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3 years ago

Name the property:

Mathematics

2 answers:

11111nata11111 [884]3 years ago

8 0

Answer:

B. Commutative property of multiplication

Step-by-step explanation:

Neporo4naja [7]3 years ago

5 0

Answer:

B. Commutative Property of Multiplication

Step-by-step explanation:

You might be interested in

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th

zvonat [6]

The labor fee is $13.55 and each quart of oil is $2.25

Step-by-step explanation:

Let,

x be the amount of each quart of oil

y be the amount of labor fee

According to given statement;

5x+y=24.80 Eqn 1

7x+y=29.30 Eqn 2

Subtracting Eqn 1 from Eqn 2

$(7x+y)-(5x+y)=29.30-24.80\\7x+y-5x-y=4.50\\2x=4.50$

Dividing both sides by 2

$\frac{2x}{2}=\frac{4.50}{2}\\x=2.25$

Putting x=2.25 in Eqn 1

$5(2.25)+y=24.80\\11.25+y=24.80\\y=24.80-11.25\\y=13.55$

The labor fee is $13.55 and each quart of oil is $2.25

Keywords: linear equation, subtraction

Learn more about subtraction at:

#LearnwithBrainly

6 0

3 years ago

A single card is drawn from a standard 52-card deck. Let D be the event that the card drawn is a black card and let F be the eve

tester [92]

Answer:

The indicated probability of $P(D \cup F')=\frac{25}{26}$

Step-by-step explanation:

Probability of an event E to be;

P(E) = $\frac{Number of events within E}{Total number of possible outcomes}$

As per the given condition:

Total number of possible outcomes = 52 cards.

Let the event be D and F as follows;

D : Drawn card is a black card

F : Drawn card is a 10 card.

Then,

From the given condition:

P(D) = $\frac{26}{52}$ [Out of 52 cards, 26 were black] ,

P(F) = $\frac{4}{52}$ [Out of 52 cards, there are four 10 cards]

For any two events A and B we always have;

$P(A \cup B) = P(A)+P(B)-P(A \cap B)$

Now, we have to find the indicated probability:

$P(D \cup F')=P(D)+P(F')-P(D \cap F')$ ......[1]

First find the P(F');

P(F') =1-P(F) = $1-\frac{4}{52} =\frac{52-4}{52} =\frac{48}{52}$

Also, to find $P(D \cap F')$ .

We use the formula :

For any event A and B independent variable.

$P(A \cap B) =P(A) \cdot P(B)$

then;

$P(D \cap F') =P(D) \cdot P(F') = \frac{26}{52} \cdot \frac{48}{52} =\frac{24}{52}$

Now, substitute these in [1];

$P(D \cup F')=\frac{26}{52} +\frac{48}{52} -\frac{24}{52}$ = $\frac{26+48-24}{52} =\frac{50}{52} = \frac{25}{26}$

Therefore, the probability of $P(D \cup F')=\frac{25}{26}$

3 0

3 years ago

A 24-foot ladder rests against a house near a second story window 20 feet from the ground. Assume that the ladder and the house

Sauron [17]

The ladder, leaning against the building, forms a right triangle with height "a" being the distance from the ground to the window, and hypotenuse "c" being the length of the ladder.

Because it's a right triangle, we can use trigonometric ratios to find the angles we're missing.

For part A), to solve for the angle between the base of the ladder and the ground, you'll want to use sine, because we know the lengths of the opposite side and the hypotenuse.

Sin(x) = a/c , solve for angle x in degrees or radians.

For part B), finding the angle between the top of the ladder and the building, remember that the sum of the angles in a triangle is 180 degrees, or pi radians, depending on which unit your teacher prefers.

Assuming degrees, we can say that angle y = 180-90-x. You are simply subtracting the two known angles to find the third.

For part C) use the Pythagorean theorem. You're looking for the length of the base, "b". Recall:

a^2 + b^2 = c^2

Plug in the known values, and solve for b.

7 0

3 years ago

What is the original price if saidhari and she paid $75 and it was 1/4 off the price

Lelu [443]

Let's set the original price as x.

1/4 off the original price would be

x-1/4x=3/4x

Set it equal to 75

3/4x=75
3x=300
x=100

The original price was $100.

Hope this helps!

4 0

3 years ago

Brian has 5 marbles, Sarah has 9 marbles, Jimi has 4 marbles, and Juan has 6 marbles. They want to redistribute the marbles so t

Dvinal [7]

6 marbles per person.

If we count the number of marbles in total, we get 24: 5+9+4+6= 24

Now that we know the Total # of marbles, we need to know how many people we need to distribute marbles to. We count Brian, Sarah, Jimi, and Juan and get 4 people in total.

To find how many marbles each person needs to receive, we then need to do 24 divided by 4.

When we do this, we get 6 marbles per person.

5 0

3 years ago