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kap26 [50]
3 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]3 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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In which quadrant is the point (4, -5)?
oksian1 [2.3K]

Answer:

quadrant four (IV)

Step-by-step explanation:

hope this helps

5 0
3 years ago
Natasha is a bank teller. She received a 5% raise last year and a subsequent merit raise of 3% this year. What is the accumulati
Anvisha [2.4K]

Answer:

The correct answer is C. 8.15%.

Step-by-step explanation:

Given that Natasha is a bank teller, and she received a 5% raise last year and a subsequent merit raise of 3% this year, to determine what is the accumulative or compound effect of these two raises as a percentage, the following calculation must be performed, assuming, as an example, that her starting salary was $ 2,000:

(2,000 x 1.05) x 1.03 = X

2,100 x 1.03 = X

2,163 = X

2,000 = 100

2,163 = X

2,163 x 100 / 2,000 = X

216,300 / 2,000 = X

108.15 = X

108.15 - 100 = 8.15

Thus, the compound effect of both salary increases is a salary increase of 8.15%.

8 0
3 years ago
−30=5(x+1)minus, 30, equals, 5, left parenthesis, x, plus, 1, right parenthesis<br> x =x=x, equals
ivann1987 [24]

Answer:

x = -7

Step-by-step explanation:

−30=5(x+1)

Divide each side by 5

-30/5=5/5(x+1)

-6 =x+1

Subtract 1 from each side

-6-1 = x+1-1

-7 =x

8 0
3 years ago
In each of problems 5 through 11, find the general solution of the given differential equation
Brrunno [24]

The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function y(t)=e^t  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

<h3>What is a function?</h3>

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

y_1(t) = e^t

Given differential equations are,

y''-y = 0

 So that,  

y' (t) = e^t, y'' (t) = e^t

Substitute values in the given differential equation.

e^t -e^t=0

                   

Therefore, the function y(t)=e^t  is the solution of the given differential equation.

Another function;

y(t)=cosht  

So that,  

y"(t)=sinht\\\\y"(t)=cosht

Hence, function y(t)=cosht is solution of given differential equation.

Learn more about function here:

brainly.com/question/2253924

#SPJ1

7 0
2 years ago
What times 9 equal 24
joja [24]
24÷9=2.67.....................
8 0
3 years ago
Read 2 more answers
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