Step-by-step explanation:
First, set up your problem:
(1) a = 7b from “Aaron has 7 times as many sheep as Beth”
(2) a + b = 608 from “both together had 608”
We can choose either equation to start with and solve for one of the two variables. Starting with equation (2), add =b to both sides:
a + b = b = 608 - b
So a = 608 - b
Substitute back into equation (1) replacing a with 608 - b:
608–b = 7b
Now we solve for b. First add b to both sides:
608 - b + b = 7b + b
Therefore:
608 = 8b
Divide both sides by 8 to get:
b = 608/8 = 76
Now substitute back into equation (1):
a = 7 * 76 = 532
So the final answer is
a = 532, Aaron had 532 sheep
b = 76, Beth had 76 sheep
<span>If pigs can fly, then you'll get a raise.
...............................</span>
Answer:
33000
Step-by-step explanation:
15,000r=12%t=2years
I
1
=
100
P
2
×R
1
×T
=
100
15000×12×2
=3600
P=P
2
r
2
=15%t=2years
I
2
=
100
P
1
×R
2
×t
=
100
P
2
×15×2
Totalenterest I = 9000
I = I
1
+I
2
9000=3600+
100
P
2
×15×2
9000−3600=
100
P
2
×30
30
5400
×100=P
2
P
2
=18000Ans.
15000+18000=33000
15,000r=12%t=2years
I
1
=
100
P
2
×R
1
×T
=
100
15000×12×2
=3600
P=P
2
r
2
=15%t=2years
I
2
=
100
P
1
×R
2
×t
=
100
P
2
×15×2
Totalenterest I = 9000
I = I
1
+I
2
9000=3600+
100
P
2
×15×2
9000−3600=
100
P
2
×30
30
5400
×100=P
2
P
2
=18000Ans.
15000+18000=33000
Answer:
3. x=14° y=7
4. x=29° y=3
Step-by-step explanation:
3. this is a 45 - 45- 90 triangle
so the side is a-a-a√2 ( two sides are the same)
4y-3=10+2y+1 -- collect like terms
4y-2y=10+1+3
2y=14
y=7
find the angle of the inside triangle
180-59-90 =
31°
we know the big triangle was a 45-45-90 angle
so x+31=45
x=45-31
x=14°
4. this is a square, all sides are same
5y+3y=24
8y=24
y=3
angle is 90°
x+x+9y+5=90
we know y=3 --substitute
x+x+9(3)+5=90
2x+27+5=90
2x=90-27-5
2x=58
x=58/2
x=29
<span>2(3 - x) = -16
3 - x = -16/2
3 - x = -8
-x = -8 - 3
-x = - 11
x = 11</span>