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Alina [70]
3 years ago
7

24 + 6 = 6(4 + 2)

Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer:

6 times 2 is 12, 6 times 4 is 24, 30 doesn't equal 36

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some friends went to a local movie theater and bought four large buckets of popcorn and six boxes of candy.The total for the sna
WARRIOR [948]

The total of 2 buckets of popcorn and 3 boxes of candy would be $23.25

To answer this question you need to form a set of simultaneous equations and solve them. We can do this by saying that a bucket of popcorn = P, and a box of candy = C. Then we can say:

4P + 6C = 46.50

P + C = 9.75

There are then two possible ways to solve; you can either say that C = 9.75 - P using the second equation and then substitute it into the first, or you can multiply the second equation by either 4 or 6 to cancel out P or C.

I’m going to multiply the second equation by 4:

4P + 4C = 39

Now we can subtract this for, the first equation:

4P + 6C = 46.50

4P + 4C = 39

2C = 7.50

C = 3.75

Now we can substitute this value of C into one of the equations to find P:

P + C = 9.75

P + 3.75 = 9.75

P = 6

And now to answer the question, you just multiply P by 2 and C by 3 and add them together, which gives you $23.25

I hope this helps! Let me know if you have any questions :)

6 0
3 years ago
Bethany needs to solve the equation -x^2 + 4x = x - 4.
notsponge [240]

Answer:

The system of equations she could write is:

   y = -x² + 4x

   y = x - 4

The solutions are (-1 , -5) and (4 , 0)

Step-by-step explanation:

-x² + 4x = x - 4

That means two equations one quadratic which is in the left hand side and the other is linear which is in the right hand side.

They represented graphically by a parabola and a line, the solution of it will be the points of intersection of the two graphs

To find the system of equations take each side and equate it by y

∵ y = -x² + 4x

∵ y = x - 4

∴ The system of equations is:

   y = -x² + 4x

   y = x - 4

Let us solve this system using -x² + 4x = x - 4

∵ -x² + 4x = x - 4

- Subtract x from both sides

∴ -x² + 3x = -4

- Add 4 to both sides

∴ -x² + 3x + 4 = 0

- Multiply both sides by -1

∴ x² - 3x - 4 = 0

Let us use the factorization to solve it

∵ x² = (x)(x)

∵ -4 = (1)(-4)

∵ (x)(1) = x

∵ (x)(-4) = -4x

∵ x + -4x = - 3x ⇒ middle term

∴ The factors of x² - 3x - 4 are (x + 1)(x - 4)

- Substitute x² - 3x - 4 by its factors

∴ (x + 1)(x - 4) = 0

Equate each factor by 0 to find the values of x

∵ x + 1 = 0

- Subtract 1 from both sides

∴ x = -1

∵ x - 4 = 0

- Add 4 to both sides

∴ x = 4

Substitute the values of x in the equation y = x - 4 to find y

∵ y = -1 - 4

∴ y = -5

∵ y = 4 - 4

∴ y = 0

The solutions are (-1 , -5) and (4 , 0)

5 0
3 years ago
Evaluate the expression 2b to the third power+ 5 when b=5
Andrej [43]

Answer:

1005

Step-by-step explanation:

10 to the third power + 5 =

1000 + 5 =

1005

Hope that helps!

7 0
3 years ago
Find the slope of the line passing through the points<br> (-6,-5) and (4,4)
marshall27 [118]

Answer:

\frac{9}{10}

Step-by-step explanation:

The slope formula is  m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Here, x_{1} is -6, x_{2} is 4, y_{1} is -5, and y_{2} is 4.

m=\frac{4+5}{4+6}

m=\frac{9}{10}

So, the slope of the line passing through the points (-6,-5) and (4,4) is \frac{9}{10}.

3 0
3 years ago
WILL MARK AS BRAINIEST!!!!!!! In this triangle, which of the following is true?
prisoha [69]

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180

x = 180° - (90 + 35)° = 180° - 125° = 55°

----------------------------------------------------------

Since the triangle is right use the cosine ratio to solve for b

cos35° = \frac{adjacent}{hypotenuse} = \frac{b}{20}

Multiply both sides by 20

20 × cos35° = b, hence

b = 16.38 ( to 2 dec. places )

7 0
3 years ago
Read 2 more answers
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