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Fittoniya [83]
3 years ago
5

The Ratio of Marbles is 3 green: 7 blue: 5 red. If a bag of marbles has 225 marbles in it,

Mathematics
1 answer:
anyanavicka [17]3 years ago
6 0

Answer:

45 green marbles

Step-by-step explanation:

Green : Blue : Red = 3 : 7 : 5

Fraction of green marbles = \frac{3}{3+7+5}=\frac{3}{15}

Total marbles = 225

Number of green marbles = \frac{3}{15}*225

                                           = 3 * 15

                                           = 45

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MARK ME AS BRAINLIEST <em>OK</em><em> </em><em>FRIEND</em>

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2 years ago
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the ratio of pennies to quarters in a piggy bank is 14:3. if there are 51 quarters in the bank, how many pennies are there
malfutka [58]

The number of pennies in bank is 42

<em><u>Solution:</u></em>

Given that ratio of pennies to quarters in a piggy bank is 14 : 3

Let 14x be the number of pennies in piggy bank

Let 3x be the number of quarters in piggy bank

<em><u>To find: number of pennies</u></em>

Given that there are 51 quarters

number of pennies in piggy bank + number of quarters in piggy bank = 51

14x + 3x = 51

17x = 51

x = 3

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4 0
3 years ago
Select the correct answer from each drop-down menu.
serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: (x-4)^2+(y-8)^2=6.25

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

The center is at; (\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(4-4)^2+(10.5-8)^2}

r=\sqrt{0^2+(2.5)^2}

r=\sqrt{0^2+(2.5)^2}=2.5

The equation of the circle in standard form is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get;

(x-4)^2+(y-8)^2=2.5^2

(x-4)^2+(y-8)^2=6.25

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Answer:

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Step-by-step explanation:

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