A local road has a grade of 2%. The grade of a road is its slope expressed as a percent. Find the slope of the road as a fraction and then simplify.

Answers

Answer 1

Answer:

[tex]\frac{1}{50}[/tex]

Step-by-step explanation:

2% = [tex]\frac{2}{100}[/tex] = [tex]\frac{1}{50}[/tex]

Answer 2

The slope of the road expressed as fraction is 2/100. When we simplify 2/100, the result obtained is 1/50

How to determine the slope in fraction

From the question given above, we were told that the grade of the road is 2% which is equal to the slope. Thus, we can express 2% as fraction as illustrated below:

2% = 2/100

How to simplify 2/100

2/100 can be simplified to it's lowest term as shown below:

2/100

Divide the numerator and denominator by 2

1/50

Thus,

2/100 = 1/50

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Related Questions

Rasheed wants to buy two new video games that cost $28.50 each. He earns money for them by mowing lawns in his neighborhood, and his earnings are shown in the table below. Rasheed’s Earnings Week Amount Earned 1 $7.50 2 $4.85 3 $12.25 4 $9.00 5 $8.15 How much more does Rasheed need to earn before he can buy the video games? $3.85 $13.25 $15.25 $17.00

Answers

Answer:c

Step-by-step explanation:

I just toke the quiz

Answer:

c

Step-by-step explanation:

can someone explain step by step how to do this please. I'm lost :(

(ab)^-6 (b^2 c)^-8 / a^-8 bc^-3

Answers

Answer:

a^2/b^23c^5

Step-by-step explanation:

(ab)^-6 (b^2 c)^-8 / a^-8 b c^-3 =a^-6 b^-6 b^-16 c^-8 a^8 b^-1 c^3 =a^(-6 + 8) b^(-6 - 16 - 1) c^(-8 + 3) =a^2 b^-23 c^-5 =a^2/b^23 c^5

If start fraction 1 over 3 end fraction is equivalent to 33start fraction 1 over 3 end fraction%, what percent is equivalent to two-thirds? A. 33two-thirds% B. 150% C. 66two-thirds% D. 65%

Answers

Answer:

The answer is C 66%

Step-by-step explanation:

Question 10 of 20 :
Select the best answer for the question.
10. If five times a number plus two is 17, what is the number?
A. 2
B. 5
ООО
C.3
D. 7
Mark for review (Will be highlighted on the review page)
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Answers

Answer:

C. 3

Step-by-step explanation:

3 x 5 = 15, 15 + 2 = 17 :)

GR has coordinates g (2, -2) and R (3,8) and it is the result of the
dilation of HM centered at the origin. The coordinates of HM (-1,1) and M (-1.5,-4). Complete the following algebraic description that it represents the transformation of HM. Please help

Answers

Answer:

(- 2x , - 2y)

Step-by-step explanation:

