Mathematics Middle School

ST=x+3 and TU=4x-6 what is the value of ST and SU

I know ST=6 and SU=12, but I'm not sure how to do the problem, can someone explain?

(S, T, and U are all on the same line)

Answers

Answer 1

Answer:

ST= 6 unit and SU = 12 unit

Step-by-step explanation:

Here, S, T, and U are all on the same line,

Also, T is between S and U,

Such that ST = TU

Here, ST = x+3 and TU = 4x-6,

⇒ x + 3 = 4x - 6

Subtracting 3 on both sides,

⇒ x = 4x - 9

Subtracting 4x on both sides,

⇒ -3x = -9

Divide both sides by -3,

⇒ x = 3

Hence, ST = 3 + 3 = 6,

And, SU = ST + TU = ST + ST = 2 ST = 2(6) = 12

Answer 2

This situation is described by the image below, where we can see that:

Points S, T, and U are colinear points.

Point T is the midpoint of the segment SU.

This means that:

ST = TU

We also know that:

ST = x + 3

TU = 4x - 6

Then we can write:

ST = x + 3 = 4x - 6 = TU

x + 3 = 4x - 6

3 + 6 = 4x - x

9 = 3x

9/3 = x = 3

Now that we know the value of x we can replace it in the equations of ST and TU

ST = x + 3 = 3 + 3 = 6

TU = 4x - 6 = 4×3 - 6 = 6

And T is a point between S and U, this means that:

SU = ST + TU = 6 + 6 = 12

SU = 12

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ST=x+3 And TU=4x-6 What Is The Value Of ST And SU I Know ST=6 And SU=12, But I'm Not Sure How To Do The

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Hope This Helps!
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Margo spends 0.25 of her paycheck on a new dress, 1/8 of her paycheck on shoes, and $24 on a birthday present. If she spent $60 altogether, how much was Margo’s paycheck?

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It will be 84 dollars

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Step-by-step explanation:

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2. Draw a slight arch going up from the right edge of the left circle to the left edge of the right circle.
3. Draw a diagonal line out from the left edge of the left circle. This line should go up.
4. Draw a diagonal line out from the right edge of the right circle so that it is parallel to the line just drawn from the left circle.
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You can use the latitude to find the tropic of Cancer.

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Step-by-step explanation:

if a soccer team won 7 of its 13 games, what was their ratio of wins to losses? Assume that there were no tie games.

Answers

There were 13 games.
7 were wins.
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6 were losses.
The ratio of wins to losses is 7:6.

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A: 138.6 sq ft
B: 88.2 sq ft
C: 94.2 sq ft
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Answers

Your answer will be B. Do u know to get it.
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Answers

Final answer:

To write a situation for the inequality 15x - 20 ≤ 130 and solve it, let's assume that x represents the number of hours a student can study. The solution to the inequality is x ≤ 10, meaning the student needs to study for 10 hours or less to complete the required amount of work.

Explanation:

To write a situation for the inequality 15x - 20 ≤ 130, let's assume that x represents the number of hours a student can study. In this situation, the left-hand side of the inequality represents the amount of work the student has already completed (15x - 20) and the right-hand side represents the total amount of work the student needs to complete (130). The inequality states that the amount of work completed should be less than or equal to the total amount of work required. To solve the inequality, we can follow these steps:

Add 20 to both sides of the inequality: 15x - 20 + 20 ≤ 130 + 20, which simplifies to 15x ≤ 150.Divide both sides by 15 to isolate the variable x: 15x/15 ≤ 150/15, which simplifies to x ≤ 10.

Therefore, the solution to the inequality is x ≤ 10. This means that the student needs to study for 10 hours or less in order to complete the required amount of work.

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Answers

The answer is 1447.8 millimeters

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How to convert Inches to millimeters?

The methodology to convert inches to mm is relatively simple. To convert inches to millimeters, you must multiply the unit by 25.4.

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We need to multiply 57 by 25.4.

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Amy is in a craft store looking at packages of Pom-poms. Amy sees packages of four red pom-poms. Amy says she can buy seven packages of four pom-poms or four packages of seven pom-poms because she will get the same total of pom-poms. Is Amy correct? Show all mathematical thinking.

Answers

First, let's calculate the number of pom poms she get if she buys 7 packages of 4.
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Final answer:

Amy is incorrect because both options will give her the same total number of pom-poms.

Explanation:

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Answers

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Answer:

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Step-by-step explanation:

We have been given that the original cost of a lamp is $18.95 . The lamp is on sale for 75% off.

The cost of lamp after sale would be 25% (100-75) of $18.95.

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[tex]\text{The cost of lamp after sale}=\$18.95\times 0.25[/tex]

[tex]\text{The cost of lamp after sale}=\$4.7375[/tex]

[tex]\text{The cost of lamp after sale}\approx \$4.74[/tex]

Therefore, you will have to pay $4.74 for the lamp.

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Answers

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Answer:

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Step-by-step explanation:

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Explanation:

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Answers

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Answers

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Answers

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Answers

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Answers

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PLEASE HELP ME ASAP!

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Answers

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If this is correct can you rate me

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Hi there!
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