On a set of steps, the first step from the base of the steps is labeled 111, the second is labeled 222, and so on. Each step has the same height. The table below shows the step number and step's height from the base of the steps.
Step number Height from the base (meters)
505050 101010
909090 181818
110110110 222222
Write an equation to describe the relationship between nnn, the step number, and hhh, the height from the base.
The equation that describes the relationship between n, the step number, and h, the height from the base is [tex]\mathbf{h = 0.2n}[/tex]
The sets of step are given as:
Step number (n) Height from the base (h)
50 10
90 18
110 22
The above table represents a linear relationship.
So, we start by calculating the slope (m)
[tex]\mathbf{m = \frac{h_2 -h_1}{n_2 -n_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{18 - 10}{90 - 50}}[/tex]
[tex]\mathbf{m = \frac{8}{40}}[/tex]
Simplify
[tex]\mathbf{m = 0.2}[/tex]
The equation is then calculated as:
[tex]\mathbf{h = m(n -n_1) + h_1}[/tex]
So, we have:
[tex]\mathbf{h = 0.2(n -50) + 10}[/tex]
Expand
[tex]\mathbf{h = 0.2n -10 + 10}[/tex]
Evaluate like terms
[tex]\mathbf{h = 0.2n}[/tex]
Hence, the equation that describes the steps is [tex]\mathbf{h = 0.2n}[/tex]
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Answer:
h=0.2n
Step-by-step explanation:
I'm too lazy to do a step-by-step but this is correct on khan academy.
Evaluate 6/8×4/5 Give your answer in its simplest form.
Answer: 3/8
Step-by-step explanation:
Answer:
your answer is
its 3.5
This diagram shows right rectangular ABCDEFGH. It also shows EB and HB.
Find the length of each diagonal shown in the diagram. If necessary, round your answers to the nearest tenth.
Answer:
17
18.4
Step-by-step explanation:
c² = a² + b²
EB² = 15² + 8²
EB = 17 cm
c² = a² + b²
HB² = HE² + EB²
HB² = 7² + 17²
HB² = 338
HB = 18.4 cm
(-5) - (+2) + (+2) - (-5)
Answer:
the answer will zero for sure
Answer:
0
Step-by-step explanation:
-+ = --- = ++- = -++ = +-5-2+2+5 = 0
In a telephone poll, 18 people said they like shopping and 27 people said they do not like shopping. What is the ratio of the number of people who like shopping to the number of people who do not like shopping?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
2/3
Step-by-step explanation:
18/27 simplified is 2/3
The sum of 6 and a number is 3
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
The other number is 3.....Hope it helps!
Brainliest pls!
Follow me! :)
please help only answer if you're sure it right
(B)
is my answer..........
Answer:
I think b is correct answer
Step-by-step explanation:
is correct answer
A plant nursery is having a sale. Potted begonias are marked down 27%, and tomato seedlings are marked down 35%. If you pay $6. 57 each for two potted begonias and $2. 60 each for three tomato seedlings, how much did you save? a. $3. 83 b. $5. 31 c. $6. 92 d. $9. 6.
Based on the markdowns and the number of each of the plants purchased, the amount saved is $9.06
Potted Begonias cost $6.57 when discounted by 27%. Their cost must be:
Discounted cost = Original cost x (1 - Discount)
6.57 = Original x (1 - 27%)
Original = 6.57 / 0.73
Original = $9.00
The savings here are therefore:
= 2 x (9 - 6.57)
= $4.86
The original cost of the Tomato seedlings is:
= 2.60 / ( 1 - 35%)
= $4.00
Savings would be:
= 3 x (4 - 2.60)
= $4.20
Total savings are therefore:
= 4.86 + 4.20
= $9.06
In conclusion, $9.06 was saved.
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What is the measure of
Answer:
81
Step-by-step explanation:
From the diagram,
143 is the exterior angle of the triangle.
61 and B are interior angles of the triange.
