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Hoochie [10]
3 years ago
5

You purchase 5 pounds of apples and 2 pounds of oranges for $9.Your friend purchases 5 pounds of apples and 6 pounds of oranges

for $17. Write and solve a system of linear equations that represents this situation
Mathematics
1 answer:
babymother [125]3 years ago
8 0

Answer:

x = 1 and y = 2

Step-by-step explanation:

Let apples are represented by x

and let oranges are represented by y

You purchase 5 pounds of apples and 2 pounds of oranges for $9. This line in equation format can be written as:

5x + 2y = 9

Your friend purchases 5 pounds of apples and 6 pounds of oranges for $17.

This line in equation format can be written as:

5x + 6y = 17

Now we have two equations:

5x + 2y = 9 -> eq (i)

5x + 6y = 17 -> eq(ii)

We can solve these equations to find the value of x and y.

Subtracting eq(i) from eq(ii)

5x + 6y = 17

5x + 2y = 9

-     -         -

_________

0+4y= 8

=> 4y = 8

y= 8/4

y = 2

Now, putting value of y in eq (i)

5x + 2y = 9

5x +2(2) = 9

5x +4 = 9

5x = 9-4

5x = 5

x = 1

so, x = 1 and y = 2

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An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time
d1i1m1o1n [39]

Answer:

a)s=\sqrt{1+d^2}

b)d(t)=500t

c)s(t) =\sqrt{1+250000t^2}

Step-by-step explanation:

d = Horizontal distance

s = the distance between the plane and the radar station

The horizontal distance (d), the one mile altitude, and s form a right triangle.

So, use Pythagoras theorem

Hypotenuse^2=Perpendicular^2+Base^2

s^2=1^2+d^2

a) s=\sqrt{1+d^2}

(b) Express d as a function of the time t (in hours) that the plane has flown.

distance = speed \times time

d(t)=500t

(c) Use composition to express s as a function of t.

s(t) =\sqrt{1+d^2}

using b

s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}

6 0
3 years ago
If Janet scored an 85% on her test she answered 34 questions correctly how many questions were on the test
Wittaler [7]
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7 0
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1. What is the value of x? Show all of your work.
Colt1911 [192]
You can use the pathagorean theorm.
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a^2 + 36 = 117
a^2 = 117 - 36
a^2 = 81
\sqrt{a^2} = \sqrt{81}
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Step-by-step explanation:

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Select the student who reads the fastest (greatest number of words per minute)
kirill115 [55]
Im pretty sure it would be Ariel.
Tamar reads 600 words in 5 minutes, so he is already out of the question since Levi reads 700 words in 5 minutes. (Levi reads 140 words in 1 minute, so add 140+560=700 because they read 560 in 4 minutes)
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