At Pages Aplenty book store, the more books you buy, the more books you get! With the special deal, a customer gets 2 free books for every 7 purchased books. Larry purchased 21 books. How many free books did Larry get?

Answers

Answer 1

Answer:

6

Step-by-step explanation:A customer gets 2 free books for every 7 purchased books. Larry purchased 21 books, and you need to find how many free books he got. Write a proportion.

2 free books

7 purchased books

=

? free books

21 purchased books

Compare the denominators.

2 free books

7purchased books

=

? free books

21purchased books

To get from 7 to 21, multiply by 3. Multiply the numerator and denominator by 3 to find the number of free books Larry got.

2 free books3

7 purchased books3

=

6free books

21 purchased books

Larry got 6 free books.

Answer 2

Lerry will get 6 free books . Because she gets 2 free books for every 7 purchased books.

What exactly is simplification?

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

For every 7 books a consumer buys, they receive 2 free books. Larry bought 21 books.

If the larry bought 21 book.She get 6 book as;

On the purchased of 7 book then on 14 book and then on the 21 book.

The free books did Larry get is found as;

⇒2+2+2

⇒6

Hence Lerry will get 6 free books .

To learn more about the simplification, refer to:

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Related Questions

The measure of angel B is (3x - 4)º and the measure of angel D is (2x - 6)°. What are the measures of angles B and D?​

Answers

Answer:

b=110 d=70

Step-by-step explanation:

Answer:

110 70

Step-by-step explanation:

Johnny made 8 benches in 2 hours. At this rate, how
many benches will he make in 9 hours.



plzzzzzzzzzz!!!!!!!! help on thissss

Answers

Answer:

36

Step-by-step explanation:

4 benches in 1 hour

? benches in 9 hours

36 benches

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

36 is the answer :)

Step-by-step explanation:

At Green Island Farms the annual Turkey Trot is being held. This year’s contestants are Tom Turkey, Gary Gobbler and Donny Drumstick. The turkeys chase little RC cars loaded with feed. The buzzer sounds and the turkeys are off. Gary Gobbler chases his RC car trying to eat that sweet turkey feed for 15 feet before he manages to side swipe the RC car and knock it on its side. All the feed spills out and Gary Gobbler gobbles it down. That silly turkey happily eats his food for 1.75 seconds. A mouse comes out of the hay bale and tries to join Gary Gobbler in his feasting. But Gary Gobbler is scared of mice so when he sees the mouse he freaks out and tears down the racetrack.

Write a similar story for Tom Turkey making sure to include the different segments of the graph.

Answers

Answer:

The company is expected the company will receive

Find the LCD of the two fractions 1/6 and 1/5

A. 6

B. 5

C. 30

D. 11

Answers

Answer:

C. 30 is the correct answer.

Step-by-step explanation:

A 0.8-liter bottle of Mexican wine costs 100 pesos. At that price, how much would a halfgallon jug of the same wine cost in dollars? Mexican peso Dollars per foreign: 0.07855 Foreign per dollar: 12.73

Answers

Answer:

$11.83

Step-by-step explanation:

1 gallon = 3.785 litres

0.5(1/2gallon) = x liters

x = 0.5 × 3.785 liters

x = 1.89271 liters

0.8 liter = 100 pesos

1.89271 liters = x pesos

x = 1.89271 × 100/0.8

x = 236.58875 pesos

Converting to dollars

1 mexican peso = $0.050

236.58875 pesos = x

x = 236.58875 × $0.050

x = $11.8294375

Approximately = $11.83

A half gallon jug of the same wine cost in dollars $11.83

what is the image of (6,-6) after a dilation by a scale factor of 4 centered at the origin

Answers

9514 1404 393

Answer:

  (24, -24)

Step-by-step explanation:

Dilation centered at the origin multiplies each coordinate by the dilation factor.

  image = 4 × (6, -6)

  image = (24, -24)

What's the largest odd number you can make using all four digits 4, 5, 3, 6

Answers

Answer:

6543

Step-by-step explanation:

Not much to explain lol

Required Answer:-

Here,

Odd numbers are 3 and 5.

5>3

The largest odd number =6543

Write the given trinomial if possible as a square of a binomial or as an expression opposite to a square of a binomial: 15ab-9a^2-6 1/4b^2

Answers

Answer:

[tex] - \bigg(3a - \frac{5}{2} b) \bigg)^{2} [/tex]

Step-by-step explanation:

[tex]15ab-9a^2-6 \frac{1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\ \\ = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2 \\ \\ = - \{ - 15ab + (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 \} \\ \\ = - \{ (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 - 15ab \} \\ \\ = - \bigg(3a - \frac{5}{2} b \bigg)^{2} [/tex]

Sum of 5 and 9 less than 17

Answers

Answer:

15?

