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2 years ago

Bob walked 20 miles in 4 hours. Kelly walked 14 miles in 3 hours. Are these rates proportional

Mathematics

2 answers:

zaharov [31]2 years ago

7 0

Answer:

Step-by-step explanation:

20/4=5

14/3=4.67

Since they're not the same, they're not proportional.

STALIN [3.7K]2 years ago

3 0

Answer:

not proportional

Step-by-step explanation:

First , let's find the speed of each person by dividing the distance traveled and the time.

Using B to represent Bob's speed and K to represent Kelly's speed , we have:

$B=\frac{20}{4} = 5 mph\\K=\frac{14}{3}= 4.666 mph\\\\$

The speeds 5 and 4.666 are not multiples , so they are NOT proportional.

PLEASE MARK ME BRAINLIEST

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Plz help

jeka94

Answer:

30 miles per hour downstream

20 miles per hour upstream

Step-by-step explanation:

divide 4 by 120 to get the rate downstream

divide 6 by 120 to get the rate upstream

Hope this helps :(

3 0

2 years ago

-2x+3y=-12 2x+y=4 After adding the two equations to eliminate x you are left with 4y=-8 solve for y

natita [175]

-2x+3y=-12 2x+y=4

add together

4y = -8

divide by 4

y = -2

3 0

2 years ago

Read 2 more answers

Find the total area for the regular pyramid.

hram777 [196]

Answer:

Option B

Step-by-step explanation:

Given is the hexagonal pyramid.

We know the radius of the base is same as its side.

Find the base area:

A = 3√3/2a²
A = 3√3/2*6² = 54√3

Given the height and radius, find the side of the lateral triangular faces:

$\sqrt{8^2+6^2} =\sqrt{100} =10$

Each of 6 triangles have sides 10, 10 and 6 units.

Find the area using heron's formula:

s = P/2 = (10*2 + 6)/2 = 13
s - a = s - b = 13 - 10 = 3
s - c = 13 - 6 = 7
$A = \sqrt{s(s-a)(s-b)(s-c)} =\sqrt{13*3*3*7} =3\sqrt{91}$

Total surface area:

$S = 6*3\sqrt{91}+54\sqrt{3} =18\sqrt{91}+54\sqrt{3}$

Correct choice is B

3 0

1 year ago

Mr. Nelson is buying property in the shape of a triangle to build a new house. If the property costs $42.50 per square foot, how

julsineya [31]

First, you find the area of the figure. Use the formula a=h(b/2)

a=h(b/2)
a=47(98/2)
a=47(49)
a=2303

Now, you multiply that by $42.50 to find out how much he will pay.

2,303x42.50=97,877.50.

He will pay $97,877.50.

5 0

2 years ago

Read 2 more answers

Find the measured of the numbered angles in the rectangle. Geometry Chapter 7.4

stira [4]

Answer:

∠3 = 18°

∠4 = 144°

∠2 = 36°

∠1 = 72°

Step-by-step explanation:

From the concept of alternate interior angles,

∠3 = 18°

Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.

Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;

∠4 = 180 - 2(∠3)

∠4 = 180 - 2(18)

∠4 = 180 - 36

∠4 = 144°

∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)

∠2 = 180 - 144

∠2 = 36°

Like it was done for angle ∠4 above;

∠1 = (180 - 36)/2

∠1 = 144/2

∠1 = 72°

8 0

2 years ago