Which situation can be represented by this inequality?

135 ≤ 10r + 15

Question 6 options:

A-Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?


B-Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?


C-Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?


D-Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?

Answers

Answer 1

The true option is: (d) Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?

The inequality is given as:

[tex]\mathbf{135 \le 10r + 15}[/tex]

Rewrite as:

[tex]\mathbf{10r + 15\ge 135 }[/tex]

From the options, we can see that the inequality represents songs in a music player.

Linear inequalities can be represented as:

[tex]\mathbf{mx + b \ge y}[/tex]

Where:

m represents the rate i.e. 10

b represents the y-intercept or base i.e. 15

>= represents at least

So, the inequality can be interpreted as:

10 songs are added every monthThe base number of songs is 15He wants to have at least 135 songs

Hence, the true option is (d)

Read more about linear inequalities at:

https://brainly.com/question/11897796


Related Questions

Find the value of each variable.
X=?

Answers

Answer:

x=3

Step-by-step explanation:

The equation is x² + 5x = 24, so 3² +15 would be the perfect match. This is because 9+15=24.


Roy bought a drum set for $422 and a guitar E La
for $358. If sales tax is 7.5%, what is the total
a free
cost of the instruments, including tax?
The in
amour

Answers

Answer:

The final total including tax is 838.5

The sale tax is 58.5

Step-by-step explanation:

Find three consecutive whole numbers such that the sum of the squares of the numbers is equal to 434

Answers

Answer:

[tex]\left \{ {{x^2+y^2+z^2=434} \atop {x-y-z=0}} \right.[/tex]

Step-by-step explanation:

how do you solve this inequality
[tex]2x - y \leqslant 3[/tex]


Answers

Step-by-step explanation:

I said in your comments, you can solve it for each variables

you have 2 answers

1) 2x<y+3

[tex]x \leqslant \frac{y + 3}{2} [/tex]

2)

[tex]y \geqslant 2x - 3[/tex]

Martha, Brett, and Mike are competing in a cooking competition. They all used different amounts of oil from a can containing 8 gallons of oil.

Martha used 17% of the total oil in the can.
Brett used 0.18 of the total oil in the can.
Mike used 0.7 gallon of the total oil in the can.
Who used the greatest amount of oil from the can? Show your work and explain your answer in words. (10 points)

Answers

Answer:

Mike

Step-by-step explanation:

17% = .17

.7 = .70

All that's left is to compare the amounts of oi for each person and decide who has the most, which would be Mike. Hope this helps! (Rate brainliest!)

Answer:

Brett used the most

Step-by-step explanation:

Martha used = 17%

Brett used = 0.18 = 18/100 = 18%

Mike used = 0.7 × 100/8 = 8.75% (he only used 0.7 of ONE of the gallons in the can, not of the total oil in the can)

Therefore, Brett used the greatest amount of oil.

Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.

Answers

Answer:

7.3*

Step-by-step explanation:

do the inverse:

22/3=7.3*

*=recurring

I Will BE GIVING A BRAINLIST AND A FOLLOW BACK ONLY FOR THE ACCURATE ANSWERS PLEASE TAKE A LOOK AT MY WORKSHEET PLEASE ANSWER QUESTIONS 1-5 AND PROVIDE EXPLANATION .

Answers

Answer:

1. Recursive formula: b(n-1)+2

2. Explicit formula: −2n+5

3. -20

4. 2, 11, 20, 29, 38, 47, 56, 65, 74, 83, 92, 101, 110, 119, 128

Step-by-step explanation:

Is the set (3,1),(6,4),(9,7),(12,10) a function? Explain how you know

Answers

it is a function
since there is one value of Y for every value in ask this relation is a function

. A coach divided his team into two proups of equal size. 5/8 of the first group drinks at least 2 glasses of water a day. 75% of the second group drinks at least 2 glasses of water a day. What fraction of the team drinks at least 2 glasses of water a day?
a 1/2
b 5/8
c 11/6
d 3/4

Answers

Answer:

b is the answer of the question because it is the only answer

Find the length x.
2
4
5
X

Answers

Answer:

2.5

Step-by-step explanation:

5/4 = x/2

yeah-ya... right

18-3(8c+4)=-6(4c-1) show your work

Answers

Answer:

No solution  

Step-by-step explanation:

Solve:

18 + -3(8c + 4) = -6(4c + -1)

Reorder the terms:

18 + -3(4 + 8c) = -6(4c + -1)

18 + (4 * -3 + 8c * -3) = -6(4c + -1)

18 + (-12 + -24c) = -6(4c + -1)

Combine like terms: 18 + -12 = 6

6 + -24c = -6(4c + -1)

Reorder the terms:

6 + -24c = -6(-1 + 4c)

6 + -24c = (-1 * -6 + 4c * -6)

6 + -24c = (6 + -24c)

Add '-6' to each side of the equation.

