Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase.

Interpret the solution.

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Let x be the number of songs downloaded.

Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.

This cannot be more than 20, so we set this less than or equal to 20:

1.29x ≤ 20.

To solve this, we divide both sides by 1.29:

≤ ;

x ≤15.5.

We cannot download half of a song, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.

Step-by-step explanation:

if you want the sample response then here: If x represents the number of downloads, you can write the inequality 1.29x ≤ 20. Solving the inequality, you find that x is less than or equal to about 15.5. Since he can’t download part of a song, Joseph can download 15 or fewer songs.


Related Questions

A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8).

y -(-8) = -6(x - 2)

y -(-8) = -6x + 12

y -(-8) + 8 = -6x + 12 + 8

y = -6x + 20

Explain why the work is not correct.

HURRY PLEASE!

Answers

If you wrote this in point-slope form, it’ll be y+8=-6(x-2).

This equation written in slope intercept form would be y = -6x+4.

He messed up because he was supposed to change the double negative into a positive then solve. He was not supposed to add 8 on both sides.

So, the answer is y = -6x+4.

Hope this helps!

Ok, so I'm lost here...
Your have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. Use an absolute value equation to find least and biggest amount of money in your pocket?​

Answers

Answer:

boom bam

Step-by-step explanation:

x - 50 = 15

x - 50 + 50 = 15 + 50

x = 65

Equation #2

x - 50 = -15

x - 50 + 50 = -15 + 50

x = 35

The least amount is 35 dollars and the biggest amount is 65 dollars.

Answer: $45

EXPLANATION:If you have 50 dollars, to find the least amount SUBTRACT the $15 not add.

50 - 15 = $45.

What is the sum of the solutions of the 2 equations below?
-14x = 280
9 + 5y = 69


A. -20
B. 12
C. -12
D. -8
E. 8

Answers

Answer:

D. -8

Step-by-step explanation:

-14x = 280

So x = -20

9 + 5y = 69

5y=60

So y=12

-20+12 = -8

will mark brainliest if answered correctly

Answers

63+46=109
180-109=71
Answer:71

Answer:

x=71 degrees

Step-by-step explanation:

Line a passes through points (2, 1) and (7, 9). Line b is perpendicular to a. What is the slope of line b?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

hi :) the slope of line B is -5/8
please refer to the pic below for the solution! :)

The slope of the perpendicular line will be - 5/8.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (2, 1) and (7, 9).

Now,

Since, We know that;

The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

So, The slope of the line passing through the points (2, 1) and (7, 9) is;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (9 - 1) / (7 - 2)

⇒ m = 8 / 5

Since, The product of the slope of the perpendicular lines is - 1.

Here,  Line b is perpendicular to a.

So, The slope of the line b is,

m₂ = - (1/8/5)

    = - 5/8

Thus, The slope of the perpendicular line will be - 5/8.

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The formula that converts degrees Fahrenheit to degrees Celsius is:

C =
5
9
(F – 32)

Rewrite the formula to make F the subject.

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
Answer: F = C/59 + 32

3(4x+2)=8x+24−2x hhhhhhhh

Answers

Answer: x=3

Step-by-step explanation:

1. First lets do the parenthesis 3(4x+2) to get 12x+6

2. 12x+6=8x+24-2x (combine like terms) first lets do 8x and 2x first so its 8-2= 6x

3. 12x+6=6x+24 (now subtract 12x by 6x to get 6x)

4. 6x+6= 24 (now subtract 24 by 6 to get 18)

5. 6x= 18 (now divide 18 by 6 to get 3)

Answer:

x = 3

Step-by-step explanation:

[tex]3(4x+2)=8x+24−2x[/tex]

Expand and simplify

We have

[tex]12x + 6 = 8x + 24 - 2x \\ 12x + 6 = 6x + 24[/tex]

Move 6x to the left side of the equation

[tex]12x - 6x + 6 = 24 \\ 6x + 6 = 24[/tex]

Move 6 to the right side of the equation

[tex]6x = 24 - 6 \\ 6x = 18[/tex]

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{18}{6} \\ [/tex]

We have the final answer as

x = 3

Hope this helps you

Can someone teach me how to do this im a good learner i just missed days

Answers

I’m not very good at explaining but if we explain from the beginning the equation is y=m(x)+b and m means the slope while b means y- intercept so all you have to do is substitute these variables with the numbers in the problem basically it would be y=10x+10 also the picture attached is how you graph it. Hope this helped:)

A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.

9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data set? Round to the nearest hundredths.

0.40
0.72
1.15
2.14

Answers

Answer: 1.15

Step-by-step explanation:

Answer:

1.15 is the answer

Step-by-step explanation:

Which expression can be used to find the output numbers in
the table?

