Given that the measure of ∠x is 120°, and the measure of ∠y is 60°, find the measure of ∠z.

Answer:

x=580

Step-by-step explanation:

The required value of x in the given equation 2x + 3(5x - 7) = 47 is 4.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

We have to find the value of x in the equation 2x + 3(5x - 7)

Distribute the 3 across the parentheses on the left-hand side of the equation:

2x + 15x - 21 = 47

Combine like terms on the left-hand side of the equation:

17x - 21 = 47

Add 21 to both sides of the equation to isolate the variable term on the left-hand side:

17x = 68

Divide both sides of the equation by 17 to solve for x:

x = 4

Therefore, the value of x in the equation 2x + 3(5x - 7) = 47 is 4.

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The complete question would be as:

Find the value of x for the below equation. explain

2x + 3(5x − 7) = 47

Answer:The correct answer would most likely be Country A. (The second one.)    

Step-by-step explanation:

The reasoning for that would be because if you have a smaller interquartile range, it would most likely be closer to the median and won't have a chance of falling farther.

If you have questions please ask.

I hope this helps. :)

The island that is more probable to possess a wind speed nearer to its median would be as follows:

C). Country A because it has a smaller interquartile range.

Thus, option C is the correct answer.

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Answer:

(4x - 2y³)²

Step-by-step explanation:

a² - 2ab + b² = (a - b)²

16x² = 4²x² = (4x)²  , Therefore, a = 4x

4y⁶=2²(y³)² = (2y³)² = b² , Therefore, b = 2y³

2ab = 2*4x*2y³ = 16xy³

16x² - 16xy³ + 4y⁶ = (4x)² - 2* 4x * 2y³ + (2y³)²

                            = (4x - 2y³)²

Answer:(4x - 2y³)²

Step-by-step explanation:

Answer:

X = 4, -6

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

x = 4 and x = -6

Step-by-step explanation:

We can use the Zero Identity Property, which states that 0 * n = 0, where n is any number.

Here, in order for (x - 4)(x + 6) = 0 to be true, either x - 4 must equal 0 or x + 6 must equal 0. So set each of them equal to 0 and solve for x:

x - 4 = 0

x = 4

x + 6 = 0

x = -6

The answers are x = 4 and x = -6.

Hope this helps!

Answer:

Arithmetic sequence

f(n)=30-2(n-1)

Step-by-step explanation:

Chinedu's problem-solving sequence is arithmetic. The explicit formula for the sequence is f(n) = 32 - 2n.

Chinedu's homework problem involves a sequence where he solves 2 problems each minute, starting with 30 problems. To determine the number of problems left at the beginning of the nth minute, we can use an arithmetic sequence since the number of problems decreases by a constant amount (2 problems) each minute.

In an arithmetic sequence, the nth term can be expressed using the formula:

f(n) = a + (n - 1)d

where a is the first term and d is the common difference.

Steps:

f(n) = 30 + (n - 1)(-2) = 30 - 2(n - 1) = 32 - 2n

So, the explicit formula for the sequence is f(n) = 32 - 2n.

Answer:

5.9 x 10^-5

Step-by-step explanation:

Move the point to the right . The power of the exponent becomes negative because we’re moving the point from left to right. The opposite is the case if we move the point to the left .

To two significant figures, move the point until you have just two figures left. So

5.9 x 10^-5 is the answer

Answer: 3.3×10^-3

Step-by-step explanation:

0.003259 in standard form

When you see a standard form questions like this,you have to be patient

You will have to count the zeros backward

How many zeros are in front of the 3,that's two right

That means you take the decimal to the back of 3,that means the decimal is jumping three numbers

Since you are counting backward, that will be negative

So we have,

3.259×10^-3

Now to two significant figures

You will round up the 5 behind the 2 to 1 and add to the 2

Making 3,

So we have

3.3×10^-3

Answer:

[tex] 420 \: {feet}^{3} [/tex]

Step-by-step explanation:

Space occupied by storage locker in the warehouse will be equal to its volume.

[tex] \therefore \: volume \: of \: storage \: locker \\ = 5 \times 6 \times 14 \\ = 30 \times 14 \\ = 420 \: {feet}^{3} [/tex]

Hence, storage locker will occupy 420 cubic feet of space in the warehouse.

Answer:

104,196 square meter

Step-by-step explanation:

This question can be solved by using the formula of area of four side in a

rectangular prism

In the given problem we have

Length of building = 218m

width of building = 158m

height of building = 160

Area of four walls is given by formula = 2*(L + B) * H

where L is length of rectangular prism

B is width of rectangular prism

H is height of rectangular prism

Therefore total surface area of building = 2*(218 + 158)* 160 = 376*320= 120,320

___________________________________________________

No of doors in the building = 4

length of door = 139m

width of door = 29 m

area of one door = length * width = 139* 29 = 4,031

area of four door = 4* 4,031 = 16,124

___________________________________________________

we have to find surface area of building when doors are open

To find this we can subtract total area of four door from total surface area of four walls which we have calculated above

total surface area of four walls - total area of four door

=> 120,320 - 16,124 = 104,196

104,196 is the buildings outside surface area when the doors are open

Answer:

Step-by-step explanation:

PUT y  or f(x) = 0......then find x

Answer:

21.990 in circumference area  38.480 area in the square inches

Step-by-step explanation:

Answer: the area formula is A = πr2. Substitute the values of r (3.5 inches) and π (3.14) in the formula to find A:

A = 3.14 × (3.5)2 square inches

A = 38.465 square inches.

The area of each light is about 38.465 square inches.

Answer:

1. Angel - 0.08 mins, Jayden - 0.067 mins

2. Angel - 12.5 km, Jayden - 15 km

3. Jayden runs faster.

Step-by-step explanation:

The length of the track (1 lap) is 25 km.

Angel ran 1 lap in 2 mins. That means he ran 25 km in 2 mins.

Jayden ran 3 laps in 5 mins. That means he ran 75 km (3 * 25 km) in 5 mins.

1. To find the time it takes to run 1 km, we divide the total time taken by the total distance run.

The number of minutes it takes Angel to run 1 km will be:

T = 2 / 25 = 0.08 minutes

The number of minutes it takes Jayden to run 1 km will be:

T = 5 / 75 = 0.067 minutes

2. To calculate the distance they run in 1 min, we divide the total distance run by the total time taken.

The distance Angel runs in 1 min is:

D = 25 / 2 = 12.5 km

The distance Jayden runs in 1 min is:

D = 75 / 5 = 15 km

3. Jayden runs faster because he runs more kilometres per minutes (15 km/min) than Angel (12.5 km/min).

In other words, Jayden clocks a faster speed than Angel.

Answer:

201.1ft²

Step-by-step explanation:

The area of the circle is 200.96 ft².

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

Circumference of a circle = 2πr

This means,

2πr = 50.27 ft

π = 3.14

r = 50.27 / 2 x 3.14

r = 50.27 / 6.28

r = 8.005 ft

r = 8 ft

Now,

The area of the circle.

= πr²

= 3.14 x 8²

= 3.14 x 8 x 8

= 3.14 x 64

= 200.96 ft²

Thus,

The area of the circle is 200.96 ft².

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Answer:  x=7x−1

Step-by-step explanation:

The expressions which have the final answer 8000 will be equal to Andre's answer.

Multiplication is the process of adding a number repeatedly up to the times as that of the another number which is being multiplied with the given number.

For example 2 × 3 means 2 is added to itself 3 times or 3 is added to itself 2 times.

Andre says, “I multiplied 4 by 5, then cubed the result.”

Mathematically the expression is (4 × 5)³.

(4 × 5)³ = (4 + 4 + 4 + 4 + 4)³

            = 20³

Now a number cubed means it is multiplied to itself 3 times.

20³ = 20 × 20 × 20

      = 8000

Hence the resultant of the expression (4 × 5)³ = 8000. So all expressions which will result in an answer of 8000 will be equal to Andre's answer.

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Answer: B. As the temperature increases, the water take increases.

Step-by-step explanation: I just took the test

Answer:

The correct option is option (B)

Yes, he will have enough poster board because 10 = 2.5 feet. Then, 2.5 x 2 = 5 square feet .

Step-by-step explanation:

1 foot = 12 inches.

Fabian needs 45 square feet of poster board for an art.

Actually, the area of the poster is 4.5  square feet.

[Since the unit of 4.5 is  square feet, so it is unit of area.]

He buys a sheet of poster board with length 30 inches and a width 2 feet.

The units of length and width are not same.

So, first we need to convert the width in inches.

The length of the sheet is = 30 inches

                                         =(30÷12) inches

                                         =2.5 feet.

Total area of the sheet = length×width

                                      =(2.5×2) square feet

                                      = 5 square feet

So, the area of sheet is more than the area of poster.

Yes, he will have enough poster board because 10 = 2.5 feet. Then, 2.5 x 2 = 5 square feet .                                      

Answer:

8.9 x 10^-6

Step-by-step explanation:

move decimal to the right so it makes a negative

8.9 x 10^-6

Answer:

8.9  x 10`6

Step-by-step explanation:

message me if you need a explanation

Answer:

A.

Step-by-step explanation:

The first number is 2, so 2 must be plotted on the X radius (because it goes by X first). B plots X on the Y axis so therefore, by process of elimination, A is the answer.

Solution:

The ladder, wall and base of the ladder from wall forms a right angled triangle

Length of ladder forms the hypotenuse

Length of ladder = 12 foot

base of the ladder from wall = 2 feet

To find: height of wall

By pythagoras theorem.

[tex]c^2 = a^2+b^2[/tex]

Where,

"c" is the Length of ladder

"a" is the base of the ladder from wall

"b" is the height of wall

Substituting the values,

[tex]12^2 = 2^2+b^2\\\\144 = 4 + b^2\\\\b^2 = 140\\\\b = \pm 11.832 \\\\Ignore\ negative\ value\\\\b \approx 11.8[/tex]

Thus, the ladder will reach a height of 11.8 feet on wall

To find the time required for an investment to grow to a certain amount with compound interest, we can use the formula Final Balance = Principal(1 + interest rate/number of compounding periods)^(number of compounding periods * time). In this case, the investment of $5000 will take approximately 4.08 years to grow to $6000 at an interest rate of 7.5% per year, compounded quarterly.

To find the time required for an investment to grow to a certain amount with compound interest, we can use the formula:

Final Balance = Principal(1 + interest rate/number of compounding periods)^(number of compounding periods * time)

In this case, the initial principal is $5000, the final balance is $6000, the interest rate is 7.5% (or 0.075), and the interest is compounded quarterly (so there are 4 compounding periods per year).

Using a calculator, we can solve for time to find that the investment will take approximately 4.08 years to grow from $5000 to $6000.

Answer: y=0

Step-by-step explanation

For the square root of a number to be a whole number, we would need to have a perfect square. 14 is given to us, so to find the missing number, all we have to do is square 14 (or multiply it by itself).

14 x 14 = 196

The missing number is 196.

Hope this helps! :)

Answer:

2 • (x - 20) • (x + 5) • (x + 40)

Step-by-step explanation:

Final answer:

To solve the equation (x-20) (2x+10) (x+40)=0, we set each factor equal to zero and solve for x, resulting in three solutions: x = 20, x = -5, and x = -40.

Explanation:

To find the value of x in the equation (x-20) (2x+10) (x+40) = 0, we need to use the property that if a product of factors equals zero, at least one of the factors must be zero. This gives us three separate equations to solve: x - 20 = 0, 2x + 10 = 0, and x + 40 = 0.

Step-by-Step Solution:

Solve x - 20 = 0: Add 20 to both sides, which gives x = 20.

Solve 2x + 10 = 0: Subtract 10 from both sides and then divide by 2, giving x = -5.

Solve x + 40 = 0: Subtract 40 from both sides, which gives x = -40.

Therefore, the solutions to the equation are x = 20, x = -5, and x = -40.

Answer:

(300-28)7

Step-by-step explanation:

You always do parenthesis first and then the 7 means to do multiplication if it is right next to the parenthesis

Answer:

7(300-28)

Step-by-step explanation: All you have to do is put the 300-28 in parentheses (300-28) and then you would put the 7 on the outside of the parentheses and your answer would be 7(300-28)

Answer:8

Step-by-step explanation:

Multiple 2 five times and multiple 2 two times than divide

2*2*2*2*2=32

2*2=4

32/4=8

Answer:

D

Step-by-step explanation:

The statements are shown below:

A) She used the wrong number as a repeated factor and should have evaluated -2x2x2x2x2x2x2x2.

B) She used the wrong number as a repeated factor and should have evaluated -(8x8).

C) She misinterpreted the exponential form and should have multiplied -2 and 8.

D) She made a sign error when multiplying and should have had 256 as a final answer.

Solution:

The problem to simplify is:

[tex](-2)^{8}[/tex]

Haley's steps are shown below:

[tex](-2)^{8}=(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)=-256[/tex]

Generally,

[tex](a)^b[/tex]  is actually "a" multiplied "b" times.

So, Haley wrote "-2" eight times multiplied together. That is okay.

Now,

We are dealing with negative numbers.

Haley wrote "-2" eight times, which is EVEN number of times, so the answer would be POSITIVE. But, Haley's answer is negative. Which is wrong. But "256" is right.

Haley's error is:

Answer choice D

Answer:

the answer is D

Step-by-step explanation:

Answer:

I believe D is the answer

Step-by-step explanation:

Solution:

Let "x" be the number of tables

Let "y" be the number of booths

The restaurant has 38 seating units

Therefore,

x + y = 38

x = 38 - y ------- eqn 1

Hometown Buffet has tables that can seat 6 people and booths that can seat 4 people

Total of 188 people

Therefore,

6x + 4y = 188 ------ eqn 2

Substitute eqn 1 in eqn 2

6(38 - y) + 4y = 188

228 - 6y + 4y = 188

2y = 40

y = 20

Substitute y = 20 in eqn 1

x = 38 - 20

x = 18

Thus there are 18 tables and 20 booths are at the restaurant

Answer:

The sum of interior angles is found by using the following equation:

∑ of interior angles = (S - 2)180

S = sides.

Note that the sum is given to you, or 1620. Plug in 1620 for the sum:

1620 = (S - 2)180

Next, isolate the variable, s. Note the equal sign, what you do to one side, you do to the other. Divide 180 from both sides:

(1620)/180 = ((S - 2)180)/180

S - 2 = 1620/180

S - 2 = 9

Next, isolate the variable, s. Add 2 to both sides:

S - 2 (+2) = 9 (+2)

S = 9 + 2

S = 11

~

Step-by-step explanation:

to find the interior angles of a polygon, you must figure out 2 things: the number of angles, and what each measures

since there is 1620 for the angles and (n-2)180 = sum of int. angles, we can solve using this (n = the number of sides)

(n-2)180 = 1620

180n - 360 = 1620

180n = 1620 + 360

180n = 1980

1980/180 = n

n = 11 sides