use the distributive property to expand the expression 7(9x - 2)

Answers

Answer 1
7(9x−2)
=(7)(9x+−2)
=(7)(9x)+(7)(−2)
=63x−14

Related Questions

Mai bought a television for $330. The tax rate is 8%. What is the total amount Mai paid for the television? Enter your answer in the box.

Answers

answer= $356.4 including sales tax

Answer:

356.4 is  the correct Answer

Step-by-step explanation:

I took a quiz

One number is 4 less than eleven times another. The sum of the two numbers is 92. Find the numbers.

Answers

The numbers are 8 and 84

8 x 11 = 88
88 - 4 = 84
84 + 8 = 92
Final answer:

The problem is an algebraic one involving two linear equations. By setting up correct equations, solving them step-by-step, we find that the two numbers are 8 and 84.

Explanation:

This problem falls under algebra and specifically it involves solving linear equations. Let's denote the two unknown numbers as x and y. Given that 'One number is 4 less than eleven times another' we can formulate the first equation like this: y = 11x - 4. The second piece of information given is 'The sum of the two numbers is 92', so the second equation is x + y = 92.

We can substitute y from the first equation to the second equation which gives us: x + 11x - 4 = 92. Simplifying this gives us: 12x - 4 = 92. Solving for x we add 4 to both sides to get 12x = 96, and then divide both sides by 12 to find that x = 8.

Now that we have found x, we can substitute it back to one of the initial equations to find y. Substiting x = 8 into the equation y = 11x - 4 we find that y = 84. So the two numbers we are looking for are 8 and 84.

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the triangles below are similar find the value of x

Answers

Its 12 because you do 10.5/21=x/24

Answer:

[tex]x=12\ units[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of their corresponding sides is equal

so

In this problem

[tex]\frac{x}{24}=\frac{10.5}{21}[/tex]

[tex]x=24\frac{10.5}{21}[/tex]

[tex]x=12\ units[/tex]

A spider traveled 20 feet in 12 minutes. At this rate, how far could it travel in 3 minutes Distance ( ft ) 20 | | | Time (min) 12 | | 3|

Answers

It could travel 5 feet in 3 minutes because 12minutes/4 is three minutes and 20feet/4 is 5 feet.

The spider's average speed is 5/3 feet per minute, so in 3 minutes it could travel 5 feet.

To solve how far a spider could travel in 3 minutes based on its rate of 20 feet in 12 minutes, we use the concept of proportional relationships. The average speed of the spider can be calculated first.

The average speed is found by dividing the total distance by the total time. So, the spider's average speed is:

20 feet / 12 minutes = 5/3 feet per minute.

To find out how far the spider could travel in 3 minutes at this speed, we multiply the average speed by the time:

(5/3 feet per minute) x 3 minutes = 5 feet.

Thus, the spider could travel 5 feet in 3 minutes at the same rate.

A number decreased by 23 is 44. Find the number. Which equation can be used to solve this problem?
A) x - 23 = 44
B) 23 - x = 44
C) x - 44 = 23
D) 44 - x = 23

Answers

The correct answer would be A

the product of a number and the difference of the number and 5

Answers

x(x-5)
this is because product is multiplcation and difference is subtraction. The multiplication of a subtraction problem is distribution

what the equivalent name for 96

Answers

Exquivelant number of 90

how can you identify a linear nonproportional relationship from a table, a graph, and an equation?

Answers

Final answer:

A linear nonproportional relationship can be identified from a table by a consistent change in the dependent variable with a non-zero y-intercept, in a graph as a straight line with a constant slope that does not pass through the origin, and in an equation by the form y = mx + b or y = a + bx with a non-zero y-intercept.

Explanation:

To identify a linear nonproportional relationship from a table, a graph, and an equation, one must understand the characteristics of such a relationship. A linear nonproportional relationship is defined as a relationship where the rate of change between the variables is constant, but the ratio of the dependent variable to the independent variable is not constant.

From a table, a linear nonproportional relationship is identified by a consistent change in the dependent variable as the independent variable changes, but the starting value is not through the origin (0,0); there is a non-zero y-intercept.

In terms of a graph, it would appear as a straight line that does not pass through the origin but has a consistent slope. The slope of the line represents the rate of change, while the point where the line crosses the y-axis represents the y-intercept, which is not zero.

A linear nonproportional equation typically takes the form y = mx + b or y = a + bx, where m or b is the slope and b or a is the y-intercept. To recognize nonproportionality, check if the y-intercept (b or a) is not zero.

Bart practice his trumpet 1 1/4 hours each day how many hours will be practice in 6 days?

Answers

He practices 1.25 hours every day which we want to multiply by 6 days

1.25x6=7.5 hours

what is 49.32 x 10 to the third power

Answers

49.32 x 10 to the third power
=49.32 x 1000
=49,320
Well, 49.32 x 10 is 493.2, and 493.2 x 493.2 x 493.2 is 119969045.568.

Are you sure you typed the question properly? That's a hard question lol.

7/8 students own a bike . 72 is the difference between the ones that own a bike and ones that do not. how many were surveyed?

Answers

x + y is the number of students who were surveyed. x is the number who own a bike. y is the number who don't. the ratio of the ones who own a bike and the ones who were surveyed is x / (x + y) that ratio is 7/8. you get x / (x + y) = 7/8 multiply both sides of this equation by (x + y) to get x = (x + y) * 7/8 simplify to get x = 7/8 * x + 7/8 * y subtract 7/8 * x from both sides of this equation to get: 1/8 * x = 7/8 * y solve for x to get x = 7 * y this means that the number of students who own a bike is 7 times the number of students who don't. divide both sides of that equation by y to get x/y = 7/1. that means that the ratio of students who own a bike to the number of students who don't is equal to 7/1. the problem states that the difference between the number who own a bike and the number who don't is 72. this means that x - y = 72 from the equation of x = 7 * y, replace x with 7 * y in the equation of x - y = 72 to get: 7 * y - y = 72 simplify to get 6 * y = 72 divide both sides of that equation by 6 to get y = 72/6 = 12 this means that the number of students who do not own a bike is 12. since x = 7 * y, then x = 7 * 12 = 84. this means that the number of students who own a bike is 84. since the number of students is x + y, this means that the number of students who were surveyed is 84 + 12 = 96. let's see if this is right. 96 students were surveyed. 84 own a bike and 12 don't. the difference between the ones who own a bike and the ones who don't is 84 - 12 = 72. the ratio of the ones who own a bike and the number surveyed is 84/96 = 7/8. solution is 96 students were surveyed.
The answer is 96 students were surveyed

Cecily picked 219 apples and she divides them equally into 3 baskets how many apples are in each basket

Answers

There will be 73 apples in each basket,
to solve this you divide 219 into three.
Hope this helped!!
There are 73 apples in each basket, just simply divide 219 / 3 = 73
check your answer:
73 x 3 = 219
Hope this helps~

24.2 / 0.2 can someone explain please?

Answers

When dividing decimals, you move them over until the denominator is a whole number, so 0.2 to 2. The divisor's decimal is also moved over, so 24.2 to 242.

Now we have 242/2. I think you can take it from there. 

To calculate 24.2 divided by 0.2, convert the division into a multiplication by recognizing that dividing by 0.2 is the same as multiplying by 5. Thus, 24.2 times 5 gives the result of 121.

To calculate the quotient of 24.2 divided by 0.2, you can follow these steps:

First, recognize that dividing by 0.2 is the same as multiplying by 5. This is because 1 divided by 0.2 equals 5 (since 0.2 is the same as 1/5).Therefore, you can convert the division problem into a multiplication one: 24.2 × 5.Finally, when you multiply 24.2 by 5, you get 121. This is your answer.

Alicia's mp3 player contains 1260 songs. Given that 35% of the songs are rock songs and 20% are rap songs, how many of the songs are other type of songs?

Answers

Answer:

 There are 567 of the songs are other.

Step-by-step explanation:

Since 55% of the songs are rock and rap, 45% of the songs are other.

To find 45% of 1260 we multiply by the decimal:

1260 x 0.45 = 567

The answer is 567

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: Rock and rap songs make 55% of the songs then the rest of the songs should make 45% of the total songs.

Thus we have 45% of 1260=567

Hence, The answer is 567

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The family members going are 4 mothers, 4 grand-mothers and 4 daughters. What will be the minimum number of tickets required?

Answers

Final answer:

The minimum number of tickets required for the family members is four because the individuals can be counted in multiple categories—each person can be a daughter, mother, and grandmother.

Explanation:

The question is asking for the minimum number of tickets required for a group consisting of 4 mothers, 4 grandmothers, and 4 daughters. To solve this problem, we need to consider how these individuals could be related to each other and overlap in these categories. In a possible scenario, each grandmother is also a mother, and each mother is also a daughter. Therefore, the minimum number of individuals who could cover all these roles is four: one individual who is a daughter, her mother (who is also a daughter to the next in line), her grandmother (who is the mother of the previous person), and her great-grandmother (who fills the role of the fourth grandmother).

