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mojhsa [17]
3 years ago
10

Determine the number of solutions of this equation. Show your work and explain your reasoning.

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
6 0
Given the equation, 7x + 5 = 2(4x + 3):

Distribute 2 into the terms inside the parenthesis:

7x + 5 = 2(4x + 3)
7x + 5 = 8x + 6

Subtract 5 from both sides:

7x + 5 - 5 = 8x + 6 - 5

7x = 8x + 1

Then, subtract 8x from both sides:

7x - 8x = 8x + 1 - 8x

- x = 1

Finally, divide both sides by -1 to solve for x:

-x / -1 = 1 / -1

x = -1

Therefore, the solution to the given equation is -1.
adell [148]3 years ago
5 0

Answer:

7x+5 =8x+6

x=-1

do you work kid

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There are 24 students in the class. They had the choice to buy supplies from two different stores, Store A and B. Each of them b
NeX [460]

Answer:

Step-by-step explanation:

There's 24 students so I would do 5 × 24 which equals 120 so 420 - 120 is 300. Then 2 × 24 is 48. Now 300-48 is 252. They would have $252 left.

3 0
2 years ago
Y&gt;x−4<br> y\ge -\frac{1}{2}x+5<br> y≥− <br> 2<br> 1<br> ​ <br> x+5
8_murik_8 [283]

ANSWER A

STEP BY STEP EXPLANATION

6 0
3 years ago
Find the equation of the line specified. The slope is -4, and it passes through ( 5, 8).
ollegr [7]

Answer:

B. y= -4x + 28

Step-by-step explanation:

To find the equation of this line first put it into slope-point form, y-y_{1} =m(x-x_{1}) where y_{1} and x_{1} are the y and x coordinates and m is the slope. So plug in the information to get the equation, y-8=-4(x-5). Then solve for y,

First, distribute the -4

y-8=-4x+20

Next, add 8 to both sides

y=-4x+28

4 0
3 years ago
Read 2 more answers
3x2 + 2(x2 – 20) = 16 - 2x2
lana66690 [7]

3x(2) + 2(2x - 20) = 16 - 2x(2)

6x + 4x - 40 = 16 - 4x

10x - 40 = 16 - 4x

14x - 40 = 16

14x = 56

x = 4

Hope this helps! ;)

8 0
3 years ago
A concrete mix is designed to withstand 3000 pounds per square inch​ (psi) of pressure. The following data represent the strengt
ss7ja [257]

Answer:

Mean = 3640

Mode = 4100

Median = 3830.

Step-by-step explanation:

We are given the following data in the question:

Strength of casts (in psi):

3970,4100,3100,3200,2950,3830,4100,4050,3460

Formula:

Mean = \displaystyle\frac{\text{Sum of all observation}}{\text{Total number of observations}}

\displaystyle\frac{3970+4100+3100+ 3200+ 2950+ 3830+4100+ 4050+ 3460}{9} = \displaystyle\frac{32760} {9} = 3640

Mode is the entry with most frequency. Thus, for the given sample mode = 4100.

Median

Since n = 9 is odd,

Formula:

Median = \displaystyle\frac{n+1}{2}th~term

Data in ascending order:

2950,3100,3200,3460,3830,3970,4050,4100,4100

Median = 5th term = 3830.

7 0
3 years ago
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