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]
Read more about linear equations at:
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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.
the sum of -8 and a number is at least 9 write an inequality and solve each problem
-8 + x >= 9
Solve for x by adding 8 to both sides:
X >= 17
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.
Find out more on this at https://brainly.com/question/25748983.
Rationalize the denominator and simplify. I will give brainliest
(\sqrt(a+1)-2)/(\sqrt(a+1)+2)
Answer:
(\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)
Step-by-step explanation:
To rationalize the denominator, you have to multiply the denominator and the numerator by (\sqrt(a+1)-2) (which doesn't change the value of the fraction)
You get: (\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)
Consider the complex number 5 + 0.45i What is the real part of this complex number?
Answer: 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
A complex number in the form z = a + bi , then
the real part of z is a and b is the imaginary part
For 5 + 0.45i
where 5 is the real part
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
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
Mackenzie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75. Write and solve an equation which can be used to determine x, the cost of the labor per hour.
Answer:
x=65
Step-by-step explanation:
Based on the given conditions, formulate: 157+3.75 X x=400.75
Rearrange unknown terms and Calculate the sum:
3.75x = 400.75 - 157
3.75x = 243.75
x=243.75 / 3.75
x=65
The cost of labour per hour is $65.
Given that, the technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75.
We need to write and solve an equation which can be used to determine x, the cost of the labour per hour.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Now, according to question 157+3.75×x=400.75
⇒3.75x=400.75-157
⇒3.75x=243.75
⇒x=243.75/3.75
⇒x=65
Therefore, the cost of labour per hour is $65.
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#SPJ2
Write the percent as a fraction or mixed number in simplest form.
31.25%
Please show work!
(08.06 MC)
Based on the graph, what is one solution of the equation f(x) = g(x)?
f(x)
(
g(x)
A x=-3.5
b x=-1
c x = 0.25
d x=-2
Answer:
A: X= -3.5
I just took the test, and I chose -1 and got it wrong and I looked back on the answer and that's what the answer said. Sorry if I was late, but good luck.
Write an expression that represents 42 is the product of 6 and y
No explanation needed, just tell me the answer :)
Answer:
[tex]6y = 42\\y = 7[/tex]
Step-by-step explanation:
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 type of triangle is AABC? Select all that apply.
Thank u
Answer:
obtuse and isosceles
Step-by-step explanation:
The original price of a TV is $525. Eddie buys the TV for
14% off the original price. Two weeks later Chuck buys the
same TV for 19% off. How much more money did Eddie
spend than Chuck?
What is the number seven hundred thirty-one million, nine hundred thirty-four thousand, thirty written in a stranded form
Answer:
731,934,030
Step-by-step explanation:
hope this helps you
Answer:
731,934,030
Step-by-step explanation:
Hope it helps
The question is, “ Which fraction is equivalent to 2/6?
A. 3/7
B.3/9
C.3/12
D.3/8”
I think that’s the question she was trying to adk
Answer:
B .3/9
Step-by-step explanation:
2/6 = 0.333333
3/9=0.333333
Encuentra las dimensiones de un rectangulo cuyo perímetro es 26 mts y el área es 40m2
Answer:
Las dimensiones del rectángulo son:
lado corto: 5 cm
lado largo: 8 cm
Step-by-step explanation:
Consideraciones:
El perímetro de un rectángulo se calcula así:
p = 2(lado corto + lado largo)
El área de un rectángulo se calcula así:
a = lado largo * lado largo
Planteamiento:
26 = 2(a+b)
40 = a*b
a = lado largo
b = lado corto
Desarrollo:
de la primer ecuación del planteamiento:
26/2 = a+b
13 = a+b
13-a = b
sustituyendo este último valor en la segunda formula del planteamiento:
40 = a(13-a)
40 = 13*a + a*-a
40 = 13a - a²
-a² + 13a - 40 = 0
a = {-13±√((13²)-(4*-1*-40))} / (2*-1)
a = {-13±√(169-160)} / -2
a = {-13±√9} / -2
a = {-13±3} / -2
a₁ = {-13-3} / -2 = -16 / -2 = 8
a₂ = {-13+3{ / -2 = -10 / -2 = 5
the small squares and circles around a selected graphic are called ____ handles.
What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio? Negative one-eleventh One-eleventh Two-fifteenths Fifteen-halves.
The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].
The given parameters:
Partition of the line segment = 5:6The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;
total segment = 5 + 6 = 11
The value of each partition on the directed line segment is calculated as follows;
[tex]partition = \frac{1}{11} \times distance[/tex]
The distance between point D and point E is calculated as follows;
[tex]D = 5 - (-4)\\\\D = 5 + 4\\\\D = 9[/tex]
The partition of the two points (D to E) is calculated as follows;
[tex]partition = \frac{1}{11} \times 9 = 0.82[/tex]
Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].
Learn more about partition of line segments here: https://brainly.com/question/4429522
Answer:
B
Step-by-step explanation:
edge2021
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
Is - 4 the absolute value of 3 – 7? Explain.
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today!!
