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2 months ago

Guest #4223

2 months ago

Linda would have completed 100% after she makes 40 deliveries. That being said, 24 is part of that 100% percent but we don't know the answer yet, so we represent that unknown percentage with an "x"

Therefore, 40 = 100% and 24 = x%

Your equation then is:

That 60 is the 60% of completion.

Therefore, 40 = 100% and 24 = x%

Your equation then is:

That 60 is the 60% of completion.

Question

Suppose you want to organize a community watch, one from each street. you have 5 volunteers from maple street and 3 volunteers from elm street. how many permutations do you get?

Solution 1

There would be 15 different options for the community watch.

One one side there are 5 volunteers and on the other side there are 3 volunteers. You just have to multiply 5 by 3 and you get 15 different options.

One one side there are 5 volunteers and on the other side there are 3 volunteers. You just have to multiply 5 by 3 and you get 15 different options.

Question

The diameter of a bowling ball is 12.57 centimeters. What is this value rounded to the nearest tenth of a centimeter?

Solution 1

For this case we have the following numerical value:

12.57 centimeters

We note that the number is rounded to the nearest hundredth.

If we want to round the number to the nearest decimal we must rewrite the number.

Rewriting we have:

12.6 centimeters

**Answer:**

**this value rounded to the nearest tenth of a centimeter is:**

**12.6 centimeters**

12.57 centimeters

We note that the number is rounded to the nearest hundredth.

If we want to round the number to the nearest decimal we must rewrite the number.

Rewriting we have:

12.6 centimeters

Solution 2

12.6 cm is the correct answer.

Question

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, space, c, m. What is the area AAA of the circular cross section of this pipe?

Solution 1

**Answer: **The answer is** 314.28 cm² (approx.).**

**Step-by-step explanation: **Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.

We need to find the area 'A' of the circular cross-section of the pipe.

Given, diameter of the circular section is

So, the radius of the circular cross-section will be

Therefore, cross-sectional area of the pipe is

**Thus, the answer is 314.28 cm² (approx.).**

Solution 2

**Answer:**

100

**Step-by-step explanation:**

Question

what is the 14 letter word with the definition of an example showing a statement is not true. it is c--n-e-t--m-l-

Solution 1

The word is counterexample.

Your second t is incorrect.

It should be an e.

Your second t is incorrect.

It should be an e.

Question

What is the product written in scientific notation? (2.1 x 10–2)(3.2 x 10–4)
a. 6.72 x 108
b. 6.72 x 10–6
c. 5.3 x 102
d. 5.3 x 10–6

Solution 1

First, you multiply 2.1 by 3.2, which gives you the answer of 6.72. Then, you multiply 10-2 by 10-4. One rule about multiplying exponents, you just add the exponents. So 10-2 x 10-4 = 10-6. Finally you get the answer of C. 6.72 x 10-6.

Question

The combined cost of one advance ticket and one same-day ticket to a show was $50. it is known that 17 advance tickets were sold and 48 same-day tickets were sold, for total receipts of $1842. what was the price of each kind of ticket?

Solution 1

1 advance + 1 same-day = $50

17 advance + 17 same-day = $50 x 17 = $850

$1842 - $850 = $992

48 - 17 = 31 same-day

31 same-day = $992

1 same-day = $32

1 advance + 1 same-day = $50

1 advance + $32 = $50

1 advance = $50 - $32 = $18

**Answer: same day ticket costs $32 and advance-day ticket costs $18.**

17 advance + 17 same-day = $50 x 17 = $850

$1842 - $850 = $992

48 - 17 = 31 same-day

31 same-day = $992

1 same-day = $32

1 advance + 1 same-day = $50

1 advance + $32 = $50

1 advance = $50 - $32 = $18

Solution 2

A same day ticket costs $32 and an advance day ticket costs $18. Hope this helpd.

Question

$80 is divided Between two men such that 1/4 of one persons share is equal to 1/6 Of the other how much will each man receive

Solution 1

X + y = 80

y/4 = x/6

6y = 4x

4x + 4y = 320

6y + 4y = 320

10y = 320

y = 32

6(32) = 4x

x = 48

Answer: The amounts are $32 and $48.

y/4 = x/6

6y = 4x

4x + 4y = 320

6y + 4y = 320

10y = 320

y = 32

6(32) = 4x

x = 48

Answer: The amounts are $32 and $48.

Question

evan graphs the function h(x)=x^2+4. Victor graphs the function g(x)=(x+4)^2. Which statements are true regarding the two graphs

Solution 1

Can you please add the statements? ThankS!

Question

A line of best fit predicts that when x equals 35, y will equal 34.785, but actually equals 37. What is the residual in this case?

Solution 1

We know that

Residual Value = Observed Value– Predicted Value

in this problem

Observed Value=37

Predicted Value=34.785

Residual Value = 37-34.785------> 2.215

positive values for the residual (on the y-axis) mean that the prediction was too low

**the answer is**

**2.215**

Residual Value = Observed Value– Predicted Value

in this problem

Observed Value=37

Predicted Value=34.785

Residual Value = 37-34.785------> 2.215

positive values for the residual (on the y-axis) mean that the prediction was too low

Question

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)squared + 4?

Solution 1

**Answer:**

x = 3/2

**Step-by-step explanation:**

That is quite long and drawn out, so we have to get it down to a single quadratic equation, set equal to 0.

Begin by expanding the right side to get

then multiplying in the -3 to get

Now we will combine all the like terms and get everything on one side of the equals sign, and set it equal to 0:

In order to find the equation of the axis of symmetry we have to put it into vertex form, which is accomplished by completing the square on this quadratic.

In order to complete the square, the leading coefficient has to be a +1. Ours is a -3, so we will factor that out. First, though, now that it is set to equal 0, we will move the constant, -2, over to the other side, isolating the x terms.

Now we can factor out the -3:

The rules for completing the square are as follows:

Take half the linear term, square it, and add it to both sides. Our linear term is 3. Half of 3 is 3/2, and squaring that gives you 9/4. We add into the parenthesis on the left a 9/4, but don't forget about that -3 hanging around out front that refuses to be ignored. We didn't add in just a 9/4, we added in (-3)(9/4) = -27/4:

In the process of completing the square we created a perfect square binomial on the left. Stating that binomial and simplifying the addition on the right gives us:

We can determine the axis of symmetry at this point. Because this is a positive x-squared polynomial, the axis of symmetry is in the form of (x = ) and what it equals is the h coordinate of the vertex. Our h coordinate is 3/2; therefore, the axis of symmetry has the equation x = 3/2

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