10. Tim bought two copies of the same hardcover book and three
copies of the same paperback book cost $118. Sally bought three of
the hardcover books and two of the paperback books for $137. Find
the cost for each type of book.

Answers

Answer 1

Answer:

Let hardcover book be x

Let paperback book be y

2x+3y=$118....Equation 1

3x+2y=$137.... Equation 2

Solve for x and y using simultaneous equation

Using elimination method

2x+3y=118......×3

3x+2y=137......×2

6x+9y=354

6x+4y=274

9y-4y=80

5y=80

y=80÷5=16

substituting y=16 into equation 1

2x+3(16)=118

2x+48=118

2x=70

x=70÷2=35

Therefore hardcover costs $35 each

paperback cover costs $16 each


Related Questions

6. What is the perimeter of Figure ABCD with vertices at A(2, 3), B(5,3),
C(5, -3), and D(2,-3)? What is the area?

Answers

Perimeter: 18
Area: 18

Two sides are 6 units and two sides are 3 units
6+6+3+3= 18
6x3=18

What is the value of the expression. (-8+4)- (3-9)

Answers

Answer:

2

PLZ MARK BRAINLIEST

Step-by-step explanation:

(-8+4) - (3-9) = (-4) - (-6) = -4 + 6 = 2

Translate the description as an algebraic expression:
twice the difference of c and 19

Answers

Answer:

2(c - 19)

Step-by-step explanation:

Twice the difference of c  and 19

2 (c - 9)

When it says "twice the difference.." it means you will times the difference of c - 19 by 2

Answer:

Difference of c and 19=c-19

Twice of (c-19)=2(C-19).

So, the final answer is 2(c-19).

Chose the best estimate for 18% of 54

Answers

Answer is in the file below

tinyurl.com/wpazsebu

In this line of circles the eario of red circkles to blue circles is 1:3 how many more red circles would need to be added to make the ratio of red to blue 3:1

Answers

Answer:

8 more red circles

Step-by-step explanation:

Given that

The ratio of red circles to blue circles is 1:3

Now to make the ratio of red to blue i.e. 3:1

or in other words to make the ratio reverse here we have to add eight more red counters

So 8 more red circles would required to be added

sasha had $1800 and share it in the ratio 2:3:4 between her 3 cousin what was the largest share
900
800
1200
1000​

Answers

Answer:

$800

Step-by-step explanation:

[tex]total \: units \: = \\ 2 + 3 + 4 = 9 \: units \\ 9 \: units \: = 1800 \\ 1 \: unit \: = 1800 \div 9 \: = 200 \\ largest \: share \: = 4 \: units \\ 4 \: units \: = \: 200 \times 4 = 800[/tex]

The identity a squared minus B squared equals parentheses a plus B parentheses parentheses a minus B parentheses is true for all values of ANB. Compute the whole number value of 2021 squared -2022The identity a squared minus B squared equals parentheses a plus B parentheses parentheses a minus B parentheses is true for all values of A and B. Compute the whole number value of 2021 squared -2020 squared

Answers

Question:

The identity [tex]A^2 - B^2 = (A + B) (A - B)[/tex] is true for all values of A and B. Compute the whole number value of [tex]2021^2 -2022^2[/tex]

Answer:

[tex]2021^2 - 2022^2 = -4043[/tex]

Step-by-step explanation:

Given

[tex]A^2 - B^2 = (A + B) (A - B)[/tex]

Required

Solve:  [tex]2021^2 -2022^2[/tex]

In: [tex]2021^2 -2022^2[/tex]

[tex]A = 2021; B = 2022[/tex]

[tex]A^2 - B^2 = (A + B) (A - B)[/tex] becomes

[tex]2021^2 - 2022^2 = (2021 + 2022)(2021 - 2022)[/tex]

[tex]2021^2 - 2022^2 = (4043)(-1)[/tex]

[tex]2021^2 - 2022^2 = -4043[/tex]

Y=2x-10
3x-7y=37 I need to solve by substitution

Answers

Answer:

x=3, y=-4

Step-by-step explanation:

3x-7(2x-10)=37

3x-14x+70=37

-11x=37-70

-11x=-33

x=3

y=2(3)-10

y=6-10

y=-4

c) 2 /3 parts of a tank contains 80 litre of water. How much water does 3/8 parts
of the tank contain?​

Answers

Answer:

45 litres

Step-by-step explanation:

Let the whole tank contains x litres of water.