Answers

The answer is:
c. y+3

help meeeeeeeeee plzzzzzzzzzzzzz

Answers

Answer:

91 x

Step-by-step explanation:

29. In the figure below, linee is the graph of which of
the following equations?
-7
.
-4
1
2 3
5
6
A. 2y = x + 2
B. 2y = 2x
C. y = x + 1
D. 2y = x-2
E. 2y = x+1

Answers

Answer:

A)2y=x+2

Step-by-step explanation:

Graph the line for y+2=32(x+4) on the coordinate plane

Answers

Answer:

39

Step-by-step explanation:

(3=4)=7      y+2=32 so y is 30 and 7 + 32 is 39

Jiro and Joey share a 30-ounce box of cereal. By the end of the week, Jiro has eaten 3/10 of the box, and Joey has eaten 3/5 of the box of cereal. How many ounces are left in the box?

Answers

Answer:

6 ounce of cereal

Step-by-step explanation:

Step one:

given that the box is 30 ounce of cereal.

for Jiro----who ate 3/10 of the 30 ounce

=3/10*30

=9 ounce

Jiro ate 9 ounce

step two:

for Joey----who ate 5/10 of the 30 ounce

=5/10*30

=15 ounce

Joey ate 15ounce

the total ounces that both of them ate is

=9+15

=24

therefore the ounce left

=30-24

=6 ounce of cereal

The left over is 6 ounce of cereal

A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can’t quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita?

|x – 42.80| = 12
|x + 42.80| = 12
|x – 12| = 42.80
|x + 12| = 42.80

Answers

Answer:

|x – 42.80| = 12

Step-by-step explanation:

x – 42.80 = -12

x=30.8

x – 42.80 = 12

x=54.8

|x - 42.80| = 12  equation represents the amount of money James may have after he sees Rita

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The equation that represents the amount of money James may have after he sees Rita is |x - 42.80| = 12.

This equation reflects the fact that James either borrowed $12 from Rita

so he would subtract $12 from his current amount, or Rita borrowed $12 from him, so he would add $12 to his current amount.

Therefore, the  |x - 42.80| = 12  equation represents the amount of money James may have after he sees Rita

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Which is the slope of the line that passes through the points (−3,1) and (4,−2)?


CLEAR CHECK

slope =−3

slope =−37

slope =12

slope =−73

Answers

Answer:

The slope of the line is [tex]-\frac{3}{7}[/tex] ⇒ B

Step-by-step explanation:

Let us revise the rule of the slope

The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points lie on the line

∵ The line passes through the point (-3, 1) and point (4, -2)

→ That means one of them is (x1, y1) and the other is (x2, y2)

x1 = -3 and y1 = 1

x2 = 4 and y2 = -2

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-2-1}{4--3}[/tex] = [tex]\frac{-3}{4+3}[/tex]

m = [tex]-\frac{3}{7}[/tex]

The slope of the line is [tex]-\frac{3}{7}[/tex]

24-x-24=-16-24
Solve each step.

Answers

24-x-24=-16-24

1. Subtract the numbers

-x=-16-24

2. -x=-16-24

-x=-40

3.Divide both sides of the equation by the same term

-x=-40

-x/-1=-40/-1

4. simplify

x=40

Find the coordinates of the other endpoint if the midpoint is M(8, 2) and the other endpoint is P(5, 6). O (6.5, 4) (21, 10) O (11, -2)​

Answers

Answer:

(11,-2)

Step-by-step explanation:

11+5 /2=  8

6+-2= -4/2=-2

Answer:

(11,-2)

Step-by-step explanation:

The one point you have is P(5,6)

The midpoint is (8,2)

The other point is (x,y)

(x + 5) /2 = 8

(x + 5) = 8*2

x + 5 = 16

x = 16-5

x = 11

===========

(y + 6)/2 = 2

y + 6 = 2*2

y + 6 = 4

y = 4 - 6

y = - 2

this is due today can anyone help me plsssss

Answers

Answer:

-19.68

-1/10x+8/5

25 1/3

-50

22.75

Step-by-step explanation:

Answer:

6) 22.75gallons

7) -50feets

8) 25⅓ inches

9)2/5

10) -19.68

CAN SOMEBODY HELP ME WITH THIS PLEASE RIGHT ANSWERS ONLY
You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week?

Answers

Answer:

$319.68

Step-by-step explanation:

First, you have to add up all the hours. 4 + 4.5 + 7.25 + 12 = 27.25. Then, you multiply that times the amount of money per hour (11.52) and get $319.68 for the whole week. Hope this helped! If it did, please mark me as brainliest. Thanks!

if DE is a perpendicular bisector find AE

Answers

Answer: dc

Step-by-step explanation:

Answer:

Look at the picture.

By the definition of a perpendicular bisector, we can conclude that angle B is a right angle and DB=BE, and AB is a common line segment shared by both triangles above. Using SAS (Side-Angle-Side), we can conclude that both the triangles are congruent, therefore:

x

10

=

2

x

34

x

=

24

So now for AE:

24

10

=

14

Step-by-step explanation:

Sarah is making chili she has 0.15 g of a secret ingredient to each liter of chili she makes if she has 3 g of her secret ingredient how many liters of chai can she make?

Answers

Answer: She can make 20 liters of chai.

Step-by-step explanation:

As per given,

1 liter of chair requires 0.15 g of secret ingredient.

So , for 1 g of secret ingredient , quantity of chai she would make = [tex]\dfrac{1}{0.15}=\dfrac{100}{15}[/tex]

For 3g  of secret ingredient , quantity of chai she would make = [tex]\dfrac{100}{15}\times3[/tex]

[tex]=\dfrac{100}{5}=20[/tex]

Hence, she can make 20 liters of chai.

She will need 20 litres of chili for 3g of the ingredient

If Sarah is making chili she has 0.15 g of a secret ingredient to each liter of chili, this is expressed as:

0.15g = 1 chili

To get the amount of chili needed for 3g, we can write;

3g = x

Divide both expression

0.15/3 = 1/x

x = 3/0.15

x = 20

Hence she will need 20 litres of chili for 3g of the ingredient

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Kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59 ° , how far is Kurt standing from the base of the pole?

Answers

Answer:

i guess its 24.03 ft

Step-by-step explanation:

let height of pole be perpendicular length and distance from pole be the base .so tan59=P/b..& b= 24.03ft

whats the answer to this I need this asap
will give brainliest

Answers

Answer:

I think is C

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Taking a guess. Pretty sure it’s 59. Bc if x = 59 then it’ll b 59+62 and that equals 121 degrees. That angle is also a obtuse angle. An obtuse angle is a type of angle whose degree measurement is more than 90° but less than 180°.

REALLY SORRY IF IM WRONG

You and a friend are knitting a scarf that will be 72 inches long. Your friend knits the first 24 inches and then gives you the scarf to finish. You expect to knit at a rate of 8 inches per day.

Answers

The total length is 72 inches, and our friend has already done 24 inches. Therefore we will take off 24 from 72, which gives us 48.

At a rate of 8 inches per day, we can work out how long it will take us by doing 48 divide 8, which is 6.

Therefore it would take you 6 days to finish the scarf.

Which number is equivalent to the fraction ?

Answers

Answer:

15/7 = 2.14 or 2 1/7

Hope This Helps!

Answer:

2 1/7

Step-by-step explanation:

15/7 is an improper fraction, in the picture, I have shown you the steps to make a proper fraction to improper

What is the correct answer for both ? ​

Answers

Answer:

19. Option A

20. Option B

Step-by-step explanation:

Answer of 19 is A by using the a^2 - b^2 = ( a - b) ( a + b) so this will be (r-1 )( r+1) because we have r^2 so we have to factorize it


Answer of 20 is B by following the same steps

Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

14

Step-by-step explanation:

Which pairs of expressions are equivalent? Select all that apply.

A
-4 - 7 and -4 + (-7)

B
16 - 7 and -16 + 7

C
-7 - (-12) and -7 + 12

D
-2 - 3 and 2 + 3

E
10 - 2 and 10 - (-2)

Answers

Answer:

A & C

-4-7=-11 and -4+(-)=-11

-7-(-12) and -7+12

Step-by-step explanation:

-4-7= -11, -4+ (-7)= -11

-7-(-12) turns into -7+12=5

the second equation is the same as the first (after using PEDMAS), resulting in the answering being -7+12=5

The pairs of expressions that are equivalent will be -4 - 7 & -4 + (-7) and -7 - (-12) & -7 + 12. Then the correct options are A and C.

What is an equivalent?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Check all the options, then we have

A. -4 - 7 and -4 + (-7), then we have

-4 - 7 = - 4 + (-7)

B. 16 - 7 and -16 + 7, then we have

16 - 7 ≠ - 16 + 7

C. -7 - (-12) and -7 + 12, then we have

- 7 - (-12) = - 7 + 12

D. -2 - 3 and 2 + 3, then we have

- 2 - 3 ≠ 2 + 3

E. 10 - 2 and 10 - (-2), then we have

10 - 2 ≠ 10 - (-2)

The pairs of expressions that are equivalent will be -4 - 7 & -4 + (-7) and -7 - (-12) & -7 + 12. Then the correct options are A and C.

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Assignment #17 Slope from points

Find the slope from the points

This is for algebra 1 and I need help!!

Answers

Answer:

2/3

Step-by-step explanation:

rise over run so you go done then over

Answer:

2/3

Step-by-step explanation:

When counting the slope from points, I like to use this method. Pick 2 points you see the line crosses through and then count the steps up/down and to the side one is from the other. In this case, you can count like this:

"Up 2, over 3"

Now we know the slope is 2/3.

HTH :)

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