6 + -6 + -24c = 6 + -6 + -24c

Combine like terms: 6 + -6 = 0

0 + -24c = 6 + -6 + -24c

-24c = 6 + -6 + -24c

Combine like terms: 6 + -6 = 0

-24c = 0 + -24c

-24c = -24c

Add '24c' to each side of the equation.

-24c + 24c = -24c + 24c

Combine like terms: -24c + 24c = 0

0 = -24c + 24c

Combine like terms: -24c + 24c = 0

0 = 0

Solving

0 = 0

No Solution

(Hope this helps can I pls have brainlist (crown)☺️)

Suppose y varies jointly as x and z. What is y when x = 2 and z = 3, if y = 20 when x = 4 and z = 3?

Answers

Answer:

y = 10

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 20 when x = 4 and z = 3 , then

20 = k × 4 × 3 = 12k ( divide both sides by 12 )

[tex]\frac{20}{12}[/tex] = k , that is

k = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] xz ← equation of variation

When x = 2 and z = 3 , then

y = [tex]\frac{5}{3}[/tex] × 2 × 3 = 5 ×  2 = 10

got the picture since copying wont work

Answers

The answer is A

8x^6

Because 4x2=8

And simply add the exponents together

3+3=6

STEP1:

Equation at the end of step 1

(2²x³• 2) • x³

STEP2:

Multiplying exponents:

2.1 2² multiplied by 2¹ = [tex]2 {}^{(2 + 1)} [/tex] = 2³

Equation at the end of step2:

2³x³ • x³

STEP3:

Multiplying exponential expressions :

3.1 x³ multiplied by x³ = [tex] {x}^{(3 + 3)} [/tex] = x⁶

Final result :

2³x⁶

When you graph a linear equation, it will
form a:
Select one:
a.
curve
O b. square
С.
line
d. all of the above.
Help.

Answers

Answer:

straight line, C

Step-by-step explanation:

The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.

I hope this helps.

What is the value of x in the triangle?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is ~

[tex] \boxed{5 \sqrt{3} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The Triangle stated in the diagram is a right angled Triangle, so

[tex] \tan(30) = \dfrac{x}{15} [/tex]

[tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex]

[tex]x = \dfrac{15}{ \sqrt{3} } [/tex]

[tex]x = 5 \sqrt{3} [/tex]

HELPP HURRYYYY !!
have to be turned in soon

Answers

Answer:

Faster the deadline is so close let me sing

Super idol di show lung domini ding shaw

Super idol di show lung domini ding shaw

Super idol di show lung domini ding shaw

please help soon i need to get this pre-test. done

Answers

Answer:

65.5 in

Step-by-step explanation:

Ok, the two triangles are similar, since they're both right triangles, the angle in C are congruent, and the third has to be by difference. It means that the distance DC is proportional to 44 inches, on the proportion[tex]x:44 = 11.5:23.5 \rightarrow x= 44\frac{11.5}{23.5} = 21,5 in[/tex] To this we need to add the 44 inches traveled in the first part, to get a total of 65.5 in

Answer:

A.

Step-by-step explanation:

The triangles are similar, so we can estimate that the ratio between them is 1:2 (23.5/11.5~~2). Now we have that 44/2 is 22 and 44+22 is 66. The closest answer to 66 is 65.5, which is A.

Complete the statement with always, sometimes, or never.
The terms of a polynomial are ________ monomials.

Answers

Answer:

always

Step-by-step explanation:

The terms of a polynomial are _always_ monomials.

A polynomial is a sum of monomials.

‘Always’ is the answer

What is the domain of the relation?

Answers

Answer:

Domain: 3, 6, 8, 9, 7

Step-by-step explanation:

Domain: 3, 6, 8, 9, 7

(Domain, Range)

The domain of a function or relation is the set of all possible independent values the relation can take.

Hope this helps :)

Answer:

Domain: {3, 6, 8, 9, 7}

Step-by-step explanation:

A relation is a set of ordered pairs, (x, y). The domain of a relation is the set of all x-values. Therefore, the following is the domain of the given relation:

Domain: {3, 6, 8, 9, 7}.

