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forsale [732]
3 years ago
9

The surface area of the cube is 54 square feet. What is the length, in feet, of one edge of the cube?​

Mathematics
1 answer:
Brut [27]3 years ago
5 0

Answer:

3 ft

Step-by-step explanation:

A cube is made of 6 equal faces each of which is a square with the same side length. The surface area of the cube is the surface area of one side multiplied by 6. We know the surface area is 54 so divide this by 6.

54/6 = 9 ft^2

Since the surface must be a square, take the square root of 9 which is 3 ft. The length of one edge of the cube is 3 ft.

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Priya has a recipe for banana bread. She uses 7 ½ cups of flour to make 3 loaves of banana bread. Andre will follow the same rec
Mnenie [13.5K]

Answer:

Option B)

b = \dfrac{2}{5}f  

Step-by-step explanation:

We are given the following in the question:

Priya uses 7\frac{1}{2} cups of flour to make 3 loaves of banana bread.

Thus, we can write the ration of bread to  amount of flour used as:

\text{Ratio} = \dfrac{3}{7\frac{1}{2}} = \dfrac{3}{\frac{15}{2}} = \dfrac{6}{15}

Now, b loaves of banana bread using f cups of flour.

This measurement will follow the same ratio.

Thus, we can write:

\dfrac{b}{f} = \dfrac{6}{15}\\\\b = \dfrac{2}{5}f

Thus, the correct answer is

Option B)

b = \dfrac{2}{5}f

4 0
2 years ago
a geometric series where the first term is -12, the last term is -972, and each term after the first is triple the previous term
Luba_88 [7]

Answer:

the geometric series is a(n) = -12(3)^(n-1)

Step-by-step explanation:

"Triple" denotes multiplication by 3.  Thus, the common factor here is 3.

The general formula for a geometric series is a(n) = a(1)(r)^(n-1), where a(1) is the first term, r is the common ratio.

Here, we have a(n)= (-12)(3)^(n-1) = -972.

We need to solve this for n, which represents the last term.

The first step towards solving for n is to divide both sides by -12:

3^(n-1) = 81

To solve for n-1, rewrite 81 as 3^4.  Then we have:

3^(n-1) = 3^4, implying that (n-1) = 4 and that n = 5.

Then we know that it is the 5th term that equals -972.

In summary, the geometric series is a(n) = -12(3)^(n-1).

8 0
3 years ago
100d=13.71 d is what
kherson [118]

Answer:

261661bdhejejejejejdjbene Y qllwlqqlo2o1001100

5 0
3 years ago
Hello please solve my question I need help figuring it out. Any links will be reported. Thank you!
IgorLugansk [536]

Answer:

D is true

Step-by-step explanation:

Hope it helps!

6 0
2 years ago
Show in fact that 1=9m + 20n for some integers m and n
marta [7]

Answer:

1=9\cdot 9+20\cdpt (-4)=81-80

Step-by-step explanation:

The greatest common divisor between 9 and 20 is 1, so we know the equation 1=9m+20n has a solution. A solution can be found either by inspection, or by applying Euclidean algorithm.

By inspection we just list some multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99

and also list some mutiples of 20:

20, 40, 60, 80, 100, 120

And so we see that we can find a multiple of 9 (81) which is 1 away from a multiple of 20 (80). Which is the solution given at the start.

For the Euclidean algorithm, we should divide the greatest of the two numbers, by the smallest one, and keep track of the remainder:

20 = 9 * 2 + 2

Then we divide 9 by the remainder we got, which is 2:

9 =  2 * 4 + 1

we would continue doing this until getting a remainder of 1 (which we just did). Finally we "solve" for 1, from the last equation:

9 - 2*4 = 1

And then we solve for 2 from the first equation, and plug that in into the previous equation:

20 - 9*2 =2

9 - ( 20 - 9*2)*4 = 1

which does give us the same solution: 9\cdot 9 +20\cdot (-4)=1

5 0
3 years ago
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