How do I do this fraction with Distributive Property???

How Do I Do This Fraction With Distributive Property???

Answers

Answer 1

Answer:

[tex]3a - 1[/tex]

Explanation:

[tex] \frac{9a - 3}{3} [/tex]

Factor out 3

[tex] \frac{3(3a - 1)}{3} [/tex]

Cancel out the common factor 3

[tex]3a - 1[/tex]


Related Questions


A group of friends went to Starbucks and
ordered 2 muffins and 3 cups of coffee for $22.35.
In the same coffee shop, another group of friends
ordered 4 muffins and 3 cups of coffee for $32.85.
Algebraically determine the price of one muffin and
one cup of coffee.

Answers

Answer:

1 muffin is 5.25 and 1 cup of coffee is 3.95

Step-by-step explanation:

32.85 - 22.35 is 10.5. 10.5 divided by 2 is 5.25 that is the cost of 1 muffin. 22.35 - 10.5 is 11.85. 11.85 divided by 3 is 3.95.

A rectangular prism has a length of 4m, a height of 11m, and a width of 17m. What is its volume, in cubic m?

Answers

Answer:

748m³

Step-by-step explanation:

Hello!

The volume of a rectangular prism is determined by the formula [tex]l * w * h[/tex]. To find the volume is to find how much space the object takes up in 3D. The formula is used to find the area of the base ( [tex]l * w\\[/tex] ), or the space taken on a 2D plane and multiplied by the height to give it 3 Dimensions.

Breakdown of [tex]l * w * h[/tex]:

[tex]l[/tex] is length[tex]w[/tex] is width[tex]h[/tex] is height

Find the Volume:

Use the formula and plug in values into the formula.

V = l * w * hV = 4 * 17 * 11748

Th units of length are m, and volume is the units cubed, so the units are m³.

The volume is 748m³

Answer:

748

Step-by-step explanation: V= W*H*L

17*11*4= 748m^3

for Touya03..............

Answers

This is basically how they got the correct answer.

First they used the area formula:

[tex]\pi \times {r}^{2} [/tex]

So for you that would be:

[tex]\pi \times {9.8}^{2} [/tex]

Which equals

301.7

Since there's a hole in the circle we do the area of a square which is base times height.

Which is 3 x 3 = 9 for your problem

Then we subtract

301.7 - 9 = 292.7 !

Which is almost exactly 292.57 since there is a margin

80/180 simplified to its simplest form

Answers

4/9

hope it helps...!!!

Answer:

[tex] \frac{4}{9} [/tex]

Step-by-step explanation:

[tex] \frac{80 \div 10}{180 \div 10} = \frac{8 \div 2}{18 \div 2} = \frac{4}{9} [/tex]

Hope this help you out =)

help me find the total surface area of this shape

Answers

Answer: 808.64 m2

Step-by-step explanation:

Write the unit rate for each of the following

Answers

Answer:

1. $36/4 hours = $9per hour

2. 350miles/7hours = 50mile per hour

3. 1.60 / 20 = $0.08 per pen

need help on this question

Answers

Answer:

3/7

Step-by-step explanation:

This is because you need to count the tick marks to 1.

That should be 7.

Then you count to the red dot.

That should be 3.

3/7

Answer: 3/7

Step-by-step explanation:

There are 7 segments that separates 1 from 0, therefore our denominator of the fraction is 7.

The red dot is on the third tick, making our numerator 3.

Our answer is 3/7, or [tex]\frac{3}{7}[/tex]

LOCKS IN 15 MIN! WILL GIVE BRAINLEST! In a right triangle, the side opposite angle θ has a length of 80 inches, the side adjacent to angle θ has a length of 84 inches, and the hypotenuse has a length of 116 inches. What is the value of tan(θ)?
0.724
1.050
0.690
0.952

Answers

⚠ANSWER⚠

tan θ = 0.952

tan θ = AC ÷ BC

tan θ = 80 ÷ 84

tan θ = 0.952

...hope this helps...

What is the mode of the data set?

