What is the measure of the angle shown below?

Answer:

C. 20

Step-by-step explanation:

10|7−x| here we are asked to find the absolute value.

x is given as 5 so if we just rewrite the expression:

10|7-5| = 20 because absolute value cannot be negative.

198 of the 275 customers can be expected to prefer soda

A restaurant manger surveyed a random sample of costumers to determine which drink they prefer. Fourteen chose tea and 36 chose soda.

Based on the results , we have to find how many of the 275 customers can be expected to prefer soda?

total customers x = 275

customers chose soda y= 36

customers chose tea z= 14

therefore out of 275 customer who prefer soda = (x * y)/(y+z)

Based on the given conditions, formulate: [tex]: \frac{275 * 36}{14+36} \\\\[/tex]

Calculate the product or quotient:[tex]\frac{9900}{14+36}[/tex]

Calculate the sum or difference:[tex]\frac{9900}{50}[/tex]

Cross out the common factor: [tex]198[/tex]

Hence ,198 of the 275 customers can be expected to prefer soda

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The pair of numbers that have the greatest common factor of 3 are:

6 and 9

18 and 15

3 and 9

The biggest number, which is the variable of at least two number is known as the Best Normal Element (GCF). It is the biggest number (factor) that partition them bringing about a Characteristic number. When every one of the elements of the number are found, there are not many variables which are normal in both.

The factors of 6 and 9 are:

6 ⇒ 1, 2, 3 and 6

9 ⇒ 1, 3, 9

The greatest common factor here is therefore 3.

The factors of 18 and 15 are:

18 ⇒ 1, 2, 3, 6, 9 and 18

15 ⇒ 1, 3, 5, and 15

Greatest common factor is also 3

The factors of 3 and 9 are:

3 ⇒ 1 and 3

9 ⇒ 1, 3, 9

Greatest common factor here is also 3.

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Answer:

2x² + 14x + 6

Step-by-step explanation:

A match box is in the shape of a right rectangular prism so we can use the formula for the surface area of such a solid

A=2(wl+hl+hw)

where l = length, w=width and h = height

Substituting l = x, w = x+1 and height = 3 we get

wl = x(x + 1) = x² + x

hl = 3x

hw = 3(x + 1) = 3x + 3

So A = 2( x² + x + 3x + 3x + 3)

A = 2(x² + 7x + 3)

A = 2x² + 14x + 6

Answer: 4 necklaces 2 bracelets. 8 bracelets. 2 necklaces 5 bracelets

Step-by-step explanation:

Answer: x = -3

Step-by-step explanation:

     First, we will write an equation.

two times ➜ 2 *

7x plus 5 ➜ 7x + 5

equals -32 ➜ -32

       2(7x+5) = -32

     Next, we will solve by isolating the x variable.

2(7x+5) = -32

14x + 10 = -32

14x = -42

x = -3

The order of the values from least to greatest is 8*1/ 100, 8 tens, 88

To determine the order of the values from least to greatest is to outline or arrange the value on the basis of the sizes or according to their magnitude

Given the values as;

Note that 8 ten is simply written as

=  8 × 10 = 80

= 8/ 100 = 0. 8

= 88

From the number system, the values can be arranged as;

0. 8, 80 , 88

Thus, the order of the values from least to greatest is 8*1/ 100, 8 tens, 88

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The expression as a number in scientific notation is 4.2 * 10^5

The expression is given as:

quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared

Rewrite properly as:

[7 * 10^3 * 5.4 * 10^4]/[9 * 10^2]

Evaluate the product of 7 and 5.4

So, we have:

[37.8* 10^3 * 10^4]/[9 * 10^2]

Evaluate the product of 10^3 and 10^4

So, we have:

[37.8* 10^7]/[9 * 10^2]

Evaluate the quotient of 37.8 and 9

So, we have:

[4.2 * 10^7]/[10^2]

Evaluate the quotient of 10^7 and 10^2

So, we have:

4.2 * 10^5

Hence, the expression as a number in scientific notation is 4.2 * 10^5

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Based on the calculations, the perimeter of this regular polygon is equal to 7.5 units.

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:

Since this polygon is a regular polygon with each of its sides being equal, we have:

3(x - 1) = 5x - 6

3x - 3 = 5x - 6

5x - 3x = 6 - 3

2x = 3

x = 3/2

x = 1.5.

The measure of each of its sides is given by:

3x - 3 = 5x - 6

3(1.5) - 3 = 5(1.5) - 6

4.5 - 3 = 7.5 - 6

1.5 = 1.5

Each side, a = 1.5 units.

Now, we can determine the perimeter of this regular polygon:

Perimeter of pentagon = 5a

Perimeter of pentagon = 5 × 1.5

Perimeter of pentagon = 7.5 units.

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Can you provide more information?

–5 + 7 = 7 + (–5)  is an example of the associative property. Option A

This is further explained below.

Generally, The associative property is a rule in mathematics that states that the product of a multiplication problem does not depend on the method in which the elements that are being multiplied do not vary.

In conclusion, Even if the numbers on each side of the equal sign are written in the opposite direction, adding -5 to 7 still results in the same answer: 7 plus (-5).

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The computation shows that the average number of viewers over the two weeks will be 3.85 × 10⁴.

From the information given, the tv show had 3.6 x 10⁴ viewers in the first week and 4.1 x 10⁴ viewers in the second week.

Therefore, the average number of viewers over the two weeks will be:

= (3.6 × 10⁴ + 4.1 × 10⁴)/2

= 7.7 × 10⁴/2

= 3.85 × 10⁴

Therefore, the average is 3.85 × 10⁴

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Answer:12

Step-by-step explanation: 300 times 0.04 (4%) is 12

Answer:

Mav bought 5 oranges.

Step-by-step explanation:

$2.34 ÷ 6 oranges = $0.39 ( Price per orange)

$0.39 x 5 oranges = $1.95

Answer:W=16-3

Step-by-step explanation:

W is how many more weeks she has to work
she needs to work a total of 16 weeks and she has worked for 3 so far to find the total number of weeks she still needs to work she would take 16-3=13 13=W

Answer:

$1425

Step-by-step explanation:

To find how much money you would make, we would first have to multiply the number of weeks worked by how many hours you work per week.

4 · 25 = 100

What this tells us is that in 4 weeks, you worked 100 hours in total. Now we can multiply total hours worked by how much you are paid per hour to get our answer.

14.25 · 100 = 1425

Answer: (8, 8)

Step-by-step explanation:

y>x-7, y<=2x-8

1: 5>12-7

5>5 ==> Not true

2: 3>12-7

3>5 ==> Not true

3: -10>-6-7

-10>-13

-10<=2(-6)-8

-10<=-12-8

-10<=-20 ==> Not true

4: 8>8-7

8>1 ==> True

8<=2(8)-8

8<=16-8

8<=8 ==> True ==> (8, 8)

Answer:

Step-by-step explanation:

-4w

nkjiug  kglkr fho'f v

The number of bottles will be 24 bottles.

It should be noted that 1 pound = 16 ounces.

Since he bought 1 pound of each color, the total pounds will be:

= 1 × 9 = 9 pounds.

The number of sand art will be:

= 9 pounds / 6 ounce

= (9 × 16) / 6

= 24 bottles

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Answer:

y = 1

Step-by-step explanation:

the equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through

the line passes through (- 8, 1 ) and (7, 1 )

both with y- coordinates of 1 , then

y = 1 ← is the equation of the line

Answer:

see explanation

Step-by-step explanation:

525 divided by 1500 may be expressed in the following ways

525 ÷ 1500

[tex]\frac{525}{1500}[/tex]

1500  | |525

Answer:

See attached image

Step-by-step explanation:

I could not figure out how to do the long division symbol on the keyboard so I highlighted the answers in the attached.

The value of the unknown variable, m in the equation 4m / 3 = 8 is 6. option B

4m / 3 = 8

4m = 8 × 3

4m = 24

m = 24/4

m = 6

let

three more than twice as many pounds of apples as bananas.

a = 2b + 3

If you bought seven pounds of apples, how many pounds of bananas did you buy?

b = 7 pounds

a = 2b + 3

7 = 2b + 3

7 - 3 = 2b

4 = 2b

b = 4/2

b = 2 pounds

So therefore, the correct equation and solution for this problem is 2p + 3 = 7; p = 2 pounds. option D

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The equivalent expression is 5^(4) * 3^(-10)

Equivalent expressions are expressions having the same solution but different arrangement

Two expressions are said to be equivalent if they have the same value of solution irrespective of the variable(s) in them.

Now, let's represent the expression;

( 5^-2 × 3^5 )^-2

We simply by multiply the exponential value by the
5^-2(-2) × 3^5(-2)

5^4 × 3^- 10

Hence, the equivalent expression is 5^(4) * 3^(-10)

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Answer:

domain ( - ∞, ∞ )

Step-by-step explanation:

there is no endpoint at either end of the line and it continues forever in both directions, then

domain is ( - ∞, ∞ )

Answer:

(-infinity, +infinity)

Step-by-step explanation:

(-infinity,+infinity) because at quadrant III, the line is extending forever into negative infinity, and in quadrant IV, the line is extending forever into positive infinity

Answer:

x = 96 degrees

Step-by-step explanation:

49 + 35 + x = 180

84 + x = 180

x = 180 - 84

x = 96 degrees

And the correct graph is the one in option b.

We know that you have 8 cups of flour, and it takes one cup of flour to make 24 cookies.

Then the linear function:

c(f) = 24*f

Relates the number of cookies that we can make using f cups of flour.

Then the possible domain of this function (the possible values of f) is given by:

0  ≤ f ≤ 8

The maximum number of cookies that can be made is:

24*8 = 192

And the range is:

0 ≤ c ≤ 192

With that in mind, we can see that the correct graph is the one in option b.

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Answer:

0.62 feet per second

Step-by-step explanation:

Answer:

the prime factorization of 252 is. 252 = 2 × 2 × 3 × 3 × 7 = 22 × 32 × 7.

The 2 missing numbers are not given, so I'm unsure about the 2 missing numbers.

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Definitions

Prime number: A whole number greater than 1 that cannot be made by multiplying other whole numbers.

Prime Factorization: Prime numbers that multiply together to make the original number.

The first few prime numbers are:  2, 3, 5, 7, 11, 13, 17, ...

To find which prime numbers multiply together to make 252, begin by dividing 252 by the first prime number, 2:

⇒ 252 ÷ 2 = 126

As 126 is not a prime number, we need to divide again.  

⇒ 126 ÷ 2 = 63

As 63 is not a prime number, and 63 is not divisible by 2, try dividing it by the next prime number, 3:

⇒ 63 ÷ 3 = 21

As 63 is not a prime number, divide again.  

⇒ 21 ÷ 3 = 7

As 7 is a prime number, we can stop.

Therefore, 252 is the product of:

⇒ 252 = 2 × 2 × 3 × 3 × 7

As 2 and 3 appear twice, we can write these using exponents:

⇒ 252 = 2² × 3² × 7