What fraction of one hour (60 minutes) is represented by the following numbers of minutes? Simplify each fraction whenever possible. A sketch of a clock might help you
15 minutes =
20 minutes =

Answer:

Step-by-step explanation:

Because you have a parallelogram, the two angles shown are "same side interior angles" which means they add up to 180°.

We would say that they are supplementary (they add up to 180°)

So add them together and set them equal to 180°

(4x+18) + (8x+30) = 180°

This is all adding, so we dont really need any of these parenthesis.

4x+18+8x+30=180

Add the x terms together and add the constants (plain numbers) together.

12x + 48 = 180

Subtract 48 from both sides of the equation.

12x = 132

Divide both sides by 12

x = 11

If he could walk directly from the back door to the barn door, he would walk 10.2 yards less.

First, let's define our coordinate axis, I will use north as the y-axis and east as the x-axis.

So let's assume that Loto begins at the point (0, 0).

Then:

So he walked a total of 8yd + 6yd + 12yd + 5yd = 33yd

So he just moves from (0, 0) to (20yd, 11yd), thus the displacement is:

[tex]D =\sqrt{(20yd - 0yd)^2 + (11yd - 0yd)^2} = 22.8ft[/tex]

So, if he could walk directly he would only walk 22.8 ft

The difference is:

33yd - 22.8yd = 10.2 yd.

He would walk 10.2 yards less if he could walk directly from the back door to the barn door.

If you want to learn more about displacements, you can read:

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Answer:

60%

Step-by-step explanation:

216/360 = 0.6

0.6 *100 = 60

60%

The percent of the marbles did Elizabeth give away is 60%.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Elizabeth buys a package of 360 marbles and she gives away 216 of the marbles.

Now, the percentage is 216/360 ×100

= 0.6×100

= 60%

Therefore, the percent of the marbles Elizabeth give away is 60%.

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#SPJ1

Step-by-step explanation:

the option you chose (<C~=<Y) is absolutely correct.

Answer:

1. 50

2. 130

Step-by-step explanation:

If we number the angle opposite 2 as 3 we know that angle 3 is equal to the 130 already provided.

Therefore, resulting in number 2 being equal to angle 3.

If we know that angle 2 and 3 is 130, we should add the numbers together to get 260.

A circle has a degree of 360, so we minus 260 from the 360.

We would get 100, so we divide it by 2.

Thus, angle 1 would be equivalent to 50.

Hope this makes sense :)

Answer:

an = 1/4 * an-1

a1 = 2

Step-by-step explanation:

2, 1/2, 1/8, 1/32

To find the common ratio, take the second term and divide by the first term

1/2 ÷ 2

1/2 * 1/2

1/4

The common ratio is 1/4

1/2 * 1/4 = 1/8  and 1/8 *1/4 = 1/32

The first term is a1 so a1 = 2

an = the common ratio * an-1

an = 1/4 * an-1

Answer:

Below.

Step-by-step explanation:

The common ratio = 1/2 / 2 =  1/2 * 1/2 = 1/4.

Also 1/8 / 1/2 =2/8 = 1/4 and 1/32 / 1/8 = 1/32 * 8 = 1/4

an = 1/4 * an-1 is the answer.

Answer:

  none of the above

  Maximum (3π/2, 1); Minimum (π/2, -1)

Step-by-step explanation:

The sine function is shifted left 1/2 cycle by the addition of π to x in the argument. That basically inverts the function, so it is equivalent to ...

  y = -sin(x)

This has a minimum of -1 at π/2, and a maximum of +1 at 3π/2. This does not match any of the offered answer choices.

__

You might want to discuss this question with your teacher.

Answer:

The correct answer is C!

Step-by-step explanation:

The dude that said there’s no answer doesn’t know what he’s talking about.

Answer:

6c+2(5-7c)=6c+10-14c

A. -8c+10 is correct option.

Answer:

D. Compound interest accrues on the interest, as well as the

principal.

Answer:

D. Compound interest accrues on the interest, as well as the

principal.

Step-by-step explanation:

Answer:

Angles are [tex]67^0,53^0[/tex]

Step-by-step explanation:

Let the angles be [tex]x,y[/tex]

One fifth of sum of two angles is 24

[tex]\frac{x+y}{5} =24\\\\x+y=120[/tex]

The  difference is [tex]14[/tex]

[tex]x-y=14[/tex]

[tex]2x=134\\\\x=67^0[/tex]

[tex]y=120-67\\\\=53^0[/tex]

Answer: to number 1 :The area of the square increases by 96% to number 2:  increase in width = 50%

Step-by-step explanation

Answer:

5

Step-by-step explanation:

1/2÷1/10=

1/2x10/1=

10/2=5

Answer:

the answer is 5

Step-by-step explanation:

keep change flip

1/2 x 10 =5

Using the binomial distribution, it is found that there is a 0.1755 = 17.55% probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go.

