A plumber charges $65 to make a house call plus an additional charge of $42 per hour for labor. Write an equation to represent the total cost (y) for any number of hours (x).

Answer: 32768 or [tex]8^5[/tex].

Step-by-step explanation:

[tex]8^7[/tex]= 8x8x8x8x8x8x8 = 2097152

[tex]8^2[/tex]= 8x8 = 64

                                            Dividing Exponents

When you divide exponents with the same base. You subtract. So in this case, you subtract 7 by 2, (being exponents). The same base is 8. So your subtracting [tex]8^7[/tex] by [tex]8^2[/tex]. Which will get you [tex]8^5[/tex].

                                          Dividing Whole Numbers.

You are going to divide whole numbers. Its pretty self explanatory but I will do the math for you anyways.

64 goes into 2097152, 32768 times. Or we can say,

2097152 divided by 64 = 32768.

So the answer is 32768, or [tex]8^5[/tex].

Answer: 9/8

Step-by-step explanation:

you turn 1/2 into 4/8 and add that to 5/8 to get 9/8

Answer:

hypotenuse = 4.24

Step-by-step explanation:

sin θ = opposite / hypotenuse

sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

hypotenuse = 4.24

Answer:

(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )

Step-by-step explanation:

Given the 2 equations

2x² + 4x - y = - 2 → (1)

x² + y = 2 → (2)

subtract x² from both sides in (2)

y = 2 - x² → (3)

Substitute y = 2 - x² into (1)

2x² + 4x - (2 - x²) = - 2

2x² + 4x - 2 + x² = - 2

3x² + 4x - 2 = - 2 ( add 2 to both sides )

3x² + 4x = 0 ← in standard form

x(3x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]

Substitute these values into (3) for corresponding values of y

x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)

x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )

Answer:

is there anymore to the question?

Step-by-step explanation:

Answer:

2 hours and 40 mins i think

Step-by-step explanation:

Answer:

D) (0,1) (2,3) (4,5)

Step-by-step explanation:

Explanation

Given Points are  A(0,1) , B(2,3) , C(4,5)

slope of the AB

                  [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]

Slope of BC

                [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]

Therefore slope of AB and BC are equal

The three points lie on same straight line

The three points are collinear points

Answer:

apples: 6/8 = $0.75 per apple

pears: 1.25/1 = $1.25 per pear

peaches: 1.50/1 = $1.50 per peach

bananas: 4/6 = $0.67 per banana

"price per unit" means that you want to find out how much a single one of the product costs. you figure it out by dividing the price by how many there are.

Step-by-step explanation:

I hope this helps :)

Answer:

.20(7) ≤ x .20(8)

Step-by-step explanation:

let 'x' = amount of time in REM sleep

Answer:

1.4[tex]\leq[/tex] x [tex]\leq[/tex] 1.6

Step-by-step explanation:

You can start off by writing the inequality that 7(.20) is less than/equal to x which is less than/equal to 8(.20). Then, you just multiply the numbers and you have the 20% that you spend in REM sleep.

Hope this helps!

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2+9x+4=0

For this equation: a=3, b=9, c=4

3x2+9x+4=0

Step 1: Use quadratic formula with a=3, b=9, c=4.

x=−b±√b2−4ac/2a

x=−(9)±√(9)2−4(3)(4)/2(3)

x=−9±√33/6

Step-by-step explanation:

Is this some typing error? Please retype your question for assistance

Answer:

$7.40

Step-by-step explanation:

785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40

Answer:

$7.40

Step-by-step explanation:

Step-by-step explanation:

A'B'/AB = 5.1/1.7 = 3

B'C'/BC = 7.2/2.4 = 3

A'C'/AC = 7.5/2.5 = 3

These ratios are equal to the scale factor. These ratios are the scale factor.

Answer:

1.=scalene+acute . 2. equilateral .  3. obtuse+scalene .  4. isosceles+right .  5. scalene+acute(cant tell exactly)  6. acute+isosceles .  7. right+isosceles . 8. isosceles + obtuse

Step-by-step explanation:

look at pictures

EQUATIONS:

24x + 32y = 264

x + y = 9

x is shirts, y is pants

SOLVING by substitution:

x = 9 - y

24(9 - y) + 32y = 264

216 - 24y + 32y = 264

8y = 48

y = 6

x + 6 = 9

x = 3

Answer:

I will do the first one for you 115/24

Step-by-step explanation:

First find the prime number is of the number on the bottom of the fraction

Second after finding the prime numbers multiple all the times number starting with the bigger number’s prime number, and if the other prime number have a pair dont add them into equation. Ex 8-2 2 2 and 4-2 2 the 8 has 3 (2s) cancelling out the 4’s( 2s) other ex. 6-2 3 and 18- 2 3 3 the 18 has a 2 and 3 cancelling out the 6’s 2 and 3 making it multiple 2x3x3

Third after finding this number at step (2) this is the number at the bottom of the fraction making it easy to do any equations on it

Hope this helps :D

Answer:

1)

D. 3:2

2)

B. 40%

as, no. of girls=8

total no. of students =12+8=20

now,

percentage of girls=no.of girls/total no. of students ×100%

=8/20×100%

=40%

The Pythagoras Theorem:

the base squared and height squared added is equal to the hypotenuse squared.

so

(x+6)² + (x+3)²= (x+9)²

x²+36+12x+x²+9+6x = (x+9)²

2x²+45+18x=x²+81+18x

x²=36

x=√36

X= 6

now

(x+6)= 12

(x+3)=9

(x+9)=15

haha sorry correct it pls

Answer:

4

Step-by-step explanation:

Substitute -3 for x.

-3 + 7 = 4

Answer:

B.) 10.5

Step-by-step explanation:

Use ratios, but be careful.

AE/AD = AB/AC

14/18 = x/(x+3).

14x+42 = 18x

42 = 4x

x = 10.5

The value of x in the given figure is 10.5 so, option B.) 10.5 units is correct.

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Using ratios;

AE/AD = AB/AC

14/18 = x/(x+3).

14x+42 = 18x

42 = 4x

x = 10.5

Thus, option B.) 10.5 units is correct.

Learn more about ratio here:

brainly.com/question/186659

#SPJ2

Answer:

n= -3/4 (0.75)

Answer:

a its not straight and its negative

Answer:

I'm pretty sure it is nonlinear with negative trend.

Step-by-step explanation:

I think this because the data points are going down so, negative. And linear means "to be in a straight line" which it is not. So the answer would be nonlinear with a negative trend.

Happy to Help :)

Answer:

167.8

Step-by-step explanation:

Answer: 167.8

Step-by-step explanation:

Answer:

What model?

Step-by-step explanation:

Answer:

where is the diagram

Step-by-step explanation:

?

Answer:

C !!!   THE MAYOR HAS MORE POWER THAN THE CITY COUNCIL !!!

Step-by-step explanation:

Answer:

Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.

You would have to find a GCF (greatest common factor) and multiply it out of the radical.

ex.

[tex]\sqrt{6}[/tex] = 2 x 2 x 2

when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2

2[tex]\sqrt{2\\}[/tex]

so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.

[tex]\sqrt{11}[/tex]

is an irrational number, so it might fall into 3.3 if turned into a decimal.

Step-by-step explanation: