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3 years ago

Please help with number 5. Select all that apply.

Mathematics

1 answer:

posledela3 years ago

8 0

Answer: options A, B and C are correct

Step-by-step explanation:

Ray's daily pay,P in dollars is given by the function, p(h) = 10h with h representing the number of hours that he worked on that day. If he worked c hours on Thursday and this is 3 hours more than he worked on Friday, then the following statement is true. We substitute c and c-3 for Thursday and Friday into the given function, p(h) = 10h

A) 10c -3 represents Ray's pay in dollars on Friday.

B) 10c represents Ray's pay in dollars on Thursday.

C) p(c ) - p(c-3) represents how much more Ray's pay was on Thursday than on Friday

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Two number are in the ratio 5:6 and their sum is 44 .Use z as variable

Mariulka [41]

Answer:

the numbers are 20 and 24

Step-by-step explanation:

The numbers are in the ratio 5 : 6 = 5z : 6z , where z is a multiplier

The numbers sum to 44, thus

5z + 6z = 44

11z = 44 ( divide both sides by 11 )

z = 4

Hence

5z = 5 × 4 = 20

6z = 6 × 4 = 24

The two numbers are 20 and 24

8 0

3 years ago

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7. Which of the following can be determined from the graph below?

tatyana61 [14]

Answer:

The ordered pair (6,25) is a solution to both

$y=-\frac{5}{2}x+40$ and $y=\frac{5}{3}x+15$

Step-by-step explanation:

Part 7)

step 1

Find the equation of the line with positive slope

take the points (0,15) and (9,30)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{30-15}{9-0}$

$m=\frac{15}{9}$

simplify

$m=\frac{5}{3}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{5}{3}$

$b=15$

substitute

$y=\frac{5}{3}x+15$

step 2

Find the equation of the line with negative slope

take the points (0,40) and (8,20)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{20-40}{8-0}$

$m=-\frac{20}{8}$

simplify

$m=-\frac{5}{2}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-\frac{5}{2}$

$b=40$

substitute

$y=-\frac{5}{2}x+40$

step 3

Find the solution of the system

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (6,25) ----> see the graph

therefore

The ordered pair (6,25) is a solution to both $y=-\frac{5}{2}x+40$ and

$y=\frac{5}{3}x+15$

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3 years ago

What is the slope of the line shown below?

Ksivusya [100]

M = (8-2)/(4-2) = 3
Therefore the slope is 3 (D).

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3 years ago

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A jar contains 30 red, 30 blue, and 60

kiruha [24]

The probability of picking red button is $\frac{1}{4}$

Solution:

Given, A jar contains 30 red, 30 blue, and 60 white buttons.

You pick one button at a random choice,

We have to find the probability that it is red button.

Now, total number of buttons = 30 + 30 + 60 = 120 buttons.

Number of favourable cases for red button = 30 red buttons.

The probability of an event is given as:

$\text { probability of a event }=\frac{\text { favourable ways to pick red }}{\text { total possiblities }}$

$=\frac{30}{120}=\frac{1}{4}$

Thus the probability that it is red is $\frac{1}{4}$

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3 years ago

If $10,000 is invested at a rate of 2.5 percent for 5 years, how much money is in the account at the end of the term?

Vladimir [108]

10,000(1 + .025 x 5)
11,250

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3 years ago

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