You buy 8 books for $44. Paperbacks are $4 and hardbacks are $8. How many of each type can you buy?

Answers

Answer 1
She purchased 5 paperbacks at $4 and 3 hardbacks at $8 for a total of $44.

h = number of hardback books
p = number of paperback books
h + p = 8
so
h = 8-p
.
4*p = price of paperbacks
8*h = price of hardbacks
4*p + 8*h = 44
.
substitute h = 8-p
.
4p + 8(8-p) = 44
4p +64 -8p = 44
-4p = -20
p = 5
h = 8-p
h = 3
.
check to be sure the values are right
4*5 = 20
3*8 = 24
20 +24 = 44

Related Questions

Solve the formula for the indicated variable.
B = qn + q, for n

Answers

Answer:

n=B-q/q

Step-by-step explanation:

The population of a city is increasing 4% per year and is now 7,200. If it continues to increase at the same rate, what will the population be after 3 years?

Answers

Answer:

A = 7200(1.04)^3

A = 8099

Step-by-step explanation:

is 9.40 equal to 9.4

Answers

Answer:

no

Step-by-step explanation:

if it was 9.04 it would

its not equal because 9.40 is 10^2 but 9.4 is 10^1

Sin A 4/5.

Find
COSA + tan A

Answers

Answer:

Step-by-step explanation:

The opposite side (the one not connected to A) = 4

The hypotenuse is 5

The adjacent side needs to be found for the cosine and the tangent.

a^2 + b^2 = c^2

a = opposite side = 4

b = adjacent side = ?

c = hypotenuse = 5

4^2 + x^2 = 5^2

16 + x^2 = 25          

x^2 = 25 - 16

x^2 = 9

x = sqrt(9)

x = 3

cos(A) = adjacent / hypotenuse = 3/5

Tan(A) = opposite / adjacent = 4/3

cos(A) + tan(A) = 3/5 + 4/3

cos(A) + tan(A) = 9/15 + 20/15 = 29/15

Given: SinA = 4/5

To find: CosA + TanA

Solution:
16/25 + Cos²A = 1 [Sin²A + Cos²A = 1]
Cos²A = 1 - 16/25
Cos²A = 25 - 16/25
Cos²A = 9/25
CosA = 3/5
We know that TanA = SinA/CosA
TanA = (4/5)/(3/5)
TanA = 4/3
CosA + TanA = 3/5 + 4/3 = 29/15

Please help me with A B and C

Answers

Answer:

b)A box from all 4 sides increases as the number increase

c)

Step-by-step explanation:

a+(n-1)d

a-first terms

d- difference

5+(n-1)4

5+4n-4

4n+1(the nth term)

so for 50th

its 4*50+1

Answer is 201 tiles

Hope this helps you :))

IT
17) Between which two consecutive whole numbers does the length of the diagonal
fall? The length of the diagonal is between
a) 3 and 4 b) 4 and 5
c) 5 and 6 d) 6 and 7
V 18

D
Ос
Od

Answers

Answer:

4 and 5, closer to 4

Step-by-step explanation:

hope that helps>3

A square vegetable garden has side lengths of 9 feet. You plant flowers i
the center portion of the garden, a square that has side lengths of 5
feet.You divide the remaining space into 4 equal sections and plant
tomatoes,onions, zucchini, and peppers. What is the area of the pepper
section?

Answers

Answer:

14 Sq ft

Step-by-step explanation:

9×9=81

5×5=25

81-25=56

56÷4=14

3.3(n-8)-n=1.2

Simplify! ::)

Answers

Answer:

n=12

Step-by-step explanation:

3.3(n-8)-n=1.2

Distribute

3.3n -26.4 -n = 1.2

Combine like terms

2.3n -26.4 = 1.2

Add 26.4 to each side

2.3n -26.4+26.4 = 1.2 +26.4

2.3n = 27.6

Divide each side by 2.3

2.3n/2.3 = 27.6/2.3

n=12

the solution to the equation is n = 12. Let's simplify the given equation step by step: [tex]\(3.3(n - 8) - n = 1.2\)[/tex]

Step 1: Distribute the 3.3 to the terms inside the parentheses:

[tex]\(3.3n - 3.3 \times 8 - n = 1.2\)[/tex]

Step 2: Perform the multiplication:

[tex]\(3.3n - 26.4 - n = 1.2\)[/tex]

Step 3: Combine like terms:

[tex]\(3.3n - n = 1.2 + 26.4\)\\\(2.3n = 27.6\)[/tex]

Step 4: Isolate n by dividing both sides by 2.3:

[tex]\(n = \frac{27.6}{2.3}\)\\\(n = 12\)[/tex]

So, the solution to the equation is n = 12.

To know more about equation:

https://brainly.com/question/8651602

#SPJ3

Easy for smart people

Answers

less than sign and answer A because, on the left you are multiplying 72 by a number less than 1, so the value goes down

Answer:

72 x 3/7 < 72

Step-by-step explanation:

72 x 3/7 = 30 6/7. Therefore 72 is the bigger number.

