Five times the sum of a number and one is 115. What is the number? Use x as your variable.

Answers

Answer 1

Answer: The initial equation is:
$5(x+1)=115$

Let's transform it for x:
$5x+5=115$

... distract 5:
$5x=110$

... divide both sides by 5:
$x=22$

Answer 2

Answer: Write the follow equation accordin the text of the task:

$5(x+1)=115$

Solve the equation:

$5(x+1)=115\n \n 5x+5=115\n \n 5x=115-5\n \n 5x=110\n \n x=(110)/(5)\n \n x=22$

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At a local event, the ratio of hamburgers to hot dogs sold is 5:3. The number of hamburgers sold is 275. How many more hamburgers then hot dogs are sold? Show you're work.

Answers

*your
If the ratio is 5:3, then you divide 275 by 5, and then multiply it by 3. If you test the result, you'll find that the ratio fits.

Ash company report sales of $430,000 for year 1, $480,000 for year 2 and $530000 for year 3. Using year 1 as the base year, what is the revenue trend percent for years 2 and 3?

Answers

Answer:

12% increase

Step-by-step explanation:

Each year the sales increase by $50,000.

430,000 + 50,000 = 480,000

480,000 + 50,000 = 530,000

To find the percent change, write a proportion using 2 of the years.

$(480,000)/(430,000)=(x)/(100)$

To solve for x, cross multiply the numerator with the denominator of each fraction.

480,000(100) = 430,000(x)

48,000,000 = 430,000x

111.62 = x

Rounded this is 112% or 12% above 100%.

Write a equation of the line that passes through (-2,-3) and has a slope of 5

Answers

To get the Slope-Intercept form of a line, you first need to put it into Point-Slope form, which is $y - y_1 = m (x - x_1)$ where $x_1$ and $y_1$ are the given coordinates and m is the given slope. So, plug your given information into the equation.

y + 3 = 5 (x + 2) Use the Distributive Property
y + 3 = 5x + 10 Subtract 3 from both sides
y = 5x + 7

How to solve linear equations by substitution?

5x+2y=9
x+y=-3

Answers

5x+2y=9 x+y=3

change x+y=3 into x=3-y

plug that equation into 5x+2y=9 where x is.

5(3-y)+2y=9

then distribute.

15-5y+2y=9

15-7y=9

minus 15.

-7y=-6

divide both sides by -7.

y is equal to -6/7.

then go back to the first equation and plug in for y.

and then you will get x.

then you will have (y,x)

$\begin{cases} 5x+2y=9 \n x+y=-3\end{cases} \n \n\begin{cases} 5x+2*(-3-x)=9 \n y=-3 -x\end{cases} \n \n\begin{cases} 5x-6-2x =9 \n y=-3 -x\end{cases}\n \n\begin{cases} 3x =9+6 \n y=-3 -x\end{cases}$

$\begin{cases} 3x =15 \ \ /:3 \n y=-3 -x\end{cases} \n \n\begin{cases} x =5 \n y=-3 -5\end{cases} \n \n\begin{cases} x =5 \n y=-8\end{cases}$

A dartboard consists of two concentric circles. The probability of hitting the inner circle is64%. If the outer circle has a diameter of 20 inches, what is the radius of the inner circle?

2 inches
4 inches
8 inches
16 inch

Answers

Given:
Diameter of outer circle = 20 inches.

We need to find the Area of the outer circle to get the radius of the inner circle.

Area = πr²

Outer circle Area = 3.14 * (10in)² = 314 in²

314 in² * 64% probability = 200.96 in² Area of the inner circle.

200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r

radius of inner circle is 8 inches.

It’s geometry I need help