Math Test Scores
5 0 4
6 5 7 8
7 5 8
8 2 4 5 5 5 6 7 8 9
9 0 0 0 0 4 6 7 9
5 0 = 50

Answers

Answer:  90

Reason:

We have this stem-and-leaf plot

[tex]\begin{array}{r|l}\text{stem} & \text{leaf}\\\cline{1-2}5 \ & \ 0 \ 4\\6 \ & \ 5 \ 7 \ 8\\7 \ & \ 5 \ 8\\8 \ & \ 2 \ 4 \ 5 \ 5 \ 5 \ 6 \ 7 \ 8 \ 9\\9 \ & \ 0 \ 0 \ 0 \ 0 \ 4 \ 6 \ 7 \ 9\\\end{array}[/tex]

where something like [tex]5 \big| 0[/tex] represents the number 50.

The most frequent leaf is "0" in the very bottom row. It shows up four times, which is the most of any of the other leaf.

This leaf ties to the stem of 9.

stem = 9 & leaf = 0 leads to the data value 90.

Therefore, the mode is 90

3. The height in feet of a thrown football is modeled by the equation
f(t) = 6 + 30t – 16t?, where time t is measured in seconds.
a. What does the constant 6 mean in this situation?
b. What does the 30t mean in this situation?
c. How do you think the squared term - 16t2 affects the value of the function f?
What does this term reveal about the situation?

Answers

The expression 30t mean that the velocity of the football is 30, while the term 16t² makes the function to be quadratic.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(t) = 6 + 30t – 16t²

Where f(t) is the height of the football after t seconds.

The constant 6 means the football was thrown from a height of 6 feet above the ground.

The expression 30t mean that the velocity of the football is 30, while the term 16t² makes the function to be quadratic.

Find out more on equation at: https://brainly.com/question/2972832

Solve for the equation x

Answers

Answer:

15.4

Step-by-step explanation:

∠RSA =

95`

95-18=

77/5=

15.4

4 x 15.4=

61.6+7=

68.6

Please answer the following questions correctly.

Answers

Answer:

(x_4)^2+(y+1)^2=81

Step-by-step explanation:

you change the signs of the x and y co efficient. The general formula is (a,-b) (x_a)^2+(y+b)^2=r^2

The diameter of a circle is 5 in. Find its area to the nearest hundredth.

Answers

Answer:

19.63 in²

Step-by-step explanation:

Given:

[tex]\text{Diameter of circle: 5 inches}[/tex]

Determine the radius of the circle:

The relationship between the diameter and the radius of the circle is that the diameter is two times larger than the radius. Thus, the diameter needs to be divided by two to obtain the radius of the circle.

⇒ Diameter/2 = Radius⇒ 5 inches/2 = Radius⇒ 2.5 inches = Radius

Determining the area of the circle:

The area of the circle is πr². Let's substitute the measure of the radius to determine the area of the circle.

⇒ πr² = Area of circle⇒ π(2.5)² = Area of circle

Simplify the square of 2.5:

⇒ π(2.5)(2.5) = Area of circle⇒ 6.25π = Area of circle

Replace π with 3.14 (Approx.):

⇒ 6.25(3.14) = Area of circle⇒ 19.625 in² = Area of circle

Furthermore, the question said to round to nearest hundredth...

19.63 in² = Area of circle

The cost to rent a condominium at the beach is $1,500 per week. If two people share the cost, they each have to pay $750. Explain why the relationship between the cost per person varies inversely with the number of persons sharing the cost. Then write an inverse variation function that can be used to calculate the cost per person, c, of p persons sharing the rental fee.

Answers

Step-by-step explanation:

c = cost per person

p = number of people

The cost per person is 1500/p, where 

is the number of people. A larger p creates a smaller value of c since they are INVERSELY RELATED.

I believe the inverse variation function is

c = 1500 × 1/p

make sure to ask if you need anything else. :)

What is the volume of the right rectangular prism?

A prism has a length of 10 centimeters, height of 3 centimeters, and width of 8 centimeters.
21 Centimeters cubed
42 Centimeters cubed
83 Centimeters cubed
240 Centimeters cubed

Answers

Answer: D: 240 Centimeters cubed

Step-by-step explanation:

Volume = LxWxH

Volume = 10 x 8 x 3

Volume = 240cm³

Your answer is D: 240 Centimeters cubed

What is the first step in constructing an angle? Draw a horizontal ray. Connect the endpoint and the mark at the angle measure Make a mark at the number of degrees you want the angle to be. Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor.​

Answers

The first step in constructing an angle by means of a protractor is; Draw a horizontal ray.

