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2 years ago

If you can, answer at least 2 question I put 10 points on it

Mathematics

1 answer:

igomit [66]2 years ago

8 0

Answer:

a) one solution(x = 9)

b) no solution

c) infinite solutions

Step-by-step explanation:

a) To solve this equation, we can add 4 on both sides in order to isolate x:

x - 4 =5

+ 4 + 4

x = 9

Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.

b) We start by subtracting 2x from both sides to combine the variable terms:

2x - 6 = 2x + 5

-2x -2x

-6 = 5

The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.

c) We can start by subtracting 3x from both sides to combine the terms with x:

3x + 12 = 3x + 12

-3x -3x

12 = 12

The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.

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Darryl and Kayla sold pies for a school fundraiser. Darryl made $38 from 2 chocolate pies and 4 apple pies. Kayla made $138 from

REY [17]

Answer:

Step-by-step explanation:

Let chocolate pie be x and apple pie be y

Darryl made $38 from 2 chocolate pies and 4 apple pies

That’s

2x + 4y = $38

Kayla made $138 from 14 chocolate pies and 12 apple pies

That’s

14x + 12y = $138

We now have two equations

Equation 1 : 2x + 4y = 38

Equation 2: 14x + 12y = 138

Multiply equation one by 12 and equation 2 by 4 to eliminate apple pie y

We have

12 x 2x + 12 x 4y = 12 x 38

4 x 14x + 4 x 12y = 4 x 138

24x + 48y = 456

56x + 48y = 552

Subtract equation equation two from one

-32x = -96

Divide both sides by -32

x = -96/-32

x = 3

A chocolate pie cost $3

4 0

2 years ago

Each marble bag sold by Chris's marbles company contains 7 red marbles for every 5 orange marbles , if a bag had 30 orange marbl

Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

To receive this answer:

Divide the 30 orange marbles with the 5 orange marbles.

--This will give you 6

2. Multiply 6 with 7.

--This will then give you 42.

Therefore, (with being checked...) 42 is the correct answer.

5 0

2 years ago

Read 2 more answers

The supply curve for steel is 90x−y=−50. The demand curve is 10x+y=200. x is quantity in thousands of metric tons y is price in

ivolga24 [154]

Answer:

The intersection point of the two curves is $(x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)$ .

Step-by-step explanation:

From statement we get the following equations:

Supply curve

$90\cdot x - y = -50$ (1)

Demand curve

$10\cdot x + y = 200$ (2)

Where:

$x$ - Quantity, measured in thousands of metric tons.

$y$ - Price, measured in US dollars per metric tons.

If we add both equations, then we find that quantity is:

$(90\cdot x -y )+(10\cdot x +y) = -50+200$

$100\cdot x = 150$

$x = \frac{3}{2}\,kton.m$

Then, we finally find the price by substituting on (2):

$y = 200-10\cdot \left(\frac{3}{2} \right)$

$y = 200-15$

$y = 185\,USD$

The intersection point of the two curves is $(x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)$ .

5 0

3 years ago

An undefined term cannot be used in a theorem. True OR False.

patriot [66]

The correct answer is:

False.

Explanation:

An undefined term can be used in a proof.

There are three fundamental undefined terms in geometry: point, line and plane. All three of these can be used in a proof; therefore the statement that an undefined term cannot be used in a proof is false.

3 0

3 years ago

Read 2 more answers

A buyer of a new sedan can custom order the car by choosing from 5

Alenkinab [10]

Using the Fundamental Counting Theorem, it is found that the buyer has 180 choices.

Fundamental counting theorem:

States that if there are n things, each with $n_1, n_2, \cdots, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is: