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Ahat [919]
2 years ago
11

Car a travels 0.5 miles per hour faster than car

Mathematics
2 answers:
babymother [125]2 years ago
7 0

Answer:

Car B drives in 16 hours 1272 miles.

Step-by-step explanation:

Car A drives 1280 miles in 16 hours.

Speed = \frac{Distance}{Time}

The speed rate of car A = \frac{1280}{16} = 80 miles per hour

Car A travels 0.5 miles per hour faster than car B.

∴ Speed of car B = 80 - 0.5 = 79.5 miles per hour

If car A drives 1280 miles in 16 hours.

∴ car B drives in 16 hours = 79.5 × 16 = 1272 miles

Car B drives in 16 hours 1272 miles.

Crazy boy [7]2 years ago
3 0
Average speed for car a = 1280 / 16  =  80 mph
Car b travels at 80 - 0.5 = 79.5 mph.

Distance  car b will travel in same time  = 16*79.5 =  1272 miles.
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A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b)
natka813 [3]

Answer:

The answer on edge 2020 is 0,5,8. This question was put up 2 years ago if another Brainly staff member wants to delete this answer and tell me that its wrong they can contact me for a nice screen recording.

0

5

8

Step-by-step explanation:

5 0
2 years ago
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The slope of the line below is 2. Which of the following is the point-slope form
vladimir2022 [97]

Answer:

D

Step-by-step explanation:

point-slope form is y-y1=m(x-x1) . since the slope is 2 and not -2, you can automatically eliminate choices A and C. since the y-value in the point, (1,-1), is -1, you will add it to y because you are subtracting a negative. (- - = +) therefore, the final equation, in point-slope form, is y+1=2(x-1), or answer choice D.

7 0
3 years ago
Read 2 more answers
Find an equation of the line containing the centers of the two circles whose equations are given below.
Anna35 [415]

Answer:

<h2><em>3y+x = -5</em></h2>

Step-by-step explanation:

The general equation of a circle is expressed as x²+y²+2gx+2fy+c = 0 with centre at C (-g, -f).

Given the equation of the circles x²+y²−2x+4y+1  =0  and x²+y²+4x+2y+4  =0, to  get the centre of both circles,<em> we will compare both equations with the general form of the equation above as shown;</em>

For the circle with equation x²+y²−2x+4y+1  =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4  =0:

2gx = 4x

2g = 4

Divide both sides by 2:

2g/2 = 4/2

g = 2

Also, 2fy = 2y

2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

c is the intercept

Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

m = -1-(-2)/-2-1

m = -1+2/-3

m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

-1 = 2/3+c

c = -1-2/3

c = -5/3

Finally, we will substitute m = -1/3 and c = 05/3 into the equation y = mx+c.

y = -1/3 x + (-5/3)

y = -x/3-5/3

Multiply through by 3

3y = -x-5

3y+x = -5

<em>Hence the equation of the line containing the centers of the two circles is 3y+x = -5</em>

5 0
3 years ago
While visiting friends in Brookfield, Janet bought a bike lock that was marked down 20% from an original price of $8.75. If the
Shtirlitz [24]

Answer:

7.49

Step-by-step explanation:

Well first you have to find how much the bike lock cost.

8.75 x 0.2

1.75 = how much 20% of 8.75 is

8.75-1.75

7 = the cost of the bike lock with the 20% markdown

Now you have to find the sales tax.

7 x 0.07

0.49

7 + 0.49

7.49 = total cost with all the stuff

Hopefully this was helpful. There is a shorter method too tho.

3 0
2 years ago
3x
mel-nik [20]

Answer:

x = 25°

Step-by-step explanation:

3x + 2x + x + 30° = 180°

6x + 30° = 180°

6x = 150°

x =25°

=> 3x = 25 * 3 = 75°

=> 2x = 25 * 2 = 50°

=> x + 30° = 25° + 30° = 55°

6 0
3 years ago
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