Therefore,

[tex] \frac{2}{3} x = 80 \\ \\ x = 80 \times \frac{3}{2} \\ \\ x = 40 \times 3 \\ \\ x = 120 \\ \\ \frac{3}{8} x = \frac{3}{8} \times 120 \\ \\ = 3 \times 15 \\ \\ = 45 \: liters[/tex]

Domain and range for exponential function y=3x

Answers

Domain is 0 and Range is 3.

The domain of the exponential function 3ˣ is the set of all real numbers (or) (-∞, ∞).

Range is [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right) > 0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

We know that the domain of a function y = f(x) is the set of all x-values (inputs) where it can be computed and the range is the set of all y-values (outputs) of the function.

From the graphs of f(x) = 3ˣ, we can see that an exponential function can be computed at all values of x. Thus, the domain of an exponential function is the set of all real numbers (or) (-∞, ∞).

Thus, the domain is the set of all real numbers (or) (-∞, ∞).

Range is [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right) > 0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ6

PLEASE HELP ME WITH THESE TWO!!! ILL MARK BRAIN-LIST!!!

Answers

Step-by-step explanation:

πrxrxh

3.14 x 3.5 x 3.5 x 10 = 384.65

3.14 x 2 x 2 x 6 = 75.36

Harper wants to buy 2 shirts for $21.50 each and 2 pairs of jeans for $25 each. How much will she pay for the shirts and the jeans?

Answers

She will pay $12.75 for each shirt and $12.50 for each pair of jeans.


ANSWER: $93

1 shirt = $21.50

2 shirts = $43

1 pair of jeans = $25

2 pairs of jeans = $50

$50 + $43 = $93

HI, I NEED THIS QUESTION TO BE ANSWER ASAP! HELP PLEASE!!
HERE IS THE QUESTION!

What fraction with a denominator of 8 is equivalent to 1/2?

HELP!! IF YOU DO IT ILL GIVE YOU BRAINLY WITH THE EXPLANATION!

Answers

Answer:

4/8

Step-by-step explanation:

4/8 is equal to 1/2

-

4 is half of 8

Write the unit rate for the following.
a) kate sews 100 dresses In a 20 day month.
b) Kim runs 5km in 30 minutes.​

Answers

Answer:

the answer is B

Answer:

For a) The unit rate is 5 dresses per day

For B) The unit rate is 1KM per 6 min

Step-by-step explanation:

100/20=5 dresses

30/5=6 minutes

Carly went for a walk and jog
• She started walking.
• After a few minutes, Carly began jogging at a faster speed than she was walking
• Carly got tired then slowed down to a slower speed than she was jogging

which graph best represents the distance Carly went?

Answers

Answer:

I believe D

Step-by-step explanation:

The reason is she starts off slowly but then keeps on gaining up and up.

what is the volume of the fuigure.​

Answers

Answer:

volume = 504

Step-by-step explanation:

the basic formula for volume is length × width

14 x 3 x 3 x 2 x 2 = 504

Can anyone explain to me what to do here? I've been looking at this for like..days and...I still don't get it...

Answers

Answer:

I think u have to find the distance.

Each point is given a distinct letter and like wise you have to count the distance between the two points given.

Step-by-step explanation:

Like, 1)distance between A and R when A = -11 and R = -9

their distance is 2 units.

Likewise, 2) RY = 6 units

3) EU = 7 units

4) WD = 5 units

5) EL = 12 units

Find the area of the shape shown below 5 3.5 2 2 2 2

Answers

Answer:

3.3

Step-by-step explanation:

2,33

I need help finding the first five terms of the following explicit formula and the sequence

Answers

Answer:

Step-by-step explanation:

Explicit formula of the sequence,

[tex]A_n=59+11n[/tex]

[tex]A_1=59+11(1)[/tex]

[tex]A_1=70[/tex]

[tex]A_2=59+11(2)[/tex]

[tex]A_2=81[/tex]

[tex]A_3=59+11(3)[/tex]

[tex]A_3=92[/tex]

[tex]A_4=59+11(4)[/tex]

[tex]A_4=103[/tex]

[tex]A_5=59+11(5)[/tex]

[tex]A_5=114[/tex]

Use the long division method to find the result when 4x³-16x²-21x+5 is divided by x-5?​

Answers

Do nto know but mabue someone will Answer:

Step-by-step explanation:

Timothy has $50 in his bank account and saves $3 every week. Tina has $30 and saves $5 a week. When will they have the same amount of money? How much money?

Answers

Just for the points

Answer:

Timothy will have $150 in about 3 to 4 weeks.

Tina will have $150 in about 5 to 6 weeks.

