Davion’s crew can hang 12 sheets of drywall in 15 minutes. At this rate, how many sheets can they hang in 1 hour? (15 minutes # 1/4 hour

Answer:

\(\huge\boxed{\sf 17}\)

Step-by-step explanation:

\(\displaystyle 5 \times 3\frac{2}{5} \\\\= 5 \times \frac{5 \times 3 + 2}{5} \\\\= 5 \times \frac{15+2}{5} \\\\= 5 \times \frac{17}{5} \\\\Cancelling \ 5s \\\\= 17\\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

Reserve rate = 9%

Step-by-step explanation:

Reserve ratio/rate is the percentage of deposits which commercial banks are required to keep as cash, as directed by the central banks.

first, let us calculate the reserve amount as follows:

Reserve = Deposit - (free amount to lend out)

Reserve = 28,000 - 25,480 = $2,520

\(Reserve\ rate = \frac{Reserves}{Deposits} \times100\\Reserve\ rate = \frac{2520}{28000} \times100\\=\frac{252000}{28000} =9\%\)

Therefore the reserve rate = 9%

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

BT=CT the first one because BAT=CAT and bc cut the similar vector between these two triangle

Answer:

1.5 years

Step-by-step explanation:

I = prt

54 = 800(.045)t

54 = 36t

t = 54/36

t = 1.55

Answer:

The amount of time is 1.5 years

The big-o for the expected work performed by a call to fib(n) (where n < maxmemo) will be constant.

If the function is implemented with memoization, i.e., storing the results of previously calculated Fibonacci numbers to avoid redundant calculations, the expected work performed by a call to fib(n) would be O(1) for n < maxmemo, regardless of the number of previous calls made to fib.

This is because if the function has already calculated fib(n) earlier, it can simply look up the result in the memoized dictionary and return the stored value without performing any additional calculations. Otherwise, it would calculate fib(n) once and store the result in the memoized dictionary for future lookups.

Therefore, the expected work performed by a call to fib(n) is constant, O(1), as long as the previously calculated Fibonacci numbers are stored in memory using memoization. The number of previous calls made to fib has no impact on the expected work performed by a call to fib(n) as long as n is less than maxmemo.

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Answer:

G

Step-by-step explanation:

Distribute the -7 to 4x and -5

Answer:

Hey!

The answer is

When you multiply them you get

\(-28x^{2} + 35\)

There are 5 dimes and 20 quarters.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Joe has 4 times as many dimes as quarters.

And, Total coins = $5.20

Now,

By the given condition we can formulate;

⇒ Q = 4D    ... (i)

And, 25Q + 10D = $5.20    ... (ii)

Where, Q is number of quarters and D is number of dimes.

Substitute the value of equation (i) in equation (ii), we get;

⇒ 0.25Q + 0.10D = $5.20

⇒ 25Q + 10D = $520

⇒ 25 × 4D + 10D = $520

⇒ 100D + 10D = $520

⇒ 110D = $520

Divide by 110, we get;

⇒ D = $520 / 110

⇒ D = 4.72

After rounding we get;

Number of dimes = 5

And, Number of quarters is;

⇒ Q = 4D

⇒ Q = 4 x 5

⇒ Q = 20

Therefore, There are 5 dimes and 20 quarters.

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Answer:

32 notebooks will fit.

Step-by-step explanation:

Answer:

8x - 2

Step-by-step explanation:

2x + 3 - (5 - 6x) ← distribute parenthesis by - 1

= 2x + 3 - 5 + 6x ← collect like terms

= (2x + 6x) + (3 - 5)

= 8x + (- 2)

= 8x - 2

Answer:

0.9954

Step-by-step explanation:

For normal distribution z score is

=  \(\frac{\hat p-p}{\sigma p}\)

Population proportion (p) = 0.060

Sample size (n) = 285

the standard error of proportion is

=  \(\sigma p = \sqrt{\frac{p\times (1 - p)}{n}}\)

After putting the values into the above formula we will get

= 0.0141

Probability as the sample proportion will different from the population proportion by lower than the 4% that is

Probability = P(0.02<X<0.1) = P(-2.84<Z<2.84) = 0.9977 - 0.0023

= 0.9954

Answer:

203,000

Step-by-step explanation:

You need to find the pattern first, so you need to subtract 213,000 from 209,000 to get 4,000. Now that is the pattern for 2 years we need it for 1 year. So divide 4,000÷2=2,000 for 1 year. Next, you need to multiply 2,000×3=6,000. That is the decrease of the population for 3 years. Finally, subtract 6,000 from 209,000.

Hope you get an A! <3

Answer:

5x i think

Step-by-step explanation:

hopenit is right

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Ramesh will bear a total medical expense of RM1,760, and the insurance company will cover RM2,900.

1. Ramesh's deductible is RM1,500 per year. This means that he is responsible for paying the first RM1,500 of medical expenses before the insurance coverage kicks in.

