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kap26 [50]
4 years ago
5

Keiko, Tony, and Frank sent a total of 121 text messages during the weekend. Tony sent 3 times as many messages as Frank. Keiko

sent 6 more messages than Frank. How many messages did they send?
Mathematics
1 answer:
kicyunya [14]4 years ago
8 0

Answer:

Frank-23, Tony-69, Keiko- 29

Step-by-step explanation:

n- Frank's messages

Tony's messages- 3n

Keiko's messages- n+6

3n+n+n+6=121

5n+6=121

5n=121-6

5n=115

n=115:5

n=23

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3 years ago
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Step-by-step explanation:

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4 0
3 years ago
Item 6 A savings account earns 5% simple interest per year. The principal is $1200. What is the balance after 4 years?
lions [1.4K]

The formula for simple interest is

I=PRT

here P=$1200

R=5% or 0.05

T=4 years

plugging in the formula we get

I=1200*0.05*4=240

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4 0
3 years ago
In a unit circle, the radian measure of the central angle is equal to the length of the ______
inn [45]

Answer:

A. Intercepted arc.

Step-by-step explanation:

From Geometry we know that arc (s), dimensionless, is measured by the following equation:

s = \theta \cdot r (1)

Where:

\theta - Central angle, measured in radians.

r - Radius, dimensionless.

If the circle has a radius of 1. Then, we notice that arc is directly proportional to the central angle. Hence, the right answer is A.

3 0
3 years ago
Determine and state the vertex of f(x) = x2– 2x – 8 using the method of completing the square.
timurjin [86]

Answer:x²-2x-8

X²-2x=8

X²= -2x + (-1)² = 8 + (-1)²

X²= -2x + 1 = 8 + 1

X²= -2x + 1 = 9

(X-1)² = 9

√(x-1)² = √9

X-1 = ± 3

X= 1 + 3= 4

X= 1 - 3= -2

X= 4 or X= -2

Step-by-step explanation:

3 0
3 years ago
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