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1 year ago

Jaime make $8.20 on hour in his part-time job. He made $53.30 last week. How many hours did he work.

Mathematics

1 answer:

andrew11 [14]1 year ago

4 0

Answer:

he worked for 6 hours and 30 min

Step-by-step explanation:

what you do is take 53.30 and divide it by 8.20

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There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop

Anna71 [15]

Answer:

1/9

Step-by-step explanation:

135 in Sport centre: Total

59:swimming pool

31:track

19 both swimming and gym

16 gym and track

4 all three facilities

4 people use all three facilities, then

16 - 4 = 12 people use the gym and the track and do not use the pool;

9 - 4 = 5 people use the pool and the track and do not use the gym;

19 - 4 = 15 people use the gym and the pool and do not use the track.

At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is

4/36=1/9

Hope this helps!!!

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1 year ago

Determine which equations below, when combined with the equation 3x-4y=2, will form a system with no solutions. Choose all that

svetoff [14.1K]

Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,

y = mx + b

where m is slope and b is the y-intercept.

Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2

A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1

B. 2y = 1.5x - 1
Slope-intercept: y = 3x/4 - 1/2

C. 3x + 4y = 2
Slope-intercept: y = -3x/4 + 1/2

D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2

Hence, the answers to this item are A and D.

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1 year ago

The function f(x) = xπ−−√ gives the diameter, in inches, of a proposed spherical sculpture with a surface area of x square inche

natka813 [3]

Answer:

The average rate of change of f(x) = 3.14 inches⁻¹

The change in f(x) = 49.32 in

Step-by-step explanation:

The surface area of the spherical sculpture = x and its diameter f(x) = πx.

The average rate of change of f(x) as x changes is df(x)/dx = π = 3.14

Now the change in diameter Δf(x) = df(x) = (df(x)/dx)dx = πdx

dx = Δx = 28.3 in² - 12.6 in² = 15.7 in²

df(x) = π × 15.7 = 49.32 in

3 0

1 year ago

Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and

ser-zykov [4K]

For this case we have the following equation:
$7x - 10y = 3
$
From here, we must substitute ordered pairs of the form:
(x, y)
If the ordered pair satisfies the equation, then it belongs to the line.
We have then:

For (8, 5):
We substitute the following values:
$x = 8

y = 5

7 (8) - 10 (5) = 3

56 - 50 = 3

6 = 3$
We observe that the equation is not satisfied and therefore, this point does not belong to the line.
Since one of the points does not belong to the line, then the equation is not a good model.

Answer:
It is not a good model. One of the points does not belong to the line.

4 0

1 year ago

Read 3 more answers

Given right triangle ABC which of the following statements must be true? Check all that apply.

Pachacha [2.7K]

Answer:

Option A. <A and <B are complementary angles

Option D. $Sin(C)=Cos(90\°-C)$