Answer:
{-14, 4}
Step-by-step explanation:
the absolute value function only makes sure that the result always has a positive sign.
so, (x + 5) must be either +9 or -9 to make the original equation true. the absolute value would turn both into +9.
so,
x + 5 = 9
x = 4
and
x + 5 = -9
x = -14
that gives us the correct set of solutions as indicated above.
Answer:
After 6 months, the interest generated by the investment would be $21.10.
Step-by-step explanation:
To determine the interest that Preston McCord could earn by investing $ 1,400 in an account that pays 3.2% annual interest compounded monthly, leaving said money invested for a period of 6 months, it is necessary to perform the following calculation:
X = 1,400 x (1 + 0.032 / 6) ^ 0.5x6
X = 1,421.10
1421.10 - 1400 = 21.10
Thus, after 6 months, the interest generated by the account will be $ 21.10.
Answer: 375
Step-by-step explanation:
You need to multiply the cost of each notebook by how many notebooks the store wants to buy.
We have two variables p and q that need to be found.
p = # of pints
q= # of quarts
16p+32q=1280
- you do not jump into looking for the answer to each variable as it is asking for an equation not to find what p and q is
Answer: 4 and 5/18
Step-by-step explanation: In this problem, we have 7/6 divided by 3/11. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.
So here, 7/6 ÷ 3/11 can be rewritten as 7/6 × 11/3.
Now we are simply multiplying fractions so we multiply across the numerators and multiply across the denominators.
So we have 7 × 11 which is 77 and 6 × 3 which is 18.
Now we have the fraction 77/18.
We can write 77/18 as a mixed number by dividing the denominator of the fraction into the numerator.
18 divides into 77 4 times with a remainder of 5.
So we can write 77/18 as 4 and 5/18.
Notice that the 18 stays which is the denominator of our original answer.
This means that 7/6 ÷ 3/11 = 4 and 5/18.
