Robert earned $10, which was 4 less than twice what Eric earned. How much money
did Eric earn?

The number 2 should be added to both sides of the given linear

equation to enable the variable x be made the subject of the equation.

Response:

The given equation is presented as follows;

[tex]\mathbf{\dfrac{x}{11} - 2} = 3[/tex]

The solution of the above equation van be found by making x the

subject of the equation.

Removing the 2 from the left hand side of the equation will isolate the [tex]\dfrac{x}{11}[/tex]

, from which the value of x can be found by multiplying by 11.

First operation;

To remove the 2, we have;

[tex]\dfrac{x}{11} - 2 \mathbf{+ 2 }= 3 + 2[/tex]

[tex]\dfrac{x}{11} + 0 = 3 + 2 = 5[/tex]

[tex]\dfrac{x}{11} = 5[/tex]

Second operation;

[tex]\dfrac{x}{11} \times 11 = 5 \times 11 = 55[/tex]

x = 55

The first operation that needs to be needed to solve the given equation

is therefore;

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Answer: It would be addition

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Answer:

The range of a function is the set of outputs the function can give

The y-axis on the graph shows as the output of the function

From the graph, we can see that the outputs of this specific function range from 0 to 5

Therefore, the range of this function is:   [0 , 5]

Answer:

21 Months

Step-by-step explanation:

If he already has $225, we can do 750 - 225 to get 525. $525 represents how much more money he needs to reach his goal of $750. So we can do 525 divided by 25, since that is how much he makes per month, giving us 21. 21 is how many months it will take until he gets to $750 without spending anything.

Answer:

y=3x-1

Step-by-step explanation:

y=mx+b

y=3x+b

y=3x-1

Answers:

If x is a probability value, then [tex]0 \le x \le 1[/tex]

A probability of 0 means "impossible" while a probability of 1 means "100% certain".

Answer:

3k

Step-by-step explanation:

Answer:

it would be option C)  (x – 10)(x + 2)(x + 6)

Step-by-step explanation:

You have to divide x^3 -2x^2 -68x -120 by x + 2 to get x^2 - 4x -60 and then factor

The factors of the function are  (x + 2)(x - 10)(x + 6).

Any expression which is formed by using constants, variables, and exponents is polynomial, it is solved with the help of mathematical operators. Polynomial is made by the parts "poly" and "nominal"  here "poly" means many and "nomial" means terms.

Given f(-2) = 0

f(x) = x³ - 2x² - 68x - 120  .........(1)

one factor of function is x + 2

divide the function by x + 2

multiply x² by x +2

x²(x + 2) = x³ + 2x²

subtract the term from equation 1 we get,

x³ - 2x² - 68x - 120 - x³ - 2x²

= -4x² - 68x -120 ......(2)

now multiply -4x by x + 2

-4x(x + 2) = -4x² - 8x

subtract the term from equation 2 we get

-4x² - 68x -120 - (-4x² - 8x)

-60x - 120 ........(3)

again multiply -60 by (x + 2)

-60(x + 2) = -60x - 120

subtract from equation 3

-60x - 120 - (-60x - 120) = 0

The quotient we get from the division is,

x² - 4x - 60

here are the factors of x² - 4x - 60 = (x - 10)(x + 6)

Hence, the factors of polynomials are (x + 2)(x - 10)(x + 6).

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Answer:

a=9b=12c=15

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

13+11=24

Answer:

Amount of cd after 3 years=2240

Step-by-step explanation:

principal==$2000

simple interest=4%

interest /year =80

for 3 years =80 x 3 = 240

Answer:

Step-by-step explanation:

If COP and TOD are vertical angles, then they are equal to each other because vertical angles are equal.

m COP  =  m TOD

Given

COP = 11x - 17

TOD = 9x + 11.

Substitute:

11x-17 = 9x+11

11x-9x = 11+17

2x = 28

x = 28/2

x = 14

Get <COD

<COP = 11(14)-17

<COP = 154-17

<COP = 137

<COD = 180-<COP

<COD = 180-137

<COD = 43°

Similarly:

<POT = 180 - <TOD

<POT = 180 - [9(14)+11]

<POT = 180 - 137

<POT = 43°

After translate the sentence into equation, the equation is,

⇒ 8b - 9 = 7

Where, b is any number.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The algebraic expression is,

⇒ Nine less than the product of 8 and a number is 7.

