estion 15 of 20 : Select the best answer for the question. 15. In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 9.42 centimeters?

Answers

Answer 1

Answer: We have to calculate the size of a buttonhole if we know that it needs to be the size of the button`s diameter. We know also a circumference of the button: C = 9.42 cm. Formula for calculating the circumference is: C = 2 * r * Pi = d * Pi. Pi is approximately 3.14. So 9.42 = d * 3.14; d = 9.42 : 3.14; d = 3 cm. Answer: The size of the buttonhole has to be 3 cm.

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Which one of the following equations illustrates the commutative property?A) 8 + 3 = 4 + 7
B) If 3 + 5 = a, then a=3+5
C) 2 + b = b + 2
D) 3(2 + 5) = 6 + 15

Answers

Answer:

C) $2 + b = b + 2$

Step-by-step explanation:

We are supposed to find which equations illustrates the commutative property.

Commutative property : The "Commutative Laws" say we can swap numbers over and still get the same answer i.e.

$a+b=b+a$

Substitute a =2

So, $2+b=b+2$

So, Option C satisfies the law

Option A , B and D does not satisfies the law .

Only Option C is true .

$2 + b = b + 2$

It's C). 2+b=b+2

HOPE THIS HELPS!!!!

The sixth graders at jenna's school got to visit either the science museum or the history museum. 32 students picked the science museum and 16 picked the history museum. What is the ratio of the number of sixth graders who visited the history museum to the number of sixth graders who visited the science museum?

Answers

The ratio of the number of sixth graders who visited the history museum to the number of sixth graders who visited the science museum is 2 : 1.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The sixth graders at Jenna's school got to visit either the science museum or the history museum. 32 students picked the science museum and 16 picked the history museum.

∴ The ratio of the number of sixth graders who visited the history museum to the number of sixth graders who visited the science museum

History museum : Science museum = 32 : 16.

History museum : Science museum = 2 : 1.

For every 2 students go to the science museum, 1 student goes to the history museum.

learn more about proportion here :

brainly.com/question/7096655

#SPJ5

Answer:

The ratio is 16:32 or 1:2. this is because 16 times 2 is 32.

Hope this helped! Please mark me brainliest if I am correct! Thank you and have a great day!

Step-by-step explanation:

Find the area of the polygon with vertices
A(0,5), B(0,2), C(-3,2), and D(-3,5)?

Answers

Answer: 9

Step-by-step explanation:

assuming that each box is 1 square inch then, you would get 9 square inches.

0,5 go down three to get 0,2

0,2 go left three to get -3,2

-3,2 go up three to get -3,5

-3,5 go right three to get 0,5

so you end up with a 3-by-3 box

Factor the following trinomial by grouping

9x^3+30x^2+24x

Answers

Factor

9x3+30x2+24x
9x3+30x2+24x
=3x(3x+4)(x+2)

$9x^3+30x^2+24x \n \n gcf = 3x \n \n 3x ( (9x^3)/(3x) + (30x^2)/(3x) + (24x)/(3x) ) \n \n 3x(3x^2 + 10x + 8) \n \n 3x ( 3x^2 + 6x + 4x + 8) \n \n 3x(3x(x + 2) + 4(x + 2)) \n \n 3x(x + 2)(3x + 4) \n \n$

The final result is: 3x(x + 2)(3x + 4).

Athena priced each of her art pieces at the same price and displayed them for sale in two different art shows. She made $495.80 from the first art show and $371.85 from the second show. If Athena sold 7 pieces of art, what price did each piece sell for?

Answers

In the question "Athena priced each of her art pieces at the same price and displayed them for sale in two different art shows. She made $495.80 from the first art show and $371.85 from the second show. If Athena sold 7 pieces of art, what price did each piece sell for?" To get the price that each piece of art sells for: Total sales made from selling 7 pieces of art = $495.80 + $371.85 = $867.65 The price for each piece of art = $867.65 / 7 = $123.95 Thus each piece of art sells for $123.95 and hence the correct answer.

Answer:

$123.95

Step-by-step explanation:

Select the correct answer.Which logarithmic equation is equivalent to this exponential equation?
12=5^x

A. x=log↓12 5
B. x=log↓5 12
C. 5=log↓x 12
D. 12=log↓5 x

Answers

Answer: To convert the exponential equation 12=5^x to a logarithmic equation, we can use the following formula:

logb(x) = y

is equivalent to

b^y = x

where b is the base of the logarithm.

In this case, we have:

5^x = 12

which is equivalent to:

log5(12) = x

Therefore, the answer is A. x=log↓12 5.

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