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3 years ago

Seven more than one number equals nine less than double that number. Find that number.

Mathematics

2 answers:

yanalaym [24]3 years ago

3 0

Answer: That number is 16.

Step-by-step explanation:

n + 7 = 2n- 9 n represents the number now solve the question

+ 9 +9 add 9 to both sides

n + 16 = 2n subtract n from both sides

-n -n

16= 1n Divide both sides by 1

n= 16

Check: 16 + 7 = 2(16) - 9

23 =23

klasskru [66]3 years ago

3 0

Answer:
That number is 16

Explanation:
Step 1 - Write down the information you know

*ps. for this problem we will be using x to represent the unknown number. for future problems, just know that unless a variable has an assigned letter to represent it, you can usually pick whichever letter you’d like

• “Seven more” — “7 +”
• “then one number equals” — “x =”
• “nine less than” — “- 9”
• “double that number” — “2x”

Step 2 - Write an equation using the information you know

x + 7 = 2x - 9

Step 3 - Subtract x from both sides of the equation

x + 7 = 2x - 9
x - x + 7 = 2x - x - 9
7 = x - 9

Step 4 - Add 9 to both sides of he equation and then switch sides

7 = x - 9
7 + 9 = x - 9 + 9
16 = x
x = 16

Now that we have found the value of x, we know that the number is 16.

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Find the values of x and y. Pls helpI’m helpless at math

Svetradugi [14.3K]

Answer:

x = 1

$y=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The adjacent to the angle ∠60° is 1/2.

The opposite to the angle ∠60° is y.

The hypotenuse = x

Determining the value of x:

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

$cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}$

$\cos \left(60^{\circ \:}\right)=\frac{1}{2x}$

$\frac{1}{2}=\frac{1}{2x}$ ∵ cos (60°) = 1/2

$2x=2$

Dividing both sides by 2

$\frac{2x}{2}=\frac{2}{2}$

Simplify

$x=1$

Thus, the value of hypotenuse x is:

x = 1

Determining the value of y:

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

$y=\frac{\sqrt{3}}{2}$ ∵ $\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}$

Therefore, the value of y is:

$y=\frac{\sqrt{3}}{2}$

Summary:

x = 1

$y=\frac{\sqrt{3}}{2}$

5 0

2 years ago

A taxi driver makes $24.50 in an hour, but uses $6.75 worth of gas during that time. What will the driver's total earnings for t

sergiy2304 [10]

The answer is $17.75, though usually the taxi company will pay for gas that the driver uses.

6 0

3 years ago

Write a linear function f with the values f(0) = 6 and f(4) = -6.

vagabundo [1.1K]

Answer:

f(x) = -3x + 6

Step-by-step explanation:

The general linear function is;

y = mx + b

it can also be written as (x , f(x))

f(x) = mx + b

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

so we have the points ;

(0,6) and (4,-6)

So we have;

for f(0) to be 6, it means that the y-intercept b is 6

This is because the value of x at the y-intercept is 0

So we have this as;

f(x) = mx + 6

Now, let’s substitute the other point so as to get m

For the other point;

x = 4 and f(x) = -6

that means;

-6 = 4m + 6

4m = -6-6

4m = -12

m = -12/4

m = -3

So we have the equation as;

f(x) = -3x + 6

3 0

2 years ago

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just olya [345]

Root 78 would go Between 8 and 9

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2 years ago

Tony is making goody bags for her party each bag has six toys for pieces of candy and 12 stickers

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Number of bag = x

Then, number of candies & Strickers would be 6x & 12x respectively..

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3 years ago