The equation 7(u-5)=21 is solved in several steps below. For each step, choose the reason that best justifies it.

Answers

Answer 1

Answer:

[tex]u = 8[/tex]

Step-by-step explanation:

The steps are not shown. So, I will solve from scratch

Given

[tex]7(u -5) = 21[/tex]

Required

Solve, with steps

[tex]7(u -5) = 21[/tex]

Apply distributive  property

[tex]7u - 7 * 5 =21[/tex]

[tex]7u - 35 =21[/tex]

Collect like terms

[tex]7u = 35 + 21[/tex]

[tex]7u = 56[/tex]

Divide both sides by 7

[tex]\frac{7u}{7} = \frac{56}{7}[/tex]

[tex]u = 8[/tex]


Related Questions

PLEASE HELP FAST! WILL GIVE BRAINLIEST.

Answers

Answer:

..

Step-by-step explanation:

right and scalene

Answer:

E, F

Step-by-step explanation:

Because the triangle has a right angle, it is a right triangle. Also, because the triangle doesn't sides of equal length, the triangle is also scalene.

A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?

Answers

Answer:

2x[tex]\sqrt{15}[/tex]

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = [tex]\sqrt{4}[/tex]·[tex]\sqrt{15}[/tex] · [tex]\sqrt{x^2}[/tex]

This can be simplified to be 2x[tex]\sqrt{15}[/tex]

Tim had $788 in his checking account. Then, he spent $135 from the account. How much money is left in Tim's checking account?

Answers

Answer:

$653

Step-by-step explanation:

788 - 135 = 653

Answer:

653..too easy

Step-by-step explanation:

788

-135

653

The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the record, and he needs 18000 or more points to do so.
Write an inequality to determine the number of seven-letter words, w Sal could make to break the record.

Answers

Answer:

Answer: 50x+100\geq18,00050x+100≥18,000

Let w denotes a seven letter word which Sal will need to make to break the record.

Since you get 50 points for each seven-letter and 100 points for playing the game.

Then the total points earned by you by making w seven letters words will be:

50x+10050x+100

Since, Sal wants to break that record, and needs 18,000 points or more to do so.

Then , the required inequality will be :

50x+100\geq18,00050x+100≥18,000

THE FIRSTT
ONE Plsss someone help me

Answers

The answer is 20%

30+60+30+30=150grams total
30grams cheese/150grams total= 0.20
0.20 as a percentage is 20%

hello please help i’ll give brainliest

Answers

Most student scored from 70-79

The cereal box shown below is a rectangular prism.

Answers

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

Side 1:

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

Side 2:

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

Side 3:

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

Side 4:

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

Side 5:

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

Side 6:

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

Surface Area:

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

2 trifles coast $7
how much will 6 trifles coast

Answers

Answer:

$21

Step-by-step explanation:

2 trifles coast = $7

2 x 3 = 6

7 x 3 = 21

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Using Pythagorean Theorem. It’s around 10.7

Find the circumference of the object. Use $3.14$ or $\frac{22}{7}$ for $\pi$ . Round to the nearest hundredth if necessary.

Answers

Answer:

18.84 units

Step-by-step explanation:

The question is incomplete, however, we can proceed with the given information

Given data

The expression for the circumference of a circle is given as

C= 2πr

Hence when we have a value for the radius say r= 3

Hence the circumference can be found as

C= 2*3.14*3

C= 18.84 units

Find the area of the figure

Answers

Answer: 7500m

Step-by-step explanation:

Which relationship is true for the triangle based on the Law of Sines?

Answers

Answer:

We know the  angle given refers to the length of the opposite side.

Given angle = 82 and the opposite side = 34 so part of the  relationship is

sin 82 / 34 = sin (  ) / ( )

We are also given one side = 27 and that side is opposite angle at C

so that part of the relationship is   sin C / 27

sin 82 / 34 = sin C / 27

A true relationship based on the Law of Sines was found in the given triangle.

In the given triangle

∠A=82°

Length of side in front of ∠A = 34

Length of side in front of ∠C = 27

What is sine law?

According to sine law, in a triangle, ABC, if the sides in front of ∠A, ∠B, ∠C are a, b, c respectively then

[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}[/tex]

According to the sine law, the sides in front of angle A and angle C are 34 and 27 respectively.

So, [tex]\frac{Sin82}{34} =\frac{SinC}{27}[/tex]

Hence, a true relationship based on the Law of Sines was found in the given triangle.

