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serious [3.7K]
3 years ago
10

Susan, Chang, and Henry sent a total of 127 text messages over their cell phones during the weekend. Chang sent 3 times as many

messages as Henry. Henry sent 7 fewer messages than Susan. How many messages did they each send?
Mathematics
1 answer:
Ymorist [56]3 years ago
4 0

Answer:

c = 72, h = 24, s = 31

Step-by-step explanation:

You can derive the following equations from the text:

s+c+h=127

c=3h

h=s-7

Solving them yields above answer.

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Questions 1-3 40 points
meriva

Answer:

  16%

Step-by-step explanation:

The additional wage amount is $80.

The original wage amount is $500.

The ratio of the two is ...

  $80/$500 = 0.16 = 16/100

To express that ratio as a percentage, multiply it by 100%.

  0.16 × 100% = 16%

_____

It might help you to think of the percent sign (%) as a fancy way to write "per hundred" (/100). Of course, using your knowledge of place value, you know that 0.16 = sixteen hundredths = 16/100.

Realizing the meaning of the % sign, you can immediately write this as 16%.

4 0
3 years ago
Help please BRAINLEISTTTTT
lesya [120]

Answer:

1) v 2)t 3)-5, 5.5

Step-by-step explanation:

ztydh

7 0
3 years ago
The daily revenues of a cafe near the university are approximately normally distributed. The owner recently collected a random s
lbvjy [14]

Answer:

The sample size to obtain the desired margin of error is 160.

Step-by-step explanation:

The Margin of Error is given as

MOE=z_{crit}\times\dfrac{\sigma}{\sqrt{n}}

Rearranging this equation in terms of n gives

n=\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2

Now the Margin of Error is reduced by 2 so the new M_2 is given as M/2 so the value of n_2 is calculated as

n_2=\left[z_{crit}\times \dfrac{\sigma}{M_2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{\sigma}{M/2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{2\sigma}{M}\right]^2\\n_2=2^2\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4n

As n is given as 40 so the new sample size is given as

n_2=4n\\n_2=4*40\\n_2=160

So the sample size to obtain the desired margin of error is 160.

4 0
3 years ago
at a parade, 1/4 of the participants have red hair, 1/6 of them have brown hair and the rest of them have black hair. which frac
netineya [11]
\frac{1}{1}-\ all\ participants\\\\
\frac{1}{4}-\ participants\ with\ red\ hair\\\\ \frac{1}{6}-\ participants\ with\ brown\ hair\\\\
participants\ ith\ black\ hair=1-\frac{1}{4}-\frac{1}{6}\ \ \ | mu;tiply\ by\ 12\\\\
12participants\ ith\ black\ hair=12-3-2\\\\
12participants\ ith\ black\ hair=7\ \ \ \ | divide\ by\ 12\\\\
participants\ ith\ black\ hair=\frac{7}{12}
6 0
3 years ago
Write a conditional statement for Marla has a piano lesson every Tuesday.
mestny [16]
Answer: A, If it is Tuesday, Marla has a piano lesson.

B. is implying that they don’t cancel any lesson at all for any reason

C. is implying that they cannot reschedule a lesson for a different day

D. is implying that Marla cannot play piano at all unless it is for a lesson
5 0
3 years ago
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