Isabella makes $15.35 an hour at her company. Skyler, who works at the same company, earns $18.35 an hour. His hourly wage increases by $0.25 each year. How many years ago did Skyler start working at this company if his starting pay was the same as what Isabella makes now? Show your work or explain your reasoning.

Answer:

Step-by-step explanation:

Here is the equation for this problem:

2 1/2 + 1 3/4 + x = 12

To add 2 1/2 and 1 3/4, revert the fractions into mixed numbers, and then change the denominator to the LCM (Lowest Common Denominator)

3/2 + 7/4 + x = 12

The lowest common denominator, in this case, is 4. 7/4 stays the same because the denominator is already 4, but we need to multiply the numerator and denominator of 3/2 by two to get the denominator to 4. (Whatever you do to the numerator, you have to do to the denominator, and vice versa)

3 x 2 = 6

2 x 2 = 4

Now, the equation looks like this:

6/4 + 7/4 + x = 12

Now add the fractions. The denominator stays the same, but the numerators are added together.

6/4 + 7/4 = 13/4

Now, you can revert 13/4 back to a mixed number

13/4 = 3 1/4

The equation should look like this now:

3 1/4 + x = 12

Now subtract 3 1/4 from both sides (Meaning subtract 3 1/4 from 3 1/4 to cancel it out and also subtract 3 1/4 from 12 as well)

12 - 3 1/4 = 8 3/4

Now, it should look like this:

x = 8 3/4

You could change the 8 3/4 into a decimal as well, which would look like this:

x = 8.75

Here is a summary of the whole equation:

2 1/2 +  1 3/4 + x = 12

3/2 + 7/4 + x = 12

6/4 + 7/4 + x = 12

13/4 + x = 12

3 1/4 (-3 1/4) + x = 12 (-3 1/4)

x = 8 3/4 or 8.75 acres

Answer:

Lisa has 8 3/4 acres left for home sites

There will be 7.75 acres of land left for home sites.

Mixed fractions are type of fractions which includes both a whole part and a fractional part.

It is of the form a [tex]\frac{b}{c}[/tex], where a is the whole part and b/c is the fractional part. This actually implies that a +  [tex]\frac{b}{c}[/tex]. So we can do the cross multiplication to change the mixed fraction into improper fraction.

Total land for housing development = 12 acres

Land covered by park = 2 [tex]\frac{1}{2}[/tex]

                                     = (2 × 2 + 1) / 2

                                     = 5/2 acres

Land covered by paved areas = 1 [tex]\frac{3}{4}[/tex]

                                                  = (1 × 4 + 3) / 4

                                                  = 7/4 acres

Total land covered by park and paved areas = [tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex]

                                                                           = [tex]\frac{10}{4}[/tex] + [tex]\frac{7}{4}[/tex]

                                                                           = [tex]\frac{17}{4}[/tex]

                                                                           = 4.25 acres

So the remaining land = 12 - ([tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex])

                                     = 12 - 4.25

                                     = 7.75 acres

Hence Lisa can build the home sites in the remaining 7.75 acres of land.

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Answer:

Step-by-step explanation:

A number is irrational if:

-it cannot be written as a ratio of two integers

-the decimal part goes on forever without repeating

-is a real number that is not rational

The equation for each translation of the graph of y=| 1/2x-2|+3 is

g(x)=| 1/2x-3/2|+3.

Given that,

[tex]y=| 1/2x-2|+3[/tex]

Translate the above one unit to the left

Replace y with f(x)

[tex]f(x)=| 1/2x-2|+3[/tex]

A translation is a movement of the graph either horizontally parallel to the -axis or vertically parallel to the -axis.

When an absolute function is translated to the left, the resulting function is,

[tex]g(x)=f(x-h)[/tex]

Because it is been translated 1 unit to the left, h = -1

[tex]g(x)=f(x-(-1))[/tex]

[tex]g(x)=f(x+1)[/tex]

Now we calculate f(x+1)

[tex]f(x+1)=| 1/2(x+1)-2|+3[/tex]

[tex]f(x+1)=| 1/2x+1/2-2|+3\\f(x+1)=| 1/2x+1-4/2|+3\\[/tex]

[tex]f(x+1)=| 1/2x+(-3)/2|+3\\\\f(x+1)=| 1/2x-3/2|+3[/tex]

We have,g(x)=f(x+1)

[tex]g(x)=| 1/2x-3/2|+3[/tex]

To learn more about the translation visit:

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Answer:

three and three fourths

Step-by-step explanation:

add all the numbers and subtract from 20

Answer:

102.849

Step-by-step explanation:

the perimeter of the square is just 4 × 18.

for the semi-circle the perimeter should be R(pi + 2)

so the perimeter of a semi circle is 30.849

add both values for the final answer which is 102.849

Answer:

Step-by-step explanation:

To start with we can consider how many possibilities there are for the first card which is obviously 52, as any one of the cards in the deck can be found on the top of the pile. The next card is a bit trickier as there are only 51 possible cards that it could be as the  first card takes up a spot. The third card now only has 50 possible cards it could and this continues all the way down to the last card.

is that good

Answer: Correct me if I am wrong, but since you chose the middle answer I will be awnsering that one

you will need to catch 1,000 more dragonfly so it will look like this

34,280 + 1000d + 1000 > 36,480

Answer:

Step-by-step explanation:

b,d,e,f :)

Answer:

C ( 3,-1) is a solution

Step-by-step explanation:

2x-3y>6

Let x = 3

2(3) -3y >6

6 - 3y>6

Subtract 6

-3y >0

Divide by -3

-3y/-3 < 0/-3

y < 0

If x = 3 y must be less than 0

C ( 3,-1) is a solution

Answer:

C

Step-by-step explanation:

C has the only two equivalent expressions.

