4. Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. Her roommate Frances also has a job. Her pay for t hours each week is given by the function f(t)= 10t, where 5

Answers

Answer 1

Given that Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. Her roommate Frances also has a job. Her pay for t hours each week is given by the function f(t)= 10t, where 5 ≤ t ≤ 15.

Part A:

Given that Grace's time is rounded to the nearest quarter of an hour. The domain for Grace is given by {10, 10.25, 10.50, 10.75, - - -, 19.75, 20}.

The range for grace is given by {9(10), 9(10.25), 9(10.50), 9(10.75), - - -, 9(19.75), 9(20)} = {90, 92.25, 94.5, 96.75, - - -, 177.75, 180}

The domain for Frances is given by: 5 ≤ t ≤ 15.

The range for Frances is given by: 10(5) ≤ f(t) ≤ 10(15) = 50 ≤ f(t) ≤ 150.

Part B:

Grace earns $9 per hour and $80 to $180 per week while Frances earns $10 per hour and $50 to $150 per week.

Related Questions

Benjamin solved the equation 3+/2=10 and justified each step as shown. Identify Benjamin’s error and fix his mistake.
3+x/2=10 GIVEN
x/2=7 MULTIPLICATION PROPERTY OF EQUALITY
x=14 SUBTRACTION PROPERTY OF EQUALITY

Answers

How to solve the equation properly:

3 + x / 2 = 10

Multiply 2 on both sides.

3 + x = 20

Subtract 3 from both sides.

x = 17.

What he did wrong:

He subtracted the three on both sides before he multiplied the two. This will make him get the incorrect answer because he did it in the wrong order.

Hope this helps!

A soccer field has an area of 7/8 square miles. The length of the field is 2/5 miles. What is the width of the soccer field?

Answers

Answer: The answer is 35/16 miles

Step-by-step explanation: I have my ways ;>

A farmer had 1,000 horses and cows. After selling some of them, he had 550 horses and 350 cows left. How many horses and cows did he sell altogether?

Answers

the farmer had sold 100 horses and cows

What is the sum of the geometric sequence −4, 24, −144, … if there are 7 terms?-159,964

−26,661

26,661

159,963

Answers

The common difference is multiply f(n-1) by -6 and (f)1=-4

mutiply -144 by -6, then 864 by -6, then -5184 by -6. then 31104 by -6 to get -186624

so we have -4, 24, -144, 864, -5184, 31104, -186624 as the seven terms in the geometric sequence, now we just need to add these together and getting the final answer of -159,964

Answ

-159,964

Step-by-step explan

I got it right on the test

ShopRite has jeans on sale for 3/10 off .Save more has jeans on sale for 33% off for has a better sale on jeans?explain.

Answers

3/10 is 30%
Save more jeans are 33% off

write the answer as a decimal fraction 14/100=? /10+? /100=?

Answers

14.100 or you can do something like that try it in see if it’s right

Final answer:

To write the fraction 14/100 as a decimal fraction, divide the numerator by the denominator. The result is 0.14. Additionally, dividing any number by 100 will result in moving the decimal two places to the left.

Explanation:

To write the fraction 14/100 as a decimal fraction, divide the numerator (14) by the denominator (100). 14 divided by 100 is equal to 0.14.

To find an expression as a decimal fraction, you can first convert the fractions to a decimal by dividing the numerator by the denominator.

For example, 10/100 is equal to 0.10 (10 divided by 100) and ?/100 is equal to ? (dividing any number by 100 will result in moving the decimal two places to the left).

Learn more about Converting fractions to decimal fractions here:

https://brainly.com/question/11252520

#SPJ2

the tempura temperature halfway to the sun from mercury is aproxamently 1,800 Celsius and scientist theorize that it may be 26,000 times hotter at the center of the sun. aproxamently how hot is the center of the sun

Answers

Final answer:

Using the given approximation, the temperature at the Sun's core would be 46,800,000 degrees Celsius. However, scientific data indicates that the accurate temperature is 15 million degrees Celsius, due to nuclear fusion processes occurring at the core.

