You have a new goal of saving at least $4,500 over the course of the next year. you already have $900 saved. by how much would you need to increase your monthly net savings in order to meet this goal? $100 $150 $200 $250

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:

Answer:

y = 8x + 5

y = 8 * 6 + 5

y = 48 + 5

y = 53

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's find the equivalent expressions ~

#1. PROBLEM

[tex]\qquad \tt \dashrightarrow \:11x - 4x + 10x[/tex]

[tex]\qquad \tt \dashrightarrow \:21x - 4x[/tex]

[tex]\qquad \tt \dashrightarrow \:17x[/tex]

#2. PROBLEM

[tex]\qquad \tt \dashrightarrow \:2(1 + 8y)[/tex]

[tex]\qquad \tt \dashrightarrow \:(2 \times 1) + (2 \times 8y)[/tex]

[tex]\qquad \tt \dashrightarrow \:2 + 16y[/tex]

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!

Answer:

40°

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

if the measurement of the two angles combined is 75 and one of the angles is 35, we can subtract 35 from 75 to get 40, which should be the answer for n, and you can check it by adding 40 and 35 to get 75, the total of both angles

Answer:

D

Step-by-step explanation:

The dots make a trapozoid

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!

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]

-7^2 = -(7 x 7) = -49

---Because the negative is on the outside and there are no parenthesis, the product will be negative

-49 - - 1 = -49 + 1 = -48

---Subtracting a negative is the same thing as adding a positive!

Answer: -48

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!

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.

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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:

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.

The completed table for the rule y = x+6 for given values of x (2,0,4) will have the corresponding values of y as 10, 8, 12 respectively.

Function is a type of relation, or rule, that maps one input to specific single output.

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

For this case, we're given the rule y = x + 8

The table given is:

 x     y

 2

 0

 4

Evaluating 'y' for the given values of x from the table according to the rule 'y  = x + 8', we get:

y = x + 8

y = 2 + 8

y =10

y = x + 8

y = 0 + 8

y =8

y = x + 8

y = 4 + 8

y =12

Thus, the completed table would be:

 x     y

 2     10

 0      8

 4      12

Thus, the completed table for the rule y = x+6 for given values of x (2,0,4) will have the corresponding values of y as 10, 8, 12 respectively.

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Answer:

1,4,5,8,14

Step-by-step explanation:

count up and see which ones come up first

Answer:

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

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

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: 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.

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:

( 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:

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:

I think it's 10 or 10.5 not sure

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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

4s+5-4st

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:

The scores from Mrs. Rijo’s class are the closest to the class mean.

Step-by-step explanation:

Just took the test