How to Construct an angle

The first step in constructing an angle by means of a protractor involves a sequence of ordered steps as follows;

Draw a horizontal ray.Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor.Make a mark at the number of degrees you want the angle to be.Connect the endpoint and the mark at the angle measure

Read more on Angle construction;

https://brainly.com/question/8607612

PLEASE ANSWER ASAP!! 57 POINTS!!! BRAINLY!) there were 80 teenagers in line for tickets to a concert. Forty percent were boys. Twenty-six girls wanted $10 tickets. The rest wanted $15 tickets. The results are shown below. $10 $15 Total Вoys ? 18 Girls 26 22 ? Total 40 40 80 How many of the teenagers in line are boys?

Answers

32 boys total. The way I found this was that it says 40 people total bought 10 dollar tickets and that 26 of those people were girls, so if you subtract 26 from 40 you get 14. Then you add the 14 to the 18 boys we know got 15 dollar tickets and you’ll find 32 boys total.
If there are 80 teenagers in line and 40% are boys the 80 * .4 = 32 boys in line.

The other boxes are easy to fill in after that.

Total Girls is 48

and

$10 boys is 14

Good luck with your studies!!

Which is equivalent to 7/10?

Answers

14/20 , 21/30 ,28/40 & 35/50 all are equivalent ratio to 7 /10

Which integer has the least value (-17,-7,-12,2)

Answers

-17 because if there is a negative sign in front the greater the number the less value in has due to the negative sign

What is the probability of choosing 3 or 4?
Answer:

Answers

1/2 because there are only 2 choices.

1. A smaller square piece of plywood was cut from a larger square piece. If opposite ends of the remaining plywood have measures 2x + 5 cm and 2x – 5 cm, what expression represents its area?

2. A shipping container has a shape of a rectangular prism. If the area of its base is 49x2 + 14x + 4 sq. ft. and its height is 7x – 2 ft., what expression can be used to represent its capacity?​

Answers

Answer:

Plywood1: x = width ; length = 2x

1) x (2x) = 4.5

2) 2x² - 4.5 = 0

a = 2 ; b = 0 ; c = -4.5

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a} = \frac{0 \pm\sqrt{0-4(2)(-4.5)} }{2(2)}= \frac{\pm6}{4} = \boxed{\frac{3}{2}}x=

2a

−b±

b

2

−4ac

=

2(2)

0−4(2)(−4.5)

=

4

±6

=

2

3

Plywood2: x = width ; length = 2x-1.4

1) x (2x-1.4) = 16

2) 2x² -1.4x -16 = 0

a = 2 ; b = -1.4 ; c = -16

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{1.4 \pm\sqrt{1.96-4(2)(-16)} } < br / > {2(2)}=\frac{1.4 \pm11.4 }{4}=\boxed{3.2}x=

2a

−b±

b

2

−4ac

=

<

1.4±

1.96−4(2)(−16)

br/>2(2)=

4

1.4±11.4

=

3.2

Plywood3: x = width ; length = 5-x

1) x (5-x) = 6

2) -x² +5x -6 = 0

a = -1 ; b = 5 ; c = -6

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{-5 \pm\sqrt{25-4(-1)(-6)} }{2(-1)}=\frac{-5 \pm1}{-2}x=

2a

−b±

b

2

−4ac

=

2(−1)

−5±

25−4(−1)(−6)

=

−2

−5±1

\boxed{x_1=3}

x

1

=3

\boxed{x_2=2}

x

2

=2

BRAIN LESS ANSWER

what is 169 +169/23? give answer

Answers

Answer:

4056/23

Step-by-step explanation:

[tex]\begin{aligned}169+\dfrac{169}{23} & =\dfrac{169}{1}+\dfrac{169}{23}\\\\ & =\dfrac{169\times 23}{1\times 23}+\dfrac{169}{23}\\\\ & =\dfrac{3887}{23}+\dfrac{169}{23}\\\\ & =\dfrac{3887+169}{23}\\\\ & =\dfrac{4056}{23}\end{aligned}[/tex]

Can someone explain how I would find the value of y in the following equation? I know the answer, I just don’t understand how to do it. Giving Brainliest, please help!

y = 157y/38 - 3,321.485

Answers

Answer:

The answer is, y = 1060.64

Step-by-step explanation:

First, you want to multiply both sides by 38, which gives you

38y = 157y -126216.

