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irina1246 [14]
3 years ago
15

I need help with all operations with integers

Mathematics
1 answer:
Greeley [361]3 years ago
5 0
What do you need help with exactly ?
You might be interested in
The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students
Artemon [7]

Answer:

  • Let p be the population at t be the number of years since 2011.  Then, p=2000-50t
  • The projected population of the high school in 2015=1800
  • In <u>2019</u> the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also,  Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, p=2000-50t

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8

Now, 2011+8=2019

Hence, in <u>2019</u> the population be 1600 students




6 0
3 years ago
A small tanker truck can hold 210 gallons of heating oil. How many pints of heating oil can the truck hold
shtirl [24]

Answer: 1,680 pints

Step-by-step explanation: 210 gallons= 1,680 pints

8 0
4 years ago
The function that passes through thepoints (24, 28) and (8,8)Is?
icang [17]

The slope of the line that passes through the points (x1, y1) and (x2,y2) is computed as follows:

m=\frac{y_2-y_1}{x_2-x_1}

In this case, the points are (24, 28) and (8,8), then its slope is:

m=\frac{8-28}{8-24}=\frac{-20}{-16}=\frac{5}{4}

The slope-intercept form of a line is:

y = mx + b

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

Substituting into the general equation with m = 5/4 and the point (24, 28) we get:

\begin{gathered} 28=\frac{5}{4}\cdot24+b \\ 28=30+b \\ 28-30=b \\ -2=b \end{gathered}

Finally, the equation is

y = 5/4x - 2

3 0
1 year ago
At a sale on winter clothing,Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two h
lara31 [8.8K]
First do 43 - 30= $13 for two hats
so for one hat you do 13 divided by 2 which equals= <u>$6.50</u> for one hat

then you do 30 - 13= $17 for two pairs of gloves
so for one pair of gloves you do 17 divided by 2=<u> $8.50</u> for one pair of gloves
8 0
3 years ago
The difference of two numbers is 5. The sum of three times the larger number and twice the smaller number is 30. What is the sma
seraphim [82]

Answer: 3

Step-by-step explanation:

Let the smaller number be y.

Since the difference of two numbers is 5,then the larger number will be: y+5

The sum of three times the larger number and twice the smaller number is 30. This can be written as:

3(y+5) + 2y = 30

3y + 15 + 2y = 30

5y + 15 = 30

5y = 30 - 15

5y = 15

y = 15/5

y = 3

The smaller number is 3

5 0
4 years ago
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