Answer:
G
Step-by-step explanation:
The statements that apply to the ratio of rice and water are:
- The ratio of rice to water is 1 to 2.5
- The ratio of water to rice is 2.5 to 1
<h3>Ratios</h3>
Ratios are used to compare quantities of different measurements
The entries on the table are given as:
<u>Rice Water</u>
2 5
3 7.5
5 12.5
8 20
<h3>The ratios of both quantities</h3>
The ratio (r) of rice and water is then calculated as:
Pick any corresponding table entry.
So, we have:
Divide
This means that, the ratio of rice to water is 1 to 2.5, and the ratio of water to rice is 2.5 to 1
Read more about ratios at:
brainly.com/question/1781657
Answer: 37 1/3
Step-by-step explanation:
14/1÷3/8=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
14/1 × 8/3=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
14×8/1×3 = 112/3
This fraction cannot be reduced.
The fraction
112/3
is the same as
112÷3
Convert to a mixed number using
long division so
112/3=37 1/3
Therefore:
14/1 ÷ 3/8=37 1/3
1/2 / 3/8 =
1/2 * 8/3 =
1*8 / 2/3 =
8/6 = 4/3 your answer
Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
