Holly earns $30 for babysitting 5 hours. She earns $28 when she does chores for 4 hours. Which compares the unit rates?

Answers

Answer 1

The rate of earning money for both activities will be calculated by dividing the amount earned by the total time spent for each of the activity.

 Babysitting:         rate = ($30 / 5 hours ) = $6 / hour

 Doing chores:      rate = ($28 / 4 hours) = $7 / hour 

Thus, Holly is able to earn money faster when doing the chores compared to when she do the babysitting if she work for the same amount of time for each. 

Answer 2

Answer:

The unit rate for doing chores is $1 more than the unit rate for babysitting.

Step-by-step explanation:

30 divided by 5=6  So that means it was six dollars for babysitting.

28 divided by four=7  So that means it was seven dollars for babysitting.





Related Questions

I can't seem to figure it out can someone please help me??

Answers

Start by drawing a line AB, then half way the line, label C, which is the midpoint. Continue to follow the instruction until all labels are in place.

We know that line DC = 16, that means line AD also 16
Line AE = ED = 8
Line EF = FD = 4
Line FG = GD = 2

Line DB = 16+32 = 48
Line DH = 48/2 = 24

Line GH = 2+24 = 26

the height of an object dropped from the top of a 320-meter building is given by h(t)= -5t^2+320. how long will it take the object to hit the ground

Answers

0=320-5t^2
320=5t^2
t^2=64
t^2=8^2
t=8

What is 1 3/4 - 5/6r =8/3

Answers

1 3/4 - 5/6r = 8/3

-5/6r + 7/4 = 8/3

-5/6r +7/4 - 7/4 = 8/3 -7/4
-5/6r = 11/12

(6/-5)*(-5/6r)=(6/-5)*(11/12)
=-11/10

r = -1 1/10

What is the circumference of a circle with a 7 foot diameter

Answers

To do this, we have to multiply the 7 feet diameter by pi to get the circumference because the formula for circumference is [tex]C = \pi *d[/tex], or circumference = pi times diameter. 7 x 3.14 (pi rounded) = 21.98

Answer: 21.98 feet
Circufmernece=pi times diameter
given that diameter=7ft

circumfernece=7ft times pi
circumfernce=7π ft or aprox 21.98ft

NEED HELP FAST!!!
2.
Two lines, C and D, are represented by the equations given below:

Line C: y = x + 10
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why? (5 points)



(5, 17), because one of the lines passes through this point

(5, 17), because the point lies between the two axes

(4, 14), because the point does not lie on any axis

(4, 14), because both lines pass through this point

Answers

To solve this system of equations, you can just set them equal to each other as they both equal y.  
[tex]x+10 = 3x+2 \\ x+8=3x \\ 8=2x \\ x=4\\[/tex]   
To find the value of y, just plug x back into one of the equations:  
[tex]y=4+10 \\ y=14[/tex]  
The answer to the system is (4,14), but there are two choices corresponding to that. Because this system has a solution that satisfies both x and y, they intersect at a certain point (4,14)  
Your answer is (4, 14), because both lines pass through this point

Answer:

answer D

Step-by-step explanation:

In a public opinion poll,624 people from a sample of 1,100 indicated they would vote for a specific candidate.how many votes can the candidate expect to receive from a population of 40,000

Answers

Make 1,100 + 624 and minus - it by 40,000

A watering can dispenses water at a rate of 0.15 gallon per minute. The original volume of water in the can was 5 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y) as a function of time in minutes (x) from the first minute after the can starts dispensing water?

Answers

The changing rate of the amount of water in the watering can is a constant rate of 0.15 gallon per minute. 

The initial volume of water in the can at time = 0 is 5 gallons

The function will be a linear function in the form of [tex]y=ax+b[/tex] where 
[tex]y[/tex] is the volume of water in the can after [tex]x[/tex] minutes
[tex]a[/tex] is the changing rate
[tex]b[/tex] is the initial volume when time is 0

Substitute all the values into the form we have

[tex]y=0.15x+5[/tex]

Answer:

The changing rate of the amount of water in the watering can is a constant rate of 0.15 gallon per minute.

The initial volume of water in the can at time = 0 is 5 gallons

The function will be a linear function in the form of  where

is the volume of water in the can after  minutes

is the changing rate

is the initial volume when time is 0

Substitute all the values into the form we have

Step-by-step explanation:

y=0.15x +5

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 3θ. PLEASE HELP ME SOLVE RN I NEED THIS, ALSO INCLUDE THE PROVING PART.

Answers

Symmetry can be determined visually in a graph. If both graphs are mirror-image of each other, then both of the equations are symmetric. But, you can also determine it analytically through testing the symmetry. These are the rules:

If
f(r, θ) = f(r,-θ), symmetric to the polar axis or the x-axis
f(r, θ) = f(-r,θ), symmetric to the y-axis
f(r, θ) = f(-r,-θ), symmetric to the pole or the origin


Test for symmetry about the x-axis
f(r,θ): r=4 cos3θ
f(r,-θ): r = 4 cos3(-θ) ⇒ r = 4 cos3θ
∴The graph is symmetric about the x-axis.

Test for symmetry about the y-axis
f(r,θ): r=4 cos3θ
f(-r,θ): -r = 4 cos3θ
∴The graph is not symmetric about the y-axis.

Test for symmetry about the origin
f(r,θ): r=4 cos3θ
f(-r,-θ): -r = 4 cos3(-θ) ⇒ r = -4 cos3θ
∴The graph is not symmetric about the origin.

Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?

Answers

f(x) = x^2 + 2x - 15

You can either factor it or use the quadratic formula.

Factored:
y = x^2 + 2x - 15
(x + 5)(x - 3)
x = -5, 3

Quadratic Formula:
-b +/- √(b^2 - 4ac) / 2a
-2 +/- √(2^2 - 4(-15) / 2
-2 +/- √(4 + 60) / 2
-2 +/- √64 / 2
-2 +/- 8 / 2

-2 + 8 / 2
6/2
3

-2 - 8 / 2
-10/2
-5

x = -5, 3


Using both of these methods, you would get the x-intercepts 3 and -5.

Left x intercept (-5,0)
Right x intercept ( 3,0)

A 1:35 scale model of a fishing hut is 17 cm tall, 18 cm wide, and 19.7 cm long. What are the dimensions of the actual ice fishing hut?

Answers

Multiply each  dimension by 35:-

17*35 =  595 cm

18*35 = 630 cm

19.7 * 35 = 689.5 cm

in meters the dimensions are L =  6.895 m, W =  6.3 m and H = 5.95 m


To determine the actual size of an ice fishing hut from a 1:35 scale model, multiply each model dimension by 35, resulting in a real hut approximately 5.95 meters tall, 6.3 meters wide, and 6.895 meters long.

The dimensions of the actual ice fishing hut, based on the 1:35 scale model, can be found by multiplying each dimension of the model by 35. To find the height, multiply 17 cm by 35, which gives 595 cm or 5.95 meters. To find the width, multiply 18 cm by 35, which gives 630 cm or 6.3 meters. Finally, to find the length, multiply 19.7 cm by 35, resulting in 689.5 cm or 6.895 meters. Therefore, the actual dimensions of the ice fishing hut are approximately 5.95 meters tall, 6.3 meters wide, and 6.895 meters long.

Silvia e Rebecca acquistano on line 10 cubi di polistirolo da rivestire di stoffa.Le dimensioni di ogni cubo riportate nel sito sono 150x150x150mm.
Possono essere sufficenti 2m^2 di stoffa?
Si perché?
No perché?

Answers

I translate the task in english "Silvia and Rebecca buy on line 10 cubes of styrofoam to coated fabric.The size of each cube contained in the website are 150x150x150mm.May be sufficient 2m^2 of cloth?You why?No why?"

We need to find the area of full surface of cube. The formula is 6 * A^2.
150mm=15sm=0,15m.

0.15^2=0.0225 m^2 of fabric for one side.
Cube have 6 sides. 
6*0.0225=0.135 m^2 of fabric for one cube.

And we need to cover 10 cubes, so we must to multiply 0.135 by 10.
10*0.135=1.35 m^2.

Answer: it's enough of 2 m^2

solve for w.
7w=11.2

Answers

Answer: w = 1.6
To solve for w, all you have to do is divide both sides of the equation by 7. This will get rid of the coefficient on the variable, w, allowing you find out what it equals. 11.2/7  = 1.6, and 7w/7  = w, so w = 1.6.
The answer is w=1.6 it is pretty easy if you think about it 

Anton bought a picnic cooler. His total bill, with tax, was $7.95. He paid 6 percent sales tax. How much did he pay for the cooler alone without tax? The cost of an item is 100% of its price. What number goes in the ? Of the additional problem

Answers

1.00-0.06 = 0.94

7.95 x 0.94 = 7.473, round to 7.47 without the tax

1) Lee y plantea una ecuación que sea útil para resolver cada ecuación.
a. El perímetro de un jardín rectangular es de 58 m. Si el lado mayor mide 11 m mas que el lado menor.¿Cuanto mide los lados del jardín?

Answers

9 X 9 X 20 X 20

Pido perdón para mí español, pero creo que este es la ecuación.

Create a scenario that leads to an inequality of the form ax + b > c.

Answers

A scenario that might fit the inequality ax + b > c is that a vendor has a quota of sales of c in $ in which when the time she makes above the quota at the end of a period of time, she will receive a bonus. In this case, she has to sell x items worth $a per x sold and the bonus amount would be b$. So in all, we have to balance the units from left and right, which are both in $. A greater inequality is used because the greater the sales or above the quota, the better sign it is indicating good performance in the market.

Answer:

Ben needs more than 200 points to unlock the next level in the game

He already has 45 points

For every win, he receives 5 points

No. of wins required: x

5x + 45 > 200

the football team offense began a drive from their 20 yard line. They gained 8 yards, lost 12 yards and lost 2 yards before having to kick the ball. What yard line were they on when they had to kick the ball

Answers

on yard 14.
20+8-12-2=14

hope this helped!! xx
14
expression:
20+8=28
28-12=16
16-2=14
OR
20+8-12-2=14
SRRY IF HAS MISTAKE!!!
DID NOT COPY!!!!
im telling the truth!!!

Which property of real numbers is illustrated by the following statement?
6(7x) = (6 ∙ 7)x

Answers

6(7x) = (6 ∙ 7)x

answer
Associative Property of Multiplication

Which of these is the algebraic expression for "some number to the power of 4?"

x4

4x

4x

x + 4

Answers

Answer:

They deserve brainliest!

Step-by-step explanation:

In this exercise we have to identify the formula that is being treated in a written way, so correlating correctly we have:

Letter A

What is power number?

The power is a simplified notation of representing the multiplication of a number, which we call the base, repeatedly by the value of a power that determines how many times we must multiply this number.

So the only one that corresponds to "some number to the power of 4" is:

[tex]x^4[/tex]

See more about power at brainly.com/question/1618040

If 10% of a group ate sandwiches two days in a row, and 40% of the group had a sandwich on the first day, this means that 25% of the group that ate a first sandwich had a second. A. True B. False

Answers

The problem can be represented on a Venn diagram, as shown below.

We have P(Day 1 ∩ Day 2) = 0.1 and P(Day 1) = 0.4
We can deduce that 30% of the group ONLY had sandwiches on Day 1 and there's 60% of the group ONLY had sandwiches on Day 2.

We obtain the value 60% = 0.6 from 100%-(10%+30%)=60%

We also can deduce that there 70% of the group that had sandwiches on Day 2

The proportion of people who ate sandwiches on Day 2 GIVEN that they ate sandwiches on Day 1 is given by

P(Day 1 ∩ Day 2)÷P(Day 2) = 0.1÷0.4 = 0.25 = 25%

The statement is TRUE

Which statement is true about the circumference of a circle?

It is about three times the diameter.

It is about three times the radius.

It is about twice the radius.

It is about half the diameter.


Answers

A common formula that is often used is 
C = pi*d

where 
C = circumference
pi = 3.14 approximately
d = diameter

So saying "the circumference is roughly 3 times the diameter" is appropriate because pi = 3.14 is roughly 3 if you round to the nearest whole number.

Answer: Choice A) three times the diameter

if x=2 , y=3 , and z=4 , what Is xyz?

Answers

xyz=x*y*z

2*3*4
6*4
24

Final answer: 24
When you multiply 2 & 3 then 4 the answer is 24

Which of the following expressions represents the value, in dollars, of a certain number of nickels, n, and dimes, d?

Answers

value = v

v = 0.05n + 0.10d

Answer: v = 0.05n + 0.10d

Step-by-step explanation:

By definition, a rational number is a number q that can be written as a fraction in the form q=a/b where a and b are integers and b≠0. So, 1/3 is rational because it is exactly what you get when you divide one integer by another.Sep 22, 2015

Answers

Numbers are classified in many ways. One of which is that some are classified as rational. These numbers are those whose values can be expressed in terms of the ratio of two numbers. These may be those repeating and non-repeating. There are also irrational numbers which are non-repeating and cannot be expressed as the ratio of two numbers. 

make a word problem with the problem of 30 + 2d ex the outcome of 1,000 divided by x

Answers

bob has 30 candies
every day that he visits the store, he gets 2 free candies
if d represents the number of days he goes to the store, how many candies does he have after d days?
30+2d

solve
18x^2 -3x -10

What is the smallest solution

Answers

Slip and slide method
x^2-3x-180
(x-15)(x+12)
(6x-5)(3x+2)
Using ZPP
6x-5=0
6x=5
x=5/6 <=== one of the roots
3x+2=0
3x=-2
x=-2/3 <==== another root
Final answer: -2/3

Martina purchased a prepaid phone card for $15.00. Calls cost 5 cents a minute using this card. The credit, C (in dollars), left on the card after it is used for x minutes of calls is given by the following function.

C (x) = 15.00 -0.05x

How much credit is left on the card after Martina uses it for 20 minutes of calls?