Explanation:

If the temperature halfway to the Sun from Mercury is approximately 1,800 Celsius and scientists theorize that it may be 26,000 times hotter at the center of the Sun, we can calculate the temperature at the center by multiplying 1,800 Celsius by 26,000. This gives us an estimated temperature of the sun's core at 46,800,000 degrees Celsius. However, according to scientific data, the temperature near the center of the Sun is thought to be around 15 million degrees Celsius (1.5 ×[tex]10^7[/tex] °C) or kelvin, which is much more accurate than the extrapolation from the original question.

Mercury's proximity to the Sun accounts for its high surface temperatures, but without a significant atmosphere, the temperatures fluctuate dramatically between day and night. At the Sun's core, however, the temperatures reach extremes due to nuclear fusion, which releases vast amounts of energy and maintains the central temperature around 15 million degrees Celsius.

A baker used 4 cups of flour to make 5 batches of brownies. He used_of a cup of flour to make 1 batch of brownies

Answers

(I dont know if this is the way your teacher told you how solve the problem but I'm gonna try it anyway)

First of all, Let x = the mystery amount of flour

To create my equation, I put cups of flour over the amount batches in a formation, kind of like a fraction.

cups
-----------
batches

Next, I fill in the values.

cups 4
----------- = ---------
batches 5

The 4/5 represents the first ratio of flour/batches.

cups   4 x
----------- = ---------   = ---------
batches 5 1

Since we do not know that amount of flour it took to make one batch, we put x in it's place.

Now it's time to cross multiply. It's exactly like it sounds! Multiply diagonally.

Multiply 5 and 'x'. Multiply 4 and 1.

You end up with a eqaution that looks like:

5x = 4

As you would for any solve-by-x equation, divide the five on both sides.

5x= 4
- -
5   5

4/5 = Four-Fifths

5/5 cancels itself out and poofs into thin air.

You end with x = 4/5

This is the answer.

The baker used 4/5 cups of flour to make 1 batch of brownies :)

How do you write 1/10 in percent

Answers

1/10 = 10/100

10/100 = 0.10

0.10 = 10%

10% is your answer

hope this helps

10% cause it's just like counting by 10's

Find the outlier in the data: 38, 38, 18, 28, 36, 30, 39, 32. How does the outlier affect the mean? If necessary, round to the nearest tenth. 43; raises it by 1.5. 18; lowers it by 2. 43; lowers it by 1.5. 18; raises it by 2.

Answers

the outlier is 18. This outlier will lower the average mean. The answer is B

The outlier is 18.
and it lowers the mean by about 2

You put $550 in an account that earns 4.4% simple interest per year. How much interest do you earn in 6 month

$1.21

$12.10

$121.00

$145.20

Answers

(550*4.4)/100=24.2
24.2/12=2.016 $ in month
2.016*6=12.10 $

12.10 would be the interest for only 6 months.

Simplify this algebrtic expression
Z-4/4+8

Answers

it equals to z/16

brainliest answer plz:)

1/12z + -1/3 is the answer.

Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
At a boating and sports store, the cost of renting a personal watercraft is $53 per half hour, which includes a 6% sales tax. Determine the cost of a half hour rental before tax.

The equation is ?. The cost of a half hour rental is $? Per half hour.

Type an equation using x as the variable.

Answers

[tex]y = 53x[/tex]
y= 53(1)
[tex]y = 53[/tex]

Giving who ever answers correctly over 30 points.

1: Solve for x.

x - 3/8 = - 5/8

a: x=1/4
b: x= -1/4
c: x= -1

2: Solve for x.

2x = 15 + x

a: x= -15
b: x= 15
c: x= 15/2

3: Solve for x.

x + 5 = 2x

a: x=3
b: x= -5
c: x= 5

Answers

The first one would be b,

second is b

third is c.

Hope this helps!

Number 1 is b
Number 2 is b
Number 3 is c

What number goes on top and how do you solve it.

Answers

So basically, each number is equal to the two numbers below it added together.

See, 7 = 3+4, 8 = 5 +3, etc.

