3y-5x=15<br> Please help me! How do I do this if there is any and an x???

Student Practice: Follow the steps in the example.

Sergio039 [100]

Answer:

1) Option B - 25.12 ft

2) Option C - 24.1 ft

Step-by-step explanation:

1) Given : The circular rug has a diameter of 8.2 feet.

To find : Which measurement is closest to the circumference of the rug in feet?

Solution :

The circumference of rug is given by $C=\pi d$

Where, d is the diameter = 8.2 feet.

$C=3.14\times 8.2$

$C=25.748\ ft$

The most closest measurement is 25.12 ft.

Therefore, option B is correct.

2) Given : A circle has a diameter of 5.2 feet.

To find : Which measurement is closest to the circumference of the circle in feet?

Solution :

The circumference of circle is given by $C=\pi d$

Where, d is the diameter = 5.2 feet.

$C=3.14\times 5.2$

$C=16.328\ ft$

The most closest measurement is 24.1 ft.

Therefore, option C is correct.

7 0

3 years ago

How to find the hypothesis

Kaylis [27]

Answer:

You dont need to

Step-by-step explanation:

A hypothesis is just a guess, so you cant be wrong

5 0

3 years ago

Read 2 more answers

One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air

Lisa [10]

Answer:

$P(A) = 0.45$

$P(B) = 0.32$

Step-by-step explanation:

Given

$P(A) > P(B)$

$P(A\ u\ B) = 0.626$

$P(A\ n\ B) = 0.144$

Required

Find P(A) and P(B)

We have that:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

and

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

The equations become:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

$0.626 = P(A) + P(B) - 0.144$

Collect like terms

$P(A) + P(B) = 0.626 + 0.144$

$P(A) + P(B) = 0.770$

Make P(A) the subject

$P(A) = 0.770 - P(B)$

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

$0.144 = P(A) * P(B)$

$P(A) * P(B) = 0.144$

Substitute: $P(A) = 0.770 - P(B)$

$[0.770 - P(B)] * P(B) = 0.144$

Open bracket

$0.770P(B) - P(B)^2 = 0.144$

Represent P(B) with x

$0.770x - x^2 = 0.144$

Rewrite as:

$x^2 - 0.770x + 0.144 = 0$

Expand

$x^2 - 0.45x - 0.32x + 0.144 = 0$

Factorize:

$x[x - 0.45] - 0.32[x - 0.45]= 0$

Factor out x - 0.45

$[x - 0.32][x - 0.45]= 0$

Split

$x - 0.32= 0 \ or\ x - 0.45= 0$

Solve for x

$x = 0.32\ or\ x = 0.45$

Recall that:

$P(B) = x$

So, we have:

$P(B) = 0.32 \ or \ P(B) = 0.45$

Recall that:

$P(A) = 0.770 - P(B)$

So, we have:

$P(A) = 0.770 - 0.32 \ or\ P(A) =0.770 - 0.45$

$P(A) = 0.45 \ or\ P(A) =0.32$

Since:

$P(A) > P(B)$

Then:

$P(A) = 0.45$

$P(B) = 0.32$

6 0

3 years ago

PLEASE HELP!!!!!!!

Wewaii [24]

Angles I and L are congruent!

5 0

3 years ago

Read 2 more answers

PLS HELP!! WILL GIVE YOU BRAINLEST

prisoha [69]

Answer:

y=0x+3

y=3x-11

2,11

Step-by-step explanation:

This is the answer I know. let me know if I'm wrong

6 0

3 years ago

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3y-5x=15 Please help me! How do I do this if there is any and an x???