Solve equation
2/3=18/x+5

Answers

Answer 1
Answer: Subtract 5 from 2/3 to get -4 and 1/3 or -13/3
-13/3=18/x
Multiply both sides by x to get rid of it from the 18/x
-13/3x=18
Multiply both sides by 3 to get rid of the fraction
-13x=54
Divide -13 from 54
x=-4.1538


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Which expression is equivalent to this expression


t - 6(-2t + 1)

Answers

The correct expression which is equivalent to this expression t - 6(-2t + 1) is,

⇒ 13t - 6

What is an expression?

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 expression is,

⇒ t - 6 (- 2t + 1)

Now, We can simplify as;

⇒ t - 6 (- 2t + 1)

⇒ t + 12t - 6

⇒ 13t - 6

Thus, The correct expression which is equivalent to this expression

t - 6(-2t + 1) is,

⇒ 13t - 6

Learn more about the mathematical expression visit:

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t - 6( - 2t + 1) \n t  + 12t - 6 \n 13t - 6 \n 13t = 6 \n t =  (13)/(6)

150% of 66(Need the work shown)

Answers

Change 150% into a decimal by multiplying it by 100.
150(100)= 1.50
Now multiply 1.50(66)= 99
66 is the 100%
we can solve this problem by the rule of three.

Therefore:
66------------------------100%
x--------------------------150%

x=(66 * 150%) / 100%=99

Answer 150% of 66 is 99.

Other method:
150% of 66=1.5 *66=99

Answer: 150% of 66 is 99.

What is an equation of the line that is perpendicular to y-3 =-4(x+2)​

Answers

Answer:

y - 3 = (1)/(4)(x+2) or choose any line with slope 1/4

Step-by-step explanation:

The slope of this line is -4. The slope of the line perpendicular to this line will be the negative reciprocal or 1/4.

Write the equation using the slope m=1/4 and the point slope form.

y-y_1=m(x-x_1)\ny-3=(1)/(4)(x+2)

This is the equation of the line that is perpendicular and passes through the same point (-2,3) as the equation listed.

Answer:

y=(1)/(4) x+c   where c can be any number.

Step-by-step explanation:

First we need to clear for y:

y-3 =-4(x+2)\ny=-4(x+2)+3\ny=-4x-8+3\ny=-4x-5

and now we have an equation of the form:

y=mx+b

where m is the slope and b is the y-intercept.

in this case m=-4 and b=-5

to find and equation perpendicular to this line, the following must be true:m*m_(1)=-1

where m is the slope of the original line that i just mentioned, and m_(1) is the slope of the new line. Substituting m=-4

-4*m_(1)=-1

clearing for m_(1)

m_(1)=(-1)/(-4) \nm_(1)=(1)/(4)

thus, the new perpendicular line must have the form:

y=m_(1)x+c\ny=(1)/(4)x+c

where the y-intecept c can be any number, some examples are:

y=(1)/(4)x+3\ny=(1)/(4)x-8

and so on, the important thing to be a perpendicular line is that the slopes are related to the equation m*m_(1)=-1.

Which expression is equivalent to 16a + 24 B

Answers


Is there a list of choices that goes along with the question,
that you neglected to share ?

There are millions of expressions that are equivalent to  16a + 24 B .
One of them is:
                               8 (2a + 3 B) .



What is the quotient of 12,228 divided by 24

Answers

Answer:

509.5

Step-by-step explanation:

I really need help please the c/4 is a fraction 85+c/4=99

Answers


                                                 85 + c/4  =  99

Subtract 85 from each side:          c/4  =  14

Multiply each side by  4 :                  c  =  56

85+c/4=99

85+1/4c=99

1/4c+85=99

Subtract 85 from both sides.

1/4c+85−85=99−85

1/4c=14

Multiply both sides by 4.

4*(1/4c)=(4)*(14)

c=56