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

find an expression equivalent to the one from the answer above by factoring out the greatest common factor from the two terms

2(5+m)

help asap

Answers

Answer:

2m+10

Step-by-step explanation:

2(5+m)

=(2)(5+m)

=(2)(5)+(2)(m)

=10+2m

=2m+10

2m+10


To do this problem you multiply the number outside of the parenthesis by the two inside. That leaves you with 10+2m. To make the problem easier to do, you switch the places around for a 2m+10.

Find a function to model the table. Will choose brainliest.

Answers

Answer:

hmm i think it should look something like this

Step-by-step explanation:

i'm not sure if i am correct

Which statements about the histogram are true? Check all that apply.

Answers

Answer:

The histogram shows there were 22 students in the class.

The histogram is symmetrical.

The histogram has a peak.

The histogram shows the data is evenly distributed.

Step-by-step explanation:

I will give brainliest to the first person to answer

Write the equation for the following situations
After adding an 8 pound box of tennis rackets to a crate with 5 identical boxes of ping pong paddles, the crate weighed 72 pounds.

Answers

Answer:

I would say 80 pounds worth of tennis and ping pong equipment  

Step-by-step explanation:

8lbs+72lbs=80lbs

Marla wanted to train to run a 6 mile race. How many days did it take her to reach 6 miles?

She reached her goal on the 26th day.

She reached her goal on the 29th day.

She reached her goal on the 30th day.

She reached her goal on the 27th day.

Answers

She reached her goal on the 30th day

Given the distance Maria ran each day, the total distance she ran during a fifteen ( 15 ) days stretch is 55.5 miles.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Expression for the Total of Distance ran by Maria

Total distance = Distance ran each day × Number days

Given the data in the question;

Distance ran each day by Maria Dm = 3.7miles

Number days ran n = 15days

Total number of distance ran by Maria TDm = ?

Hence, Total distance = Distance ran each day × Number days

TDm = Dm × n

We substitute in our values

TDm = 3.7miles × 15

TDm = 55.5miles

Thus, the distance Maria ran each day, the total distance she ran during a fifteen ( 15 ) days stretch is 55.5miles.

Learn more about multiplication here:

brainly.com/question/2610134

#SPJ7

complete question:

Marla ran 3.7 miles a day for 15 days straight. How many miles did Marla run altogether during the 15 day stretch?

I get confused when there are boxes—
i also get stuck on fractions.. help

Answers

2.4x+2.8=10

Use inverse operations to find for x!

x= 3

The Answer is 2.4x+2.8=10 Hope this helped
Explained

Debbie is sewing pillowcases to sell at the craft fair.She has a bolt of fabric that is 15 years long.Each pillowcase requires 8/9 yard of material.If she makes as many pillowcases as possible,how many yards of fabric will she have left?

Answers

Around 2 proximently but it depends if your teacher wants the aproximate extimate or the exect Awser


Hope this help :) sorry if it did not I need to go to bed

Negative decimals on a number line 4

Answers

Answer:

B

Step-by-step explanation:

it's B because it says -0.905

Answer:

B) Point B

Step-by-step explanation:

A) Point A is located at -0.95

B) Point B is located at −0.905

C) Point C is located at -0.88

D) Point D is located at -0.835

Therefore, option B is your answer.

Find the difference using the correct number of significant digits.

32.020
– 4.1

Answers

Answer: the answer is 27.92

Step-by-step explanation: if you right it vertical and line the desimals you will get the answer

27.92 is the correct answer

Which of the following measurements are greater than 130 fluid ounces? Select all that apply. (Multiple choice)

Answers

Answer:

c and e

Step-by-step explanation:

The correct alternatives are c and e

Please help. Mathematics.

Answers

A car travels 3 hours. It travels 30 miles in the first hour, 45 miles in the second hour and 75 miles in the third hour.

A population of rats increasing by 40 rats per week.

A car driving 27 miles per gallon distance traveled changes by 27 miles for each gallon.

Three real-world examples of constant rate:

Driving a Car.

Filling a Bathtub.

Interest on a Loan.

What is speed?

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values are given using this formula.

We have,

Here are three real-world examples of constant rate:

Driving a Car:

If a car is traveling at a constant speed of 60 km/h, it will cover a distance of 60 kilometers in one hour, regardless of the terrain, traffic, or weather conditions.

The car's speed is constant.

Filling a Bathtub:

If you are filling a bathtub with a faucet that is delivering water at a constant rate, the water level in the tub will rise at a constant rate until the tub is full.

Interest on a Loan:

If you take out a loan with a fixed interest rate, the interest will accrue at a constant rate over time, as long as you make your payments on time.

Thus,

Three real-world examples of constant rate:

Driving a Car.

Filling a Bathtub.

Interest on a Loan.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ7

Audrey mowed 12 lawns in 9 hours. What was her rate of mowing in hours per lawn?

Answers

12 lawns/9 hours = 1.33 lawns per hour

The rate of lawn mowing is given as 4/3 lawns per hour.

What is Unitary method ?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

The given problem can be solved using unitary method as follows,

The number of lawns mowed in 9 hours = 12

Then, number of lawns mowed in 1 hour = 12/9 = 4/3.

Hence, the rate of mowing lawn for Audrey is 4/3 lawns per hour.

To know more about unitary method click on,

https://brainly.com/question/28276953

#SPJ2

Where do use a sensor to measure the speed of a moving car at different times. Each time, the sensor measure the speed of the car in both miles per hour and kilometers per hour. The picture below shows her results.

Answers

The answer would be A) The relationship is proportional because the ratio M to K is constant

Write the number for nine million seven hundred thousand

Answers

Answer:

9,700,000.

Explain:

9 goes in the 1,000,000th place, and 700 would be placed right behind the 9's comma. Therefore, 9,700,000

Answer: 9,700,000

In order to answer this you should start by writing out one million. By doing this, you can find out where you ones, hundreds, thousands, and millions place is. Then input what you know. The nine would go in the millions place, then the 7 would go in the thousands place.

I hope this helps! : )

Write the number for fourteen million eighty thousand.

Answers

Answer:

14,080,000

Step-by-step explanation:

where the 4 is is the millions place

where the 1 is is the 10 millions place

where the 8 is is the 10 thousands place

Step-by-step explanation:

14080000 answer is please follow me ......

Brainliest! PLEASE, Thanks!!!

Which inverse operation should be used to solve this problem?

87 + N = 132

A. Division
B. Subtraction
C. Addition

Answers

Answer:

B. Subtraction

Step-by-step explanation:

Inverse operation mean that you do the equation but you flip the equation so you flip the symbol too. The inverse operation for this equation would be 132 - N = 87

Answer:

Subtraction.

Step-by-step explanation:

Equation:

87 + N = 132

Flip the equation:

132 - N = 87

Answer is B.

(optional answer: N = 45).

can someone help me plsease

Answers

Answer:

You must be in 8th grade?

Step-by-step explanation:

For the first one I don't know.

The second one I'm also not sure about.

The third one, the answer is 225 because you will divided 150 by 2 and get the answer of 75 and then multiply 75 by 3 to get the answer of 225.

For the fourth one, you will multiply 5 x 2.5 = 12.5 then you will multiply 12.5 x 20 = 250yd^2.

For the last one you will multiply 2.25 x 22 = 49.5 miles.

toate punctele va rog

Answers

Answer:

52

Step-by-step explanation:

56

What is the length of one side of a square when it has an area of 100 inches squared?

and what is the squares perimeter?

Answers

Answer:

L = 10 in
P = 40 in

Step-by-step explanation:

The area of a square is given by the equation:

A = L²

We rearrange this equation to make L the subject:

Square root both sides:

√A = L

Now we substitute A into our rearranged equation to find L:

L = √A

L = √100

L = 10 in

The perimeter of a square is given by the equation:

P = 4L

Substitute the L we just found to find P:

P = 4(10)

P = 40 in

The perimeter of the square is 40 in

Whoever gets it right can have brainliest, but answer ASAP!

Answers

Answer:

[tex]beinggreat78 ~is ~here ~to~ help~ you![/tex]

Let's start with 5 squared. 5 squared, or just squared in general, represents the number behind it times itself.

[tex]5^2~or~ 5*5 = 25[/tex]

Now, add 3

[tex]25 + 3 = 28[/tex]

Next, subtract 1

[tex]28 - 1 = 27[/tex]

Now, you must divide, because the line under the first equation represents division, or a fraction. For this case, division. Before dividing your result, 27, by y, the second equation, you first want to solve equation 2, y.

[tex]\frac{18}{2} = 9[/tex]

Lastly, divide x by y, 27 divided by 9

[tex]\frac{27}{9} = 3[/tex]

The problem is solved! The final answer is 3

is this correct if not help me please

Answers

No that is not correct

Answer:

weight in an elevator must be less than 2000 lbs goes with w < 2000

a ton is 2000 lbs goes with w = 2000

the pool must hold at least 2000 gallons goes with w ≥ 2000

the scale can hold up to and including 2000 lbs goes with w ≤ 2000

my car weighs more than 2000 lbs goes with w > 2000

Step-by-step explanation:

If the weight is less than 2000 lbs, then the inequality will have a lesser than sign. The choice that matches is w < 2000.

If a ton is exactly 2000 lbs, then it's equal to 2000. In other words, the inequality will have an equal sign. The choice that matches is w = 2000.

If a pool should be held with at least 2000 lbs, then it's weight is either greater than or equal to 2000 lbs. the choice that matches is w ≥ 2000.

If a scaled can hold up to, including 2000lbs, then the maximum weight it can hold is 2000 lbs. The weight is less than or equal to 2000. the choice that matches is w ≤ 2000.

If a car weighs more than 2000 pounds, then the weight will be greater than 2000. The choice that matches is w > 2000.

hope this helps!

Is anyone able to figure this out, I can't do this

Answers

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

[tex]\implies r^2 + r^2 = c^2[/tex]

[tex]\implies 2r^2 = c^2[/tex]

[tex]\implies c=\sqrt{2r^2}[/tex]

So the diagonal of the square = [tex]\sqrt{2r^2}[/tex]

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

[tex]\implies \sqrt{2r^2}+r=1[/tex]

[tex]\implies \sqrt{2r^2}=1-r[/tex]

[tex]\implies 2r^2=(1-r)^2[/tex]

[tex]\implies 2r^2=1-2r+r^2[/tex]

[tex]\implies r^2+2r-1=0[/tex]

Using the quadratic formula to calculate r:

[tex]\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}[/tex]

[tex]\implies r=\dfrac{-2\pm\sqrt{8}}{2}[/tex]

[tex]\implies r=-1\pm\sqrt{2}[/tex]

As distance is positive, [tex]r=-1+\sqrt{2}=\sqrt{2}-1[/tex]  only

The answer to your equation is C

C. Ben and Michael also participated in the long jump. Michael jumped 334 thousandths of a meter less than Kevin. Ben jumped farther than Michael but not as far as Kevin. Write a decimal to the thousandths that is greater than Michael's distance and less than Kevin's distance. Explain the reasoning you used.

Answers

it would be 0.500i think it would be this because it makes sense i dont really know an explenaton hope it helps

It is great to have 64 fluid ounces of water each day. How many cups would this be?

Answers

Answer:

8 cups

Step-by-step explanation:

which is the prime factorization of 48?
A. 2x2x2x2x3
B. 2x2x2x6
C. 4x 12
D. 3x16

Answers

Answer:

A.2x2x2x2x3 / 2^4x3

Step-by-step explanation:

70 pts if your correct. ROUND YOUR ANSWER.

