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saul85 [17]
2 years ago
15

Helppppppppppppppppp

Mathematics
1 answer:
Softa [21]2 years ago
8 0

Answer:

CA = 32

Step-by-step explanation:

By intersecting chords theorem:

12(4x + 1) = 14(3 + 3x) \\  \\ 48x + 12 = 42 + 42x \\  \\ 48x - 42x = 42 - 12 \\  \\ 6x = 30 \\  \\ x =  \frac{30}{6}  \\  \\ x = 5

CA = 14 + ( 3 + 3x)

CA = 14 + ( 3 + 3*5)

CA = 14 + ( 3 + 15)

CA = 14 + 18

CA = 32

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The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72
Brut [27]

Answer:

The maximum number of songs that the symphonic choir can record is 14

Step-by-step explanation:

Let

x ----> the number of songs of the symphonic choir

we know that

The number of songs of the jazz choir multiplied by its average time per song plus the the number of songs of the symphonic choir multiplied by its average time per song, must be less than or equal to 72 minutes

so

The inequality that represent this situation is

3(7)+3.5(x)\leq 72

solve for x

21+3.5x\leq 72

subtract 21 both sides

3.5x\leq 51

divide by 3.6 both sides

x\leq 14.6\ songs

therefore

The maximum number of songs that the symphonic choir can record is 14

3 0
2 years ago
In 10 years, a bank account with a 5.25% annual interest rate earned $18,375 as simple interest. What was the principal amount?
sdas [7]

Answer:

The principal amont was $35,000

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

E = 18375, t = 10, I = 0.0525

We want to find P. So

E = P*I*t

18375 = P*0.0525*10

0.525P = 18375

P = \frac{18375}{0.525}

P = 35000

The principal amont was $35,000

5 0
2 years ago
What math property is this example?:<br><br>5+(-5)=0​
belka [17]

Answer:

Additive Identity Property: The sum of any number and zero is the original number. For example 5 + 0 = 5

Step-by-step explanation:

Additive Identity Property: The sum of any number and zero is the original number. For example 5 + 0 = 5

6 0
3 years ago
A three-person committee is chosen at random from a group of 8. How many different committees are possible?
Jobisdone [24]
8x7x6 = 336. There are 8 possible options for slot 1, then 7 for 2, and 6 for the last slot.
8 0
2 years ago
What is the slope of a line parallel to the line -3x + 5y = -10?
mel-nik [20]
Y=0.6x+5 is the slope of a line parallel to the line -3x+5y=-10
4 0
3 years ago
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