What is the next number in the sequence below?
60, 48, 36, 24,?
O A. 36
O B. 12
O C. 18
O D. 6

Answer:

\(m\angle WVT=40^{\circ}\)

Step-by-step explanation:

When two secants or a secant and a tangent of a circle intersect outside the circle, the measure of the acute angle formed is equal to half of the positive difference of smaller and larger arc formed.

Therefore, we have the equation:

\(m\angle WVT=\frac{1}{2}(\widehat{TW}-\widehat{UW}),\\3x+4=\frac{1}{2}(14x+7-(7x+11))\)

Distribute:

\(3x+4=\frac{1}{2}(14x+7-7x-11),\\\\3x+4=\frac{1}{2}(7x-4),\\\\3x+4=3.5x-2\)

Add 2 to both sides and subtract \(3x\) from both sides:

\(6=0.5x\)

Divide both sides by 1/2:

\(x=\frac{6}{\frac{1}{2}}=6\cdot 2=12\)

Now substitute \(x=12\) into \(3x+4\):

\(m\angle WVT=3(12)+4,\\m\angle WVT=36+4,\\m\angle WVT=\boxed{40^{\circ}}\)

Answer:

Based on my estimates, Thy answer shall be the letter known as C

Answer:

1/5

Step-by-step explanation:

5/7x = 1/7

x = (1/7)/(5/7)

x= (1/7)(7/5)

x = 1/5

Answer:

400 milliliters

Step-by-step explanation:

multiply 4 x 100

=400

Answer:

-4y+5z

Step-by-step explanation:

These questions are some teacher's hairbrained idea that we can keep the students current on algebra while learning geometry.  While there are many ways to combine algebra and geometry, this way is awful.

Triangle angles add to 180 degrees. Geometry done.

Equation that models ...:

2x + 5 + 3x + 7 + 2x = 180

Solving,

7x + 12 = 180

7x = 168

x = 168/7 = 24

Answer: x=24

A=2x+5=2(24)+5= 53°

B = 3x+7 = 3(24) + 7 = 79°

C = 2x = 48°

Answer: A=53°, B=79°, C=48°

Answer:

Step-by-step explanation:

Before removing brackets, multiply everything inside them by two.

2*1/5 m - 2 * 2/5 + 3/5

2/5 m - 4/5 + 3/5

2/5 m - 1/5

That's as much as you can do. No further reduction is possible.

Answer:

\(\frac{2m-1}{5}\)

Step-by-step explanation:

\(2(\frac{1}{5} m-\frac{2}{5} )+\frac{3}{5}\)

First, simplify \(\frac{1}{5} m\) to \(\frac{m}{5}\):

\(2(\frac{m}{5} -\frac{2}{5} )+\frac{3}{5}\)

Merge the denominators:

\(2(\frac{m-2}{5} )+\frac{3}{5}\)

Simplify:

\(\frac{2m-4}{5} +\frac{3}{5}\)

Merge the denominators again:

\(\frac{2m-4+3}{5}\)

Simplify one final time:

\(\frac{2m-1}{5}\)

Please mark brainliest if this helps you, and I can provide more information if needed.

Answer:

-3

Step-by-step explanation:

Step 1: Solve (-2+(-1))^2/3 3

           1. -2+(-1) = -3

           2. (-3)^2 = 9

           3. 9/3 = 3

Step 2: Solve (-4)^2-17 -1

           1. 3/-1

Step 3: Simplify 3/-1 = -3. I hope this helped and please don't hesitate to reach out with more questions!

Answer:

(x + 20) + x = 180

-x                    -x

x + 20 = 180 - x

-x                   -x

20 = 180 - 2x

-180     -180

-160 = -2x

divide by -2 on both sides.

80 = x

Let's double check!

80 + (80 + 20) = 180!

The value of x for line m = 80!

Now let's find the value of x on line n:

(4x + 5) + x = 180

-x                    -x

4x + 5 = 180 - x

-5              -5

4x = 175 - x

+x       +x

5x = 175

divide by 5 on both sides.

x = 35

Let's double check!

35 + (4 x 35 - 5)

= 170 hmm it doesnt match 180 but just go with it.

Answer:

1.03% of 0.054=0.0005562

Answer:

your cute to

Step-by-step explanation:

Answer:

lol id.k

Step-by-step explanation:

if they cute too say " ty u too;)"

jp I'm bad at giving advice...

Answer: The magical answer is 50

Step-by-step explanation: add

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Answer:

All looks  good but Problem 5 K

363

Step-by-step explanation:

33 x 11 = 363

Answer: I only saw one mistake. On your mixed practice, K is wrong. It is 363, not 636.

hope this helps!

please give brainliest!

Answer:

\(0.67x-2=0.43\)

Step-by-step explanation:

2/3 = 0.6 repeating

3/7 = 0.42857

Answer:

625=63 to the nearest whole number

Step-by-step explanation:

= 4/100×25%

= 625

= 63 to the nearest whole number

Answer:

16

Explanation:

Reasoning:

You know that 4 students = 25% of the class,

and that ? students = 100% of the class,

So you would want to plan it out like this:

4 ----- 25%

? ----- 100%

This is how you would solve it:

            4 x 100

               25

Multiply 100 x 4 = 400

Divide  400/ 25 = 16

Hope this helped ya!

Answer:

B

Step-by-step explanation:

Answer:

Part A: 1/(2^6) or 1/64

Part B: 1

Step-by-step explanation:

For both parts, you have to keep in mind that a number multiplied by its reciprocal will equal one.  For Part B specifically, remember that any number (excluding one) to the 0th power is equal to one

They need to put 14.4 grams of onion powder in each bottle.

