Answer:
10. 1/9
11. 1 1/6
12. 1/8
Step-by-step explanation:
10.
He spent 2/3 of 1/6 of the day.
In math, "of" means multiplication, so 2/3 of 1/6 means 2/3 * 1/6.
2/3 * 1/6 = 2/18 = 1/9
He spent 1/9 of the day adding mulch.
11.
He spent 2/3 of 1 3/4 hours.
In math, "of" means multiplication, so 2/3 of 1 3/4 means 2/3 * 1 3/4.
2/3 * 1 3/4 = 2/3 * 7/4 = 14/12 = 7/6 = 1 1/6
He spent 1 1/6 hours working on the project.
12.
She planted 1/6 of 3/4 of the area.
In math, "of" means multiplication, so 1/6 of 3/4 means 1/6 * 3/4.
1/6 * 3/4 = 3/24 = 1/8
She planted carrots in 1/8 of the garden.
Answer:
25 students had soup for lunch
Step-by-step explanation:
Sandwich : soup
Of all students who purchased lunch this Thursday, 30 chose a sandwich
Let x = number of students who choose soup
Sandwich : soup = 30 : x
If the ratio of students who chose a sandwich to all of those who chose soup was 6:5
Sandwich : soup = 6 : 5
how many of the students had soup for lunch?
Equate both ratios
Sandwich : soup
30 : x = 6 : 5
30 / x = 6 / 5
Cross product
30 * 5 = x * 6
150 = 6x
Divide both sides by 6
x = 150 / 6
= 25
x = number of students who choose soup = 25 students
Answer: 2000
Step-by-step explanation:
55 multiplied by 20
is equal to 1,100
100 multiplied by 20
is equal to 2000
2000 ppl were surveyed
We are given zeros of the polynomial : 7, -11, and 2 + 8i.
Note: The radical zero always comes with the pair of plus and minus sign.
Therefore, another zero would be 2-8i.
Now, in order to find the polynomial with the zeros 7, -11, 2 + 8i and 2-8i, we need to find the factors of the polynomial.
The factors of the polynomial would be (x-7)(x+11)(x-2-8i)(x-2+8i).
Let us multiply those factors to get the standard form of the polynomial.
=
.
<h3>Therefore, correct option is 4th option
.</h3>