I hope this helps you out :).

Zachy plays a game. He earns and loses the following amounts of points throughout the entire game

-5
5
-5
-5
5
5

Answers

He has zero points and loses zero points

Explanation:
He loses 5 three times so 15
And the -5 is just him getting 5 points so
If he lost 15 points and the gains 15 point he has zero points

The smallest number when subtracted from the difference of the square of 29 and 22 gives a perfect square is​

Answers

Answer:

Your answer is 33.

step- by step :

29×29-22×22=841-484

= 357

Closest square of 18 which is 324.

So, 357-324= 33. ans.

Please explain why also, thank you :)

Answers

Answer:

decay

Step-by-step explanation:

The function is in the form

y = a (b)^x

a is the initial value and b is the growth or decay factor

When b < 1  it is decay

When b > 1 it is growth

Since b = .93 it is decay

PLEASE HELP ME! I am suck on this math assignment

Answers

Hey there! I'm happy to help!

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

QUESTION 18

Here is how you multiply a 2×2 matrix by a column vector (just one column matrix).

[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] *\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}ax&by\\cx&dy\\\end{array}\right][/tex]

Once you get that final matrix, you add the rows which will give you a final column vector. Let's do it with this question, as we are multiplying together the matrices A and v.

[tex]\left[\begin{array}{ccc}-1&4\\2&0\\\end{array}\right] *\left[\begin{array}{ccc}8\\6\\\end{array}\right] =\left[\begin{array}{ccc}-8&24\\16&0\\\end{array}\right] =\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex]

So, your answer is [tex]\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex].

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

QUESTION 14

We have this equation of an ellipse and we need to solve for y. When we have a more complex equation to solve you get rid of the things furthest from the variable you are solving for first and then you get closer and closer to it.

[tex]\frac{x^2}{25} + \frac{y^2}{16}=1[/tex]

We subtract [tex]\frac{x^2}{25}[/tex] from both sides.

[tex]\frac{y^2}{16}=1-\frac{x^2}{25}[/tex]

We multiply both sides by 16.

[tex]y^2=1-\frac{x^2}{25}*16[/tex]

We square root both sides.

[tex]y=[/tex] [tex]\sqrt{1-\frac{x^2}{25}*16[/tex]

We can take a four out of our root (because 16 is a perfect square so it can be simplified more).

y= [tex]4\sqrt{1-\frac{x^2}{25}[/tex]

And we take out 1/5 (which is the square root of 1/25).

y=± [tex]\frac{4}{5}\sqrt{1-x^2[/tex]

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

QUESTION 17

We see that Sea Slugs have 3/10 matches won, so they have won 30% of their matches.

From now on, they will be winning 2/3 of their games. Let's look at the answer options.

A. If they play 15 more games, they will win 10 of them. Our total matches will be 25 (our original 10+15). So, we will have 13/25, which is equal to 52%, so this is incorrect.

B. If they play 10 more games they win 6 2/3 games (like that makes any sense) for a total of 9 2/3 games out of 20. This is about 48%, so this is incorrect.

C. If they play 40 games, they are winning fractional games again. They win 29 2/3 games out of 50 total, which is about 59%, but not quite 60. This is also incorrect.

D. If they play 45 matches, they will win 30 games. Add the original 10 and you have 40 games. Our total is 55. 40/55 is about 73%, so they have passed that 60% threshold, so this is the correct answer.

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

QUESTION 16

Our question tells us that if we have two numbers x and y, and we add them, it has to be 24 or greater. By saying it can be equal to 24 or greater, we are going to be using a ≤ or ≥ sign. The opening of the arrow always faces the equal or greater quantity, and in this case it is x+y, so it will look like x+y≥24.

This eliminates answer choices B and D as they do not have the equal part on the inequality.

Product means to multiply, so it will be written as xy. It has to be less than 60, so in this case the greater quantity is 60, so the arrow will opening towards 60, so it will look like xy<60.

So, our final answer is A.

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

QUESTION 12

You can only multiply matrices if the number of columns in the first matrix is equal to the number of rows in the second. So basically the two interior numbers have to be the same (a,b) and (b,c). So, if we follow this, we get these answers:

2×2 times 2×1 YES

2×1 times 2×2= NO

3×3 times 3×1= YES

3×1 times 3×3= NO

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

Have a wonderful day and keep on learning! :D

Delores works weekends at the local coffee shop. Last weekend, she worked for 7.5 hours on Saturday and 8 hours on Sunday. If she earns $9 per hour, how much did she earn last weekend?

