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3 years ago

Round 7 3/7 to the nearest hole

Mathematics

1 answer:

Lana71 [14]3 years ago

5 0

Answer: 7

Step-by-step explanation: 3/7 is 0.4 so 7.4 rounded to the nearest whole is 7

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A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service

Yakvenalex [24]

Answer:

Part a) The equation of the line in point slope form is

$y-264.70=39.95(x-6)$

Part b) The equation in slope intercept form is

$y=39.95x+25$

Part c) The setup fee is $25

Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

$y-y1=m(x-x1)$

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

$m=39.95\ \frac{\$}{month}$

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

$y-264.70=39.95(x-6)$ ----> equation in point slope form

Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$y-264.70=39.95(x-6)$

Isolate the variable y

Distribute right side

$y-264.70=39.95x-239.70$

Adds 264.70 both sides

$y=39.95x-239.70+264.70$

$y=39.95x+25$

Part c) what is the setup fee?

The setup fee is the y-intercept of the linear equation

The y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)

For x=0

$y=39.95(0)+25$

$y=\$25$

The setup fee is $25

8 0

3 years ago

What is the equation of the line that passes through the point (-8,5) and has a slope of -1/4

tresset_1 [31]

Answer:

$y=\frac{-1}{4} x+3\\$

Step-by-step explanation:

$(y-5)=\frac{-1}{4} (x--8)\\(y-5)=\frac{-1}{4} (x+8)\\y=\frac{-1}{4} x-\frac{8}{4}+5 \\y=\frac{-1}{4} x-2+5\\y=\frac{-1}{4} x+3\\$

5 0

3 years ago

Read 2 more answers

If Karen finished watching a movie at 1:10 pm, and it lasted 1 hour 38 minutes, then what time did she start the movie

expeople1 [14]

Answer:

11.32pm

Step-by-step explanation:

1.10pm - 1hr = 12.10pm

12.10pm - 38min = 11.32pm

6 0

3 years ago

Read 2 more answers

At which velocity is a Space Capsule moving faster -100 miles per hour or 80 miles per hour

Anastasy [175]

Answer:

117.3 feet per second.

Step-by-step explanation:

Velocity is the speed of an object in a definite direction. In mechanics, velocity is a vector quantity. It requires magnitude and direction to make any sense. Velocities are expressed per unit time.

The SI unit of time is the second.

Now, suppose we need the velocity in feet per second. A simple calculation will help:

feet per second = miles per hour × 1.466667 [ in other words, one mile per hour equals 1.466667 feet per second]

For a space capsule moving at 80 miles per hour, the velocity is given by

= 80 × 1.466667

= 117. 3 ft/s [feet per second]

8 0

3 years ago

Read 2 more answers

Written as a simplified polynomial in standard form, what is the result when

Naddika [18.5K]

Step-by-step explanation:

7x+10 - (x+2)^2

7x+10 - (x^2 + 2x + 4)

7x+ 10 - x^2 - 2x - 4

5x + 6 - x^2

then if u have to find the value of x then put the value of a = 1,b = 5,c = 6 in quadratic formula (-b + under root b^2 - 4ac / 2a) or (- b - under root b^2 - 4ac / 2a) it will gives the value of x...

HOPE it u..!!

edit - do let me knw that it's right or not..!!

7 0

3 years ago