Type the correct answer in each box. Use numerals instead of words.

Answer:

y= 163 because of vertical angle

Answer:

y° = 163°

Step-by-step explanation:

In this question we have to find the value of y.

We can solve this using the property of vertically opposite angles, I.e, vertically opposite angles are equal to each other. In this case the vertically opp. angle of y is 163°. So that makes y° = 163°

Answer:

x=56

Step-by-step explanation:

(2x-3)degrees+71 degrees=180 degrees because they are supplementary angles

This simplifies to 2x+68=180 because -3+71 is 68.

2x+68=180

2x=180-68

2x=112

x=112/2

x=56

Answer:

48:16 ---> 3:1

Step-by-step explanation:

48 and 16 can both be divided by 4 which makes it 12:4 but that can still be reduced which would make it 3:1

Answer:

m∠CAD = 49degrees

Step-by-step explanation:

For a rectangle ABCD if m∠BAC=4x+5and m∠ACD=5x−4, then;

m∠BAC = m∠ACD (alternate angles)

4x+5 = 5x - 4

4x-5x  = -4-5

-x = -9

x = 9

Also

m∠BAC+m∠CAD = 90

4x+5+m∠CAD = 90

4(9)+5+m∠CAD = 90

36+5+m∠CAD = 90

41+m∠CAD = 90

m∠CAD = 90-41

m∠CAD = 49degrees

Answer:

Omar could invite 19 friends.

Step-by-step explanation:

the equation for this word problem would be

5x+30=125

subract 30 from both sides

5x=95

divide both sides by 5

x=19

Answer:

(125-30) divided by 5. Your answer is 19.

Step-by-step explanation:

subtract 30 from 125 and your left with 95. Divide 95 by 5 and you get 19.

Answer:

24.6

Step-by-step explanation:

it's 24.6 because if you add 2.5 plus 22.1 equals 24.6

Answer:

260,000

Step-by-step explanation:

Answer:256.73 hope this helps!

Step-by-step explanation:

Answer:

Sam will be 24 and his mom U can figure that out

Step-by-step explanation:

Math

Answer:

24

Step-by-step explanation:

`12

Answer:

9,000

Step-by-step explanation:

it you count with time by ×it would be 9,000 because just add that up with money

Answer:

12 lemons, $5.52

Step-by-step explanation:

Answer:

4.2% of 750 = 31.5

31.5 * 3 = 94.5

~Hope this helps~

The worth of CD after 3 years will be $853.07 at the given rate of interest.

Compound interest is applicable when there will be a change in the principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given that,

Principle amount P = $750

Rate of interest R = 4.3%

Time period T = 3 years

Number of times interest compounded annually (n) = 12

The compound interest formula is given by;

A = P[1 + R/n]^nT

A = 750[ 1 + 4.3/1200]¹²⁽³⁾

A = $853.07

Hence "The worth of CD after 3 years will be $853.07 at the given rate of interest".

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Answer:

(x+6)(x-1)

Step-by-step explanation:

x^2+6x-x-6

x(x+6)-(x+6)

(x+6)(x-1)

Answer:

105%

Step-by-step explanation:

We'll analyse the question one step at a time

Let the original price be x.

Let y be the 40% increase

[tex]y =x + 40\% *x[/tex]

Express as decimal

[tex]y =x + 0.40 x[/tex]

[tex]y =1.40x[/tex]

Let z be the 25% off sale

[tex]z = (1 - 25\%) * y[/tex]

Express as decimal

[tex]z = (1 - 0.25) * y[/tex]

[tex]z = (0.75) * y[/tex]

[tex]z = 0.75y[/tex]

Substitute 1.40s for y

[tex]z = 0.75*1.40x[/tex]

[tex]z = 1.05x[/tex]

Express 1.05 as a fraction

[tex]z = 105\% * x[/tex]

The percentage is 105%

Answer:

17 1/4 miles per hour

Step-by-step explanation:

First let's convert the mixed number to a fraction so it is easier to work with:

5 3/4 = (5*4 + 3)/4 = 23/4 miles.

Because she travelled it in a third of an hour, she could do it 3 times in 1 hour.

Because of this to get speed we divide the distance by the time taken.

23/4 divided by 1/3 is the same as saying 23/4 times 3:

(3*23)/4 = 69/4 = 17 1/4 miles per hour

Answer:

17 1/4

Step-by-step explanation:

Step-by-step explanation:

The number of way to select 2 employees from 40 is 40C2.

The number of way to select 2 employees from 22 is 22C2.

So the probability of the two employees having single-vision correction is just the number of ways to select the 22 employees (22C2) divided by the total number of ways to select 2 employees (40C2).

22C2 / 40C2 = 77/260

We can use the same technique for the bifocal employees.

18C2 / 40C2 = 51/260

Answer:

113.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The 7 in the hundreths place would bring the 9 up. So your answer would then be 113.10

Answer:

Step-by-step explanation:

The £150 must be split 5 ways with Ivan getting 4 of those splits.

£150/5

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

£30

Ivan gets £30 times 4 (remember, Ivan gets a four split).

Tanya gets £30.

Ivan gets £120.

Tanya gets £30.

£120

- £30

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

£90

Ivan gets £90 more than Tanya.

Hope this helped!

Answer:

Step-by-step explanation:

answer is that i dont know

Answer:

30

Step-by-step explanation:

7! = 7*(2*3)*5*(2*2)*3*2*1 = [tex]7*5*3^{2}*2^{3}[/tex]

Ignoring the 7, there are 24 factors of this number as you will multily each of the factors of 6! by 7 to get each of the factors of 7! divisble by 7. But since you ignored the 7, you need to bring back the possible values of 7*6, 7*5, 7*4, 7*3, 7*2, 7*1.

24 + 6 = 30 divisors

There are 60 divisors of 7!.

The factorial function can be used to determine the ordered set of numbers or how many different ways things can be arranged. Daniel Bernoulli discovered the factorial function's well-known interpolating function. Numerous mathematical concepts, including probability, permutations and combinations, sequences and series, and so on, make use of the factorial idea.

Given 7!

We must first write 7! as the product of prime numbers, as shown below. The highest power of a prime number is typically divided by N! is given by  [tex]s_{p}[/tex](N!)=N/p + N/p² + N/p³ +.......

Since you want to count the number of terms that are multiples of p and contribute one p to N!, the first term appears. However, when you have multiples of p², you are not simply multiplying one p; rather, you are multiplying two primes p to the product. Therefore, you now count and add the number of multiples of p² that are less than N.

let for p =2

[tex]s_{p}[/tex](7!) = 7/2 + 7/4 + 7/8 + ......... = 3 +1 = 4

we have to repeat this process for 3,5,7

we get   7!=2⁴ x 3² x5¹ x7¹

Now, the number of divisors of 7 is equivalent to number of ways of selecting zero or more objects from the group of identical objects

=(4 +1)(2 + 1)(1 + 1)(1 + 1) = 60 includes 1 and 7.

Hence the divisors of 7! is 60.

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Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]

where n is positive integer and n[tex]\neq[/tex] 0

a.)

P(x) = 2x³ + 32 - 4x + 4c

It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴

It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.

c.)

G(x) = 2[tex]x^{-3}[/tex] + 5

It is not a polynomial function because -5 is not a positive integer.

d.)

F(x) = 2x³ - 5x + 33x²

It is a polynomial function.

The standard form of a polynomial is expressed as;

[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]

The leading power of a polynomial must be greater than 2 and must be a positive integer.

a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

b) For the function [tex]G(x)=2x^{-3}+5[/tex]

This is not a polynomial because the leading degree of the polynomial is a negative integer

c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]

This is not a polynomial because the leading degree of the polynomial is a fraction.

d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

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Answer:

The answer is 254.34 in².

Step-by-step explanation:

Given that the diameter is 2 times the radius. So the radius will be 9 in. Next, you have to find the area of circle, A = π × r² :

A = π × r²

Let π = 3.14, r = 9,

A = 3.14 × 9²

A = 254.34 in²

Answer:

-87

Step-by-step explanation:

Answer:

-87

Step-by-step explanation:

Answer:

14.4 ft

Step-by-step explanation:

The triangles formed by both ladders are similar to each other. Therefore, each corresponding sides will be proportional.

Thus, x + 8 would represent how far up the 10-foot ladder reaches the wall.

Therefore:

18/10 = (x + 8)/8

9/5 = (x + 8)/8

Cross multiply

9*8 = 5(x + 8)

72 = 5x + 40

72 - 40 = 5x

32 = 5x

Divide both sides by 5

32/5 = x

x = 6.4

The 10-foot ladder would be, 6.4 + 8 = 14.4 ft far up the wall.

Answer:

Arc length = 13.818

Step-by-step explanation:

First, you will need to convert the 132 degrees to radians.

To convert, you'll have to multiply by π/180. So 132 x π/180 = 2.303.

Now with that value, you'll have to multiply by the radius to obtain the arc length.

2.303 x 6 = 13.818

Central angle = 132

Radius = 6

Diameter = 6 x 2 = 12

Arc length = 13.818

whats the question? what does it want. ill edit this when you give me the question.

Step-by-step explanation: