Bruce bought two books. One book costs $4.00 more than three times the other. Together, the two books cost him $72.

Answers

Answer 1

Step-by-step explanation:

The variables can be represented as x and y for the two books.

y=3x+4

x+y=72

Use substitution or elimination to solve the problem. I would personally go with substitution, but its all personal preference.


Related Questions

Carta and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost sa5 and was on sale for 20% off the original price. Which suitcase was the bra? A Carta because her sutase cot $11 25 2. Daniel because his suitcase cot $17. Can cause decor, ST12 D. Dariel because ts sutcace was docoumed by S17

Answers

Answer:

Carla's suitcase was a better purchase.

Step-by-step explanation:

The complete question is:

Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?

Solution:

Cost Price of Carla's suitcase = $75

        Discount% for Carla = 19%

        The amount paid by Carla is,

        [tex]\text{Amount}=CP\times [1-d\%]=75\times [1-0.19]=60.75[/tex]

        So, the amount paid by Carla was, $60.75.

Cost Price of Jeana's suitcase = $85

        Discount% for Jeana = 20%

        The amount paid by Jeana is,

        [tex]\text{Amount}=CP\times [1-d\%]=85\times [1-0.20]=68[/tex]

        So, the amount paid by Jeana was, $68.

Carla's suitcase was a better purchase.

Which is grater 1/2 2/3 1/4 5/6

Answers

Answer:

5/6 is the greatest, it is closer to a whole number

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

1/2 is only half

2/3 is very close

1/4 is not close at all

5/6 is the best answer

Which values of a, b, and c correctly represent the answer in simplest form? PLEASE HELP I AM BEING TIMED TRYING TO HELP OUT MY LITTLE SISTER, I WILL MARK BRAINLIEST!!!!!!!!!
4 1/2 division sign 1 1/4 = a b/c?

A. a=3, b=6, c=10
B. a=3, b= 3, c=5
C. a= 5, b= 3, c=3
D. a=10, b=6, c=

Answers

[tex]4 \frac{1}{2} \div 1 \frac{1}{4} [/tex]

[tex] \frac{9}{2} \div \frac{5}{4} [/tex]

[tex] \frac{9}{2} \times \frac{4}{5} [/tex]

[tex] \frac{36}{10} [/tex]

[tex] \frac{36}{10} \: as \: a \: mixed \: fraction \ \: : [/tex]

[tex]3 \frac{6}{10} [/tex]

In place of A , 3 is there , in place of B , 6 is there and in place of C , 10 is there .

Therefore , the correct option is :-

[tex]A. a = 3 , b = 6 , c = 10

[/tex]

Un robot en Marte tiene los siguientes desplazamientos antes de lograr encontrar el lugar con las coordenadas indicadas para empezar a analizar . Su desplazamiento es de: 25 m al Sur, 35 m a 15° partiendo del Este hacia el Norte y por último 20 m a 37° partiendo del Oeste hacia el Norte. Encuentra el desplazamiento de su recorrido

Answers

Answer:

El desplazamiento total del robot es de aproximadamente 17.4 m 12.35° al sur del este

Step-by-step explanation:

El movimiento del robot en Marte se da como sigue;

1) El desplazamiento sur = 25 m

2) El desplazamiento 15 ° al norte del este = 35 m

3) El desplazamiento 37 ° al norte del oeste = 20 m

Por lo tanto, tenemos la moción en forma vectorial;

1) -25[tex]\hat j[/tex]

2) 35·cos(15°)[tex]\hat i[/tex] + 35·sin(15°)[tex]\hat j[/tex]

3) -20·cos(37)[tex]\hat i[/tex] + 20·sin(37°)[tex]\hat j[/tex]

Por lo tanto, tenemos el desplazamiento resultante total, R, del robot está dado por la suma de los vectores como sigue;

R =  (35·cos(15°) - 20·cos(37)) [tex]\hat i[/tex] + (35·sin(15°) + 20·sin(37°) - 25)[tex]\hat j[/tex]

R = 17.8346937192 [tex]\hat i[/tex] - 3.9050329583 [tex]\hat j[/tex]  

La magnitud de R = √ ((17.8346937192) ² + (-3.9050329583) ²) ≈ 17.4 m

La magnitud de R ≈ 17,4 m

La dirección de R = Arctan ((- 3.9050329583) / (17.8346937192)) ≈ -12.35 °

La dirección de R ≈ -12,35 °

La dirección es aproximadamente 12,35 ° al sur del este

El desplazamiento total del robot es de aproximadamente 17.4 m 12.35 ° al sur del este

NEED HELP ASAP!! need anwsers for 3 & 5

Answers

Answer:

y

x

Step-by-step explanation:

simple stuff, which part don't you get?

