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Anastaziya [24]
3 years ago
5

Solve for a. ​ 1/3(21−3a)=6−a​ a.−1 b.0 c.no solution d.all real numbers

Mathematics
1 answer:
kifflom [539]3 years ago
3 0
1/3(21 - 3a) = 6 - a
7 - a = 6 - a
7 = 6

Therefore, the equation has no solution.
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Equivalent ratio for 12/17
siniylev [52]

Answer: 24:34


Step-by-step explanation:

If you multiply the ratio by 2, for example, it will still be equal.


5 0
3 years ago
The leopard population in an African wildlife area is currently 17. Due to a new conservation effort, conservationists hope the
kykrilka [37]

Answer:

a{_n} = 17 + (n - 1)4 for n = 1, 2, . . . , 20.

Step-by-step explanation:

This is an arithmetic sequence, because the population is said to increase by 4 animals yearly. The formula for the nth term in an arithmetic sequence is given by:

a{_n} = a{_1} + (n - 1)d where a_n is the nth term, [/tex]a_1[/tex] is the first term, n = 1, 2, . . . and d is the common difference.

Since they are currently 17, this implies that the first number in the population sequence will be 17. In order words, the first term is 17.

Since they increase by 4 yearly, then the common difference is 4.

Since it's for 20years, the n = 1, 2, . . ., 20. The explicit formula is therefore:

a{_n} = 17 + (n - 1)4 for n = 1, 2, . . . , 20.

8 0
3 years ago
What is the equation of the line that passes through (4, -1)
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

answer: y = -5 + 19

We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)

Where m is the slope and (x1y1) is a point the line passes through.

Susbtituting the slope and values from the point from the problem gives:

(y−−1)=−5(x−4)

(y+1)=−5(x−4)

We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b

Where m is the slope and b is the y-intercept value.

Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:

−1=(−5⋅4)+b

−1=−20+b

20−1=20−20+b

19=0+b

19=b

We can substitute for m and b in the formula to find the equation:

y=−5x+19

6 0
2 years ago
Read 2 more answers
Which expression is equivalent to 36a minus 27?
schepotkina [342]

Answer:

It's the <u>first expression </u>

Step-by-step explanation:

<em><u>9 (4a minus 3)</u></em>

(9x4a)-(9x3)

36a minus 27

5 0
3 years ago
If a÷b=3 and a+b=2 what is a – b?<br><br>​
77julia77 [94]
A=2-b
2-b/b=3
2-b=3b
B=1/2
A=3/2
A-b=3/2-1/2=1
Answer is 1
6 0
3 years ago
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