MATHEMATICS COLLEGE

8(13 + 2y)Which expression is equivalent to the expression above?
13 + 16y
B
16 + 104y
C
104 + 16y
D.
104 + 2y

Answers

Answer 1
Answer: It’s answer C. You multiply 8 & 13, which will give you 104. Then, multiply 8 & 2y, which will also give you 16y.
Answer 2
Answer:

Answer:

c

Step-by-step explanation:

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A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 141 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)
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A rectangle is inscribed in a circle.Calculate the area of the circle. Use 3.14 for π. Round to the nearest hundredth.

1___ Square centimeters

2 Calculate the area of the rectangle.

3. Calculate the area of the shaded region. Use 3.14 for π. Round to the nearest hundredth.

Answers

Answer:

1. The area of the circle is 132.67 square centimeters

2. The area of the rectangle is 60 square centimeters

3. The area of the shaded region is 72.67 square centimeters

Step-by-step explanation:

* Lets explain how to solve the problem

- A rectangle is inscribed in a circle, that means the vertices of the

 rectangle lie on the circumference of the circle

∴ The diagonal of the rectangle = the diameter of the circle

- From the attached figure

∵ The diameter of the circle = 13 cm

∵ The radius of the circle is half the diameter

∴ The radius of the circle = 1/2 (13) = 6.5 cm

- The area of the circle = πr²

∵ π = 3.14

∴ The area of the circle = 3.14 × (6.5)²  = 132.67 cm²

1. The area of the circle is 132.67 square centimeters

- The area of any rectangle = length × width

∵ The length of the rectangle is 12 cm

∵ The width of the rectangle is 5 cm

∴ The area of the rectangle = 12 × 5 = 60 cm²

2. The area of the rectangle is 60 square centimeters

- The area of the shaded region is the difference between the

  area of the circle and the area of the rectangle

∵ The area of the circle = 132.67 cm²

∵ The area of the rectangle = 60 cm²

∵ The area of the shaded region = area of circle - area of rectangle

∴ The area of the shaded region = 132.67 - 60 = 72.67 cm²

3. The area of the shaded region is 72.67 square centimeters

What is the answer to a10/a3 ?

Answers

Answer:

a^7

Step-by-step explanation:

(a^(10))/(a^3)\n\n\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)=x^(a-b)\n(a^(10))/(a^3)=a^(10-3)\n\n=a^7

Please help will give brainliest

Answers

Answer:

I'm not completely sure but i'm going to guess on D the domain is 1 < f < 7, the range is 24 < c(f) < 168

Step-by-step explanation:

because 1 cup is < to a cup of Flour (f), and the expression says 7 cups in total so i f is less than or equal to the total number of cups 7. then the range says c(f)=24(f), meaning you get 24 cookies for the input amount "f" of cups of flour. So the range would be 24 is grater of equal to the c(f)which in total (7 x 24) is equal to 168

A local department store sells carpet in 4 sizes . Each carpet comes in 3 different qualities. One of the size come in 5 colors . The other sizes come in 3 colors . How many choices of carpet are there?

Answers

The total number of choices is 42 if a local department store sells carpets in 4 sizes. Each carpet comes in 3 different qualities. One of the sizes comes in 5 colors.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

A local department store sells carpets in 4 sizes.

Each carpet comes in 3 different qualities.

One of the sizes comes in 5 colors.

The other sizes come in 3 colors.

The number of choices can be found as follows:

= 1x3x5

= 15

= 3x3x3

= 27

Total number of choices = 15 +27

= 42

Thus, the total number of choices is 42 if a local department store sells carpets in 4 sizes. Each carpet comes in 3 different qualities. One of the sizes comes in 5 colors.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ2
there are 60 choices of carpet

reason:
4*3*5
12*5
=60
or
4*3*5
4*15
=60

Twenty air-conditioning units have been brought in for service. Twelve of them have broken compressors, and eight have broken fans. Seven units are chosen at random to be worked on. What is the probability that three of them have broken fans

Answers

Answer: 0.3576

Step-by-step explanation:

Let the probability that the units that have broken fans from the seven units chosen at random be x.

The probability that three of them have broken fans will be 0.3576. Check the attachment for details

What does (2,7) look like on the coordinate plane.

Answers

Answer: from (0,0) (2,7) is 2 right from (0,0) and 7 up from (2,0)

Step-by-step explanation: go right 2 and 7 up

Answer:

okay so your coordiantes are in the form of (x,y) on a graph.You start at the origin and go to the right 2 units and up 7 units.

Step-by-step explanation:

Hope this helps!
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