If m arc ST = 96°, then m∠Q = ________.

m∠R
m∠S
m∠T
m∠W

Answer:

Option A.

Step-by-step explanation:

Expression given in the question is (f g)(5).

We know when two functions are f(x) and g(x) then (f g)(x) represents the multiplication of two functions.

(f g)(x) = f(x).[g(x)]

For x = 5

(f g)(5) = f(5).g(x)

It may be represented by the operation as

(f g)(5) = f(5) × g(x)

Therefore, option A. will be the answer.

The function (f g)(5) can be expressed as f(5) × g(5) as an equivalent expression.

The equivalent expression is determined as follows;

Two given functions such as  (f(5) and g (5), can be represented by the multiplication of the two functions as shown below.

(f g) (5) = (f (5) x g (5)

(f g) (5) = (f (5) x g (5)

Thus, the function (f g)(5) can be expressed as f(5) × g(5) as an equivalent expression.

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Answer:

The fraction of the work that are drawings is [tex]\frac{7}{20}[/tex]

Step-by-step explanation:

we have that

100%=100/100=1

we know that

The sum of the fractions of the works must be equal to 1

Let

x -----> the fraction of the work that are drawings

so

[tex]1=\frac{1}{4}+\frac{2}{5}+x[/tex]

Solve for x

[tex]1=\frac{13}{20}+x[/tex]

Subtract 13/30 both sides

[tex]x=1-\frac{13}{20}[/tex]

[tex]x=\frac{7}{20}[/tex]

Answer:

3/2

Step-by-step explanation:

Answer:

1 [tex]\frac{5}{49}[/tex]

Step-by-step explanation:

1. Multiply the numerators

6 x 9 = 54

2. Multiply the denominators

7 x 7 =49

3. You would get 54/79

4. Simplify

When simplifying you would get 1 [tex]\frac{5}{49}[/tex]

Answer:

10+x=14; x=4

10+x=14

-10     -10

The 10's cancel out

x=4

Answer:  10+x=14

Step-by-step explanation:

The word "sum" implies addition, so we know we are going to be adding some values. The next part of the sentence just give you your two values, 10 and a number (x). We know to add these two together because of the word sum. The final part of the sentence is "is equal to 14" this simply mean =14. Put all the pieces together and you get : 10+x=14

Answer:

[tex]10 - x[/tex]

Step-by-step explanation:

the difference between a number and 10 simply means ,that number minus 10.

Let that number be x

therefore the difference between x and 10 is written as

[tex]x - 10[/tex]

Answer:

x-10

Step-by-step explanation:it simply means to subtract a number from ten

Answer: He read 6 books in 1 month. 6:1 is the unit rate

Step-by-step explanation:

12/2 = 6

Answer:

Equation of the line is y=-x+3

Rewritten as an inequality is y ≤ -x+3

Step-by-step explanation:

You find the slope by doing rise over run which ends up being -1/1, so just -1.

The y-intercept is 3.

Slope intercept form is y=mx+b, so y=-x+3 is the answer in slope intercept.

Then ≤ is used because the line is going down and it's shaded to the left, also the line isn't broken, it's solid which means it's equal to, so it would be less than or equal to.

Answer:

Step-by-step explanation:

The answer is 1-4/5

Answer:

164

Step-by-step explanation:

pemdas

parentheses first: 4(25+5+1+10) = 4(41)

parentheses around only on term means multiply

4(41)= 164

Answer:

164

Step-by-step explanation:

PEMDAS requires you to do whatever is asked inside the parenthesis first. So in this case, add all those together to get the answer of 41, then multiply by 4 on the outside

Answer: One hour/two miles

Step-by-step explanation:

Distance=Rate*Time

Distance=6 miles

Time=3 hours

Rate is unknown

6Miles=3Hours(Rate)

6Miles/3Hours=Rate

2Miles/1hour

For each hour that passes, he can walk two miles

Answer:

-9.5

Step-by-step explanation:

2x + 21 =

2x + 20 = 1 (C.P)

2x = 1-20

2x = - 19

x= - 19/2

x = - 9. 5

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad H(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+1}{2}~~,~~\cfrac{y+0}{2} \right)~~=~~\stackrel{\stackrel{Midpoint}{M}}{(3~,~0)}\implies \begin{cases} \cfrac{x+1}{2}=3\\[1em] x+1=6\\ \boxed{x=5}\\ \cline{1-1} \cfrac{y+0}{2}=0\\[1em] \boxed{y=0} \end{cases}[/tex]

Answer:

$1,031.25 will be in the account

Answer:

$1031.25.

Step-by-step explanation:

The formula for simple interest is

I = PRT/100 so substituting:

I = 750 * 7.5 * 5 / 100

Interest I =  $281.25.

Amount in account =  750 + 281.25

=  $1031.25.

Hey!

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

Explanation and Solution:

A polygon has to at least have 360° total to form a polygon.

Since there are 24 sides you divide 360 by 24.

360 / 24 = 15

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

Answer:

The measure of each exterior angle has to be at least 15° to form a complete polygon of 24 sides.

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

Hope This Helped! Good Luck!

Answer:

f=3/2

Step-by-step explanation:

33+12f=51

1) subtract 33 on both sides:

12f=18

2) Divide both sides by 12:

f=18/12

3) Simplify the fraction:

f=3/2

Answer:

720

Step-by-step explanation:

Percentage share owned by Jillian = 60%

Total shares in corporation = 1200

Number of shares owned by Jillian = [tex]\frac{60*1200}{100} = 720[/tex]

Answer:

x=0, y=-5

Step-by-step explanation:

The system is

(1)  5x+3y=-15  

(2) -8x-2y=10

Let's solve it by elimination.  In order to do it, you have to multiply the equations by suitable numbers in such a way that when you add the 2 equations, one of the unknowns is eliminated

Multiply (1) by 2 and (2) by 3

(1) 10x+6y=-30

(2) -24x-6y=30

Add the two equations

10x-24x+6y-6y=-30+30 ----> -14x=0---->x=0

Now replace this value in any equation, for example in (1)

6y=-30 ----> y=-30/6----> y=-5

Answer:  The required solution is (x, y) = (0, -5).

Step-by-step explanation:  We are given to solve the following system of equations by the method of substitution or elimination :

[tex]5x+3y=-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-8x-2y=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

We will be solving the given system by substitution method.

From equation (ii), we have

[tex]-8x-2y=10\\\\\Rightarrow -4x-y=5\\\\\Rightarrow y=-4x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

Substituting the value of y from equation (iii) in equation (i), we get

[tex]5x+3(-4x-5)=-15\\\\\Rightarrow 5x-12x-15=-15\\\\\Rightarrow -7x=0\\\\\Rightarrow x=0.[/tex]

From equation (iii), we get

[tex]y=-4\times0-5=-5.[/tex]

Thus, the required solution is (x, y) = (0, -5).

Answer:

$5.25

Step-by-step explanation:

if it cost 75 cents to play 3 games, that means it cost 25 cents per game. Multiply 21 games by 25 cents per game and you get 525, or $5.25.

Answer:

sin³x

Step-by-step explanation:

Using the trigonometric identities

1 + cot²x = csc²x

cscx = [tex]\frac{1}{sinx}[/tex]

Given

[tex]\frac{sinx}{1+cot^2x}[/tex]

= [tex]\frac{sinx}{csc^2x}[/tex]

= [tex]\frac{sinx}{\frac{1}{sin^2x} }[/tex]

= sinx × sin²x

= sin³x

Answer:

14 to 20 or 7 to 10 is the ratio

Final answer:

The ratio of blue marbles to green marbles is 14:20, which simplifies to 7:10 or as a fraction, 7/10.

Explanation:

The ratio of blue marbles to green marbles from a bag containing 4 black marbles, 14 blue marbles, 8 brown marbles, and 20 green marbles is simply the number of blue marbles divided by the number of green marbles. To express this ratio, we would do the following:

Count the blue marbles: There are 14 blue marbles.

Count the green marbles: There are 20 green marbles.

Write the ratio: The ratio of blue marbles to green marbles would be 14 blue marbles to 20 green marbles.