A(x, y) ----> A' (kx, ky)

~~~~~~~~

H(- 1 ,1) ----> [k(- 1), k(1)] ----> G(2, - 2) ⇒ k = - 2

M( - 1.5, - 4) -----> [(- 2)(- 1.5) , (- 2)(- 4)] ------> R(3. 8)

k = - 2

Thus, the rule of dilation centered in origin is (- 2x , - 2y)

Which equation represents Which equation represents the vertical line passing through (1,-9)?
A.
x = -9
B.
x= 1
C.
y=-9
D. y=1

Answers

The answer is B. x=1

Equation x = 1 represents the vertical line passing through (1 ,-9).

What is equation of line ?

" Equation of a line is defined as an algebraic expression which is represented by linear equation in two variables with highest degree 1. Minimum two coordinates required to draw a line."

According to the question,

Coordinates in the plane represented by (x, y)

We have

Line passing through the point  = (1 ,-9)

x = 1 for different values of y represents a line perpendicular to x-axis.

Therefore,

Vertical line passing through (1, -9) is equals x = 1.

Hence, Option(B) is the correct answer.

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Given: ΔABC
m∠1=m∠2
D∈ AC , BD = DC
m∠BDC=100°
Find: m∠A, m∠B, m∠C

Answers

Answer:

m∠A = 60°, m∠B = 80°, m∠C = 40°

Step-by-step explanation:

Since BD = DC, the triangle BDC is isosceles, so

m∠C = m∠2

Having m∠BDC = 100°, we can find m∠C

m∠C = 1/2(180° - 100°) = 1/2(80°) = 40°

Finding angle B

m∠B = m∠1 + m∠2 = 2*m∠2= 2*40° = 80°

Finding angle A

m∠BDA = 180° - m∠BDC = 180° - 100° = 80°m∠A = 180° - (m∠1 + m∠BDA) = 180° - (40° + 80°) = 180° - 120° = 60°

Answer:

m<A=60 degrees, m<B=80 degrees, m<C=60 degrees.

Step-by-step explanation:

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Point A is located on the coordinate planet (3,-6) Point B is directly across the x-axis from point A and is the same distance from the x-axis as point A
What are the coordinates of point B?

Answers

Answer:

(3,6)

Step-by-step explanation: it is a reflection across the x-axis which is positive (3,6)

A sofa regularly sells for $710. The sale price is $553.80. Find the percent decrease of the sale price from the regular price.

Answers

Given:

A sofa regularly sells for $710.

The sale price is $553.80.

To find:

The percent decrease of the sale price from the regular price.

Solution:

We have,

[tex]Decrease\%=\dfrac{\text{Regular price - Sale price}}{\text{Regular price}}\times 100[/tex]

[tex]Decrease\%=\dfrac{710-553.80}{710}\times 100[/tex]

[tex]Decrease\%=\dfrac{156.2}{710}\times 100[/tex]

[tex]Decrease\%=0.22 \times 100[/tex]

[tex]Decrease\%=22\%[/tex]

Therefore, the percent decrease of the sale price from the regular price is 22%.

In one 24-hour day there are 86,400 seconds. What is this number written in scientific notation?

Answers

The answer would be

8.64 x 10^4

how do you find the area of the circle if the height is 1.5

Answers

Answer:

7.065

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given Height of the circle = 1.5

Height of the circle =radius of the circle

So area of the circle=πr^2

=3.14×1.5×1.5

=7.065

a recent survey showed that ⅖ of students have hearing problems. In a school of 450 students, how many would you expect to have hearing problems? ​

Answers

Step-by-step explanation:

250 i think sorry if im wrong solution it said 2/5 of students have hearing problems. so since there is 450 students and it said 2/5 that means 2/5 will be 250 hope if i could help.

180
Explanation: google told me :)

One pound of candies costs $3.50.

How much will we have to pay for 4.5 lb?

Answers

Answer:

$15.75

Step-by-step explanation:

Multiply the cost of one pound, 3.50 times how many we want, 4.5

3.5×4.5=15.75

Answer: $15.75

Step-by-step explanation:

3.5 x 4.5 = 15.75

Solve the quadratic equation and give both solutions.

14x^2 − 29x − 15 = 0

Answers

Answer:

Step-by-step explanation:

[tex]x_{1,\:2}=\frac{-\left(-29\right)\pm \sqrt{\left(-29\right)^2-4\cdot \:14\left(-15\right)}}{2\cdot \:14}[/tex]     so    [tex]x=\frac{5}{2}[/tex]     [tex]x=-\frac{3}{7}[/tex]

What is the measure of PRQ?

Answers

Answer:

the answer is 172

Step-by-step explanation:

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[tex]PRQ = \frac{PQ +TS}{2} \\ [/tex]

[tex]PRQ = \frac{102 + 70}{2} \\ [/tex]

[tex]PRQ = \frac{172}{2} \\ [/tex]

[tex]PRQ = 86°[/tex]

Thus the correct answer is (( A )) .

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A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are normally distributed with a standard deviation of $30,000, determine the 90% confidence interval estimate of the mean annual income of all company presidents. Interpret the statistical results.

Answers

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

[tex]n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%[/tex]

The critical value of z for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)[/tex]

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

Use the critical points to determine the test regions. Which are possible test points

Answers

Answer: -6, -3, 0

Step-by-step explanation:

Because it’s right :)

Answer:

A, C, E

Step-by-step explanation:

-6, -3, 0

There are 207 students in 9 classes at east middle school at this rate how many students are in 6 classes

Answers

Answer:

138 students

Step-by-step explanation:

207/9 = 23

23*6=138

Answer:

138 students

Step-by-step explanation:

2/3 as a decimal and also percent

Answers

Answer:

0.6 as a decimal and 60 percent

Enter the decimal equivalent of 9/12

Answers

0.75 is the decimal equivalent of 9/12

Answer:

Hey! so its simple to find the decimal you need to divide so 12/9 is 1.33

Step-by-step explanation:

Hoped I helped please put me on brainliest oh and have a great day! ^-^

dwayne needs 1 1/4 cups of crushed oreos to put in his chocolate pudding and 2/3 cup of oreo crumbs for decoration on the top if he has 3 cups of crushed oreo in all how much will he have left

Answers

Answer:

1 1/4 cup left

Step-by-step explanation:

.75 of a third is a fourth, so that would mean that 2/3 is .50, 75% of 2/3, is 0.50, 1/4 is 0.25, so that would mean .75, which is 3/4 cups, so that would mean he needs 1 3/4 cups, so he has 1 1/4 cup left

Q(9,10) R(-5,2) S(-8,-2) T(-1,2)

Answers

Need more than just this

Answer:

its perpendicular

Step-by-step explanation:

Henry loves to read. He reads 90 pages in one hour. How many pages does he read in 5 hours​

Answers

Answer:

450

Step-by-step explanation: 90x 5 = 450  hoped i helped

Complete the point-slope equation of the line through (-5,7)(−5,7)left parenthesis, minus, 5, comma, 7, right parenthesis and (-4,0)(−4,0)left parenthesis, minus, 4, comma, 0, right parenthesis.

Answers

Answer:

The equation of line in point-slope form is: [tex]y-7 = -7(x+5)[/tex]

Step-by-step explanation:

Given points are:

(x1,y1) = (-5,7)

(x2,y2) = (-4,0)

Point slope form of equation is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

Here m is the slope

The slope is calculated using the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values we get

[tex]m = \frac{0-7}{-4+5}\\m = \frac{-7}{1}\\m = -7[/tex]

Putting in the equation we get

[tex]y-y_1 = -7(x-x_1)[/tex]

Putting (-5,7) in the equation

[tex]y - 7 = -7\{x-(-5)\}\\y-7 = -7(x+5)[/tex]

Hence,

The equation of line in point-slope form is: [tex]y-7 = -7(x+5)[/tex]

Answer:

Step-by-step explanation:

CLOTHING A online retailer is running a special on jeans. All pairs of jeans are $39. The function f(x) = 39x models the total cost of buying x pairs of jeans. The retailer also charges $6 flat rate shipping fee. a. Write a function g(x) that represents the cost of purchasing jeans and having them shipped. b. Find the cost of purchasing 3 pairs of jeans before and after shipping

Answers

Answer:

a. g(x) = 39x + 6

b. The price before shipping is $117 and the price after shipping is $123

Step-by-step explanation:

To represent the cost of purchasing jeans and shipping them, add 6 to the function, since it is a flat rate.

So, the function will be g(x) = 39x + 6.

Then, use this function to find the cost of 3 pairs of jeans after shipping:

g(x) = 39x + 6

g(3) = 39(3) + 6

g(3) = 117 + 6

= $123

Then, use the original function, f(x) = 39x, to find the price before shipping:

f(x) = 39x

f(3) = 39(3)

= $117

So, the price before shipping is $117 and the price after shipping is $123

What is the area of the rectangle?
60 units2
66 units2
70 units2
74 units2

Answers

it’s 66 units to 2 because you have to line up the numbers with the dot on the grid

solve...

16= k/11
help

Answers

Answer:

k = 176

Step-by-step explanation:

16 = [tex]\frac{k}{11}[/tex]

11 × 16 = [tex]\frac{k}{11} *11[/tex]

176 = k

Answer:

k = 176

Step-by-step explanation:

16 = k/11

16x11  = k/11 x 11

176 = k

Sonya just turned 21 years old and will soon begin her junior year of college in
the fall. Money that she is saving for which of these purposes is not good to
put in a savings bond?
A. A down payment on a house in 10 years
B. This month's electric bill
C. Her retirement
D. College tuition for her future children
SUBMIT

Answers

Answer:

this months electric bill

Step-by-step explanation:

PLS HELPPPPPPP CHECK THE PICTURE ABOVE PLS :((

Answers

Answer:

(6+7)

2^4

2^2

Step-by-step explanation:

Think of the order of operations or PEMDAS: Parentheses, exponents and roots, multiplication, addition, and subtraction. When solving an equation you use the order of PEMDAS.

Meg laid 15 tiles in 50 minutes.

Jessica worked for 85 minutes at a faster rate per tile than Meg.

Choose all the rates that could be Jessica’s rate.


A: 20 tiles in 85 minutes



B: 24 tiles in 85 minutes



C: 28 tiles in 85 minutes



D: 1 tile in 3 minutes



E: 1 tile in 4 minutes

Answers

Answer:

I think C and E

Step-by-step explanation:

meg played at lace of 3.3333 tiles a minute so has to be over 25 tiles

The correct options are C and D.

Important information:

Meg laid 15 tiles in 50 minutes.Jessica worked for 85 minutes at a faster rate per tile than Meg.Rates:

The rate per tile of Meg is:

[tex]\text{Rate}=\dfrac{\text{Time}}{\text{No. of tiles}}[/tex]

[tex]\text{Rate}=\dfrac{50}{15}[/tex]

[tex]\text{Rate}=3.333...[/tex]

Calculate the rates per tile for each option.

[tex]\frac{85}{20}=4.25[/tex]

[tex]\frac{85}{24}=3.54167...[/tex]

[tex]\frac{85}{28}=3.0357...[/tex]

[tex]\frac{3}{1}=3[/tex]

[tex]\frac{4}{1}=4[/tex]

From the above calculation is clear that the time spent per tile is less than Meg's rate in options C and D.

Therefore, the correct options are C and D.

Find out more about 'Rates' here:

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