Step-by-step explanation:

I hoped this helped!

need some help with this

Answers

Answer:

c. infinitely many solution

Answer: C

Step-by-step explanation:

5 + -2x = 4 + -2x + 4 + x

Reorder the terms:

5 + -2x = 4 + 4 + -2x + x

Combine like terms: 4 + 4 = 8

5 + -2x = 8 + -2x + x

Combine like terms: -2x + x = -1x

5 + -2x = 8 + -1x

Solving

5 + -2x = 8 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.

5 + -2x + x = 8 + -1x + x

Combine like terms: -2x + x = -1x

5 + -1x = 8 + -1x + x

Combine like terms: -1x + x = 0

5 + -1x = 8 + 0

5 + -1x = 8

Add '-5' to each side of the equation.

5 + -5 + -1x = 8 + -5

Combine like terms: 5 + -5 = 0

0 + -1x = 8 + -5

-1x = 8 + -5

Combine like terms: 8 + -5 = 3

-1x = 3

Divide each side by '-1'.

x = -3

Simplifying

x = -3

Name this polygon

Giving Brainlyest

Answers

Answer:

this is a Pentagon , have five sides

Answer:

A Pentagon

Step-by-step explanation:

Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew. Select all the expressions which represent the total number of tomato plants that Lauryn, Padma, and Kent grew.

p + (3p - 5) + (4p +6)

p + (5 - 3p) + (6 + 4p)

p + 11

8p + 1

7p - 1

PLEASE HELP!! IS MORE THAN ONE ANSWER!! WHOEVER GETS IT RIGHT GETS BRAINLYEST!!

Answers

Answer:

p + (3p - 5) + (4p +6)        Correct

p + (5 - 3p) + (6 + 4p)       Not Correct

p + 11                                 Not correct

8p + 1                                Correct

7p - 1                                 Not correct

Step-by-step explanation:

p + (3p - 5) + (4p +6)

simplified = 8p +1

Which statement describes the data in the dot plot?

Answers

Answer:

B) The median of the data is 2

Step-by-step explanation:

1,1,1,1,1,2,2,2,2,3,3,3,5,6

The median is 2

If the cos A= 9/41 , what does the tan A equal?

Answers

Answer:

tanA = 40/9

Step-by-step explanation:

Try to construct a right-angled triangle with it's adjacent side=9 and hypotenuse = 41,

By pyth. theorem, we can get the remaining side (opposite side)

= √(41^2 - 9^2)

= 40

tanA = oppside side/ adjacent side

tanA = 40/9

.H E L P.
choose the best selection for the quadrilateral with vertices at following points
0,0 -2,3 7,0 5,3

Answers

Answer:

The quadrilateral has two pairs of opposite parallel sides and (from the graphing of the points) it is slanted from the vertical, therefore, it is a;

B. Parallelogram

Step-by-step explanation:

The coordinates of the vertices of the given quadrilateral are;

(0, 0), (-2, 3), (7, 0), (5, 3)

Arranging the coordinates according to their y-values and labelled gives;

A(-2, 3), B(5, 3), C(0, 0), D(7, 0)

The graph of the points created with Microsoft Word and Microsoft Excel is attached

From the graph, we have;

Segment AB is parallel to segment CD

The length of segment AB = √((5 - (-2))² + (3 - 3)²) = 7

The length of segment CD = √((7 - 0)² + (0 - 0)²) = 7

∴ The length of segment AB = The length of segment CD

The distance between segment AC and segment BD = Length of segment AB at point A = Length of segment CD at point C

∴ Segment AC is parallel to segment BD (The distance between two parallel lines is the same all through)

The quadrilateral is also observed to be slant from the vertical

Therefore the quadrilateral is a parallelogram

If Angle 1 and 2 are complementary, and Angle 1 measures 33 degrees, what is the measure of Angle 2

Answers

Answer:

147

Step-by-step explanation:

you would do 180 subtracted by the given measurement.

Can someone help me please

Answers

Answer:

15

Step-by-step explanation:

Tuesdays interquartile range is 45, and monday's is 30. 45 - 30 = 15. Hope this helps!

Just need points sorry

In a standard 52−card deck, half of the cards are red and half are black. The 52 cards are divided evenly into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered from 2 to 10.


Suppose a solitaire player has played 600 games. Predict how many times the player turned over a red card as the first card.

The player can expect to turn over a red card about _____ times.

Answers

About 300 times, half of the cards are red right?

Answer:

300 times

Step-by-step explanation:

52 card deck

half are red

halfare black

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