A textbook store sold a combined total of 209 history and math textbooks
in a week. The number of math textbooks sold was 75 less than the
number of history textbooks sold. How many textbooks of each type
were sold?

Answers

Answer 1

Answer:

67 math, 142 history

Step-by-step explanation:

lets say the number of math textbooks was x and the number of history textbooks is y. we have x+y=209 and x=y-75. we can plug the second equation into the first to get y-75+y=209. simplfy to get 2y=284 so y=142. since x=y-75, x=67


Related Questions

Suppose an annuity pays 7.0% annual interest, compounded annually. If you invest $3,000 every year for 5 years, what percentage of the balance in the account is interest earned?
Round your answer to the nearest hundredth of a percent.

Answers

Answer:

  13.05%

Step-by-step explanation:

The value of an ordinary annuity earning interest compounded annually is ...

  A = P((1 +r)^n -1)/r . . . . . interest rate r for n years on principal payments P

For this account, the balance after 5 years will be ...

  A = 3000((1 +.07)^5 -1)/0.07 = 3000·5.750739

The sum of payments is ...

  payment total = 3000·5

Then the amount of interest is ...

  3000·(5.750739 -5) = 3000·0.750739

and the fraction that is of the account balance is ...

  (3000·0.750739)/(3000·5.750739) × 100% ≈ 13.05%

About 13.05% of the balance is interest earned.

solve this equation: x/5+3=2

Answers

[tex]\frac{x}{5} +3=2\\\frac{x}{5} =-1\\x=-5[/tex]

Let me know if you need any clarification, I just don't have much to say on a simple question like this

It takes Evelyn, traveling at 36 mph, 45 minutes longer to go a certain distance than it takes Ricky traveling at 72 mph. Find the distance traveled.

Answers

The distance travelled by both Evelyn and Ricky is 45 miles

If Speed = dist/time, then;

dist = speed * time

We also know that both of them travel the same distance, so we equate the distance travelled to each other

36 * x+45 = 72 * x

36x + 1620 = 72x

72x - 36x = 1620

36x = 1620

x = 1620/36

x = 45 miles

learn more about distance covered here https://brainly.com/question/17894416

Simple problem pls help

Answers

Ok done. Thank to me:>

Translate the following word phrase into an algebraic expression: Nine times a number y.

Answers

Answer:

9×y

Step-by-step explanation:

the

answer

of

the

given

is 9y

PLEASE ANSWER THESE ASAP WITHIN THIS HOUR!
80 is what percent of 400?
a. Base
b. Rate
c. Percentage

16% of what number is 56?
a. Base
b. Rate
c. Percentage

16% of what number is 56?
a. Base
b. Rate
c. Percentage
Thank you for your help <33

Answers

Answer:

♦ 80 is what percent of 400?

a. Base

b. Rate

c. Percentage

Answer: b. Rate

Solution:-

80 = x% of 400x% × 400 = 80x/100 × 400 = 804x = 80x = 80/4x = 20

80 is 20% of 400 ( the rate is the percent)

♦ 16% of what number is 56?

a. Base

b. Rate

c. Percentage

Answer: a. Base

Solution:-

16% of x = 5616/100 × x = 5616x/100 = 5616x = 56 × 100x = 5600/16x = 350

16% of 350 is 56 (The base is the amount which you're taking a percent of)

Solving an Inequality
Quick
Check
15
To solve the inequality
m/-7<14, what should be done to both sides?
O Divide both sides by 14.
Divide both sides by -7.
O Multiply both sides by 14.
O Multiply both sides by - 7

Answers

Answer:

D. Multiply both sides by -7

Step-by-step explanation:

So solving would look like this

m/-7 < 14

m > -2

Remember when multiplying by a negative the sign flips, hope that helps :)

7. Fill in the columns in the following table. What quantity should
a profit-maximizing firm produce? Verify your answer with
marginal reasoning.

Answers

Answer:

The rule for a profit-maximizing perfectly competitive firm is to produce the level of output where Price= MR = MC, so the raspberry farmer will produce a quantity of 90, which is labeled as e in Figure 4 (a). Remember that the area of a rectangle is equal to its base multiplied by its height.

Original price of an SUV $12,000.00 Tax:5.3%

Answers

The tax would be $636 and the total cost would be $12,636 if that's what you're asking.

What is the value of y in y = log_64 64?

Answers

Step-by-step explanation:

if I understand this correctly as logarithm of 64 to the base of 64, then the answer is clearly 1

64¹ = 64.

A clothing company makes a profit of $2.3 million. This is $4.1 million more than last year. What was the profit last year?

Answers

Answer:

-1.8 million. This means that the business likely spent a lot on production and generated very little sales during the first year.

Step-by-step explanation:

2.3 - 4.1= -1.8

URGENT WILL GIVE BRAINILY
Alex drives at a speed of 60 miles per hour. How long will it take to drive 330 miles?​

Answers

Answer:

5.5 hours

Step-by-step explanation:

time = distance/speed

t = 330/60

t = 5.5 hours

Can anybody answer this for me?

Answers

[tex]\\\text{Given that,}\\\\(x_1 , y_1) = (5,6) ,~~ (x_2, y_2) = (-5,-4)\\\\\text{Slope},~m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-4-6}{-5-5} = \dfrac{-10}{-10} = 1[/tex]

What is the y-intercept of the function /(x) = -2/9x + 1/3

Answers

Answer:

Step-by-step explanation:

f(x)= -2/9x + 1/3 = -2/9(0) + 1/3 = 0 + 1/3= 1/3

A house has increased in value by 32% since it was purchased. If the current value is 561000 what was the value when it was purchased?​

Answers

Answer:

$425000

Step-by-step explanation:

561000*100/132=425000

1.)Which of the following is a linear inequality in two variables?
a. 3x≤16
b. 3m-4m>5
c. 9q+4<12
d. 11+2t ≥ 3?​

Answers

[tex] \large╚»★«╝ { \mathcal{Answer }}╚»★«╝[/tex]

The Correct option among them is B

[tex] \sf3m - 4n > 5[/tex]

_____________________________________

The other options have one variable each, but according to the given question there should be two variables in the inequality.

The only choice satisfying the conditions is Option B

having two variables in it ( that is "m" and "n" )

[tex] ꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]

Maria, Trey, and David sent a total of 65 text messages over their cell phones during the weekend. David sent 2 times as many messages as María, Maria sent 5
fewer messages than Trey. How many messages did they each send?

Answers

Answer:

David= 30

Maria= 15

Trey= 20

Step-by-step explanation:

If David sent 30 messages, then half as as many as that would be 15, the amount that Maria sent. 5 more than what Maria would be what Trey sent, 20.

10% markdown of $543.20

Answers

Answer:

5.Math is a very different one that

Ok

Exit
Lin wants to bike of a mile. She has already biked of a mile. How much farther does she have to bike?
Simplify your answer.

Answers

She does not have to bike any further as she has met her goal, yet if she wants she can continue


Find (- 18) + (-25) + 13.
-56
20
-30
-6

Answers

Answer: -30

Step-by-step explanation:

i need help on this math problem

Answers

The answer is A, it’s the only one that makes sense
It is number a so click on number A

Whalen recorded the amount of money people spent for gasoline to the nearest dollar. Which type of graph would be the most appropriate to illustrate Whalen’s information?

Answers

Answer:

c :)

Step-by-step explanation:

i guessed and got it right <3

A random number generator picks a number from 6 to 66 in a uniform manner. Round answers to 4 decimal places when possible.


The mean of this distribution is =

The standard deviation is =

The probability that the number will be exactly 19 is P(x = 19) =

The probability that the number will be between 28 and 46 is P(28 < x < 46) =

The probability that the number will be larger than 48 is P(x > 48) =

P(x > 17 | x < 62) =

Find the 49th percentile =

Find the maximum for the lower quartile =

Answers

Answer:last one

Step-by-step explanation:

A random number generator picks a number from 6 to 66 in a uniform manner, its resultants are  mathematically given as

X=36[tex]\sigma=5[/tex]p(x=19)=0.2167P(28 < x < 46) =0.3 P(x > 48)=0.3P(x > 17 | x < 62) =0.75k=29.4h=15

What is the mean of this distribution?

