Mathematics High School

A store sells hardcover books for $8 and paperback books for $5. You buy 7 books, represented by the equation x + y = 7, where x is the number of hardcover books and y is the number of paperback books. The equation 8x + 5y = 41 represents the total cost. How many of each type of book did you buy?

Answers

Answer 1

Answer:

Total number of Hardcover books is TWO while the number of Paperback books is FIVE

Step-by-step explanation:

No. of hardcover book = x

No. of paperback book = y

Cost of one hardcover book = $8

Cost of one paperback book = $5 We are given that:

x+y=7 (Equation 1)

8x+5y=41 (Equation 2)

We can find out value of x and y by solving both equations simultaneously.

Hence, Total number of Hardcover books is TWO while the number of Paperback books is FIVE

Step-by-step explanation:

Related Questions

Need help on HS geometry

Answers

Here, RY = PY.Angle QRY = Angle QPY = 90°QY = QY [common]Therefore, ∆ QRY = ∆ QPYBy c.p.c.t., angle RQY = angle PQYTherefore, [tex]16x - 27 = 5x + 6 \\ = > 16x - 5x = 6 + 27 \\ = > 11x = 33 \\ = > x = 3[/tex]Therefore, the measure of angle YQR[tex] = (16x - 27)° \\ = (16 \times 3 - 27)° \\ = (48 - 27)° \\ = 21°[/tex]

Answers:

321°

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \tt\Rrightarrow 16x-27=5x+6[/tex]

[tex]\\ \tt\Rrightarrow 16x-5x=6+27[/tex]

[tex]\\ \tt\Rrightarrow 11x=33[/tex]

[tex]\\ \tt\Rrightarrow x=3[/tex]

m<YQR=16(3)-27=48-27=21°

How many match sticks will be in the 8th picture?

Answers

Hello again. :)

Answer: 33 match sticks

From the first picture, we are given 5 match sticks.

From the second picture, we are given 9 match sticks. The difference between the match sticks is 4.

From the third picture, we are given 13 match sticks. The difference between the match sticks is again 4.

If each image increases the number of match sticks by 4, then the fourth image must have (13 + 4) = 17 match sticks.
The fifth image must have (17 + 4) = 21 match sticks.
The sixth image must have (21 + 4) = 25 match sticks.
The seventh image must have (25 + 4) = 29 match sticks.
And the eighth image must have (29 + 4) = 33 match sticks

A store sells four printers for every five computers. The store sells 40 computers on Saturday. How many printers did it sell on Saturday?

Answers

32 printers were sold:
P:C
4:5
_:40
40/5=8
4x8=32

Kayla was asked to rewrite the polynomial expression x ^ 2 + 5x + 9 she rewrite the polynomial ? How could she rewrite with the polynomial?

Answers

Answer:

x²+6x+9

x²+3x+3x+9

x(x+3)+3(x+3)

=(x+3)(x+3)

The blueprint for Moreno's living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new blueprint? (The width is 8)

Answers

If the 8 you’re talking about is in inches then it would be 16 feet but if it’s 8 feet then it’s 4 inches

Can someone please give me the (Answers) to this? ... please ...

Answers

a.) The SAS Triangle Congruence Postulate states that if if a pair of corresponding sides, a pair of corresponding angles, and another pair of corresponding sides in two triangles are congruent, then the two triangles are congruent. Therefore, we can see that in both triangles, we are only shown a corresponding, congruent right angle. We need two pairs of sides with the corresponding right angles to prove that the triangles are congruent via SAS. We would need to know the length of side VX, and it’s corresponding side length, XV. We would also need to know the side lengths of WV and it’s corresponding side length, XK. We would then need some sort of symbol to represent a congruent relationship if the side lengths are congruent. Then, we would have two pairs of corresponding, congruent sides, and a pair of corresponding, congruent angles. Then, we would have a Side-Angle-Side.

b.) We are given two triangles with a pair of corresponding, congruent sides. We need to have a pair of corresponding, congruent angles, another pair of corresponding, congruent sides to follow SAS. Therefore, we would need to know the angle measures of angles UVW and KVM. We know that they are vertical angles, so they are indeed congruent. Now, we would need to know the side lengths of sides WV and VM. If those sides are congruent, then we have a pair of corresponding, congruent sides, a pair of corresponding, congruent angles, and another pair of corresponding, congruent sides, making SAS.

c.) The Angle Side Angle Postulate states that if there is a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles in two triangles, then the two triangles are congruent. We have a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, but we need another pair of congruent, corresponding angles. Therefore, we would need to know the angle measures of angles MLK and STU. Then we would have a a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles.

Please give Brainliest! This took a lot of time!

Answer:

To be congruent at b. no. UV= VK,V=V,UW=KM.

To be congruent at C no. M=S,LM=ST,LK=TU.

Help please due today!

Answers

Answer:

36.87 degrees

Step-by-step explanation:

Use the law of sines

sin(90)/70 = sin(x)/42

Multiply each side by 42

42 * sin(90)/70 = sin(x)

use a calculator to get 0.6

Use inverse sin to find angle sin^-1 = 0.6

The angle is approximately 36.87 degrees

I need help with this

Answers

Answer:

a and b

Step-by-step explanation:

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

27 children

Step-by-step explanation:

So, if you add 9 +4 = 13. 13 x 3 = 39.

3 times 9 = 27

Hope this helped! Pls mark me brainliest!

Answer:

27 children

Step-by-step explanation:

9+4=13

39/13=3

9x3=27

Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?

Answers

Answer: 35 (choice C)

=============================================

Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

D = 7b+1 = 7*17+1 = 119+1 = 120E = 2b+1 = 2*17+1 = 34+1 = 35 degreesF = b+8 = 17+8 = 25

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

PLEASE HELP TEST DUE SOON⚠️ which graph should be used to show the situation described? The temperature increases by4° every hour

Answers

Step-by-step explanation:

the bottom left is the right option.

just by saying "the temperature increases ..." the 2 options on the right are wrong. the line has to go up, not down.

the first graph (top left) increases too strongly, way more than just 4ft per hour.

please help,I WILL GIVE BRAINLIEST.
Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?

Answers

Answer:

During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours.y = 5x + 3

During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. y = 5.5x + 2

Then using both equations will be:

y = 5x + 3

y = 5.5x + 2

Subtract the equations

0.5x = 1

x = 1/0.5 = 2

Therefore, the value of y will be:

y = 5x + 3 = 5(2) + 3 = 13

You record the number x of goals scored by the winning team, and the number y of goals scored by the
losing team for each soccer game during a team's season. Does the relation necessarily represent a function?
Explain.

Answers

Answer:

Step-by-step explanation:

Not necessarily.

For example 2 games could have the score 3-1 and 3-2.

This is a one-to-many mapping which is not a function.

Evaluate the following expression if c = 8 and d = -5

3 * (c+d

Answers

Hi,

if c = 8 and d = -5:

3*(c + d) <=> 3*(8 + (-5))

= 3*(8 - 5)

= 3*3

= 9

✅^_^

The graph for the first equation of a system is shown in orange. The second equation is:

3y+30=6x

What is the solution to the system?
A. (2, –10)
B. (1, –8)
C. (–2, –14)
D.(2, –6)

Answers

Answer:

Step-by-step explanation:

Slope of the first one:

(-6-0)/(0--3) = -6/3 = -2

y = -2x - 6

3y + 30 = 6x

y + 10 = 2x

-2x - 6 + 10 = 2x

4 = 4x

x = 1

y = -2(1) - 6

y = -8

xsquare- 2x -4 = 0 using completing Square method

Answers

Answer:

........................

Samir works at a carpet warehouse and is paid a 4% commission on his sales. in November, he sold $9455 of carpet. How much did Samir earn in commission for November?

Answers

Answer:

$378.20

Step-by-step explanation:

9455 * .04 = $378.20

Helppppppppppp meeeeeeee

Answers

Answer:

itll be number 2

Step-by-step explanation:

Answer:

8 I thing is correct so check well you will get the correct answer

Does the point (7,7) satisfy the equation y =8x?

Answers

Answer:

Step-by-step explanation:

y = 8x

Try (7, 7).

Is 7 = 8(7)?

Is 7 = 56?

The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.

Hey can u help me plsss I really need help don’t just press for points.

Answers

how do we hel you , ca we get a description

ali sorced 66 and 72 marks respectively. for his two tests what is the lowest marks he must have sorced for his third test if an average score of at least 75 is required to qualify for a bonus prize

Answers

Answer:

Step-by-step explanation:

66 + 72 + 87 = 225

225 / 3 = 75

Ricardo changed $600 into pounds when the exchange rate was $1 = 0.60 pounds
He later changed all the pounds back into dollars when the exchange rate was $1 = 0.72 pounds
How many dollars did he receive ??

Answers

600 x 0.60 = 360 pounds

360 /0.72 = 500

He got $500

Saturn is about 1.427 x 10^12 miles from the sun. Light travels at approximately 3 x 10^8 miles/second. How long does it take for suns light to reach Saturn

Answers

Answer:

4,756.66 seconds or 1.321 hours

Here's how I got that:

- Simply use time formula and plug in what you know -

t = distance/speed

↓

1,427,000,000,000/300000000

↓

t = 4,756.66

~That's all folks~

-Siascon

Find the equation of the straight line which makes a negative intercept of 4 units on the x - axis and passes through the point (2‚ 3).

Answers

Answer:

y = 1/2x + 2.

Step-by-step explanation:

It passes through the points (-4, 0) and (2,3) so

the slope (m) = (3-0)/(2-(-4)) = 3/2 = 1/2.

Using the point slope form of a straight line:

y - y1 = m(x - x1):

y - 3 = 1/2(x - 2)

y = 1/2x - 1 + 3

y = 1/2x + 2 is the required equation.

The world population is about 7.8 billion people now and the population grows at an annual rate of 1.1%. What will the population be in 2031?

Answers

Answer:

8.58 billion people

Step-by-step explanation:

7.8

1.1

858 place the decimal where it should be to get 8.58

Calculate the volume of cuboids with the following dimensions
length= 1.2 m, breadth= 1 m, height= 150 cm

Answers

Answer:

1.8 m^3

Step-by-step explanation:

We just have to multiply the lenghts, but careful: the height is in cm. 100 cm = 1 m. Therefore 150cm = 1,5m.

V = 1.2 m * 1m * 1.5m = 1.8 m^3

A 3-gallon jug of water costs $16.80. What is the price per cup?

Answers

Answer:

$0.35

Step-by-step explanation:

A gallon is equal to 16 cups, so the 3-gallon jug is equal to 48 cups. You when then divide $16.80 by 48, to get $0.35 or the price per cup! Hope this helps :)

Answer:

0.35

Step-by-step explanation:

The pric of a new car is $29,990. If the sales tax rate is 6.5%, then how much sales tax is being charged?What is the total cost for the car including tax?

Answers

Solution: ($29990)*(0.065) = $1949.35.

Answer: The sales tax is $1949.35 and the total cost is $29,990.00 + $1949.35 = $31,939.35.

What is the value of this expression when y = 6? 6(4y−3)−9y

Answers

Answer:

Step-by-step explanation:

6(4(6)-3)-9(6)

6×(24−3)−54

I think the answer is 72, sorry if it is wrong

Answer:

I think it's 72

Step-by-step explanation:

4.6=24

24-3=21

21.6=126

9.6=54

126-54= 72

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

last option

Step-by-step explanation:

b) 1/6 = 16.7 to 1dp

c) 45% = 45/100 = 9/20

d) 7/9 = 77.8% to 1dp

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