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LUCKY_DIMON [66]
3 years ago
15

Dina and Masha started out on a 12 mi bike path at the same time. When Dina reached the end of the 12 mi, Masha still had 3 mi l

eft to bike. If Dina’s biking speed is 8 mph, find Masha’s biking speed.
Mathematics
2 answers:
andrew11 [14]3 years ago
7 0

Answer:

6mph

Step-by-step explanation:

Anna35 [415]3 years ago
6 0

Answer:

6 mph

Step-by-step explanation:

Use formula

D=r\cdot t,

where

D = distance

r = rate

t = time

In your case,

D = 12 mi

<u>Dina:</u>

D = 12 mi

r = 8 mph

t = ?

So,

12=8t\\ \\t=\dfrac{12}{8}=\dfrac{3}{2}=1.5\ hours

<u>Masha:</u>

D = 12 - 3 = 8 mi

r = ?

t = 1.5 hours

Then

9=1.5r\\ \\r=\dfrac{9}{1.5}=\dfrac{90}{15}=6\ mph

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The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h
Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

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The length of the longer side is

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7 0
3 years ago
What is the value of x that makes the given equation true?
Doss [256]
Hello there!

The correct answer is C

-----------------------------

x - 3x = 2(4 + x)
Distribute the right side
x - 3x = (2)(4)+(2)(x)
x - 3x = 8 + 2x
Combine like terms
x - 3x - 2x = 8
-4x = 8
Divide both sides by -4
-4x/4 = 8/4
x = -2

Hence,
The correct answer is c

Have a nice day!
6 0
3 years ago
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Find the values of the variables in the parallelogram. The diagram is not to scale.
monitta

Answer:

Step-by-step explanation:

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3 years ago
20 fish are in a bowl 8 die three swim away and six drown how many arein the bowl?
BaLLatris [955]
20-8=12
12-3=9
9-6=3
3 fish are in a bowl.
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7 0
3 years ago
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What is the experimental probability
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