Answer:
15.8 (15/8)
Step-by-step explanation:
First, we turn the mixed numbers into fractions by multiplying the whole number by the denominator and this answer into the numerator:
2 1/2=5/2
1 1/3=4/3
now to divide, we keep the first fraction, change the divide to a multiply, and then flip the second fraction:
5/2·3/4
Now, simply multiply:
5/2·3/4=15/8 (15.8 if you need a decimal)
And you have your answer! hope this helped!
Answer:
w = -4
Step-by-step explanation:
<u>Step 1: Distribute</u>
-2w - 14 = 2(w + 1)
-2w - 14 = 2w + 2
<u>Step 2: Add 2w to both sides</u>
-2w - 14 + 2w = 2w + 2 + 2w
-14 = 4w + 2
<u>Step 3: Subtract 2 from both sides</u>
-14 - 2 = 4w + 2 - 2
-16 = 4w
<u>Step 4: Divide both sides by 4</u>
-16 / 4 = 4w / 4
<em>-4 = w</em>
<em />
Answer: w = -4
Answer:
When Amina is 18. Saad would be;
k. 14
Step-by-step explanation:
Let "x" represent Anita's current age and let "y" represent Saad's current age, we have;
Anita's age = 2 × Saad's age
Therefore;
x = 2 × y...(1)
In 4 years, we will get;
x + 4 = 1.5 × (y + 4)...(2)
Substituting the value of x in equation (1) into equation (2), we get;
2·y + 4 = 1.5·y + 1.5 × 4 = 1.5·y + 6
2·y + 4 = 1.5·y + 6
2·y - 1.5·y = 6 - 4 = 2
0.5·y = 2
y = 2/0.5 = 4
Saad's current age = y = 4 years
From equation (1), we have;
x = 2 × y = 2 × 4 = 8
Amina's current age = x = 8 years
When Amina is 18, we have;
18 = 10 + 8 = 10 + x
Therefore, Amina would be 18 in 10 years time from now, from which we have;
Saad would be 10 years + y = 10 years + 4 years = 14 years in 10 years from now
Therefore, when Amina would be 18 years in 10 years from now Saad would be 14 years.
Let x represent the number of ounces of vinegar
Let y represent the number of ounces of lemon juice
Oil required = 8 oz
Container can hold = 16 oz
So the inequality equation will be :
The notation just means
(f/g)(-4) = f(-4) / g(-4)
If f(x) = x² + 2 and g(x) = 1 - 3x, then
f(-4) = (-4)² + 2 = 16 + 2 = 18
g(-4) = 1 - 3 (-4) = 1 + 12 = 13
and so
(f/g)(-4) = 18/13
