Dylan loves reading. He went to buy books from a bookstore. A school bag and 3 books cost $180. A school bag and 5 books cost $270. How much did each book cost?

Answers

Answer 1

School bag _ y

book _ x

system:

y+3x=180

y+5x=270

y=180-3x (and we put that instead of 'y' in the second equation)

(180-3x)+5x=270

180+2x=270

2x=90

x=45

so one book costs $45

and school bag:

y+3×45=180

y+135=180

y=180-135

y=45

Answer 2

Answer:

Each book costed 45$.

Step-by-step explanation:

Let x represent the price of a school bag and y represent the price of a book.

we get the following system of equations:

x+3y=180  (equation 1)

x+5y=270 (equation 2)

using equation 1: x=180-3y

then we substitute x in equation 2 in order to find y:

180-3y+5y=270

180+2y=270

2y=270-180=90

y=90/2=45

and we know that y represents the price of a book, so each book costs 45$.


Related Questions

You select 32 marbles from a bag. The results are as follows: 6 blue marbles, 5 green marbles, 4 red marbles, 8 white marbles, and 9 yellow marbles. Find P(not green).

Answers

Answer:

19%, 13% 25% 28%

Step-by-step explanation:

6/32=

19%

5/32=

16%

4/34=

13%

8/32=

25%

9/32=

28%

PLS HURRY GIVING BRAINLIEST
(05.02)Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work. Parallelogram with base of 15 feet, height of 10 feet, and triangular base of 2 feet.

Answers

Answer:

150Ft^2

Step-by-step explanation:

The area of a parallelogram is A=BH where B is base length and H is height. I'm not sure why there is information about a triangular base, maybe an illustration would help. But with the information provided, the base times  height is equal to 150 Ft^2. Check out the Kahn Academy video for a better explanation  

the answer is 150^2 because the formula is A=bh which stands for Area=base X height and since the base is 15 and height is 10, you would do 15x10 which equals 150^2

Find the surface area, in square inches, of a cube whose volume is 8 in³.

Answers

Answer:

24 in^2

Step-by-step explanation:

common math

Answer:

Surface area of cube is 24 in²

Step-by-step explanation:

In this question we have given volume of cube that is 8 in³. But we know that volume of cube is a³. So ,

[tex] \implies \: a {}^{3} = 8[/tex]

Now ,

[tex] \implies \: a = \sqrt[3]{8} [/tex]

So , cube root of 8 is ,

[tex] \implies \: \boxed{\bold{a = 2}}[/tex]

Therefore, value of a is 2 inches .

Now , we are finding surface area of cube . We know that surface area of cube is 6a² . So ,

6 ( 2 )²

6 ( 4 )

24

[tex] \pink{ \boxed{ Therefore, \: surface \: area \: of \: cube \: is \: 24 \: in ^{2} }}[/tex]

#Keep Learning

ANSWER PLS ples ples

Answers

Answer:

if this is area than

1- 55

2- 28

3-  48

4- 84

Step-by-step explanation:

The speed of 10 cars on a certain highway stretch was recorded below. If the mean of the data is 63.2 with a standard deviation of 6.2, circle all data values with a z-score less than 0.5.
{49, 58, 60, 63, 64, 64, 65, 67, 70, 72}

Answers

Answer:  58

Step-by-step explanation:

Find the measurements

Answers

Answer:

<1=28, <2=62

Step-by-step explanation:

You know that the large triangle is 180 and there is a smaller triangle that is also 180. You are also provided an angle is 90 and another is 62.

90+62=152.

180-152=28. So, angle 1=28.

28+90=118.

180-118=62

The value of measure of angle ∠1 is,

⇒ ∠1 = 28°

And, The value of measure of angle ∠2 is,

⇒ ∠2 = 118°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Now, For definition of angles of triangles;

We get;

⇒ 62° + 90° + ∠1 = 180°

⇒ 152° + ∠ 1 = 180°

⇒ ∠ 1 = 180° - 152°

⇒ ∠1 = 28°

And, Sum of two interior angles of triangle is equal to an exterior angle of triangle.

Hence, We get;

⇒ ∠2 = ∠1 + 90°

⇒ ∠2 = 28° + 90°

⇒ ∠2 = 118°

Thus, The value of measure of angle ∠1 is,

⇒ ∠1 = 28°

And, The value of measure of angle ∠2 is,

⇒ ∠2 = 118°

Learn more about the angle visit:;

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In the diagram, AB, BC, CD, DE, EF, FG, GH, and HK all have lengths 4, and all angles are right angles, with the exception of the angles at D and F.



Determine the length of DF.

Answers

Answer:

5.66 length (3s.f.)

