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Shtirlitz [24]
3 years ago
13

Find r if 3(r - 7) = 4(2 - 2r) + 4

Mathematics
2 answers:
Arturiano [62]3 years ago
4 0

Answer:

r=3

Step-by-step explanation:

3(r - 7) = 4(2 - 2r) + 4

Distribute

3r -21 = 8 -8r +4

Combine like terms

3r -21 = 12 -8r

Add 8r to each side

3r +8r-21 = 12 -8r+8r

11r -21 = 12

Add 21 to each side

11r -21+21 =12+21

11r = 33

Divide each side by 11

11r/11 = 33/11

r = 3

irina [24]3 years ago
3 0

Answer:

Step-by-step explanation:

3(r - 7) = 4(2 - 2r) + 4

3r+(-21)=8+(-8r)+4

-21+8+4=3r+(-8r)

-9=-5r

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12 x (3 + 2 to the second power) divied by 2 - 10
alexira [117]

Answer:

<h2><u><em>32</em></u></h2>

Step-by-step explanation:

Assuming that the question is:

12 * (3 + 2^2) : 2 - 10 =       remember PEMDAS

12 * (3 + 4) : 2 - 10 =

12 * 7 : 2 - 10 =

84 : 2 - 10 =

42 - 10 =

<u><em>32</em></u>

3 0
2 years ago
Read 2 more answers
Which of the following best describes the slope of the line below? A. Zero B. Undefined C. Positive D. Negative
nadya68 [22]

Answer:

D. negative

Step-by-step explanation:

Let's analyze each answer choice.

A. Zero

A line with a zero slope is a horizontal line. The x values change, but the y values stay the same.

B. Undefined

A line with an undefined slope is a vertical line. The x values don't change and the y values vary.

C. Positive

When a line has a positive slope, the line increases from left to right.

D. Negative

When a line has a negative slope, the line decreases from left to right.

When we move from left to right on the graph, the line moves down. Therefore, this line must have a negative slope and D is correct.

7 0
3 years ago
Equation of a circle whose center is at (4,0) and radius is length 2/3
Masteriza [31]
We need (x-h)^2 + (y-k)^2 = r^2

h = 4, k = 0 and r = 2/3

Take it from here.
5 0
3 years ago
The two dot plots show the number of miles ran by 14 students at the beginning and at the end of the school year compare each me
Naddika [18.5K]

The two dot plots are missing, so i have attached it.

Answer:

The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles

Step-by-step explanation:

From the attached image, we are told to compare the means for each plot to the nearest tenth.

Mean = Σx/n

Now, from the image, total number of miles run by the 14 students at the beginning of the school year is;

(1 × 7) + (2 × 8) + (4 × 9) + (4 × 10) + (2 × 11) + (1 × 12) = 133

Mean of miles run at the beginning of the school year = 133/14 = 9.5 miles

Again, from the table, total miles run at the end of the school year = (2 × 8) + (2 × 9) + (4 × 10) + (3 × 11) + (3 × 12) = 143

Mean of miles run at the end of the school year = 143/14 = 10.2 miles

Thus;

The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles

5 0
3 years ago
Aaron ate 5/6 of his sandwich at lunch. Colin ate 2/3 of his sandwich. did the two boys eat the same amount? Explain
Nady [450]
No. Aaron ate more because 5/6 is a larger fraction than 2/3.
7 0
3 years ago
Read 2 more answers
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