Answer:
y=-1
Step-by-step explanation:
-5y+8=-3y+10
-5y-(-3y)+8=10
-5y+3y=10-8
-2y=2
y=2/-2
y=-1
Answer:
X= 50°
Y= 70°
Z= 30°
BDE= 30°
2BDE= 60°
Step-by-step explanation:
(2x -70 )+z+(2x+20)=180...(sum of angle on a straight line)
2x -70 = BDE... alternate angles
Y + (2x-70)+(50+x-20) = 180...(sum of angles in a triangle)
X-20 = z ... alternate and opposite angles
(2x -70 )+z+(2x-+20)=180
2x-70 + x-20 +2x +20= 180
5x -70= 180
5x = 250
X= 50°
X-20 = z
50-20= z
30° = z
2x -70 = BDE
2(50) -70 = BDE
100-70 = BDE
30°= BDE
Y + (2x-70)+(50+x-20)
Y + 100-70 +50 +50 -20 = 180
Y + 200-90=180
Y= 70°
2BDE = 2*30
2BDE= 60°
We have that
<span>n (n-1) -4
for n=1
a1=1*(1-1)-4------> a1=-4
for n=2
</span>a2=2*(2-1)-4------> a2=-2
for n=3
a3=3*(3-1)-4------> a3=2
for n=4
a4=4*(4-1)-4------> a4=8
the answer is
-4,-2, 2, 8
Question:
Veronica is choosing between two health clubs. after how many months will the total cost for each health club be the same? yoga studio a: membership: $24.00 monthly fee: 21.50. yoga studio b: membership: $41.00 monthly fee: $17.25
Answer:
It takes 4 years for the total cost of each club to become equal
Step-by-step explanation:
Given:
For yoga studio A:
membership: $24.00
monthly fee: 21.50.
For yoga studio B:
membership: $41.00
monthly fee: $17.25
To Find:
Number of months after which the total cost for each health club be the same = ?
Solution:
Let x be the number of months of membership, and y be equal the total cost.
For Yoga club A
y = 21.50 x + 24
For Yoga club B
y = 17.25 x + 41.00
we know that the prices, y , would be equal, we can set the two equations equal to each other.
21.50 x + 24 =17.25 x+ 41.00
Grouping the like terms,
21.50x - 17.25 x= 41.00
- 24
4.25x=17
x=
x = 4
X equals the square root of 6-x
x= the eqaution for number 2