Answer:
350 girls
Step-by-step explanation:
So,
The secret to solving problems with ratios is to find the value of one unit.
5:7 = 12 units total
To find one unit, divide the total number of students by the total number of units.
600/12 = a
Simplify
50/1 = a
50 = a
The value of each unit is 50.
Now, multiply the units by the numbers in the ratio.
50(5) = b
250 = boys
50(7) = x
350 = x
There are 350 girls.
<span>m= <span><span><span><span>−5/</span>3 </span></span></span></span><span> ,swnkadkjkkjmd,m,mdas</span>
Answer: Option C) Raj forgot the negative when substituting -15+9x for y.
Solution:
(1) 9x-y=15
(2) 2x+8y=28
Isolating y in the first equation. Subtracting 9x both sides of the equation:
(1) 9x-y-9x=15-9x
Subtracting:
(1) -y=15-9x
Multiplying both sides of the equation by -1:
(1) (-1)(-y)=(-1)(15-9x)
(1) y=-15+9x
Then Raj found the value of y. It's not option D.
Substitutng y by -15+9x in the second equation:
(2) 2x+8(-15+9x)=28
Then option C) is the answer: Raj forgot the negative when substituting -15+9x for y.
Eliminating the parentheses applying the distributive property in the multiplication:
(2) 2x-120+72x=28
Adding similar terms:
(2) 74x-120=28
Solving for x. Adding 120 both sides of the equation:
(2) 74x-120+120=28+120
Adding:
(2) 74x=148
Dividing both sides of the equation by 74:
(2) 74x/74=148/74
Dividing:
(2) x=2
Solving for y: Replacing x by 2 in the first equation:
(1) y=-15+9x
(1) y=-15+9(2)
Multiplying:
(1) y=-15+18
Subtracting:
(1) y=3
Answer:
+213 is the correct answer
Answer:
x = 5
Step-by-step explanation:
Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:
m<ABD = m<CBD. Therefore:
2(m<ABD) = m<ABC
Substitute:
2(2x + 12) = 44
Solve for x.
4x + 24 = 44 (distributive property)
4x + 24 - 24 = 44 - 24 (substraction property of equality)
4x = 20
4x/4 = 20/4 (division property of equality)
x = 5
