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Slav-nsk [51]
4 years ago
13

A rock climber averages 12 3/5 feet per minute. Write and solve an equation to find how many feet x the rock climber climbs in 3

0 minutes.
An equation is______=1235.

The rock climber climbs_______feet in 30 minutes.
Mathematics
1 answer:
Nikolay [14]4 years ago
6 0
Set up a proportion. If 12 3/5 feet can be traveled in one minute, then make that a fraction. 12 3/5 over one equals X over 30. Cross multiply 12 3/5×30 equals 1 X and solve.
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What is the correct answer to this
igomit [66]

Answer:

Perimeter = 9700 cm

Step-by-step explanation:

Dimensions of sides are;

12, 2x, 12, 5, 5, circumference of semi circle

Now, the semi circle has a radius of 7. Thus, the diameter = 7 × 2 = 14

We see that x is the diameter. Thus, x = 14

Thus; base of trapezium that is 2x = 2 × 14 = 28

Also, circumference of semi circle = 2πr = 2π × 7 = 44

Thus;

Perimeter of shape = 12 + 2(14) + 12 + 5 + 5 + 44

Perimeter = 97 m

Converting to cm, we multiply by 100 to get;

Perimeter = 97 × 100 cm

Perimeter = 9700 cm

8 0
3 years ago
Huck and Jim are waiting for a raft. The number of rafts floating by over intervals of time is a Poisson process with a rate of
Harrizon [31]

Answer: 0.0081

Step-by-step explanation:

Let X be the number of rafts.

Given : The mean number of rafts floating : \lambda=0.4 rafts per day .

Then , for 7 days the number of rafts = \lambda_1=\lambda\times 7=0.4\times7=2.8 rafts per day .

The formula to calculate the Poisson distribution is given by :_

P(X=x)=\dfrac{e^{-\lambda_1}\lambda_1^x}{x!}

Now, the  probability that they will have to wait more than a week is given by :-

P(X>7)=1-P(X\leq7)\\\\=1-(P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(5)+P(6)+P(7))\\\\=1-(\dfrac{e^{-2.8}2.8^{0}}{0!}+\dfrac{e^{-2.8}2.8^{1}}{1!}+\dfrac{e^{-2.8}2.8^{2}}{2!}+\dfrac{e^{-2.8}2.8^{3}}{3!}+\dfrac{e^{-2.8}2.8^{4}}{4!}+\dfrac{e^{-2.8}2.8^{5}}{5!}+\dfrac{e^{-2.8}2.8^{6}}{6!}+\dfrac{e^{-2.8}2.8^{7}}{7!})\\\\=1-0.991869258012=0.008130741988\approx0.0081

Hence, the required probability : 0.0081

4 0
3 years ago
Simplify the expression explain each step. 10+(2+y)
GenaCL600 [577]

Answer:

y + 12

Step-by-step explanation:

1. remove parentheses.

10 + 2 + y

2.collect like terms.

y + ( 10 + 2)

3. simplify.

y + 12

Therefor, the answer is. y + 12

5 0
3 years ago
A car is on sale for £3825. The salesman says this is 15% off the original price. Work out the original price.
shusha [124]

15% off means the sale price is 85% of the original price.


Divide the sale price by the percent of original price:


3825/0.85 = 4,500


answer : £4,500

7 0
2 years ago
Read 2 more answers
Tarik filled his tank with 11 gallons of
kompoz [17]
I think the answer is he payed $3.40
3 0
2 years ago
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