A
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Answer:
A) (4,1) C) (12,3) D) (20,5)
Step-by-step explanation:
Required
Which has a constant of proportionality of 1/4
To solve this, we make use of:
Where k is the constant of proportionality.
Solve for x
<u>Testing the given options</u>
A) (4,1)
B) (8,12)
C) (12,3)
D) (20,5)
E) (12,6)
We can let x be the number of boxes sold for the first week. We can as well express the number of boxes for the second and third week through x using the statements provided.
Since the girl scout sold 5 more boxes on the second week, we have (x + 5) number of boxes sold for the second week. Now, for the third week, since it's double that of the second week, we have 2(x + 5). Thus, we have the following:
first week: x
second week: x + 5
third week: 2(x + 5)
Given that the total number of boxes sold for the three weeks is 431. We have
x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2x + 10 = 431
4x + 15 = 431
4x = 431 - 15
4x = 416
x = 104
We have now the value of x. Using this, we can find the values for the second and third week.
x + 5 = `104 + 5 = 109
2(x + 5) = 2(109) = 218
Answer:
first week: 104
second week: 109
third week: 218
Answer:
£231.85
Step-by-step explanation:
→ Work out the decimal multiplier
( 3 + 100 ) ÷ 100 = 1.03
→ Multiply the initial investment by the multiplier raised to the power of years
200 × ( 1.03 )⁵ = £231.85
Answer:
192 cubes
Step-by-step explanation:
So all we need to do is:
1) Find the area of 1 cube.
2) Divide the large prism volume with this.
SO 1)
the volume of cube = Length * width * height = (1/4)^3 = 1/64
SO 2)
the volume of prism / the volume of cube = 3/(1/64) = 192
Answer: 192 cubes
