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3 years ago

The question is above

Mathematics

1 answer:

galina1969 [7]3 years ago

3 0

For 11, we can subtract x from both sides for the first equation to get y=8-x, making the slope -1 for both equations and therefore making it parallel.

For 13, we can solve for y in the first equation by subtracting 14 from both sides and therefore getting 2x-14=y. For the next one, we can subtract 4x from both sides to get 10-4x=2y. Dividing both sides by 2, we get 10-2x=y. Since for the equations to be parallel they must be the same and for perpendicular they must be -1/(slope), this fits neither.

Using those two explanations, I implore you to solve the other two on your own!

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Solve for X triangle.

sweet-ann [11.9K]

Answer:

x= 12.942

Law of sines :)

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3 years ago

James bought Nicole a pair of shoes for $54.99 and a bracelet for $21.99. He used a 15% off coupon and then paid 7.5% sales tax.

mina [271]

Answer:

$70.34

Step-by-step explanation:

The total before the coupon and tax is:

$54.99 + $21.99 = $76.98

Now apply the 15% coupon:

Since the total price is 100% of the price, when you apply a 15% coupon, you pay 100% - 15% = 85% of the price. We need to find 85% of $76.98

85% * $76.98 =

= 0.85 * $76.98

= $65.43

The price after the 15% coupon, but before the tax, is $65.43

Now the total $65.43 is considered 100% of the price. The tax is 7.5%.

100% + 7.5% = 107.5%

Now we find 107.5% of $65.43

107.5% of $65.43 =

= 1.075 * $65.43

= $70.34

Answer: $70.34

6 0

3 years ago

Read 2 more answers

An experiment consists of first rolling a die and then tossing a coin: A. How many elements are there in the sample space? B. Le

stepladder [879]

Answer:

A) There are 12 elements in the sample space.

B) The required probability is 1/4 or 0.25.

C) Yes, the events are mutually exclusive.

Step-by-step explanation:

Consider the provided information.

Part(A)

An experiment consists of first rolling a die and then tossing a coin.

Thus the sample space is:

(1,H), (2,H) (3,H) (4,H) (5,H), (6,H)

(1,T), (2,T) (3,T) (4,T) (5,T), (6,T)

Hence, there are 12 elements in the sample space.

Part(B) Let A be the event that either a 2, 3 or 4 is rolled first, followed by landing a head on the coin toss.

Now consider the above sample space. There are 3 possible case in which 2, 3 or 4 is rolled first, followed by landing a head on the coin toss.

i.e (2,H) (3,H) (4,H)

The required probability is: P(A)= $\frac{3}{12}=\frac{1}{4}=0.25$

Hence, the required probability is 1/4 or 0.25.

Part(C)

Mutually exclusive, means that they cannot occur at the same time.

From part (B) Event A = (2,H) (3,H) (4,H)

Let B be the event that a number less than 2 is rolled, followed by landing a head on the coin toss.

Thus, the Event B = (1,H).

Therefore, Event A and B can't be occur at the same time as P(A and B)=0.

Hence, yes, the events are mutually exclusive.

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3 years ago

Write the scientific notation for 2,460,000

Diano4ka-milaya [45]

It would be equalto 2.4 * 10^6

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3 years ago

Give an example of a monomial with a degree of 7.

Grace [21]

Answer:

5x⁷ is a monomial of degree 7

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3 years ago