Answer:
Tamara incorrectly factored the whole expression.
Step-by-step explanation:
Note that
- 21x=3·7·x;
- 56xy=2·2·2·7·x·y.
Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.
Thus,
21x+56xy=7x(3+8y).
Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.
Answer:
Step-by-step explanation:
You need to use the quadratic equation
x = 
Givens
x = 
x =( 5 +/- sqrt(25 - 12) ) / 2
x = (5 +/- sqrt(13) )/2
x = (5 + sqrt(13) / 2
x = 4.303 rounded
x = (5 - sqrt(13) ) /2
x = .6972
80 student tickets and 30 adult tickets must be sold to reach a $700 raise.
Since the drama club is selling tickets to their play to raise money for the show's expenses, and each student ticket sells for $ 5 and each adult ticket sells for $ 10, and the auditorium can hold a maximum of 110 people and the drama club must make a minimum of $ 700 from ticket sales to cover the show's costs, to determine one possible solution the following calculation must be performed:
- 110 x 5 + 0 x 10 = 550
- (700 - 550) / (10 - 5) = 150/5 = 30
- 80 x 5 + 30 x 10 = 400 + 300 = 700
Therefore, 80 student tickets and 30 adult tickets must be sold to reach a $700 raise.
Learn more about maths in brainly.com/question/25901815
Answer:
Number of cats is (5/9)(63) = 35, and number of dogs is (4/9)(63) = 28
Step-by-step explanation:
The given ratio is 5 to 4. Sum these up, obtaining 9. Then (5/9) of the whole represents the number of cats, and (4/9) of the whole represents the number of dogs.
Number of cats is (5/9)(63) = 35, and
number of dogs is (4/9)(63) = 28
As a check: 35 + 28 = 63.
