Mathematics Middle School

Solve the equation for x. Check the solution.

2. -5(x + 3) = 20

Answers

Answer 1

Answer:

x = -7

Step-by-step explanation:

-5( x + 3 ) = 20

Distributive property ( multiply whatever is in the parenthesis by -5)

-5 * x + -5 * 3 = 20

-5x - 15 = 20

Add 15 on both sides

-5x - 15 + 15 = 20 + 15

-5x = 35

Divide by -5 on both sides to isolate the variable

-5x/-5 = 35/-5

x = -7

Check...

Substitute the "x" with -7 since we already got that as our solution

-5( x + 3 ) = 20

-5( -7 + 3 ) = 20

Distributive property

-5 * -7 + -5 * 3 = 20

35 - 15 = 20

20 = 20 CORRECT

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer 2

Answer:

You're answer is above along with the work :)

Step-by-step explanation:

Hope i helped

Solve The Equation For X. Check The Solution. 2. -5(x + 3) = 20

Related Questions

Find each probability.

Answers

Answer:

5,9

Step-by-step explanation:

I think row A would be 5 and B would be 9 im sorry if im wrong

It’s just 5 and 9–

5 on top 9 on bottom

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)

Answers

Robin will need to wash her car 4 times to have spent the same amount at both car washes. I hope this helps!

It will be 35 dollars

100 POINTS MATHAMATICS PLEASE ANSWER ASAP
look in image and answer ALL 4 PROBLEMS

Answers

1. The longest pencil is 8 inches and the shortest pencil is 2 inches. Therefore, the difference between the length of the longest pencil and the shortest pencil is 8 - 2 = 6 inches.

2. Pencils measuring less than 5 inches: 3 + 2 + 3 = 8 inches in total.

3. False. To determine if more than half of the pencils are 6 inches or shorter, we need to find the total number of pencils and calculate how many of them are 6 inches or shorter.

Total number of pencils = 4 + 3 + 2 + 3 + 7 + 8 = 27

Number of pencils that are 6 inches or shorter = 4 + 3 + 2 + 3 = 12

To find out if more than half of the pencils are 6 inches or shorter, we need to divide the number of pencils that are 6 inches or shorter by the total number of pencils and multiply by 100%:

12/27 x 100% = 44.44%

Since 44.44% is less than 50%, the statement is false.

4. There are three pencils that measure more than 5.5 inches but less than 7.5 inches: 6, 6, and 7. Therefore, the answer is 3 pencils.

(Make sure you look over this and if you have any questions about this comment before you submit make sure this seems right to you and if you understand this or not)

1. Would be the number 6
2. Would be the number 8
3. Would be false
4. Would be the number 3

Hill
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LC33011
Question 13 of 34 ✓
Question 15
Identify the ordered pair that nameş point A.
-2
D
C
-1
2
Next Question
1
O
-1
-2
y
A
1
O A) (0.5, -1.5)
O B) (-1.5, 0.5)
O c) (-0.5, -1.5)
OD) (0.5, 1.5)

Answers

The point of a is 34 because 5 x 5 = 25

. please help me! and provide a CLEAR step by step explanation! tysm!
also giving out brain to good explanations and first answer correct

Answers

Answer:

182.25

Step-by-step explanation:

Consider the expression 4x^2+x+34x
2
+x+34, x, squared, plus, x, plus, 3.
Complete 222 descriptions of the parts of the expression.
The entire expression is a sum with

.
The coefficients are

.

Answers

Answer: 72x^2+3x+3

Step-by-step explanation:

Consider the expression 4x^2+x+34x 2 +x+34, x, squared, plus, x, plus, 3.Complete 222 descriptions of

Answer:

72x^2+3x+3

Step-by-step explanation:

Forty percent of Mrs. Garcia's score is 400 points. What is Mrs. Garcia's score?
A. .40 x = 400
B .40 = 400 x
C. 40/400 = x
D. 40 x = 400

Answers

Answer: The answer is A

Step-by-step explanation: 0.40 times 1000 is 400 and 40 percent of 1000 is 400

A. 40x=400 would be the correct answer

The first rule is multiply by 2, then subtract 4 starting from 6. The second rule is add 3, then multiply by 2 starting from 1. What are the first four ordered pairs using the two sequences?
(0, 0) (6, 1), (8, 2), (12, 22)
(6, 1), (10, 8), (14,22), (22, 50)
(6, 1), (8, 8), (12, 20), (20, 45)
(6, 1), (8, 8), (12, 22), (20, 50)

Answers

Answer:

(6,1), (8,8), (12,22), (20,50)

Step-by-step explanation:

The required sequence of ordered pairs is (6, 1), (8, 8), (12, 22), (20, 50). Option D is correct.

