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3 years ago

Simplify the expression. 55−4⋅5+12

2 answers:

5 0

First we add four point five plus twelve and we get sixteen point five, and so now we subtract fifty-five minus sixteen point five and we get our answer.

Answer: 62.5

Lunna [17]3 years ago

4 0

Your answer is 62.5. Hope i helped

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What Is 21+21,000 Please tell me what the answer

drek231 [11]

Answer:

21021

Step-by-step explanation:

8 0

3 years ago

Mr.Dow lives 16 miles from his workplace he drives to and from work five days a week if his car gets 19.2 miles per gallon how m

ANEK [815]

Answer:he would require 8.33 gallons of gas

Step-by-step explanation:

Mr Dow lives 16 miles from his workplace he drives to and from work five days a week. It means that the distance that he drives everyday to and from work would be

16 × 2 = 32 miles.

Then, the total distance that he drives in a week to and from work would be

32 × 5 = 160 miles

if his car gets 19.2 miles per gallon, it means that the amount of gas that he would use in one week, commuting to and from work would be

160/19.2 = 8.33 gallons

4 0

3 years ago

Factor the quadratic expression in the equation y = 2x2 + 8x - 154 and find the zeros of the equation. Then

Tema [17]

Answer:

zeros: -11 , 7

Line of symmetry: x = -2

Step-by-step explanation:

y = 2x² + 8x - 154 = 2*(x² + 4x - 77) = 2*(x+11)(x-7)

y = 0

x = - 11 or x = 7

line of symmetry: x = 1/2 (-11 + 7) = -2

2x² + 8x - 154 = 2*(x² + 4x +4) - 162 = 2 * (x+2)² - 162

vertex (h , k): h = -2 , k = -162

Line of symmetry: x = -2

6 0

3 years ago

2x-5/5 +x-2=3(x+5). Find the value of x?

deff fn [24]

Answer:

Step-by-step explanation:

$\frac{2x - 5}{5} + x - 2 = 3(x + 5)$

$\frac{2x - 5}{5} + x - 2 = 3x + 15$

$\frac{2x - 5}{5} = 2x + 17$

$2x - 5 = 10x + 85$

$-8x = 90$

$x = \frac{-45}{4}$

5 0

3 years ago

I need help 6x-2y=10 x-2y=-5 solve by elimination

dem82 [27]

<h3><u>Explanation</u></h3>

Given the system of equations.

$\begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}$

Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.

To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.

$\begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}$

There as we can get rid of the y-term by adding both equations.

$(6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3$

Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.

$x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4$

Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.

Answer Check by substituting both x and y values in both equations.

<u>First</u><u> </u><u>Equation</u>

$6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}$

<u>Second</u><u> </u><u>Equation</u>

$x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}$

Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)

<h3><u>Answer</u></h3>

$\begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)$

8 0

3 years ago