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VLD [36.1K]
3 years ago
8

Solve using the guess-and-test strategy. . . The math club has 57 members who are in sixth or seventh grades. There are twice as

many sixth graders as seventh graders. . . How many sixth graders are in the club?. . A.. 38. . B.. 37. . C.. 19. . D.. 18
Mathematics
1 answer:
REY [17]3 years ago
8 0
The guess-and-test strategy may be made easier by using the choices.
A. 38 sixth graders   ----> 57 - 38 = 19 . There are 19 seventh graders. This option already satisfy the condition that the number of sixth graders should be twice that of the seventh graders. There is no need to test for the remaining choices. The answer is letter A. 
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Please help me ASAP, thank you ^-^. The radius of the cone is 7 in and y = 25 in. What is the volume of the cone in terms of π?
MrRa [10]
<h2>Answer:</h2>

The volume of the cone in terms of π is:

             

A.     392π in³

<h2>Step-by-step explanation:</h2>

The radius of the cone i.e. r is: 7 in.

and the slant height of the cone i.e. l=y=25 in.

and let h=x be the height of the cone.

Now, using the Pythagorean Theorem we have:

l^2=r^2+h^2\\\\i.e.\\\\h^2=l^2-r^2\\\\i.e.\\\\h^2=(25)^2-7^2\\\\i.e.\\\\h^2=625-49\\\\i.e.\\\\h^2=576\\\\i.e.\\\\h=\sqrt{576}\\\\i.e.\\\\h=24

Hence, we get:

h=x=25\ in.

Now, the volume of the cone is given by:

Volume=\dfrac{1}{3}\pi r^2h\\\\i.e.\\\\Volume=\dfrac{1}{3}\times\pi\times (7)^2\times 24\\\\i.e.\\\\Volume=392\pi\ in^3

        Hence, the answer is: Option: A

6 0
3 years ago
Read 2 more answers
What is the volume in cubic inches of the cylinder, rounded to the nearest cubic inch?
son4ous [18]

\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=9\\ h=7 \end{cases}\implies V=\pi (9)^2(7) \\\\\\ V=\pi (81)(7)\implies V=567\pi \implies V\approx 1781.28\implies \stackrel{\textit{rounded up}}{V=1781}

7 0
4 years ago
Really Easy
LiRa [457]
Part A:
[$25-( $0.50×22)]÷$2=n

Part B:
[$25-($0.50×22)]÷$2=n
[$25-($11)]÷$2=n
[$14]÷$2=n
7=n

Part C: Brandon purchased 7 meals last month.
3 0
3 years ago
Solve the problem below: 624+ 34+ 312+ 85=​
viktelen [127]
1055 is what i got. have a good day!
7 0
3 years ago
Mrs.Fernandez must drive 6 1/9 miles to work every day. How many miles will Mrs.Fernandez have driven after 12 days of work?
Serjik [45]
Well since we know that for one day Mrs. Fernandez drives 6 and 1/9 miles to work what could we do to get 12 days of work driven.
all we have to do here is multiply 12 and 6 and 1/9 :) lets set this up
    1                                                                 1         12
6 ----  x  12    or lets set this up like this  6 ----  x  -----
    9                                                                9         1

but lets change that whole fraction into an improper fraction 
    1
6 ----  so all we do is multiply 6 x 9 and add the 1 so lets try that 
    9
 6 x 9 = 54 
54 +1 = 55 
hey look we have our numerator!! ( the top number) 
and our bottom number would stay the same as 9 so lets try this again:)
 55
----- now lets plug it in to our problem 
  9

 55        12
-----   x  -----
  9          1

now lets just multiply across

 55        12    = 55 x 12 = 660
-----   x  ----- 
<span>  9          1     = 9 x 1 = 9 
</span>
so now our fraction look like this 
 660
-------
   9
but lets make it not look so confusing and divide 660 by 9
660/9 = 73.33333333
again it still looks confusing but we can round it out to beeeee
73
so this means that for 12 days Mrs. Fernandez drove 73 miles!
hope this isnt confusing;)
have a good one and mark me brainliest!

3 0
4 years ago
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