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3 years ago

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The sun spa charges annual dues of $125 plus $10 per hour to use the facilities. the moon spa charges annual dues of $230 plus $

7 per hour to use the facilities. for what number of hours would the two spas charge the same total amount?

1 answer:

sammy [17]3 years ago

3 0

I got 35 hours. You can solve by doing 10x+125=7x+230.

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write an equation in slope intercept form for the line described. perpendicular to y = -1/2x + 2/3, passes through (2,3)

Alex17521 [72]

Step-by-step explanation:

Hey there!

Follow the steps to get answer.

Use one point formula and find 1st equation.
After that you find the slope of second equation.
Use the condition of perpendicular lines and find the slope of first equation.
Put slope value of equation in equation (i) and simplify them to get equation.

The equation of a line passing through point (2,3) is;

(y-3)= m1(x-2).......(i).

Another equation is;

$y = \frac{ - 1}{2} x + \frac{2}{3}$

2nd equation..

Now, From equation (ii)

We have;

Comparing equation (ii) with y = mx+c.

We get;

Slope = -1/2.

For perpendicular lines,

$m1 \times m2 = - 1$

$m1 \times \frac{ - 1}{2} = - 1$

Therefore the slope is 2.

Put value of slope (m1) in equation (i). We get;

$(y - 3) = 2(x - 2)$

Simplify them to get equation.

$(y - 3) = 2x - 4$

$y = 2x - 1$

Therefore the required equation is y = 2x-1.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>

4 0

3 years ago

You have 7 times as many nickels

vaieri [72.5K]

Answer:

16 +7= 23

Step-by-step explanation:

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Read 2 more answers

A number, x, rounded to 2 significant figures is 1300<br>Write down the error interval for x.

nikitadnepr [17]

Answer:

$[1250,1350)$ .

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., $1250\leq x\leq 1300$ ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., $1300\leq x$ ...(2)

On combining (1) and (2), we get

$1250\leq x < 1350$

1350 is not included in the error interval for x.

Interval notation is $[1250,1350)$ .

Therefore, the error interval for x is $[1250,1350)$ .

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3 years ago

What is 1/2 X (6 X 4)+3 + 2 Please show your work

exis [7]

Answer:

<h2>17</h2>

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

$\dfrac{1}{2}\times\underbrace{(6\times4)}_{1}+3+2\\\\=\underbrace{\dfrac{1}{2}\times24}_{2}+3+2\\\\=12+3+2=17$

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Answer:

on a graph or a number line

Step-by-step explanation:

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