Answer:
5/6
Step-by-step explanation:
When adding fractions, you must ensure the denominator is the same in both fractions.
In this case, the 3 can be multiplied by 2 to equal 6, the other denominator.
When multiplying fractions to create a common denominator, you must multiply the both the numerator and the denominator by the same value, to ensure that the fraction is still equivalent.
2/3 × 2/2 = (2×2)/(3×2) = 4/6
Replace 2/3 with its equivalent 4/6.
Now you will add the numerators together.
1/6 + 4/6 = (1+4)/6 = 5/6
Your final answer is 5/6
Answer:
0.00768
Step-by-step explanation:
We know that
<span>1) Kayla originally has 64b dollars
</span>2) <span>She gave 1/8 of it to Luke-----> (1/8)*64b=8b
in this moment Kayla has------> 64b-8b=56b
3) </span>Kayla spent $45
in this moment Kayla has------> 56b-$45
therefore
the answer is
(56b-$45)
9514 1404 393
Answer:
14.1 years
Step-by-step explanation:
Use the compound interest formula and solve for t. Logarithms are involved.
A = P(1 +r/n)^(nt)
amount when P is invested for t years at annual rate r compounded n times per year.
Using the given values, we have ...
13060 = 8800(1 +0.028/365)^(365t)
13060/8800 = (1 +0.028/365)^(365t) . . . . divide by P=8800
Now we take logarithms to make this a linear equation.
log(13060/8800) = (365t)log(1 +0.028/365)
Dividing by the coefficient of t gives us ...
t = log(13060/8800)/(365·log(1 +0.028/365)) ≈ 0.171461/0.0121598
t ≈ 14.1
It would take about 14.1 years for the value to reach $13,060.
Answer:
Number of hot dogs sold = 56
Number of hamburgers sold = 52
Step-by-step explanation:
Let
Number of hot dogs sold = x
Number of hamburgers sold = y
We can make equation from given equations:
(Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )
(Together you sold 108 hot dogs and hamburgers.)
Now we cam solve these system of equations to find value of x and y
Subtract both equations to get value of x:
We get value of x = 56
Now putting value of x in equation 2 to find value of y
So, we get y = 52
Therefore,
Number of hot dogs sold = x = 56
Number of hamburgers sold = y = 52