So, the top would be 16 + 17.

16 + 17 = 33

So 33 goes on top.

The angles of a quadrilateral are 140, 80, 60, and 80
What type of quadrilateral could it be?

Answers

your answer is a trapezium

Dr. McDonald thinks that his group of earth science students is particularly special (in a good way), and he is interested in knowing if their class average falls within the boundaries of the average score for the larger group of students who have taken earth science over the past 20 years. Because he has kept good records, he knows the means and standard deviations for both his group of 36 students and the larger group of 1,000 past enrollees. Here are the data he has, and the values for which you will need to compute the z-test

Answers

I don't know what witch is this

A pet store has 9 puppies and 48 kittens.

What is the ratio of kittens to puppies?

Enter your answer in simplest fractional form in the box.

Answers

ratio of kittens to puppies = 48/9 = 16/3

answer
ratio of kittens to puppies = 16/3

hope it helps

The ratio of kittens to puppies is [tex]\dfrac{16}{3}[/tex].

Given:

The number of puppies is 9.

The number of kittens is 48.

To find:

The ratio of kittens to puppies.

Explanation:

The ratio of kittens to puppies is the fraction of the number of kittens and the number of puppies. So,

[tex]\text{Ratio}=\dfrac{\text{Number of kittens}}{\text{Number of puppies}}[/tex]

[tex]\text{Ratio}=\dfrac{48}{9}[/tex]

[tex]\text{Ratio}=\dfrac{16}{3}[/tex]

Therefore, the ratio of kittens to puppies is [tex]\dfrac{16}{3}[/tex].

Learn more:

https://brainly.com/question/25183457

do any of the points below fall on the linear equation shown. Please show work

Answers

You are given three points. Each point consists of an abscissa (x-value) and an ordinate (y-value). One by one, take the abscissas and insert them into the given formula to produce a y value. Then, compare this calculated y-value to the ordinate given.

Example: Determine whether (2,0) lies on the graph of the given line.

Subst. 2 for x: y = (9/5)(2-273) + 32 = -455.8. This is not equal to the given ordinate (0), so NO, (2,0) does NOT lie on the graph of the given function.

Please help me!! This is due by 11.59pm. Please show how you got the answer. I got $270.

Answers

It is $150 because you want 125% of 120. You can put 125% as a fraction so the equation now is 125/100*120. So simplifying, you get 12.5*12. So the actual answer is $150.

Noah currently has an account balance of $2,976.45. He opened the account 11 years ago with a deposit of $1,963.45. If the interest compounds quarterly, what is the interest rate on the account?

Answers

What we know:
Acct. balance A (11)= $2,976.45
Pricipal=$1,963.45
Compounded (n)=quarterly (4)
rate=r
Compound interest formula: A (t)=p (1+r/n)^nt

What we need toi find:
If the interest compounds quarterly, what is the interest rate on the account? Find r.
A (t)=p (1+r/n)^nt
2976.45=1963.45 (1+r/4)^(4×11)
2976.45=1963.45 (1+r/4)^44
2976.45/1963.45=1963.45/1963.45 (1+r/4)^44
1.5159=(1+r/4)^44
(1.5159)^(1/44)=((1+r/4)^44)^(1/44)

1.0095=1+r/4
1.0095-1=1-1+r/4
.0095=r/4
.0095(4)=r/4 (4)
.038=r

Rate = 3.8%

Answer:

The interest rate is 3.79% or 3.8%

Step-by-step explanation:

The formula to find how much money A we have at the end of t years if we start with a principal or amount of money P today and the interest is compounded n times in the years is:

A=P(1+ r/n)^(nt) (1)

Here A = $2,976.45 the final amount

t = 11 years

P = $1,963.45.

and n = 4 because the interest is compounded quarterly or 4 times in the year.

