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4 years ago

3.which lines are parallel 4. what wouldbyou use to prove these lines parallel

Mathematics

1 answer:

uysha [10]4 years ago

6 0

3)the line G & H are parallel
4) Parallel line theorem is what I do believe it's called (do you have choices for this one?)

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If you roll a number cube, what is the probability that you will roll an even number?

Yanka [14]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

Probability is calculated as

P = $\frac{favourable outcome}{number of outcomes}$

A favourable outcome is an even number , that is 2, 4, 6 , a total of 3

number of outcomes = 6 , that is 1, 2, 3, 4, 5, 6

Then

P( even number) = $\frac{3}{6}$ = $\frac{1}{2}$

8 0

2 years ago

Can someone help me with this question immediately with an explanation??!! Plsss

Alexxandr [17]

Answer:

the number of senors is 150

Step-by-step explanation:

call the number of seniors is a

we have number of juniors is 4/3a

number of sophomores is 3/2*4/3*a=2a

number of freshmen is also =2a

sum of all studens in that school = a+4/3a+4a=950

a=150

7 0

3 years ago

Jeffrey and Frank walk at different speeds.Frank’s walking speed can be represented by the equation y=85x, where is the time in

kolezko [41]

Answer:

Option (C)

Option (A)

Step-by-step explanation:

Part A.

Frank's walking speed can be represented by the equation.

Equation representing the speed is,

y = 85x

$\frac{y}{x}=85$

Therefore, walking speed of Frank = 85 meters per minute.

Option (C) will be the answer.

Part B.

Distance walked over the time by Jeffrey is given by the graph attached.

Equation for the speed will be,

y = $(\frac{400}{5})x$

y = 80x

Therefore, walking speed of Jeffrey = 80 meters per minute

Difference in the speed of Frank and Jeffrey = 85 - 80 = 5 meters per minute.

Jeffery walks 5 meters per minute slower than Frank.

Option (C) will be the answer.

Part (C)

Distance traveled by Frank in 16 minutes,

y = 85(16) = 1360 meters

Time taken to travel the same distance by Jeffrey will be,

1360 = 80x

x = $\frac{1360}{80}=17$ meters per minute

Option (A) will be the answer.

8 0

3 years ago

Jake invested $7,500 in a 5-year CD that

erik [133]

D. $8,962.50

P stands for principal

R stands for rate

T stands for time

A=$7,500(1+ (0.039×5))=$8,962.5

A=$8,962.50

So Jake will have $8,962.50 of interest after 5 years.

8 0

3 years ago

A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate

yulyashka [42]

Answer:

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

$\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}$

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

$C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)$

$C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)$

At C'(x) = 0

$\dfrac{12500}{x^2} = 20$

$\dfrac{12500}{20} = x^2$

$x^2= 625$

$x = \sqrt{625}$

x = 25

$C'' (x) = -12500 \times \dfrac{-2}{x^3} +0$

$C'' (x) = \dfrac{25000}{x^3}$

where; x = 25

$C'' (x) = \dfrac{25000}{25^3}$

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0

3 years ago