Express as a fraction or with a colon: As a fraction, this is 14/20, which simplifies to 7/10. Or, using a colon, it is represented as 14:20, which also simplifies to 7:10.

Answer:

$74

Step-by-step explanation:

25*32 will be the total amount he spent at first. ($800)

He sells 22 calculators at 40$, 22*40 = 880.

He was unable to sell 3, and he had to pay 2$ per (2*3 = 6)

He had an 80 dollar profit before he returned them, (880-800).

Then he returned three for 6$ (80-6)

His end profit was 74.

k/7=32/56

To solve for k, cross multiply:

(k x 56) = (7 x 32)

Simplify:

56k = 224

Divide both sides by 56:

k = 224 / 56

k = 4

After solving the given mathematical expression which is $5.40 + $8.70 + $6.30 , we get value equal to $20.40

What is addition ?

The process of adding two or more numbers together or combining things into one group is known as addition.

The given arithmetic expression is $5.40+$8.70+$6.30.

Let's solve the given mathematical expression.

To add decimal numbers , place the decimal point in line with the specified decimal points, align the decimal numbers in accordance with their place values. If we look at the given decimals, we can see that they are like decimals because they have two digits after the decimal point. Therefore, we will arrange them in the proper sequence and perform standard addition rule.

i.e.,

5.40 + 8.70 + 6.30

We can write this as sum of :

= (5+8+6) + (0.40 + 0.70 + 0.30)

Now , solving to get the value :

= (19) + (1.40)

= $20.40

Therefore, after solving the given mathematical expression which is $5.40 + $8.70 + $6.30 , we get value equal to $20.40

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Answer:

A. Counterclockwise rotation 90 about the origin

Step-by-step explanation:

All we have to do is make the 270°-clockwise [90°-counterclockwise] rotation to map it exactly on q' and p'.

I am joyous to assist you anytime.

Option (A) counterclockwise rotation 90° about the origin makes the the parallel lines p and q will coincide with parallel lines p' and q' is the correct answer.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction on the coordinate plane. In both transformations the size and shape of the figure stays exactly the same.

For the given situation,

The graph shows the parallel lines p, q and p', q' in the plane.

The parallel lines p and q coincide with parallel lines p' and q' when we transformed the parallel lines by counterclockwise rotation 90°  about the origin.

After this transformation of rotation, the parallel lines p and q will coincide with parallel lines p' and q'.

Hence we can conclude that option (A) counterclockwise rotation 90° about the origin makes the the parallel lines p and q will coincide with parallel lines p' and q' is the correct answer.

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Answer:

(×-8)5=20

(5×-40)=20

5×(-40+40)=(20+40)

5×=60

5×÷5=60÷5

×=12

Based on the equation given, the value of the number is 12.

Let the number be represented by x.

Based on the information given, the equation to solve the question will be:

(x - 8) × 5 = 20

5x - 40 = 20

Collect like terms

5x = 20 + 40

5x = 60

Divide both side by 5

5x/5 = 60/5

x = 12

Therefore, the number is 12.

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Answer:

$ 2330

Step-by-step explanation:

a = $240

Earning at the end of fifth week = $ 680

increase in earnings per weak = ( 680 -240)/2     = 440/2 =110

d =110

l = a + (n-1)d

a20 = 240 + (19 * 110 ) = 240 + 2090 =   2330

Answer:2334

Step-by-step explanation:

Answer:

The anwser is 2.8000

Step-by-step explanation:

 You look at the tenth place its 8 :

   2.8151

Then you look to the right which is 1

is 1 more than 5 or less

1 < 5

8 stays the same but 1, 5, and 1 turn into zeros

Answer:

2.8151 rounded to the nearest tenth is 2.8, because tenths lie right after the decimal

I hope i helped :)

Answer:

E.) 5 cm

Step-by-step explanation:

The shapes are congruent and are the same size,  side TU is the same as NP. If TU is 5, then NP is 5.

Answer:

E. 5 cm.

Step-by-step explanation:

As the 2 figures are congruent then corresponding sides are congruent.

NP corresponds to UT = 5 cm.

So NP is  5cm long.

(If we rotate  Figure 2 through 180 degrees anticlockwise we see that it fits exactly on to figure 1.)