Fran brings home $225 per week working 15 hours of which she is able to save $40. Fran wants to have $1,400 saved at the end of 20 weeks. She may work up to 18 hours per week if she wants. She can save all of the money earned working the extra hours. Which of the following statements is true? a. Fran must work at least 15 hours per week to meet her goal. b. Fran must work at least 17 hours per week to meet her goal. c. Fran must work at least 18 hours per week to meet her goal. d. Fran will not be able to reach her goal.

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

The correct answer for the given problem above would be option B.

⇒ Fran must work 17 hours per week to meet her goal.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, According to the given details,

Fran works 15 hours per week for $225 which makes it $15 per hour.

Hence, If she adds another 2 hours per week to make it 17 hours,

Then, she will earn $255 dollars per week.

Now, since she is saving $40 dollars plus the two hours which is $30, a total of $70 per week of savings, multiplied by 20 weeks, then, she will be able to get $1,400.

Hence, The correct answer for the given problem above would be option B.

⇒ Fran must work 17 hours per week to meet her goal.

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Related Questions

what is 25 percent of 1000

Answers

Answer:

250

Step-by-step explanation:

1000 divided by 4 is 250

250 cuz 25x1000 = 250

pls help me I will give u 100 points and mark you as brainiest pls help. 1,2,3,4,5

Answers

Answer:

See explaination

Step-by-step explanation:

All these questions can be solved remembering that the area of a triangle is the base*height/2

1) 9.8*3.6/2 = 17.64

2) 14*35/2  = 245

3) 8.4*6.9/2 = 28.98

4) For this one, it is important to realize that if a triangle contains 2 perpendicular lines, it is a right triangle, and therefore, those two lines must be the base and the height. So the answer is just 1.8*2.5/2 = 2.25

5)3.2*9.6/2 = 15.36

Answer:

first is 17.64cm second is 245m third is 28.98cm fourth is 15.36

the volume of a cylinder is 210 cm³ with a radius of 14 cm find the curved surface area if the formula for curved surface area is
2πrh​

Answers

Answer:

30 cm²

Step-by-step explanation:

we need to find h

V=πr²h

h=V/πr²

h=210/14²π

h=0.341

then we found curved surface area

A=2πrh

A=2×π×14×0.341

curved surface are= 30 cm²

Please help ASAP, dhdbhehd

Answers

Answer:

42°

Step-by-step explanation:

all triangles have 180 degrees, you are given 48. the symbol above 48 tells you it is 90 degrees. ther fore you can use 180- 90 - 48= 42

Reflect the triangle in the mirror line

Answers

Answer:

image attached

Step-by-step explanation:

see attached

what is the value of x?

Answers

Answer:

D  36 degrees

Step-by-step explanation:

You add 65 degrees and 79 degrees together and get 144 degrees

The whole triangle is 180 degrees

So you take 180 - 144

and you get D, 36 degrees

Answer:

D.

Step-by-step explanation:

65º+79º+xº=180º

x=180º-65º-79º

x=115º-79º

x=36º

D.

Will give brainliest if correct.

Answers

Answer:

The answer would be, 81cm.

Step-by-step explanation:

36÷4=9

9×9=81

ANSWER:
Perimeter of square=36cm
Therefore side of square=36/4
= 9 cm
Then area of square =s*s
=9cm*9cm
=81cm^2
HOPE IT HELPS!!!!!
PLEASE MARK BRAINLIEST!!!!

The population of two different villages is modeled by the equations shown
Suppose y represents the population and x represents the number of years
since 1980. What year(s) were the populations of both villages the same?
What was the population of both villages in the year(s) they were the same
Montville: y = x2 – 30x + 540
Havertown: y = 20x + 15

Answers

Answer:

Year = 1995 and population = 315

Year = 2015 and population = 715

Step-by-step explanation:

It is given that the population of two different villages is modeled by the given equations:

[tex]y=x^2-30x+540[/tex]

[tex]y=20x+15[/tex]

The population of both villages are same after x years after 1980 if

[tex]x^2-30x+540=20x+15[/tex]

[tex]x^2-30x+540-20x-15=0[/tex]

[tex]x^2-50x+525=0[/tex]

Splitting the middle term, we get

[tex]x^2-15x-35x+525=0[/tex]

[tex]x(x-15)-35(x-15)=0[/tex]

[tex](x-15)(x-35)=0[/tex]

[tex]x=15,35[/tex]

It means, after 15 or 35 years, the population will same.

