Deborah has $56 in her bank account currently. She earns $8 per hour at her job at the local ice cream shop. Micah has $32 in his bank account and earns $12 per hour at his job mowing lawns. How many hours do they need to work to have the same amount of money in their bank accounts?

9514 1404 393

Answer:

Step-by-step explanation:

Reduced ratios are found by removing (dividing out) the greatest common factor (GCF). For several of these, that factor is the smallest number or the difference between the numbers. Knowledge of multiplication tables is helpful.

  9 : 36 = 1 : 4 . . . . common factor of 9

  21 : 27  = 7 : 9 . . . . common factor of 3

  48 : 72 = 2 : 3 . . . . common factor of 24

  60 : 45 = 4 : 3 . . . . common factor of 15

  10 : 70 = 1 : 7 . . . . common factor of 10

_____

Comment on GCF

The greatest common factor can be found from your knowledge of multiplication tables and/or divisibility rules. It can also be found using Euclid's algorithm. For that, you ...

  Divide the larger number by the smaller and keep the remainder.

  If the remainder is 0, the smaller is the GCF.

  If the remainder is not zero, replace the larger number with the remainder and repeat from the first step.

Example:

  27/21 = 1 r 6

  21/6 = 3 r 3

  6/3 = 2 r 0 . . . . 3 is the GCF of 21 and 27

Answer:

18 %

Step-by-step explanation:

Last summer: 80 students

This summer: 94 students

94 - 80 = 14

14/80 x 100 = 17.5

rounded = 18%

Answer:

C=3.14*32=100.48mm

Step-by-step explanation:

Answer:

100.48

Step-by-step explanation:

[tex]C=\pi D[/tex]

So,

C=3.14*32=100.48

Answer:

x=51

Step-by-step explanation:

m || n

(3x-40)=(2x+11) by alternate interior angles theorem

3x-2x=40+11

x=51

Answer:

-3/4

Step-by-step explanation:

If you take two points, the rise is 3. Also, the change in y is 4. Since the line is going downwards from left to right, it has to be negative.  

Answer:

85, 68, 51

Step-by-step explanation:

Average: The sum of all the numbers divided by the number of numbers

If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x

Then using the definition of an average, we can write this equation.

(5x + 4x + 3x) / 3 = 68

Multiply both sides by 3.

5x + 4x + 3x = 68 * 3

Simplify.

12x = 204

x = 17

Now, substitute x = 17 into the original scores (5x, 4x, and 3x)

5x = 5 * 17 = 85

4x = 4 * 17 = 68

3x = 3 * 17 = 51

Just in case, let's check this answer. Find the average of the 3 test scores.

(85 + 68 + 51) / 3 =

204 / 3 = 68

Thus, the answers are correct

Answer:

$8

Step-by-step explanation:

If it's 75% of that mean 2=25%

multiply it by 4 to get 8

The answer is by +9 which is the inverse operation of subtraction which is negative so we can isolate M!

Hope it helps!!

Answer:

Multiply both sides of the equation by 100

Answer:

345678

Step-by-step explanation:

a scientist produces zinc iodine. This is the method used:

1.weight 0.500 g of iodine 2.dissolve the iodine in ethanol

3.add the excess of zinc

4. stir the mixture until there's no further change

5. filter the excess zinc

6. evaporate off the ethanol

explain why the scientist adds excess zinc rather then excess iodine

Answer:

y - 1 = 3/2(x - 6)

Step-by-step explanation:

First, we need to find the slope of the given equation. Without a graph, the easiest way to do this is by isolating y.

2x + 3y = 18

3y = -2x + 18        (Subtract 2x from both sides)

y = -2/3x + 6        (Divide both sides by 3)

The slope is -2/3. Perpendicular lines have opposite reciprocal slopes, so a line perpendicular to this one would need to have a slope of 3/2. We're given a point for this line, so we can write the equation for it in point-slope form.

Point-Slope Form: [tex]y - y_{1}=m (x-x_{1})[/tex]

y - 1 = 3/2(x - 6)

If necessary, this can also be written in slope-intercept form by solving for y.

Answer:

1 is 1/2 5 is 2 1/2 and 7 would be 3 1/2

Step-by-step explanation:

Answer:

C=-6

D=2

Step-by-step explanation:

Answer:

Angle 8 and angle 16.

Step-by-step explanation:

Number 4 because they are in the same spot. Learn geometry.

Answer:

Step-by-step explanation:

Are the sides consistent with the Pythagorean Theorem?

6² + 8² ≟ 9²

36 + 64 ≠ 81, so it is not a right triangle.

Answer:

1.3

Step-by-step explanation:

Question: On a recent day,8 euros were worth $11 and 32 euros were worth $44 .Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.

Notes:

Need:  Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.

In Y = K X

    |         |

    |         numbers of euros.

    value in dollars

Our first number: 8 euro = $11

Y=11

X=8

Then Convert:

11=K8

11=K*8 ---> 8*K=11

8K=11

11/8= 1.3

K=1.3

From your not so smart brainly user

Answer:

The answers are:

The height is 6

The radius is 8

The volume is 128 π cubic units.

Step-by-step explanation:

The height is shown in the picture. So the first answer is 6.

To find the radius, you use the equation. [tex]\sqrt{slant height^{2}- height^{2} }[/tex] = radius

The slant height 10, and the height is 6. So you plug those into the equation and solve.

[tex]\sqrt{10^{2}-6^{2} }[/tex] =

[tex]\sqrt{100-36}[/tex] =

[tex]\sqrt{64}[/tex] = 8

So the radius is 8.

Now we use the equation [tex]\pi[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex] = volume.

[tex]\pi[/tex][tex]8^{2}[/tex] [tex]\frac{6}{3}[/tex] =

[tex]\pi[/tex]64 [tex]\frac{6}{3}[/tex] =

[tex]\pi[/tex] 64(2) = 128 [tex]\pi[/tex] cubic units

I hoped this helped you. I would love brainiest.

The statements about the cone is that,

The height is 6 units, the radius is 8 units and the volume is 128π cubic units.

Volume of a three dimensional shape is the space occupied by the shape.

Given a cone.

We have to find the complete the statements related to the cone.

From the figure,

height of the cone = 6 units

Using the Pythagoras theorem,

Radius of the cone = √(10² - 6²) = 8 units

Volume of the cone = 1/3 π r² h

                                 = 1/3 π × 8² × 6

                                 = 128π cubic units

Hence the height, radius and volume of the cone are 6 units, 8 units and 128π cubic units respectively.

Learn more about Volume here :

https://brainly.com/question/13338592

#SPJ5

Answer:

final for what?

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

Okay since the exterior angles of every polygon is always 360

and this polygon has 40 sides,

360/40=9

180-9=171

Hope This helps

(what grade is this?)

Answer:

2?

Step-by-step explanation:

a and b are both terms

Answer:

(6,-11)

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

yay

Answer: y = 3

Step-by-step explanation:

Any horizontal line parallel to the x-axis has a zero slope. The horizontal line passing through (-2 ,3) has equation y = 3 as it passes through all points in the plane with a y-coordinate of 3, as may be seen in the graph

Answer:

$1260

Step-by-step explanation:

If tax is 3% just multiply 0.3 by 42000 to get 1260

42000*0.3=1260

Answer:

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

1/15

Decimal Form:

0.06

Answer:

A. 2a+6

Step-by-step explanation:

I did the test and this is what I got.