To get more about sine law visit:

https://brainly.com/question/24175301

The measure of an angle is 28.1°what is the measure of its complementary angle

Answers

Answer:

Step-by-step explanation:

in complementary angle sum of two angle is always 90 degree.so,

let another be x

x+28.1=90

x=90-28.1

x=61.9

therefore another angle is 61.9 degree.

help finding the circumference

Answers

Answer:

approximately equal to 72 centimeters

Step-by-step explanation:

The formula for the circumference of a circle is 2[tex]\pi[/tex]r.  

The formula for finding the radius with an arc and an arc length is 180 times l over [tex]\pi[/tex] times the angle.

[tex]\frac{3420}{298.45}[/tex] which is approximately equal to 11.46

11.46 is our radius so the circumference is 2[tex]\pi[/tex](11.46) or about 72

So far this semester, Brian is averaging a score of 63 points on math tests, which is 10% lower than his average last semester. What was the average of his scores last semester?

Answers

Answer:

Step-by-step explanation:

So far this semester, What was the average of his scores last semester?

Let us represent last semester average score as x

We are told that:

Brian is averaging a score of 63 points on math tests, which is 10% lower than his average last semester.

This is expressed Mathematically as:

63 = x - 10%

63 = x - 0.1

Collect like termd

x = 63 + 0.1

x = 63.1

which expressions are equivalent to x^4/5

Answers

None of the above! The correct answer is 5 square root x^4 and it isn’t listed
Please Mark BRAINLIEST!

375 fish are swimming in a school. First, 47 fish swim away. Then 116 more fish join the school. How many fish are in the school now? 2. Which operations will you use to find how many fish are in the school now? Explain. 3. Generalize Are there now more or less than 375 fish in the school? Explain how you know. 4. How many fish are in the school now?

Answers

Answer:

444

addition and subtraction

there are more fish in the school

the number of fishes that left the school is less than the number of fish that joined the school

Step-by-step explanation:

fishes that swam away = 375 - 47 = 328

fish that joined = 328 + 116 = 444

to determine the fish that swam away subtract. to determine the fish that joined, add.

116 is greater than 47. so there are more than 375 fish in the school

Can anyon help me plzz...
Solve these order of operation:
A. (2.8+(-1^4)×(3.4^0-4×0.5)
B. 2.8÷(-3.1+5^2)
C. 15.3+3.1×4-8×(-0.6)​

Answers

Answer:

A= 3.8 B= 0.127 C= 32.5

Step-by-step explanation:

PLS HELP ITS 6TH GRADE AND ILL MARK U AS BRAINLIST AND FOLLOW U

Answers

Answer:

To find the left triangle we make the two right triangles equal 1 square, making the area of that 2x2 or 4

Then we take the uppermost triangle on the left and find the area of that which is 2x2 / 2 or 2. Then we find the right uppermost triangle which is 5x 2 /2 or 5. Then we take the rightmost triangle and find that 4x 4 /2 or 8. Then we add the square in the middle which is 3 x 4 or 12.

Add those area 4 + 2 + 5 + 8 + 12. You should get 31.

Hope that helps somewhat. You need to divide the shape into easily usable shapes like squares and triangles.

Janice is 7 years older than Tam. Complete the table, and then graph this situation.
Tam

x(years)

2 9

4 ?

6 ?

8 ?

Answers

Answer: these are the numbers, if you put them in desmos you'll get the graph, good luck

Step-by-step explanation:

2 9

4 11

6 13

8 15

Item 2
Which statements about liquid volume are true?

Select each correct answer.


One milliliter is 100 times smaller than one liter.

Liters are smaller units than milliliters.

Milliliters are smaller units than liters.

One liter is 1,000 times larger than one milliliter.

One milliliter is 100 times larger than one liter.

One liter is 1,000 times smaller than one milliliter.

Answers

Answer:

C, D

Step-by-step explanation:

These are the only correct statements about liquid volume. 1L= 1,000mL

A Liter is larger than a mL, a thousand times so.

A mL is smaller than a Liter, a thousand times so.

The correct statements about liquid volume are:

1. One milliliter is 100 times smaller than one liter.

2. Milliliters are smaller units than liters.

3. One liter is 1,000 times larger than one milliliter.

1. One milliliter is 100 times smaller than one liter:

This statement is true.

Since there are 1,000 milliliters in one liter, dividing one liter by 1,000 gives us the equivalent value of one milliliter.

