how do I solve this problem

Answer:

[tex]S\le 35h+42[/tex]

Step-by-step explanation:

Given that:

Cleaning supply fee charged by the competitor = $42

The charges by competitor per hour = $35

Let the number of hours = [tex]h[/tex] hours

Charges for [tex]h[/tex] number of hours = Number of hours multiplied by Charges per hour = $35[tex]h[/tex]

Now, total charges by the competitor = Charges for [tex]h[/tex] number of hours + Charges by the competitor = $35[tex]h[/tex] + 42

Charges of Suzette's = [tex]S[/tex]

As per question statement, the Suzette's charges can not be more than the competitor charges. Therefore Suzette's charges must be lesser than or equal to the competitor charges.

So, the inequality can be written as:

[tex]S\le 35h+42[/tex]

Where [tex]h[/tex] represents the number of hours.

Answer:

X⋅2=2X

4=2X

6=2X

8=2X

10y⋅9=90y

12=90y

15=90y

18=90y

21=90y

2=90y

0=90y

Answer:

It takes 1 year.

Step-by-step explanation:

You have to apply simple interest formula, I = (P×R×T)/100 where I represent interest amount, P is principle, R is interest rate and T is number of years :

[tex]I = \frac{PRT}{100} [/tex]

[tex]200 = \frac{4000 \times 5 \times T}{100} [/tex]

[tex]20000 = 20000T[/tex]

[tex]T = 1[/tex]

We, know that :

[tex] \underline{\boxed{\sf Interest \: amount = \dfrac{Principal \times Rate \times Time}{100}}}[/tex]

[tex] \underline{\boxed{\sf I = \dfrac{P \times R \times T}{100}}}[/tex]

By putting values, we have

[tex] \sf : \implies 200 = \dfrac{4000 \times 5 \times T}{100}[/tex]

[tex] \sf : \implies 200 \times 100 = 20000 \times T[/tex]

[tex] \sf : \implies 20000 = 20000 \times T[/tex]

[tex] \sf : \implies \cancel{\dfrac{20000}{20000}} = T[/tex]

[tex] \sf : \implies 1 = T[/tex]

[tex] \underline{\boxed{\sf T = 1 \: year}}[/tex]

It takes 1 year for him to earn $ 200 in simple interest.

Given:

A figure.

To find:

The value of x and y.

Solution:

In triangle ADC, all angles are equal, so it is an equilateral triangle.

We know that, all sides of an equilateral triangle are equal.

[tex]AD=AC[/tex]       ...(i)

[tex]3x-5=5y-4[/tex]                   ...(ii)

In triangle ABD,

[tex]\angle BAD=\angle ABD[/tex]

Base angles are equal, so triangle ABD is an isosceles triangle.

[tex]AD=BD[/tex]     ...(iii)

Using (i) and (iii), we get

[tex]AC=BD[/tex]

[tex]5y-4=y+12[/tex]

[tex]5y-y=4+12[/tex]

[tex]4y=16[/tex]

Divide both sides by 4.

[tex]y=4[/tex]

Putting y=4 in (ii), we get

[tex]3x-5=5(4)-4[/tex]

[tex]3x-5=20-4[/tex]

[tex]3x-5=16[/tex]

Adding 5 on both sides, we get

[tex]3x=16+5[/tex]

[tex]3x=21[/tex]

Divide both sides by 3.

[tex]x=7/tex]

Therefore, the value of x is 7 and the value of y is 4.

Answer:

4

Step-by-step explanation:

Answer: Braulio is 15 years old, and Alejandro is 6 years old.

Step-by-step explanation:

Let's define:

B = Age of Braulio

A = Age of Alejandro.

"Three years from now, Braulio will be 3 times Alejandro's present age"

We can write this as:

B + 3 = 3*A

"At that time, Alejandro will then be half as old as Braulio"

A + 3 = (B + 3)/2

Then we have a system of equations:

B + 3 = 3*A

A + 3 = (B + 3)/2

To solve this, we first need to isolate one of the variables in one of the equations.

Let's isolate A in the second equation:

A = (B + 3)/2 - 3

Now we can replace this in the other equation to get:

B + 3 = 3*A

B + 3 = 3*((B + 3)/2 - 3)

B + 3 = (3/2)*B + 9/2 - 9

Now let´s move all the terms with B to the left side, and the other terms to the right side.

B - (3/2)*B = 9/2 - 9 - 3

-(1/2)*B = 9/2 - 18/2 - 6/2 = -15/2

B = (-2)*(-15/2) = 15

Braulio is 15 years old.

And from the first equation:

B + 3 = 3*A

15 + 3 = 3*A

18 = 3*A

18/3 = A = 6

Alejandro is 6 years old.

Answer:

c. 15

Step-by-step explanation: 15 is divisible by 3

Answer:

larry is 19

Step-by-step explanation:

ok, so larry's age is y, his sisters age is x

x + 8 = y

thats the equation for him being 8 years older

now 2y = 3x + 5

his sisters age is 3x + 5 to get larry's age when its doubled

substitute x + 8 in for y

2 (x+8) = 3x + 5

2x + 16 = 3x + 5

16 = x + 5

x = 11

11 + 8 = y

y = 19

Answer:

Your slope is -1 and you y is 2 and the equation is -1y+ 0x

Step-by-step explanation:

Answer:

Negative and positive

Step-by-step explanation:

Complete the statements about the key features of the graph of f(x) = x5 – 9x3.

As x goes to negative infinity, f(x) goes to "NEGATIVE" infinity, and as x goes to positive infinity, f(x) goes to "POSITIVE" infinity.

The complete statement is:

As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity

The function is given as:

[tex]f(x) = x^5 - 9x^3[/tex]

Set x to 2

So, we have:

[tex]f(2) = 2^5 - 9(2)^3[/tex]

[tex]f(2) = -40[/tex]

Set x to 5

[tex]f(5) = 5^5 - 9(5)^3[/tex]

[tex]f(5) = 2000[/tex]

Notice that, as the value of x increases from 2 to 5, the function increases from -40 to 2000

Hence, the texts that complete the blanks are (a) negative and (b) positive, respectively

Read more about function behaviors at:

https://brainly.com/question/24114085

Answer:

to ask

Step-by-step explanation:

Answer

slight

Step-by-step explanation:

But Never zero

Answer: She had $1.16 left

Step-by-step explanation:

Step-by-step explanation:

1.16 dollars left

Answer:

the solution is this:

x= -2

Answer:

22.5

Step-by-step explanation:

Brainliest plzzz

Answer: 71 coins

Step-by-step explanation:

First and foremost, we should note that:

12 months = 1 year

2 years = 12 × 2 = 24 months

Since she has 25 coins in her first month and adds 2 coins to her monthly collections, this means that she has 23 more months. This can be expressed as:

= 25 + 2x

where, x = number of months

= 25 + 2(23)

= 25 + 46

= 71 coins

She will have 71 coins after 2 years.

Answer:

D

Step-by-step explanation:

Area = 1/2 a * p

Multiply both sides by 2

2*A = ap

Divide by p

2A / p = a

D

Answer: D

Step-by-step explanation:

Answer:

12 bars for $10.00

Step-by-step explanation:

Answer:

3-5n is the correct answer

Answer:

Step-by-step explanation:

Alina=2x---eq(1)

Asim=5x----eq---(2)

So,we get

2x+5x=210

7x=210

x=30

Now,Putting '30' in eq 1 and eq 2

2*30=60

5*30=150

Therefore Alina got 60 Rs while Asim got 150 Rs

Answer:

No

Step-by-step explanation:

Answer:

I don't think so.

Step-by-step explanation:

3(5b - 2) would be equivalent to 15b - 6

Answer:

St rt ok is et cell pic ch se art on FB

Answer:

Domain = 1,3,5,7

Range = 8,7,6,5

Step-by-step explanation:

We need to identify the domain and range of the function: input 1,3,5,7 output 8,7,6,5

Domain of function:

For any function domain is set of input values.

Range of function:

For any function range is set of output values.

So, for the given function we have : input 1,3,5,7 output 8,7,6,5

Domain = 1,3,5,7 (set of input values is domain of function)

Range = 8,7,6,5 (set of output values is range of function)

Answer: 382

You put the 3 in the hundred then add 70+12=82 So this is right

Just add 70+12 then add 300

Answer:

I think it would be 13

Step-by-step explanation:

Answer:

The first one is 9/50 and the second one is 1/2

Step-by-step explanation:

you multiply the numerators by each other then you multiply the denominators by each other then you should have your answer :)

Answer:

5/8

Step-by-step explanation:

=3/8×5/3

=5/8

Hope this helps u....

Answer:

3/8 divided by 3/5

3/8 multiplied by 5/3

5/8 is the answer of this question

Answer:

xm-xn+2m-2n

Step-by-step explanation: