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sveta [45]
4 years ago
7

Help algebra. one question.

Mathematics
1 answer:
oee [108]4 years ago
6 0

Jenny's total earnings:

total earnings = (hours worked on design)*40 + (hours worked on maintenance)*35

average earnings = total earnings / hours worked

So far she has

total earnings = 18*40 + 20*35 = $1420

which is an average per hour = $1420/38hr = $37.37

How many more hours on webdesign: x

so that

($1420+x*$40)/(38+x)=38

Now solve for x - this I let you do. My results is x=12 (you can verify by plugging it iback into the equation).

The answer is Jenny needs to work 12 more hours to claim an average earnings of $38/hr. Lmk if you have questions.



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The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.
denis-greek [22]
\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b

which means there is some integer k for which a+b=9k.


Because 9\mid a and 9\mid b, there are integers n_1,n_2 such that a=9n_1 and b=9n_2, and


\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42

We have 42=2\cdot3\cdot7, which means there are four possible choices of n_1,n_2:

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for a,b:

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of a+b is 117.
6 0
3 years ago
A bag contains three red marbles, six blue marbles, and three yellow marbles. What is the probability of selecting one red marbl
Fed [463]

A bag contains three red marbles, six blue marbles, and three yellow marbles.

therefore total no. of marbles = 3 + 6 + 3 = 12

total no. of red marble = 3

therefore probablity of selecting one red marble is 3/12 = 1/4

again total no. of blue marbles is 6

therefore probability of selecting one blue marble is 6/12 = 1/2

now total probability of selecting one red ball replacing it then selecting one blue marble is. 1/4 * 1/2 = 1/8

4 0
3 years ago
Find the surface area of the triangular prism. *
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Answer:

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F(x)=x²-3x-2 then f(-1) is given by​
evablogger [386]

Answer:

f(-1) = 2

Step-by-step explanation:

To evaluate this function at x = -1, replace "x" in the equation with (-1) (you should use the parentheses as indicated here).

f(x)=x²-3x-2 becomes

f(-1)=(-1)² - 3(-1) -2, or

f(-1) = 1 + 3 - 2, or

f(-1) = 2

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3 years ago
Find the missing angle.
Svetlanka [38]

Answer:

85°

Step-by-step explanation:

The sum of all angles in a triangle is 180°

180 = y + 37 + 58

y = 180 - 37 - 58

y = 85

5 0
3 years ago
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