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3 years ago

YO dudes pls answer number 12

Mathematics

1 answer:

ololo11 [35]3 years ago

8 0

Answer:

$6.98

Step-by-step explanation:

0.29x+1.23y=Total amount

x=pounds of potatoes

y=pounds of onions

Substitute:

0.29(3.7)+1.23(4.8)

Multiply:

1.073+5.904

Add:

6.977

Round:

6.98

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If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21

Ilya [14]

This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34 + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

$\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}$

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}$

and now let's use those 2 found folks, to get the 21st term,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104$

3 0

3 years ago

. If the radius is doubled and the height is halved what is the ratio of the new volume to the original volume

photoshop1234 [79]

Answer: Ratio of new volume to original volume is 2:1.

Step-by-step explanation:

Let the radius of cylinder be 'r'

Let the height of cylinder be 'h'

Original volume of cylinder will be

$V=\pi r^2h$

If radius get doubled,

New radius be '2r'

If height get halved,

New height be will be

$\frac{h}{2}$

so, Volume of cylinder becomes

$Volume=\pi (2r)^2\times \frac{h}{2}=\pi \times 4r^2\times \frac{h}{2}\\\\Volume=2\pi r^2h$

Ratio of new volume to the original volume is given by

$2\pi r^2h:\pi r^2h\\\\2:1$

Hence, Ratio of new volume to original volume is 2:1.

8 0

3 years ago

Show that a% of b = b% of a

Dafna1 [17]

Answer:

See below

Step-by-step explanation:

a% of b

= b * a/100 = ab/100

b% of a

= a * b/100 = ab/100

So they are the same.

4 0

2 years ago

From data gathered in the period 2008−2012, the yearly value of U.S. exports can be modeled by the function E(x) = −228x3 + 2,25

tester [92]

Answer:you got this:)

Step-by-step explanation:

5 0

3 years ago

Solve the inequality. 6x + 3 > 3x + 30 A) x > 9 B) x > 11 C) x > −9 D) x > −11

ANTONII [103]

Subtract 33 from both sides

6x>3x+30-36x>3x+30−3

Simplify 3x+30-33x+30−3 to 3x+273x+27

6x>3x+276x>3x+27

Subtract 3x3x from both sides

6x-3x>276x−3x>27

Simplify 6x-3x6x−3x to 3x3x

3x>273x>27

Divide both sides by 3

3x>\frac{27}{3}x>

3x> 27

Simplify \frac{27}{3}

ANSWER: x>9

6 0

3 years ago