Which describes the reflection of the figure?
A) reflection over the x-axis
B) reflection over the y-axis
C) reflection over the line y=3
D) reflection over the line y=-3

Answers

Answer:

reflection over the x axis

Step-by-step explanation:

always remember reflection over x-axis values of y will change reflection over y axis the values of x will change

Nine less than one fourth of a number 6. Find the number.

Answers

5.3057(600)578)542)(200)

PLEASE HELP ME OUT IF YOU CAN

Answers

Answer:

D

Step-by-step explanation:

Write these expressions as the square of a monomial.
81x4 (81x4 means 81x to the power of 4)
121a6 (the 6 means to the power of 6)
0.09y12 (The 12 means to the power of 12)
4/9b6 (The 6 means to the power of 6)
PLEASE HELP ASAP! WILL GIVE BRAINLIEST IF YOU SHOW STEPS!

Answers

Answer:

81x4 = (9x^2)^2, 121a6 = (11a^3)^2, 0.09y12 = (0.3y^6)^2, 4/9b6 = (2/3b^3)^2

Step-by-step explanation:

sqrt of 81 = 9, (we do sqrt because its the inverse to exponents) x^4, x^2 * x^2 = (9x^2)^2

sqrt of 121 = 11, a^6, a^x * a^2 = a^6, x = 3, (11a^3)^2

sqrt of 0.09 = 0.3, y^12 = y^x * y^2, x=6,(0.3y^6)^2

sqrt of 4/9 = 2/3, b^x * b^2 = b^6, x = 3, (2/3b^3)^2

^ = power, * = multiplication

Casey bought 3/8 pound of plums and 5/12 pound of bananas. How many pounds of fruit did he buy?

Answers

Answer:

19/24 pounds

Step-by-step explanation:

To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).

[tex] \frac{3}{8} + \frac{5}{12} [/tex]

[tex] \frac{3 \times 3}{8 \times 3} + \frac{5 \times 2}{12 \times 2} [/tex]

[tex] \frac{9}{24} + \frac{10}{24} [/tex]

[tex] \frac{19}{24} [/tex]

Jaime needs a new roof on her house. The cash cost is $7500. She decides to finance the project by paying 20% down , with the balance paid in 36 monthly payments of $189.40. (a) What finance charge will Jaime pay? (b) What is the APR to the nearest half percent ?

Answers

Answer:

(a) What finance charge will Jaime pay?

$818.4

(b) What is the APR to the nearest half percent ?

8.5%

Step-by-step explanation:

(a) What finance charge will Jaime pay?

The cash cost is $7500. She decides to finance the project by paying 20% down

Amount paid for down payment = $7500 × 20/100

= $1500

Amount left = $7500 - $1500

= $6000

The balance paid in 36 monthly payments of $189.40.

Hence: $189.40 × 36 = $6818.4

The finance charge = $6818.4 - $6000

= $818.4

(b) What is the APR to the nearest half percent ?

Step 1

Finance charge/ Amount left × 100

= 818.4/6000 × 100

= 13.64

Using the APR table:

The APR to the nearest half percent = 8.5%

Carlos sold 6 cellphones every hour during the day, but in the morning he already ha $1,250 in the register. What is the expression that represents the total amount of money that he should have in the register in a given hour?

A: $1250
B: 6x
C: 6x + 1250
D: 1250x + 6

Answers

Answer: 6x+1250

Step-by-step explanation:

Amount already in the register = $1250

Number of phones sold every hour = 6

Price of the phone = x

The expression that represents the total amount of money that he should have in the register in a given hour will be:

= $1250 + $6x.

Therefore, option C that is 6x + 1250 is the correct answer.

a plus zero equals a is an example of which addition property ​

Answers

Answer

:Identity Property of Addition

Step-by-step explanation:

Given m|n, find the value of x.
t
m
(9x+23)
(10x+6)°
Someone help?

Answers

Since M is parallel to N that means they would have to equal each other.

Can someone help me it would be appreciated

Answers

Answer:

X^6 is the GCF

Step-by-step explanation:

Because what x^6 is will be more than x^4

Min Jee wants to build a small patio. It will be 70 inches long and 49 inches wide. She can't decide whether to use brick or concrete paver stones. Each brick covers an area of 3 1/2inches by 7 1/2 inches and costs $0.59. Each paver covers an area 8.4 inches by 8.4 inches and costs $1.88. Which would be less expensive to use, and by how much?

Answers

Step-by-step explanation:

firstly, let us solve for the area of the patio, from the information given the patio we have a rectangular orientation.