2. For the first treatment, the medical cost was RM700. Since this amount is less than the deductible, Ramesh will have to pay the entire RM700 out of pocket.

3. For the second treatment, the medical cost was RM2,000. Since Ramesh has already met his deductible with the first treatment, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the remaining RM500 (RM2,000 - RM1,500), which amounts to RM100. The insurance company will cover the remaining 80% of RM500, which amounts to RM400.

4. For the third treatment, the medical cost was RM1,700. Again, since Ramesh has already met his deductible, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the entire cost, which amounts to RM340 (20% of RM1,700). The insurance company will cover the remaining 80% of RM1,700, which amounts to RM1,360.

5. To calculate the total medical expenses borne by Ramesh, we add up the amounts he is responsible for in each treatment: RM700 + RM100 + RM340 = RM1,140.

6. The total medical expenses covered by the insurance company can be calculated by adding up the amounts they pay in each treatment: RM400 + RM1,360 = RM1,760.

7. Finally, to find the overall amount borne by Ramesh and the insurance company, we sum up the individual expenses: Ramesh's expenses + insurance company's expenses = RM1,140 + RM1,760 = RM2,900.

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Answer:

red and blue are not a Selection!!!!!

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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Answer:

A.

Step-by-step explanation:

the only thing we can do is try the various (x, y) pairs in the equation, and see, for which pair the equation is true.

first, write the equation properly ;

x² + (y - 12)² = 252

A. (20, -3)

20² + (-3 - 12)² = 252

400 + 225 = 252

625 = 252 wrong

B. (-7, 24)

(-7)² + (24 - 12)² = 252

49 + 144 = 252

193 = 252 wrong

C. (0, 13)

0² + (13 - 12)² = 252

1 = 252 wrong

D. (-25, -13)

(-25)² + (-13 - 12)² = 252

625 + 625 = 252

1250 = 252 wrong

so, none of the answers seems to be right.

could it be that you meant

x² + (y - 12)² = 25² = 625

because then A. is

20² + (-3 - 12)² = 625

400 + 225 = 625

625 = 625 true

so, you see how important the correct writing is ?

Answer:

A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (1, 2)

Substituting the values we get:

y - 2 = 3(x - 1)

Simplifying the equation we get:

y - 2 = 3x - 3

y = 3x - 1

Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .

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The interval over which the functions have the same average rate of change is given as follows:

x = 1 to x = 2.

The average rate of change of a function is given by the change in the output divided by the change in the input.

The function g(x) is given as follows:

g(x) = 18x + 12.

It is a linear function with a slope of 18, hence the average rate of change over each interval is of 18.

For function f(x), the rates are given as follows:

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Answer:

The probability of rolling an odd sum and a sum less than or equal to four is 1/12

Step-by-step explanation:

Step-by-step explanation:

the first : e.g. a trapezoid

only 2 lines are parallel, but still it is a closed object with 4 vertexes and therefore 360° sum of internal angles. and 2 of the angles are smaller than 90°, and 2 are larger than 90°.

the second : a parallelogram, with all 4 sides having the same length. a square that is pushed e.g. on the top while the bottom stays.

the third : a rectangle. perpendicular means intersecting at 90°. but not a square. length and width must be different.

that's it, really. what was so confusing for you ?

Answer:

No.

Step-by-step explanation:

The given system of equations are :

-6x + y= -12 ......(1)

x + y= -3 ......(2)

Put x = 3 and y = 6 in both equations i.e.

-6(3) + (6) = -12

And

3 + 6 = 9 ≠  -3  

Hence, (3,6) is not the solution of the given system of equations.

Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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Answer:

a) 28395

b) 3859

c) 980

Step-by-step explanation:

The formula to determine the population is as follows -

\(P = P_0 * e^{rt}\)

a) P0 = 6336

r = 3/10

t = 5

Substituting the given values, we get

\(P = 6336 * e ^{\frac{3}{10} *5}\)

P = 28395

b) Substituting the given values

\(P = 1823 * e^{\frac{3}{12} *3}\\P = 3859\)

c) Substituting the given values

\(P = 580 * e^{72*12}\\P = 3859\\P = 580 *1.69\\P = 980\)

Answer:

280.5 mm^2

Step-by-step explanation:

scale * 25.5 mm = 127.5 mm      1275/25.5 = 5   scale factor  

25.5   *   55/5 = 280.5 mm^2

Answer: Percentage of not defective parts =88.88% which can be rounded up to 89%

Step-by-step explanation:

Total part manufactured= 36

defective parts = 4

Non defective parts = 36-4 = 32.

Percentage of not defective parts = Number of not defective parts / Total parts manufactured x 100

= 32/36 x 100= 88.88%

Answer:

D

Step-by-step explanation:

hope this helps :3

Answer:

hundreds

Step-by-step explanation:

Remember the place values:

thousands 8

hundreds 2

tens 1

ones 6

.

tenths 4

The 2 is in the hundreds place.

Answer:

do 24 points i know it very well