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3 years ago

13

A factory takes 5 days to make 600 cars. At this rate, how many days should the factory take to make 1800 cars? A. 3 B. 5 C. 10

D. 15

2 answers:

laiz [17]3 years ago

8 0

It would take 15 days to make 1800 cars

MAVERICK [17]3 years ago

4 0

D 15 because 5x3 =15 and if you do 600 x 3 = 1800 or 1800/3=600

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What is the area of this figure? Round to the tenth if necessary.

Julli [10]

Answer:

<h3>b) 850.1 centimeters.</h3>

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

$a=\pi r^2/2$

<u>3.14 will be used for pi!</u>

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

$a=lw$

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

$32/2=16$

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

$\pi 16^2/2=401.92$

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

$14*32=448.$

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

$401.92+448$

$=849.92$

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

3 0

2 years ago

Which number is missing from the following prime factorization expression? 792 = __ x 2 x 2 x 2 x 3 x 11 A. 2 B. 3 C. 5 D. 7

lions [1.4K]

Answer:

3

Step-by-step explanation:

Evaluate 2 x 2 x 2 x 3 x 11 (better written as 2·2·2·3·11, because "x" is a variable name, not a math operator).

2·2·2·3·11 = 8·33 = 264

Then divide 792 by this 264 to find the final factor:

final factor = 792/264 = 3

Then the prime factorization of 792 is 2·2·2·3·3·11

which we obtained by multiplying 2 x 2 x 2 x 3 x 11 by 3.

7 0

2 years ago

Read 2 more answers

Which of the following is the quotient of the rational expressions shown here?

svetoff [14.1K]

For this case we must find the quotient of the following expression:

$\frac {\frac {x} {x-1}} {\frac {1} {x + 1}}$

Applying double C we have the following expression:

$\frac {x (x + 1)} {x-1} =$

Applying distributive property to the terms within the parentheses of the numerator we have:

$\frac {x ^ 2 + x} {x-1}$

Thus, the quotient is given by option A

Answer:

Option A

3 0

2 years ago

Read 2 more answers

What about this one ??

V125BC [204]

The first expression is equivalent to B

The second expression is equivalent to A

The third expression is equivalent to C

You are basically adding like terms. For example for the first expression, it is 7x^2 + 2x^2, which equals 9x^2. Remember since you're adding, do not add the exponents.

4 0

2 years ago

DATA ANALYSIS AND STATISTICSProbabilities involving two rolls of a dieAn ordinary (falr) die is a cube with the numbers 1 throug

Zepler [3.9K]

Solution

The table below is the required sample space of the to fair die

From the above table

The sample space contain 36 outcomes

Event A: The sum is greater than 9

we will look at the table and count all the elements that are greater than 9

There are 6 elements (they are 10, 10, 10, 11, 11, 12 from the table)

The probability for event A will be

$\begin{gathered} p(A)=\frac{\text{required outcome}}{\text{total outcome}} \\ p(A)=\frac{6}{36} \\ p(A)=\frac{1}{6} \end{gathered}$

P(A) = 1/6

Event B: The sum is an even number.

We will look at the table and count the number of elements that are even

There are 18 elements (notice that there are 3 even number on each of the 6 rows of the table)

The probability for event B will be

$\begin{gathered} p(B)=\frac{\text{required outcome}}{\text{total outcome}} \\ p(B)=\frac{18}{36} \\ p(B)=\frac{1}{2} \end{gathered}$

p(B) = 1/2

5 0

10 months ago