Generally, the equation for Mean is mathematically given as

[tex]X=\frac{a+b}{2}\\\\Therefore\\\\X=\frac{6+66}{2}[/tex]

X=36

b)

Generally, the equation for standard deviation is mathematically given as

[tex]\sigma=\sqrt{\frac{b-a}{12}^2}\\\\Therefore\\\\\sigma=\sqrt{(\frac{66-6}{12})^2}\\\\\sigma=\sqrt{25}\\\\[/tex]

[tex]\sigma=5[/tex]

c)

The probability that the number will be exactly 19

[tex]p(x=19)=\frac{19-6}{66-6}[/tex]

p(x=19)=0.2167

d)

The probability that the number will be between 28 and 46 is P(28 < x < 46)

[tex]P(28 < x < 46) =\frac{46-6}{66-6} -(\frac{28-6}{66-6})[/tex]

P(28 < x < 46) =0.3

e)

The probability that the number will be larger than 48 is P(x > 48)

[tex]P(x > 48)=1-P(x\leq 48)[/tex]

Therefore

[tex]P(x > 48)=1-(\frac{48-6}{66-6})[/tex]

P(x > 48)=0.3

f)

[tex]P(x > 17 | x < 62) = P(x\leq 62-P(x leq 17))[/tex]

Therefore

[tex]P(x > 17 | x < 62) =\frac{62-6}{66-6}-(\frac{17-6}{66-6})[/tex]

P(x > 17 | x < 62) =0.75

g)

The 49th percentile

[tex]p(x\leqk=k.(1/66-6))[/tex]

Therefore

[tex]0.49=k*(1/(66-6))[/tex]

k=29.4

h)

The maximum for the lower quartile

P(xl)=h*1/60

0.25=h*1/60

h=15

Read more about probability

https://brainly.com/question/795909

#SPJ6

- Kerry multiplied 143.64 X 10 and got 14.364. Is Kerry's answer correct?
If not, tell what Kerry might have done incorrectly.

Answers

Is the wrong answer, the correct answer is 1,436.4

The figure below is a square with an area of 625 square centimeters. The length of a rectangle is 40% more than the length of the square. Find the length of the rectangle.

Answers

For a square:

A = s2, where s = side (the length and the width are the same)

625 = s2

±25 = s

length of rectangle = 1.4 · length of square

length of rectangle = 1.4(25)

length of rectangle = 35

A person needs to fill 10 water jugs with a hose. Filling the first 2 jugs has taken 3 minutes. How long to finish filling the remaining jugs?​

Answers

Answer:

15

Step-by-step explanation:

In an auditorium,10,200 people were seated in 12 rows. Find number of people in each row. ____________

Answers

Answer:

850 people

Step-by-step explanation:

10,200 people in 12 rows

÷ 12 on both sides:

[tex]\frac{10200}{12}[/tex] people in [tex]\frac{12}{12}[/tex] rows

[tex]850[/tex] people in [tex]1[/tex] row.

The final velocity V of an object

Answers

Answer:

The final velocity, V, of an object under constant acceleration can be found using the formula V2=v2+2as , where v is the initial velocity in meters per second, a is acceleration in meters per second, and s is the distance in meters.

Final velocity (v) of an object equals initial velocity (u) of that object plus acceleration a Final velocity (v) of an object equals initial velocity (u) of that object plus acceleration (a) of the object times the elapsed time (t) from u to v. of the object times the elapsed time t from u to v

what is the measure of x?

Answers

Answer:

Hello!

After reviewing the problem you have provided I have come up with the correct solution:

x= 9

Step-by-step explanation:

To come up with this solution you have to first realize that the smaller triangle is a proportionally scaled down version of the entire larger triangle! (I will show what I mean in a linked picture)

So after we have realized that the smaller triangle is a scaled down version of the larger one, we can then create a formula or ratio to calculate the value of the missing side of the larger triangle (being x+6=??).

To create the formula/ratio I divided 10inches by 4inches. Thus the larger triangle is 2.5 times larger than the smaller one.

I then use this ratio to figure out the missing length of the larger triangle by doing:

6inches x 2.5 = 15inches.

I then inputed the 15inches into the formula of the missing side:

x+6=15

Subtracted 6 from both sides to simplify, and came up with the solution!

x=9

Let me know if this helps!

Find the product.
-8x5y2 · 6x2y

-8x10y2

-8x7y3
-48x7y3

-48x10y2
Find the product.
(3a4 + 4)2

6a4 + 8

9a8 + 16
9a8 + 24a4 + 16

9a16 + 24a4 + 16

Answers

Answer:

4 better explanation inbox

Step-by-step explanation:

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