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Semenov [28]
3 years ago
13

Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. a

nd traveled at an average rate of 496 mph. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 mph. How many hours did it take the first plane to travel to the destination?
Let x represent the number of hours that the first plane traveled.
Enter an equation that can be used to solve this problem in the first box.
Solve for x and enter the number of hours in the second box.
Mathematics
1 answer:
liberstina [14]3 years ago
7 0
First plane: 496x
<span>Second plane:  558( x - 1/2) </span>

<span>Equation: 496x = 558( x - 1/2) </span>

<span>Solving  x = 9/2 ,  or  x = 4.5 hours.

Hope this helps.</span>
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Greta wants to make 5 pounds of a nut mix using peanuts and cashews. Her budget requires the mixture to cost her $6 per pound. P
Vinil7 [7]

Answer:

3 pounds of peanuts and 2 pounds of cashews

Step-by-step explanation:

Let x be the pounds of peanuts and y be the pounds of cashews

Greta wants to make 5 pounds of a nut mix using peanuts and cashews.

So, x+y=5 ----- A

Cost of 1 pound of peanuts = $4

Cost of x pounds of peanuts = 4x

Cost of 1 pound of cashews = $9

Cost of y pounds of cashews = 9y

Her budget requires the mixture to cost her $6 per pound

So, cost of mixture of x pounds of peanuts and y pounds of cashews is 6(x+y)

So, 4x+9y=6(x+y) --- B

Plot A and B

x+y=5 ---Blue

4x+9x=6(x+y) ---Green

Refer the attached figure

Intersection point = (x,y)=(3,2)

Hence she should use 3 pounds of peanuts and 2 pounds of cashews

6 0
3 years ago
: Sam is 12 years older than John. For the last four years, Sam and John have been friends. Five years ago, Sam was 5 times as o
Firlakuza [10]

Answer:

The present age of Sam is 20 years .

Step-by-step explanation:

Given as :

Let The age of John =  J years

Let The age of Sam = S years

∵ Sam is 12 years older than John

so,  The age of Sam = 12 + The age of John

i.e S = 12 + J            .....1

<u>Again</u>

Before 5 years ago

The age of Sam = 5 times age of John

So, (S - 5) = 5 × (J - 5)

Or, S - 5 = 5 J - 25

Or, 5 J - S = 25 - 5

Or, 5 J - S = 20                  .........2

Solving eq 1 and eq 2

[5 J - (12 + J)] = 20

Or, 5 J - 12 - J = 20

Or, 4 J = 20 + 12

Or, 4 J = 32

∴ J = \frac{32}{4}

i.e J = 8 years

So, The age of John = J = 8 years

Put The value of J into eq 1

∵ S = 12 + J

So, S = 12 + 8

i.e S = 20 years

So, The present age of Sam = S = 20 years .

Hence, The present age of Sam is 20 years . Answer

7 0
3 years ago
Read 2 more answers
Not sure how to find the solutions
OlgaM077 [116]
The solutions to the equation are
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2 - √10
2 + √10
8.2
4 0
3 years ago
Which of the following illustrate the commutative property? select all that apply
Genrish500 [490]

For this case we have that the commutative property establishes that the order of the factors does not alter the product. Example:

5 * 6 = 6 * 5\\4 + 3 = 3 + 4

Then we have the following options illustrate the property:

3 + 4 + 6 = 3 + 6 + 4 = 13\\9 * 2 * 7 = 7 * 9 * 2 = 126\\2 + 3 + 1 = 3 + 1 + 2 = 6\\5 + 2-4 = 5-4 + 2 = 3

It is necessary to emphasize that option b illustrates the associative property and in option c equality is not fulfilled

Answer:

Option A, D, E, F

4 0
3 years ago
Drew needs to air up his teams 8 soccer balls. Each ball has a diameter of 70cm. In terms of pi, what is the total volume of air
Liula [17]

Answer:

1.44m^3

Step-by-step explanation:

Given data

Number of balls= 8

Diameter of ball = 70cm = 0.7m

Radius= 35cm= 0.35m

We know that a ball has a spherical shape

The volume of a sphere is

V= 4/3πr^3

substitute

V= 4/3*3.142*0.35^3

V= 0.18m^3

Hence if 1 ball has a volume of 0.18m^3

Then 8 balls will have a volume of

=0.18*8

=1.44m^3

7 0
3 years ago
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