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2 years ago

Nine less than five times a number is equal to -30

2 answers:

6 0

To solve this question, we can start to set up an equation using what the question is telling us. Since we don't know what the number is, let's make it equal to x.

The phrase "5 times a number" means that we're multiplying our unknown, x, by 5. That is equal to 5x. 9 less than that would be 5x - 9. Since we know that it's equal to -30, we can solve.

5x - 9 = -30

Get all terms with x on one side and the constants on the other

5x - 9 +9 = -30 + 9

Simplify

5x = -21

Now, we can divide both sides by 5 to get our answer of x = - $\frac{21}{5}$

Bond [772]2 years ago

3 0

An equation can be formed with the given information.

"Nine less than" → -9

"Five times a number" → 5x

"Is equal to -30" → =-30

So our given equation is: 5x-9=-30

To solve this, first add 9 on both sides of the equation.

5x-9+9=-30+9

5x=-21

Divide both sides by 5 for x.

$\frac{5x}{5}$ = $\frac{-21}{5}$

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I need help on these question ASAP!!!! This is Urgent

GarryVolchara [31]

Part 1: The equation of the line is $y=2x+1$

Part 2: The equation of the line in slope intercept form is $y=-3x-1$

Explanation:

Part 1: It is given that the point A is $(1,3)$ and the line B is $y=2 x-2$

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is $m=2$

Substituting the point $(1,3)$ and $m=2$ in slope intercept form $y=mx+b$ , we have,

$3=2(1)+b$

$3=2+b$

$1=b$

Thus, the y-intercept is $b=1$

Let us substitute the values $m=2$ and $b=1$ in the slope intercept form $y=mx+b$ , we get,

$y=2x+1$

Thus, the equation of the line passing though point A and parallel to line B is $y=2x+1$

Part 2: The given two coordinates are $(-1,2)$ and $(1,-4)$

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is $b=-1$

The formula for slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the coordinates $(-1,2)$ and $(1,-4)$ , we have,

$m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3$

Thus, the slope is $m=-3$

Substituting the values $b=-1$ and $m=-3$ in the slope intercept formula $y=mx+b$ , we get,

$y=-3x-1$

Thus, the equation of the line in slope intercept form is $y=-3x-1$

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2 years ago

Find the length of molding needed for a 10'5" x 9'8" floor.

nikklg [1K]

Are you sure you don't mean area?

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2 years ago

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Stolb23 [73]

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efjgfiufsonrngStep-by-step explanation:

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2 years ago

What is 180=2z+15+3z-4?

Rzqust [24]

To simplify this equation, we have to combine like terms and even the equation.

First, combine the like terms.

180 = 2z + 15 + 3z - 4
180 = 5z + 15 - 4
180 = 5z + 11

Awesome! Now, we need to do is subtract 11 from each side...as so:

180 - 11 = 5z + 11 - 11
180 - 11 = 5z
169 = 5z

Great! All that is left to simplify is the 5z, and we do this by dividing 5 from 169 and from 5z. (This leaves z alone on one side of the equation.)

169 / 5 = 5z / 5
169 / 5 = z
33.8 = z

To check our work, we can replace <em>z</em> with 33.8 in the original equation:

180 = 2(33.8) + 15 + 3(33.8) - 4
180 = 67.6 + 15 + 101.4 - 4
180 = 82.6 + 101.4 - 4
180 = 184 - 4
180 = 180!

Our solution is correct! Hope I could help you out! If my math is wrong, or isn't the answer you are looking for, please let me know! Have a good one!

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2 years ago

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What is the difference between heat and temperature?

lord [1]

Answer:

heat is hot and tempture is all

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1 year ago