For x=15, years is [tex]1980+15=1995[/tex] and population is  

[tex]y=20(15)+15=315[/tex]

For x=35, years is [tex]1980+35=2015[/tex] and population is  

[tex]y=20(35)+15=715[/tex].

Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.

Year = 1995 and population = 315

Year = 2015 and population = 715

Calculation:

The equation is

[tex]y = x^2 - 30x + 540\\\\y = 20x + 15[/tex]

Now

[tex]x^2 - 30x + 540 = 20x + 15\\x^2 - 30x + 540 - 20x - 15=0\\\\x^2 - 50x + 525 = 0\\\\x^2 - 35x - 15x + 525=0\\\\x(x - 15) -35(x-15) = 0\\\\(x-15) (x-35) = 0[/tex]

x = 15,35

so,

When x is 15 , the population is = 20(15 )  +15 = 300 + 15 = 315

And, x is 35 , the population is = 20(35 )  +15 = 700 + 15 = 715

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A package of 12 pencils costs
$2.04. Based on the cost of this
package, what is the cost of 1 pencil?

Answers

Answer:

$0.17

Step-by-step explanation:

2.04/12=0.17

Please mark as Brainliest! :)

Have a nice day.

Answer: 0.17 for 1 pencil

Step-by-step explanation:

Attached the work.

Which takes up a larger area: the flowers or the grass?

Answers

Answer:

THE GRASS

Step-by-step explanation:

Because the grass takes up a larger area

The grass because the flower is on the grass

Which of the following is true

Answers

Answer:

I think its I,II,III

because first r+q = 90 as we'll as z= 90

second s and z are vertically opposite angles and so are equal

third x+s+r= 180 degrees because they are on a straight line

A triangle has two sides of length 8 and 15. What is the largest possible whole-number length for the third side?​

Answers

The answer is 120 have a great day.  Step-by-step explanation:

i need help this is due in 20 minutes!!!!!! PLZ!!!!!​

Answers

Answer:if the answer your looking for is the area, then it’s 16.15

Step-by-step explanation:

For what values of x does
25^x = 5^(x2-3?)

Answers

Answer:

x = 3 or x = -1

Step-by-step explanation:

     25^x = 5^(x^2 - 3)

<=> (5^2)^x = 5^(x^2 - 3)

<=> 5^(2x) = 5^(x^2 - 3)

<=> 2x = x^2 - 3

<=> x^2 - 2x - 3 = 0

<=> x^2 + x - 3x - 3 = 0

<=> x(x + 1) - 3(x + 1) = 0

<=> (x - 3)(x + 1) = 0

<=> x = 3 or x = -1

I hope this helps!

The equation of the graphed line is 2x - y = -6.
What is the x-intercept of the graph?
-3
-2
ОООО
2
4
3
6
2
2
3
4
5 6 7
Х
-5/3 -2 -11
-2
L3-
4

Answers

Answer:

-3 or (-3,0)

Step-by-step explanation:

When graphed the line 2x-y=-6 intersects the x-axis at the coordinate (-3,0)

The scatter plot shows the number of pigs and cows on various farms.




Which farmers had more cows than pigs?




Connie, Josie, Patrick, Mimi, Emma

Connie, Josie, Jackson, Jose'

Mimi, Yosef, Jacob, Emiel, Jaylan, Harold

Emiel, Jackson, Jacob, Harold, Yosef

Answers

Answer:

Connie, Josie, Patrick, Mimi, Emma

I took the test, I hope this helps! Its okay, but I tried the answer above, and it wasn't correct

Connie, Josie, Patrick, Mimi, and Emma are the farmers that had more cows than other farmers.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

We know that the number of cows is shown on the graph on the y-axis.

