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Bezzdna [24]
2 years ago
6

Q: The ratio of the numbers of Nick's marbles to Michael's is 3:5. Nick has 36 marbles. If Nick receives

Mathematics
1 answer:
Nataly [62]2 years ago
7 0

Answer:

\frac{3}{4}

Step-by-step explanation:

\frac{3}{5}  =  \frac{36}{x}

3x = 36 x 5

3x = 180

x = 60

Michael has 60 marbles.

Nick recieves 9 more marbles so he has 36 + 9 = 45 marbles

The new ratio will be:

\frac{45}{60}  = \frac{3}{4}

You might be interested in
Write a polynomial function that meets the stated conditions.The zeros are −1, 2, and 7.
kondaur [170]

Answer:

A polynomial function that meet the conditions is x³ - 8x² + 5x + 14 = 0

Step-by-step explanation:

Hi there!

Let´s start writting a generic factored function. In this case, the function has 3 zeros so that the factored form will have 3 terms:

(x + a)(x + b)(x + c) = 0

For this expression to be 0, either (x+a) = 0 or (x+b) = 0 or (x+c) = 0

Then:

x + a = 0 ⇒ x = -a

x + b = 0 ⇒ x = -b

x + c = 0 ⇒ x = -c

Then, the values "a", "b" and "c" are equal to the zeros of the function but with opposite sign. Then, in our case:

a = 1

b = -2

c = -7

Then, the polynomial fuction will be:

(x + 1)(x - 2)(x - 7) = 0

Apply distributive property:

(x² - 2x + x -2)(x -7) = 0

(x² - x - 2)(x - 7)

x³ - x² - 2x - 7x² + 7x + 14 = 0

x³ - 8x² + 5x + 14 = 0

Then, a polynomial function that meets the conditions is:

x³ - 8x² + 5x + 14 = 0

Have a nice day!

6 0
3 years ago
Find the area of the figure<br> 2m<br> 3m<br> 6m<br> 3m
aliya0001 [1]

Answer:

To find the answer, you multiply all of them together when your finding area.. so.. 2x3x6x3 = 108

8 0
3 years ago
Read 2 more answers
Pls help!!!!!!!!!!!!!!!!
Ludmilka [50]

Answer:

B

Step-by-step explanation:

they are similar and 7 / 5 = 21 / 15

5 0
3 years ago
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Dante has been pitting one penny in his bank every day. Now he has 161 pennies.For how many weeks has Dante been adding pennies
Alja [10]
1 penny each day = 7 pennies each week
total pennies = 161

divide 161 by 7 = 23 weeks
5 0
3 years ago
What is the surface area of the cube? Drag and drop the correct surface area to match the cube.
denis23 [38]
<span>b. 77.76 in2 im 100% sure

</span>
6 0
3 years ago
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