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Sloan [31]
3 years ago
12

Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 95 km per hour faster than

the other. If the two planes are 3358 kilometers apart 2 after hours, what is the rate of each plane?
Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

Answer:

887 and 792 km per hour

Step-by-step explanation:

Lets call the first plane A and the second B

we know that: a=b+95

We can say that 3358=2b+(2b+190)<=A

When solved, we get 3168=4b

b=792 km per hour.

Go back to step two. A=b+95, so A=792+95=887 km per hour

The two planes rates are 887 km per hour and 792 km per hour.

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The equation shown below involves a perfect square trinomial. 4x2 + 20x + 25 = 7 Which of the following is a step in solving thi
fomenos
4 x^2 + 20 x + 25 = 7
Divide both sides by 4:
x^2 + 5 x + 25/4 = 7/4
Write the left-hand side as a square:
(x + 5/2)^2 = 7/4
Take the square root of both sides:
x + 5/2 = sqrt(7)/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
x = sqrt(7)/2 - 5/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
Answer:  x = sqrt(7)/2 - 5/2 or x = -5/2 - sqrt(7)/2
3 0
3 years ago
At the grocery store, apples are one price and chocolate bars are another. mary buys three apples and one chocolate bar for $2.7
mafiozo [28]

Answer:

Step-by-step explanation:

Step 1 is to collect the information in a table format.  The attached Table1 summarizes what we know in columns 1 - 3. Columns 4 - 6 show the data we're about to calculate, so ignore them for the moment.

.I use A for the price of one apple and C for the price of 1 chocolate bar.  We know how many of each are purchased by both Mary and Bill, and the total each paid.  

The last column (6) shows the price for each, which comes from the derivation presented below.

We can set the information in columns 1 - 3 into equations:

Mary:  3A+1C = 2.70   [This states that Mary bought 3 apples at a price of A for each apple, and 1 chocolate bar at a price of C per bar.]

Bill:      1A + 4C = 6.40  [In the same fashion, this summarizes how Bill parted with his $6.40]

---

Now let's rearrange either equation to solve for C.  I'll use Mary's equation:

3A+1C = 2.70

1C = 2.70 - 3A

This tells us that the price of 1 chocolate bar is $2.70 minus the cost of 3 apples.  Interesting, but we need the price of a chocolate bar to determine an exact amount.

----

Now take Bill's equation and substitute the value we just derived for the price of a chocolate bar <u>C</u> = (2.70-3A).

1A + 4<u>C</u> = 6.40

1A + 4(2.70 - 3A) = 6.40

1A + 10.80 - 12A = 6.40

-11A = -4.40

A = 0.40    This is the price for 1 apple.  This is the value in the last column (6) of attached Table1.

---

Now we can use the value of $0.40 in either equation to find the price of a chocolate bar.  I'll use the rearranged equation we developed for Mary:

1C = 2.70 - 3A

1C = 2.70 - 3(0.40)   [A = 0.40 from the above work]

1C = 2.70 - 1.20

1C = 1.50

The price of 1 chocolate bar is $1.50.  Pricey, and bad for health.  But very tasty.

Columns 4 and 5 are the total costs for the apples and bars bought by each, and their sums add up to the amounts we were given at the start of the problem.  So our prices must be correct.

3 0
2 years ago
James decides to walk from school to the park to play ball. The park is only 0.5 mile from the school. He leaves school at 3:15
miskamm [114]

Answer: C

Step-by-step explanation: We see that it took James 10 minutes to go 0.5 miles, so to get how many miles an hour James is traveling, we need to get the miles to 1. To do this, multiply by 2, and this will give you that it took James 20 minutes to go 1 mile. This is option C.

7 0
3 years ago
What is the value of the expression?<br> 1/3-5/6<br> Enter your answer in simplest form.
algol [13]

Answer:

(1/3 - 5/6) / 5/6

You want to make 1/3 and 5/6 have the same denominator so you multiply both the numerator and denominator of 1/3 by 2 to get 2/6. You plug that back into your equation to get: (2/6 - 5/6) / 5/6. 2/6 - 5/6 is -3/6. -3/6 divided by 5/6 is -3/6 multiplied by 6/5 which is -3/5. 

5 0
3 years ago
Read 2 more answers
Subtracting integers -4 - (-5)
malfutka [58]

Answer:

the answer is 1

Step-by-step explanation:

the answer is 1

7 0
3 years ago
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