Then you want to rearrange:

119y = 126216

then you want to divide by 119, which gives you y=126216/119, which is 1060.64

I'll be expecting my reward :)

What do 32x4x3x2÷5 equal 20 points and brainliest if right.

Answers

Answer:

153.6

Step-by-step explanation:

Answer:

153.6

Step-by-step explanation:

32x4=128

128x3=384

384x2=768

768/5=153.6

After trick-or-treating, Juan counted his candy. He collected 25 pieces of candy and noticed that 2/5 of the candy was chocolate. How many pieces of Juan’s candy were chocolate?

Answers

Answer:

10 pieces of Juan's candy was chocolate

Step-by-step explanation:

to find 2/5 of something, you have to multiply.

of means to multiply.

So then you multiply 2/5 by 25.

[tex]\frac{2}{5}*\frac{25}{1} =\frac{10}{1} =10[/tex]

HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

25.6 MB

Step-by-step explanation:

Question: 256 MB file tha'ts been downloaded 16.4%

256 × 16.4% = 256 × 0.164 = 25.584 (using a calculator)25.584 MB is our accurate answerWe need to round to the nearest 10th.5 is where our 10th isto the right is .08.58 rounds UP to .6We go from 25.584 to 25.625.6 MB

Answer:

42.5 MB.

Step-by-step explanation:

Why?

16.4% of 259 = 42.476

(using a calculator)

Therefore, rounding to the nearest tenth, 42.476 (where the second 4 is) making it 42.5 MB. The 7 (in the hundredths place) is greater than 5 or equal to ( [tex]x\geq 5[/tex] ). This causes the tenths place to round up one number. If the number was less than 5, the tenths place would stay at 4.

Making the answer: 42.5 MB

Hope this helps!

for the quadratic function f(x)=5x^2-2x+3, find f(x+2), f(x+2)-f(x), and f(x+h)

Answers

Answer:

f(x + 2) = 5x² + 18x + 19

f(x + 2) - f(x) = 20x + 16

f(x + h) = 5x² + 10hx + 5h² - 2x - 2h + 3

Step-by-step explanation:

1. f(x + 2)

[tex]f(x)=5x^2-2x+3\\f(x+2)=5(x+2)^2-2(x+2)+3\\f(x+2)=5(x+2)(x+2)-2(x+2)+3\\f(x+2)=5(x^2+4x+4)-2(x+2)+3\\f(x+2)=5x^2+20x+20-2(x+2)+3\\f(x+2)=5x^2+20x+20-2x-4+3\\f(x+2)=5x^2+18x+20-4+3\\f(x+2)=5x^2+18x+19[/tex]

2. f(x + 2) - f(x)

[tex]f(x+2)-f(x)\\(5x^2+18x+19)-(5x^2-2x+3)\\5x^2-5x^2+18x-(-2x)+19-3\\0x^2+18x+2x+16\\20x+16[/tex]

3. f(x + h)

[tex]f(x)=5x^2-2x+3\\f(x+h)=5(x+h)^2-2(x+h)+3\\f(x+h)=5(x+h)(x+h)-2(x+h)+3\\f(x+h)=5(x^2+2hx+h^2)-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2x-2h+3[/tex]

Henry owns a small business selling clothing. He knows that in the last week 70 customers paid cash, 20 customers used a debit card, and 22 customers used a credit card.

Based on these results, express the probability that the next customer will pay with something other than a debit card as a percent to the nearest whole number

Answers

Answer:

80%

Step-by-step explanation:

it’s 82% but rounded its 80

What is the area of the trapezoid

Answers

Answer:

153

Step-by-step explanation:

Triange area = 1/2 b*h

= 1/2 (7)*(9)

=31.5 (for 1 triangle)

2(31.5) = 63 (for 2 triangles, left and right)

Rectangle area = b *h

= 10*9

=90

Total = 2 triangles + rectangle

63+90 = 153

Answer: 108

Step-by-step explanation: the formula, 10+7(2)/2 x 9 = 108

please help me solve this

Answers

Answer:

∠ F ≈ 24.2°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan F = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{GH}{FG}[/tex] = [tex]\frac{9}{20}[/tex] , then

F = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{20}[/tex] ) ≈ 24.2° ( to the nearest tenth )

,= 2420
Step-by-step explanation:
using the tangent ratio in the right triangle
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