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3 years ago

6x+18y=18 find y and z

Mathematics

1 answer:

Masja [62]3 years ago

3 0

6x + 18y = 18. Let us take x = 0

6(0) + 18y = 18

0 + 18y = 18

18y = 18

y = 18/18

y = 1

(0, 1) [x = 0, y = 1]

6x + 18y = 18. Let us take y = 0

6x + 18(0) = 18

6x + 0 = 18

6x = 18

x = 18/6

x = 3

(3, 0) [x = 3, y =0]

Infinite solutions can be found for x and y

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Adam has 3 coins in his pocket and they are all different from each other. Ben has 3 coins in his pocket and they are all the sa

Elenna [48]

Answer:

The possible coins are:

P = penny = $0.01

N = nickel = $0.05

D = dime = $0.10

Q = quarter = $0.25

H = half dollar = $0.50

We know that Adam has 3 coins in his pocket, and all of them are different, then the money that Adam has can be represented with (A + B + C)

Behn has 3 coins, and all of them are the same, then if his coin has a value X, he has a total of 3*X

We know that Adam has half as much money as Ben, this can be written as:

(A + B + C) = 3*X/2

The easier way to solve this, is to play with different values of X, and see if we can find the values of A, B and C.

For example, if X = $0.10

then:

(A + B + C) = $0.10*(3/2) = $0.15

We can find 3 different value of coins for this equation? No, we cant, so X = $0.10 is also discarded.

if x = $0.50 then:

(A + B + C) = (3/2)*$0.50 = $0.75

Here we could have:

A = $0.50

B = $0.25

then: A + B = $0.75

But we still have the coin C.

If we take X = $0.25 then:

(A + B + C) = (3/2)*$0.25 = $0.375

We could round the right part to $0.40

then the coins in the left part would be:

A = $0.25

B = $0.10

C = $0.05

A + B + C = $0.25 + $0.10 + $0.05 = $0.40

This is a strech, but is the only thing we can make with the given problem.

5 0

3 years ago

Find the perimeter of the square. (hint : make one side = to the other side to find y. Remember, you are finding the perimeter)

Anestetic [448]

Step-by-step explanation:

$5y = 4y + 3 \\ y = 3 \\ p = 4 \times a = 4 \times 3 = 12$

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2 years ago

Find x. A. 2 B. 1 C. 1.6 D. 0.9

Brilliant_brown [7]

8x - 1 = 3x + 9 (☆ Corresponding Angle)

or, 5x = 10

or, x = 10/5

★ x = 2

This is a Right answer....

I hope you understand....

Mark me as brainliest....

Thanks...

5 0

3 years ago

Read 2 more answers

How many times greater is 7 x 10^6 than 4.5 x 10^-1

kipiarov [429]

Let us assume that : 7 × 10⁶ is P times Greater than 4.5 × 10⁻¹

It means when we Multiply P with 4.5 × 10⁻¹, We should get 7 × 10⁶

⇒ (P × 4.5 × 10⁻¹) = 7 × 10⁶

$\mathsf{\implies P = (\dfrac{7 \times 10^6}{4.5 \times 10^-^1})}$

$\mathsf{\implies P = 1.56 \times 10^7}$

⇒ 7 × 10⁶ is 1.56 × 10⁷ times Greater than 4.5 × 10⁻¹

4 0

3 years ago

2. A lunch stand makes s.75 profit on each chef's salad and $1.20 profit on each Caesar salad. On a typical weekday, it sells be

kow [346]

Let's let

x = the number of chef salads, x>=0

y = the number of Caesar salads, y>=0

The constrains are:

40 <= x <= 60

35 <= y <= 50

x + y <= 100

The objective function here is F(x, y) = 0.75x + 1.20y

The corner points are (40, 35), (60, 35), (60, 40), (50, 50) and (40, 50).

F (40, 35) = 0.75*40 + 1.20*35 = $72

F (60, 35) = 0.70*60 + 1.20*35 = $84

F (60, 40) = 0.75*60 + 1.20*40 = $93

F (50, 50) = 0.75*50 + 1.20*50 = $97.50

F (40, 50) = 0.75*40 + 1.20*50 = $90

Thus, we conclude to maximize the profit 50 Chef and 50 Caesar salads should be prepared.

8 0

3 years ago