27/70 in simplest form

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.

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:

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!

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

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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.

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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(B)

is my answer..........

Answer:

I think b is correct answer

Step-by-step explanation:

is correct answer

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

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)

Answer:

42 mph

Have a wonderful day! Please mark me as Brainliest!

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:

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.

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

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)

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Answer:

[tex]6y = 42\\y = 7[/tex]

Step-by-step explanation:

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

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

Answer:

Step-by-step explanation:

1.25 = 1 1/4

1 1/4 = 5/4

1/2 * 5/4 = 5/8

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

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me! :)

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

Answer:

2/3

Step-by-step explanation:

18/27 simplified is 2/3

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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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:

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

Answer:

1.300 correct me if I'm wrong

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

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.

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

Answer:

C. 156

Step-by-step explanation:

65/5

13 houses per month

13*12=156