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

5+9=14

14-17=-3

What is the result of 4 divided by one-half? A number line going from 0 to 4. 2 8 12 16

Answers

Answer:

2

4/.5 = 2

Therefore, your answer is 2, or A. Hope this helped!

Answer:

the answer is B) 8

Step-by-step explanation:

hope this helped sorry if it didn't and if it's wrong sorry for that also.

If a farmer is able to get 120 eggs from 20 chickens, how many eggs is the farmer able to get per chicken?

Answers

Answer:

6 eggs per chicken

Step-by-step explanation:

hdjdjidbdudbddjow0s

Answer:

6

Step-by-step explanation:

pls help i have pictures pls explain how you get your answer

Answers

Slope: (y2-y1)/(x2-x1)
The points: (0,-5) (4,-2)
(-2 + 5)/(4-0) = 3/4
The slope is 3/4

Another way to do it is rise/run
Draw a triangle from the two points
The vertical is rise, horizontal is run
3 units over 4 units
The slope is confirmed 3/4

Answer:

0.75

Step-by-step explanation:

To find the slope of the graph, you have to find the rise and the run by any two points on the graph. (I'm going to calculate using the two blue dots as shown in the picture)

[tex]\frac{rise}{run}[/tex] = [tex]\frac{(-2)-(-5)}{4-0}[/tex]

           = [tex]\frac{-2+5}{4}[/tex]

           = [tex]\frac{3}{4}[/tex]

           = 0.75

Graph the line with the equation y=-1/4x+1

Answers

On the y axis plot a point at 1. Then go down 1 and to the right 4. Hope that helps

Emile is a long-distance runner. He runs at a constant speed of six miles/hour. His goal is to run nine miles on each practice run, but he normally runs a distance that varies three miles more or less than that. Select the correct answer from each drop-down menu. The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_____. For each practice run, the minimum number of hours Emile runs is______ and the maximum number of hours he runs is ______.

Answers

Answer:

[tex]t=\dfrac{9\pm 3}{6}[/tex]

[tex]1\ \text{hour}[/tex]

[tex]2\ \text{hour}[/tex]

Step-by-step explanation:

s = Speed of Emile = 6 miles/hour

d = Distance traveled by Emile = [tex](9\pm 3)\ \text{miles}[/tex]

Time taken to find the minimum and maximum time Emile ran for is

[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{9\pm 3}{6}[/tex]

The required equation is [tex]t=\dfrac{9\pm 3}{6}[/tex]

The time taken is

[tex]t=\dfrac{9-3}{6}\\\Rightarrow t=\dfrac{6}{6}\\\Rightarrow t=1\ \text{hour}[/tex]

The minimum number of hours Emile runs is 1 hour.

[tex]t=\dfrac{9+3}{6}\\\Rightarrow t=\dfrac{12}{6}\\\Rightarrow t=2\ \text{hour}[/tex]

The maximum number of hours Emile runs is [tex]2\ \text{hour}[/tex].

Answer:

|6x – 9| = 3

1 Hour

2 Hours

Step-by-step explanation:

The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_|6x – 9|= 3_. For each practice run, the minimum number of hours Emile runs is__1 hour_ and the maximum number of hours he runs is _2 hour.

If x = 3 + 2√2, then the value of (x - 1/x) is

a) 4√2
b) 2√4
c) 8

Answers

Your answer is: A. 4/2

Hope this helps and happy holidays!!

9) Use the spinner below to answer the following questions

What is the Expected Value of a single spln?

Answers

Answer:

is that paper or did you write on the screen?

Miguel has $25. He spends $6.75 on a movie ticket, $3.70 for snacks, and $2.00 for bus fare each way.

How much money does Miguel have left?

Miguel has $_____
left.

Answers

Answer:

$12.55

Step-by-step explanation:

25-6.75=18.25

18.25-3.70=14.55

14.55-2=12.55

Miguel has $12.55 left

Which is the better buy?
7-pound bag of barley for $6.72
312-ounce bag of barley for $28.08

Answers

Answer:

7-pound bag of barley for $6.72 is a better buy.

Step-by-step explanation:

7-pound bag of barley for $6.72

6.72 : 7 = 0.96

check your work: 0.96 x 7 = 6.72

so for the first offer you will be paying $0.96 per pound

312-ounce bag of barley for $28.08

1 pound = 16 ounces

312 ounces = 19.5 pounds

28.08 : 19.5 = 1.44

for the second offer you will be paying $1.44 per pound of barley. 7-pound bag of barley for $6.72 is a better buy because you will be less for each pound.

hope this helps!

