Robert spent $45 buying songs and movies at an online store that charges 1.75 for each song and $2.50 for each movie he purchased a total of 20 songs and movies combined write a system of equations that represents this situation

Answers

Answer 1

Answer:

x= number of songs bought

y= number of movies bought

1.75*x + 2.5*y = 45

x + y = 20

Step-by-step explanation:

Giving the following information:

Robert spent $45 buying songs and movies at an online store that charges 1.75 for each song and $2.50 for each movie he purchased a total of 20 songs and movies combined.

We need to establish a system of equations that represents this situation.

x= number of songs bought

y= number of movies bought

1.75*x + 2.5*y = 45

x + y = 20

Now, we can determine the x and y:

x= 20 - y

Substitute x:

1.75*(20 - y) + 2.5y = 45

35 - 1.75y + 2.5y = 45

0.75y = 10

y= 13

x= 20 - 13

x= 7

Prove:

1.75*7 + 2.5*13 = 45

7 + 13 = 20


Related Questions

A builder needed to buy one hundred fifty-four boards for his latest project. If the board he needs comes in packs of three, how many packets will he need to buy

Answers

Answer:

51.3 packets or 51 1/3 packers

Step-by-step explanation:

From the above question:

The board he needs comes in packs of three. This means

1 pack = 3 boards

Hence:

3 boards = 1 packet

154 boards = x

Cross Multiply

3x = 154

x = 154/3

x = 51.333333333 packets

Approximately = 51.3 packets or 51 1/3 packers

The builder will need to buy 51.3 packets or 51 1/3 packers

Given: CD = 1, and
Find the elements of D.
a
a =
-2 4 1
C = 1 0 3
- 2 3 -1
»E
a b
D= d e
19
h
f
i
b=
CE
d=
DIUIIIII
e =
f =
g=
h =

Answers

Answer:

1, and Find the elements of D. a a = -2 4 1 C = 1 0 3 - 2 3 -1 »E a b D= d e 19 h f ... - did not match any documents.

Suggestions:

Step-by-step explanation:

1, and Find the elements of D. a a = -2 4 1 C = 1 0 3 - 2 3 -1 »E a b D= d e 19 h f ... - did not match any documents.

Suggestions:

Answer:

a=-9

b=7

c=12

d=-5

e=4

f=7

g=3

h=-2

i=-4

Step-by-step explanation:

Don't forget to add the negative signs on a, d, h, and i

Edg 2020-2021

Help me with math please

Answers

Answer: 464

Step-by-step explanation:

There are 1,200 bacteria in a lab dish. The population decreases 10% per day. Compare the decrease in the population for days 1 to 3 with the decrease for days 4 to 6.

Complete the sentence with “more quickly,” “less quickly,” or “at
the same rate.”

The population decreases [ Select ] from day 1 to day 3 than from day 4 to day 6.

Answers

The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The total number of bacteria in lab dish is 1200

The population decreases 10% per day

In first day:

10/100×1200=120

120 bacteria decreased in lab

1200-120=1080

In second day:

0.1×1080=108

1080-108=972

In third day

0.1×972=97.2

972-97.2=874.8

In fourth day

0.1×874.8=87.48

874.8-87.48=787.32

In fifth day

0.1×787.32=78.732

787.32-78.732

708.588

The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.

Hence, the population decreases  more quickly from day 1 to day 3 than from day 4 to day 6.

To learn more on Percentage click:

brainly.com/question/28269290

#SPJ1

help please will mark branniest
thanks :)

Answers

Answer:

the first one is the 2 method for cpm and the second one is to seperate the other variable. the last one is say its a combination of both removing zeros and balanced sets. hope this helped :)

I WILL GIVE BRAINLIEST TO CORRECT ANSWER
-x<-x+7(x-2)

Answers

Answer:

x>2

Step-by-step explanation:

0<7x-14

-7x<-14

x>2

hope that's right

Answer:

x > 2

Step-by-step explanation:

-x < -x+7(x-2)

0 < 7(x-2)

0 < x-2

x > 2

(edited)

) What are the solutions of -1<=x-3<4 ?​

Answers

The solutions are 1!42

19. Find the measurement

HELP ME!!!! ASAP!!

Answers

Answer:

144

Plzzzzz give me Brainliest!!!!!  

I think it would be 180 - 36 = 144
Hope it is useful ;)



Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the
rest are green. What part of Wyatt's marbles are red?

Answers

Answer:

6 and 2/5

Step-by-step explanation:

20% of 32 is 6.4

Please help me with this question

Answers

Step-by-step explanation:

y-intercept in the point x = 0

B) is the easiest

g(x) or y value

g(x) = 3x² + 6x -9

= 3(0)² + 6(0) -9

= 0 + 0 -9

= -9

y-intercept = (0,-9)

The scale drawing of a building measures 3 in. by 5 in. The scale is ¼ in = 2 feet. What is the area of the actual building?

Answers

Answer:

24ft. by 40ft

Hey guys can you help me with these im kinda busy and dont feel like doing them

Answers

Answer:

yes Whyy?

Step-by-step explanation:

walalang Sagot mo yan HAHAHAHAH

A 50% DISCOUNT IF THE SWAETSHIRT COST $64.75, HOW MUCH DID ADAM PAY ROUNDED TO THE NEASRT HUNDERTHS

Answers

Answer: $32.38

Explanation:

64.75 = 100%

So that mean 50% would be half of 64.75

64.75 ÷ 2 = 32.375

Rewrite the explicit formula in function form. The identify the y
intercept of the function.
an = 9-3(n-1)

Answers

Answer: y-intercept: (0, 12)

Step-by-step explanation:

[tex]a_n[/tex] = 9 − 3 (n − 1)

Use the slope-intercept form to find the slope and y-intercept.

  The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

     y = mx + b

  Find the values of m and b using the form y = mx + b.

     m = −3

     b = 12

  The slope of the line is the value of m, and the y-intercept is the value of b.

     Slope: −3

     intercept: (0, 12)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

  Find the x-intercept.

     To find the x-intercept(s), substitute in 0 for y and solve for x.

        0 = −3x + 12

      Solve the equation.

        Rewrite the equation as −3x + 12 = 0.

              −3x + 12 = 0

         Subtract 12 from both sides of the equation.

              −3x = −12

         Divide each term by −3 and simplify.

              x = 4

     x-intercept(s) in point form.

     x-intercept(s): (4, 0)

  Find the y-intercept.

     To find the y-intercept(s), substitute in 0 for x and solve for y.

        y = −3 ⋅ 0 + 12

   Solve the equation.

     Remove parentheses.

           y = −3 ⋅ 0 + 12

       Simplify −3 ⋅ 0 + 12.

           y = 12

     intercept(s) in point form.

     intercept(s): (0, 12)

  Create a table of the x and y values.

      x | y

     0 | 12

     4 | 0

Graph the line using the slope and the y-intercept, or the points.

Slope: −3

intercept: (0, 12)

One solution to a quadratic equation is x = -2i
What is the other solution?

Answers

I believe it would be x=2i

:)

express the following ratio in their simplest form 45cent: $2.25​

Answers

Answer:

$1.80

Step-by-step explanation:

i had this question

what is the equation of the line in the graph?

Answers

Answer:

y=-1x-2

Step-by-step explanation:

hope it helps ^^

Answer:

y = -x - 2

Step-by-step explanation:

Since we have a straight, linear line, the line follows the y = mx + b format

The line moves one unit down for every unit to the right, making m = 1

Since the line has a downward slope, m = -1

Since the line crosses the y-axis at -2, b = -2

Therefore, the equation is y = -1x - 2 or more simplified, y = -x - 2

Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation? Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8

Answers

Answer:Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8

Step-by-step explanation:

Answer: -8

Step-by-step explanation:

A small box holds 20 shirts. A large box holds 165% as many shirts as than a
small box. How many shirts does the large box hold?

Answers

Answer:

33 shirts

Step-by-step explanation:

100% of 20 = 20

65% of 20 = 13

total = 33

Need help with this?

Answers

Answer:

Half of the possible choices as far as I know are not shown in the picture but your answer should be the graph that is 5 units down than the center of the graph.

Please help me!!!!!!

Answers

Answer:

I am sorry but this is too difficult

Step-by-step explanation:

I recommend asking a teacher for help not to be rude

Aaron invested $570 in an account paying an interest rate of 7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 8 years?

Answers

Answer:

The amount of money that would be in the account after 8 years is approximately $998

Step-by-step explanation:

The given parameters for the compound interest investment are;

The amount Aaron invested = $570

The interest rate of the investment = 7%

The mode of compounding of the interest = Continuously

The number of years the amount is invested = 8 years

For a compounded continuously interest rate, we have;

[tex]A = P \cdot e^{r \cdot t}[/tex]

Where;

A = The future value =The amount realized from the investment after the time of investment

P = The initial value = The principal amount invested

e = Euler's number = Mathematical constant

r = The interest rate = 7%

t = The time of investment = 8 years

Therefore, by substituting the known values, we have;

[tex]A = 570 \times e^{0.07 \times 8} \approx 997.883325[/tex]

The amount of money that would be in the account after 8 years to the nearest dollar = The future value of the investment = A ≈ 998

The amount of money that would be in the account after 8 years to the nearest dollar ≈ $998.

