simplest form of 45/120

Answer:

6 is the answer.

Step-by-step explanation:

Using PEMDAS, let's solve.

Therefore, 6 is the answer.

Hoped this helped.

The height and width of the outline (perimeter) of the mirror, as well as the

center in relation to the plane of the edges are given.

[tex]\displaystyle The \ mirror \ can \ be \ \mathbf{ represented} \ by \ the \ equation; \underline{\frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Reasons:

Width of the elliptical mirror = 20 inches

Height of the elliptical mirror = 24 inches

Center of the ellipse = (0, 60)

The equation of an ellipse is;  [tex]\displaystyle \mathbf{\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2}} = 1[/tex]

Where;

(h, k) = Coordinates of the center;

a = Semi major axis

b = Semi minor axis

In the mirror, we have;

(h, k) = (0, 60)

a = 24 ÷ 2 = 12

b = 20 ÷ 2 = 10

Which gives;

[tex]\displaystyle \frac{(x - 0)^2}{10^2} + \frac{(y - 60)^2}{12^2} = \frac{x ^2}{100} + \frac{(y - 60)^2}{144} = \mathbf{\frac{(y - 60)^2}{144} + \frac{x^2}{100}} = 1[/tex]

Therefore;

[tex]\displaystyle The \ equation \ that \ represent \ the \ mirror \ is; \underline{ \frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

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Answer:

The answer is 3  3/4 I think

Step-by-step explanation:

Answer:

solution here

length

c=170

a=162

b=177

perimeter=?

now,

perimeter of triangle = a+b+c

=170+162+177

=511

perimeter=511 cm

perimeter = length of fence

therefore,the fence should be 511 cm long.

The length of the fence needed would be 509 meters.

Given is that a city park is in the shape of a triangle where the sides have lengths 170 m, 162 m, and 177 m.

The length of the fence needed would be the perimeter of the triangle. We can write the perimeter of the triangle as -

P = sum of the side lengths

P = 170 + 162 + 177

P = 509 meters

Therefore, the length of the fence needed would be 509 meters.

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Answer:

1000

Step-by-step explanation:

Answer:

100000

Step-by-step explanation:

Answer:

112.81 miles

Step-by-step explanation:

304.6 divided by 2.7

Answer:

12.56

Step-by-step explanation:

87.95 divided by 7

Step-by-step explanation:

Total amount of flour = 87.95lbs

Amount of flour in each jar = 87.95 ÷ 7 = 12.56

Answer:

$7.6965 or $7.70

Step-by-step explanation:

We multiply the price by the amout he bought.

0.75 x 112 = 84 or $8.40

This is how much he would have paid without a discount. To find the discount we multiply the initial amount by the discount percent in decimal form.

8.4 x 0.08375 = 0.7035

This is the amount thay will be subtracted from the initial price.

8.4 - 0.7035 = 7.6965 or $7.70

Answer:

The answer is A. Hope this helped!!!!!!

Answer:

answer C because is x is input and is multiplied by 3 so the function would have been y=3x so that is C

We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458

If we assume that the selection is totally random, then all the students have the same probability of being chosen.

This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:

P = 11/16

For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).

Q = 10/15

The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:

Probability = P*Q = (11/16)*(10/15) = 0.458

So the probability that both students chosen for the duet are boys is 0.458

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Answer:

bc=10

Step-by-step explanation:

12/bc=18/(33-18)

12/bc=18/15

18bc=12*15

18bc=180

bc=180/18

bc=10

Answer:

Betty had 45 minutes to take her test in mixed number form it is

Step-by-step explanation:

1 hour

1/4 an hour = 15 minutes

1/2 an hour is 30 minutes

1 hr 15- 30= 45

45= 3/4 of and hour remaining to test

Answer:

7.8

Step-by-step explanation:

subtract 85 - 77.2

Answer: I'm assuming it's 20/900 because there is 900 songs in total.

Step-by-step explanation:

The probability that your favorite song is one of the 20 songs you hear that night is 1/900.

To find the probability that your favorite song is one of the 20 songs you hear that night, we can use the concept of probability.

The total number of songs in the karaoke song book is 900. Since each song is equally likely to be picked, the probability of randomly selecting your favorite song from the entire song book is 1 out of 900, or 1/900.

Now, you will hear a total of 20 songs that night. Out of those 20 songs, you want to know the probability that your favorite song is one of them. Since there is only one favorite song, the favorable outcomes are 1.

Therefore, the probability that your favorite song is one of the 20 songs you hear that night is:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

Probability = 1 / 900

So, the probability that your favorite song is one of the 20 songs you hear that night is 1/900.

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first graph= negative association

second graph = no association

third graph = positive association

56566965577553666645556566667

Answer:

The equation would be y=2x+3 I am pretty sure

Step-by-step explanation:

This is because you take the slope which is 2 from the line y=-1/2x-6. To find the slope perpendicular to the line, you need to find the exact opposite of the slope: -1/2, and in this case, it would be 2.

(Ex: if it was -3/4, you would need to use a slope of 4/3 since it is the opposite)

Then you take that slope (2) and the point (0, 3) and put it into "y-y1=m(x-x1)"

y-y1=m(x-x1)

y-3=2(x-0)

-distribute the 2-

y-3=2x-0

-add 3 on both sides-

so equation would be y=2x+3

Not sure if this is all correct, but I hope it helps! :)

Step-by-step explanation:

(2x³y^-4)^-2 = 1/(4x⁶y^‐8) = y⁸/(4x⁶)

1/(8x⁵y^-7) = y⁷/(8x⁵)

4x^-9y⁴ = 4y⁴/x⁹

so, the whole expression is then

y⁸/(4x⁶) × y⁷/(8x⁵) × 4y⁴/x⁹

4y¹⁹/(32x²⁰) = y¹⁹/(8x²⁰)

so, D is the correct answer.

Sample mean : \overline{x}=10.6x=10.6

Standard deviation : s=1.7s=1.7

Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05

Critical value : z_{\alpha/2}=1.96

Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)

Answer:

what about the integrated project please

Answer:

a

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.shshs

Answer: They are inverses of each other

============================================================

Explanation:

We need to check two things:

If both of those equations are true, then f and g are inverses of each other.

----------------

Part 1

[tex]f(x) = -3x-12\\\\f(g(x)) = -3( g(x) )-12\\\\f(g(x)) = -3\left( \frac{-12-x}{3} \right)-12\\\\f(g(x)) = 12+x-12\\\\f(g(x)) = x\\\\[/tex]

So far, so good. Now we need to check the other equation mentioned.

------------------

Part 2

[tex]g(x) = \frac{-12-x}{3}\\\\g(f(x)) = \frac{-12-( f(x) )}{3}\\\\g(f(x)) = \frac{-12-( -3x-12 )}{3}\\\\g(f(x)) = \frac{-12+3x+12}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\[/tex]

That works out as well. Both equations mentioned are true, which confirms the two original functions are inverses of one another.

Step-by-step explanation:

The rule is to add 5 to each number to make next number

1 4 9 16 21 26 31 36 41

Step-by-step explanation:

absolutely. there is no mathematical problem to solve.

just do what the instructions tell you.

that is an exercise for you to get a feeling what is what.

Answer:

I think the answer is c now I'm using words to meet the 20 character minimum