Tyson got a $15 gift card to use on song and movie downloads to his tablet. Each movie, m, costs $5 and each song, s, costs $1. Tyson's mom said he must use fewer than 10 downloads and that his total cost could not exceed the $15 amount on the gift card. Which of the following graphs shows the solution set of the system of inequalities?

Answers

Answer 1

Answer:

Step-by-step explanation:

bla bla bla

Answer 2

The solution to the inequality m + s = 10 and 5 m + 1s = 15 is shown in the graph attached below, and as it can be seen the coordinated of intersections are (8.75, 1.25), so option C is correct.

What is inequality?

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal

Given:

Total balance on card = $15,

The cost of each movie = $5,

The cost of each song = $1

The number of downloads = 10,

Write the equation as shown below,

m + s = 10 and 5 m + 1s = 15

Here m is the number of movies and s is the number of songs,

Solve the equation by elimination method,

m = 5/4 = 1.25 and s = 35/4 = 8.75

As you can see, the value of the intersection of inequalities is (8.75, 1.25),

the graph is attached below.

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Related Questions

I-pod Touch for $229.99. The tax rate is 4%. What is the tox

Answers

Answer:

the tax is $9.20

please help i am desperate.

Answers

Answer:

3y +9 = perimeter

Step-by-step explanation:

Answer:

4y+9

Step-by-step explanation:

To find the perimeter , you have to add up all the 4 sides

so y + y+2 + y+4 + y+3 = 4y+ 9

hope it helps

Graham's monthly bank statement showed the following deposits and withdrawals.
- $87.45, - $24.76, $143.87 – $17.29 $348.90
If Graham's balance in the account was $456.78 at the beginning of the month,
what was the account balance at the end of the month?

Answers

Answer:

622.27

Step-by-step explanation:

- $87.45 + (- $24.76) + (-17.29) = $-129.5

$143.87 + $348.90 = $492.77

492.77 - (-129.5) = 622.27

Arrange the steps in the correct order to solve this trigonometric equation 2sin^2 x -sinx -1 =0 for 0 degrees is less than or equal to x is less than or equal to 90 degrees

Answers

Answer:

90°

Step-by-step explanation:

Given the trigonometry equation;

[tex]2sin^2 x -sinx -1 =0[/tex]

Step 1; Let p = sin(x) to have;

[tex]2sin^2 x -sinx -1 =0\\2P^2 -P -1 =0[/tex]

Step 2: factorize the resulting quadratic equation:

[tex]2P^2 -P -1 =0\\2P^2 -2P+P -1 =0\\\2P(P-1)+1(P-1)=0\\(2P+1)(P-1) = 0\\2P + 1 = 0 \ and \ P-1 = 0\\P = -1/2 \ and \ P =1[/tex]

Step 3: Find x:

when p = 1

sin(x) = 1

[tex]x = sin^{-1}1\\x = 90^0[/tex]

also when p -1/2

sin (x) = -1/2

[tex]x = sin^{-1}-1/2\\x = -30^0\\[/tex]

[tex]x = 180-30\\x = 150^0[/tex]

Since 150° is not within the range 0<x<90, then the only solution is 90°

A certain star is 2.4 x 102 light years from the Earth. One light year is about 5.9 x 1012 miles. How far
from the earth (in miles) is the star?
TL
miles from Farth

Answers

The distance of the earth from the star is; 1.416 x 10¹⁵ miles

What are exponents?

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

We are given that 1 light year ≈ 5.9 x 10¹² miles

so: the Coefficients for the problem are mathematically given a

Coefficients =2.4 x 5.9

Coefficients = 14.16

For Exponents;

Exponents= 10² x 10¹² = 10⁽²⁺¹²⁾

Exponents =10¹⁴

In conclusion, we put them together once again to produce a scientific notation;

14.16 x 10¹⁴

1.416 x 10¹⁵ miles

The distance of the earth from the star is; 1.416 x 10¹⁵ miles

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Four lines are drawn on a coordinate plane to form trapezoid WXYZ.

A coordinate grid with 4 lines. Line X W is drawn with point W at (negative 4, 1) and passes through (0, 2) with and (3, 3). Line Y X is drawn with point Y at (3, 0) and passes through (0, 3). Line Z W is drawn with point Z at (0, negative 3) and point W at (negative 4, 1). LIne Z Y is drawn with point Y at (3, 0) and point Z at (0, negative 3).

Which statements are true about the lines? Select three options.

Answers

Answer:

A,C,D

Step-by-step explanation:

Answer:

A C D

Step-by-step explination

it just is

help me thanks . please

Answers

Answer:

0.1 > 10^-2

(I'm pretty sure I'm right. sorry if im wrong :(

one number is nine more than another number, if the sum of the number is 65, find both numbers

Answers

Answer:

28 and 37

Step-by-step explanation:

Answer:

28 and 37

Step-by-step explanation:

This is very simple actually!

First subtract the 9:

65 - 9 = 56

Then divide by 2:

56 ÷ 2 = 28

28 is one of your answers. If we want to find the other one, then add back 9

28 + 9 = 37

That's it!

