Yolanda walks 1.5km every day. How far does she walk in 9 days? Write your answer in meters.

The number 18 is considered an even number because it can be divided by 2 to result in another integer. This is confirmed by writing 18 as 2 times 9, which results in an even product.

In mathematics, an even number is any integer that can be exactly divided by 2 without leaving a remainder. For example, the numbers 2, 4, 6, 8, and 10 are even because each can be divided by 2 to result in another integer. If you divide an even number by 2, the result is always a whole number, and that's not the case with odd numbers. Let us examine the number 18.

If we write 18 as 2 times 9, we see that it has been turned into a product of 2 and another integer (9, in this case). This indicates that 18 is indeed an even number. Therefore, we can be sure of the fact that the number 18 is an even number, because it can be divided by 2 without leaving a remainder.

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Which of these indicates that a bank is likely to be answerable to the Office of the Comptroller of the Currency?

a. The bank lists the initials “NA” after its name.

The full form of N.A is N stands for national and A stands for Association. This inclusion of initials helps the banks to be distinguished as national and legal.

The bank is qualified to give loans indicates that a bank is likely to be answerable to the Office of the Comptroller of the Currency.Option a is correct.

All federal savings organizations, national banks, and federal branches and agencies of foreign banks are chartered, governed, and overseen by the Office of the Comptroller of the Currency (OCC).

The OCC is a stand-alone division of the U.S. Department of the Treasury, and the Comptroller of the Currency is in charge of it.

The OCC makes ensuring that national banks and federal savings organizations run securely, fairly access financial services, treat customers fairly, and adhere to all relevant laws and regulations.

Thus, the bank is qualified to give loans indicates that a bank is likely to be answerable to the Office of the Comptroller of the Currency.Option a is correct.

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The solution is, the value is 60000 x 1000 =60000000.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

60000 x 1000

i.e. we have to multiply 60000 with 1000

so, we get,

60000 x 1000

=60000000

Hence, The solution is, the value is 60000 x 1000 =60000000.

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Final answer:

To determine how long one couple dances together, divide the total song duration by the number of times partners change plus one. With nine partner changes during a five-minute long song, each couple dances together for 0.5 minutes.

Explanation:

The question involves calculating the amount of time one couple dances together during a wedding dance if couples change partners nine times during a five-minute song. To find the answer, we need to divide the total time of the song by the number of times the partners change.

First, we find out how many times the couples will dance together. If they switch partners nine times, there will be ten different dancing intervals. Next, we divide the total length of the song by the number of intervals:

5 minutes ÷ 10 intervals = 0.5 minutes per interval.

Therefore, one couple dances together for 0.5 of a minute.

we  know that

[tex]larger\ volume=original\ volume*(scale\ factor)^{3}[/tex]

and

[tex]larger\ surface\ area=original\ surface\ area*(scale\ factor)^{2}[/tex]

so

Find the scale factor

we know that

[tex](scale\ factor)^{3}=8 \\ scale\ factor=\sqrt[3]{8}=2[/tex]

Find the factor of the surface area increased

[tex](scale\ factor)^{2}=2^{2} =4[/tex]

therefore

the answer is

the surface area increased by a factor of [tex]4[/tex]

The need to cut the plastic by finding the measures of the angles (scale factor) is 4.

We have given,

Marcel is designing a circular necklace that will consist of 4 sections, each with a different color of plastic.

We  know that

larger volume=original volume×(scaler factor )^3

larger surface area =original surface area× (scaler factor)^2

To find the scale factor

we know that

(scalar factor)^3=8

Taking cube root on both sides

scale factor=2

Find the factor of the surface area increased

(scale factor)^2=2^2=4

Therefore, The surface area increased by a factor of 4.

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I hope that helps!

Answer:

The length of each side is 21 inches, 21 inches, 15 inches, 30 inches and 15 inches.

Step-by-step explanation:

Consider the provided figure.

It is given that the perimeter of a school crossing sign is 102 inches.

The figure have 5 sides having the length s+6, s+6, s, 2s and s.

Now the perimeter is the sum of all sides,

s+6+s+6+s+2s+s=102

6s+12=102

6s=102-12

6s=90

s=15 inches

The length of each side is:

s+6=15+6=21 inches

s+6=15+6=21 inches

s=15 inches

2s=2×15=30 inches

s=15 inches

Hence, the length of each side is 21 inches, 21 inches, 15 inches, 30 inches and 15 inches.

Answer:

The answer is 4.25 cm.

Step-by-step explanation:

Given is - Joelle wants to place a figure which is 13.09 cm wide so that it appears centered on the page. The width of the page is 21.59 cm.

To solve, this first we will 13.09 from the 21.59, and then divide that number in half to find the left and right margin.  

[tex]21.59-13.09=8.5[/tex]

[tex]\frac{8.5}{2}= 4.25[/tex]

Therefore, the answer is 4.25 cm.

The tank can be rented for maximum of 6 hours.

We have school PTA wants to rent a dunking tank for its annual fundraising carnival. The cost is $80 for the first three hours and then $19.75 for each additional hour or part thereof.

We have to determine how long can the tank be rented if up to $200 is budgeted for this expense.

Initial count = 500

Count increasing per second = 5

Critical level = 1000

Assume that the bacteria count after t seconds is y. Then -

y = 500 + 5t

for t = 30 ↔ y = 150 + 500 = 650 < 1000 → Critical level not passed.

According to question, we have -

Cost for first three hours = $80

Cost for additional hour = $19.75

Total Budget = $200

Assume that the tank can be bought for 'n' hours. Then -

80 + 19.75n ≤ 200

Solving the inequality -

19.75n + 80 - 80 ≤ 200 - 80

19.75n ≤ 120

n ≤ 6.07

or

n ≤ 6

Hence, the tank can be rented for maximum of 6 hours.

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Answer:28.071

Step-by-step explanation:

Given

vector component is (15,8)

i.e. its x component is 15 from origin and y component is 8 m

So angle made by vector with x axis is

[tex]tan\theta =\frac{8}{15}[/tex]

[tex] \theta =tan^{-1}\frac{8}{15} [/tex]