We can solve this problem in a single step, we just need to know more about absolute value.
Absolute value is the distance a number is away from 0. For example, if we need to find the absolute value of -7, it would be 7 as the distance can not be negative.
Since we know that, we can solve the problem using algebra and our new logic we got.
[tex]|3-7|=-4?\\4\neq -4[/tex]
We can see that -4 is not the absolute value, 4 is as the distance is 4 and cannot be negative.
Cheers!
May I please receive help?
Answer:
um
Step-by-step explanation:
Do it quickly please for brainliest
Step-by-step explanation:
x/(2x - 4) - (2x - 11)/(x + 2) = 5/8x/(x - 2) - (4x - 22)/(x + 2) = 5/4x(x + 2) - (4x - 22)(x - 2) = 5/4(x + 2)(x - 2)4(x² + 2x - 4x² + 8x + 22x - 44) = 5(x² - 4)4(-3x² + 32x - 44) = 5x² - 20- 12x² + 128x - 176 - 5x² + 20 = 0- 17x² + 128x - 156 = 017x² - 128x + 156 = 0x = (64 ± 38)/17x = 6 or x = 26/17
Heather earns $16
$
16
for each hour she works as a lifeguard.
Choose the equation that models the situation, where ℎ
h
represents the number of hours she works and
m
represents the money she earns.
Answer:
$128 a day
Step-by-step explanation:
if she works 8 hours a day/ aka full time then its different from what she earns half time/4 hours, most likely she's working fulltime so ure answer would be $128 a day
(I would be happy if u marked me brainiest) thank you
what is 1\2 x 1.25
ljl
Answer:
Step-by-step explanation:
1.25 = 1 1/4
1 1/4 = 5/4
1/2 * 5/4 = 5/8
6. Which equation has infinite solutions?
A. 6x + 5 - 2x = 4 + 4x - 1
B. - 3+ 12x = - 3( 4x - 1)
C. 5 (x + 3) + 2 = 5x + 17
D. - 5 (x - 5) = - 25 + 5x
Answer:
C
Step-by-step explanation:
5x+15+2=5x+17
2 Simplify 5x+15+25x+15+2 to 5x+175x+17.
5x+17=5x+17
5x+17=5x+17
3 Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
Julio says, "If you subtract 17 from my number and multiply the difference by - 3, the result is
- 39." What is Julio's number?
Julio's number is?
Answer:
30
Step-by-step explanation:
first, create two equations.
let x = Julio's number and y = answer for Julio's number substrates 17
[tex]x - 17 = y \\ y ( - 3) = - 39 \\ [/tex]
by using substitution method, you will get
[tex]x = 30 \\ y = 13[/tex]
so the answer is 30
Evaluate 4(2a – b) when a = –1 and b = 5.
–48
–28
–12
32
Hey There!
Question:-[tex]\sf \longmapsto \: 4(2a - b)[/tex]
This is a algebraic expression. The values of a and b are given. The values are as follows :-
a = -1
And,
b = +5 .
Solution:-[tex]\sf \longmapsto4(2a - b)[/tex]
Note that a is multiplied with 2 that is :-
[tex]\sf \longmapsto4(2 \times a \: - b)[/tex]
Now, Insert the values that is a = -1 and b = 5 :-
[tex]\sf \longmapsto4(2 \times - 1 - 5)[/tex]
Here,we need to follow BODMAS Rule.
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
We need to solve the bracket's calculations first as it is the rule.
So, Firstly Multiply (2 × -1) :-
[tex]\sf \longmapsto4( - 2 - 5)[/tex]
Note that, (-) × (-) equals to (+).
So, it will be 5+2,But as 5 is bigger number than 2, 5 contains a minus sign.So the result will be -7.
[tex]\sf \longmapsto4( 5+ 2)[/tex]
On Simplification:-
[tex]\sf \longmapsto4( - 7)[/tex]
[tex]\sf \longmapsto4 \times (- 7)[/tex]
[tex]\sf \longmapsto \: - 28[/tex]
______________________________________
Henceforth the solution of the algebraic expression is :-
[tex] \bf \:- 28[/tex]
Option B is correct!
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
4567 x 1283490 =
I just want to give points : )
Answer:
5861698830
Step-by-step explanation:
Question is in picture please help will mark brainliest
Answer:
4+2(n-1)+5(n-1)
Step-by-step explanation:
We know the pattern always has a +5 to the previous term then plus the lowest unrepeatded even number, such as +0, +2, +4, +6, and so on. The next erm will be 36+5+8, which is 49. The nth then will be the first term+2(n-1)+5(n-1).
That will result in
4+2(n-1)+5(n-1)
Please give brainliest! Thank you!
Can someone please solve these 3 I DIDNT solve
Answer:
7: (3,9) 8:(-2,1) 6: (2,10)
Step-by-step explanation:
7) 2x+3=-2x+15
x=3
y=2(3)+3
y=6+3
y=9
8)x= -1(1+2y)/3
-4-2y=-6
y=1
x=-2(1+2(1))/3
x=-2
6)2x-16=-12
x=2
y=2+8
y=10