MATHEMATICS HIGH SCHOOL

In a circle, the circumference and diameter vary directly. Which of the following equations would allow you to find the diameter of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44?

Answers

Answer 1

Answer:

Answer:

$d=(7)/(22)* 154=49$

Step-by-step explanation:

Let circumference be C and diameter be d.

In a circle, the circumference and diameter vary directly that is

C = kd

You know that in a second circle the diameter is 14 when the circumference is 44.

C = kd

44 = k x 14

$k=(44)/(14)=(22)/(7)$

Circumference of unknown diameter circle = 154

$154=(22)/(7)d\n\nd=(7)/(22)* 154 = 49$

Answer 2

Answer: d=kC
Plug in what we know and solve for k:
14=k(44)
k=14/44

so
d=(14/44)(154)
x=49

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Jacob’s recipe calls for 4 7/8 cups of raisins. He has 6/11 of the amount that he needs.About how many cups of raisins does Jacob have?

Estimate by first rounding each number to the nearest 1/2.

A.4 cups

B.5 1/2

C.2 1/2

D.3 1/2

Answers

If you would like to know how many cups of raisins does Jacob have, you can calculate this using the following steps:

6/11 ... 1/2
4 7/8 cups ... 5 cups

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The correct result would be C. 2 1/2.

One of the angles formed by two intersecting lines is 30 degrees. What are the measures of the other three angles? please help im stuck on this one :(

Answers

Answer:

30, 150, and 150

Step-by-step explanation:

If you have two intersecting lines, there are going to be four angles that will all sum 360 degrees. The opposite angles will be identical. So, if you have one of the angles and it is 30 degrees, the opposite angle will be of 30 degrees as well. That adds 60 degrees, meaning that the remaining two angles will sum 300 degrees, and as they will also be identical, each will be of 150 degrees.

Which function is a quadratic function? c(x) = 6x 3x^3 d(x) = x – 8x^4 p(x) = –5x – x^2 k(x) = 2x^2 9x^4

Answers

The function that is a quadratic function is f(x)=-5x-x^2

Answer:

Step-by-step explanation:

Edge 2022

-3(10+4v)=-6(5-9v)

step-by-step pls

Answers

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(10+4v)=−6(5−9v)

Step 1: Simplify both sides of the equation.

−3(10+4v)=−6(5−9v)

(−3)(10)+(−3)(4v)=(−6)(5)+(−6)(−9v)(Distribute)

−30+−12v=−30+54v

−12v−30=54v−30

Step 2: Subtract 54v from both sides.

−12v−30−54v=54v−30−54v

−66v−30=−30

Step 3: Add 30 to both sides.

−66v−30+30=−30+30

−66v=0

Step 4: Divide both sides by -66.

−66v

−66

v=0

Answer:

omg im so sorry

Step-by-step explanation:

In a family with 2 children, excluding multiple births, what is the probability of having a boy and a girl in any order?75%
25%
50%
60%

Answers

50% because it can either girl or boy first. I hope i helped

50% because 100% divided by 2 children would be 50% per child.

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3. (4 points) Part B: Make tables to find the solution to 2−x = 4x + 3. Take the integer values of x only between −3 and 3. (4 points) Part C: How can you solve the equation 2−x = 4x + 3 graphically? (2 points) PLez Answer 50 points

Answers

Answer:

Step-by-step explanation:

Part A:

We have two lines: y = 2 - x and y = 4x + 3 . Given two equations that are both required to be true. The answer is the points where the lines cross, this means we have to make the equations equal to each other. It will look like this:

2 - x = 4x + 3

Part B:

In order to solve the equation we need to put the like terms together. So we will add x on each side.

2 - x = 4x + 3

+x +x

So now we get:

2 = 5x + 3

Now that x is on one side and is positive we will move 3 on the left side by subtracting it from each side.

2 = 5x + 3

-3 -3

So now we get:

-1 = 5x