2.  Milliliters are a smaller unit of measure compared to liters. There are 1,000 milliliters in one liter, so any given volume in milliliters will be a fraction of the equivalent volume in liters.

3. As mentioned earlier, there are 1,000 milliliters in one liter.

Therefore, one liter is 1,000 times larger than one milliliter.

4. Liters are larger units of measure compared to milliliters.

5. As explained earlier, one milliliter is 100 times smaller than one liter.

Learn more about Unit Conversion here:

https://brainly.com/question/31054078

#SPJ6

If anyone can solve this quickly I will give brainly

Answers

Answer:

m∠BFE  = 171º

BE = 219º

Step-by-step explanation:

∠BFE is supplementary to ∠EFC

m∠BFE  = 180 - 9

m∠BFE  = 171º

--------------------------

The angle between two chords is equal to half the sum of the intercepted arcs:

∠BFE = (DC + BE)2

171 = (123 + BE)/2

342 = 123 + BE

219º = BE

Why is this equation not valid? Please help

Answers

Answer:

not valid..

Step-by-step explanation:

I’m decent at math, but what is this

1) Solve. -3x – 4 = 5

Answers

x=-3

Hope this helped!

X= -3
Have a nice day!

will name brainliest

Answers

Answer:

DE ≈ 6.97

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos55° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{4}{DE}[/tex] ( multiply both sides by DE )

DE × cos55° = 4 ( divide both sides by cos55° )

DE = [tex]\frac{4}{cos55}[/tex] ≈ 6.97 ( to the nearest hundredth )

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 13 inches, and the length of the base is 8 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch

Answers

Answer:

12.2 inches

Step-by-step explanation:

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 5 inches, and the length of the base is 2 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.

The length of the sides of the isosceles triangle can be found from the

given altitude and the length of the base.

The perimeter of the triangle is approximately 35.2 inches.

Reasons:

The given parameter are;

The triangle is an isosceles triangle

The altitude cuts the base into two

Length of the altitude, h = 13 inches

Length of the base of the triangle, l = 8 inches

Required:

Find the perimeter of the triangle.

Solution:

By using the Pythagorean theorem, we have;

Length of one of the isosceles sides of the triangle which is an hypotenuse

side of the right triangle formed by the altitude, R, is given as follows;

[tex]\displaystyle R = \mathbf{\sqrt{ h^2 + \left(\frac{l}{2} \right)^2}}[/tex]

Therefore;

[tex]\displaystyle R = \sqrt{ 13^2 + \left(\frac{8}{2} \right)^2} = \mathbf{ \sqrt{ 13^2 + 4^2}} =\sqrt{185}[/tex]

R = √(185) inches

Therefore, the length of the other hypotenuse side = R = √(185) inches

On the original triangle, the sides are; R, R, and l

Which gives;

The perimeter of the triangle, P = R + R + l = 2·R + l

Therefore;

P = 2 × √(185) + 8 ≈ 35.2

The perimeter of the triangle, P ≈ 35.2 inches.

Learn more about Pythagorean theorem here:

https://brainly.com/question/2514956

Which expression represents the product or x3+2x-1 and x4 - x3+3?

Answers

Answer:

4th option

Step-by-step explanation:

(x³ + 2x - 1)([tex]x^{4}[/tex] - x³ + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x³([tex]x^{4}[/tex] - x³ + 3) + 2x([tex]x^{4}[/tex] - x³ + 3) - 1 ([tex]x^{4}[/tex] - x³ + 3) ← distribute parenthesis

= [tex]x^{7}[/tex] - [tex]x^{6}[/tex] + 3x³ + 2[tex]x^{5}[/tex] - 2[tex]x^{4}[/tex] + 6x - [tex]x^{4}[/tex] + x³ - 3 ← collect like terms

= [tex]x^{7}[/tex] - [tex]x^{6}[/tex] + 2[tex]x^{5}[/tex] - 3[tex]x^{4}[/tex] + 4x³ + 6x - 3

Select all of the statements that are valid based on the survey results.

Answers

Answer:

all except the last one

Step-by-step explanation:

2. There is a bag containing 10 red, 10 blue, and 10 yellow pleces of paper. Each paper color is numbered from 1 to 10. How would you express the probability that you select a blue piece of paper given that it has a number 10 on it?
A.P(10|blue)
B.P(blue)
C.P(10)
D.P(blue|10)

Answers

The answer I believe is c

Use the proportion below to determine 30% of 20.

Answers

Answer:

x=6

Step-by-step explanation:

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