Formula : -
Exterior angle of a triangle = Sum of two interior angles in a triangle
143 = 61 + ∠B
∠B = 143 - 61
∠B = 82
Therefore, the measure of ∠B is 82.
the small squares and circles around a selected graphic are called ____ handles.
What factoring pattern can you use to solve x^2+14x+49=0
A (ax+√c)^2=0
B (√a*x+√c)^2=0
C (√a*x+c)(√a*x-c)=0
D (ax+√c)(ax-√c)=c
Answer:
B (√a*x+√c)^2=0
Step-by-step explanation:
It can be helpful to look a the expanded form of each of these factoring patterns.
A (ax+√c)^2=0 ⇒ a^2x^2 +2a√c*x +c = 0
B (√a*x+√c)^2=0 ⇒ ax^2 +2√(ac)*x +c = 0
C (√a*x+c)(√a*x-c)=0 ⇒ ax^2 -c^2 = 0
D (ax+√c)(ax-√c)=c ⇒ a^2x^2 -c = c
If 'a' and 'c' represent the coefficients in the given equation, then choices A, C, and D can be eliminated. The expanded forms of those end up with a^2 and/or c^2 as coefficients, not 'a' and 'c'.
Choice B is the only sensible one, and fits the given equation.
a = 1, c = 49 ⇒ √a = 1, √c = 7
x^2 +14x +49 = (x +7)^2 = 0 . . . . . factored using Pattern B
HELP ASAP PLEASE?!
The graph at the right shows Jeremy's distance from home each hour he is on a car trip. How many miles will he be from home after 10 hours?
A) 350 miles
B) 400 miles
C) 500 miles
D) 550 miles
Answer: your anwser would be 500 c
Step-by-step explanation:
this is becuase for 1 hour it is 50 miles so you would multply 10 times 50 and get 500 please mark brainliest
Solve for W.
A=6W
help timed
Answer:
w = [tex]\frac{a}{6}[/tex]
Step-by-step explanation:
6w= a
---- ----
6 6
w = [tex]\frac{a}{6}[/tex]
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
determine which graph shows Y is a function of x PLEASE HELP ASAPPP
Answer: The Horizontal line at 5
Step-by-step explanation: For Y to be a function, there cannot be different points on the same x value. The horizontal line is the only one that has one y value per x value.
Hope this helps!
Answer: C
Step-by-step explanation:
I need help, can someone explain #4,5,6 in full detail. (I'm very visual)
Answer
4= 55 and 3/4 5= 4 2/5 6= 6 and 1/2
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
I did #4 for you:
[tex]11\frac{8}{9}+5\frac{1}{2}[/tex]
[tex]11+5+\frac{8}{9}+\frac{1}{2}[/tex]
[tex]16+\frac{16}{18}+\frac{9}{18}[/tex]
[tex]16+\frac{24}{18}[/tex]
[tex]16+\frac{4}{3}[/tex]
[tex]16+1+\frac{1}{3}[/tex]
[tex]17\frac{1}{3}[/tex]
It really helps to break up the mixed numbers into parts and change the fractions so they have the same denominator. Try to do #5 and #6 the same way I did.
An airplane flies 630 miles per hour for 2,400 miles with the wind in the same amount time it flies 2,100 miles against the wind. Find the speed of the wind.
Answer:
42 mph
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Describe the correlation of the following data:
strong, positive
strong, negative
weak, positive
weak, negative
Answer:
Weak and positive
Step-by-step explanation:
I just said it
The correlation of the data provided is Weak and the positive option (C) is correct.
What is a regression line?A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.
We have a scatter plot shown in the picture.
As we can see in the dot plot the dots are scattered so much so there will be a very weak correlation between the variables.
As we know, the correlation is the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
The formula for the regression coefficient:
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
Drawing a line of best fit, we will see the correlation is Weak and positive.
Thus, the correlation of the data provided is Weak and the positive option (C) is correct.
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Help Me Please!