The first rule is to multiply by 2, then subtract 4 starting from 6. The second rule is to add 3, then multiply by 2 starting from 1. What are the first four ordered pairs using the two sequences to be determined?

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Let the number be x for the first sequence and y for the second sequence.
The first rule is to multiply by 2, then subtract 4 starting from 6.

= 2x - 4
the sequence can be given as
6 is the first number
next number = 2(6) - 4
= 12-4
= 8
So the next term is 8. Similarly next 2 terms can be given as 12 and 20
Values of x = 6, 8, 12, 20

Now, the second rule is to add 3, then multiply by 2 starting from 1.

= (y + 3)2
First term = 1
Next term = (1 + 3)2
= 8
Similarly, the next two terms can be obtained.
y = 1, 8, 22, 50

Thus, the ordered pair can be formed as (6, 1), (8, 8), (12, 22), (20, 50).

Learn more about arithmetic here:

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When the fraction below is written as a decimal, how many digits are in the smallest sequence of repeating digits?

5/11

A. 0
B. 1
C. 2
D. 3

Answers

Answer:

C. 2

Step-by-step explanation:

the answer to 5 ÷ 11 is 0.45 repeating meaning there are two digits before it repeats; the tenths and hundreds place.

Your answer would result in being C, which is 2

Help pls. Also wdym this is to short yk why so long >:/

Answers

Answer:

Y= mx + b

so Y = 1/3x + 2

just substitute

Due to the answer requesting slope intercept form, one shall use the points (3,2) in order to substitute for b. Slope intercept form is formatted in y = mx + b, which m would be your slope, which in this particular problem was given; therefore, y = 1/3x +b.

Now, we shall use points (3,2) as the substitutes for the solution for b, which 3 would be the input and 2 would be y.

Therefore, 2 = 1/3(3) + b
2 = 1 + b, therefore, one would be subtracted from 2 which would give us the answer of b equaling to one. Thus, y = 1/3x + 1

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.

Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside

Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice

Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

4.5 multiplied by x = 81. what represents x?

Answers

18 because its 81. divided by 4.5 which is 18

18x4.5 = 81
18 represents x
10x4.5=45
8x4.5=36
45+36=81
Answer is 18

Which scenario can be modeled by the linear function
y = -15x + 500?

A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.

B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.

C. A carpet cleaning service charges $500 plus an additional $15 for every hour.

D. A membership fee for a movie streaming service is free, but each rental costs $15.

Answers

I think the answer is C

The answer is a because it is able to be modeled unlike the rest

Question 13
Please help me

Answers

I’m pretty sure it is the third one

correct that is the answer to question 13

PLEASE HELP! WILL MARK BRAINLIEST!

Answers

Answer:

1) width = 10 + 2x

length = 20 + 2x

2) area = (10 + 2x)(20 + 2x)

= 4(5 + x)(10 + x)

3) 4(5 + x)(10 + x) = 600

(5 + x)(10 + x) = 150

50 + 15x + x^2 = 150

x^2 + 15x - 100 = 0

(x - 5)(x + 20) = 0

x = 5 feet

The width of the walkway is 5 feet.

I think this is correct

Help and a chocolate cake will appear

Answers

Answer:

The answer is B, 7 3/8

Step-by-step explanation:

B - 7 3/8

Answer: B 7 and 3/8

Step-by-step explanation:

Find the 24th term.
-9, 0, 9, 18, 27, ...
24th term = [? ]

Answers

Answer:

198

Step-by-step explanation:

Find the 24th term.-9, 0, 9, 18, 27, ...24th term = [? ]

Answer: 198

Step-by-step explanation:

Firstly, you must find the nth term.

the sequence is: -9, 0, 9, 18, 27, ...

find the difference between each term. in this sequence, the difference is 9, so it is 9n

then you must find the difference between the sequence 9n and this sequence. 9n is:

9, 18, 27, 36, 45, ...

now find the difference between 9n and our sequence.

adjustment = -18

so the nth term is 9n - 18

now you need to substitute 24, as that is the term you would like to find out, in place of n.

so, our n term looks like this: 9(24)-18

9 x 24 = 216

216 - 18 = 198

hence, the answer is 198.

hope this helps.

Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?

A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft

Answers

Answer:

Step-by-step explanation:

just multiply the three over four inches with seven and a half to get the accurate measurements

the answer to this is D

PLSSSSS ANSWER QUICKLY PLSSSS!!!!!

Answers

ANSWER

its the second one

LOG $( x^{2} -2X(X-1)\\X-1^{2}$

Step-by-step explanation:

Answer: BExplanation:I've already learned this and I'm very VERY good at this stuff.

Mike sold half of his comic books and then bought 9 more. He now has 16. How many did he begin with?

Answers

Answer:14

Step-by-step explanation:

Answer:

Mike had 14 to begin with.

Step-by-step explanation:

16 - 9 = 7

7 x 2 = 14

14 / 2 = 7

9 + 7 = 16

The diameter of a hat is 6.8 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.

2.17 inches
10.68 inches
21.35 inches
36.29 inches

Answers

If I’m not wrong, I believe “distance around the hat” refers to the circumference of the hat.

d = 6.8 in
π (in this problem) = 3.14

Keep the formula in mind: C = 2πr

We have d, but no r. However, we know that r = 1/2d, or the radius is half the diameter.

Then again, it’s 2πr, or 2rπ, ORRRRR dπ.

So 6.8(3.14) = 21.352.

The choices only go in 2 decimal places so round.

Your answer is the 3rd choice: 21.35 in.

The required distance around the hat is approximately 21.35 inches. Option C is correct.

What is the circumference of the circle?

To find the circumference of a circle, we use the formula C = πd, where C is the circumference, π is the mathematical constant pi (approximately equal to 3.14), and d is the diameter of the circle.

Here,
The distance around a circle is given by the formula circumference = π × diameter.

Substituting the given values, we get:

circumference = 3.14 × 6.8

circumference = 21.352

Rounding to the nearest hundredth, we get:

circumference ≈ 21.35 inches

Therefore, the distance around the hat is approximately 21.35 inches.

Learn more about circumference here:

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You are given a triangle with side lengths of 6, 9, and 12. Is the triangle a right triangle? How do you know?

Answers

Answer:

No, it's not

Step-by-step explanation:

You choose the longest side which is 12 and apply the theory of phitagors

The longest side which is the hypotenuse in a right triangle = square root the square sum for each side

So to be a right triangle it should be

$ \sqrt{ {9}^{2} + {6}^{2} } = 10.8 \: \: that \: doesnt \: equal \: 12$

So it's not a right triangle.

Look at the famous right triangle whose side are 5(hypotenuse), 4, 3

$ \sqrt{ {4}^{2} + {3}^{2} } = 5$

So it's a right triangle

I’m happy to help!
Right triangle lengths can be checked by the Pythagorean theorem.
This states that a^2+b^2=c^2
a and b are the shorter side lengths, and they form the right angle. c is the hypotenuse, and is the longest length.
Input the values to check if the equation checks out:
6^2+9^2=12^2
36+81=144
117≠144
No, it is not a right triangle. Hope this helps!

What is-3.28-(4.4)+(-p) p=9.7?

Answers

Answer:

-17.38

Step-by-step explanation:

-3.28-(4.4) = -7.6

-7.6+(-9.7) = -17.38

I can confirm that he is correct ^

help! i dont this math problem please due soon!

Answers

Answer:

12x12 12x6 H = 46cm

Step-by-step explanation:

took quiz

Answer:

46 cm

Step-by-step explanation:

I learned this formula in math last year

Please help meeeeeeeeeeeeeeee!!!!!!!!!!!!!!

Answers

Since the model is 1/13 the size of the tent, you multiply 6” by 13 to get 78”. Since you want feet, you divide 78” by 12” because there are 12 inches in a foot and you want to convert the unit to feet. The answer is 6.5 feet or 6.5’

ISSS THISSSSSS RIIGHTTTTTT

Answers

Answer:

It's A and C

Step-by-step explanation:

when you multiply by a fraction it's the same as dividing it by 2 or 4 in this case. which would make A and C much less and B and D.

your answer would be A and C

A.) 1/4 × 6,766 = 1,691.5

C.) 1/2 × 6,766 = 3,383

Numerele a,b,c sunt rationale si verifica egalitatea 3a+4b=c-36. Determinati cele trei numere daca a si b sunt direct proportionale cu 4 si 3,iar b si c sunt invers proportionale cu 0,24 si 0,01

Answers

Answer:

a/4 = b/3 = k

a=4k

b=3k

0.24=24/100=6/25

0.01=1/100

6b/25 = c/100 = k'

b=25k'/6=3k =>k'=18k/25

c=100k'=72k

Step-by-step explanation:

What the person said above me

Since there are ten of them I will give 45 points (I only have 90) I'm giving you all my points for this guys. Please give me a real answer.
In the following questions, determine whether the equation has a solution, no solution, or an infinite number of solutions. Specify which, and then solve the equation if there is a solution.

7(x-5)=x+13

-6x=-5(x-1)-x

-4(x-2)=-2(x-17/2)

3-4x+5=2(8-2x)

2x+3=+2x

2x+3=2x+5

3x+9=2.5x+14

7(x-4)=4x+5

5x-20=-7x-20

3(2x+1)-4x=2x+3

Answers

Answer:

i only know 1. is 8

and also 5. 0= −3

Step-by-step explanation:

Answer and Step-by-step explanation:

7(x-5)=x+13

Distribute the 7, then solve for x.

7x - 35 = x + 13

6x = 48 (Added 35, subtracted x)

x = 8 (Divided by 6)

One solution

-6x=-5(x-1)-x

Distribute the -5, then combine like terms. Solve for x.

-6x = -5x + 1 - x (negative times negative equals positive)

-1 = 0 (Added 6x, subtracted the x from 1x, subtracted 1)

No solution

-4(x-2)=-2(x-17/2)

Distribute the -4 and -2, then solve for x.

-4x + 8 = -2x + 17 (negative times negative equals positive) (the 2's cancel out to be 17)

-9 = 2x (Added 4x, subtracted 17)

-9/2 = x

One solution

3 - 4x + 5 = 2(8 - 2x)

Distribute the 2, combine like terms. Solve for x.

8 - 4x = 16 - 4x

0 = 8

No solution

2x + 3= +2x

3 = 0

No solution

2x+3=2x+5

0 = 2

No solution

3x+9=2.5x+14

0.5x = 5

x = 10

7(x-4)=4x+5

7x - 28 = 4x + 5

3x = 33

x = 11

One solution

5x-20=-7x-20

12x = 0

x = 0

One solution

3(2x+1)-4x=2x+3

6x + 3 - 4x = 2x + 3

2x + 3 = 2x + 3

0 = 0

Infinite solutions (The reason why this one is infinite is because if you were to plug in any value for x, the result will equal itself, like the 0 = 0.

#teamtrees #WAP (Water And Plant)

21. Given the pattern below, which recursive formula represents the number of triangles in this sequence?

Answers

Answer:

its 4

Step-by-step explanation:

a 1 = 3 , a n = a n - 1 + 2

because if you aply this to the shapes that you see at problem 21 you will see that it meaches them

Answer:

a1 = 3, an = an - 1 + 2

Step-by-step explanation: Notice that Choices (1) and (2) are not recursive formulas, so both can be eliminated.

The first term has 3 triangles and each term after adds 2 more. This is Choice (4).

In the diagram of a fan below, CA = 9.5 in. this is the distance from the center to a point on the fans blade. what is the distance point A travels in one rotation of the fans blade

Answers

Answer:

About 59.66 inch

Step-by-step explanation:

To find the circumference you first have to find the diameter which is the double the radius. Since 9.5 is the radius of this circle, the diameter is, 9.5x2=19.

With the diameter of 19, you multiply the 19 with pie which is approximately 3.14. The answer is 19x3.14=59.66

We can use the formula for the circumference of a circle to find the distance point A travels in one rotation of the fan's blade. The distance traveled is the same as the circumference of the circle with radius 9.5 in., which is:

C = 2 * pi * r
C = 2 * pi * 9.5
C = 59.69 in.

So point A travels a distance of approximately 59.69 inches in one rotation of the fan's blade.

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Solve the equation for x. Check the solution. 2. -5(x + 3) = 20

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Solve the equation for x. Check the solution.

2. -5(x + 3) = 20