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Vlad1618 [11]
3 years ago
15

The sum of two numbers is 55. The larger number is 19 more than the smaller number. What are the numbers?

Mathematics
1 answer:
n200080 [17]3 years ago
3 0

Answer:18

Step-by-step explanation:

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The newly elected president needs to decide the remaining 8 spots available in the cabinet he/she is appointing. If there are 14
Elanso [62]

Answer:

The members of the cabinet can be appointed in 121,080,960 different ways.

Step-by-step explanation:

The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

Permutations of 8 from a set of 14. So

P_{(14,8)} = \frac{14!}{(14-8)!} = 121,080,960

The members of the cabinet can be appointed in 121,080,960 different ways.

3 0
3 years ago
What is the equation of the
Leya [2.2K]

Answer:

y = 2x - 1

Step-by-step explanation:

Here we have the slope, m = 2, and one point on the line, (2, 3).  Plugging these values into the point-slope formula y - k = m(x - h), we get:

y - 3 = 2(x - 2), or y = 3 + 2x - 4, or y = 2x - 1 in slope-intercept form.

8 0
3 years ago
What fomula can be used to describe the sequence? -2/3,-4,-24,-144
Lunna [17]

This is a geometric sequence with n th term formula

a_{n} = a_{1}(r)^{n-1}

where r is the common ratio and a_{1} the first term

here a_{1} = - \frac{2}{3} and

r = \frac{-144}{-24} = \frac{-24}{-4} = 6

a_{n} = - \frac{2}{3}(6)^{n-1}

or in terms of x

f(x) = - \frac{2}{3}(6)^{x-1}



5 0
3 years ago
Can somebody help me please?
Gnesinka [82]

Answer:

$22.50

Step-by-step explanation:

C= 0.20X+14.50

C=0.20(40)+14.50

C=8+14.50

C=22.50

5 0
3 years ago
Read 2 more answers
(01.06 MC) Jonna is 4 years older than her brother. Which of the following expressions shows the sum of their ages if b represen
Lana71 [14]
Your equation will be: b+4
6 0
3 years ago
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