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schepotkina [342]

3 years ago

5

jessica put 4 tables together for the Pie day sale. Each table is 42 inches long. What is the total length of the tables express

ed in feet and inches

1 answer:

kondaur [170]3 years ago

5 0

Answer:

14 feet OR 168 inches

Step-by-step explanation:

4 tables multiplied by 42 inches equals 168 inches total

168 inches divided by 12 inches per feet equals 14 feet.

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Mrs. Nestler enjoys listening to classical music. She has the following audio CDs by her favorite composers in her collection: 4

ivolga24 [154]

Answer:

10.55% probability

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.

1 Bach CD, from a set of 4.

1 Beethoven CD, from a set of 6.

1 Brahms CD, from a set of 3.

1 Handel CD, from a set of 2.

So, D=144

4 CDs from a set of 4+6+3+2 = 15.

So, T= 1365

p= D/T= 144/1365 = 0.1055

10.55% probability that she will choose one by each composer

4 0

3 years ago

By copying and completing the working below, work out 3 + 1 16 Give your answer as a fraction in its simplest form.

Ksenya-84 [330]

Answer:

Assuming the question is: 3 + 1 16 [I see no "working below."

Step-by-step explanation:

3 + 1 16

48/16 + (16/16 + 1/16) [Make all numbers into fractions using 16 as the denominator. E.g. 48/16 = 3.

Add: 48/16 + (16/16 + 1/16)

(48+16+1)/16

=63/16

[Also equal to 3 15/16]

7 0

3 years ago

Pepper Jackie has 7.5 bags of mulch to cover 12 yds squared 2 of edible flower beds. If she wants to distribute the mulch evenly

anyanavicka [17]

Answer:

$\frac{5}{8}$

Step-by-step explanation:

Data provided in the question

Number of bags of mulch = 7.5 bags

Number of square yards = 12

So by considering above information, we could find the number of bags for each square yard is

= $\frac{Number\ of\ bags\ of\ mulch }{Number\ of\ square\ yards }$

= $\frac{7.5}{12}$

= 0.625

The 0.625 is equal to $\frac{5}{8}$ bag

Therefore, she need to use $\frac{5}{8}$ bag for each square yard

Basically we use the fraction so that each square yard for use of bag could be find out

3 0

3 years ago

Read 2 more answers

Calculus piecewise function.

Kipish [7]

Part A

The notation $\lim_{x \to 2^{+}}f(x)$ means that we're approaching x = 2 from the right hand side (aka positive side). This is known as a right hand limit.

So we could start at say x = 2.5 and get closer to 2 by getting to x = 2.4 then to x = 2.3 then 2.2, 2.1, 2.01, 2.001, etc

We don't actually arrive at x = 2 itself. We simply move closer and closer.

Since we're on the positive or right hand side of 2, this means we go with the rule involving x > 2

Therefore f(x) = (x/2) + 1

Plug in x = 2 to find that...

f(x) = (x/2) + 1

f(2) = (2/2) + 1

f(2) = 2

This shows $\lim_{x \to 2^{+}}f(x) = 2$

Then for the left hand limit $\lim_{x \to 2^{-}}f(x)$ , we'll involve x < 2 and we go for the first piece. So,

f(x) = 3-x

f(2) = 3-2

f(2) = 1

Therefore, $\lim_{x \to 2^{-}}f(x) = 1$

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

Part B

Because $\lim_{x \to 2^{+}}f(x) \ne \lim_{x \to 2^{-}}f(x)$ this means that the limit $\lim_{x \to 2}f(x)$ does not exist.

If you are a visual learner, check out the graph below of the piecewise function. Notice the gap or disconnect at x = 2. This can be thought of as two roads that are disconnected. There's no way for a car to go from one road to the other. Because of this disconnect, the limit doesn't exist at x = 2.

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

Part C

You'll follow the same type of steps shown in part A.

However, keep in mind that x = 4 is above x = 2, so we'll deal with x > 2 only.

So you'd only involve the second piece f(x) = (x/2) + 1

You should find that f(4) = 3, and that both left and right hand limits equal this value. The left and right hand limits approach the same y value. The limit does exist here. There are no gaps to worry about when x = 4.

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

Part D

As mentioned earlier, since $\lim_{x \to 4^{+}}f(x) = \lim_{x \to 4^{-}}f(x) = 3$ , this means the limit $\lim_{x \to 4}f(x)$ does exist and it's equal to 3.

As x gets closer and closer to 4, the y values are approaching 3. This applies to both directions.

4 0

2 years ago

i don’t understand what ? is. it’s pythagorean theorem and i know for this question, you HAVE to add, but i always get an answer

Sophie [7]

P1 = 10 m²

P2 = 22 m²

P3 = ?

According to Pythagoras' theorem:

P1 + P2 = P3

P3 = 10 m² + 22 m² = 32 m²

4 0

3 years ago

Read 2 more answers