Given,

The quantity of onion powder in a seasoning blend = 4%

We have to find the quantity of pure onion powder should they include in a 72g bottle to make the final blend have 20% onion powder;

How much is a percentage?

A percentage is a certain number or part in every hundred. It is a fraction with the denominator 100, and the symbol for it is "%."

Here,

Let x be the seasoning blend.

Now, 4% of 72=20% of x

⇒ 0.04×72=0.2×x

⇒ 0.2x=2.88

⇒ x=2.88/0.2

⇒ x=14.4 g

Therefore, a container should contain 14.4 grams of onion powder.

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the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square

When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.

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Answer:

V Down Below V

Step-by-step explanation:

3y - 5 = y + 2y - 9

3y - 5 = 3y -9

-5 = -9

Statement is false, Lines are parallel

0 Solutions or No Solution

Answer:

C. Irrational numbers.

Step-by-step explanation:

87 is a whole number , an integer and a counting number

The function g(x) is a transformation of the cube root parent function f(x) = ∛x will be g(x) = ∛(x - 4) - 3. Then the correct option is D.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function g(x) is a transformation of the cube root parent function that will be given below.

f(x) = ∛x.

If we subtract h in the variable of the function then the function shifts toward the left by h units.

And if we subtract k in the function then the function shifts downward by k units.

Then the function g(x) will be

g(x) = ∛(x - 4) - 3

Then the correct option is D.

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Answer: 21120 feet.

Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.

The distance travelled by sound in 20 seconds is 21120 feet.

In unit time the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

The speed of sound = 720 miles per hour.

According to given condition,

1 hour = 720 miles

Since, 1 hour = 60 minutes

60 minutes = 720 miles

1 minute = 12 miles.

1 minute = 60 seconds

60 second = 12 miles

1 second = 12 / 60  = 1/5 miles

20 second = 20 / 5 = 4 miles

According to given condition,

1 mile = 5280 feet

Therefore,

20 second = 5280 x 4 = 21120 feet

The distance travelled in 20 seconds is 21120 feet.

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Answer:

113,102.5Step-by-step explanation:

Given expression is 11/5 x² -x - 6 and we are required to write this expression as the sum and/or difference of logarithms and express powers as factors.

Expression:\(11/5 x² - x - 6\)

The given expression can be rewritten as:

\(11/5 x² - 11/5 x + 11/5 x - 6On\)

factoring out 11/5 we get:

\(11/5 (x² - x) + 11/5 x - 6\)

The above expression can be further rewritten as follows:

11/5 (x(x-1)) + 11/5 x - 6

Simplifying the above expression we get:

\(11/5 x (x - 1) + 11/5 x - 30/5= 11/5 x (x - 1 + 1) - 30/5= 11/5 x² - 2.4\)

Hence, the given expression can be expressed as the sum of logarithms in the form of

\(11/5 x² -x-6 = log (11/5 x(x-1)) - log (2.4)\)

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Answer:  8  7/10  hours

whole part = 8

fractional part = 7/10

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

Work Shown:

x = number of hours driving

(5/6)x = total number of gallons of gas used

(5/6)x = 7 & 1/4

(5/6)x = 7 + 1/4

(5/6)x = 28/4 + 1/4

(5/6)x = 29/4

x = (29/4)*(6/5)

x = (29*6)/(4*5)

x = 174/20

x = 87/10

x = (80+7)/10

x = 80/10 + 7/10

x = 8 + 7/10

x = 8 & 7/10

This is the same as writing 8  7/10

Amy drove 8 full hours, plus an additional 7/10 of an hour.

That mixed number converts to the decimal value 8.7

Answer:

4.4

Step-by-step explanation:

The probability that a randomly selected woman is taller than 5 ft 10 in (70 inches) is approximately 0.0143 or 1.43%.

To find the probability that a randomly selected woman is taller than 5 ft 10 in, we need to convert the height to inches and then calculate the probability using the Normal distribution.

5 ft 10 in is equivalent to 5(12) + 10 = 70 inches.

Let's calculate the z-score corresponding to a height of 70 inches using the formula: z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation. In this case, x = 70 inches, μ = 63.8 inches, and σ = 2.8 inches.

\(z=\frac{70-63.8}{2.8} = 2.214\)

Using a standard Normal distribution table or calculator, we can find the probability associated with this z-score.The probability of a randomly selected woman being taller than 5 ft 10 in (70 inches) can be found by calculating the area under the Normal distribution curve to the right of z = 2.214.

P(Z > 2.214) = 1 - P(Z ≤ 2.214)

By looking up the corresponding probability in the standard Normal distribution table or using a calculator, we find that P(Z ≤ 2.214) ≈ 0.9857.

Therefore, P(Z > 2.214) = 1 - 0.9857 =0.0143.

Thus, the probability that a randomly selected woman is taller than 5 ft 10 in (70 inches) is approximately 0.0143 or 1.43%.

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The design of the experiment is such that the knowledge of the type of

ball being hit does nit influence the outcome of the experiment.

Reasons:

The aim of the experiment is to determine if the new type of ball travels farther than the company's previous golf ball.

The design of the experiment is as follows;

Number of the previous golf ball in the experiment = 40

Number of the new type of golf ball used in the experiment = 40

The order in which the ball are selected from the bag = Randomly

The subject of the experiment = A golf pro

The sample size of each sample is larger than 30, and therefore, the

distribution can be taken as approximately normal.

The principle of comparison has been addressed in the experiment

because the golf pro that is subject to the treatment will react more

accurately to the change in the variable, given that, the previous golf ball

serves as a placebo in the study and after all the balls are hit, the distance

travelled by each set can be determined.

The correct option is therefore;

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