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ziro4ka [17]
4 years ago
8

Circle the step where the error has occurred. Explain why it is an error and what should have been done to solve the problem cor

rectly. (6 points)
Given
Step 1: Distribute | 2(10−13)+9=−34+60
Step 2: Combine like Terms |20−26+9=−34+60
Step 3: Subtraction Property of Equality | 20−17=−34+60
Step 4: Addition Property of Equality | −17=−34+40
Step 5:Division property of equality. | −51=40
=−51/40
Mathematics
1 answer:
NikAS [45]4 years ago
7 0

The did not combine like terms correctly.

Step SHOULD'VE went like this:

20-26=-6 & -34+60=26

-6+9=3

3=26

Divide!

3÷3=0 ⇒26÷3=8.6666.....

          or (rounded)

the answer would be 8.7

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2(x-5)=3(x+7) Show the process, please.
chubhunter [2.5K]

Answer:

-31

Step-by-step explanation:

(2×x) - (2×5) = (3×x) + (3×7)

2x-10 = 3x+21

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3 1/2 over 5 + 14/3 over 2
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\dfrac{3\frac{1}{2}}{5}+\dfrac{\frac{14}{3}}{2}=3\dfrac{1}{2}\cdot\dfrac{1}{5}+\dfrac{14}{3}\cdot\dfrac{1}{2}=\dfrac{3\cdot2+1}{2}\cdot\dfrac{1}{5}+\dfrac{7}{3}\cdot\dfrac{1}{1}\\\\=\dfrac{7}{2}\cdot\dfrac{1}{5}+\dfrac{7}{3}=\dfrac{7}{10}+\dfrac{7}{3}=\dfrac{7\cdot3}{10\cdot3}+\dfrac{7\cdot10}{3\cdot10}=\dfrac{21}{30}+\dfrac{70}{30}\\\\=\dfrac{91}{30}=3\dfrac{1}{30}

4 0
4 years ago
21-7y+3x-xy solve by factoring by grouping
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-(y-3)(x+7)

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3 years ago
What is the answer to 7 or 8???
Eddi Din [679]

Answer:

7. parallel:  k = 3

   perpendicular:  k = -4/3

8. $1300

Step-by-step explanation:

7.

Rewrite each equation as the slope-intercept form of a linear equation:

y = mx + b (where m is the slope and b is the y-intercept)

  8y = 12x + 6

⇒ y=\dfrac32x+\dfrac34

   4y = k(2x + 10)

⇒ 4y = 2kx + 10k

⇒ y = \dfrac12kx + \dfrac52k

If the graphs are parallel their slopes will be the same.

\implies \dfrac32=\dfrac12k

\implies k=3

If the graphs are perpendicular then the product of their slopes will be -1.

\implies \dfrac32 \times \dfrac12k=-1

\implies \dfrac12k=-\dfrac23

\implies k=-\dfrac43

8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).

Choose 2 ordered pairs from the table:  (10, 110) and (20, 195)

Let (x_1,y_1) = (10, 110)

Let (x_2,y_2) = (20, 195)

Use the slope formula to find the slope m:

\implies m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{195-110}{20-10}=\dfrac{17}{2}

Now use the point-slope form of linear equation:

\implies y-y_1=m(x-x_1)

\implies y-110=\dfrac{17}{2}(x-10)

\implies y=\dfrac{17}{2}x+25

Substitute x = 150 into the equation and solve for y:

\implies y=\dfrac{17}{2}(150)+25=1300

Therefore, the total cost of ordereing 150 mugs is $1300

5 0
2 years ago
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