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3 years ago

Solve for x. -6x = -18

Mathematics

2 answers:

Marina CMI [18]3 years ago

7 0

Answer:

x= 3

Step-by-step explanation:

-6x=-18

-18/-6= 3

x= 3

marta [7]3 years ago

3 0

Answer:

Step-by-step explanation:

The goal is to get the x to be on one side of the equation on its own.

-6x = -18

To get rid of the -6, we would have to do the opposite of what it's doing in the equation - in this case, we would divide, as it's the opposite of multiplying.

What we do to one side of the equation, we have to do to the other.

-6x/-6 = x

-18/-6 = 3

x = 3

Hope that makes sense!

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Explain why it is important to line up decimal points when you are adding and subtracting decimals. Use the problem 6.32 – 0.5 i

Mazyrski [523]

Answer:

Kindly check explanation

Step-by-step explanation:

When performing addition and subtraction of decimals, it is important to arrange the numbers being added or subtracted such that the decimal points are in line. This is particularly important so that the place value of the numbers are in accord.

To simplify, when then decimals are in line, then the tenth value of the first number will be added to the tenth value of the second. Without this arrangement, one might be adding the hundredth placed value to the tenth or unit value which is mathematically incorrect and will yield a wrong result.

For instance :

6.32 - 0.5

Here, when the decimal point of each number is in line, the tenth placed value of the first number (3) matches the tenth placed number of the second number (5) and all others also fall in place automatically.

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4 0

3 years ago

The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle

ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use <em>w</em> to represent the width, the length will be 6 more than 2 times w.

Hence, the length is $2w+6$ .

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

$A=w(2w+6)$

We can also substitute 40 in for A as it's given in the question.

$40 = w(2w+6)$

Distributing <em>w</em> by multiplying it by both terms in the parentheses, we get

$40 = 2w^2+6w$

We can make the equation simpler by dividing both sides by 2.

$20 = w^2+3w$

Subtracting both sides by 20 will make the left-hand side 0.

$0=w^2+3w-20$

Now that we have put this <em>quadratic equation</em> into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

$w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}$

$w= \frac{-3\pm\sqrt{9+80}}{2}$

$w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}$

Since the second solution results in a negative number, it cannot be the length of w.

$w=\frac{-3+\sqrt{89}}{2}\approx3.217$

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

$l=2(3.217)+6$

$l=12.434$

The length of this rectangle is 12.434 cm.

6 0

2 years ago

the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They ne

Sladkaya [172]

Answer:

a. 2116 miles

b. 105.8 gallons

c. $305.76

d. cost per gallon = total cost / number of gallons = total cost/105.8

Step-by-step explanation:

The round-trip distance is the sum of the distances there and back. It is double the one-way distance.

round-trip distance = 2 × one-way distance

round-trip distance = 2 × 1058 miles = 2116 miles

The gas used will be the distance divided by miles per gallon.

gas used = round-trip distance / miles-per-gallon

gas used = (2116 mi)/(20 mi/gal) = 105.8 gal

The cost of gas will be the product of cost per gallon and number of gallons.

cost of gas = cost-per-gallon × gallons

cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76

The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...

(cost of gas)/gallons = cost-per-gallon

For the same trip, the number of gallons is 105.8, so the equation becomes ...

cost-per-gallon = (cost of gas)/105.8

3 0

2 years ago

Use the figure to find the measure of angle 1. *

QveST [7]

Answer: angle 1 = 110 degrees

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3 years ago

3(negative 2-3x)=negative 9x-4

Andreyy89

Answer:

x = -2

Step-by-step explanation:

3(-2 - 3x) = -9x - 4 (Given)

3(-2) + 3(-3x) = -9x - 4 (Distributive Property of Equality)

-6 + 9x = -9x - 4 (Simplify)

-6 + 4 -9x= -9x - 4 + 4 (Addition Property of Equality)

-2 + 9x = -9x (Simplify)

-2 + $\frac{-9x}{-9} = \frac{-9}{-9}$ (Division Property of Equality)

-2 = x (Simplify)

x = -2 (Symmetric Property of Equality)

3 0

3 years ago