Solve the right triangle. Round decimal answers to the nearest tenth.
MK= 8
40°

The sum of two given algebraic expressions is (9x-4)/(x²-4). Therefore, option C is the correct answer.

Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.

The given algebraic expressions are 7x/x²-4 and 2/x+2

Here, 7x/x²-4 can be written as 7x/(x+2)(x-2)

Now, 7x/x²-4 + 2/x+2

= 7x/(x+2)(x-2) + 2/x+2

= (7x+2(x-2))/(x+2)(x-2)

= (7x+2x-4)/(x²-4)

= (9x-4)/(x²-4)

Therefore, option C is the correct answer.

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Answer:

1/32

Step-by-step explanation:

1st step:  1/4 divided by 8, which is 1/4 divided by 8/1

Then for the 2nd step, you have to find the reciprocal of the 2nd fraction, so you just reverse it

2nd step:  1/4 X 1/8

3rd step.  1X1/4X8 = 1/32

You can also think of it like this.  He started with 4 pieces.  Each piece was then divided into 8 parts.  So 8X4=32 is the total number of pieces.  He's only eating 1 of those, so he's only eating 1/32

Answer:

16

Explanation:

Let "x" be the number

===========

→ integers less than 17 are 16, 15, 14, 13, 12, 11, 10, 9, ...

⇒ integers are whole numbers, not negative, does not include decimals or fractions.

So,

16 is the largest integer which is less than 17

Its simple, really. The answer would be 3,500 divided by 5. The answer would be 700.

Answer:

it should be cost, because when there is more quantity of something there will be less price.

Answer:

See below ~

Step-by-step explanation:

Writing the equation

Solutions

Answer:

x - 40

Step-by-step explanation:

3[tex]x[/tex] = 120

[tex]\frac{3x}{3\\}[/tex] = [tex]\frac{120}{3}[/tex]

[tex]x[/tex] = 40

By the Vertical Angle theorem,

    ⇒ [tex]3x = 120[/tex] ⇒ [tex]x = 40[/tex]

Thus x = 40

Hope that helps!

Using it's concept, it is found that there is a 0.79 = 79% probability that he or she is content with the vacation allowance.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 500 - 105 = 395 out of 500 employees are content with the vacation allowance, hence:

p = 395/500 = 0.79.

There is a 0.79 = 79% probability that he or she is content with the vacation allowance.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

this should help ya ........

Step-by-step explanation:

a.

[tex]f(2) = 0[/tex]

b.

[tex]f(x) = 4 \\ f(5) = 4 \\ x = 5[/tex]

c.

[—3,2] union [3.4, 4]

Answer:

Option D: $32.50

Step-by-step explanation:

3 × 8.50 = 25.50

2 × 5 = 10

[25.50 + 10] - 3

[35.50] - 3

= $32.50

Answer:

2880 packages/min

Step-by-step explanation:

48 × 60 = 2880

Answer:

2,880 packages per minute

Step-by-step explanation:

Given:

60 seconds per minute

48 packages/second

Solve:

48 package/sec x 60 sec = 2,880 packages/min

Hope this helps!

-17*C

Step-by-step explanation:

It's decreases so it's going to be colder

Start-8

1) - 9

2) - 10

3) - 11

4) - 12

5) - 13

6) - 14

7) - 15

8) - 16

9) - 17

Or

-8-9= - 17

Hope this helps!

The solution to the given equation is 4 and -4.

Fractions are the numerical values that are a part of the whole.

A whole can be an object or a group of objects.

The given equation is;

[tex]\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}[/tex]

A fraction is used to represent the portion/part of the whole thing.

The solution of the fraction is determined in the following steps given below.

[tex]\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}\\\\\rm \dfrac{y(y+4)-4(y-4)}{(y - 4)(y+4)}= \dfrac{32}{(y-4)(y+4)}\\\\y^2+4y-4y+16=32\\\\y^2=32-16\\\\y^2=16\\\\y=\pm 4[/tex]

Hence the solution to the given equation is 4 and -4.

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Answer:

A Edge 2022

Step-by-step explanation:

The resulting value of k is 12/7.

Fractions are the numerical values that are a part of the whole. A whole can be an object or a group of objects.

The steps below are presented in order to arrive at the value of k of the given equation.

First, multiply both sides of the equation by the variable k since the left-hand side of the equation has it in the denominator.

The solution of the equation will be;

[tex]\rm \dfrac{k+12}{k}(k) = 8(k)\\\\\dfrac{k+12}{k}=8\\\\k+12=8k\\\\8k-k=12\\\\ 7k=12\\\\k =\dfrac{12}{7}[/tex]

Hence, the resulting value of k is 12/7.

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Answer for 1st question:

The answer is A. 4/20

Step-by-step explanation:

The probability of landing on a vowel would be 2/5.

The probability of landing on an even number would be 2/4.

Now we just need to solve the probability of landing on a vowel and an even number.

2/5 x 2/4 = 4/20.

Thereore, the probability of landing on a vowel and an even number is 4/20.

Answer for 2nd question:

The answer is B. 1/20

Step-by-step explanation:

The probability of landing on a C would be 1/5.

The probability of landing on a 4 would be 1/4.

Again, we just need to solve the probability of landing on a C and a 4.

1/5 x 1/4 = 1/20.

Therefore, the probability of landing a C and a 4 is 1/20.

Answer:

D

Step-by-step explanation:

The dots make a trapozoid

Answer:

( x + 4 ) ( x + 1 )

Step-by-step explanation:

x² + 5x + 4

= x² + 1x + 4x + 4

= x ( x + 1 ) + 4 ( x + 1 )

= ( x + 4 ) ( x + 1 )

Hence, factorised.

Answer:

A

Step-by-step explanation:

7s-3s-2t+7t-4st

4s+5-4st

Answer:

20 i'ma say 20

Step-by-step explanation:

Explanation

Answer:

Explanation:

[tex]\sf \dfrac{20}{32} = \dfrac{20}{32} \ \div \ 1 = \dfrac{20\div 4}{32 \div 4} = \dfrac{5}{8}[/tex]

Follow the sequence. and divide the multiply the following fraction.

=======

Answer:

[tex]\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}[/tex]

Step-by-step explanation:

When reducing fractions to their simplest equivalent, we need to divide the numerator and denominator by their highest common factor.

Factors of 20:   1, 2, 4, 5, 10, 20

Factors of 32,    1, 2, 4, 8, 16, 32

Therefore, the highest common factor is 4.

[tex]\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}[/tex]

Answer: b) slope: -1, y-intercept 12

Step-by-step explanation:

The equation here is in slope-intercept form (y=mx+b)

In slope-intercept form m is the slope and b is the y-intercept

m=-1 and b=12 so the answer is b

slope: -1, y-intercept: 12

Hope it helps.

Do comment if you have any query.

Answer:

the answer is 12

Step-by-step explanation:

you toss the dice and coin let’s say it lands on 2 and heads there is one possibility. there is only 6 sides to the dice and 2 sides to a coin. 6 x 2 = 12.

Answer: coin = 26 sided die = 62 × 6 = 12

Step-by-step explanation: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes. The answer would be 12. Hope that helps!!

Answer:

I think it's 10 or 10.5 not sure

Step-by-step explanation:

Answer:

D. 0

Step-by-step explanation:

|9 - 5| = |4|, which equals 4. |5 - 9| = |-4|, which also equals 4.

4 - 4 = 0.

If your answer is in absolute value and it is negative, the outcome will always be positive. Hope this helps.

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-3)}}}\implies \cfrac{-3}{4+3}\implies -\cfrac{3}{7}[/tex]

Answer:

4 + 16n

Step-by-step explanation:

4 (1 + 4n)

Use the distributive property & expand the expression .

= (4*1) + (4*4n)

= 4 + 16n

________

Hope it helps ⚜

Answer:

[tex]\Longrightarrow: \boxed{\sf{4+16n}}[/tex]

Step-by-step explanation:

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

Multiply expand.

4*1=4

4*4n=16n

Rewrite the expression down.

= 4+16n

I hope this helps! Let me know if you have any questions.

Answer:

8 bracelets

Step-by-step explanation:

Each time when we we cut the ribbon for making a ribbon, the length will be reduced. So, repeated subtraction is division.

To find the number of bracelets, divide the total length of the ribbon by the length required for making a bracelet.

Fraction division:

Use KCF method

Step1: Keep the first fraction

Step2: Change division to multiplication

Step3: Flip the second fraction

Number of bracelets = total length ÷ length required for making a bracelet.

                                  [tex]= 5\dfrac{1}{3} \div \dfrac{2}{3}\\\\= \dfrac{16}{3} \div \dfrac{2}{3}\\\\= \dfrac{16}{3}*\dfrac{3}{2}\\\\= 8[/tex]