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Reil [10]
2 years ago
6

Uncle Ian spent $59 at a book store. He bought science fiction and mystery novels. The science fiction novels cost $7 apiece and

the mystery novels cost $9 apiece. If uncle Ian bought 7 novels, how many of each type did he buy?
Mathematics
1 answer:
zzz [600]2 years ago
5 0

Answer:

2 science fiction and 5 mystery

Step-by-step explanation:

First, we will set up a system of equations.

x (science fiction) y (mystery)

x + y = 7 This is the total books bought.

7x + 9y = 59 The amount of each set to the total cost.

Now we solve.

(-7)x + y = 7 equals

-7x - 7y = -49

added to

7x + 9y = 59

this equals

2y = 10

y = 5

Now we know one. We can plug it in to find the other value.

x + 5 = 7

x = 2

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Solve the system by substitution. x – 3y = 4 2x – 6y = 8 A. no solution B. x = 4, y = 0 C. x = 0, y = 0 D. infinite solutions
ruslelena [56]

Answer:

The correct answer is option D.

Step-by-step explanation:

if the pair of equation has one or more than one solution then it is said to be consistent.

  • Only one solution , then independent system.
  • More than one solution , then dependent system.

if the pair of equation has no solution then it is said to be inconsistent.

Given : x - 3y = 4 ...[1]

2x - 6y = 8 ...[2]

Solution :

Solving equations with the help of Substituting methods:

x - 3y = 4

x = 4 +3y

Putting value of x from [1] in [2]:

2(4+3y)-6y=8

8+6y-6y=8

6y=6y

0 = 0

Given , system of equation will have infinite solution. Hence consistent and dependent.

The given system of equations will have infinite solutions.

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3 years ago
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- 5x + 9y = - 32 <br> -5x - 3y = 4
Bad White [126]

Answer: look at the picture

Step-by-step explanation: Hope this help :)

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3 years ago
Find the unit price: Andrew bought 2 shirts for $31.00
nadya68 [22]

Answer:

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Step-by-step explanation:

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1
Ket [755]

How long will it take them to clean the bedroom? 10 minutes

How to calculate the time of the work done together?

Given:

Vanessa  (A)= 30 minutes

Steven (B) = 15 minutes

The total time taken if both work together is given by,

             A+B=\frac{AB}{A+B} \\\\=\frac{30*15}{30+15}\\\\=\frac{450}{45}\\\\= 10

So, it would take 10 minutes to clean the bedroom, if they work together

What is the time - work concept ?

  • Time and work is concerned with the amount of time it takes a person or a group of people to complete a task and the effectiveness of the work performed by each of them.
  • The rate of work and the amount of time required are inversely proportional.
  • Time taken = 1 / The rate of work.

To learn  more about time and work , refer:

brainly.com/question/13086625

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