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Archy [21]
3 years ago
15

Please find the distance between the points

Mathematics
1 answer:
marusya05 [52]3 years ago
5 0

Answer:

they are 6 uints apart

Step-by-step explanation:

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On the trip from KC to Springfield, the church van consumed 15 gallons of gas to go 179 miles. If gas cost $2.58 per gallon, wha
Otrada [13]

Answer:

$77.4

Step-by-step explanation:

GIVEN: On the trip from KC to Springfield, the church van consumed 15 gallons of gas to go 179 miles. If gas cost \$2.58 per gallon.

TO FIND: Cost of a round trip to Springfield.

SOLUTION:

Distance of springfield from KC =179\text{ miles}

As it is a round trip total distance =2\times179=358\text{ miles}

As 15 gallons gas used for 179 miles distance

gas required for 1 mile =\frac{15}{179} gallons

gas required for 358 miles =\frac{15}{179}\times2=30 gallons

cost of one gallon of gas =\$2.58

cost  of 30 gallons of gas =30\times2.58=\$77.4

Hence cost of roundtrip to Springfield is $77.4

6 0
3 years ago
The equation of a line is x + 5y = 12.<br> What is the y-intercept of the line?<br> 2<br> oo<br> 그
raketka [301]

Ambitious

x+5y=12

5y=12-x

y=(12-x)/5

y=12/5-x/5

The intercept is 12/5

4 0
3 years ago
Your restaurant can seat 150 guests. If 6 tables of 6 are seated, what percent of the restaurant seating is still empty?
nikitadnepr [17]

Answer:

76%

Step-by-step explanation:

First, we know that 6 tables of 6 are already seated. We can go ahead and multiply 6 by 6, which is 36.

This means that 36 of the 150 seats are already taken.

But, we want to find the amount of seats that are still empty. So, we subtract 36 from 150 to get 114 seats.

The question is asking for the percentage, so we can divide 114 by 150 seats to get 0.76. Then, we have to move the decimal to the right 2 spaces to get 76%

5 0
2 years ago
Read 2 more answers
Find the equations of the tangents to the curve y = x²-x-12 at each of the points where the curve crosses the x-axis.​
poizon [28]

Step-by-step explanation:

First, find the zeroes of the parabola

{x}^{2}  - x - 12

{x}^{2}  - 4x + 3x - 12

x(x  - 4) + 3(x - 4)

(x +  3)(x  - 4) = 0

x =  - 3

x - 4 = 0

x = 4

So the zeroes or where the curve crosses the x axis is at 4 and -3.

Now, we take the derivative of the function.

\frac{d}{dx} ( {x}^{2}  - x - 12) = 2x - 1

Plug in -3, and 4 into the derivative function

2( - 3) =  - 7

2(4) - 1 = 7

So at x=-3, our slope of the tangent line is -7 and must pass through (-3,0). So we use point slope formula.

y - y _{1} = m(x - x _{1})

y - 0 =  - 7(x - (  - 3)

y =  - 7x - 21

At x=4, our slope of tangent line is 7, and pass through (4,0) so

y - 0 = 7(x - 4)

y = 7x - 28

So the equations of tangent is

y =  - 7x - 21

y = 7x - 28

6 0
2 years ago
What is the inverse of the function
Natasha_Volkova [10]
n(x)= \frac{ x^{2}+2 }{5}
8 0
3 years ago
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