For each customer, there are only two possible outcomes, either they order their food to go, or they do not. The orders of each customer are independent of other customers, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that exactly 4 order their food to go is P(X = 4), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{5,4}.(0.52)^{4}.(0.48)^{1} = 0.1755[/tex]

0.1755 = 17.55% probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Answer:

Should be the first answer, x=5

Step-by-step explanation:

This would flip the graph and the square would land on top of where it currently is.

Answer:

the answer is negative nine

Answer:

180

Step-by-step explanation:

So you can get rid of the zero in the 20 for now and just solve 2 x 9, which is 18. Now you take the zero you got rid of earlier and put it at the end of 18 to get 180.

I hope this helps.

Answer:

180

Step-by-step explanation:

There is two ways you can do this. You can do:

20

x 9

180

This is because you multiply from right to left. 0 x 9 = 0 (anything x 0 always = 0.) And 2 x 9 = 18.

The second way takes a lot longer, but it works. You could do:

20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 180.

Hope this helps.

Answer:

Yes.

Step-by-step explanation:

Associative property of multiplication is:

(A×B)×C = A×(B×C).

It says that "The way of grouping of terms doesn't change the product."

So, given example (2×3)×4=2×(3×4) is an example of associative property of multiplication.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

by the definition of congruence.

Step-by-step explanation:

for plato

Answer:

y = -6/5x+56/5

Step-by-step explanation:

Answer:

Angle 4 also has a measurement of 34 degrees because opposite angles of intersecting lines are congruent. In other words, angles 2 and 4 are congruent, so are angles 1 and 3.

Recall that for two vector x and y making an angle θ with each,

x • y = ||x|| ||y|| cos(θ)

If we replace y with x, we see that

x • x = ||x|| ||x|| cos(0) = ||x||²   ⇒   ||x|| = √(x • x)

Using the last identity, the magnitude of w is

||w|| = √(w • w)

but since w = u + v, we have

w • w = (u + v) • (u + v)

The dot product distributes over sums and is commutative, so

w • w = (u • u) + (u • v) + (v • u) + (v • v)

… = ||u||² + 2 (u • v) + ||v||²

… = ||u||² + 2 ||u|| ||v|| cos(θ) + ||v||²

If u has a direction of 45° with the positive x-axis, v has a direction of 150°, then the angle between u and v is |45° - 150°| = 105°. So,

||w|| = √(||u||² + 2 ||u|| ||v|| cos(150°) + ||v||²)

… = √(10² + 2 • 10 • 13 cos(150°) + 13²)

… ≈ 14.2

Using the parallelogram rule for vector addition (see attached sketch), the sum of the angle between w and u and 45° is equal to the direction of w.

If φ is the angle between w and u, then

w • u = ||w|| ||u|| cos(φ)

… = 14.2 • 10 • cos(φ)

but we also have

w • u = (u + v) • u

… = (u • u) + (v • u)

… = ||u||² + ||u|| ||v|| cos(105°)

… = 10² + 10 • 13 • cos(105°)

… ≈ 66.4

Then

14.2 • 10 • cos(φ) ≈ 66.4

cos(φ) ≈ 0.467

φ ≈ 62.1°

and so the direction of w is 62.1° + 45° ≈ 107.1°.

Answer:

  m∠C = 72°

Step-by-step explanation:

The sum of the angles in the triangle is 180°.

  A +B +C = 180°

  (2x +11)° +(3x -8)° +(4x -12)° = 180°

  9x = 189 . . . . . . . . divide by °, add 9

  x = 21 . . . . . . . . . divide by 9

Angle C is ...

  (4x -12)° = (4(21) -12)° = 72° . . . . angle C

_____

Additional comment

Angle A is 53°; angle B is 55°.

Answer:

1.2

Step-by-step explanation:

First, you cancel out [tex]\frac{6}{20}[/tex] to become [tex]\frac{3}{10}[/tex]

Then that becomes [tex]-\frac{3}{10}+1.5[/tex]

Now, you convert the element to a decimal form to be [tex]-0.3+1.5[/tex]

Finally, you subtract them (because a negative plus a positive is subtraction) to get the final answer of 1.2

Hope this helps!

~nightmare5474~

[tex]2\frac{2}{3} + 3\frac{1}{3} + 1\frac{2}{3} = 7\frac{2}{3} [/tex]

let's convert each mixed fraction into improper fractions. Therefore,

Improper fractions are fractions that has the numerator bigger than the denominator.

[tex]2\frac{2}{3} = \frac{8}{3} [/tex]

[tex]3\frac{1}{3} = \frac{10}{3} [/tex]

[tex]1\frac{2}{3} = \frac{5}{3} [/tex]

Therefore,

[tex]\frac{8}{3} + \frac{10}{3} + \frac{5}{3} [/tex]

[tex] \frac{8}{3} + \frac{10}{3} + \frac{5}{3} = \frac{8 + 10 + 5}{3} = \frac{23}{3} [/tex]

Let's convert our answer back to mixed fractions

[tex]\frac{23}{3} = 7\frac{2}{3} [/tex]

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dAnswer:

fffff

Step-by-step explanation:ff m