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never [62]
3 years ago
6

Two planes just took off from Boston, MA. The first plane is traveling 2.5 times as fast as the second plane. After traveling in

the same direction for 5 hours, they are 735 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)
Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

Plane 1:  rate = 245 mph

Plane 2:  rate = 98 mph

Step-by-step explanation:

Plane 2:  Let r = rate

                    d = 5r

Plane 1:    2.5r = rate

                    d = 5(2.5r)

5(2.5r) - 5r = 735

12.5r - 5r = 735

7.5r = 735

r = 98

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4. A loan made on March 12 is due September 10 of the following year. Find the exact time for the loan in a non-leap year and a
saul85 [17]

Answer:

182 days

Step-by-step explanation:

Given:

Date on which loan is made = March 12

Due date of the loan = September 10

Now,

The months in between March and September and the number of days in the particular months are

Month                          Number of days

April                               30

May                                31

June                               30

July                                 31

August                            31

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

Total number of days =  153

also,

Number of days left in March after 12 are (31 - 12 ) = 19 days

and,

Number of days in September before the due date = 10 days

Hence, the total time for loan = 19 + 153 + 10 = 182 days

since the included months does not have the month of February. Therefore,

the time for both leap year and non-leap year will remain same.

7 0
4 years ago
3z-4=6z-17 how do solve
Maru [420]
3z-4=6z-17
-3z-4=-17 (subtracted the 6z from both sides)
-3z=-13 (added the 4 to both sides)
z=\frac{-13}{-3z} (divided both sides by -3z)
z=\frac{13}{3}
5 0
3 years ago
Read 2 more answers
Clark has a box of nickels and dimes that totals $1.90. there are a total of 27 coins. how many nickels and dimes does he have?
Andrej [43]
$0.05(n) + $0.10(d) = $1.90
n + d = 27
n + d - d =27 - d
n = 27 - d

$0.05(27-d) + $0.10(d) = $1.90
1.35 - 0.05d + 0.10d = $1.90
1.35 +0.05d = $1.90
1.35 - 1.35 +0.05d = $1.90 -1.35
0.05d = 0.55
0.05d/0.05 = 0.55/0.05
d = 11

n = 27 - 11
n = 16

$0.05(16) + $0.10(11) = $1.90
$0.80 + $1.10 = $1.90
$1.90 = $1.90
4 0
3 years ago
3x^2 + 6 - 2x + 5x - 4x^2 + 9
Over [174]
3x * 3x = 9x

9x + 6 - 2x + 5x - 4x^2 + 9

9x + 6 - 7x - 4x * 4x + 9

9x + 6 - 7x - 16x + 9

9x + -7x = 2x + 6 - 16x + 9

2x + 6 - 16x + 9

2x + (-3) - 16x

-14x + (-3) is the expression?
4 0
4 years ago
I NEED HELPPPP<br> 2( 2.5 - | -6|) need the answer ASAPPPPP
Sloan [31]

The equivalent value of the expression is -7

<h3>Modulus of a function</h3>

The modulus of an expression of value is equal to the positive of such function or value.

Given the expression

2(2.5 - |-6|)

Since the value of -6 is a modulus, the expression will become;

2(2.5 - |-6|) = 2(2.5) - 2(6)

2(2.5 - |-6|) = 5 - 12

2(2.5 - |-6|) = -7

Hence the equivalent value of the expression is -7

Learn more on equation here: brainly.com/question/2972832

#SPJ1

4 0
2 years ago
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