We the need to simplify the interest rate r in (1) so:

A=P(1+ r/n)^(nt) (1)

A/P = (1+ r/n)^(nt)

(A/P)^(1/nt) = (1+ r/n)

(A/P)^(1/nt) - 1 = r/n

((A/P)^(1/nt) - 1 ) * n = r

r = ((A/P)^(1/nt) - 1 ) * n

We replace values and solve doing parenthesis exponents first

r = ((2,976.45/1,963.45.)^(1/(4*11)) - 1 ) * 4

r= ((1.51^(1/44)) -1)*4

((1.51^(1/44)) -1)*4

r= (1.009499443 - 1)*4

r= 0.009499443 *4 = 0.037997773

That expressed in percentage multiplying by 100 is 3.79% or 3.8% interest

4(x+8)-4=34-2x steps

Answers

Step 1: Simplify both sides of the equation.4(x+8)−4=34−2x(4)(x)+(4)(8)+−4=34+−2x(Distribute)4x+32+−4=34+−2x(4x)+(32+−4)=−2x+34(Combine Like Terms)4x+28=−2x+344x+28=−2x+34Step 2: Add 2x to both sides.4x+28+2x=−2x+34+2x6x+28=34Step 3: Subtract 28 from both sides.6x+28−28=34−286x=6Step 4: Divide both sides by 6.6x6=66x=1

math question down below

Answers

Your answer is -0.364

In the diagram, m CD = 128° and m DA = 76°. What is m∠ABC?

Answers

Angle ABC is an inscribed angle.

Inscribed angle = 1/2 * Intercepted Arc

The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204

m<ABC = 1/2(204)

m<ABC = 102 degrees

You answer is D) 102

Answer: The value of m∠ABC is 102° .

Step-by-step explanation:

Since we have given that

m CD = 128°

m DA = 76°

We need to find the m∠ABC, Angle subtended at the center is half of the sum of the measure of the arc intercepted by it.

[tex]\frac{m\ CD+m\ DA}{2}=\angle ABC\\\\\frac{128^\circ+76^\circ}{2}=\angle ABC\\\\102^\circ=m\angle ABC[/tex]

The value of m∠ABC is 102° .

If d = 20 and C = 20π
If d = 26 and C = 26π
If r = 12 and C = π
If r = 18 and C = 14π
If r = 6 and C = 12π
If r = 50 and C = 100π

^Matches w
then d = 1
then d = 100
then d = 12
then d = 14
then r = 10
then r = 13

What goes w what!

Answers

If d = 20 and C = 20π, then r = 10.
If d = 26 and C = 26π, then r = 13.
If r = 1/2 and C = π, then d = 1.
If r = 7 and C = 14π, then d = 14.
If r = 6 and C = 12π, then d = 12.
If r = 50 and C = 100π, then d = 100.
*Note, r= 1/2×d or d=2×r

The formula f= n/4 + 37 estimates the temperature F in degrees Fahrenheit when crickets chirp n times per minute. Use the formula to estimate the
temperature when n = 75 chirps/min. Round to the nearest whole number, if necessary.

a) 52mc009-4.jpg
b) 53mc009-3.jpg
c) 56mc009-5.jpg
d)58mc009-2.jpg

Answers

the answer is C when you plug in 75 for n you get 75/4+37 which equals 55.75 when rounded to the nearest whole number it is 56 which is C. Hope that helps

Answer:

56°F

Step-by-step explanation:

Given : The formula[tex]F = \frac{n}{4} + 37[/tex]estimates the temperature F in degrees Fahrenheit when crickets chirp n times per minute.

To Find: Use the formula to estimate the temperature when n = 75 chirps/min.

Solution:

Formula : [tex]F = \frac{n}{4} + 37[/tex]

Where F in degrees Fahrenheit when crickets chirp n times per minute.

Now we are supposed to substitute n = 75

So, [tex]F = \frac{75}{4} + 37[/tex]

[tex]F = 55.75[/tex]

Hence the temperature is 56°F when n = 75 chirps/min.

The figure shows the letter T and four of its transformed images—A, B, C, and D. (See image.)

Which of the four images was formed by a reflection of the letter T?

