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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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Which statements about the Commutative Property of Multiplication are TRUE? Select all that apply. A. The property applies to al
musickatia [10]

Answer:

b) The property states that ab is equivalent to b a

Step-by-step explanation:

<em>Commutative property</em>:-

the commutative property , when we multiply two integers , the answer we get after multiplication will remain the same, even if the position of the integers are interchanged.

Let 'a' and 'b' be the two integers , then  ab = b a

Example:-

   .    1 X 2 = 2 X 1 = 2

  .    12 X 5 = 5 X 12 = 60

3 0
3 years ago
Jeremiah and Tristan work at a dry cleaners ironing shirts. Jeremiah can iron 35 shirts per hour, and Tristan can iron 20 shirts
laiz [17]

The number of hours Jeremiah ironed = 10 hours

The number of hours Tristan ironed = 7 hours

<u>Step-by-step explanation</u>:

  • Jeremiah can iron = 35 shirts per hour
  • Tristan can iron = 20 shirts per hour
  • Total work done by both = 490 shirts

Let 'x' be the number of hours Jeremiah ironed.

Let 'y' be the number of hours Tristan ironed.

x+y = 17   ------(1)

35x + 20y = 490  -------(2)

Multiply (1) by 20 and subtract (2) from (1),

 20x + 20y = 340

-(<u>35x + 20y = 490</u>)

 <u>-15x         = -150 </u>

x = 150/15

x = 10

Substitute x=10 in (1)

10+y = 17

y = 7

5 0
3 years ago
A utility company might offer electrical rates based on time-of-day consumption to decrease the peak demand in a day. Enough cus
rusak2 [61]

Answer:

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

Step-by-step explanation:

The customers are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

50 major customers, 15 would accept the plan.

This means that N = 50, k = 15

The utility selects 10 major customers randomly (without replacement) to contact and promote the plan.

This means that n = 10

a. What is the probability that exactly two of the selected major customers accept the plan

This is P(X = 2).

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,50,10,15) = \frac{C_{15,2}*C_{35,8}}{C_{50,10}} = 0.2406

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

4 0
3 years ago
The sum of the lengths of any two sides of a triangle must be greater than the third side. if a triangle has one side that is 13
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3 years ago
Chance has hired a construction crew to renovate his kitchen. They charge $3.92 per square foot for materials and $124.26 per da
bearhunter [10]
The answer is B. 17 days
First you subtract 3,233.54 from 269(3.92)
Then you’ll get 2,179.06
Then you simply divide 2,179.06/124.26
Which equals 17.5362....
I really hope this helps :)
6 0
3 years ago
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