Now, Let a number = b

So, We can formulate the mathematical expression as;

⇒ 8 × b - 9 = 7

⇒ 8b - 9 = 7

Thus, The equation is,

⇒ 8b - 9 = 7

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Answer:

x=5, y=18

Step-by-step explanation:

y=2x+8

x= (y-8)/2

Substitute in second equation,

y= 4((y-8)/2) -2

y= 2(y-8)-2

y= 2y-16-2

16+2=2y-y

18=y

Replace y value in first equation to find x,

18= 2x+8

18-8=2x

10=2x

5=x

Answer:

are you beginer band

Answer: 125/27 as a decimal 4.62963

Step-by-step explanation:

((32)(5−2))−2(3(5−1))

((32)(5−2))−2(3(5−1))

Answer: positive 7

Step-by-step explanation:

Cardinal number of the set containing all negative integers greater than −8 is 7.

In mathematics,cardinal numbers or cardinals for short, are generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number: the number of elements in the set.

Now the given set is all negative integers greater than -8.

Let S be the set,so

S = {-7,-6,-5,-4,-3,-2,-1}

now to find the cardinality, we see that set S has 7 elements.

Cardinality of Set S is 7.

Hence, cardinal number of the set containing all negative integers greater than −8 is 7.

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Answer:

14

Step-by-step explanation:

Answer:

the answer is 20

Step-by-step explanation:

Answer:

Your answer is: 20

One of two or more expressions that are multiplied together to get a product.

Factor the numerator and denominator and cancel the common factors.

Step-by-step explanation:

Hope this helped : )

Answer:

1

Step-by-step explanation:

since 1*1 will always be 1, 1 raised to any power will be 1.

Answer:

so you add then multiply then subtract

Step-by-step explanation:

Answer:

First we estimate the percent's. 8.5% - 10%, 18% - 20%. Then we do the equation. If you add percent's you get 30% multiply that by 40 and you get 12. Add that to you problem and you get $52.  

Step-by-step explanation:

Since the tax and gratuity were 4 and 8 dollars you can just add those up to the 40, but I did it another way.

This is the sample response if you want a better explanation.

The gratuity is about 20% of $40, which is $8. The tax is about 10% of $40, which is $4. So, the total cost is about $40 + $8 + $4 = $52.

Answer:

X is equal to -10

Step-by-step explanation:

#1. Multiply 6 to (1+x). Doing this makes this equation: 6+x+x=-14

#2. Move 6 to the other side of the equation, to the side of the answer and change its abbsolute value. Doing this will make x+x=-14-6.

#3. Simplify both sides. 2x=-14-6  ---->  2x=-20

#4. divide -20 by 2, this equals -10. x is equal to -10. WooHoo!

Answer:

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

Step-by-step explanation:

6(1+x)+x=-14

(multiply bracket with 6)

6+6x+x=-14

(-6 for both sides)

6x+x=-20

(add x terms together)

7x=-20

(divide by 7 for both sides)

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

Answer:

This year, the circus had 35,441 guests.

Step-by-step explanation:

You just subtract 8,034 from 43,475.

I really hope this helped you!

2 hours and 40 minutes

Step-by-step explanation:

Let a be Mrs Santos

Let b be Mr. Salonga

Mrs. Santos can cook the menu for a party in 4 hours

a = 4 hours

Mr. Salonga can work twice as fast as she can.

b = 2 ( 4) = 8 hours

The word time formula is

1/a +1 /b = 1/t

Where t is the total time

Substitute the values

1/4 + 1/8 = 1/t

1/4 + 1/8 = 2/8 + 1/8 = 3/8

Therefore

3/8 = 1/t

Doing cross multiplication

3*t = 1 * 8

3t = 8

Dividing both sides by 3

3t/3 = 8/3

t = 8/3 hours

t =2 \frac{2}{3}t=2

3

2

hours or 2 hours and 40 minutes

Answer:

x=6;y=9

Step-by-step explanation:

First you try to find y in the second equation --> y/12=3/4

You divide 12 by 4 to see how many times y/12's denominator and numerator is bigger. 12/4 is 3, so to find y you multiply 3*3. so 9/12=3/4. To check this, you multiply 3 on each side of the fraction -->

3*3=9  4*3=12.

Then, you can just put y into the first equation, which is x/y=2/3. Pluck that in, and you get x/9=2/3. Do the same thing you did in the first step, and you should get 6/9=2/3. Hope this helped :)

Answer:

x=6; y=9

Step-by-step explanation: