At Rafael's auto shop, it takes him 15 minutes to do an oil change and 24 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Rafael can do in less than an hour (60 minutes).

Answer:

6

Step-by-step explanation:  you told me your answer

Answer:

Here you go

Step-by-step explanation:

sorry for the bad handwriting

The required equivalent expressions using index notation, are follows: a) 2 x 2 x 2 = 2³, b) 3 x 3 x 3 x 3 x 3 = 3⁵, c) 4 x 4 x 4 x 5 x 5 = 4³ x 5² and d) 9 x 7 x 9 x 9 x 7 x 9 = 7² x 9⁴.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expressions are given in the question, as follows:

a) 2 x 2 x 2

b) 3 x 3 x 3 x 3 x 3

c) 4 x 4 x 4 x 5 x 5

d) 9 x 7 x 9 x 9 x 7 x 9

We have to determine the equivalent expression using index notation.

As per the question, the required solution would be as:

a) 2 x 2 x 2 = 2³

b) 3 x 3 x 3 x 3 x 3 = 3⁵

c) 4 x 4 x 4 x 5 x 5 = 4³ x 5²

d) 9 x 7 x 9 x 9 x 7 x 9 = 7² x 9⁴

Learn more about the expression here :

brainly.com/question/21751419

#SPJ2

Answer:

11 yards.

Step-by-step explanation:

The area of a square is A= s²

Since the area is given as 121, you just take the square root.

[tex]\sqrt{121} = s^{2}[/tex]

s= 11 yards

Answer:

it's the bottom right!! TRUST MR I PROMISE

Step-by-step explanation:

IT IS THE ONLY LINE GOING DOWN which proves it's negative!!!

Answer:

ciao la risposta è that Italian for

hi the answer is $250.00

Step-by-step explanation:

I hope the picture helps

Have a blessed day

Answer:

It depends on how many dimes are in the piggy bank. It could be any answer that didn't have a 5 in the tenths place. For example, it couldn't be a number like $1.05 because any whole number multiplied by 10 would end in a 0

Answer:

Go down to -4 and make a 1/1 graph

Step-by-step explanation:

Answer:

x>-4/3 last answer i got i hope it is helpful have a nice day

Answer:

the sale price would be $319.60 and the final price would be $1278.40

Step-by-step explanation:

Given:

The parent sine function is [tex]f(x)=x^2[/tex].

It shifts three units to the left and four units down.

To find:

The new function.

Solution:

The translation is defined as

[tex]f_1(x)=f(x+a)+b[/tex]                .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Graph shifts 3 units to the left. So, a=3.

Graph shifts 4 units down. So, b=-4.

Putting a=3 and b=-4, we get

[tex]f_1(x)=f(x+3)-4[/tex]

[tex]f_1(x)=(x+3)^2-4[/tex]          [tex][\because f(x)=x^2][/tex]

Here, new function is also defined by f(x). So, [tex]f(x)=(x+3)^2-4[/tex].

Therefore, the correct option is d.

Hello!

[tex]\large\boxed{\log_{7}{(\frac{12m}{n}})}[/tex]

Use the log properties to simplify:

log (a) + log (b) = log (a · b)

log (a) - log (b) = log (a ÷ b)

Therefore:

[tex]log_{7}12 + log_{7}m - log_{7}n\\\\= log_{7}(12 * m / n}\\\\log_{7}{(\frac{12m}{n}})[/tex]

By exterior angle property

[tex]j = 90 + 40[/tex]

[tex]j = 130[/tex]

Answer:

D

Step-by-step explanation:

Answer:

the question is when are the two accounts equal... so our strategy is to find two equations and set them equal to each other

Step-by-step explanation:

weeks = w

steve's acct. = 250-25w

Chelsea's acct. = 30 +30w

so when do they equal

250-25w = 30+30w

now  solve for w

250-30 = 30w +25w

220 = 55w

4 = w

In four weeks.. they will have the same

so 250- 25(4) = 150  

and to check  30+30(4) = 150

so the each have $150.00 in their accts at 4 weeks

Answer:

50 boys

Step-by-step explanation:

2/4 = 1/2

25*2=50

Step-by-step explanation:

Bir abzas qurmaq üçün 5 addımdan keçək. Hər addım üçün bir izah və nümunə var. Nümunə bəndimiz kölə ruhları haqqında, Afrikalı Amerikalıların köləlik dövründə yaratdığı orijinal mahnılarla əlaqəli olacaq. Model paraqrafı fikrini sübut etmək üçün illüstrasiyadan (nümunələr verməklə) istifadə edir.

Answer:

starting with 6 and adding 3 an hour over two days or 48 hours that  would be  3x48= 144 then add your original 6 that would be 150

Step-by-step explanation:

6 + (3x48) = logs for two days

6 + 144 = 150

150!!!

a. The number of logs needed for one night can be represented by the expression:

6 + 3h

b. The expression for the number of logs needed for 2 nights is 12 + 6h.