Area of patio

length=70in

width=49in

Area=70x49

Area=3430in^2

Area of brick

length=7.5in

width=3.5in

Area=7.5x3.5

Area=26.25in^2

Amount of brick needed =3430/26.25

Amount of brick needed =130.66

The Total cost of brick=130.66x0.59

The Total cost of brick=$77.09

Area of paver

length=8.4in

width=8.4in

Area=8.4x8.4

Area=70.56in^2

Amount of brick needed =3430/70.56

Amount of brick needed =48.61

The Total cost of brick=48.61x1.88

The Total cost of brick=$91.38

Brick would be less expensive by =91.38-77.09= $14.29

Ms. Chang fills gum and trinket machines in front of grocery stores. In the trinket machine, there are two types of trinkets: lockets and stickers. If Ms. Chang puts 15 lockets and 25 stickers in an empty machine, what is the ratio of stickers to all the trinkets in the machine?

Answers

Answer:

3:5

Step-by-step explanation:

the initial ratio is

15:25

we can divide both numbers by five though

15/5=3

25/5=5

3:5

I hope this helped :)

Find the function that can be used to represent the bananas

Answers

Answer:

it the 3rd one or the first

Step-by-step explanation:

OMG i dont remember to find square roots
can someone please explain why 5√ 5 is equal to √ 125

15 pts and brainliest!

Answers

Answer:

5

Step-by-step explanation:

√125 / 5= √25 since  125 / 5 =25

√25 = 5

Answer:

5x25

Step-by-step explanation:

since its 5 you multiply it by 5 and then multiply why you got to another 5

Solve for x plz show all the work. x/3=6

Answers

Answer: x=18

Step-by-step explanation:

X/3=6

We want to get x alone so we multiply both sides by 3

X=18

An aquarium is being filled at a rate of 2.5 inches per second. The equationLaTeX: y=2.5xy = 2.5 x is used to determine the height of the water after LaTeX: xx seconds. Find the domain and range of the situation if it takes 60 seconds to fill the aquarium.

Answers

Answer:

Step-by-step explanation:

Given the equation y = 2,5x

y is the height of the water

x is the time.

To get the range of values of the height at t = 60s, we will substitute x = 60 into the function

y = 2.5(60)

y = 150 in

Hence the range of the situation is [0, 150].

The domain will be all positive integers i.e xEZ

45 + 15(n − 1) for n = 6

Answers

Answer:

120

Step-by-step explanation:

45 + 15 (6 -1)

45 + 15 (5)

45 + 75

120

A flat screen television measures diagonally 40 inches and 24 inches in length. What
is the width of the television?
32 in.
G 35 in.
H 51 in.
64 in.

Answers

The width should be 32 inches.

What’s the volume to this shape?

Answers

Answer:

30x^6

Step-by-step explanation:

5×2×3=30

x+x+x+x+x+x=6x

Indices gets added when they are multiplied

Answer:

[tex]540x^{3}[/tex]

Step-by-step explanation:

First, we need to simplify all over the cubes and squares.

2x^2 = 4x

3x^3 = 27x

5x=5x

Then , we need to multiply them together.

27x*4x= 108x

108x*5x = 540x

Now, we have our answer

At an opening of a new art gallery, the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. If the number of guests attending the opening was 56% more than expected, then how much was the final food cost?


$234.00
$357.00
$637.50
$994.50

Answers

Answer: $994.50

Step-by-step explanation:

From the question, we are informed that the owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. This means that the total cost to cater for the 150 people will be:

= 150 × $4.25

= $637.5

We are further told that the number of guests attending the opening was 56% more than expected, then the final food cost will be represented by:

= $637.5 + (56% × $637.5)

= $637.5 + (0.56 × $637.5)

= $637.5 + $357

= $994.50

Why do people think maths as a hard subject
Do you feel math is hard

Answers

No, math is the easiest subject for me and my favorite ! But sometimes it can be hard if u don’t understand.
math is different for everyone. i personally enjoy math. also can you please thank this i need points lol

Can y’all help me please:)

Answers

Answer:-9

Step-by-step explanation:

that is the answer

Slope -2/3 , x-intercept at 3

Answers

Answer:

Y=(-3)x+6

Step-by-step explanation:

Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires. If she has 12 attires now, how many attires did Clara had initially?

Write the equation to be used to solve this equation.

Answers

Answer:

i think 4 attires

Step-by-step explanation:

Please help me out with this!! No joke answers!

Answers

Answer:

13 protons

14 neutrons

13 electrons

Step-by-step explanation:

protons and electrons are mostly always the same

Answer:

Number of Protons 13

Number of Neutrons 14

Number of Electrons 13

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