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kolezko [41]
3 years ago
7

Carrington used 3/4 of the 1/2 of an hour allotted for an exam to do the first 3 problems. How much time does he have left for t

he remaining part of the exam?
Mathematics
2 answers:
Verizon [17]3 years ago
6 0

Answer: \dfrac{1}{8}~\textup{hour} left for the remaining part of the exam.

Step-by-step explanation:  Given that Carrington used \dfrac{3}{4} of the \dfrac{1}{2} of an hour allotted for an exam to do the first 3 problems.

We are to calculate the time that he has left for the remaining part of the exam.

We have

Total time used i the first three problems is given by

\dfrac{3}{4}\times \dfrac{1}{2}=\dfrac{3}{8}~\textup{hour}.

Therefore, the time left to complete the remaining part of the exam will be

T_r=\dfrac{1}{2}-\dfrac{3}{8}=\dfrac{4-3}{8}=\dfrac{1}{8}~\textup{hour}.

Thus, \dfrac{1}{8}~\textup{hour} left for the remaining part of the exam.

slavikrds [6]3 years ago
3 0

Answer:

22 minutes 30 seconds

Step-by-step explanation:to get the answer first we get 3/4 of 30 minutes which is 1/2 an hour and then you get ur answer


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Find the equation in stope intercept form of the line that passes through the points (-2,4) and (6,2),
Juli2301 [7.4K]

Answer:

y = -x/4 + 7/2

Step-by-step explanation:

Find the slope

( -2 , 4) ( 6 , 2)

m = (y2 - y1)/(x2 - x1)

x1 = -2

y1 = 4

x2 = 6

y2 = 2

m = ( 2 - 4)/( 6 -(-2)

m = ( 2 -4)/(6 +2)

= -2/8

= -1/4

Using point slope form equation

y - y1 = m( x - x1)

Using the second point

( 6 , 2)

x1= 6

y1=2

m = -1/4

y - 2 = -1/4(x - 6)

y - 2 = -(x - 6)/4

Open the bracket with -

y - 2 = (-x + 6)/4

y = ( -x + 6)/4 + 2

LCM = 4

y =( -x + 6 + 8)/4

y = (-x + 14)/4

Rearrange using slope intercept form

y = mx + c.

y = -x/4 + 14/4

We can break 14/4 by dividing by 2

y = -x/4 + 7/2

8 0
3 years ago
the family drinks 1 3/4 gallons of milk every 4 1/2 days. What is the unit rate of milk they drink per day?
Strike441 [17]
The rate is .38888888888888889 gallons a day because that is the result of 1.75/4.5. You can also round the answer to 0.4, which equals 2/5. Hope this helps!
3 0
3 years ago
Jameson is seeking a loan with a simple interest rate of 3% per year. If he wants to borrow $8000, then how much will he be char
Thepotemich [5.8K]

Answer:

$960

Step-by-step explanation:

You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.

I=Prt

<em>I = interest amount </em>

<em>P = principal amount </em>

<em>r = interest rate (decimal form) </em>

<em>t = time </em>

The first step is to change 3% into a decimal:

3% -> \frac{3}{100} -> 0.03

Now, lets plug in the values into the equation:

I=8,000(0.03)(4)

I=960

Jameson will be charged $960 of interest after 4 years.

8 0
3 years ago
PLEASE ANSWER THISSS<br> AAAAAAAAAAAAAAA
Butoxors [25]

Answer:

147

Step-by-step explanation:

E = greatest common factor of 22 and 30 = 2

F = least common multiple of 3 and 8 = 24

G = 3 * (7 + 10) = G + 30 = 81

3 * 7 + 3 * 10 = G + 30

21 + 30 = G + 30

51 = G + 30

G = 81

H = 5 * (3 + H) = 15 + 45 = 40

5 * 3 + 5 * H = 15 + 45

15 + 5 * H = 60

20 * H = 60

H = 60 - 20

H = 40

E = 2 + F = 24 + G = 81 + H = 40

2 + 24 + 81 + 40 = 147

This was fun lol

4 0
3 years ago
Can some help me with this please.
MrMuchimi
Zane was -25 meters from the edge of the volcano when he started:)
3 0
3 years ago
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