Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3
<u>Solution:</u>
We have been given two equations which are as follows:
3x - 4y = -24 ----- eqn 1
x + 4y = 8 -------- eqn 2
We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.
We rearrange eqn 2 as follows:
x + 4y = 8
x = 8 - 4y ------eqn 3
Now we substitute eqn 3 in eqn 1 as follows:
3(8 - 4y) -4y = -24
24 - 12y - 4y = -24
-16y = -48
y = 3
Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:
x = 8 - 4(3)
x = 8 - 12 = -4
Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.
11*13=143
11+13=24
The sum of the two consecutive odd integers is 24
Answer:
RS=13
Step-by-step explanation:
RS+ST=RT
2w+1+w-1=18
3w=18
w=6
RS= 2w+1= 2(6)+1= 12+1= 13
Answer:
If each youth saves $10 daily, their weekly savings would be $1400. So they donated $1400 to the church.
Step-by-step explanation:
Let the daily pay plan for each youth be $y
Daily pay plan for 20 youth = $20y
Weekly pay plan = 7×20y = $140y
Assuming each youth saves $10 daily
Daily savings for 20 youth = 20×$10= $200
Weekly savings for 20 youth = 7×$200= $1400
If they used the early pay plan ($140y) to go swimming, they saved $1400 which they donated to the church.
Answer:
A. 0.4880
Step-by-step explanation:
First, find the z-score:
z = (x − μ) / σ
z = (13.5 − 13.56) / 2.24
z = -0.03
Using a z-score table:
P(z < -0.03) = 0.4880