Answer:

7-pound bag of barley for $6.72

Step-by-step explanation:

16.9 and 1.7 and 0.17 and 2.0 added up

Answers

Answer:

20.77

Step-by-step explanation:

Answer:

20.77

Step-by-step explanation:

Simplify  16.9+ 1.7  to  18.6

18.6 +0.17+2.0

Simplify  18.6+0.17 to  18.77

18.77+2.0

Simplify.

ANddddd the answer is

20.77

What is i2=-1 math test

Answers

Answer:

Your answer is: ↓

If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]

If you are trying to figure if that equation is determined T/F: The answer is T.

If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]

Step-by-step explanation:

Hope this helped : )

A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is _____ as large as the principal times the monthly interest rate.

Answers

Answer:

at least

Step-by-step explanation:

A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is AT LEAST as large as the principal times the monthly interest rate.

The correct word that missing in the statement is at least.

Given that, a statment is given we have to determine which word is missing the statment.

What is the investment?

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.

The monthly payment being at least equal to the principal multiplied by the monthly interest rate is a reasonable estimate for a long-term loan with a moderate or high-interest rate. So the correct statement is given as,
"A fairly good estimate for a long-term loan with a moderate or high-interest rate is that the monthly payment is at least as large as the principal times the monthly interest rate."

Thus, the correct word that missing in the statement is at least.

Learn more about investments here:

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What is the value of a? Please solve this with the law of sine

Answers

Answer:

what chap is this

Step-by-step explanation:

Im only have 10 minutes please. Is math​

Answers

Answer: A
Explanation do Pythagorean theorem and find the third side. Then do adjacent/hypotenuse.
Darling, it’s A. Have noice night/ day

What is the cube root of 512m^12n^15?
-16m^4n^5
-8m^5n^4
8m^4n^5
16m^5n^4

Answers

Answer: 8m ^ 4n ^ 5

Ryanne is 14. Her brother’s age is three more than half her age. How old is her brother?

Answers

Answer:

Her brother is 10 years old

Step-by-step explanation:

14 ÷ 2 = 7

7 + 3 = 10

The answer is 10

What is the quotient in simplest form?

Three-fourths divided by StartFraction 5 Over 16 EndFraction
StartFraction 15 Over 64 EndFraction
StartFraction 15 Over 16 EndFraction
2 and two-fifths
2 and StartFraction 8 Over 20 EndFraction

Answers

Answer:

2 and 2/5

Step-by-step explanation:

Trust me on this, also can I have brainlest please? Hope you do well!

2 and two fifths i took the test 6 years ago


I need the missing length help (10 points )

Answers

Answer:

5.38516480713

Step-by-step explanation:

a^2+b^2=c^2

5^2+2^2=c^2

25+4=c^2

c^2=square root of 29

c=5.38516480713

What is the equation in slope-intercept from of the line that passes through the point (3, 1) and is parallel to the line represented by y = 2.4x + 6.5?

Answers

Parallel = same slope
Y = 2.4x + b
Plug in the point to find b
1 = 2.4(3) + b
1 = 7.2 + b
b = -6.2
Final equation: y = 2.4x - 6.2

Solve the system of equations.



−2x+5y =−35
7x+2y =25

Answers

Answer:

The equations have one solution at (5, -5).

Step-by-step explanation:

We are given a system of equations:

[tex]\displaystyle{\left \{ {{-2x+5y=-35} \atop {7x+2y=25}} \right.}[/tex]

This system of equations can be solved in three different ways:

Graphing the equations (method used)Substituting values into the equationsEliminating variables from the equations

Graphing the Equations

We need to solve each equation and place it in slope-intercept form first. Slope-intercept form is [tex]\text{y = mx + b}[/tex].

Equation 1 is [tex]-2x+5y = -35[/tex]. We need to isolate y.

[tex]\displaystyle{-2x + 5y = -35}\\\\5y = 2x - 35\\\\\frac{5y}{5} = \frac{2x - 35}{5}\\\\y = \frac{2}{5}x - 7[/tex]

Equation 1 is now [tex]y=\frac{2}{5}x-7[/tex].

Equation 2 also needs y to be isolated.

[tex]\displaystyle{7x+2y=25}\\\\2y=-7x+25\\\\\frac{2y}{2}=\frac{-7x+25}{2}\\\\y = -\frac{7}{2}x + \frac{25}{2}[/tex]

Equation 2 is now [tex]y=-\frac{7}{2}x+\frac{25}{2}[/tex].

