Find two whole numbers whose sum is 60 and whose difference is 12

Answers

Answer 1

Answer: $\left \{ {\big{x+y=60} \atop \big{x-y=12}} \right. \n--------\nx+x=60+12\n2x=72\ /:2\nx=36\n\nx+y=60\ \ \ \Rightarrow\ \ \ y=60-x\ \ \ \Rightarrow\ \ \ y=60-36=24\n\nAns.\ the\ numbers:\ 36\ \ and\ \ 24$

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What is the simplified expression for 2(x - 5)?
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The first term of an AP is 5, common difference is 3 and the last term is 80. Find the number of terms.
Jessica has -$15 dollars in her bank account. Jonathan has less money than Jessica in his bank account. Which value could represent the amount of money in Jonathan’s bank account?

Find all the real cube roots of 0.000027

Answers

The answer to your question is 0.03

Martha Owens is paid $14.50per hour for a regular forty-hour work
week. Her overtime pay is one-and-one-
half times her regular hourly rate. This
past week Martha earned S754.00 in total
рау. .
How many hours of overtime did
Martha work this pas week?

Answers

Martha worked approximately 8 hours of overtime during the past week.

Martha's regular hourly rate is $14.50, and she works a regular forty-hour work week. Her overtime pay is one-and-one-half times her regular hourly rate.

Let's break down Martha's earnings for the week:

Regular Earnings (for 40 hours): Regular Hourly Rate × Hours Worked

Regular Earnings = $14.50 × 40 = $580

Total Earnings (including overtime): $754

Overtime Earnings = Total Earnings - Regular Earnings

Overtime Earnings = $754 - $580 = $174

Since Martha's overtime pay is one-and-one-half times her regular hourly rate, we can set up an equation:

Overtime Earnings = Overtime Hourly Rate × Hours of Overtime Worked

Solving for Hours of Overtime Worked:

Hours of Overtime Worked = Overtime Earnings / Overtime Hourly Rate

Overtime Hourly Rate = 1.5 × Regular Hourly Rate

Overtime Hourly Rate = 1.5 × $14.50 = $21.75

Now, plug in the values:

Hours of Overtime Worked = $174 / $21.75 ≈ 8

Martha worked approximately 8 hours of overtime during the past week.

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Answer:

Step-by-step explanation:

14.50*40=580 for reg pay

754-580=174 over time

14.50*1.5=21.75 an hour for ot

174/21.75=8 hours of overtime

Latasha scored 4 goals in a 6-game tournament at the start of the soccer season. Her team plays 21 games during the season. If she scores goals throughout the season at the same rate she did during the tournament, how many goals will she score this season?

Answers

To answer this I believe you have to use cross-multiplication. If she scores 4 goals in 6 games, how many would she score in 21 games? We can set up the equation 4/6 = x/21. This implies that both sides are equal, hence the same rate of scoring. Now all that's left is to solve for x. You have to cross-multiply, so 4 times 21 = 84, and 6 times x = 6x. Now the equation looks like 84 = 6x. Now divide by 6 on both sides to solve for x. 84 divided by 6 = 14. So Latasha scored 14 goals in the season.

Find the length of the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches. Use 3.14 for pi and round your answer to the nearest hundredth.A. 4 inches
B. 8 inches
C. 16 inches
D. 24 inches

Answers

h=6
V=128
a=√(3(V/h))a=8
base length = 8

The problem ask to find and calculate the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches. Base on that data, I came up with a solution that leads to my answer and the answer among the choices is letter B. 8 inches

Given: 3x < -6. Choose the solution set.

{x | x < -2}
{x | x > -2}
{x | x < 2}
{x | x > 2}

Answers

$3x\ \textless \ -6 :$

Divide both sides by 3 :

$(3x)/(3) = (-6)/(3)$

$x\ \textless \ -2$

Answer A

{x | x < -2}

hope this helps!

Solve-picture question

Answers

The answer is 1/3. Basically start at A, you go up one. Then count over to B and it's 3 spaces over, so you get 1/3.

it's D 1/3 cause your going up 1 and over 3 so that should give you a positive cause the line is going up instead of down . now on the other hand if the line was going down it would me -1/3 cause went down one and over negative three, but in ur case it's ↓

D.) 1/3

-Hope this helped you im 100% sure this is right . :)

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