\\\\6x +y-31 =0 \\\\4x-3y -17=0\\\\\text{Solving by cross multiplication method}\\\\\\\dfrac x{1(-17) - (-31)(-3)} = \dfrac y{4(-31) - 6(-17)} = \dfrac 1{6(-3) - 4(1)}

\implies \dfrac{x}{-17 -93}  = \dfrac{y}{-124 +102} = \dfrac 1{-18-4}\\\\\\\implies -\dfrac{x}{110} = -\dfrac{y}{22} = -\dfrac 1{22}\\\\ \implies \dfrac{x}{110} = \dfrac{y}{22} = \dfrac 1{22}\\\ \\\text{Hence,}\\\\\\x=\dfrac{110}{22}=5,~~~~ y= \dfrac{22}{22} =1

7 0
2 years ago
Read 2 more answers
I really need help! :)
kirill115 [55]
Answer: 153.86 ft. squared
6 0
3 years ago
A landscaper is planting a row of 10 shrubs along the walkway shown below. There must be one shrub at the very beginning and one
rewona [7]

Answer:

9d = 36

Step-by-step explanation:

See attachment for complete question

Length = 36ft

n = 10

From the question, we understand that one shrub must be at both ends.

Taking the first as a point of reference, we're left with:

(n - 1) * distance = 36

Substitute 10 for n and d for distance

(10 - 1) * d = 36

9 * d = 36

9d = 36

Hence:

9d = 36 answers the question

4 0
4 years ago
The radius is 10 units, and each layer is one unit high. What is the volume of the cylinder in cubed units?​
alexandr1967 [171]

Answer:

Volume of cylinder is 6285.71 square units.

Step-by-step explanation:

Given the radius of cylinder 10 units. The height is twice its radius. we have to find its volume.

r=10 units

⇒ Diameter, d = 20 units

Also given height is twice its radius.

⇒ Height=2(r)=2(10)=20 units

<h2><em><u>Volume of cylinder=πr^2h</u></em></h2>

= 22/7 × 100×20

=22/7 × 2000

= 44000/7

= 6285.71square units.

hence, volume of cylinder is 6285.71 square units.

6 0
2 years ago
Read 2 more answers
Suppose you were looking at the histogram of the incomes of all of the households in the United States. Do you think that the hi
seraphim [82]

Answer:

The histogram is right-skewed.

Step-by-step explanation:

The income of all households in the United States can be categorized as low, medium and high.

Not many people earn a high income. So the proportions of people decreases as the income increases.

Most of the people earn a medium income. So the mode of the data would be somewhere in the start of the the distribution.

There are many households that earn a low income. But this proportion is not more than the proportion of people earning low income.

So the histogram for income distribution will have a long right tail with maximum data at the starting point.

This implies that the histogram is right-skewed.

8 0
3 years ago
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