Answer:
16.
Step-by-step explanation:
The highest common factor between the two is 16.
A = 5
b = 1
(2*5) + (3*1) =
10 + 3 =
13
Answer:
In this passage, Alliteration is present in the words "nodded, nearly napping".
Step-by-step explanation:
Alliteration is defined as the repeated sound of the first consonant in a series of multiple words, like here in - "nodded, nearly napping" -(all starting with 'n')
Or we can also say that it is the repetition of the same kind of sound at the beginning of words or in stressed syllables.
So, the correct option is C. the words nodded, nearly napping are right next to each other and are stressed.
Answer:
D. 150 feet
Step-by-step explanation:
The formula for the area of a rectangle is: area = lw, where l = length and w = width. In this case, the length is defined as '90 feet more than twice the width' or l = 2w + 90. If we put this expression in for the value of 'l' in our formula for area we get:
area = w(2w +90), distribute: area = 2w² + 90w = 58500
Subtracting 58500 from both sides, we get the following polynomial:
2w² + 90w - 58500
We can divide all the terms by '2' to simplify:
w² + 45w - 29250
Next, we look for the two factors of 29,250 that will add up to 45, which is -150 and +190 to factor our polynomial:
(w - 150)(w + 190) = 0
Setting both equations equal to 0 and solving for w:
w - 150 = 0 or w = 150
w + 190 = 0 or w = -190
Since our with can not be negative, then the correct width of the field is 150 ft.
Answer:
£9.6
Step-by-step explanation:
x = the original price of a CD
£x = 100% of the original price
The price of a CD was decreased by 20% to £7.68.
This means:
£7.68 = 100% - 20%
£7.68 = 80% of the original price
From this, we will find 1% of the original price.
£7.68 ÷ 80 = 1%
£0.096 = 1%
Since the original price ( x ) = 100% of the original price, we will find 100% of the original price.
£0.096 × 100 = 100%
£9.6 = 100%
Therefore, the original price of a CD = £9.6