Answers

Answer:

So she earned 148 dollars and 50 cents or 148.5

Step-by-step explanation:

You are adding two rational numbers with different signs.How can you tell if the sum will be positive, Negative,or Zero

Answers

positive if the positive number is greater than the negative number. negative if the negative number is greater. 0 if the two numbers are opposites of each other. an example would be -5 + 5

PLZ HELPP
Q: Nitrates are organic compounds that are a main ingredient in fertilizers. When those fertilizers run off
into streams, the nitrates can have a toxic effect on
fish. An ecologist studying nitrate pollution in two
streams measures nitrate concentrations at 42 places on Stony Brook and 42 places on Mill Brook. The parallel dotplots display the data.


1. Explain what the dot above 12 in the Stony Brook graph represents.


Answers

By looking at the dot graph, we can see that the single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was 12 mg/L

To understand this, first I want to give a brief explanation of how these graphs work.

You know that the ecologist did study the Nitrate pollution at 42 places in two lakes.

Each of these 42 places is represented with a dot in the corresponding graph.  Now looking at the graph, the position of the dots represents the nitrate concentration (you can see it in the horizontal axis) on one of these 42 places (42 dots for 42 places).

So, having a single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was of 12 mg/L

If you want to learn more, you can read:

https://brainly.com/question/16354226

What time is shown on the clock?


Answers

Answer:

its 12.03

have a great dayy

Answer:

12:40

hope this will help you have a great day

The value of the 7 in 37,560 is blank the value of the 7 and 4,720

Answers

Answer:

The value of the 7 in 37, 560 is greater than the value of the 7 in 4, 720.

Step-by-step explanation:

In 37, 560, the value of 7 is 7, 000; in 4, 720, the value of 7 is 700.7, 000 > 700

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

HELP!! Use the properties of addition to simplify this expression. 6-8 +6f-2f​

Answers

Answer:

-2 + 4f

Step-by-step explanation:

6 - 8 + 6f - 2f​

2(3 - 4 + 3f -f)     [Distributive Property]

=> 2(-1 + 3f - f)

=> 2(-1 + 2f)

=> -2 + 4f

Answer:

4f-2

Step-by-step explan:

6-8+6f-2f

6-8+4f

4f-2

b) 20 labourers complete the construction of a building in 24 days. In how many days would 16 labourers complete the construction?​

Answers

Answer:

16 labourers complete the construction

in 30 days

Step-by-step explanation:

mark me as a brainlist answer

slove for w -22=4(w=2)-7w

Answers

ANSWER: w=10

because math

Find the least common multiple (LCM) of 6 and 10,
O A. 60
O B. 20
O C. 40
O D. 30

Answers

The answer is 30 I’m sure of it

25x^2-36x+9
with x=2

Answers

25x² - 36x +9, when x = 2

(25 × 2)² - (36 × 2) + 9

50² - 72 + 9

2 500 - 72 + 9

using BODMAS

2 500 + 9 - 72

2 509 - 72

= 2 437

Answer:

Step-by-step explanation:

25(2)^2-36(2)+9

25(4)-72+9

100-72+9

28+9

37

Please help me with this! Write the equation of the line in fully simplified slope intercept form. Explanation and answer please ^^

Answers

Answer:

y = -1/2x - 8

Step-by-step explanation:

y = -1/2x - 8

y=-1/2x-8 would be your answer

Write the following inequality in slope-intercept form.
10x + y > -1
Write your answer with y first, followed by an inequality symbol. Use integers, proper
fractions, and improper fractions in simplest form.

Answers

Answer:

y > - 10x - 1

Step-by-step explanation:

Given

10x + y > - 1 ( subtract 10x from both sides )

y > - 10x - 1 ← in slope- intercept form

Answer:

y > -10x - 1.

Step-by-step explanation:

10x + y > - 1

Subtract 10x from both sides:

y > -10x - 1.

Help! I’ll give you the brainly answer if you help!

Answers

Answer:

2,78,31,64,4-2,10-6,54,-97,-38,-8-7,-4-5,-11-1,-16

Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,-5) and (8,-8)

Answers

Answer:

4.2

Step-by-step explanation:

d=sqrt[(x1-x2)^2+(y1-y2)^2]

d=sqrt[(5-8)^2+(-5+8)^2]

d=sqrt[(-3)^2+(3)^2]

d=sqrt[9+9]

sqrt18=4.24

If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?

Answers

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].

Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:

[tex](8-4)(2+3)=(4)(5)=20[/tex]

Hence, the maintained product is [tex]20[/tex].

Thus, we have the following equation:

[tex](x-4)(y+3)=20[/tex]

Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:

[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]

When is ignorance delightful

Answers

IKWKWMWMWM EXACTLYYYYYY

Answer:

Ignorance, or a lack of knowledge, isn't usually viewed as a good thing. However, there may be situations when you're happier not knowing the truth. A common expression used to describe these situations is “Ignorance is bliss.” This phrase is an idiom, which is means that it isn't meant to be taken literally.

I am super late

In a bakery, 70% of the doughnuts are glazed. If glazed doughnuts account for 21% of all pastries in the bakery, what percent of all pastries in the bakery are doughnuts

Answers

Answer:

30%

Step-by-step explanation:

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