Hope this helped :)

At a basketball game, 3 out of every 10 people who enter the gym will be wearing hats. If 250 people attend the game, about how many of them will probably be wearing hats?

75 people

80 people

65 people

70 people

Answers

Its 75 honestly how i did it was just 25x10 then 3x25 which is 75

help ill give brainlist

Answers

Answer:

I think it's -0.5 so F

Step-by-step explanation:

work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)

Answers

Answer:

Y=-2x+9

Step-by-step explanation:

The first thing is to know the formula which is Y÷x

Then... The line (1,7)use the coordinates Y and X so it will be as follows... Label 1 and 7 as x, y

So it will be Y-7÷X-1 = the gradient which is - 2

So multiply both sides by X-1

So it will be Y-7=2x+2 again be careful because a negative number multiplied by another negative will give you a positive sign

Remember Y-7....... Take 7 to the other side so it will be a positive...... Then work out the integers

Tom buys a CD for $12.00. He sells it for $15.00. $15.00 is what percent of his original cost?

Answers

Answer:

The answer is 125%

Step-by-step explanation:

Fraction calculator

Just got a 100 point question skim answered HA

Answers

Answer:

THis is not a question

Step-by-step explanation:

Cora and Hannah measured how high their pet frogs could jump. Cora's jumped x inches,
Hannah's jumped 5 inches less than Cora's. The frogs jumped a total of 53 inches together.
Circle the number that shows the distance Hannah's frog jumped.

Answers

can i see the question or the picture of it?

A cookie factory uses 1/6 of a bag of flour in each batch of cookies the factory used 1/2 of a bag of flour yesterday how many batches of cookies did the factory make

Answers

Answer:

they made 3 batchs

Step-by-step explanation:

A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?

Answers

Answer:

Step-by-step explanation:

12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.

12*2= 24 km/h

help me please i have 2 more after this

Answers

Answer:

poop

Step-by-step explanation:

asdasdasd

Answer:

114

Step-by-step explanation:

corresponding angles

congruent

Which statement correctly compares the function shown on this graph with
the function y = 2x - 5?

Answers

I need to see the graph in order to anwser

Answer:

c is the answer

Step-by-step explanation:

How do I find the missing sides in the triangle?

Answers

Answer:

x=14 y=10

Step-by-step explanation:

3x-9=x-8
what is X??

Answers

Answer:

x=½

Step-by-step explanation:

3x-9=x-8(Group like terms)

3x-x=-8+9(You will subtract x which is also 1x from 3x which is going to be 2x Then you will add -8 to 9 making it 1(positive)).

2x=1(Divide both sides by 2)

x=½

Answer:

0.5

Step-by-step explanation:

3x-9=x-8

3x=x-8+9

3x=x+1

3x-x=+1

2x=+1

x=1/2

x=0.5

What is 3÷4? Draw a diagram that explains how you know.

Answers

Answer:

3 divided by 4 is 0.75

Step-by-step explanation:

Answer:

Answer: 3 divided by 4 is 0.75 .

Step-by-step explanation:

What method would i use to solve this?

Answers

I think it’s 3 at least from my knowledge

You move right seven units. You end at 2,2. Where did you start?

Answers

Answer:

(2-7,2) = (-5,2)

Step-by-step explanation:

Please help! I will give brainlist, if I can

Answers

It is B glad I could help!

your awnser is C

Step-by-step explanation:

cause you'll need to multiply 1.05 × 15 then divide by 100

write the missing decimal so the each pair adds to 1

Answers

Answer:

top one is 0.6 bottom one is 0.1

Asapppp, plssss help meee :(

Answers

D because the x coordinate 1 has multiple y’s

Question in picture pls hurry im timed

Answers

Answer:

256

Step-by-step explanation:

4*4*4*4=256

Hope this helps!!

Please help me with this

Answers

Step-by-step explanation:

3/4 x 11/11 = 44

7/12 x 5/5 = 35/60

18/72 = 6/6 x 3/12

Topic: Fractions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

b. The total cost (1) after 8% sales tax is added to an item's price (p): 1.08p =
=f
Is there a proportional relationship

Answers

Answer:

Step-by-step explanation:

Yes, there is a proportional relationship between the total cost (f) after 8% sales tax is added and the item's price (p).

Here,

In this case, the total cost (f) is calculated by multiplying the item's price (p) by 1.08 (which is 100% + 8% sales tax in decimal form).

Mathematically, this can be represented as:

f = 1.08p

The equation shows that the total cost (f) is directly proportional to the item's price (p) with a proportionality constant of 1.08.

This means that as the item's price (p) increases, the total cost (f) will also increase proportionally by 8% due to the added sales tax.

Similarly, if the item's price (p) decreases, the total cost (f) will also decrease proportionally by 8%.

This relationship holds true for all values of p and f as long as the sales tax rate remains constant at 8%.

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GR8reg_Math_T3_USA_OL_FY21 Question: 1-1
Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.

How much faster did Malcolm's family travel then theo's family

Answers

Answer:

Step-by-step explanation:

Since the Theo family are going 50 per hour so that is 50=t for the Theo family in the promblem it talks about Malcolmś family being 65t how many number are they apart

+15

-------

15 is your answer

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