A construction crew built 514 miles of road in 412 days. What is the unit rate in miles per day? Write your answer as a fraction or a mixed number in simplest form.

Answers

Answer 1

Answer:

[tex]R=\dfrac{257}{206}\ \text{miles/day}[/tex]

Step-by-step explanation:

Given that,

Distance, d = 514 miles

Time, t = 412 days

We need to find the unit rate in miles per day. Its rate is given calculated by dividing distance and time as follows :

[tex]R=\dfrac{514\ \text{miles}}{412\ \text{days}}\\\\R=\dfrac{257}{206}\ \text{miles/day}[/tex]

So, the unit rate is [tex]\dfrac{257}{206}\ \text{miles/day}[/tex].


Related Questions

please help me asap I need this today

Answers

First fine the slope.
How?
2 random points and plug them in the slope formula.
In this case :
(-3,0)(0,4) —> 4-0/0-(-3) = 4/3 <— slope
The y intercept is the point where x equals 0
In this case :
(0,4) —> 4 is the y-Intercept
Now, plug in for the equation y= mx + b ( m = slope and b = y intercept)
y = 4/3x + 4
Hope I helped:)

Answer:

y = 4/3x + 4

Step-by-step explanation:

CAN SOMEONE FIND THE DECENCY OUT OF THEIR DAY TO ANSWER THIS, THIS IS THE 8TH TIME IM ASKING THIS QUESTION CUZ EVERYONE IGNORES IT, AND IM CRYING ABOUT THIS CUZ ITS DUE IN A HOUR!!!!!! I NEED HELP, I DONT UNDERSTAND THIS!!!!

f(x) = -2/3x + 490
Explain what the graph of the function represents!

Answers

Answer:

the function represents a linear graph with a y-intercept of (0, 490) and a slope of -2/3.

Question 1 of 5 Convert 48 inches to feet. There are 12 inches in a foot. O A. 480 feet O B. 576 feet O C. 4 feet O D. 8 feet​

Answers

Answer:

C

Step-by-step explanation:

If you divide 48 by 12 you will get 4 and 4 is your answer

Where would you put the decimal in this product?



3.21 x 4.8 = 1 5 4 0 8

Answers

Answer:

15.408

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Evaluate
-4-5+4+(-5)

Answers

Answer:

-10

Step-by-step explanation:

-4 - 5 + 4 + (-5)

-9 + 4 - 5

-5 - 5 =

-10

Answer:

-10

Step-by-step explanation:

the answer is -10

combine the negatives to get -14

and positives to get 4

so you have -14+4=-10

Find the value of x that makes A || B.

2 = 3x - 20 and 5 = x + 20
x= [?]

Answers

Answer:

20

Step-by-step explanation:

3x-20=x+20

3x-x=20+20

2x=40

x=20

good luck dude

For the two lines A and B to be parallel to each other, the value of x should be equal to 20.

What are corresponding angles?

In literal sense, corresponding means pair wise angles. Like the right corner angles of two triangles etc.

The definition of corresponding angles states that when two parallel lines cross with a third, the angles that occupy the same relative location at each junction are said to be corresponding angles to each other.

As per the given diagram of the parallel lines and the transverse the measure of the angle 2 and angle 5 should be equal, This is because the two angles are corresponding angles. Therefore, we can write,

∠2 = ∠5

3x - 20 = x + 20

3x - x = 20 + 20

2x = 40

x = 20

Hence, for the two lines A and B to be parallel to each other, the value of x should be equal to 20.

Learn more about Parallel lines:

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I need help pls !!!!

Answers

Answer:

See Below

Step-by-step explanation:

Ok, so in this problem you have some vertical angles. These are angles oppisites from each other. Therefore; d = 52, f = ?, and e = 77. All the angles added together will = 360. Let's add up the angles we know and subtract the whole from 360.

52 + 52 + 77 + 77 = ?

104 + 154 = 258

360 - 258 = 102

Since we know that f and the unlabeled angle are the same, we need to divide this total between the two of them.

102/2 = 51

Therefore;

d = 52

e = 77

f = 51

Pls help I will mark brainlist!!!

Answers

Answer It’s b
Explanation

The cake store is having a 25 percent off sale on all of its cakes. If the cake you want reguarly cost 9$, how much would you save with the discount?

Answers

6.75 is the answer hope it helps

BRAINLIEST ANSWER WILL GET BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Excuse,there is still no Image on it.

Answer:

How do you get Brainlest answer if there is no question. HuH?

3. Lim
x-infinity
x² +6x²+1/
x²+3
[AP]

Answers

Answer:  0

=======================================================

Explanation:

Let n be the degree of the numerator

Let d be the degree of the denominator

If n < d, then the limit at infinity is always 0. This is because the denominator is growing faster compared to the numerator. I suggest looking at a table of values to see this in action.

In this case, n = 3 and d = 4, so we see that n < d is the case here. So that's why the answer is 0.

----------------------

Side notes:

If n = d, then the limit at infinity is equal to a/b, where a and b are the leading terms of the numerator and denominator. If n > d, then the numerator is growing faster than the denominator, meaning the ultimate result is infinity.

Name
My Homework
Independent Practice
Help
Go online for Step-by-Step Solutions
Find the greatest common factor of each set of numbers. (Sample 2)
1. 8,14
2. 21, 24, 27
3. 21, 35, 49
4. 12, 18, 26
Find the least common multiple of each set of numbers. (Examples 3 and 4)
5. 5 and 6
6. 6 and 9

Answers

Answer:

1. 2

2. 3

3. 7

4. 2

5. 30

6. 18

Step-by-step explanation:

write 28 + 24 as a product of two factors using the GCF and the distributive property

Answers

Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

u take the 4 out

4 (7 + 6)

4 x 13

The product of two factors using the GCF and the distributive property is 4(13).

What is the meaning of the greatest common divisor/factor?

The largest integer of highest degree that is an exact divisor of each of two or more integers.

The greatest common divisor of 24 and 28

24=2×2×2×3

28=2×2×7

We can see that the 2 and 2 is common in 24 and 28

The GCD of 28 and 24 is=2×2= 4

For the distributive property we have

28 = 4 x 7

24 = 4 x 6

we take the 4 out

4 (7 + 6)

=4 x 13

Therefore the GCD is 4 and by distributive property product is 4(13).

To learn more about the product visit:

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Mr. Richard plans to take 25 students on a school trip. They plan to go to Zoo. The bus fee is $100 for the entire trip. Entrance fee is $2.50 per person. How much should each student pay? Note: Mr. Richard does not need to pay.

Answers

Answer:

$162.50

Step-by-step explanation:

+$100

25x2.50= $62.50

+$62.50

100+62.50=162.50

Answer:

Each student should pay $6.50

Step-by-step explanation:

The question is not very clear.

If Mr. Richard has to pay to enter:

Total cost = $100 + ($2.50×26) = $165

Cost per student = [tex]\frac{165}{25}[/tex] = $6.60

Each student should pay $6.60

If Mr. Richard doesn't have to pay to enter:

Total cost = $100 + ($2.50×25) = $162.5

Cost per student = [tex]\frac{162.5}{25}[/tex] = $6.50

Each student should pay $6.50

PLEASE HELP ASAP

Label the parts of the animal and plant cell in this diagram.

Answers

Answer:

no se

Step-by-step explanation:

no se

If mr gardener had 185 chocolate kisses and he wants to divide them between his 6 students how many will each student get

Answers

Each will get thirty kisses, and there'll be five left over, unless he has favorite students.

-3(5x - 7) = -4x + 3(3x + 7)

Answers

Answer:

x = 0

Step-by-step explanation:

Given

- 3(5x - 7) = - 4x + 3(3x + 7) ← distribute parenthesis on both sides

- 15x + 21 = - 4x + 9x + 21 , that is

- 15x + 21 = 5x + 21 ( subtract 5x from both sides )

- 20x + 21 = 21 ( subtract 21 from both sides )

- 20x = 0 , thus

x = 0

CAN SOMEONE PLEASE HELP ME PLEASE

Answers

Answer:

[tex]12\frac{8}{9}[/tex]  or [tex]\frac{116}{9}[/tex]

Step-by-step explanation:

3x-14+2(3x-6)+90=180

3x-14+6x-12=90

9x-26=90

9x=116

x=116/9 or 12 8/9

What is the image of (-3,9) after a reflection over the y = x?

Answers

Answer:

(9,-3)

Step-by-step explanation:

A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?

Answers

Answer:

20 km/h

Step-by-step explanation:

the total time is 0.5 hours as the cyclist travels for 30 minutes

the formula for speed is distance travelled divided by time taken which gives us 20 km/hr

Solve for z.
12 = 15(z-1/5

Answers

Answer:

z=  1

Step-by-step explanation:

Rewrite the equation as  

15(z−1/5)z12

Apply the distributive property

15z+15(−1/5)=  12

Cancel the common factor of  5

15z+3*−1=  12

Multiply  3  by  −1

15z−3=  12

Divide each term by  15  and simplify

5z−1  =  4

Since the expression on each side of the equation has the same denominator, the numerators must be equal

5z−1=  4

Move all terms not containing  z  to the right side of the equation

5z=  5

Divide each term by  5  and simplify

z  =  1

Anne is choosing a contractor. She has narrowed down her selection to two companies and will base her decision on the likelihood that the job is done on time and on budget. Which contractor should Anne choose to maximize the probability that the job will be done on time and on budget?

Answers

Answer:

I think it should be contractor B

Answer: a

Step-by-step explanation:

if a square has an area of 324 ft what is the length of each side

Answers

Answer:

162

Step-by-step explanation:

324/2 because a square has sides that are all equal, so the area is 2 times the length of a side

Answer:

18 ft.

Step-by-step explanation:

area = L²    where area = 324 ft²

324 = L²

L = √324

L = 18 ft.

What is the difference between these two expressions?
(14 + 9) 4
(14 + 9) 2
(14 + 9) 4 is four times as much as (14 + 9) 2
(14 + 9) 4 is three times as much as (14 + 9) 2
(14 + 9) 4 is half as much as (14 + 9) 2
(14 + 9) 4 is twice as much as (14 + 9) 2

Answers

Answer:

The answer is:

Option 4; (14+ 9) 4 is twice as much as(14 + 9) 2

Thanks

Answer:

Step-by-step explanation:

i

PLEASE HELP MY MOM IS GOING TO HIT ME IF I DONT GET THIS RIGHT AND I HAVE 10 MINUTES TO FINISH MY TEST

solve the equation for y: 1/4y - 2x = 5

Answers

Answer:

x = (5-(1/4*y))/(-2) why does there have to be 20 characters lol

Answer:

y= 8x+20

Step-by-step explanation:

1/4y= 2x+5

y= 4(2x+5)

y= 8x+20

Find the volume of a sphere with the radius of 10 m.  use 3.14 for pie. Round to the nearest 10th. 

Answers

Answer:

Step-by-step explanation:

Givens

r = 10 m

pi = 3.14

Formula

V = 4/3 * 3.14 * r^3

Solution

V = 4/3  * 3.14 * 10^3

V = 4/3 * 3.14 * 3140

V = 4186.67 m^3

The value of y varies directly with x. If x = 3, then y = 13. Show your work for finding the value of x when y = 39

Answers

Answer:

x = 9 when y = 39

Step-by-step explanation:

To solve this, we will use a proportion, since x varies directly with y, each will increase proportionately to the other.

3 / 13 = x / 39

Step 1: Cross Multiply

13x = 117

Step 2: Divide both sides by 13

13x / 13 = 117 / 13

x = 9

Step 3: Check

3 / 13 = 9 / 39

117 = 117 ✅

x = 9 when y = 39

-3 (4b - 10) = 114
What does b equal?

Answers

Answer:

b = -9.5

Step-by-step explanation:

-3 (4b - 10) = 144

-12b + 30 = 144

       -30      -30

-12b = 114

/-12      /-12

b = -9.5

Hope this helps!

Divide both sides by the numeric factor on the left side, then solve.
b = -7

Misha found that the equation –|2x – 10| – 1 = 2 had two possible solutions: x = 3.5 and x = –6.5. Which explains whether or not her solutions are correct?

She is correct, because both solutions satisfy the equation.
She is not correct, because she made a sign error.
She is not correct, because there are no solutions.
She is not correct, because there is only one solution: x = 3.5.

Answers

She is not correct, because there are no solutions.

Explanation: If you isolate the absolute value by adding 1 both sides of the equation, you get -|2x-10|=3. There are no solutions, because the left side of the equation will always be negative and will never equal 3.

She is not correct, because there are no solutions. (Option C).

What is an equation?

An equation refers to any mathematical statement that contains the equality sign. Now we can see in the equation that there is a negative sign before the absolute value.

Now we have;

–|2x – 10| – 1 = 2

–|2x – 10| = 3

This is not possible because the absolute value does not return a negative value and the expression can never equal 3.

Thus, she is not correct, because there are no solutions.

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Please help me fast I will give point show how u got it please

Answers

Answer:

Perpendicular is opposite and reciprocal

So it's y = 1/3

C

Step-by-step explanation:

C is the correct answer for this
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