Answers

The function is
C(x) = 15.00 - 0.05x

C is how many dollars are left after
x minutes.

So if she uses it for 20 minutes, input that into the x.

C(20) = 15.00 - 0.05(20)
C(20) = 15.00 - 1
C(20) = 14.00


After 20 minutes, there are $14.00 left on the card.

Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received 5 fewer cookies than she would have received had all of the cookies been evenly divided among the h grandchildren.
How many cookies did Cindy receive?
Write your answer as an expression.

Answers

If the cookies had been divided equally between the h grandchildren then each grandchild would receive 96/h  cookies.
So Cindy  received (96/h) - 5   cookies
Does not say how many grandchildren. Say n, integer. So, all received some cookies, x, except Cindy, who received 5 less than the even number:

even number= 96/n, Cindy gets 96/n-5, the rest receive the rest of the cookies:

96 - (96/n-5) = 96*(1-1/n) + 5 = 96*(n-1)/n + 5.

Then each of them (n-1) receive the previous number divided by (n-1) -Cindy is not there:

each of the other grandchildren receives:

96/n + 5/(n-1), and Cindy receives 96/n-5, it just needs to be positive.

So any number 'n' which divides 96 and 'n-1' divides 5 works.

Indeed ONLY n=6, makes 5/(6-1) possible.

So there are 6 grandchildren:

5 receive 17 cookies, and Cindy gets 11.

If it were evenly distributed, all would have got 96/6 = 16 cookies.

Now 5 get one more cookie, and Cindy 5 less.

WOW. Very nice problem!! Gonna share it :)


how do you solve for the variable ?? help

Answers

Hello there!

2(3x - 4) + 10 = 5(x + 4)
First, let's distribute 2 to 3x and -4, then 5 to x and 4.
2(3x) + 2(-4) + 10
6x - 8 + 10
6x + 2 is our first half of the equation simplified. Now let's do the other.

5(x + 4)
5(x) + 5(4)
5x + 20 is our second half of the equation simplified. Now let's put them back in their original spots.

6x + 2 = 5x + 20
Get x on one side - subtract 5x from both sides.
x  + 2 = 20
Isolate x by adding 8 to both sides.
x = 18 is our answer.

I hope this helps!

et x be a random variable representing movement (in feet per year) of such sand dunes (measured from the crest of the dune). Let us assume that x has a normal distribution with μ = 11 feet per year and σ = 2 feet per year. Under the influence of prevailing wind patterns, what is the probability of each of the following? (Round your answers to four decimal places.) (a) an escape dune will move a total distance of more than 90 feet in 7 years

Answers

Given the following which is the mean and standard deviation of the dune’s movement over one year and need to find out what the ten year mean and the standard deviation will be.

The ten-year mean is ten times the one year mean or 110 feet per decade. The ten-year standard deviation is somewhat more complicated. Multiple independent trials accumulate standard deviation as the square root of the number of trials since an unusually high level of movement ten years in a row. The decade is going to be 2 feet per year x square root of ten will result to 6.32 feet.

The answer will to question A. will be:

 

  90           < 110 + z (6.32 feet)

 -20           < z (6.32 feet)

    z            > - 3.16

By using the z table, it shows the probability of 0.9992. This result shows that as 90 feet is lesser than the mean travel that is expected over decade. 

Final answer:

To find the probability that a sand dune moves more than 90 feet in 7 years, one must calculate a z-score using the mean annual movement, standard deviation, and the 7-year period, then find the corresponding probability in a standard normal distribution table or calculator.

Explanation:

The question involves calculating the probability that a random variable, X, will exceed a certain value over a period using the normal distribution. The random variable X in this context represents the movement of sand dunes per year, which is assumed to be normally distributed with mean (μ) of 11 feet per year and a standard deviation (σ) of 2 feet per year.

To find the probability of the dune moving more than 90 feet in 7 years, we first calculate the mean movement for 7 years, which is 7 × μ = 7 × 11 feet = 77 feet. Next, we calculate how much more than 77 feet does 90 feet represent. This difference is 90 - 77 = 13 feet. Then, we standardize this difference by dividing by the standard deviation over the square root of 7 years to get the z-score:

Z = (90 - 7×11) / (σ × √7) = (90 - 77) / (2 × √7) = 13 / (2 × √7)

The z-score helps us find the probability that X is more than the calculated mean for 7 years. We look up this z-score in the standard normal distribution table or use a calculator to find the probability that corresponds to this z-score. This gives us the probability that a dune will move more than 90 feet in 7 years. The answer should be rounded to four decimal places as per the instruction in the question.

Learn more about Probability Calculation here:

https://brainly.com/question/33594301

#SPJ3

-0.09 as a fraction , but the 09 is repeating

Answers

-0. 09 (repeating) as a fraction would be -1/11
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