A term is a single mathematical phrase. It might consist of only one variable—a letter—one number—positive or negative—or several variables multiplied but never added or subtracted. A number is placed in front of some nouns that have variables. Coefficients are numbers that come before phrases.

If Nelson plans to start the fire with 6 logs and add 3 logs for each hour the fire burns, then the number of logs needed for one night can be represented by the expression:

6 + 3h

where h is the number of hours the fire burns.

To find the number of logs needed for 2 nights, we can simply multiply the number of logs needed for one night by 2:

2(6 + 3h)

Simplifying this expression gives:

12 + 6h

So the expression for the number of logs needed for 2 nights is 12 + 6h. This represents starting the first night's fire with 6 logs, adding 3 logs per hour for that night, and then starting the second night's fire with 6 logs again, and adding 3 logs per hour for that night as well.

To learn more about the expression;

brainly.com/question/24242989

#SPJ2

Answer:

1.05 dollars will be ur answer ;)

Step-by-step explanation:

Answer:

[tex]\frac{(x - 4)}{(2x + 1)} - 3[/tex] [tex]=[/tex] [tex]\frac{-7x- 7}{3x + 1}[/tex]

Step-by-step explanation:

Given

[tex]\frac{(x - 4)}{(2x + 1)} - 3[/tex]

Required

Solve

Express 3 as a fraction

[tex]\frac{(x - 4)}{(2x + 1)} - \frac{3}{1}[/tex]

Take LCM

[tex]\frac{x - 4 - 3(2x + 1)}{3x + 1}[/tex]

[tex]\frac{x - 4 - 6x - 3}{3x + 1}[/tex]

Collect Like Terms

[tex]\frac{x - 6x- 4 - 3}{3x + 1}[/tex]

Simplify like terms

[tex]\frac{-7x- 7}{3x + 1}[/tex]

Hence:

[tex]\frac{(x - 4)}{(2x + 1)} - 3[/tex] [tex]=[/tex] [tex]\frac{-7x- 7}{3x + 1}[/tex]

Answer:

16. (0 , -6) 17. (0 , 4) 18. (3, -9)

Step-by-step explanation:

Answer:

A = (0,-6)

B = (0,4)

C = (3,-9)

Step-by-step explanation:

Take the middle number of the x-coordinates.

A- The number in between 0 and 0 is 0

B- The number in between 2 and -2 is 0

C- The number in between -3 and 9 is 3

Take the middle number of the y-coordinates.

A- The number in between 0 and -12 is -6

B- The number in between 9 and -1 is 4

C- The number in between -3 and -15 is -9

You can also use the midpoint formula; M=(x(1) + x(2))/2 , (y(1) + y(2))/2

Answer:

2/3

I hope it will be useful.

Answer:

9 girls

Step-by-step explanation:

total girls tried out = 45

did not make the team

= 20% of the girls

= 20/100 × 45

= 9 girls

Answer:

C)  

D)

E)

Step-by-step explanation:

30% of 10 = [tex]\frac{30}{100}*10 = 3 \neq 6\\\\[/tex]

B) 60% of 15 = [tex]\frac{60}{100}*15 = \frac{6}{10}*15=\frac{3}{5}*15=3*3 = 9 \neq 6\\[/tex]

c) 50% of 12 = [tex]\frac{50}{100}*12=\frac{1}{2}*12=6\\\\[/tex]

D) 20% of 30 = [tex]\frac{20}{100}*30=\frac{1}{5}*30= 6[/tex]

E)75% of 8 = [tex]\frac{75}{100}*8 = \frac{3}{4}*8=3*2 = 6[/tex]

Answer:

the answer is 5/9

Step-by-step explanation:

Answer:

on slope calculator i got 0.3?

Step-by-step explanation:

sorry if it aint right

Answer: Slope = 10.000/2.000 = 5.000

x-intercept = 7/-5 = -1.40000

y-intercept = 7/1 = 7.00000

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-2-(5*(x+1))=0

STEP

1

:

Equation at the end of step 1

(y - 2) - 5 • (x + 1) = 0

STEP

2

:

Equation at the end of step 2

y - 5x - 7 = 0

STEP

3

:

Equation of a Straight Line

3.1 Solve y-5x-7 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-5x-7 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

y-intercept = 7/1 = 7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/-5 Our line therefore "cuts" the x axis at x=-1.40000

x-intercept = 7/-5 = -1.40000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 17.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 17.000 - 7.000 = 10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 10.000/2.000 = 5.000

Geometric figure: Straight Line

Slope = 10.000/2.000 = 5.000

x-intercept = 7/-5 = -1.40000

y-intercept = 7/1 = 7.00000

They are both decimal numbers.

Answer:

They are the same since the only thing that changed is the decimal placement.

Step-by-step explanation: