Answer:
a. 12 feet b. 12 feet 0.5 inches c. 8.33 %
Step-by-step explanation:
a. How far out horizontally on the ground will it protrude from the building?
Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.
So, by ratios rise/run = 1/12 = 12/x
1/12 = 12/x
x = 12 × 12
x = 144 inches
Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet
b. How long should the ramp be?
The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.
So, L = √(12² + 144²)
= √[12² + (12² × 12²)]
= 12√(1 + 144)
= 12√145
= 12 × 12.042
= 144.5 inches
Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches
c. What percent grade is the ramp?
The percentage grade of the ramp = rise/run × 100 %
= 12 inches/144 inches × 100 %
= 1/12 × 100 %
= 0.0833 × 100 %
= 8.33 %
8 is what percent of 400?'
Your answer
Answer:
2
Step-by-step explanation:
8:400*100 =
(8*100):400 =
800:400 = 2
The solution of the equation that 8 is what percent of 400 is 2, i.e. 8 is 2 percent of 400.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable.
The equation of percentage can be calculated as:
Consider, the unknown variable as x,
According to the given data in the question,
[tex]8 = \dfrac{x}{100} \times 400[/tex]
The equation can be simplified as:
8 = 4x
Divide both side by 4 to get the value of x,
x = 2
The solution of the equation that 8 is 2 percent of 400.
Learn more about equations here :
https://brainly.com/question/14686792
#SPJ6
Please help! - If the triangles are congruent, pick the postulate that proves they are congruent. If they aren't, choose not congruent.
Which scenario could represent − 50 ÷ 8 ?
What should the points be of the linear equation y=2x + 1
Answer:
B
Step-by-step explanation:
Answer:
x=1,y=3
Step-by-step explanation:
e.g y= 3
3=2x+1
3-1=2x
2/2=x
1=x
Mr. Ramirez baked 25 cookies. 4 fifths of the cookies were oatmeal. How many oatmeal cookies did Mr. Ramirez bake?
Answer:
20 oatmeal cookies
Step-by-step explanation:
4/5 of 25 is 20
If you are working on proportions, you can do 4/5=x/25
Answer:
24
Step-by-step explanation:
30 cookies, 4/5 are oatmeal
Multiply fractions straight across the equation, numerator times numerator and denominator times denominator.
30/1 x 4/5 = 120/5
Reduce 120/5 by dividing denominator and numerator by 5
120 / 5 = 24/1 = 24 cookies were oatmeal.
OR
30/5 = 6 = 1/5 of 30
4 x 6 = 24 cookies were oatmeal
Hardly worth heating the oven and getting all the pans dirty for such a small batch
Luke, Kira, and Ali each served 23 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slices, and Ali served 8 slices. How is this possible? Enter your answers in the boxes to complete the solution
Complete Question:
Luke, Kira, and Ali each served 2/3 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slices, and Ali served 8 slices. How is this possible? Enter your answers in the boxes to complete the solution.
A. Luke cut his cake into how many slices?
B. Kira cut her cake into how many slices?
C. Ali cut her cake into how many slices.
Answer:
A. 6 slices.
B. 9 slices.
C. 12 slices.
Step-by-step explanation:
Given the following data;
Number served by Luke = 4 slices
Number served by Kira = 6 slices
Number served by Ali = 8 slices
We would solve for the number of slices each of them divided their cakes into.
For Luke, serving 2/3;
[tex] \frac {4}{\frac{2}{3}} = \frac {4 * 3}{2} [/tex]
[tex] \frac {4}{\frac{2}{3}} = \frac {12}{2} [/tex]
[tex] \frac {4}{\frac{2}{3}} = 6 \; slices [/tex]
For Kira, serving 2/3;
[tex] \frac {6}{\frac{2}{3}} = \frac {6 * 3}{2} [/tex]
[tex] \frac {6}{\frac{2}{3}} = \frac {18}{2} [/tex]
[tex] \frac {6}{\frac{2}{3}} = 9 \; slices [/tex]
For Ali, serving 2/3;
[tex] \frac {8}{\frac{2}{3}} = \frac {8 * 3}{2} [/tex]
[tex] \frac {8}{\frac{2}{3}} = \frac {24}{2} [/tex]
[tex] \frac {8}{\frac{2}{3}} = 12 \; slices [/tex]
Therefore, it is possible because;
A. Luke cut his cake into 6 slices.
B. Kira cut her cake into 9 slices.
C. Ali cut her cake into 12 slices.
The probality that Kimmy makes a basket is 7/10. If she shoots 100 baskets, how many times can she expect to make?
Answer:
70
Step-by-step explanation:
100 shots is ten times the amount she took first
so we do 7 × 10 =70
Please help me its due in 10 minutes
Answer:12
Step-by-step explanation:
PLS HELP ASAP!!!!! WILL GIVE BRAINLIEST!!!!!!!!! 100 POINTS!!!!!!!!!
Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of its image?
(3, -5)
(-5, 3)
(-5, -3)
(5, 3)
Answer:
(3, -5)!
Hope this helps! :D
i need help with a question
Answer: dp
Step-by-step explanation:
Given the following system, what is the best first step to solving by substitution? 4x-5y=-2
X=15-4y
Answer:
Substitute x into the first equation.
Step-by-step explanation:
4(15-4y) - 5y = -2
The variable x is already by itself on one side of the equation. Therefore, x = 15 - 4y which means we can substitute 15 - 4y into the first equation.
