MATHEMATICS MIDDLE SCHOOL

Andrew solved the following inequality, and his work is shown below:−4(x + 8) + 25 ≤ −2 + 1(x − 50)
−4x − 32 + 25 ≤ −2 + 1x − 50
−4x − 7 ≤ 1x − 52
−5x ≤ −45
x ≤9

What mistake did Andrew make in solving the inequality?

Answers

Answer 1

Answer:

For this case we observe that we have the following inequality:

-4 (x + 8) + 25 ≤ -2 + 1 (x - 50)

The first step is the distributive property on both sides of the inequality:

-4x - 32 + 25 ≤ -2 + 1x - 50

This step is written correctly.

The second step is to add similar terms:

-4x - 7 ≤ 1x - 52

This step is written correctly.

The third step is to pass the number 7 adding on the right side of the inequality:

-5x ≤ -45

This step is written correctly.

The last step is to divide between 5 both sides of the inequality. Then, multiply by -1. When multiplied by -1, the direction of the inequality changes:

x ≤9

This step is written incorrectly.

Answer:

Andrew did not change the symbol of the inequality in the last step.

Answer 2

Answer: (B) when dividing by -5, he did not change the < to >

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What is 10.04 rounded to nearest tenth?

Answers

The next larger tenth is 10.1 .
The next smaller tenth is 10.0 .

10.04 is nearer to 10.0 than it is to 10.1 .

So the nearest tenth is 10.0 .

7.2x = - 14.4..........................

Answers

Answer:

x = -2

Step-by-step explanation:

Step 1: Write equation

7.2x = -14.4

Step 2: Divide both sides by 7.2

x = -2

Step 3: Check

Plug in x to verify it's a solution.

7.2(-2) = -14.4

-14.4 = -14.4

Answer:

x = -2

Step-by-step explanation:

WILL GIVE BRAINLIEST!!!! $log_(2)$ ( $x^(2)$ -5x)= $log_(2)$ (6x+12)2 is the base in both logs
$x^(2)$ -5x is the argument in the first log
6x+12 is the argument in second log

FIND THE DOMAIN AND THE SOLUTION TO X

Answers

Ps: just starting on algebra, so might not be right.

Find the domain by finding where the equation is defined.

Interval Notation:

(−2,0)∪(5,∞)

Set-Builder Notation:

{x|−2<x<0,x>5}

Solve for x

For two functions to be equal, the arguments of each must be equal.

x=12,−1

I hope this isn't wrong and if it is, sorry...

12. Shreyas orders a pizza for himself and eats 5/8 of the entire pizza. The next day he eats 1/3 of the remaining pizza as a snack after school. b) If the entire pizza contained 2500 calories, how many calories did Shreyas consume on the first day?

Answers

Answer:

1562.5 calories

Step-by-step explanation:

Shreyas ate $(5)/(8)$ of the entire pizza on the first day.

Entire pizza contained calories = 2,500

Therefore, Shreyas consumed calories on the first day = $(5)/(8)$ of 2500

= $(5)/(8)$ × 2500

= 0.625 × 2500

= 1,562.5 calories

Shreyas consumed 1,562.5 calories on the first day.

Answer:

1562.5

Step-by-step explanation: 2500 divided by 8 times 5

When multiplying exponents, what do you do when both the exponent and the base are different?

Answers

Oh wait now i know what you mean, when you see the exponent you multiply the base by the same number that it is by the exponent.
Example:
10(8)
10*10*10*10*10*10*10*10 You multiply 10 by its self 8 times. Hope this helps! :D

What is 100% divided by 7