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2 years ago

6

Evan made origami cranes with red, blue, and yellow paper. The number of cranes in each color is the same. If there are 342 cran

es, how many of them are blue or yellow?

2 answers:

Murrr4er [49]2 years ago

7 0

114 is th answer ;) ;)

Reptile [31]2 years ago

6 0

If there are 342 cranes and they are the exact number of cranes in each color. Each color would have 114 cranes because 342 ÷ 3 = 114.

342 cranes ÷ 3 colors = 114 cranes in each color.

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Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour. Use the

avanturin [10]

<h3>It costs $ 22.5 for mike and his friend to rent paddle board for 3 hours</h3><h3>Mike has $ 2.5 remaining after rental</h3>

<em><u>Solution:</u></em>

Given that,

Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours

Each paddleboard rental costs $3.75 per hour

So there are two persons = mike and his friend

1 hour = $ 3.75

Therefore, for 3 hours:

$3 \times 3.75 = 11.25$

<em><u>Thus for two person:</u></em>

11.25 + 11.25 = 22.5

Thus it costs $ 22.5 for mike and his friend to rent paddle board for 3 hours

Remaining amount = 25 - 22.5 = 2.5

Thus Mike has $ 2.5 remaining after rental

4 0

2 years ago

A water trough has two congruent isosceles trapezoids as ends and two congruent rectangles as sides.

BlackZzzverrR [31]

Answer:

Part a) The exterior surface area is equal to $160\ ft^{2}$

Part b) The volume is equal to $240\ ft^{3}$

Part c) The volume water left in the trough will be $84\ ft^{3}$

Step-by-step explanation:

Part a) we know that

The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles

so

<em>Find the area of two rectangles</em>

$A=2[12*5]=120\ ft^{2}$

<em>Find the area of two trapezoids</em>

$A=2[\frac{1}{2}(8+2)h]$

Applying Pythagoras theorem calculate the height h

$h^{2}=5^{2}-3^{2}$

$h^{2}=16$

$h=4\ ft$

substitute the value of h to find the area

$A=2[\frac{1}{2}(8+2)(4)]=40\ ft^{2}$

The exterior surface area is equal to

$120\ ft^{2}+40\ ft^{2}=160\ ft^{2}$

Part b) Find the volume

We know that

The volume is equal to

$V=BL$

where

B is the area of the trapezoidal face

L is the length of the trough

we have

$B=20\ ft^{2}$

$L=12\ ft$

substitute

$V=20(12)=240\ ft^{3}$

Part c)

<em>step 1</em>

Calculate the area of the trapezoid for h=2 ft (the half)

the length of the midsegment of the trapezoid is (8+2)/2=5 ft

$A=\frac{1}{2}(5+2)(2)=7\ ft^{2}$

<em>step 2</em>

Find the volume

The volume is equal to

$V=BL$

where

B is the area of the trapezoidal face

L is the length of the trough

we have

$B=7\ ft^{2}$

$L=12\ ft$

substitute

$V=7(12)=84\ ft^{3}$

4 0

2 years ago

Two vehicles are driving along a straight roadway at a constant speed. At a certain point in time, a car is 1.2 miles away from

Maurinko [17]

Answer:

The expression for the total distance between the car and the landmark in terms of the number of hours spent driving is given as follows;

1.2 = 65 × t

Where t = 1.2/65 = 0.0185 h = 66.46 seconds

Step-by-step explanation:

The parameters given are;

Distance, d between car and landmark = 1.2 miles

Speed of car = 65 miles/hr

Distance between truck and landmark = 0.7 miles

Speed of car = 55 miles/hr

The expression for the total distance between the car and the landmark as a function of time t is given as follows;

Distance, d = Speed, v × Time, t

Therefore, the expression for the total distance between the car and the landmark in terms of the number of hours spent driving is given as follows;

1.2 = 65 × t

Where t = 1.2/65 = 0.0185 h = 66.46 seconds.

7 0

2 years ago

In the United States, 75 percent of adults wear glasses or contact lenses. A random sample of 10 adults in the United States wil

V125BC [204]

Answer:

0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.

Step-by-step explanation:

We are given the following information:

We treat adult adults wear glasses or contact lenses as a success.

P(Adults wear glasses or contact lenses) = 75% = 0.75

Then the number of adults follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(fewer than 8 of the selected adults wear glasses or contact lenses)

$P(x < 8)\\=1 - P(x = 8) - P(x = 9) - P(x = 10)\\=1 - \binom{10}{8}(0.75)^8(1-0.75)^2 - \binom{10}{9}(0.75)^9(1-0.75)^1- \binom{10}{10}(0.75)^10(1-0.75)^0\\=1 - 0.2815-0.1877-0.0563\\= 0.4745$

0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.

4 0

2 years ago

The regular octagon has a perimeter of 122.4 cm. A regular octagon with a radius of 20 centimeters and a perimeter of 122.4 cent

Mamont248 [21]

A C and E

Step-by-step explanation:

I took the test

6 0

2 years ago

Read 2 more answers