Now, we can graph both of these using a data table and plotting points on the graph. If the two lines intersect at a point, this is a solution for the system of equations.

The table below has unsolved y-values - we need to insert the value of x and solve for y and input these values in the table.

[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & a \\ \cline{1-2} 1 & b \\ \cline{1-2} 2 & c \\ \cline{1-2} 3 & d \\ \cline{1-2} 4 & e \\ \cline{1-2} 5 & f \\ \cline{1-2} \end{array}[/tex]

[tex]\bullet \ \text{For x = 0,}[/tex]

[tex]\displaystyle{y = \frac{2}{5}(0) - 7}\\\\y = 0 - 7\\\\y = -7[/tex]

[tex]\bullet \ \text{For x = 1,}[/tex]

[tex]\displaystyle{y=\frac{2}{5}(1)-7}\\\\y=\frac{2}{5}-7\\\\y = -\frac{33}{5}[/tex]

[tex]\bullet \ \text{For x = 2,}[/tex]

[tex]\displaystyle{y=\frac{2}{5}(2)-7}\\\\y = \frac{4}{5}-7\\\\y = -\frac{31}{5}[/tex]

[tex]\bullet \ \text{For x = 3,}[/tex]

[tex]\displaystyle{y=\frac{2}{5}(3)-7}\\\\y= \frac{6}{5}-7\\\\y=-\frac{29}{5}[/tex]

[tex]\bullet \ \text{For x = 4,}[/tex]

[tex]\displaystyle{y=\frac{2}{5}(4)-7}\\\\y = \frac{8}{5}-7\\\\y=-\frac{27}{5}[/tex]

[tex]\bullet \ \text{For x = 5,}[/tex]

[tex]\displaystyle{y=\frac{2}{5}(5)-7}\\\\y=2-7\\\\y=-5[/tex]

Now, we can place these values in our table.

[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]

As we can see in our table, the rate of decrease is [tex]-\frac{2}{5}[/tex]. In case we need to determine more values, we can easily either replace x with a new value in the equation or just subtract [tex]-\frac{2}{5}[/tex] from the previous value.

For Equation 2, we need to use the same process. Equation 2 has been resolved to be [tex]y=-\frac{7}{2}x+\frac{25}{2}[/tex]. Therefore, we just use the same process as before to solve for the values.

[tex]\bullet \ \text{For x = 0,}[/tex]

[tex]\displaystyle{y=-\frac{7}{2}(0)+\frac{25}{2}}\\\\y = 0 + \frac{25}{2}\\\\y = \frac{25}{2}[/tex]

[tex]\bullet \ \text{For x = 1,}[/tex]

[tex]\displaystyle{y=-\frac{7}{2}(1)+\frac{25}{2}}\\\\y = -\frac{7}{2} + \frac{25}{2}\\\\y = 9[/tex]

[tex]\bullet \ \text{For x = 2,}[/tex]

[tex]\displaystyle{y=-\frac{7}{2}(2)+\frac{25}{2}}\\\\y = -7+\frac{25}{2}\\\\y = \frac{11}{2}[/tex]

[tex]\bullet \ \text{For x = 3,}[/tex]

[tex]\displaystyle{y=-\frac{7}{2}(3)+\frac{25}{2}}\\\\y = -\frac{21}{2}+\frac{25}{2}\\\\y = 2[/tex]

[tex]\bullet \ \text{For x = 4,}[/tex]

[tex]\displaystyle{y=-\frac{7}{2}(4)+\frac{25}{2}}\\\\y=-14+\frac{25}{2}\\\\y = -\frac{3}{2}[/tex]

[tex]\bullet \ \text{For x = 5,}[/tex]

[tex]\displaystyle{y=-\frac{7}{2}(5)+\frac{25}{2}}\\\\y = -\frac{35}{2}+\frac{25}{2}\\\\y = -5[/tex]

And now, we place these values into the table.

[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]

When we compare our two tables, we can see that we have one similarity - the points are the same at x = 5.

Equation 1                  Equation 2

[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]                 [tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]

Therefore, using this data, we have one solution at (5, -5).

12% of ___ shirts is 36 shirts

Answers

Answer: 3

Step-by-step explanation:

Answer:

300 shirts

Step-by-step explanation:

You can divide 12% by itself to find one percent, then divide the 36 shirts by 12 as well.

What you do to one side, you need to do to the other.

Now that we have our numbers after dividing (you should have 1% and 3 shirts) you can see what 100% would be. To do this you would multiply 1% by 100 and multiply 3 shirts by 100.

Now we know that 12% of 300 shirts is 36 shirts.

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