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2 years ago

Samuel has a collection of toy cars. His favorites are the 27 red ones, which make up 60% percent of his collection.

2 answers:

5 0

27/60 = 0.45/1%
0.45 x 100 = 45

Samuel has a total of 45 cars, 60% of the total cars are red. Which is 27 red, and 45 total cars.

frozen [14]2 years ago

5 0

Answer:

there for the answer is C=45

Step-by-step explanation:

The 27 red cars make up 60% of the total collection, here is the equation

to be solved:

27 = 60% of C C is the total cars in the collection

27 = .60 C

27 / .60 = C

45 = C

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Part B if the height of each prism is 10 Cm what is the surface area prism

Evgen [1.6K]

Answer:

Prism A:

$Area = 288cm^2$

Prism B:

$Area =250cm^2$

Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

and

$s = \frac{a + b + c}{2}$

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

$s = \frac{24}{2}$

$s = 12$

Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

$A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}$

$A_b = \sqrt{576}$

$A_b = 24$

So:

$Area = 2 * A_b + (a + b + c) * h$

$Area = 2 * 24 + (8 + 6 + 10) * 10$

$Area = 288cm^2$

Prism B is a rectangular prism. So, the area is calculated as:

$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

$h =10$

So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

$Area =250cm^2$

7 0

2 years ago

Solve for the value of k. (k+8) 400

pashok25 [27]

Answer:

value of k = 6

Step-by-step explanation:

sum of all angles forming a straight line = 180°

so,

7k + 8 + 90 + 40 = 180
7k + 138 = 180
7k = 180 - 138
7k = 42
k = 42/7
k = 6

hence the value of k = 6

3 0

3 years ago

The length of a rectangle is 5.5 feet. If the area is 44 square feet, what is the width of the rectangle, in feet?

vlabodo [156]

So area is length times width therefore
A=LW
44ft^2=5.5W
divide both sides by 5.5
44/5.5=Width=8 feet

7 0

2 years ago

Read 2 more answers

Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each co

Karolina [17]

Hello There!

n - d = 0

5n+10d = 90

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

n-d = 0

n+2d = 18

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

Subtract and solve for "d":

3d = 18

d = 6 (# of dimes)

n = d = 6 (# of nickels)

8 0

3 years ago

A plumber charges $17 to visit a client's home, plus an additional $36 per hour. What is the

larisa86 [58]

Answer:

I believe the duration for $89.00 is 2 hours

Step-by-step explanation:

We start off with the $17 dollars and calculate 36.00+36.00 for a total of $89. Therefore, (120 mins)/60=2 hours.

3 0

3 years ago

Read 2 more answers