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Lady_Fox [76]
3 years ago
15

Solve and check the following equation -15=5(3q-10)-5q

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
8 0

Answer:

 q = 7/2 = 3.500

Step-by-step explanation:

   

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*(3*q-10)-5*q-(-15)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (5 • (3q - 10) -  5q) -  -15  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  10q - 35  =   5 • (2q - 7)

Equation at the end of step  3  :

 5 • (2q - 7)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    2q-7 = 0

Add  7  to both sides of the equation :

                     2q = 7

Divide both sides of the equation by 2:

                    q = 7/2 = 3.500

iren [92.7K]3 years ago
3 0

Answer:

The value of the equation is q=3.5.

Step-by-step explanation:

Consider the provide equation.

-15=5(3q-10)-5q

Open the parentheses

-15=15q-50-5q

Subtract the like terms.

-15=10q-50

Add 50 to the both sides.

-15+50=10q-50+50

35=10q

Divide both sides by 10.

q=3.5

Check.

Substitute q=3.5 in -15=5(3q-10)-5q

-15=5(3(3.5)-10)-5(3.5)

-15=5(10.5-10)-17.5

-15=5(0.5)-17.5

-15=2.5-17.5

-15=-15

Which is true.

Hence, the value of the equation is q=3.5

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What is 12 3/5 divided 2 1/10?
raketka [301]

Answer:

The answer is six

Step-by-step explanation:

12 3/5 = 63/5

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63/5 divided by 21/10 is equal to 63/5 multiplied by 10/21 which is equal to 630/105 = 6 <-- answer

7 0
2 years ago
PLZ HELP! 20 POINTS!!
ivann1987 [24]
Given list of values
A = {23, 34, 19, 10, 9, 20, 40, 43, 28, 29, 36, 13, 27, 23, 36, 37, 7}

Sort list A to get list B
B = {7, 9, 10, 13, 19, 20, 23, 23, 27, 28, 29, 34, 36, 36, 37, 40, 43}

The smallest value is 7, so the min is 7
The largest value is 43, so the max is 43

Look through list B to find the middle-most value. What you can do is cross off each pair of outer values (see figure 1 in the attached images) until you are left with the middle value
Or you can note how there are 17 values so the median is at slot 9 (there are 8 values below the median; 8 values above the median; the 8 is from 17/2 = 8.5)

Once you know the median is 27, we split the list B into two parts
The first part, we'll call it L for lower half is
L = {7, 9, 10, 13, 19, 20, 23, 23}
which is the list of all values lower or smaller than the median.
The median of list L is 16 because its the midway point between 13 and 19. We can compute (13+19)/2 = 32/2 = 16. This is the value of Q1

The upper half U is
U = {28, 29, 34, 36, 36, 37, 40, 43}
this list shows all the values larger than the median.
The value of Q3 is 36. We find the midpoint of 36 and 36 which is just 36.
The value of Q3 is the same as the median of list U

------------------------------------------------

Five Number Summary:
Min = 7
Q1 = 16
Median = 27
Q3 = 36
Max = 43

This five number summary is then used to construct the box-and-whisker plot. See figure 2 in the attached images. The diagram shows how each piece of the boxplot is put together (eg: the left edge of the box is the value of Q1). 

5 0
2 years ago
Simplify 7^6 x 7^5<br><br> Please help meh
Alecsey [184]

Answer:

<em>134456</em>

Step-by-step explanation:

7^{6} = 7 · 7 · 7 · 7 · 7 · 7

Therefore, 7^{6} = 117,649

7^{5} = 7 · 7 · 7 · 7 · 7

Therefore, 7^{5} = 16,807

So, 7^{6} + 7^{5} = <em>134456</em>

5 0
2 years ago
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