A) A
B) B
C) C
D) D

Answers

its C
I believe it is

is 5 factor of the number 38 yes or no

Answers

no it is not. 5 can go into 35 and 40, but not 38

The factors of the number 38 are 1, 2, 19 and 38. For any positive number, the number 1 and the number itself are factors, so 1 and 38 are inherent factors. Additional numbers that divide 38 evenly are 2 and 19.

find the new amount given the original amount and the percent of change. 29,000; 4% decrease

Answers

Answer: 27,840
If the number 29,000 is being reduced by 4%; in other words, 96% of 29,000, then the answer is 27,840. This was found by multiply 29,000 by 0.96 to represent 96%, or a 4% decrease.

I need help Simplifying!!!!!!!!!!
2x−(x+6)

Answers

To simplify this, we first need to distribute the negative sign to the (x+6). It's easier to see if we rewrite the negative as -1:
[tex]2x+(-1)(x+6)=2x+(-1)*x+(-1)*6=2x-x-6[/tex]

Now combine like terms:
[tex]2x-x-6=x-6[/tex]

2x - (x + 6)

The first step is to multiply every term inside the parentheses by -1.

2x - x - 6

Now combine like terms.

x - 6

Done.

Other Questions

A textile mill has separate departments for spinning, weaving, dying, and printing. the outputs of one department become the inputs for the next department. this describes departmentalization based upon ________.a.divisionb.productc.customerd.geographye.process does a basketball float or sink in water Nodding, smiling, and saying, "uh, huh" are all forms of response known as Compare the religious policies of Queen Mary and Queen Elizabeth. Why do you think Elizabeths policies were more successful? a time when Greek culture spread throughout the non-Greek world The apartments in Brian's apartment house are numbered consecutively on each floor. The sum of his number and his next-door neighbor's number is 1419. What are the two numbers? the tempura temperature halfway to the sun from mercury is aproxamently 1,800 Celsius and scientist theorize that it may be 26,000 times hotter at the center of the sun. aproxamently how hot is the center of the sun Slideboard leg curl deadlift, kettlebell is what type of exercise? The formula f= n/4 + 37 estimates the temperature F in degrees Fahrenheit when crickets chirp n times per minute. Use the formula to estimate the temperature when n = 75 chirps/min. Round to the nearest whole number, if necessary.a) 52mc009-4.jpgb) 53mc009-3.jpgc) 56mc009-5.jpgd)58mc009-2.jpg In the diagram, m CD = 128 and m DA = 76. What is mABC? Discuss the impact of not having an abundance of niacin and riboflavin on atp production. Compare or Contrast London's "War" and Ambrose Bierce's "Horseman in the Sky."PLEASE HELP!!!!!!! history question down below Electric charge drives this series of pumps and triggers known as ETS reactions. What is the net effect of these reactions? A. ATP become ADP as hydrogen ions are pumped back and forth across the matrix. B. ATP is created as oxygen is consumed, and water is produced along the way. C. Energized molecules, such as NAD and FAD, accept electrons as ATP is produced. D. NADH and FADH2 form water molecules that pump ATP back and forth across the matrix. Which of the following was a main concern of the Anti-federalists during the Constitutional Convention?- If the states had too much power, the nation would not be united.- The federal government did not have enough power over the states.- Too much power in the federal government could lead to corruption.- The federal government needed to be strong to gain the respect of other nations. Athenian democracy was criticized by Socrates because it gave too much power to the people true or false What reforms were workers demanding when they marched in St. Petersburg in 1905? Check all that apply.A. an elected legislatureB. better living conditionsC. more personal freedomsD. better working conditionsE. higher wages for experience(There is multiple answers to this question) Algunos de los platos que puedes comer en la Isla Margarita son:1) Mate y facturas2) Empanadas con carne mechada, queso o cazn3) Helado de coco en su propia concha4) Tacos de res Quin cubre todos los gastos de educacin en Cuba? A balloon at an amusement park has 1,500 g of gas. By what amount will the mass of the balloon decrease if all the gas inside it escapes?- 750 g- 1,500 g-2,000 g- 3,000 gSOMEONE PLEASE HELP ME IT WILL BE SOOOO APPRECAITED! Steam Workshop Downloader