Answer this please will give brainliest

Answers

Answer:

answer is 4

Step-by-step explanation:

Answer:

I can't see it well, some part of the question cut out. I suggest you to delete this question and make a new one so we can see it better, and be able to help

Step-by-step explanation:

A town park has two biking trails. Marsh trail is 5 3/10 Miles long . Woodland Trail is 2 4/5 Long. How much longer is Marsh trail than woodland trail?

Answers

Answer:

3 1/5 i think srry if im wrong

Step-by-step explanation:

Find the roots of the following factored quadratic equation.
y= (2x-9) (7x-4)

Answers

Answer:

x = 4.5, 4/7

Step-by-step explanation:

To find the roots of a factored equation you need to set the y value at 0, that way you can solve for x. Once you solve for x you get two quantities, which can be graphed. These two quantities are where the x intercepts are.

y = -2/3 x in standard form

Answers

Answer: y = -2/3x in standard form is 2x + 3y = 0

Answer:

x + y = -2/3

Step-by-step explanation:

When changing something to standard form, you want all variables on one side, and the remaining numbers gone.

will give brainliest please help:)

Simplify:
-3-8(-5x - 1)​

Answers

Answer:

5+40x

Step-by-step explanation:

I hope this helps. Best of luck.

Answer:

-11 times by -6x

Step-by-step explanation:

What is the slope of a line parallel to the line whose equation is y=3x + 4?​

Answers

Answer:

The slope of any line parallel to y=3x+4 would be 3!

Step-by-step explanation:

When lines are parallel, they always have the same slope!

When lines are perpendicular, the slope would be the negative reciprocal!

I hope this helps!

HELP! I’ll MARK BRAINLIEST
contestants indoor run-and-bike-a-thon run for a specified length of time, then bike for a specified length of time. Jason ran at an average speed of 5.2 mi/H and biked at an average speed of 20.2 mi/H, go in a total of 14.6 miles. Seth ran at an average speed of 10.4 mi/H and bite at an average speed of 18.8 mi/H, going a total of 17.8 miles. For how long do contestants run and for how long do they bike? Round to the nearest hundred if necessary.

Answers

Answer:

they ran 5 and 2 and half hour

Step-by-step explanation:

they ran 5 and 2 and half hour

Choose the definition for the function.

Answers

Answer: C

Step-by-step explanation:

Other Questions
Find the equation of the perpendicular line to 2x-5y-10=0 and containing point (-1,5) 3.5s + 5.1s simplified Special Right Triangles Need help dont understand this. Help!!!!!! Find x and y so the quadrilateral is a parallelogram. Tyler's brother earns a commission. He makes 2.5% of the amount hesells. Last week, he sold $900 worth of shoes. How much was hiscommission? 10. The community garden has 4acres. Each garden plot is 1/3 of anacre. How many garden plots arethere in the garden?6th grade math i need help on this please The hypotenuse of a 45 degrees - 45 degrees - 90 degrees triangle is 5sqrt(6) Find the length of one leg of the right triangle I just learned this kind of confused :( Part A Which Statement is accurate based on the events of Saving Tobe?1.Tobe pressures Osvaldo into going into the river2.Tobe and Osvaldo have a tendency to get in trouble3.The boys hope other kids will join them at the river.4.Osvaldo has been visiting the river to swim for many years. How does a zygote divide..? Meiosis or mitosis? Why? HELP 5TH GRADE QUESTION!!!Question 2 (1 point)What is the decimal number 34.576 written in expanded form?a3x10 + 1x1 + 5 x+ 4x1.000*(+)+7x(100)xob3x10 + 3 x 1+ 6 x+ 7x+ 5x1,00013x10 + 7x1 + 5 x+ 4x1+ 6x1,000100d3x10 + 4x1+5 x+ 7x(100)+ 6 x1.000)11,000 Each side length of the triangle is doubled. What is the area of the new figure? Solve for x. Show all work for credit. need help asap please !! 1. Use the Pythagorean Theorem to find x.1916 What does an electromaget do How can young people help fulfill Dr. Martin Luther King's dream for America? 5 facts about Buddhism Writing a descriptionDescribe a journey by bus as suggested by this picture[40 marks]