Answer:
Step-by-step explanation:
1 ) Y∝ 1 / X
Y = k / X
Y = 9 , X = -5
Putting the values in the relation above
9 = k / - 5
k = -45
Y = - 45 / X
Put Y = - 6
- 6 = - 45 / X
X = - 45 / -6
= 7.5
2 )
Luke and Nora can peel 12 carrots in 5 minutes
in 1 minute Luke and Nora can peel 12 / 5 carrot
in 1 minute Luke alone can peel 12/ 11 carrot .
In 1 minute Nora alone will peel (12 / 5 - 12/ 11 ) carrot
(12 / 5 - 12 / 11 )
= 2.4 - 1.1
= 1.3 carrot
In 1 minute Nora alone will peel 1.3 carrot
1.3 carrot in 1 minute
8 carrot in 8 / 1.3 minute
= 6.15 minutes.
In 1 minute Nora alone will peel 8 carrot in 6.15 minutes working alone.
Answer:
76
Step-by-step explanation:
okay so 13=13 d = t
13×d = t
13×6 = 76
Answer:
see explanation
Step-by-step explanation:
Given

= 
= 
Rationalise the denominator by multiplying the numerator/ denominator by 
Note that
×
= a
=
× 
= 
To answer this question, we just need to subtract the saved cloth from the requested cloth:

Since the fractions don't have the same denominator, we have to find the least common denominator. Luckily, since 6 goes into 12 twice, we can convert

into

:

Now that the fractions have a common denominator, we can subtract them:

The difference between the requested cloth and the saved cloth is 5/12 of a foot, or 0.4166'.
Answer:
Step-by-step explanation:
<h3>A. How much Bill paid
AFTER the discount.</h3>
Step 1: Convert the discounted percent to decimal
20% = 0.2
Step 2: Multiply the discount to the item regularly priced
0.2(65.00) = 13
So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:
Step 3: Subtract the result (the discount Bill received) from the regular price
$65.00 - $13.00= $52.00
Therefore, Bill paid $52.00
<h3>
B. The price of the pillow in the department store.</h3>
Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price
$4.50 × 40% = 1.8

- The reciprocal of both sides gives

x = 1.8
Step 2: Add the result to the wholesale price for the pillow
4.50 + 1.8 = $6.3
Step 3: Round to the nearest cent
Add a zero behind the result = 6.30
Therefore, the price of the pillow in the department store is $6.30