Step-by-step answer:
If there are 40% students that are girls , and the rest are 250 boys. Then that must mean there are 60% boys. Because that is the compliment.
i)
Because we know that 60% of the people in the group are boys, and that the amount of boys amounts to 250, we can model an equation like this.
.


There are 417 students
ii)
Because we know that the total amount is 417, we can find the amount of girls there are by multiplying the total by the percentage.

There are 167 students that are girls.
Answer:
- <u>The farmer bought 170 animals of each species</u>.
Step-by-step explanation:
The translation of the question into English is:
<em>"a farmer bought the same number of calves and cows for 476,000. He/she paid 800 for a calf and 2000 for a cow, how many animals of each species did he/she buy?"</em>
<em />
<h2>Solution to the problem</h2>
<u>1. Choose the variable's name and translate the verbal statements into algebraic expressions:</u>
- a) number of calves or cows: x
- b) He/she paid 800 for a calf: 800x
- c) He/she paid 2,000 for a cow: 2000x
- d) For 476,00: 800x + 2000x = 476,000 . . . . this is your equation
<u />
<u>2. Solve the equation:</u>
<u>a) Write the equation:</u>

<u>b) Add like terms:</u>

<u>c) Use division property of equalities: divide both sides by 800:</u>

<u>d) Translate the solution into a verbal statement:</u>
Since x represents both the number of calves and the number of cows, the answer is:
- <u>The farmer bought 170 animals of each species</u>.
Answer:
4/7, 1/4,1/2, 2/3
Step-by-step explanation:
Our system of equations is:
y = -3x + 9
y = -x - 5
To solve this system of equations, we are going to use substitution. This means that we are going to substitute the second equation into the first equation since both are already solved for y in terms of x.
y = -3x + 9
-x - 5 = -3x + 9
Now, we must simplify by moving all of the constant terms to one side of the equation and all of the variable terms to the other side.
-x - 5 = -3x + 9
2x - 5 = 9
2x = 14
Finally, to undo the multiplication between the coefficient 2 and the variable x, we must divide both sides by 2 to get the variable x alone.
x = 7
Next, we must substitute in this value we have solved for x into one of the original equations to solve for the other variable, y.
y = -3x + 9
y = -3(7) + 9
To simplify, we must multiply through the parentheses and combine like terms by addition.
y = -21 + 9
y = -12
Therefore, your final answer is x = 7 and y = -12, or as an ordered pair (7, -12).
Hope this helps!
Answer:
106
Step-by-step explanation:
The pattern is +8. 66 is the last number given which is the 5th number. So we need to have five numbers. we can do 8*5=40 and add 40 to 66. Your answer is 106.