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4 years ago

How can you determine a unit rate for a situation

2 answers:

7 0

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate. So, in this case, divide the numerator and denominator of 70/5 by 5 to get 14/1, or 14 students per class, which is the unit rate.

fgiga [73]4 years ago

3 0

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate. So in this case, divide the numerator and denominator of 70/5 by 5, to get 14/1, or 14 students per class, which is the unit rate.

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Please help me answer this using systems of equations with elimination.

Triss [41]

-5x+13y=-7
5x+4y=24
add the equation to eliminate x:
13y+4y=-7+24
17y=17
solve for y:
17/17y=17/17
y=1
then plug in y into any equation to solve for x:
-5x+13y=-7, y=1
-5x+(13*1)=-7
-5x+13-13=-7-13
-5x=-20
-5/-5x=-20/-5
x=4
the answers are x=4, y=1

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3 years ago

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Answer:

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3 years ago

Find the absolute value. |-4|

KATRIN_1 [288]

Answer:

The answer is 4

Step-by-step explanation:

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3 years ago

PLEASE ANSWER:Which of the following are examples of exponential growth? Select all that apply Shasta increases the amount she s

Monica [59]

Answers: Shasta increases the amount she saves each month by 5%. The amount of cell phone subscribers in a small town increases by 75% each year.The price of a stock goes up 12% each year.
Exponential growth consistently raises the base amount/number to a certain degree. The above answers increase a digit by a number of percentage steadily over a period of time.

4 0

3 years ago

Read 2 more answers

how do you rewrite : y=x^2-5x+9 in standard form using complying the square? I keep getting to : x^2-5x-25/4 but I’m not allowed

yawa3891 [41]

I presume with this you meant to say you want this equation in general form, also known as vertex form, which is y = a(x - h)² + k, instead of standard form, which is y = ax² + bx + c, which is what the original equation is already in.

So with completing the square, you first have to isolate the x-terms. To do this, subtract 9 on both sides of the equation:

$y-9=x^2-5x$

Next, we want to make the right side of the equation a perfect square. To find the constant of this soon-to-be perfect square, divide the x-coefficient by 2 and square that quotient. In this case:

$-5\div 2 = -\frac{5}{2}\\\\(-\frac{5}{2})^2=-\frac{5}{2}\times-\frac{5}{2}=\frac{25}{4}$

Now add 25/4 on both sides of the equation:

$y-9+\frac{25}{4}=x^2-5x+\frac{25}{4}$

Now to combine -9/1 and 25/4, they must have the same denominator, and to find it you must find the LCD, or lowest common denominator, of 1 and 4. To find it, list the multiples of both and the lowest one they share is their LCD. In this case, the LCD is 4. Multiply both sides of -9/1 by 4/4 and then add the numerators up:

$-\frac{9}{1}\times \frac{4}{4}=-\frac{36}{4}\\\\-\frac{36}{4}+\frac{25}{4}=-\frac{11}{4}\\\\y-\frac{11}{4}=x^2-5x+\frac{25}{4}$

Next, we need to factor the right side of the equation. Using this format of $a^2-2ab+b^2=(a-b)^2$ , we can factor it as:

$y-\frac{11}{4}=(x-\frac{5}{2})^2$

Now lastly, add both sides by 11/4, and your final answer will be $y=(x-\frac{5}{2})^2+\frac{11}{4}$ 

8 0

4 years ago