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3 years ago

Given the equation of a line in standard form, determine the slope and y-intercept

1 answer:

7 0

The standard form of an equation of a line is y=mx+b. Our example equation will be 15=5x+3. The y-intercept would be when x=0, and the slope is m. We need to use algebra to find the y-int, but we can find the slope with just the equation. m=5.
To find the y-int, we need to set x as zero. This is because the intercept will be on an axis, therefore x is zero.
15=5(0)+3
15=0+3
15=3
y=3
The y-intercept is 3. The slope is 5.

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A rich woman deposits a whole number of dollars x in her bank. The next time she deposits y dollars (still a whole number). Each

grin007 [14]

Answer:

x = 12

y = 22

Total amount = $2596

Step-by-step explanation:

First let's find the value of each deposit until the 10th in relation to x and y:

1st: x

2nd: y

3rd: x + y

4th: x + 2y

5th: 2x + 3y

6th: 3x + 5y

7th: 5x + 8y

8th: 8x + 13y

9th: 13x + 21y

10th: 21x + 34y

Now, we can write a system with two equations and two variables:

2x + 3y = 90

21x + 34y = 1000

From the first equation: x = (90 - 3y)/2

Using this value of x in the second equation, we have:

21*(90 - 3y)/2 + 34y = 1000

945 - 31.5y + 34y = 1000

2.5y = 55

y = 22

Now we can find x:

x = (90 - 3*22)/2 = 12

Now, summing all the deposits, we have a total of 55x + 88y, which is equal to 55*12 + 88*22 = $2596

5 0

4 years ago

What is the volume of a rectangular prism with the base area of 15m2 and height of 5cm?

koban [17]

Answer:

The correct answer is option C. 75 m³

Step-by-step explanation:

<u>Points to remember</u>

Volume of rectangular prism = Base area * Height

<u>To find the volume of given prism</u>

Here Base area = 15 m² and

Height = 5 m

Volume = base area * height

= 15 * 5

= 75 m³

Volume of prism = 75 m³

Therefore the correct answer is option C. 75 m³

3 0

3 years ago

Read 2 more answers

A student gets 68 marks n therefore gets 85 percent total marks are?

mihalych1998 [28]

Answer:

There are 80 marks in total.

Step-by-step explanation:

Let the number of total marks be $x$ .

The percentage score of the student can be written as the ratio

$\displaystyle \frac{68}{x} = 85\%$ .

However,

$\displaystyle 85\% = \frac{85}{100}$ .

Equating the two:

$\displaystyle \frac{68}{x} = \frac{85}{100}$ .

Cross-multiply (that is: multiple both sides by $100x$ , the product of the two denominators) to get

$85x = 68\times 100$ .

$\displaystyle x = \frac{68\times 100}{85} = 80$ .

In other words, there are 80 marks in total.

4 0

4 years ago

Does anyone know how to do this?

Lena [83]

Answer:

Each guest would get 6 party favors.

Step-by-step explanation:

First, we find out how many party favors Amy bought. 3 bags of 12 party favors equals 36 party favors (3x12)

So, divide 36 party favors by 6 guests, and you get the final answer of 6 party favors per guest.

Hope this helps!!

6 0

3 years ago

Felix and Megan are going hiking and are trying to figure out how much water

andreev551 [17]

Answer:

Step-by-step explanation:

The amount of water they need to bring depends on how long they will be hiking.

4 0

1 year ago