MATHEMATICS HIGH SCHOOL

Mara's family is driving to her grandmothers' house. The family travels 239.4 miles be-tween the hours of 9:10 a.m. to 1:40 p.m. Write an equation that Mara can use to deter-
mine their average rate of travel, rounded to the nearest mile per hour.
Use the given numbers and operations to complete an equation.

Answers

Answer 1

Answer:

Answer:

Give brainliest please! The answer is 53.2 mph

Step-by-step explanation:

Mara's family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m.

1:40 p.m. is 13:40.

Thus, they traveled for

13 hours 40 minutes - 9 hours 10 minutes = 4 hours 30 minutes

that is hours.

Use formula:

where

D = distance

r = rate

t = time.

In your case,

D = 239.4 miles

t = 4.5 hours

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Using completing the square to solve for x in the equation (x-12)(x+4)=9

Answers

Answer:

x = 4 + √73

Step-by-step explanation:

The given equation is ( x-12 ) ( x + 4 ) = 9

We will solve the equation first.

( x - 12 ) ( x + 4 ) = 9

x( x+4 ) - 12 ( x + 4 ) = 9 [ Distributive property ]

x² + 4x - 12x - 48 = 9

x² - 8x - 48 = 9

x² - 8x - 48 - 9 = 0

x² - 8x - 57 = 0

[ x² - 2 (4x) + 16 ] - 57 - 16 = 0

(x - 4)² - 73 = 0

(x - 4)² = 73

( x-4 )² = √73

x = 4 + √73

x = 4 + √73 is the answer.

Hello!

You can multiply (x-12) and (x+4)

x * x = x^2
x * 4 = 4x
-12 * x = -12x
-12 * 4 = -48

Now we have

x^2 - 8x - 48 = 9

Subtract 9 from both sides

x^2 - 8x -57 = 0

Use the quadratic formula

This give use the answer of

x = 4 + $√(72)$

Hope this helps!

How do you simplify $(8)/(9^(0) )$

Answers

Answer:

The answer is 8

Step-by-step explanation:

What is the answer to 4(x + -7) +12=20

Answers

    4(x - 7) + 12 = 20
4(x) - 4(7) + 12 = 20
   4x - 28 + 12 = 20
   4x - 16 = 20
   + 16 + 16
   4x = 36
      4 4
   x = 9

X=9You ise the distribution property and get 4x-28+12=20. Combine the like terms amd you get 4x -16=20. Add 166 to both sides and you get 4x =36. Divide by four and you get x=9

Divide 10 by 4and then subtract 6.2

Answers

$10 : 4 - 6,2$ sharing takes precedence

$(10)/(1) : (4)/(1) - 6 (2)/(10) = \n \n (10)/(1) * (1)/(4) - 6 (2)/(10) = \n \n (5)/(1) * (1)/(2) - 6 (2)/(10) = \n \n (5)/(2) -6 (2)/(10) = \n \n 2 (1)/(2) - 6 (2)/(10) = \n \n 2 (5)/(10) - 6 (2)/(10) = \n \n 2 (5)/(10) - 2 (5)/(10) - 3 (7)/(10) = -3 (7)/(10)$

A student randomly draws a card from a standard deck and checks to see if it is his favorite suit. He then returns the card to the deck, shuffles, and repeats the experiment. He performs the experiments 30 times. Can the probability of drawing his favorite suit be found by using the binomial probability formula? Why or why not?Yes. The events are dependent; however, the 5% guideline can be applied to this situation.
No. The trials are fixed, but the probability of success changes for every trial.
No. The probability of success remains the same for every trial, but the trials are not fixed.
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Answers

Answer:

Yes. The outcomes can be classified into two categories, the trials are fixed, and the events are independent.

Step-by-step explanation:

Hope this helps!!

Katie spent $465 on DVDs and CDs. The CDs cost $15 each, and the DVDs cost $19 each. A total of 27 CDs and DVDs were purchased. How many of each did she buy?(solve by substitution or elimination methods only)

Answers

Answer:

12 CDs and 15 DVDs

Step-by-step explanation:

Let

x----> the number of CDs

y---> the number of DVDs

we know that

x+y=27 -----> x=27-y ----> equation A

15x+19y=465 ----> equation B

Solve by substitution

substitute equation A in equation B and solve for y

15(27-y)+19y=465

405-15y+19y=465

4y=465-405

4y=60

y=15 DVDs

Find the value of x

x=27-y

x=27-15=12 CDs

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