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3 years ago

Calculate the pay for the following day of a weekly time card given a wage of $14/hr

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

8 0

Answer: $122.50

Step-by-step explanation:

We know the difference between the time the employee clocked in and clocked out = 1200 - 0800 = 4 hours

The next clock in and out = 17:30 - 12:45 = 4 hours, 45 minutes.

These times combined = 8 hours, 45 minutes

$\frac{45}{60}$ minutes in an hour = $\frac{3}{4}$ of an hour.

The total time worked was 8 $\frac{3}{4}$ hours.

Multiply 8.75 × $14 = $122.50

I am not a professional, simply using prior knowledge.

Note- it would mean the world to me if you could mark me brainliest!

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lorasvet [3.4K]

Answer:

The value of k is 1.

Step-by-step explanation:

x – 1 is a factor of f(x)

This means that:

x - 1 = 0

x = 1

That means that when $x = 1, y = 0$ . We use this to find the value of k.

f(x) = 3x^3 - 4x + k

$3*1^3 - 4(1) + k = 0$

$3 - 4 + k = 0$

$k = 1$

The value of k is 1.

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3 years ago

−4x+7y+5=0 x−3y=−5 How many solutions does the system have?

xeze [42]

Solution:

Using Substitution Method:

-4x+7y=-5 (Equation 1)

x-3y=-5 (Equation 2)

get the value of x from Equation 2

x=3y-5 (Equation 3)

Put the value of x from Equation 3 in Equation 1

-4(3y-5)+7y=-5

-4(3y)+20+7y=-5

-12y+7y=-5-20

-5y=-25

Negative sign on both sides cancels each other

y=25/5

y=5

Putting value of y in equation 3

x=3(5)-5

x=15-5

x=10

Therefore, [x,y]=[10,5]

Using Elimination Method

-4x+7y=-5 (Equation 1)

x-3y=-5 (Equation 2)

Multiply equation 2 with -4 in order to eliminate the x term

-4(x-3y)=-5*4

-4x+12y=20 (Equation 3)

Adding Equation 1 and 3

-4x+7y=-5

-4x+12y=20

+ - = - (Change Of Sign with x and y terms)

-----------------

0x-5y = -25

-5y=-25

y=5

Substituting y’s value is Equation 1

-4x+7(5)=-5

-4x+35=-5

-4x=-40

Cancellation of negative sign on both sides

x=40/4

x=10

[x,y]=[10,5]

3 0

3 years ago

GJ is a midsegment of triangle DEF, and HK is a midsegment of triangle GFJ. What is the length of HK?

loris [4]

Answer:

Option B) 4 centimeters

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of n

we know that

a) GJ is a midsegment of triangle DEF

then

G is the midpoint segment DF and J is the midpoint segment EF

DG=GF and EJ=JF

b) HK is a midsegment of triangle GFJ

then

H is the midpoint segment GF and K is the midpoint segment JF

GH=HF and JK=KF

In this problem we have

HF=7 cm

GH=7 cm

GF=GH+HF ----> by addition segment postulate

GF=7+7=14 cm

Remember that

DG=GF

substitute the given values

$2n-1=14$

solve for n

$2n=14+1$

$2n=15$

$n=7.5\ cm$

step 2

Find the length of GJ

we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

$GJ=\frac{1}{2}DE$

we have

$GE=2n+1=2(7.5)+1=16\ cm$

substitute

$GJ=\frac{1}{2}16=8\ cm$

step 3

Find the length of HK

we have that

$HK=\frac{1}{2}GJ$ ----> by the midpoint theorem

we have

$GJ=8\ cm$

substitute

$HK=\frac{1}{2}8=4\ cm$

7 0

3 years ago

Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train

Art [367]

So you want to make it: total distance (d) = rate (r) × total time (t), solving for r: r = d / t
r = (420mi) / (3h+214h), r = 420mi / 217h
r = 1.935mi/h = 1.94mi/h

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3 years ago

Read 2 more answers

You are presented with three urns. each urn has 10 marbles. in addition, each urn holds only black or red marbles. urn 1 has 3 r

Pachacha [2.7K]

To calculate this probability we must take into account that there is the same probability that any of the 3 urns is chosen.
This probability is:
P (U1) = P (U2) = P (U3) = 1/3
Urn 1 contains 7 black and 3 red marbles
Urn 2 contains 2 black and 8 marbles network
Urn 3 contains 5 black marbles and 5 red marbles.

The probability of obtaining a black marble in Urn 1 is 7/10.
The probability of obtaining a black marble in Urn 2 is 2/10
The probability of obtaining a black marble in Urn 3 is 5/10.

Then we look for the probability of obtaining a black marble from urn 1 or a black marble from urn 2 or a black marble from urn 3. This is:
P (U1yB) + P (U2yB) + P (U3yB)
So:
(1/3) * (7/10) + (1/3) * (2/10) + (1/3) * (5/10) = 0,2333 + 0,0667 + 0,1667 = 0, 4667.
The probability that it is a black marble is 46.67%

5 0

3 years ago