Answer C

PS. If wrong let me know. If not, five stars, thanks and Brainliest would be great. Glad I could help

Answer:

Area=7.071428571

Step-by-step explanation:

Before finding its area lets find its radius.

Given,

Diameter=3

Now,

Radius,r=D/2

          r =3/2

           r=1.5            

Again,

         Area of circle,A= pi*r*r

                           A =22/7*1.5*1.5

                           A=22/7*2.25

                           A=49.5/7

                           A=7.071428571 ans.

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

[tex]\implies r^2 + r^2 = c^2[/tex]

[tex]\implies 2r^2 = c^2[/tex]

[tex]\implies c=\sqrt{2r^2}[/tex]

So the diagonal of the square = [tex]\sqrt{2r^2}[/tex]

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

[tex]\implies \sqrt{2r^2}+r=1[/tex]

[tex]\implies \sqrt{2r^2}=1-r[/tex]

[tex]\implies 2r^2=(1-r)^2[/tex]

[tex]\implies 2r^2=1-2r+r^2[/tex]

[tex]\implies r^2+2r-1=0[/tex]

Using the quadratic formula to calculate r:

[tex]\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}[/tex]

[tex]\implies r=\dfrac{-2\pm\sqrt{8}}{2}[/tex]

[tex]\implies r=-1\pm\sqrt{2}[/tex]

As distance is positive, [tex]r=-1+\sqrt{2}=\sqrt{2}-1[/tex]  only

Answer:

i think maybe $1833.25

Step-by-step explanation:

[tex] \frac{20}{100} \times 6300[/tex]

= $1260 + $573.25

= $1833.25

answer is step 1

Step-by-step explanation:

Answer:

I believe it's a, step one

Step-by-step explanation:

the term "of" in mathematics usually means division

Answer:

125, 100, 80,64,51.2,40.96...

Step-by-step explanation:

y=[tex]\frac{4}{5}[/tex]x

So let's work backwards!

[tex]\frac{5}{4}[/tex](80)

=100

Then...

[tex]\frac{5}{4}[/tex](100)

=125

Hope this helps! :D

Answer:

  125, 100

Step-by-step explanation:

Perhaps the terms of your series are supposed to be ...

  __, __, 80, 64, 51.2, 40.96, ...

The common ratio is 64/80 = 0.8, so the recursive relation is ...

  t[n] = 0.8×t[n-1]

__

Solving for the previous term, we find ...

  t[n]/0.8 = t[n-1] . . . . . . divide by 0.8

or ...

  t[n-1] = 1.25×t[n] . . . . . rearrange

Then the term previous to 80 is 1.25×80 = 100.

And the term previous to 100 is 1.25×100 = 125.

The first two terms of the geometric sequence are 125 and 100.

2.4x+2.8=10

Use inverse operations to find for x!

x= 3

Answer:

x = 60°

Step-by-step explanation:

m∠EGD = m∠BGF = x°

The following m∠EGD, m∠DGC, m∠EGA lies on a straight line.

solve:

Answer: tbh its not a

Step-by-step explanation: i just know

Answer:

Answer is C.      2, -4,

Step-by-step explanation:

Answer:

The lowest common multiple of 10 and 25 is 50, so set that as the denominator.

9/10=45/50 (multiply by 5)

23/25=46/50 (multiply by 2)

46/50 > 45/50 therefore

23/25 > 9/10.

Hope this helps :)

Step-by-step explanation:

Answer:

I think this is correct.

Step-by-step explanation:

1/-7 =  -0.14285714285714

If you round it to the nearest hundredth, it will be -0.14.

I hope you meant negative :)

Answer:

30

Step-by-step explanation:

use Pythagoras theorem

hypothenuse of bottom triangle =√24^2+32^2 = 40

x =√50^2-40^2 = 30

Answer: See below

Step-by-step explanation:

If the tempature is dropping 3 degrees every hour mulitply 3x5 and you will get 15. Therefore the answer is -15 degrees

Answer:

[tex]A.) -67,~ \sqrt{81},~ \dfrac 75[/tex]

Step-by-step explanation:

[tex]\text{A rational number is a number that is expressed as the ratio of two integers.}[/tex]

Answer:

Step-by-step explanation:the answer is 5

Answer:

the answer i got was 5

Step-by-step explanation:

Answer:

point d is correct answer

formula: pi×2×r or pi×d

1. 9m×2×pi= 56.55m

2. 17ft× pi= 53.41 ft

3. 3yd×pi= 9.42 yd

4. 5cm× pi= 15.71cm