Answer:
4(15-4y) - 5y = -2
Step-by-step explanation:
4x - 5y = -2
x = 15 - 4y:
Substitute x = 15 - 4y into the first equation:
4(15-4y) - 5y = -2
Pleaseeeee help thanks
Answer:
1 freedom of speech
2 bear arms mean that i can own and carry a gun to protect me, myself and my property.
3 search warent
4 the tar and feather used on blacks.
5 fouth
6 it is passed down to mayors
7 i think that the most important amendment is the first because it allows us say what we like without getting punished by it.
sorry bout my bad grammer
Step-by-step explanation:
i forgot how to do this. ill give u a brainliest
Answer:
Possible answers could be that you have 400 adults and no children, or you could have 100 children and 340 adults.
please help me please will give brainliest to anyone
Answer:
c.Step-by-step explanation:
>means the unit rate once of icing for cake
=40 4/5 ounces
yall help please
Sandeep sat 11 tests in January 2020.
Each test was marked out of 60.
Here are his test results .
45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42
Find the interquartile range of these test results.
Given:
The data values are 45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42.
To find:
The interquartile range of these test results.
Solution:
We have, the set of data values.
45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42
Arrange the data in ascending order.
35, 37, 38, 39, 41, 42, 43, 44, 45, 47, 47
Divide the data in two equal parts.
(35, 37, 38, 39, 41), 42, (43, 44, 45, 47, 47)
Divide each parenthesis in two equal parts.
(35, 37), 38, (39, 41), 42, (43, 44), 45, (47, 47)
Here,
First quartile: [tex]Q_1=38[/tex]
Third quartile: [tex]Q_3=45[/tex]
Now, the interquartile range is
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=45-38[/tex]
[tex]IQR=7[/tex]
Therefore, the interquartile range of these test results is 7.
Use the triangle below to solve for 14 5x-6 10
Answer:
5x+18
Step-by-step explanation:
Are u dividing ? or no?... or adding more details plzz
The question is in the image
Billy's Bikes charges $9 an hour to rent a bike plus a $19 flat fee. If Ben
spends $73, how many hours did he rent the bike for?
Answer:
6
Step-by-step explanation:
Make an equation Set x as number of hour
19+9x=73
9x=54
x=6
Step-by-step explanation:
73-19 flat fee=54
54÷9=6 hrs
Chang Knows one side of a triangle is 13cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?
5cm and 8cm
6cm and 7cm
7cm and 2cm
8cm and 9cm
Answer:
Option D: 8cm and 9cm. Is your answer.
Answer:
8 cm and 9 cm
Step-by-step explanation:
the two shorter sides must equal more than the longest side.
Alex has $30,000 in his savings account that earns 10% annually.
Part A
How much interest will he earn in one year?
Interest = $____
Part B
If Alex spends 20% of the interest received on buying furniture for his new house, what amount did he spent on furniture?
Answer: $_____
SOLVE AND ILL MARK BRAINLIEST!!!
Answer:
Gabrielle, because she gets 16.2 miles per gallon, where as Jerimiah only gets 15 miles per gallon.
Step-by-step explanation:
HELP!! A,b,or C need it asap
Answer:
the answer is b
Step-by-step explanation:
Caleb started with 50 bacteria for his science experiment and they doubled in one day. Jenna also started with 50 bacteria for her experiment and after one day, her number of bacteria was equal to 50 to the second power. Choose the statement that is true for the number of bacteria after one day.
A Caleb's experiment had 100 bacteria and Jenna's experiment had 250 bacteria.
B Caleb's experiment had 100 bacteria and Jenna's experiment had 2,500 bacteria.
C Caleb's experiment had 500 bacteria and Jenna's experiment had 500 bacteria.
D Caleb's experiment had 250 bacteria and Jenna's experiment had 500 bacteria.
Answer: B
Step-by-step explanation:
The second power basically means that you multiply the number by itself that many times depending on the power, and since it's 50^2, the answer is Caleb - 100 | Jenna - 2,500. (Tip: Just multiply 50 x 50)
there are fewer than 8 gallons of gas in the tank... write an inequality to represent each situation.
Answer:
x<8
Step-by-step explanation:
i don't think the question was complete, i cannot make an inequality with just the information given.
Will Give Brainliest
Last week Jim’s gross pay was $1,248 working 40 regular hours and 8 overtime hrs at double pay.
What was Jim's regular hourly rate?
Given m||n, find the value of x.
t
>m
(8x-27)
(7x-4)
Answer:
x = 23
Step-by-step explanation:
(8x - 27) and (7x - 4) are corresponding angles and are congruent, so
8x - 27 = 7x - 4 ( subtract 7x from both sides )
x - 27 = - 4 ( add 27 to both sides )
x = 23
Answer:
x = 23
Step-by-step explanation:
1. Jenny and Gary bought some crayons and makers. Jenny bought 4 crayons and 5 markers for $6.71. Gary bought 5 crayons and 3 markers for $7.12. Find the cost of each.
Answer:
ons are in the crayon box.If there are 4 rows of 19 crayons,
Step-by-step explanation:
Vanessa tried to solve an equation step by step.−12=4(f-6)
Step 1. -12=4f−24
Step 2. 12=4f
Step 3. 4=f
Find Vanessa's mistake.
It step 3 I got The same question on khan academy
The regular price of a video game is $19.50 The store is having a 40% off sale.
A:How much is the discount?
B: How much will you pay for the video game after the discount?
Find the slope of the ordered pairs (2,5) (4,13)
Answer:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ slope = \frac{13 - 5}{4 - 2} \\ = \frac{8}{2} = 4[/tex]
