Calculate the unit rate for each. Don’t forget the units!

a) Andre DeGrasse runs 100m in 9.91 seconds.

b) Paint costs $48 for 3.8L.

c) Ethan earned $120.25 for working a 6.5h shift.

Answers

Answer 1

Answer:

letter c. po sagot diyan po

Answer 2

Answer:

a) Andre DeGrasse runs 100m in 9.91 seconds.

100 m / 9.91 s = 10.09 m per second

b) Paint costs $48 for 3.8L.

$48 / 3.8 L = $12.63 per L

c) Ethan earned $120.25 for working a 6.5h shift.

$120.25 / 6,5 h = $18.5 per hour

Related Questions

SOMEONE HELP PLZ 20 POINTS

JUST NEED HELP IN THE LAST 4

Answers

Answer:

the last one is

four cubed plus 8 to the 4th power

4^3 + 8^4

4160

Step-by-step explanation:

A batting machine uses an automatic baseball feeder. During baseball
practice the feeder is a full. An attendant fills it with 15 baseballs so
that the feeder is now full. How many baseballs does the feeder
hold when full?
A. Write an equation to represent the problem.

Answers

The feeders in battling machine are represented in proportions and fractions.

The equation that represents the problem is: [tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]The feeder can hold 30 baseballs, when full

The given parameters are:

[tex]\mathbf{Initial = \frac 16x}[/tex] ------ 1/6 full

[tex]\mathbf{Additional = 15}[/tex] --- baseballs added

[tex]\mathbf{Final = \frac 23x}[/tex] ---- 2/3 full

So, the equation that represents the problem is:

[tex]\mathbf{Initial + Additional = Final}[/tex]

So, we have:

[tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]

The number of baseballs it can hold is calculated as follows:

[tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]

Multiply through by 6

[tex]\mathbf{x + 90 = 4x}[/tex]

Collect like terms

[tex]\mathbf{4x - x = 90 }[/tex]

[tex]\mathbf{3x = 90 }[/tex]

Divide through by 3

[tex]\mathbf{x = 30 }[/tex]

Hence, the feeder can hold 30 baseballs, when full

Read more about proportions and fractions at:

https://brainly.com/question/20337104

The sum of two consecutive odd numbers Is 364. Find the larger number.

Answers

Answer:

183

Step-by-step explanation:

If they are two consecutive odd numbers, than these two numbers will be close to half of the sum (364).

364/2=182

Now Find the two odd numbers in between 182, which are 181 and 183.

I had this type of question a few times recently, and this method worked every time :).

Bonus information:

For two consecutive odd/even numbers, find the half of the sum.

For three consecutive odd/even numbers, start off by finding the third of the sum. And so on...

Hope this helped! :D

Please answer the following question:

Answers

Answer:

l

Step-by-step explanation:

Yadmine scored 104 points for attempting all 40m questions. If she was awarded 5 points for every correct answer and had 3 points deducted for every incorrect answer, how many questions did Yasmin answer incorrectly?

Answers

Using a system of linear equation to represent the problem given, there are 12 incorrect answers given

Points per correct score = 5 Points deducted per incorrect score = 3 Number kd questions answered = 40

Let :

Number of correct answers = c

We could create an equation thus:

5(c) - 3(40 - c) = 104

Expand

5c - 120 + 3c = 104

8c = 104 + 120

8c = 224

c = (224 ÷ 8)

c = 28

Number of incorrect answers = 40 - 28 = 12

Therefore, there are 12 incorrect answers

Learn more : https://brainly.com/question/18112348

If 2.5 kg of potatoes cost $8.25 how much will u pay for 7 kg

Answers

Answer:

$23.10

Step-by-step explanation:

To get how much money you will have to pay for  7kg, you need to find out how much you have to pay for 1 kg. You will divided y divided by x = y.

8.25 (y) divided by 2.5 (x) = $3.30

You will pay $3.30 for 1 kg

So $3.30 x 7 = 23.10

You will pay $23.10 for 7 kg of potatoes.

** I hope this helps

Mark deposit $ 200 into an account that pays an interest rate 3.5% compounded annually. He doesn't add or remove from his account for 4 years how much money will markbhave in 4 years

Answers

Answer:

30,012.5

Step-by-step explanation:

We power the number by itself for the past years so in this it will be 3.5  powered by itself four times equaling 150.0625 multiplied by the first deposit which is 200 so 200*150.0625= 30,012.5

Hope this helps

Which expressions are equivalent to?

Answers

Answer:

-6(b+2) +8

= -6b -12 +8

= -6b -4

Step-by-step explanation:

Complete the multiplication problem to find the answer​

Answers

Answer:

B

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The water level in a lake was monitored and was noted to have changed −1 1/5 inches in one year. The next year it was noted to have changed −1 3/10 inches.
What was the total change in the water level over the two years?

Enter your answer as a simplified mixed number by filling in the boxes.

$$
in.

Answers

Answer:

-2 1/2

Step-by-step explanation:

Answer:- 3 1/2Step-by-step explanation:-1 1/5 + -1 3/10 = -3 1/2I had gone with the other person's answer but according to K12, it was wrong. This is the correct answer with proof:~Hope this Helps~

Which table can be represented by a line?
A)
А
B)
B
C С
D
D

Answers

Step-by-step explanation:

if you really want to get answer you should follow me

Which graph best represents the solution to the system of equations shown below? y = -4x + 19 y = 2x + 1 A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 7, 3. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 3, 7. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 7, negative 3.

Answers

Answer:

Option 3 is the correct answer.

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.

Step-by-step explanation:

y = -4x - 19 y = 2x − 1

-4x - 19 = 2x - 1

6x = -18

x = -3

y = 2(-3) - 1 = -7

PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST

Answers

first one is denominator, then opposite of denominator.. i would wait for someone else to answer. but i’m pretty sure that’s correct. sorry if it is incorrect.. good luck on the rest of your assessment!!

Graph the ordered pair solutions of y = |x+2| when x = -5, -3, 0, 3, and 5

Answers

(-5,3), (-3,1), (0,2), (3,5), and (5,7)

Graphed:

The spread of a virus is modeled by V (t) = −t 3 + t 2 + 12t,
where V (t) is the number of people (in hundreds) with the virus and t is the number of weeks since the first case was observed.
(a) Sketch V (t).
(b) What is a reasonable domain of t for this problem?
(c) Find the average rate of infection from t = 0 to t = 2.
(d) Find the instantaneous rate of infection as a function of t using the limit definition of the derivative.
(e) Find V (2) and V ‘ (2). Write a sentence interpreting V (2) and V ‘ (2) in terms of the number of infected people. Make sure to include units.
(f) Sketch the tangent line to the graph you drew in a. at the point (2, V (2)). State the slope of the tangent line.
(g) Use V (2) and V ‘ (2) to estimate the value of V (2.1).
(h) Find the maximum number of people infected at the same time and when the maximum occurs. Determine the rate of infection at this time.

Answers

Functions can be used to model real life scenarios

The reasonable domain is [tex]\mathbf{[0,\infty)}[/tex].The average rate of change from t = 0 to 2 is 20 persons per weekThe instantaneous rate of change is [tex]\mathbf{V'(t) = -3t^2 + 2t + 12}[/tex].The slope of the tangent line at point (2,V(20) is 10 The rate of infection at the maximum point is 8.79 people per week

The function is given as:

[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

(a) Sketch V(t)

See attachment for the graph of [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

(b) The reasonable domain

t represents the number of weeks.

This means that: t cannot be negative.

So, the reasonable domain is: [tex]\mathbf{[0,\infty)}[/tex]

(c) Average rate of change from t = 0 to 2

This is calculated as:

[tex]\mathbf{m = \frac{V(a) - V(b)}{a - b}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{V(2) - V(0)}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{V(2) - V(0)}{2}}[/tex]

Calculate V(2) and V(0)

[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]

[tex]\mathbf{V(0) = (0)^3 + (0)^2 + 12 \times 0 = 0}[/tex]

So, we have:

[tex]\mathbf{m = \frac{20 - 0}{2}}[/tex]

[tex]\mathbf{m = \frac{20}{2}}[/tex]

[tex]\mathbf{m = 10}[/tex]

Hence, the average rate of change from t = 0 to 2 is 20

(d) The instantaneous rate of change using limits

[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

The instantaneous rate of change is calculated as:

[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex]

So, we have:

[tex]\mathbf{V(t + h) = (-(t + h))^3 + (t + h)^2 + 12(t + h)}[/tex]

[tex]\mathbf{V(t + h) = (-t - h)^3 + (t + h)^2 + 12(t + h)}[/tex]

Expand

[tex]\mathbf{V(t + h) = (-t)^3 +3(-t)^2(-h) +3(-t)(-h)^2 + (-h)^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex][tex]\mathbf{V(t + h) = -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex]

Subtract V(t) from both sides

[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h - V(t)}[/tex]

Substitute [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h +t^3 - t^2 - 12t}[/tex]

Cancel out common terms

[tex]\mathbf{V(t + h) - V(t)= -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}[/tex]

[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex] becomes

[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{ -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}{h}}[/tex]

[tex]\mathbf{V'(t) = \lim_{h \to \infty} -3t^2 -3th - h^2 + 2t+ h + 12}[/tex]

Limit h to 0

[tex]\mathbf{V'(t) = -3t^2 -3t\times 0 - 0^2 + 2t+ 0 + 12}[/tex]

[tex]\mathbf{V'(t) = -3t^2 + 2t + 12}[/tex]

(e) V(2) and V'(2)

Substitute 2 for t in V(t) and V'(t)

So, we have:

[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]

[tex]\mathbf{V'(2) = -3 \times 2^2 + 2 \times 2 + 12 = 4}[/tex]

Interpretation

V(2) means that, 20 people were infected after 2 weeks of the virus spread

V'(2) means that, the rate of infection of the virus after 2 weeks is 4 people per week

(f) Sketch the tangent line at (2,V(2))

See attachment for the tangent line

The slope of this line is:

[tex]\mathbf{m = \frac{V(2)}{2}}[/tex]

[tex]\mathbf{m = \frac{20}{2}}[/tex]

[tex]\mathbf{m = 10}[/tex]

The slope of the tangent line is 10

(g) Estimate V(2.1)

The value of 2.1 is

[tex]\mathbf{V(2.1) = (-2.1)^3 + (2.1)^2 + 12 \times 2.1}[/tex]

[tex]\mathbf{V(2.1) = 20.35}[/tex]

(h) The maximum number of people infected at the same time

Using the graph, the maximum point on the graph is:

[tex]\mathbf{(t,V(t) = (2.361,20.745)}[/tex]

This means that:

The maximum number of people infected at the same time is approximately 21.

The rate of infection at this point is:

[tex]\mathbf{m = \frac{V(t)}{t}}[/tex]

[tex]\mathbf{m = \frac{20.745}{2.361}}[/tex]

[tex]\mathbf{m = 8.79}[/tex]

The rate of infection is 8.79 people per week

Read more about graphs and functions at:

https://brainly.com/question/18806107

Is seven radical 2 rational?

Answers

If seven radical 2 means [tex]7\sqrt{2}[/tex], then the number is irrational.

It means that it goes on and on after the decimal place.

√2 is a surd, so it's irrational.

Thomas Clemens lives in a town that charges a 0.5% city income tax rate. How much city income tax did he owe last year if he had federal taxable income of $45,883?

Answers

Answer:

$2294.15

Step-by-step explanation:

45883 x .05 = 2294.15

Solve: 1 × -23 = Question 9 options: -1 1 23 -23

Answers

Answer:

-23

Step-by-step explanation:

1 × -23

1. When multiply a positive number by a negative number, the answer will always be negative.

2. When we multiply any number by 1, that number will stay the same.

[tex]1 * -23[/tex] [tex]-23[/tex]

Therefore, the answer is -23!

