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Ad libitum [116K]

3 years ago

10

12. Determine which ratio forms a proportion with 15/8 by using cross products.

2 answers:

Xelga [282]3 years ago

6 0

Answer to 12: C.

Explanation: By dividing 60 by 15 you get 4 and by dividing 32 by 8 you get 4. 15 and 8 both go into it evenly so that is the answer.

Answer to 14: B

Explanation: when you divide 236.25 by 7 you get 33.75 and then multiply that by 2 and you get 67.7 so you know 2 fluid ounces of milk contain 67.7 mg of calcium

sorry i couldnt answer 13

m_a_m_a [10]3 years ago

6 0

Answer:

<h3>12.</h3>

Ratios that can form a proportion with 15/8 are those that are equivalent fractions. In this case, 60/32 can form a proportion with 15/8, because they are equivalent, if we simplify 60/32 we would have 15/8, because 60/4=15 and 32/4=8.

Therefore, the right answer is C.

<h3>13.</h3>

Here we apply the same definition, a proportion is an equality between two fractions. In this case, the ratios that can form a proportion are A. 9/45, 8/40, because both fractions are equivalent to 0.2.

<h3>14.</h3>

To solve this problem, we can apply the rule of three, if 7 ounces of milk provides 236.25 milligrams of calcium, how many ounces of milf would provide 67.5 milligrams of calcium.

$67.6 \ mgCa\frac{7 \ oz}{236.25 \ mgCa}= 2.00 oz$

Therefore, the right answer is B.

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Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1)

Naddika [18.5K]

Answer:

$x^{2} +y^{2} +(-8)\times x+ (-6)\times y = 0$

Step-by-step explanation:

General equation of circle is $x^{2} +y^{2} +2\times g \times x+2\times f\times y+c = 0$ ---------------------(1)

This circle passes through the given three points, (1,7) , (8,6) and (7,-1).

Substitute (1,7) in (1),

1 + $7^{2} +2\times g\times 1 + 2\times f\times 7 +c$ =0

2g + 14f + c = -50 -------------(2)

Substitute (8,6) in (1),

$8^{2} + 6^{2} +2\times g \times 8+2\times f\times 6 +c=0$

16g + 12f + c = -100 -----------(3)

Substitute (7,-1) in (1),

$7^{2} + (-1)^{2} +2\times g \times 7+2\times f\times (-1) +c=0$

14g - 2f + c = -50 ---------------(4)

Solving (2),(3) amd (4) simultaneously,

g = -4

f = -3

c = 0

Equation of circle is

$x^{2} +y^{2} +(-8)\times x+ (-6)\times y = 0$

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3 years ago

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A number cube is rolled 24 times and lands on a 2 four times and on 6 three times. find the experimental probability of not land

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3 years ago

Brantley tosses a ball out of a window that is 60 ft in the air. Its initial velocity is 18 ft per second. The path of the ball

kow [346]

Answer:

2.58 seconds

Step-by-step explanation:

When you complete the square, you get ...

h = -16(t -9/16)^2 +60 +81/16

Then the solution for h=0 is ...

t = (x -9/16)^2 = 1041/256

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7 0

3 years ago

What is the ratio AC: CB?

sleet_krkn [62]

Answer:

D. 1 : 2

Step-by-step explanation:

Given:

A(-6, -2),

B(6, 7),

C(-2, 1)

Required:

Ratio of AC : CB

SOLUTION:

Find AC:

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

Let,

$A(-6, -2) = (x_1, y_1)$

$C(-2, 1) = (x_2, y_2)$

$AC = \sqrt{(-2 -(-6))^2 + (1 -(-2))^2}$

$AC = \sqrt{(4)^2 + (3)^2}$

$AC = \sqrt{16 + 9} = \sqrt{25}$

$AC = 5$

Find CB:

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

Let,

$C(-2, 1) = (x_1, y_1)$

$B(6, 7) = (x_2, y_2)$

$CB = \sqrt{(6 -(-2))^2 + (7 - 1)^2}$

$CB = \sqrt{(8)^2 + (6)^2}$

$CB = \sqrt{64 + 36} = \sqrt{100}$

$CB = 10$

Find AC : CB

AC : CB = 5 : 10 = 1 : 2

7 0

4 years ago