Final answer:

To determine the minimum number of tickets required for a group consisting of 4 mothers, 4 grandmothers, and 4 daughters, we have to identify overlapping roles within a three-generation family structure. By recognizing that each person can hold multiple roles, we find that a minimum of 3 tickets is required for this group.

Explanation:

The question asks to calculate the minimum number of tickets required for a group including 4 mothers, 4 grandmothers, and 4 daughters. We need to figure out the possible relationships and overlaps in this family structure.

Let's consider a scenario where each grandmother is also a mother, and each mother is also a daughter. This is possible if we are speaking about a family consisting of three generations: the oldest generation (the grandmothers who are also mothers to the middle generation), the middle generation (the mothers who are also daughters to the oldest generation and mothers to the youngest generation), and the youngest generation (the daughters). If we set it up this way, we can have the smallest number of individuals who meet all the necessary conditions.

Here is the step-by-step explanation of the generational setup:

First generation: 1 grandmother who is also a mother.Second generation: Her daughter, who is also a mother.Third generation: Her daughter, who is not a mother.

Thus, the three women in this family structure account for all 4 grandmothers, 4 mothers, and 4 daughters. Therefore, the minimum number of tickets required for this group would be 3.

Jaime put 3 oranges on each tray how many oranges does he put on 5 trays

Answers

Jamie puts 15 on 5 trays
For this question what you have to do is multiple 3×5 which that is 15

Julie spends $5.62 at the store. Micah spends 5 times as much as Julie. Jeremy spends $6.72 more than Micah. How much money does each person spend?
Julie: $5.62
Micah:
Jeremy:


Explain how you can use a quick picture to find 3 × 2.7



Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.68 inches. If she needs 1,000 ribbons, what is the length of ribbon Sarah needs?


Adam is carrying books to the classroom for his teacher. Each books weighs 3.85 pounds. If he carries 4 books, how many pounds is Adam carrying?

Answers

micah spent 28.10 dollars, Jeremy spent 34.82 dollars

The perimeter of Dawna's new flat screen television is 112 inches. The ratio of its length to width is 4:3. Write and solve an algebraic equation to determine the dimensions of the television.

Answers

(112/4)/4=l
(112/4)/3=w
Length: 7
Width: 9.3
It may not be the answer that you're looking for but hopefully you'll get an idea going. This question stumped me for some reason.

if I used 23.8 liters over 28 days how many milliliters did i use each day

Answers

23.8L/28=.85Lx1000ml=850ml
U use 850 ml 850 850

Which operations are the most efficient to use to solve the problem and what is the solution? The Jackson neighborhood has a community garden that has an area of 672 square yards. The width of the garden is 21 yards. The length of the Nguyen neighborhood garden is 15 yards longer than the length of the Jackson garden. What is the length of the Nguyen neighborhood garden? Choose exactly two answers that are correct.
A. Division and Addition
B. Multiplication and Addition
C. 330 yds
D. 47 yds

Answers

If the area of the Jackson neighborhood garden is 672 yards, and the width of the garden is 21, that means that length of the garden is 32. (672 divided by 21 is 32) Then, since the Nguyen neighborhood garden is 15 yards longer than the length, that means you add 15 to 32, so that your answer is 47.


So first off, is D, and to get there we did the most important part with division and addition, which is A.


Final: D and A.

The early version of a cell phone was 90 mm thick.The current version is about 10 percent thinner. How thick is the newer version?

Answers

the new version is 9 mm thick because the earlier version was 90 so you got to multiply 90 times .10 equals 9 mm . Simple .

a piece of wood has a width of 5 cm and a hight of 10 cm its volume is 100 cm3 what is the length of the wood

Answers

 5 x 10 x l =100 
50 x l =100 
l= 2
 5 x 10 x l =100 
50 x l =100 
l= 2

The table represents a function.
x: 0, 2, 3, 5, 0
y:−5, 1, 4, 10
Complete the statement by selecting from the drop-down menu. The rate of change in the function ​ y=x−6 ​ is (ANSWERS: Greater Than, Less Than, Equal To) the rate of change of the function represented in the table.

Answers

The answer is less than :)

Answer:

less than

Step-by-step explanation:

Estimate the product of 204 and 0.46 Explain what method of estimation you used and why it works.

Answers

The estimated product would be 100.00 because if u estimate 0.49 to 0.50 and 204 to 200, multiply it and u would get 100.00

For sake of convenience, you can multiply them by 10,

then it will become, 2040 * 46 =93840

Now, you should divide that by 100, = 93840/100 = 93.84

Did you like that idea??

If not, you can approach for basic one...but then you have to be careful about decimal..ok

A laser printer prints 360 pages in 30 minutes. What is the printing rate in pages per minute

Answers

It prints 12 pages per minute
the answer would be 12 pages per minute

a 24-oz bottle of water costs $1.68 what is the cost per ounce?

Answers

the cost of each bottle is 0.84

Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closing the account.
If no money was deposited into or withdrawn from the account, for how many years was the money in the account?
Round your answer to the nearest whole year.

Answers

we know that

The simple interest formula is equal to

[tex]I=P(rt)[/tex]

where

I is the amount in interest

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=?\ years\\ P=\$1,300\\ I=\$299\\r=0.0575[/tex]

substitute in the formula above  and solve for t

[tex]299=1,300(0.0575)(t)[/tex]

[tex]t=299/[1,300(0.0575)][/tex]

[tex]t=4\ years[/tex]

therefore

the answer is

[tex]4\ years[/tex]


Bonita's money was in the account for approximately 5 years.

Step 1: Define Variables and Formula

Let:

P represent the principal amount deposited (initial amount - $1300).r represent the annual interest rate (5.75% - we can convert this into a decimal by dividing by 100: 0.0575).t represent the number of years the money was in the account (unknown).I represent the total interest earned ($299).

The formula for simple interest is:

I = P × r × t

Step 2: Apply the Formula to Known Values

We are given the values for I, r, and P (we can solve for P using the given information). Let's plug these values into the formula:

$299 = P × 0.0575 × t

Step 3: Solve for the Unknown (t - Number of Years)

To isolate t (the number of years), we can divide both sides by the product of P and r. However, we don't have the value of P yet.P needs to be the initial principal amount before any interest is earned. Since the question states Bonita deposited $1300, and we're calculating the interest earned, P represents the principal amount before interest.

Step 4: Find the Principal Amount (P)

The total amount Bonita received when closing the account is the principal amount (P) plus the interest earned (I). We can represent this as:

P + I = $1300 (deposit amount) + $299 (interest)P = $1300 + $299P = $1599 (This is the principal amount before interest)

Step 5: Solve for the Number of Years (t)

Now that we know P, we can plug it back into the equation along with the interest rate (r) to solve for t:

$299 = $1599 × 0.0575 × tt ≈ 5.49 (We haven't rounded yet)

Step 6: Round the Answer (Nearest Whole Year)

The question asks for the number of years rounded to the nearest whole year. Since the decimal part (0.49) is closer to 0 than 1, we round down.

Jack was planting a tree .he has to dig a hole that was 3 feet deep for every 5 feet of tree hight .How deep should he dig the whole for a tree that is 17 feet high

Answers

Question:

Jack was planting a tree .he has to dig a hole that was 3 feet deep for every 5 feet of tree hight .How deep should he dig the whole for a tree that is 17 feet high

Answer:

6ft

Step-by-step explanation:

well, you have to gig 3 feet for every 5 feet

and 5 can go into 17 three times. and so you take

six away from 15.

srry if yo didn't understand the Step-by-step explanation i explaned it as best as i could.

:)

The depth of the dig of a tree that is 17 feet high will be 10.20 feet.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Jack was establishing a tree. He needed to dig an opening that was 3 feet deep for every 5 feet of tree height.

The ratio of the length of the tree and the depth of the dig will remain constant.

Let 'd' be the depth of the dig for 17 feet tree. Then the equation is given as,

5 / 3 = 17 / d

d = (17 x 3) / 5

d = 51 / 5

d = 10.2 feet

The profundity of the dig of a tree that is 17 feet high will be 10.20 feet.

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How many times does 8 go into 153

Answers

8 goes into 153 19 times.
To find out you have to divide 153 and 8 that equals 19 remainder 1

a machine makes 70 springs each hour. How many springs will the machine make in 8 hours?

Answers

It would be 560 springs per hour because 70 times 8 equals 560

The machine makes 560 springs in 8 hours if it makes 70 springs each hour.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Springs made by the machine in 1 hour = 70.

To find the number of springs made by machine in 8 hours,

Use ratio property,

In 1 hour machine makes = 70 springs

In 8 hours machine makes = 70 x 8 = 560 springs

Machine makes 560 springs in 8 hours.

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