Answer:
Esmerelda did not use the reciprocal of the divisor.
Step-by-step explanation:
A complex fraction is another way to show division of two fractions. In this case, we are dividing -5 1/4 by 3/2.
We first convert -5 1/4 to an improper fraction. To do this, multiply the whole number by the denominator; this gives us -5(4) = -20. Then add the -1 (negative since the fraction is negative); this gives us -21/4.
This means we are dividing -21/4 by 3/2.
To divide fractions, we multiply by the reciprocal; this means we flip the second fraction and multiply. We would then multiply -21/4 by 2/3. This is the step Esmerelda did not do.
Answer:
x=53
Step-by-step explanation:
One way to solve this problem is by using the Pythagorean Theorem.
This states that the square of one "leg" of the triangle plus the square of the other "leg" of the triangle would equal the square of the hypotenuse, or the longest side of a triangle. Keep in mind that this only works for right triangles, where one angle is exactly 90 degrees.
This formula can be written as: a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse.
So, for this problem, let a=28, and b=45.
This gives us: 28^2 + 45^2 = x^2
And we can simplify this to: 2809 = x^2
Taking the square root of both sides gives us the answer, that x=53 units.
Hope this helps!
Answer:
n=4
Step-by-step explanation:
distribute the -2 to get 5n + 34 = -2 + 14n. subtract 5n from both sides to get 9n -2 = 34. add 2 to both sides to get 9n=36. divide by 9 to get n=4
Answer:
34
Step-by-step explanation:
The given requirement is ...
t + a < 52
and we are told that t = 17. Substituting into the inequality, we have ...
17 + a < 52
a < 35
Amy can be 34 years old at most.