Determine the midpoint of segment CD​

Answers

Answer:

9

Step-by-step expation:

Doug entered a canoe race. He rowed 3 1/2 miles in 1/2 hour what is his average speed in miles per hour

Answers

Answer: 7 miles per hour

Step-by-step explanation:

3 1/2 miles = 7/2 miles

1/2 hours= 30 minutes

So,

In 30 mins, travelled 7/2 miles

In 1 min, travelled 7/2 ÷ 30= 7/2× 1/30 = (7×1)/(2×30) = 7/60 miles

In 60 mins, travelled (7×60)/60 miles = 420/60 miles = 7 miles.

Hence, the speed is 7 miles per hour.

Help me please!!!!!✨✨✨✨✨✨✨✨✨✨

Answers

What are the symbol options I’ll leave answer in comments?

PLEASE HELP ME ITS ALGEBRA THANK YOUUUU

Answers

Answer:

All you have to do is divide 896 ÷ 32 which is 28 and multiply is by 3 since its 3 more nights and the answer is 84 centimeters.

896/32=28
28*3=84
Hope this is correct!

If p<0,q>0 and q=r what statement about is r true

Answers

Answer:

hell no

Step-by-step explanation:

bbbb

A gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least twice the area used for flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all values of x and y that satisfy these requirements.

Answers

Hshahgsuzhshgdshhshsjushsgsgsjhdgdhdhhhgghvfdf

Find the missing length indicated

Answers

Step-by-step explanation:

10)

again, drawing the height into a right triangle creates 3 right triangles : the original one, and the 2 on both sides of the height.

all these 3 triangles are similar to each other (the angles must be the same).

therefore the ratio of 2 sides in one triangle must be the same as the ratio of the corresponding 2 sides in the other triangles.

so,

x/36 = 64/x

x² = 64×36

x = sqrt(64×36) = 8×6 = 48

11)

same principle.

x/36 = 100/x

x² = 100×36

x = sqrt(100×36) = 10×6 = 60

12)

same as 11)

x/9 = (16+9)/x = 25/x

x² = 25×9

x = sqrt(25×9) = 5×3 = 15

Find all exact solutions on the interval [0,2π) csc^2(x)-9= -5

Answers

Answer:

d

Step-by-step explanation:

a student sketched some art on an 8 inch x 10 inch piece if paper he wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included?

Answers

The picture is originally 11 inches wide by 8.5
inches tall. It gets scaled down to a new width of 7 inches. We need to find the new height. To do this, we write a proportion:

8.5/11=x/7

Cross multiply:
11x = 59.5

Divide:
X = 5.41

The size of the picture is 5.41" x7", but the size of the frame is 5" x7". The part of the picture's area that is included in the frame is:
(5 × 7) / (5.41 × 7)
= 5/ 5.41
= 0.924

92.4% of the picture is inside the frame.

Express the number in terms of i

Answers

3i

Step-by-Step-Explanation

Hope this helps

Answer:

[tex]\sqrt[]{9} i[/tex]

Step-by-step explanation:

[tex]\sqrt[]{ab}=\sqrt[]{a} *\sqrt[]{b} \\Therefore, \sqrt[]{-9} =\sqrt[]{9}*\sqrt[]{-1} \\\\\sqrt[]{-1}=i\\\\So, \sqrt[]{-9}= \sqrt[]{9}i[/tex]

Walmart sells a 40-ounce jar of peanut butter for $5.58
What is the Unit Price?

Answers

The unit price is 0.20¢ per ounce.
To find the unit price, you divide the total price by the number of items, and in this case, you divide the total price by ounces

due at 5:30 help asap!! look at the photo

Are the linear expressions equivalent? Drag the choices to the boxes to correctly complete the table

Answers

top one is equivalent
bottom one is not equivalent

Answer:

First one is equivalent second one is not equivalent

Step-by-step explanation:

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