The number of pigs is shown on the x-axis of the graph.

we can conclude from the graph that Connie, Josie, Patrick, Mimi, and Emma had more cows than the other farmers.

If we add all of them that would become greater than others.

Learn more about addition;

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a shaded sector of a circle has an area of 4pi and an angle of 40 degrees. What is the perimeter of the sector?

Answers

Answer:

4/9*pi or 1.395

Step-by-step explanation:

We have that area of the circle, that 4 * pi, we can calculate the radius of the circle, knowing that:

A = pi * r ^ 2

replacing:

4 * pi = pi * r ^ 2

r ^ 2 = 4 * pi / pi

r ^ 2 = 4

r = 2

Therefore, knowing the radius, we can calculate the perimeter:

P = 2 * pi * r

replacing:

P = 4 * pi

That is the perimeter of the whole circle, that is to say 360 °, therefore for 40 ° it would be:

4 * pi * 40 ° / 360 ° = 4/9 * pi

That is to say that the perimeter of the sector of 40 ° is 4/9 * pi, if pi is 3.14 it would be:

4/9 * 3.14 = 1.395

Please help and give correct answer

If AB=3 cm, AC=5 cm, CD=3 cm, and CE=5 cm, what additional information is needed to prove △ABC≅△DEF?

BC=3 cm and AB=3 cm

BC=4 cm and DE=4 cm

BC=5 cm and CE=5 cm

DE=3 cm and CD=3 cm

Answers

Answer:

The correct option is;

BC = 4 cm and DE = 4 cm

Step-by-step explanation:

The given sides parameters are;

In ΔABC

AB = 3 cm

AC = 5 cm

In ΔDEF

CD = 3 cm

CE = 5 cm

We note that the point F on ΔDEF is the same as point C on ΔABC

For the two triangles to be congruent, the third side must be equal hence e have;

Where ∠B = ∠D = 90°

Hence, AC² = AB² + BC²

∴ BC = √(5² - 3²) = 4

Similarly,

CE² = CD² + DE²

∴ DE = √(5² - 3²) = 4

Hence the additional information needed to prove that ΔABC ≅ ΔDEF is BC = 4 cm and DE = 4 cm.

find the value of x

thank you in advance for your help! ​

Answers

Answer:

52

Step-by-step explanation:

Answer:

x= 12

Step-by-step explanation:

Please see attached picture for full solution.

Feel free to ask if you have any queries :)

Find the surface area of the cylinder. Round your answer to the nearest tenth. radius is 6 ft height is 7 ft

Answers

Answer:

490.1

Step-by-step explanation:

A=2πrh+2πr2=2·π·6·7+2·π·62≈490.08845

WILL MARK BRAINLIEST WHOEVER GETS IT RIGHT!

How do I solve number 12?

Answers

ANSWER:
HOPE IT HELPS!!!!!!
PLEASE MARK BRAINLIEST!!!!!!!

List five rational numbers between -4/7 and 1/2

Answers

Answer:

- ²⁾4/7 = - 8/14

⁷⁾1/2 = 7/14

- 8/14 < - 9/14 < - 12/14 < 3/14 < 5/14 < 7/14

al3xis

Give the explicit form

Answers

Answer:

[tex]a_{n}[/tex] = 100n - 112

Step-by-step explanation:

Given the recursive formula

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 100 with a₁ = - 12

This tells us that any term is found by adding 100 to the previous term

That is common difference d = 100 and a₁ = - 12

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d , thus

[tex]a_{n}[/tex] = - 12 + 100(n - 1) = - 12 + 100n - 100 = 100n - 112

Answer:

100 = 100n - 112

Step-by-step explanation:

Match the rate - - .75 -- with corresponding time of year


A. Three Months, 1/4 =
B. Six Months, 6/12 =
C. Nine Months, 9/12 =
D. 1 Month, 1/12 =

Answers

Answer: C. Nine Months, 9/12 = 9÷12 = 0.75

Step-by-step explanation:

Hi, to answer this question we have to convert the fraction into decimals and compare:

A. Three Months, 1/4 = 1÷4 = 0.25

B. Six Months, 6/12 = 6÷12 =0.5

C. Nine Months, 9/12 = 9÷12 = 0.75

D. 1 Month, 1/12 =1÷12 = 0.083333

C. Nine Months, 9/12 = 9÷12 = 0.75

Feel free to ask for more if needed or if you did not understand something.

Luke is going to reflect point R(6, 10) over the y-axis. What are the coordinates for R'?

Answers

Answer: (-6,10)

Step-by-step explanation:

Since you are reflecting over the y-axis, the x value becomes the negative

The coordinates for R' the reflected point are (-6,10).

How does reflection across axis work?

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Thus, if you're reflecting a point (x,y) along x axis, then its

f=x

abscissa will stay same but

f=y

ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

We are given that;

The point R(6, 10)

Now,

When reflecting a point over the y-axis, we simply negate the x-coordinate while keeping the y-coordinate the same.

So, to reflect point R(6,10) over the y-axis, we flip its x-coordinate to get R'(-6,10).

Therefore, by reflection answer will be (-6,10).

Learn more about reflection here;

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Ellen saved $2000 and she spent 10% of it to buy a bike. Kim saved 8% more than that of Ellen's left savings. If Lisa saved 60% as much as Kim, how much money did Lisa save?​

Answers

Answer: Lis saved $1166.4 .

Step-by-step explanation:

Given , Ellen saved $2000 and she spent 10% of it to buy a bike.

Then, Ellen's left saving = saved amount - 10% of  (saved amount)

= $2000 - 0.10 x $2000 [We convert perecntage to decimal by diving it by 100]

= $2000 - $200

= $1800

So, Ellen's left saving= $1800

Also, Kim saved 8% more than that of Ellen's left savings.

Kim's Saving = Ellen's left saving + 8% of (Ellen's left saving)

= $1800  + (0.08) x ($1800) [We convert perecntage to decimal by diving it by 100]

= $1800 +  $144

i.e. Kim's Saving= $1944

If Lisa saved 60% as much as Kim, then Lisa's saving  = 60% of (Kim's Saving)

= (0.60) x ($1944) [We convert perecntage to decimal by diving it by 100]

i.e. Lisa's saving = $1166.4

Answer:

1166.40

Step-by-step explanation:

i got it right on my test.

WILL GIVE BRAINLIEST
Given the expression: 4x10 − 64x2


Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)


Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer:

2(20-64)

Step-by-step explanation:

4*10-64*2

40-128

2(20-64)

Sophie is making a rectangular pen for her rabbit. The pen is 4 feet wide and 6 feet long. What is the area of the pen?

Answers

Answer:

The area of the pen would be 24 feet.

Step-by-step explanation:

6 multiplied by 4 is 24.

Answer:

24 feet squared

Step-by-step explanation:

the area of a rectangle = l x w

length = 6

width = 4

therefore, 4x6=24

A runner can run 3 miles in 30 minutes. how long will it take to run 2.5

Answers

Answer:

25 minutes.

Step-by-step explanation:

We can set up an equation: 3/30=2.5/n. This situation is directly proportional, since the number of minutes increases as the runner runs more miles.

We can cross multiply: 3n=30*2.5

3n=75

n=25

9.75t + 9 = 13.5t + 12 what is the solution for t

Answers

Answer:

t = - 0.8

Step-by-step explanation:

9.75t -9.75t + 9 = 13.5t - 9.75t+ 12

9 = 3.75t +12

9 - 12 = 3.75t

- 3 /3.75= 3.75 t/3.75

- 0.8 = t

Answer:

∴ t= -0.8

Step-by-step explanation:

9.75t + 9 = 13.5t + 12

9.75t-13.5t=12-9

-3.75t=3

-t=3/3.75

-t=0.8

t= -0.8

Hope this helps..Pls mark as Brainliest!!

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