Step-by-step explanation:

[tex] \sqrt{4 {}^{2} + 4 {}^{2} } [/tex]

= 5.65685

= 5.66 (3 s.f.)

By using the Pythagorean theorem, we will see that the length of DF is 5.7 units.

How to get the length of DF?

We can make a right triangle with the sides: DE, FE, and DF.

Such that we know that:

DE = FE = 4

These two are the cathetus of the right triangle.

Then DF is the hypotenuse.

Now, remember the Pythagorean theorem, it says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, then we have:

(DE)^2 + (FE)^2 = (DF)^2

4^2 + 4^2 =(DF)^2

√32 = DF = 5.7

The length of DF is 5.7 units.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

allie went trick - or - treating one day. she wanted to dress up as a princess but her costume costs $340. she only as $119. how much money does allie need for her costume?
my sister needs help.....ughhhh shess soo annoyinggggg like dam

Answers

Answer:

459

Step-by-step explanation:

340+119=459

Answer:

221

Step-by-step explanation: 340-119 is 221

Find the value of n.

Answers

I think it’s 45 because it’s look like
The value of n is 45 I just did it! Trust me

Beinggreat78, Answer fast!

Answers

Answer:

[tex]I~am~here![/tex]

5:14

This is the simplest form of all the fruits added together, being compared to peaches.

Cube-shaped boxes will be loaded into the cargo hold of a truck. The cargo hold of the truck is in the shape of a rectangular prism. The edges of each box measure 2.50 feet and the dimensions of the cargo hold are 7.50 feet by 15.00 feet by 7.50 feet. What is the volume, in cubic feet, of each box? (Big box volume) and (small box volume)

Answers

Solve each problem. Volume of a Box A piece of sheet metal is 2.5 times as long as it is wide. It is to be made into a box with an open top by cutting 3 -inch squares from each corner and folding up the sides, as shown at the top of the next page. Let x
represent the width of the original piece of sheet metal. (a) Represent the length of the original piece of sheet metal in terms of x.
(b) What are the restrictions on x?
(c) Determine a function V
that represents the volume of the box in terms of x
(d) For what values of x
(that is, original widths) will the volume of the box be between 600 and 800 cubic inches? Determine the answer graphically, and give values to the nearest tenth of an inch

The  Volume of cubical box is 15.625 ft³.

The Volume of Cuboidal box is 843.75 ft³

What is Volume?

Volume is a term used in mathematics to describe how much three-dimensional space an item or closed surface occupies.

Given:

Cube: edge = 2.5 feet

Cuboid: l = 7.5 ft, w= 15 feet, h= 7.5 feet

So, Volume of cubical box

= l³

= 2.5³

= 15.625 ft³

and, Volume of Cuboidal box

= lwh

= 7.5 x 15 x 7.5

= 843.75 ft³

Learn more about Volume here:

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I'm stuck T^T please help me!

Answers

Answer:

a. 52%

b. 56%

Step-by-step explanation:

a. 43+87=130

130/250×100

=52

b. 87+53=140

140/250×100

=56%

Answer this asap please

Answers

Answer:

p x 7 = d

Step-by-step explanation:

If the If the amount of meat is 3 and the cost is 21 in dollars you divide 21 by 3 and the answer is 7 and to see if the answer is 7 for the rest of the questions divide 35 by 5 that equals to 7 same thing with 49 divided by 7 that equals to 7.

Answer:

P x 7=d

Explanation:

21 divided by 3 = 7, input 7 into an equation with p and d and it puts together

P x 7=d

Suppose the value 60 is added to the data set.

Answers

i would need to see what the data set is to further answer the questions because i don’t know what data set the question is referring to
Y=3x+1 use the y=C +24

math, help needed pls ​

Answers

All angles add up to at 180° proof. 180-117=63 so now you have 2 angles. 59+63=122 now 180-122=58. your answer should be 58°

#1 Please answer, i'm timed (EDGE 2022)

Answers

The answer is B) [tex]2(\frac{2}{5}x+2) =\frac{4}{5}x+4[/tex]

If it is incorrect it should be D) [tex]2(\frac{2}{5}x+4)=2\frac{2}{5} x+8[/tex]

The answer might be b

Ricardo has a $50 gift card for an electronics store. He also has a coupon good for $10 off his purchase. Let "x" represent the amount of merchandise Ricardo can buy from the store using his gift card and coupon. Graph the solution set for "x" on the number line.

Answers

Answer:

its the first option on the paper

Complete the net worth statement. What is the net worth of the individual?

