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3 years ago

Calvin has 13 coins , all of which are quarters and nickels. The coins are worth $2.45. How many of each coin does Calvin have ?

Mathematics

1 answer:

zalisa [80]3 years ago

6 0

Answer:

Step-by-step explanation:

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What is the rule in the input/output table? A) add 4 B) subtract 4 C) divide by 2 D) multiply by 2 | inputs | 4 6 and 8 | output

MissTica

The rule in the input/out is D multiply by 2

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3 years ago

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Check whether the given number is a solution of the equation or

maxonik [38]

Answer:

13. is a solution of the equation. 14. and 15. are both inequalities.

Step-by-step explanation:

the equal sign is something you can look out for to decide if it is a solution to the equation. the > sign means 'greater than' and the ≤ means 'less than' or 'equal to'. both are not equals, therefore they are inequalities.

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3 years ago

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In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B

Step2247 [10]

Answer:

The coordinates of P are (-2,0)

The radius of the circle is 5.

Step-by-step explanation:

Analytic geometry

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

Substituting x1=-6, x2=2, y1=3, y2=-3:

$\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2$

$\displaystyle y_m=\frac{3-3}{2}=0$

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

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

Substituting x1=-6, x2=-2, y1=3, y2=0:

$r=\sqrt{(-2+6)^2+(0-3)^2}$

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

$r=\sqrt{16+9}=\sqrt{25}=5$

The radius of the circle is 5.

4 0

3 years ago

Factor n^2+5n-24. Show that the original polynomial and the factored from describe the same sequence of numbers for n=0,1,2,3,an

Lana71 [14]

Step-by-step explanation:

We have the original equation n ^ 2 + 5 * n - 24, when factoring we have:

(n + 8) * (n - 3)

Now by replacing the values:

n = 0

0 ^ 2 + 5 * 0 - 24 = - 24

(0 + 8) * (0 - 3) = - 24

n = 1

1 ^ 2 + 1 * 0 - 24 = - 18

(1 + 8) * (1 - 3) = -18

n = 2

2 ^ 2 + 5 * 2 - 24 = - 10

(2 + 8) * (2 - 3) = - 10

n = 3

3 ^ 2 + 5 * 3 - 24 = 0

(3 + 8) * (3 - 3) = 0

n = 4

4 ^ 2 + 5 * 4 - 24 = 12

(4 + 8) * (4 - 3) = 12

7 0

3 years ago

Convert to find the equivalent rate.

Blababa [14]

I’m thinking 1931
reason cause day to hour 24 hours make a day so divide 46344 by 24

6 0

3 years ago