Answer:
[tex]\frac{1}{50}[/tex]
Step-by-step explanation:
2% = [tex]\frac{2}{100}[/tex] = [tex]\frac{1}{50}[/tex]
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 fractionFrom 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 2/1002/100 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
Learn more about simplification of fractions:
https://brainly.com/question/16414484
#SPJ9
Solve the quadratic equation and give both solutions.
14x^2 − 29x − 15 = 0
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]
Henry loves to read. He reads 90 pages in one hour. How many pages does he read in 5 hours
Answer:
450
Step-by-step explanation: 90x 5 = 450 hoped i helped
A sofa regularly sells for $710. The sale price is $553.80. Find the percent decrease of the sale price from the regular price.
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%.
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?
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.
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
Answer:
this months electric bill
Step-by-step explanation:
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
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)
One pound of candies costs $3.50.
How much will we have to pay for 4.5 lb?
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
PLS HELPPPPPPP CHECK THE PICTURE ABOVE PLS :((
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.
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.
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:
how do you find the area of the circle if the height is 1.5
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
What is the area of the rectangle?
60 units2
66 units2
70 units2
74 units2
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?
Answer:
(3,6)
Step-by-step explanation: it is a reflection across the x-axis which is positive (3,6)
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
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.
Learn more about equation of line here
https://brainly.com/question/21511618
#SPJ2
solve...
16= k/11
help
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
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
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
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
Answer:c
Step-by-step explanation:
I just toke the quiz
Answer:
c
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)
<< Previous Question
Next Question >>
Answer:
C. 3
Step-by-step explanation:
3 x 5 = 15, 15 + 2 = 17 :)
There are 207 students in 9 classes at east middle school at this rate how many students are in 6 classes
Answer:
138 students
Step-by-step explanation:
207/9 = 23
23*6=138
Answer:
138 students
Step-by-step explanation:
Q(9,10) R(-5,2) S(-8,-2) T(-1,2)
Answer:
its perpendicular
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
Answer:
a^2/b^23c^5Step-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^5Meg 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
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:
https://brainly.com/question/17879320
Enter 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! ^-^
What is the measure of PRQ?
Answer:
the answer is 172
Step-by-step explanation:
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[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 )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Given: ΔABC
m∠1=m∠2
D∈ AC , BD = DC
m∠BDC=100°
Find: m∠A, m∠B, m∠C
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∠2Having 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:
heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
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%
Answer:
The answer is C 66%
Step-by-step explanation:
Use the critical points to determine the test regions. Which are possible test points
Answer: -6, -3, 0
Step-by-step explanation:
Because it’s right :)
Answer:
A, C, E
Step-by-step explanation:
-6, -3, 0
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
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
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.
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.
In one 24-hour day there are 86,400 seconds. What is this number written in scientific notation?
The answer would be
8.64 x 10^4
2/3 as a decimal and also percent
Answer:
0.6 as a decimal and 60 percent