Answers

Answer:

hard question you got there

Step-by-step explanation:

D) $26,595

Net worth= Total Asset - Total Liability

Find the measure of the central angle you would draw to represent apple juice in a circle graph.
a) 90 degrees
b) 54 degrees
c) 144 degrees
d) 30 degrees

Answers

The answer is 144 degrees
The answer is C. Hope this helped :)

The question is in the Screenshot so as to answer options.

Answers

Answer:

option C

i hope it is correct

Determine the surface area of a cylinder if the diameter is 2 inches and the height is 21 inches. Round your answer to the nearest hundredth. (Use )

Answers

Answer:

heya! ^^

given ,

★ diameter of cylinder = 2 inches

[tex]\therefore \: radius = \frac{2}{2} = 1 \: inch \\ [/tex]

★ height of cylinder = 21 inches

______________________________________

[tex]surface \: area \: of \: cylinder = 2\pi \: r(r + h) \\ \\ \dashrightarrow \: 2 \times 3.14 \times 1(1 + 21) \\ \\ \dashrightarrow \: 2 \times 3.14 \times 22 \\ \\ \dashrightarrow \: 3.14 \times 44 \\ \\ \dashrightarrow \: 138.16 \: inches {}^{2} [/tex]

hope helpful :D

A restaurant worker used 5 loaves of wheat bread and 2 loaves of rye bread to make sandwiches for an event. Write a ratio that compares the number of loaves of wheat bread.

Describe what the ratio 7:2 means in terms of the loaves of bread used for the event

Answers

Answer:

5:2 or 5 to 2 as a fraction 5/2

Step-by-step explanation:

Answer:

5:2

Step-by-step explanation:

there are 5 wheat bread and 2 rye bread loaves so 7:2 means you added 2 more loaves of wheat bread.

The base of a rectangular pyramid has a length of 3 inches and a width of 2 inches. The height of the pyramid is 6 inches. Find the volume of the pyramid.

Answers

Answer:

The volume is 12!

Step-by-step explanation:

Please let me know if im correct or not! but i belive i am.

Answer:

12in³

Step-by-step explanation:

V = (B * h) / 3, where B is the area of the base and h is the height.

The base is a rectangle, so it's easy to find it's area:

B = 3 * 2 = 6

Now just find the volume:

V = (6 * 6) / 3 = 36 / 3 = 12in³

Beinggreat78, this is mostly for you. but whoever gets it right can have brainliest, but answer ASAP!

Answers

Answer:

[tex]beinggreat78~here.[/tex]

The answer is 5 : 19. I included the explanation on your other question. :-)

Answer:

5:19

Step-by-step explanation:

add all fruits you get 19

peaches to all fruits

= 5:19

Anyway why did you delete my answer?

Mark me as a brainlest please!

What number does 10 need to be divided by to make 5?

Answers

Answer:

2

Step-by-step explanation:

We can put this into an equation:

10/x=5

first, we multiply x on both sides:

10=5x

and then we divide by 5 on both:

2=x

so the answer is 2

Answer:

2

Step-by-step explanation:

10 divided by 5 equals 2. If you have trouble doing this you can multiply with your calculator to find the answer. Or even divide with a calculator!

Hope this helps :)

Have a great day and enjoy your assignments!

<3 sun

Calculate the difference between 33.078 and 5.3005 using significant digits

i will give brainliest

Answers

Answer:

27.778, so 5 significant digits

Step-by-step explanation:

negative fractions on the number line

Answers

-3.25 because the number line is divided into quarters 3 3.25 3.5 3.75 4

On number line, the value of fraction is,

⇒ - 13/4

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The number line is shown.

Now,

The value of number represent on number line is,

⇒ - 3.25

⇒ - 325/100

⇒ -65/20

⇒ - 13/4

Thus, On number line, the value of fraction is,

⇒ - 13/4

Learn more about the fraction visit:

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The height of a football is given by the function h of t equals negative16 t squared plus 56 t plus 3, where h of t is the height of the football in feet and t is the time in seconds after the ball is punted.



What is the height of the football 3 seconds after it has been punted?

Answers

Answer:

27 feet.

Step-by-step explanation:

Graph the quadratic equation, then find the point on the graph which aligns with x=3. Y would equal 27.

1. HELP ASAP!!! GIVING BRAINLIEST!!!
Find each missing measure for both problems.

Answers

Answer:

Step-by-step explanation:

Q1

x+68+41=180

x+109=180

x=180-109

x=71

Q2

x+47+16=180

x+63=180

x=180-63

x=117

Here is your answer

A scatter plot is made comparing x, the number of hours since midnight, with y, the number of lights turned on in a house. What would a point at (7,8) on the scatter plot mean?

Answers

Answer:

7 hours since midnight and 8 lights turned on.

Step-by-step explanation:

(x,y) so 7 is the x and 8 is the y.

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