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Ivenika [448]
3 years ago
13

Prove that there does not exist integers m and n such that 2m+4n=7

Mathematics
1 answer:
slamgirl [31]3 years ago
8 0
2m+4n=7\iff m+2n=\dfrac72

There is no choice of integers (m,n) such that the left hand side is a rational number.
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What is the lateral area of the cone? 10 yd and 12.1 yd
Harman [31]

Answer:

The lateral area will be "381 yd²". A further solution is provided below.

Step-by-step explanation:

The given values are:

Radius of cone,

r = 10 yd

Height of cone,

L = 12.1 yd

As we know,

The lateral surface area of cone is:

=  \pi r L

On substituting the values, we get

=  \frac{22}{7}\times 10\times 12.1

=  \frac{22}{7}\times 121

=  380.28 \ yd^2

0r,

=  381 \ yd^2

8 0
3 years ago
The number of students in Mrs. Patrick's piano class decreased by 15% in 2 years to 17 students. How many students did she have
guapka [62]

Answer:

20 students

Step-by-step explanation:

If the class decreased by 15%, the students that she has now (17) represents a percentaje of:

100% - 15% = 85%

so<u> the 17 students are 85% of what she had</u>:

Students         Percentage

      17          ⇒        85%

and we are looking for how many students she had 2 years ago, thus we are looking for the <u>100%</u> of students (the original number of studens). If we represent this number by x:

Students         Percentage

      17          ⇒        85%

      x          ⇒        100%

and we solve this problem using the <u>rule of three</u>: multiply the cross quantities on the table( 17 and 100) and then divide by the remaining amount (85):

x = 17*100/85

x = 1700/85

x=20

2 years ago she had 20 students

6 0
3 years ago
Divide 254 by 11.8. round your answer to the nearest hundredth.
Olin [163]
The answer is 21.52 so I hope that helped
8 0
3 years ago
Read 2 more answers
aticengleSidesourcesActivitiesClassify the following triangle. Check all that apply.11.9132eA. equilateralB. obtusen C. rightD.
Anuta_ua [19.1K]
The triangle is obtuse and scalene.
7 0
3 years ago
(6.04)The scatter plot shows the relationship between the number of hours spent jogging and the number of minutes spent stretchi
DENIUS [597]
The y int is where the line crosses the y axis...it is (0,1)...or just 1

1 minute, the number of minutes students stretch when they do not jog
5 0
3 years ago
Read 2 more answers
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