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3 years ago

Liz simplified the expression 5x - 3(4 - x) and got 2x -12. Did she simplify the expression correctly? Explain how you know.

Mathematics

1 answer:

Orlov [11]3 years ago

5 0

Answer:

Step-by-step explanation:

Incorrect. She forgot to change the sign while distributing.

5x - 3(4-x) = 5x - 12 + 3x = 8x - 12

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The length and width of a rectangle are in a 3:5 ratio. The perimeter of the rectangle is 64. What are the length and width of t

Levart [38]

Hey there! I'm happy to help!

We know that the perimeter is 2L+2W. Le'ts plug in the values 3 and 5 from our ratio and see what our perimeter would be with that.

2(3)+2(5)

6+10

How can we get this 16 to 64?

64/16=4

So, we need to multiply this length and width by four to get 64 as our perimeter!

3*4=12

5*4=20

We can plug this into our perimeter equation

2(12)+2(20)

24+40

Therefore, our length is 12 and our width is 20.

Have a wonderful day! :D

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3 years ago

What is the probability of spinning praline wafer and then spinning oven baked apple & lavender calzone on the next spin pls

kolezko [41]

Answer:

Can you be a bit more specific?

Step-by-step explanation:

I need to know a bit more to help

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3 years ago

In the Ardmore Hotel, 20 percent of the guests (the historical percentage) pay by American Express credit card. (a) What is the

xxMikexx [17]

Answer:

(a) The expected number of guests until the next one pays by American Express credit card is 4.

(b) The probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

Step-by-step explanation:

The random variable X can be defined as the number of guests until the next one pays by American Express credit card

The probability that a guest paying by American Express credit card is, p = 0.20.

The random variable X follows a Geometric distribution since it is defined as the number of trials before the first success.

The probability mass function of X is:

$P(X=x)=(1-p)^{x}p;\ x=0,1,2,3...,\ 0$

(a)

The expected value of a Geometric distribution is:

$E(X)=\frac{1-p}{p}$

Compute the expected number of guests until the next one pays by American Express credit card as follows:

$E(X)=\frac{1-p}{p}$

$=\frac{1-0.20}{0.20}$

$=4$

Thus, the expected number of guests until the next one pays by American Express credit card is 4.

(b)

Compute the probability that the first guest to use an American Express is within the first 10 to checkout as follows:

$P(X=10)=(1-0.20)^{10}\times0.20$

$=0.1073741824\times 0.20\\=0.02147483648\\\approx0.0215$

Thus, the probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

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3 years ago

How is a debit card similar to an ATM card?

REY [17]

C. Both can be used to withdraw money from ATMs.

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3 years ago

Read 2 more answers

The following triangles are similar. Find side AB.

tankabanditka [31]

Answer:

Step-by-step explanation:

Set up ratios of corresponding sides. x+2 is to 6 as 2 is to 3:

$\frac{x+2}{6}=\frac{2}{3}$

Now cross multiply to get

3(x + 2) = 12 and

3x + 6 = 12 so

3x = 6 and

x = 2. That means that side AB, x + 2, is 2 + 2 which is 4

4 0

3 years ago