Answers

Answer:

12.12m

Step-by-step explanation:

because math

Last Quistion Sorry i will mark as branlyist if corecct thank you

Answers

Answer:

A = (1/2, 1/2)
B = (3 1/2, 1/2)

C = (5, 1/2)

D = (4 1/2, 1/2)

Step-by-step explanation:

Answer:

A = (1/2, 1/2)

B = (3 1/2, 1/2)

C = (5, 1/2)

D = (4 1/2, 1/2)

Step-by-step explanation:

brainliest please

PLEASE HELP QUICK MATH

Answers

Answer:

25%

Step-by-step explanation:

It starts at 2000, and ends at 8000. Then I didvided it by 4, and got 25%.

The answer to this is 25%.

HELPPPP IT DOWN BELLOW

Answers

Answer:

paul put it at 3,8 and its supposed to be at 0,6

Step-by-step explanation:

(1,6) he went over left to far

help me I'll give brainliest to the person who has the correct answer​

Answers

Answer:c in the habit of

Step-by-step explanation:

Hey there!


When you see or hear the word “accustomed” think of the person/speaker or question telling that it is another name for “Be prepared of something” or just simply think of the word “adaption”.


Another word for “adaption” or “adapt” is “habitation” aka “habitat”


Based on that information I gathered for you, the answer is “in the habit for” (Option C.) because it’s talking about the word “habitat”


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Other Questions
Please help me out! I would also love an explanation on how to find the ratio and the answer Gasses and plasma are called bank because their shape is always changing A can is shaped like a cylinder 5.2 cm wide and 2.3 cm tall. find the volume of the nearest tenth. use 3.14 for pie. Please help me!!30 points for it!!!!!!!!!! What is 180 divided by 2 What must be known to determine the direction of the magnetic force on a charge? check all that apply. what is the product of 237 and 962? Please help, i will mark as brainliestit is given that the volume of the paint, x litres, varies directly as the area of the wall, d m. if 3 litres of paints can paint 36 m of wall, calculate the volume of the paint in litres, needed to paint a wall of 9 m in height and 5 m in width. Find the perimeter of the cabin below. A student draws the model shown below.Which of these best compares the conditions at Location X and Location Y?Answer What is it called when several shapes together form a new shape. Please help. Question 9 of 10Which key signature is pictured here?fO A. D majorO B. G majorO C. C major Which expression does this power represent?10^810 810 10 10 10 10 10 10 1010 8 10 8 10 8 10 8 10 8 10 8 10 8 10 88 8 8 8 8 8 8 8 8 8 ACTIVITY FIVE: The Path From the Ear to the BrainGoal of this activity: To understand the different structures that allow humans to perceiveauditory stimuli.Instructions: Read the text, and complete the assignments.Part One:Audition depends strongly on the medium - that is, the substance through which sound wavesare transmitted. Draw a picture of, and label the following structures in a diagram that indicatesthe path these sound waves travel in order to be perceived by the brain.Sound wavePinnaAuditory CanalTympanic Membrano MalleusIncusStapesOval windowRound windowCochleaOrgan of CortiAuditory NerveSuperior Olivary Complex Dorsal Cochlear aucleus Inferior colliculusMedial Geniculate body Auditory CortexHelppp pleaseeee Please help asap.I will give brainliest Please Help 20 points Embezzlement. A jail guard is working on the night shift all alone. He locks himself out of his office, leaving all the jail keys in the office. He remembers an inmate brought in earlier in the day who had lock-picking devices in his possession when he was booked. He goes to the evidence locker, retrieves the lock-picking devices, opens the locked door, and returns the devices to the locker. The lock-picking devices were gone for less than five minutes. Answer the following questions: a. Has he embezzled the devices?b. Does it make a difference that he put the property back within five minutes?c. If you were his supervisor, how would you handle this situation? which factor changed for Texas's largest cities after World War 2 Describe the graph of the function. y = |x 4| 7The graph is an absolute value function with vertex (4, 7).The graph is an absolute value function with vertex (7, 4).The graph is an absolute value function with vertex (4, 7).The graph is an absolute value function with vertex (4, 7). Is it possible for a rhombus to have an angle of 120 and an angle of 30?give an explanation please. pls help. Consider the following expression 9u+7v+5+4v.Select all of the true statements below.