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Andreyy89
3 years ago
5

What is the value of x in this equation

Mathematics
2 answers:
eduard3 years ago
7 0
The the first one the answer should be -4

For the second one the answer should be 3
Damm [24]3 years ago
5 0

Answer: Simplifying

4a + 3(a + 1) = 24

Reorder the terms:

4a + 3(1 + a) = 24

4a + (1 * 3 + a * 3) = 24

4a + (3 + 3a) = 24

Reorder the terms:

3 + 4a + 3a = 24

Combine like terms: 4a + 3a = 7a

3 + 7a = 24

Solving

3 + 7a = 24

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

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

3 + -3 + 7a = 24 + -3

Combine like terms: 3 + -3 = 0

0 + 7a = 24 + -3

7a = 24 + -3

Combine like terms: 24 + -3 = 21

7a = 21

Divide each side by '7'.

a = 3

Simplifying

a = 3

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Answer:

B= 15 adults tickets

C= 35 student tickets

Step-by-step explanation:

x+y=50

solve for y

y=50-x

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6 0
2 years ago
If LM = 5 and MN = 5 what is LN
Romashka [77]

Answer:

LN=10

Step-by-step explanation:

if LM = 5 and MN = 5 then LN=10

4 0
2 years ago
What is the value of the correlation coefficient r of the data set?
enyata [817]

The correct option will be:  C) 0.84

<u><em>Explanation</em></u>

Formula for Correlation coefficient :

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

<em>(Please refer to the attached image for the table )</em>

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84

So, the value of the correlation coefficient is 0.84

4 0
3 years ago
Read 2 more answers
Solve for x: 2x-4/5=x+4
shepuryov [24]

2x-4=5x+20

-3x=24

x=-8

3 0
3 years ago
Read 2 more answers
Which number is equivalent to 2^−5⋅ 3 ⋅ 2^2 ⋅ 3^3?<br><br> A. 648<br> B. 216<br> C. 81/8<br> D. 27/8
sesenic [268]

2^{-5} \cdot 3 \cdot 2^2 \cdot 3^3\\\\=2^{-5 +2} \cdot 3^{1+3}\\\\=2^{-3} \cdot 3^4\\\\=\dfrac{3^4}{2^3}\\\\=\dfrac{81}{8}\\\\\\\text{So, the answer is C.}

3 0
2 years ago
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