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Vlad [161]
4 years ago
11

Kay sent 60 text messages she said that 15% of her text messages were sent to her aunt how many text messages were not to her au

nt
Mathematics
1 answer:
Natalija [7]4 years ago
4 0

Answer:

51 messages

Step-by-step explanation:

15% sent to the aunt means that 100% - 15% = 85% of the texts were <em>not</em> sent to the aunt.

85% of 60 = (85/100)*60 = (85/10)*6 = 51

Therefore, the answer is 51 messages.

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What is the sum of 3/x=9/16
Studentka2010 [4]
Multiply 3 by both sides answer x=27/16 or in decimal 1.6875
7 0
4 years ago
Cover the costs:
Sergio039 [100]

Answer:

D. 1,044 is the total amount of money Mrs. Smith collected

4 0
3 years ago
Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b
Ede4ka [16]

Answer:

  • <u>After 1.7 hours</u>

Explanation:

<u>1. Calculate the average speed of train B</u>

  • 60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

<u>2. Build a table</u>

When the two trains meet:

Train     Average speed     Distance       time (distance/average speed)

                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

<u>3. Write the equation</u>

The time, when the two trains meet, is the same for both trains:

                  \dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles

<u>4. Calculate the time:</u>

  • x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

7 0
3 years ago
An article gave the following summary information for fracture strengths (MPa) of n = 196 ceramic bars fired in a particular kil
Oliga [24]

Answer:

54.80 MPa to 55.92 MPa

Step-by-step explanation:

Sample mean fracture strength (x) = 55.36 MPa

Sample standard deviation (s) = 3.99 MPa

Sample size (n) = 196.

The upper and lower bounds for a 95% confidence interval are given by:

U=x+1.960*\frac{s}{\sqrt{n}} \\L=x-1.960*\frac{s}{\sqrt{n}}

The upper and lower bounds of the confidence interval are;

U=55.36+1.960*\frac{3.99}{\sqrt{196}}\\U= 55.92\\L=55.36-1.960*\frac{3.99}{\sqrt{196}}\\L= 54.80\\

The 95% confidence interval for true average fracture strength is 54.80 MPa to 55.92 MPa

4 0
4 years ago
Find the area of the shaded region. Round your answer to the nearest hundredth.
Anit [1.1K]
The 4 curved white corners = 1/4 of whole circle with radius 1/2×6
total white area = 4 [1/4 (pi)(3)^2] = 9pi = 28.27

So the shaded green region (S) = total square - total white area

S = 6×6 - 28.27 = 36 - 28.27 = 7.73 sq. m
5 0
3 years ago
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