Answer: 3 1/4 + 7
Step-by-step explanation:
1/2 = 2/4 + 3/4 = 5/4/ 1 1/4 + 2 = 3 1/4 + 7
Answer:
√29
Step-by-step explanation:
We can use the pythagorean theorem to find the length of this line. You can draw a vertical line downwards from the higher point and a horizontal line towards the left from the lower point. This will create a right triangle. Wd can count the lengths of the legs, getting 2 and 5. We can substitute these values in the pythagorean theorem:
a^2 + b^2 = c^2
2^2 + 5^2 = c^2
4 + 25 = c^2
c^2 = 29
c = √29
Since c is the hypotenuse and is the same length of the line, the line is √29 units long
2x^2 - 5x + 12 = 0
Factoring out the leading coefficient:
2(x^2 - 5/2 x) + 12 = 0
Completing the square:
2[(x - 5/4)^2 - 25/16] + 12 = 0
2(x - 5/4)^2 - 25/8 + 12 = 0
2(x - 5/4)^2 + 71/8 = 0
q = 71/8
Answer:
<h2>$160</h2>
Step-by-step explanation:
Step one:
For Sadie
initial savings balance= $70
weekly savings = $18
Let S represent the amount of money Sadie has saved
and t the number of weeks after the beginning of the year
The total amount in savings after t weeks is
S=18t+70-------1
For Jack
initial savings balance= $90
weekly savings = $14
Let J represent the amount of money Jack has saved
and t the number of weeks after the beginning of the year
The total amount in savings after t weeks is
J=14t+90---------2
Step two
equation 1 and 2 to find t
18t+70=14t+90
18t-14t=90-70
4t=20
divide both sides by 4
t=20/4
t=5 weeks
so after 5 weeks Sadie and Jack will have the same amount of money
For Sadle t=5
S=18(5)+70-------1
S=90+70
S=$160
For Jack t=5
J=14(5)+90---------2
J=70+90
J=160
The two equations above shows that after 5 weeks their savings will be $160
Answer:
2.0625
Step-by-step explanation:
8.25%=0.0825
0.0825*25=2.0625
