Answer:
9) Exact Form: 85
/24 Decimal Form: 3.541
6 Mixed Number Form: 3 13
/24
10) Exact Form: 17
/18 Decimal Form: 0.9 4
11) Exact Form:
3
/5 Decimal Form: 0.6
Step-by-step explanation:
9) Convert the mixed numbers to improper fractions, then find the LCD and combine.
10) Simplify the expression.
11) To subtract fractions, find the LCD and then combine.
Answer:
2kg
Step-by-step explanation:
Let the sum of the other 2 bricks be R. Given that the heaviest brick weighs 2/3 times as much as the other 2 bricks in total, then the weight of the heaviest brick H in terms of the weight of the other 2 will be
H = 2/3 * R
= 2R/3
Given that the 3 bricks weigh 5kg in total then,
2R/3 + R = 5
Multiply through the equation by 3
2R + 3R = 15
5R = 15
Divide both sides by 5
R = 15/5
= 3
The weight of the heaviest brick is 2R/3. Since R = 3, the heaviest block weighs
= 2 * 3/3
= 2kg
Answer:
Step-by-step explanation:
<h3>Given</h3>
<u>Quadratic function </u>
with the roots:
<h3>To find </h3>
<h3>Solution</h3>
<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>
- (-5 + 9i) + (-5 - 9i) = -b/-1
- -10 = b
- b = -10
And
- (-5 + 9i)(-5 - 9i) = c/-1
- (-5)² - (9i)² = -c
- 25 - 81(-1) = -c
- - c = 25 + 81
- - c = 106
- c = -106
g(x) = -x² -10x - 106
A. 2x+y=25; x+y=20
x represents cheese wafers and y represents chocolate wafers.
B. I will choose elimination since there is y and y. I can multiply one equation by -1 to get y and -y, which cancels out.
2x+y=25
-x-y=-20
Add equations
x=5
Plug x in
5+y=20
y=15
Final answer: 5 cheese wafers, 15 chocolate wafers
If you are trying to find the cost of the basket ball, it is $8.15.
Step 1: Find 20% of 10.95- which is 2.19- and subtract 2.19 from 10.95-which is 8.76.
Step 2: Find 7% of 8.76-which is 0.6132- and subtract 0.6132 from 8.76-which is 8.1468
Step 3: Round to the nearest hundredth, which gives you 8.15.
Thus, $8.15 is your answer.