A repairman charges an inspection fee plus $20 per hour. A customer
with a coupon for 40% off the inspection fee pays $110 for a 4-hour repair.
How many hours are worked when a customer pays $90 without a coupon?
Answer:
$108.50 for the 30% off an 1 hour and 35 min without the coupon 155 x 0.3 = 46.5. 155-46.5=108.50
The food you ordered at a restaurant costs $32.
lowa sales tax is 7%.
It was good service- You decided to tip 20%.
How much tax would be added to your bill?
What is the cost after tax?
What is the amount after the tip
Find the total cost you will pay
Answer:The food you ordered at a restaurant costs $32.
lowa sales tax is 7%.
It was good service- You decided to tip 20%.
How much tax would be added to your bill?
What is the cost after tax?
What is the amount after the tip
Find the total cost you will pay
Step-by-step explanation:
what is 0.1 is 1/10 of what number???
Answer: 0.1 is 1/10 of 1.
Step-by-step explanation:
A pink paint mixture uses 3 cups of white paint for every 6 cups of red paint.
The table show different quantities of red and white paint for the same shade
of pink. Complete the table.
PLS HURRY
Answer:
1/2 white paint for 1 red paint
3/2 white paint for 3 red paints
12 red paint for 6 white paints
Step-by-step explanation:
I used the ratio form
Soln: 6 red paints : 3 white paint = 1 red paint : x
6/3 × 1/x
So we will cross multiply
6x/6 × 3/6
x = 1/2
The length of a rectangle exceeds its width by four inches. Find the dimensions of the rectangle if its area is 96 square inches.
Answer:
the width is 8
Step-by-step explanation:
I know this because 12×8 is 96
and 12 exceeds 8 by 4, that's how I came up with it
Length-12 in
Width-8 in
Area-96 square inches
A builder completed 65 houses in five months. At this rate, how many houses will the builder
complete in a year? (1 year = 12 months)
H
13 houses
L
130 houses
חד
F
780 houses
с
156 houses
Answer:
C. 156
Step-by-step explanation:
65/5
13 houses per month
13*12=156
2x+5+2x+3x no solution, 2x+5+2x+3x one solution, 2x+5+2x+3x infinitely many solutions
Answer:
Step-by-step explanation:
*From what I'm getting, many of the blanks have multiple numbers that would work.*
No Solutions:
First Blank: 7
Second Blank: Any number but 5
One Solution:
First Blank: Any number but 7
Second Blank: Any number
Infinitely Many Solutions:
First Blank: 7
Second Blank: 5
What number is one thousand more than 3,368
A box of cereal weighs 600 grams. How much is this weight in pounds? Round your answer to the nearest hundredth.
Answer:
1.300 correct me if I'm wrong
The cost in dollars for a group to attend a play is represented by 72p + 250. where p is the number of people attending what is the cost for 36 people.
A. 286
B. 358
C. 2,342
D. 2,842
Based on the equation that is given, the total cost for the group to attend a play will be 2842.
From the information given, the cost in dollars for a group to attend a play is represented by 72p + 250.
Therefore, when the number of people are 36, the cost will be:
= 72p + 250
= 72(36) + 250
= 2592 + 250
= 2842
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2(3+x)=18 what does x equal please show work
2(3 + x) = 18 / : 2
3 + x = 9
x = 9 - 3
x = 6
Answer:
x = 6
Step-by-step explanation:
2(3 + x) = 18 ( divide both sides by 2 )
3 + x = 9 ( subtract 3 from both sides )
x = 6
what is the theoretical of flipping a coin and it lands on heads
Answer:
50/50
Step-by-step explanation:
Im not completly sure but when flipping a coin there is only two sides so theoretically if you are flipping a coin there is a 50/50 percent chance you will get heads
express 60 as the product of prime factors in ascending order in
index form
Answer:
2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2. Now we collect the factors, so our final answer is 60 = 5 x 3 x 22.
Step-by-step explanation: