Simplify the expression.

18a + 12x − 12a + 15x

A) 6a + 27x
B) 6a − 3x
C) 30a − 18x
D) −30 −3x

Answer:

x + a + 2

Step-by-step explanation:

g(a) = a² + 2a

g(x) - g(a) = x² + 2x - a² - 2a

= x² - a² + 2x - 2a

= (x - a)(x + a) + 2(x - a)

= (x - a)(x + a + 2)

[g(x) - g(a)] ÷ (x - a)

= x + a + 2

Answer:

[tex]A(x) = 2x^2-22x+144[/tex]

Step-by-step explanation:

We are given the following in the question:

Area of room =

[tex]3x^2 + 2x[/tex]

Area of rug =

[tex]x^2 + 24x - 144[/tex]

We have to find the area of of the room not covered by the rug.

Area of of the room not covered by the rug =

Area of room - Area of rug

[tex]A(x)=(3x^2 + 2x) - ( x^2 + 24x - 144)\\A(x)=3x^2 + 2x-x^2 -24x + 144\\A(x)=(3x^2-x^2)+(2x -24x) + 144\\A(x)=2x^2-22x+144[/tex]

is the required expression for the area of floor not covered by the rug.

Answer:

Step-by-step explanation:

1 hour=60 min

7 hours=60×7=420 min

number of blink=420×13=5460

Final answer:

To calculate the number of times a person will blink in 7 hours at a rate of 13 blinks per minute, you multiply 13 by the total number of minutes in 7 hours (420) to get 5,460 blinks.

Explanation:

If people blink about 13 times per minute, we can calculate how many times they blink in 7 hours by multiplying the number of blinks per minute by the number of minutes in 7 hours. First, let's find out how many minutes are in 7 hours:

7 hours x 60 minutes per hour = 420 minutes

Now, we'll multiply the number of minutes by the number of blinks per minute:

420 minutes x 13 blinks per minute = 5,460 blinks

Therefore, a person will blink 5,460 times in 7 hours. This is a simple arithmetic multiplication problem that provides us with the total number of blinks over a given period.

Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two

It the answer

Answer:Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two

Step-by-step explanation:

180Answer:

Step-by-step explanation:

Answer:

10%= 40$ 30%=120$

Step-by-step explanation:

ok so u earn 400$ at a yard sale. you divide it by 100 400/100=4. ok so then you multiply four by 10=40 and that is 10% multiply it by 30 u get 120 or 30%

sorry for the bad spelling

To find out how much to donate, you need to understand what percentage means. 10% of $400 is $40 and since 30% is 3 times as much, you should donate $120.

To solve this problem, you first need to understand what 10% of a quantity means. 10% of a quantity is simply that quantity divided by 10. If you want to donate 30% of the $400 earned at your yard sale to charity, you first need to find 10% of $400, which is $400 divided by 10. This gives you $40.

Since 30% is the same as three times 10%, you just need to multiply your answer for 10% by 3. Therefore, you should donate $40 times 3, which equals $120.

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Answer:

First of all, find x from the Pythagorean theorem [tex]a^2+b^2=c^2[/tex], which c is the hypotenuse. 

[tex]7^2+24^2=c^2[/tex]

[tex]49+576=c^2[/tex]

[tex]c^2=625[/tex]

c=25 or x=25

Next, we have to figure out the value of y and z. So, you need to use inverse trigonometric functions.

arctan[tex](\frac{7}{24})=y=16.3[/tex] degrees. arctan[tex](\frac{24}{7})=z=73.7[/tex] degrees.

All in all, the values are

x=25

y=16.3

z=73.7

Hope this helps and have a nice day!

Answer:

The answers go backwards in the negative

Step-by-step explanation:

it goes -2, -1 3/4, -1 1/2, -1 1/4, -1, and so on.

Answer: The number line shows -2 through 2, divided unto fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.

Answer:

d

Step-by-step explanation:

Answer: 6a+27x

Step-by-step explanation:

combine 18a and -12a

combine 12x and 15 x

thus the answer

Hope I helped!

Answer:

18a + 12x - 12a + 15x

combining like terms we get

6a + 27x

Now we can take common from them

3(2a + 9x)

Step-by-step explanation:

Answer:

the surface area

Step-by-step explanation:

the surface area refers to the area on the surface of each side added all together

Answer:

Surface-area.

Step-by-step explanation:

Surface-area. If a solid is composed of flat surfaces, such as the cube on the right, the surface area is simply the sum of the areas of the flat surfaces (called faces).

Answer:

540 calories

Step-by-step explanation:

We are trying to find y (calories), when x (fat) equals 35 grams.

So, we can substitute 35 in for x

y= 10x +190

y=10(35)+190

Multiply 10 and 35

y=350+190

Add 350 and 190

y=540

A snack with 35 grams of fat will have 540 calories

Answer:X=1 or 0.5

Step-by-step explanation:

Use general quadratic equation

That is

X=(-b+or√(b²-4ac))/2a

Where

a=4

b=-6

c=2

Answer:

Step-by-step explanation:

hello :

4x²-6x+2=0

2(2x²-3x+1)=0    means : 2x²-3x+1 = 0

(x-1)(2x-1)=0

x-1=0  or 2x-1=0

x=1 or x= 1/2

Answer:

8.5

Step-by-step explanation:

To work out the original number you would need to work backwards ( do the opposite). First you would do 22-5, this gives us 17. Then you would divide 17 by 2 to work out the original number.

1) Subtract 5 from 22.

[tex]22-5=17[/tex]

2) Divide 17 by 2.

[tex]17/2=8.5[/tex]

3) The original number was 8.5

Answer:8.5

Step-by-step explanation:

Answer:

120 degrees

Step-by-step explanation:

This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:

2x + x + 2x + x = 360

Combine like terms and solve for x:

6x = 360

x = 360/6 = 60

<BCD = 2x = 2 * 60 = 120

Thus, the answer is 120 degrees.

Hope this helps!

BCD is equal to 120 degrees.

This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:

2x + x + 2x + x = 360

Combine like terms and solve for x:

6x = 360

x = 360/6 = 60

[tex]\angle BCD = 2x = 2 * 60 = 120[/tex]

Thus, the answer is 120 degrees.

Answer:

3

Step-by-step explanation:

If there are 6 doughnuts in each box and there are 4 boxes, then 4x6=24. The 24 needs to be split between 8 people. So 24/8=3.

Answer:

Three doughnuts

Step-by-step explanation:

4 boxes of doughnuts times 6 in each box is 24. And 24 divided by 8 is 3.

We can use the base formula: [tex]a_n=a_1+(n-1)d[/tex]

[tex]a_n[/tex] = nth term

[tex]a_1[/tex] = first term

[tex]n[/tex] = position of the term

[tex]d[/tex] = common difference

First, lets find the common difference of the sequence.

12 - 5 = 7

19 - 12 = 7

26 - 19 = 7

Second, find the variables we already know.

[tex]a_1[/tex] = 5

[tex]d[/tex] = 7

Put these values into the formula: [tex]a_n = 5+(n-1)7[/tex]

We can use this expression to solve for the fifth term.

[tex]a_5=5+(5-1)7\\a_5=5+(4)(7)\\a_5=5+28\\a_5=33[/tex]

Therefore, the answer is [tex]a_n = 5+(n-1)7[/tex]

Best of Luck!

Answer:

It is (A) y = 67.2

Hope this helped ya :)

Answer:

Vincent would have 30.5 more visits, but since you can't have half a visit technically speaking, round up to 31 if it is allowed.

Step-by-step explanation:

$231 - $48 = $183

$183 divided by $6 = 30.5

Answer:

p = 92

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angle

p+45 = (p-47)+p

Combine like terms

p+45 = 2p-47

Subtract p from each side

p-p+45 = 2p-p-47

45 = p-47

Add 47 to each side

45+47 = p-47+47

92 = p

Answer:

the answer would be 8.38

Answer:

The equation is:

(2×π×r×4r)+(2×π×r^2)= A

The maximum radius of the can they will produce = 1.7 inches

Step-by-step explanation:

Please see the attached files for explanation

Answer:

B. Printer B; 2 more pages per minute

Step-by-step explanation:

70/2 = 35 which is 2 more than 33

Answer:

The correct option is option (D)

The initial investment is $10,600 and the growth rate of the investment is 3.85%.

Step-by-step explanation:

The formula of compound interest:

[tex]A=P(1+r)^n[/tex]

A= Total amount after n years

P= Initial value of deposit

r= rate of interest compound annually

n= time is in year

Given expression is

[tex]A=10,600(1.0385)^x[/tex]

[tex]A=10,600(1+0.0385)^x[/tex]

Now we compare the given expression with the compound interest formula

So,

P= 10,600

r=0.0385 =3.85%

So, the initial investment is $10,600 and the growth rate of the investment is 3.85%.

Which question do i solve?

Evan's account can be modeled by exponential growth because it compounds interest. Ethan's account can be modeled by linear growth because it accrues a fixed interest rate annually.

The account that can be modeled by exponential growth is Evan's account because it compounds interest. Compound interest involves the exponential growth formula: A = P(1 + r/n)^(nt), where A is the final account balance, P is the principal (initial deposit), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, Evan's account compounds interest annually, so n=1.

Ethan's account, on the other hand, can be modeled by linear growth. Linear growth is represented by a straight line on a graph, and it involves a constant rate of increase over time. Ethan's account accrues interest at a fixed 8% annually, so the amount in the account increases by the same amount every year.

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Answer:

actually the answer is A

Step-by-step explanation:

a = 1.16 and b = 0.12

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