Set up a proportion:

3/4/24 = 1/x

Cross multiply:

3/4x = 24

Divide 3/4 to both sides or multiply by its reciprocal, 4/3:

x = 24 * 4/3

x = 96/3

x = 32

So you had a total of 32 muffins, now subtract this from the amount that blew away to find out how many you have left:

32 - 24 = 8

So you have 8 muffins left.

3 0

3 years ago

Which equation demonstrates the multiplicative identity property?

dedylja [7]

Answer: Further explanation

There are several number operations that involve multiplication:

1. commutative

2. associative

3. closed

Multiplication between integers will produce integers too

4. distributive property

* addition

* substraction

5. identity

The multiplicative identity property is a multiplicative property in mathematics where each number multiplied by 1 will produce the original number or can be stated simply :

"The product of any number and one is that number"

So The Multiplicative Identity is 1

can be stated in the formula:

From the available answer choices

a) (- 3 + 5i) + 0 = -3 + 5i

this is an addition operation and not multiplication while O is an identity in the sum operation, so the statement is false

b) (-3 + 5i) (1) = -3 + 5i

this is a multiplication operation and 1 is a Multiplicative Identity of multiplication, so the statement is true

c) (-3 + 5i) (-3 + 5i) = -16-30i

d) (-3 + 5i) (-3 + 5i) = 16 + 30i

choice c and is a multiplication factor, so the statement is false

Step-by-step explanation:

5 0

3 years ago

Need some help with this one please

Airida [17]

Answer: Choice A

y = (-3/4)(x + 4) + 6

=====================================================

Let's go through the answer choices

Choice A is something we'll come back to
Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
Choice C is false for similar reasons as choice B. The slope should be negative.
Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.

We've eliminated choices B through D.

Choice A must be the answer through process of elimination.

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

Here's an alternative method:

If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4

This is because we've moved down 3 units and to the right 4 units.

m = slope = rise/run = -3/4

We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.

Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)

So,

y - y1 = m(x - x1)

y - 6 = (-3/4)(x - (-4))

y - 6 = (-3/4)(x + 4)

y = (-3/4)(x + 4) + 6

7 0

3 years ago