MATHEMATICS MIDDLE SCHOOL

Slope 3/4, through (-8,4)

Answers

Answer 1

Answer:

Answer:

y = $(3)/(4)$ x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $(3)/(4)$ , thus

y = $(3)/(4)$ x + c ← is the partial equation

To find c substitute (- 8, 4) into the partial equation

4 = - 6 + c ⇒ c = 4 + 6 = 10

y = $(3)/(4)$ x + 10 ← equation of line

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Why do whole numbers with an exponent get bigger while fractions with an exponent get smaller.

Answers

Raising a whole number to a power means:

   Take (a number of things) a number of times, and then possibly
   take that big number of things a number of times again.

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   Take a piece of (a piece of one thing), and then possibly
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How many grams are in 40 kg

Answers

"Kilo" also means thousand, but it's a thousand times BIGGER than grams. In other words, there are a thousand grams in 1 kilogram! So how many grams are there in 40 kg? Multiply a thousand by 40: 40*1,000=40,000!

Answer: 40,000 grams

I/5+9=17
two step equations

Answers

Answer:

i = 40

Step-by-step explanation:

i/5 + 9 = 17

i/5 = 8

i = 40

So, the answer is i = 40

I = 40
This is the answer

A shelter has enough food to feed an average of 80 hungry people a day for 14 days. If an average of 32 people are at the shelter each day, how long will the food last?

Answers

Answer:

35 days.

Explanation

The capacity of the shelter is a constant. It is 80 people × 14 days.

That is an inverse relation: the product of the number of people and the number of days will be always the same.

As the number of people decreases the number of days that the food lasts increases, in a proportion such that the product of the days and the number of people is the same.

Thus, for 32 people the number of days the food lasts is x, such that:

32 people × x = 80 people × 14 days

Solving for x:

x = 80 people × 14 days / 32 people

x = 35 days ← answer

The food will last 35 days.

Answer: 35 days

Step-by-step explanation:

Given: A shelter has enough food to feed an average of 80 hungry people a day for 14 days.

Let y be the number of days if 32 people are at the shelter .

The number of hungry people and number of days are in inverse proportion

Therefore, $80*14=32*\ x\n\Rightarrow\ x=(80*14)/(32)\n\Rightarrow\ x=35$

Therefore, if an average of 32 people are at the shelter each day, the food will last for 35 days.

write an integer expression that equals 10. it must contain at least 2 positive integers and 2 negative integers. it also must contain at least one addition symbol and one subtraction symbol