1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Afina-wow [57]
2 years ago
10

7+4(r+3)=9r-6 show work pls AND HELP ASAP

Mathematics
1 answer:
ivanzaharov [21]2 years ago
7 0

\:  \:  \:  \:  \:  \:

=  \:  \:  \:  \: r = 5

Step-by-step explanation:

7 + 4(r + 3) = 9r - 6

  • <em><u>distribute</u></em><em><u> </u></em>4 through the parentheses

7 + 4r + 12 = 9r - 6

  • add numbers

19 + 4r = 9r - 6

  • move the <em><u>variable</u></em><u> </u>to the left hand side and change its sign

19 + 9r =  - 6

  • move the <em><u>constant </u></em>to the right hand side and change its sign

4r - 9 =  - 6 - 19

  • collect<em><u> like</u></em><em><u> terms</u></em>

<em><u>- 5r =  - 6 - 19</u></em>

  • calculate the difference

- 5r =  - 25

  • divide both sides of the equation by <em>-</em><em>5</em>

<em>=  \:  \:  \:  \: r = 5</em>

<h2><em><u>hope</u></em><em><u> it</u></em><em><u> helps</u></em></h2>
You might be interested in
Which set of ordered pairs could represent a function? (2, 3), (2, 2), (2, 4), (2, 9), (2, –2) (1, 5), (2, 6), (1, 6), (4, 5), (
Ratling [72]

Given:

The set of ordered pairs in the options:

(a) (2, 3), (2, 2), (2, 4), (2, 9), (2, –2)

(b) (1, 5), (2, 6), (1, 6), (4, 5), (1, 4)

(c) (1, 0), (2, 0), (1, 3), (4, 3), (5, 7)

(d) (5, 1), (7, 3), (9, 5), (11, 7), (13, 9)

To find:

The set of ordered pairs that could represent a function.

Solution:

A set of ordered pairs represent a function, if there exist unique output (y-value) for each input (x-value).

In option (a) we have, five output values y=3,2,4,9,-2 for single input x=2. So, it is not a function.

In option (b) we have, three output values y=5,6,4 for single input x=1. So, it is not a function.

In option (c) we have, two output values y=0,3 for single input x=1. So, it is not a function.

In option (d), all inputs has unique output.

Therefore, the correct option is (d).

4 0
2 years ago
Read 2 more answers
A 30 feet ladder is leaning against the wall. The top of the ladder is resting 25 feet on the building. How far is the base of t
g100num [7]

Answer:

16.58 feet

Step-by-step explanation:

a² + b² = c²

Think of this as a right triangle

The hypotenuse is 30, and one of the legs is 25

To find the other leg, subtract the square of the hypotenuse by the square of the given leg

30² - 25² = leg

900 - 625 = 275

Square root the answer to find the length of the missing leg

√275 = 16.583123951777

The leg is 16.58 ft.

6 0
2 years ago
What is the product One-fifth times 2? Use the visual model to answer the question.
crimeas [40]

Answer:

The answer is Two-fifths

5 0
2 years ago
If you run for 0.4 hours at 7 mph, how fast should you walk during the next 0.8 hours to have the average speed of 5 mph?
Fantom [35]

Answer:

4 mph

Step-by-step explanation:

The average speed of an object is given by the total distance covered by the time taken:

v=\frac{d}{t}

where

d is the total distance covered

t is the time taken

in the first part, the person runs for 0.4 hours at a speed of 7 mph, so the distance covered in the 1st part is

d_1 = v_1 t_1 = (7)(0.4)=2.8 mi

Then the distance covered in the second part is d_2, so the total distance is

d=2.8+d_2 (1)

The total time elapsed is 0.4 hours (first part) + 0.8 hours (second part), so

t=0.4+0.8=1.2 h

So we can write the average speed as

v=\frac{2.8+d_2}{1.2} (1)

We want the average speed to be 5 mph,

v = 5 mph

Therefore we can rearrange eq.(1) to find d2:

d_2 = 1.2v-2.8 = (1.2)(5)-2.8=3.2 mi

And therefore, the speed in the second part must be

v_2=\frac{d_2}{t_2}=\frac{3.2}{0.8}=4 mph

4 0
2 years ago
Question on picture. Please help
Elden [556K]
A rhombus is quadrilateral where all 4 sides are of equal length. Thus


5x + 2 = 2x + 12

3x = 10

x = 10/3

substituting x into either expression, yields

56/3

therefore side AB = 56/3


3 0
3 years ago
Other questions:
  • Explain how you you can tell 4/9 is in the simplest form
    15·2 answers
  • The bases of a trapezoid are 16.8 yards and 6.9 yards. what is the average of the two bases?
    15·2 answers
  • Please answer this question only if you know it!
    5·1 answer
  • A solution's temperature increased 11.3°C in 5 minutes. What was the average temperature increase per minute? Answer: _______ °C
    6·1 answer
  • A number cube was rolled as part of an experiment. The results are shown in the table. Explain how to find the experimental prob
    11·2 answers
  • Unit 4 homework 1 slope
    14·1 answer
  • What is the slope of the line on the graph?<br><br> Enter your answer in the box.
    11·2 answers
  • Steve works two different jobs for a total of 60 hours every Monday through Friday schedule is the same each day and he works th
    14·1 answer
  • Factor the expression 40x-80y+40z
    14·1 answer
  • Which fraction is equal to 5/10
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!