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2 years ago

Solve for x 4.5 (8 - x) + 36 = 102 - 2.5 (3x + 24)

Mathematics

1 answer:

CaHeK987 [17]2 years ago

4 0

Answer:

x = -10

Step-by-step explanation:

expand

simplify 36 - 4.5x + 36 to -4.5x + 72

simplify 102 - 7.5x - 60 to -7.5x + 42

add 7.5x to both sides

simplify -4.5x + 72 + 7.5x to 3x + 72

subtract 72 from both sides

simplify 42 - 72 to -30

divide both sides by 3

simplify 30/3 to 10

Answer: x = -10

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Which equations represent the line that is parallel to 3x – 4y = 7 and passes through the point (-4,-2)? Select two

seropon [69]

Answer:

4y = 3x + 4

3x-4y = -4 is correct

Step-by-step explanation:

This is what we do.

We first express the first equation in the form;

y = mx + c

where m represents the slope of the line

Thus we have;

4y = 3x -7

divide through by 4

y = 3/4x -7/4

Thus the slope here is the coefficient of x which is 3/4

Now, since the lines are parallel, it means that their slopes are equal

So the slope of the other line too is 3/4

We now use the point slope form to find the equation of this other line

Mathematically, that would be;

y-y1 = m(x-x1)

where (x1,y1) = (-4,-2)

Substituting this into the point slope equation, we have;

y-(-2) = 3/4(x-(-4))

y + 2 = 3/4(x + 4)

Cross multiply

4y + 8 = 3x + 12

4y = 3x + 12-8

4y = 3x + 4

5 0

3 years ago

the price of a technology stock was $9.53 yesterday. Today, the price rose to $9.66. Find the percentage increase. Round your an

galben [10]

So, 9.66 - 9.53 will then be 0.13, so if we take 9.66 to be the 100%, what is 0.13 off of it in percentage then?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
9.66&100\\
0.13&p
\end{array}\implies \cfrac{9.66}{0.13}=\cfrac{100}{p}\implies p=\cfrac{0.13\cdot 100}{9.66}$

6 0

2 years ago

X − 78 = −42<br>x = 78 − 42<br>x = −36

WITCHER [35]

Answer:

x= 36

(it is positive since 78 is larger than 42, everything else is correct)

Step-by-step explanation:

5 0

3 years ago

Consider the following ordered data. 6 9 9 10 11 11 12 13 14 (a) Find the low, Q1, median, Q3, and high. low Q1 median Q3 high (

IrinaVladis [17]

Answer:

Low Q1 Median Q3 High

6 9 11 12.5 14

The interquartile range = 3.5

Step-by-step explanation:

Given that:

Consider the following ordered data. 6 9 9 10 11 11 12 13 14

From the above dataset, the highest value = 14 and the lowest value = 6

The median is the middle number = 11

For Q1, i.e the median of the lower half

we have the ordered data = 6, 9, 9, 10

here , we have to values as the middle number , n order to determine the median, the mean will be the mean average of the two middle numbers.

i.e

median = $\dfrac{9+9}{2}$

median = $\dfrac{18}{2}$

median = 9

Q3, i.e median of the upper half

we have the ordered data = 11 12 13 14

The same use case is applicable here.

Median = $\dfrac{12+13}{2}$

Median = $\dfrac{25}{2}$

Median = 12.5

Low Q1 Median Q3 High

6 9 11 12.5 14

The interquartile range = Q3 - Q1

The interquartile range = 12.5 - 9

The interquartile range = 3.5

7 0

3 years ago

Please help me solve this! 20 points.

ohaa [14]

Answer:

Step-by-step explanation: 8*2x, 8*-14+13=4x-27

16x-112+13=4x-27

16x-99=4x-27

-4x -4x

12x-99=-27

+99 +99

12x = 72

/12 /12

x=6

8 0

2 years ago