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Wewaii [24]
2 years ago
13

Carmen rides her bicycle at a constant rate to the market. When she rides her bicycle back home along the same route, she bikes

at three-quarters the rate she biked to the market. At any given time, t, the distance biked can be calculated using the formula d = rt, where d represents distance and r represents rate. If the trip home takes 12 minutes longer than the trip to the market, how many minutes does it take Carmen to bike home?
Mathematics
1 answer:
sergij07 [2.7K]2 years ago
6 0
Rate is equal to distance per time. Going to the market, the equation is: R = D/T going back home, the rate is (¾)R, therefore the equation is: (¾)R = D/(T + 12) Since the distance is the same for both cases, equate the equations RT = (3/4)R (T + 12) T=(3/4)(T + 12) (1/4)T = 9 T = 36 T+12 = 48 It takes Carmen 48 minutes to bike home.
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When planning a party you want to know whom to invite. Among the people you would like to invite are three touchy friends.You kn
harkovskaia [24]

Answer:

Jasmine only.

Jasmine and Kanti only.

No one.

Step-by-step explanation:

There is no possible way to invite all three friends.

Since both Samir and Kanti will not attend if someone else is not invited, Jasmine is the only friend that can be invited on her own:

One person: Jasmine.

When inviting two people, if Jasmine is invited, Samir can't be invited and Kanti will only attend if Jasmine also does. Therefore, Jasmine and Kanti can go together and there is no way Kanti can be invited.

Two people: Jasmine and Kanti.

Furthermore, if nobody is invited, no one will be unhappy.

5 0
2 years ago
Major arc CBD measures 300°Which is the radian measure of its corresponding central angle?
ella [17]

This question is not complete.

Complete Question

Major arc CBD measures 300°. Which is the radian measure of its corresponding central angle?

a)4pi/3 radians

b) 5pi/6 radians

c) 5pi/3 radians

d) 11pi/6 radians

Answer:

c) 5pi/3 radians = 5π/3 radians

Step-by-step explanation:

The corresponding central angle can be defined as the angle that is formed when there is a joining together of two radii at the center of the circle.

The circumference of a circle is given as

360° = 2πr

The major arc CBD is 300°

Therefore,

360° = 2πr , radius is not given hence , 360° = 2π

300° = Y (Unknown)

Cross multiply

360Y= (300× 2π)

Y = 600π ÷ 360

Y = (5π÷ 3) radians

Y = 5π/3 radians

Hence the radian measure for the corresponding angle is = 5π/3 radians

8 0
2 years ago
Read 2 more answers
The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
2 years ago
How many significant figures does 0.0560
Sliva [168]
3 significant figures..the zeros are non-significant
5 0
2 years ago
Read 2 more answers
A maple syrup company is making a new label for its barrels of syrup. If the barrels are 5 feet tall and have a radius of 2 feet
Elanso [62]

Answer:

(A)62.8 square feet

Step-by-step explanation:

Height of the barrels = 5 feet

Radius of the barrels= 2 feet

\pi=3.14

The barrel is in the shape of a cylinder and the area of the label the company needs is that of the round sides(curved surface area) of the cylinder.

Curved Surface Area of a Cylinder=2\pi rh

=2X3.14X2X5

=62.8 square feet

The company need 62.8 square feet of label.

7 0
2 years ago
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