BRAINLIEST
I’ve posted this over 5 times please help me

Answers

Answer:

I don't know just guess sorry

expand and simplify (x+6)(x+3) helppp

Answers

Answer:

hope it helps you

ʘ‿ʘ

ʘ‿ʘ

ʘ‿ʘ

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot. 10. 4 feet by 7. 4 feet 11. 1 feet by 8. 1 feet 13. 4 feet by 10. 4 feet 14. 1 feet by 11. 1 feet.

Answers

A rectangular rug divided by its diagonal becomes a right angle triangle

The length and width of the rug is 14.1 feet by 11.1 feet

A right angle triangle has the longest side as the hypotenus which is also the diagonal.

Diagonal = 18 feet

width = x

length = x + 3

diagonal ² = length ² + width ²

18² = x² + (x + 3)²

18² = x² + x² + 6x + 9

324 = 2x² + 6x + 9

2x² + 6x + 9 - 324 = 0

2x² + 6x - 315 = 0

solve using quadratic formula

x = - b ± √b² - 4ac / 2a

= - 6 ± √6² - 4×2×-315 / 2×2

= -6 ± √36 - (-2520) / 4

= -6 ± √36 + 2520/4

= -6 ± √2556 / 4

= - 6 ± 6√71 / 4

= -6/4 ± 6√71 / 4

= -3/2 ± 3√71/2

x = 11.1392 or -14.1392

The value of x can't be negative

So,

x = 11.1 to the nearest tenth

Therefore, the value of width and length is

width = x

= 11.1 feet

length = x + 3

= 11.1 + 3

= 14.1 feet

Learn more about Pythagoras theorem:

https://brainly.com/question/20545047

A 9-ounce can of peaches sells for $1.26. Find the unit price.​

Answers

Answer:

0.14 per ounce

Step-by-step explanation:

1.26 ÷ 9= 0.14

Hope this helps! :)

The unit price of peach would be $0.14.

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a 9-ounce can of peaches sells for $1.26.

9-ounce can of peaches sells for $1.26.

Then -

1 ounce of peach will cost = (1.26/9) = $0.14

Therefore, the unit price of peach would be $0.14.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

The quotient of 7 and twice a number equals 5

Answers

Solution:

Let the number be x.

[tex] \frac{7}{2x} = 5 \\ = > \frac{1}{2x} = \frac{5}{7} \\ = 2x = \frac{7}{5} \\ = > x = \frac{7}{5 \times 2} \\ = > x = \frac{7}{10} [/tex]

Answer:

[tex]x = \frac{7}{10} [/tex]

Hope it helps.

Do comment if you have any query.

make y the subject of each of y-p=m​

Answers

Answer:

y=m+p

Step-by-step explanation:

take the p to the other side.

p crosses = sighn and becomes +

hence ans = y=m+ p

solve pls brainliest

Answers

Answer:

20yd²

Step-by-step explanation:

6 × 6 = 36

4 × 4 = 16

36

-16

20

The area of the garden is gonna be 20 yards squared (20yd^2)

If C = C(q) is a firm's total cost function, the quantity epsilon_{c} = q/C * (dC)/(dq) is called the elasticity of cost at the output q . Discuss the relationship between marginal cost and average cost for the intervals of being higher and lower than 1 (15 points). epsilon_{c}​

Answers

Answer:

the answer is 5,746 = c

Step-by-step explanation:

Solve for (x)
I need help with 10(b)
Please

Answers

Answer:

x = 4

Step-by-step explanation:

(b)

[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 1) = 30 - 3x , distribute parenthesis on left side

4x + 2 = 30 - 3x ( add 3x to both sides )

7x + 2 = 30 ( subtract 2 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

A box's volume is equal to 600 cubic
inches. If the width of the box is 7
inches less than the length, and the
height is 10 inches less than the length,
find the dimensions of the box.

Answers

Answer:

Step-by-step explanation:

Length = x

width = x - 7

height = x - 10

volume = 600 in^3

Volume = L * w * h

600 = x * (x - 7)*(x - 10)

600 = x * (x^2 - 17x + 70)

600 = x^3 - 17x^2 + 70x

x^3 - 17x^2 + 70x - 600 = 0

There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.

a = 1

b  = - 17

c = 70

d = - 600

There is only 1 real solution: x = 15

L = 15

w = 8

h = 5

That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.

can you please help me

Answers

Answer:

i think it's the 6th option

Step-by-step explanation:

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