Manuel earns 5350 a month. if he worked eight hours a day for 20 days, how much did he make each hour? Express your answer in dollars and cents. (Rounded)

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3.

Step-by-step explanation:

Let the Zach's age be Z years.

6 times older than Zach = 6Z

Zach added 8 to his age and multiplied this sum by 3 = 3(Z+8)

Now,

[tex]6Z=3(Z+8)[/tex]

[tex]6Z=3Z+24[/tex]

[tex]6Z-3Z=24[/tex]

[tex]3Z=24[/tex]

Divide both sides by 3.

[tex]Z=\dfrac{24}{3}[/tex]

[tex]Z=8[/tex]

Therefore, the required equation is [tex]6Z=3(Z+8)[/tex] and Zach's age is 8 years.

Hey there! I'm happy to help!

When multiplying numbers with exponents, all you do is add the exponent numbers, so 5^12×5^8=5^20.

A is not equal to this.

B is also not equal to this. B is 25^20.

C is  wrong as well. It is 5^5.

This leaves us with D, which does evaluate to 5^20. If you raise a power to a power you multiply the exponent numbers, and 5(4)=20.

The answer is D. (5^5)^4.

Have a wonderful day! :D

5^12 * 5^8

5^12+8

5^20

The only option that is equal to that is D.

(5^5)^4

5^5*4

5^20

Best of Luck!

Answer:

-63

Step-by-step explanation:

Answer:

irrational

are the numbers like 7.55782902..where the numbers aren't repeated

Answer:

[tex]d=5[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the formula to find distance d:

[tex]d=\sqrt{(4-1)^2+(-1-3)^2}[/tex]

[tex]d=\sqrt{(3)^2+(-4)^2}[/tex]

[tex]d=\sqrt{9+16}[/tex]

[tex]d=\sqrt{25}[/tex]

[tex]d=5[/tex]

Answer:

30% of 50 is 15

Step-by-step explanation:

30% times 50 equal 15

hope this helps you :)

Answer:

14.

Step-by-step explanation:

For these types of questions, we will have to work backwards.

I have attached an image with this answer and I will explain it.

------------------------------------------------------------------------------------

She starts off with ?, and we divide 2, because she sold half of her comic books. Then, she buys 7 and she has 14.

---------------------------------------------------------

So, ? [tex]\div2[/tex]+7=14

We can work backwards,

so we will first subtract [tex]14-7=7[/tex] (Opposite of addition is subtraction)

And then [tex]7\times2=14[/tex] (Opposite of division is multiplication)

Answer: 14

Step-by-step explanation: 14 yes correct :)

Step-by-step explanation:

(x + 8)(x - 1) = x^2 - x + 8x - 8 = x^2 + 7x - 8.

Hence a = 1, b = 7, c = -8. (Options A, D and E)

The answer is the product of their slope is -1.

First, let's break this down. Perpendicular lines are line with opposite reciprocal slopes. Opposite meaning the inverse sign and reciprocal meaning flipped.

For instance,

If a line had the slope of 5, its inverse would have a slope of -1/5.

Now, if we multiply these numbers together,

5 * -1/5 = -1

The 5's cancel out.

This works for any two perpendicular lines

Answer:

The answer is the product of their slopes is -1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

5y 4 to the power

Step-by-step explanation:

230 - 125 = 105

If she saves 15 every week

Then

105 ÷ 15 = 7 weeks

It will take her 7 weeks

Answer:

[tex]a=-3[/tex]

Step-by-step explanation:

[tex]-2a-9=6a+15[/tex]

Add 9 to both sides:

[tex]-2a-9+9=6a+15+9[/tex]

[tex]-2a=6a+24[/tex]

Subtract 6a from both sides:

[tex]-2a-6a=6a+24-6a[/tex]

[tex]-8a=24[/tex]

Divide both sides by -8:

[tex]\frac{-8a}{-8}=\frac{24}{-8}[/tex]

[tex]a=-3[/tex]

Answer:

a=-3

Step-by-step explanation:

-2a-9=6a+15

+2a +2a

-9=8a+15

-15 -15

-24=8a

8 8

-3=a

Answer: the intersection of plane A and plane S will be: line CW

the intersection of lines N and K is: point V

point X is the intersection of: line M and plane A

Step-by-step explanation:

Answer:

The intersection of plane A and plane S will be

✔ line CW

The intersection of lines n and k is

✔ point V

Point X is the intersection of

✔ line m and plane A

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Do 1 divided by 4 and you get 0.25 then divide 3 and 0.25 and you get 12

Answer: 12/1

Step-by-step explanation:

3 divided 1/4                                                                                                                                    K- 3/1 divided 1/4                                                                                                               C-3/1 multiple 1/4                                                                                                       F-3/1 multiple 4/1 = 12/1 = 12

Answer:

Step-by-step explanation:

Slope = -1.8

(-0.5,1.9)

[tex]m =-1.8\\(-0.5 , 1.9) = (x_1 ,y_1)[/tex]

Substitute values into point slope form

[tex]y-y_1=m(x-x_1)\\\\y -1.9=-1.8(x -(-0.5))\\\\y -1.9 =-1.8(x+0.5)[/tex]

Answer:

y − 1.9 = −1.8 (x + 0.5)

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

60/2=6-2n

10=6-2n

6-2n=10

-2n=10-6

-2n=4

n=4/-2

n=-2

Answer:

(3)79.95 + 59r = 534.85

Step-by-step explanation:

Answer:

Step-by-step explanation:

the product of odd numbers is always odd

the product of even numbers is always even  

the product of odd number and even one is always even

the sum of two odd numbers is always even

and the sum of two even numbers is always even

so if x is even number we have:

x²=x•x   - even number

x⁴=x²•x²  - even number

3x²=3•x²  - even number

y = x⁴+3x²   - even number

and if x is odd number we have:

x²=x•x   - odd number

x⁴=x²•x²  - odd number

3x²=3•x²  - odd number

y = x⁴+3x²   - even number

Answer:

  (a) 412 +A -B

  (b) 412 +A -B + (A-20) -(B+14)

  (c) 378 +2A -2B

Step-by-step explanation:

Water flowing in adds to the amount in the reservoir. Water flowing out subtracts from the amount in the reservoir.

__

(a) 412 + A - B . . . . at the end of January

__

(b) Flowing in was (A -20), flowing out was (B +14). In February, we start with the amount at the end of January.

  (412 +A -B) +(A-20) -(B +14)

__

(c) Simplifying the above, we have ...

  412 -20 -14 +2A -2B = 378 +2A -2B

Answer:

You did not give the options, so i just will graph it.

The inequality is:

-35 - 2*x + 1 < 11.

Now we would want to isolate the x in one side, so we can start by adding 35 in both sides.

(-35 -2*x + 1) + 35 < 11 + 35

-2x + 1 < 46

now we can subtract 1 in both sides:

-2x + 1 - 1 < 46 - 1

-2x < 45

Now we can divide by -2, remember that if we multiply or divide by a negative number, then the "direction" of the sign changes.

(-2x)/-2 > 45/-2

x > -22.5

Then the graph of the set is an open dot at the point x = -22.5 (this means that the set does not include this point) and a line that extends to the right. (Extends to the right because x is larger than -22.5)

Below is an example of how to draw the graph that represents the set of solutions.

Answer: m=-4

Step-by-step explanation: Plug -4 in for m

Answer:

m- 4=2m

m -2m=4

- m=4

m= -4

mark it as brainliest!!!

To find the midpoint, we just have to add the x values and divide by two then add the y values and divide by two

x-value = (7 + 3) / 2 = 5

y-value = (2 + 4) / 2 = 3

The midpoint = (5, 3)

Answer: A: (x + 4)² + (y - 5)² = 8

Step-by-step explanation:

The equation of a circle is: (x - h)² + (y - k)² = r²     where

To find the equation of circle A, we need (h, k) and r².

It is given that (h, k) = (-4, 5)

The distance between the center of circles A and B is the radius of circle A.

Let's find the center of circle B by completing the square:

x² - 4x + ____ +  y² + 6y + _____ = 12 + ____ + _____

     ↓                            ↓      

  h = -4/2                    k = 6/2

  h = -2                       k = 3              →  Circle B has center (-2, 3)

Now let's find the distance between the center of circles A and B:

[tex](r_A)^2=d^2=(x_A-x_B)^2+(y_A-y_B)^2[/tex]

                = (-4 - (-2))² + (5 - 3)²

                =     (-2)²     +     2²

                =       4        +     4

                = 8

Now we have the the center (h, k) and the r² for circle A:

(h, k) = (-4, 5) and r² = 8   →    (x + 4)² + (y - 5)² = 8

Answer:

8.4*10^-3

Step-by-step explanation:

Move the decimal point 3 places in order to get a number in the one's place.

Answer:

see explanation

Step-by-step explanation:

(1)

CD = CE - DE = 8 - 2 = 6

CB = CD = 6 ( given as congruent ) , thus

AC = AB + CB = 4 + 6 = 10

(2)

∠ 2 + ∠ BCD + ∠ DCF  = 180° ( sum of angles on a straight line )

∠ 2 + 60° + 70° = 180°

∠ 2 + 130° = 180° ( subtract 130° from both sides )

∠ 2 = 50°

Answer:

I hope C

Step-by-step explanation:

if I'm wrong please let me know

Answer: C

Step-by-step explanation:

The domain is all real values of x such that x is less than or equal to zero.

If x is greater than  zero then all the positive numbers  will make the number in the square root negative and that will  become an imaginary number.

If x is zero  then the number in the number will be 0 and find the square root of 0 is possible.

Answer:

Everything is x2 itself.

Step-by-step explanation:

5x2=10 10x2=20 20x2=40

Answer:

it multiples time 2 every time

Step-by-step explanation:

5 to ten 5times 2

10 to 20 10 time 2

20 to 40. 20 time 2

Answer:

about 6 boxes for each

Step-by-step explanation:

both numbers have a common factor of 6, so 8 plates in each box, and 9 bowls in each box. She would need 12 boxes in total.