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2 years ago

Sylvie made the solid figures shown using unit cubes.

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

5 0

Answer:

The answer is B.

"The volume of Model B is 4 cubic units greater than the volume of Model A."

Step-by-step explanation:

I just took the test and it's correct, I am sorry if it's not correct but I'm 99.9% sure it is accurate

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3 years ago

10. Both x and y vary inversely with each other. When x is 10, y is 6,which of the following is not a possible pair of correspon

elena55 [62]

9514 1404 393

Answer:

D) 45 and 1.2

Step-by-step explanation:

The "varies inversely" relationship is described by the equation ...

y = k/x . . . . . . y varies inversely with x (and vice versa)

The value of k can be found from known values of x and y:

xy = k . . . . . . multiply the above equation by x

(10)(6) = k = 60 . . . . using the given values

To check if a given pair of numbers satisfies ...

y = 60/x

you can multiply them together to see if the product is 60.

(A) 12×5 = 60

(B) 15×4 = 60

(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.

45 and 1.2 are not a possible solution for x and y.

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2 years ago

35% of f is 14. What is f? Enter your answer as a numeric expression.

Nata [24]

Answer:

Step-by-step explanation:

14/35 = f/100

35f = 14 x 100

f = 14 x 100 /35

f = 40

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2 years ago

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

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2 years ago