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3 years ago

Three times the sum of a number and eight is four more than twice the sum of the number and six. Write and solve the equation.

Mathematics

2 answers:

Marina CMI [18]3 years ago

4 0

3(x+8)=4+2(x+6)

3x+24=4+2x+12 (distribute or get rid of the parenthesis by multiplying)

3x-2x=4=12-24 (subtract 2x from both sides, then subtract 24 from both sides)

x=-8 (simplify)

Scrat [10]3 years ago

4 0

There ya go! We went over this in Algebra a while back

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

umka2103 [35]

Answer:

x^2 +23x +49

Step-by-step explanation:

Find the area of the large rectangle

(x+10) * (2x+5)

FOIL

2x^2 +5x+20x+50 = 2x^2 +25x +50

Find the area of the unshaded square

(x+1) (x+1)

FOIL

x^2 +x+x+1 = x^2 +2x+1

To find the area of the shaded region

Take the area of the large rectangle and subtract the area of the square

2x^2 +25x +50 - (x^2 +2x+1)

Distribute the minus sign

2x^2 +25x +50 - x^2 -2x-1

Combine like terms

x^2 +23x +49

5 0

3 years ago

Find the following equation

adoni [48]

Answer:

$y=\frac{-1}{2}x+7$

Step-by-step explanation:

Slope intercept form: $y=mx+b$ when $m$ is the slope of the line and $b$ is the y-intercept (the y-coordinate of the point the line crosses the y-axis)

1) Find the slope ( $m$ )

$m=\frac{y_2-y_1}{x_2-x_1}$ when the points are $(x_1,y_1)$ and $(x_2,y_2)$

We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):

$m=\frac{0-7}{14-0}\\m=\frac{-7}{14}$

Simplify the fraction

$m=\frac{-1}{2}$

So far, our equation looks like this:

$y=\frac{-1}{2}x+b$

2) Find the y-intercept ( $b$ )

The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.

Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore, $b=7$ .

Now, this is our final equation after plugging in $m$ and $b$ :

$y=\frac{-1}{2}x+7$

I hope this helps!

3 0

2 years ago

Distance formula: Does the point (1, ) lie on the circle shown? Explain.

Gnesinka [82]

Answer: Is there a picture you could show? I don't know unless I can see a picture.

4 0

3 years ago

Read 2 more answers

The equation P=31+1.75w models the relation between the amount of Tuyet’s monthly water bill payment, P, in dollars, and the num

umka2103 [35]

Answer: $P = \$\ 52$

Step-by-step explanation:

We have the equation $P = 31 + 1.75w$ where P represents the payment and w represents the amount of water used.

To calculate the monthly payment that corresponds to 12 units of water you must do $w = 12$ in the main equation and solve for the variable P.

$P = 31 + 1.75w$

$P = 31 + 1.75(12)$

$P = 31 + 21$

$P = 52$

3 0

2 years ago

What is a equivalent fraction and decimal to 3 ones and 7 hundreths

nasty-shy [4]

3 ones = 3
7 hundredths = 7/100

So equivalent fraction is 3 7/100 or 307/100.
Equivalent decimal is: 3.07

4 0

3 years ago

Read 2 more answers