Which equation is equivalent to 4(p + 8) = 2(r – 6) when solved for r?
2 answers:
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11.275 is the sale price of the hat
<u>Step-by-step explanation:</u>
Brainly the owner of a hat store buys a hat for 5.50 and he uses a mark-up rate is 105%. Need to find out what is the sale price of the hat.
Here, given data, cost price of hat = 5.5. Let the selling price of hat be x and find the data as asked in question,
5.775 + 5.5 = x
Where,
S.P - sale price
C.P - cost price
Therefore, x = 11.275 is the sale price of the hat.
Answer:
h= 24
Step-by-step explanation:
r= 7
1230.88=3.14×7^2×h/3
1230.88= 153.86h/3
h=1230.88/153.86
h= 24
Complete question is;
A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.
Which of the following could be the lengths of the shadows?
Choose 2 answers from the options attached.
Answer:
Options B & D
Step-by-step explanation:
From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.
Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;
3/x = 6.8/y
Let's make y the subject.
y = 6.8x/3
Looking at the options;
Option A: When x = 1.35 m, we have;
y = (6.8 × 1.35)/3 = 3.06 m
For Option B:
When x = 1.8 m,
y= (6.8 × 1.8)/3 = 4.08 m
For Option C:
When x= 3.75 m,
y = (6.8 × 3.75)/3 = 8.5 m
For option D:
When x = 0.6
y = (6.8 × 0.6)/3 = 1.36 m
For option E;
When x = 2,
y = (6.8 × 2)/3 = 4.533 m
From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D
