15% of number is 54. What is 2/3 of that number?​

Answer: 12, 33% or 1/3

Step-by-step explanation: 33% is 1 3rd, half of 66% is 33%, so half of 8 is 4, so 8+4=12. There are 12 people in the crew.

Answer:

Explanation:

hope it will helps please heart my answer!

Since AB is parallel to CD, we have alternate interior angles forming when transversal CE intersects the parallel lines. Therefore,

mZDCE = mZECB (Alternate Interior Angles)

(7x + 2) = (x + 8) (Substitute in the given angle measures)

Solving for x, we get:

7x + 2 = x + 8

6x = 6

x = 1

Now, we can use x to find the measure of angle ZDCE:

mZDCE = (7x + 2)

= (7*1 + 2)

= 9

Therefore, the measure of angle ZDCE is 9 degrees.

The most appropriate choice of percentage will be given by-

343011 copies of book have been sold to date.

What is Percentage?

Percentage is a ratio expressed as a percentage of 100.

Let the total number of copies sold be x

Number of copies sold in the first month or release = \(\frac{9.3}{100} x\)

By the problem,

                         \(\frac{9.3}{100}x = 31900\)

                         \(9.3 x = 31900\) * \(100\)

                             \(x = \frac{31900 * 100}{9.3}\)

                             \(x = 343011\) (rounded off to nearest integer)

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The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

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$480 worth of fuses can power 240 motors. This is calculated by dividing $480 by $2 to get the total amount of policies that can be purchased. Then the total number of fuses is divided by 3, which is the number of fuses per motor.

This calculation results in 240 motors that can be supplied with $480 worth of fuses. In more detail, the calculation is as follows:

(480/2) / 3 = 240

This means that 240 engines can be supplied with $480 worth of fuses. This calculation is based on the assumption that each motor requires 3 fuses and that each fuse costs $2

Hopes this helps with your question. :)

Answer:

23 motors

Step-by-step explanation:

fuses = $4

motor uses 3 fuses = $4 × 3 = $12

$284 ÷ 12 = 23.6 = 23 motors

Step-by-step explanation:

Angle 6 is only equal to angle 2 if the lines are parallel. The horizontal line is being intersected by two lines, if they are parallel then <6 = <2. They are equal because the horizontal line is straight, meaning anything crossing it that are parallel wil creat equal angles

Answer:

Another length of this diagram FE=12.

Step-by-step explanation:

According to diagram

In triangle FED, EM is perpendicular bisector of FD.

In ΔFED, EM ⊥ FD and FM=MD

In ΔFME and ΔDME

FM=DM                       (Given)

∠FME=∠DME             (each 90°)

ME=ME                       (Common)

ΔFME ≅ ΔDME  (By SAS congruence property)

Therefore, FE≅DE  (by CPCT)

But DE=12

So, FE=12

Thus, Another length of this diagram FE=12.

Step-by-step explanation:

Answer: x(0.035)+w

Step-by-step explanation:

to find out the percent she gets from sales you multiply that by the percent she earns then add it to the 2400 which she already makes

Answer:

31/10

Step-by-step explanation:

Answer:

2/52

Step-by-step explanation:

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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I'm not sure how many equations you are asking for, but hopefully, you can use what I wrote here to solve your actual question. Here is my go:

3x+10+2x+2+5x

First, add all the x's together:

3x+2x+5x=10x

Next, add all our numerals together:

10+2=12

Put it together!

10x+12

Answer:

x = 11/c

Step-by-step explanation:

Solve for x:

c x - 4 = 7

Hint: | Isolate terms with x to the left-hand side.

Add 4 to both sides:

c x = 11

Hint: | Solve for x.

Divide both sides by c:

Answer: x = 11/c

Answer:

±10i

Step-by-step explanation:

sqrt( -100)

sqrt(  100*-1 )

We know sqrt(ab) = sqrt(a) sqrt(b)

sqrt(100)sqrt(-1)

We know that sqrt(-1) = i

±10i

Answer:

0 + 10i

Step-by-step explanation:

Answer:

Standard form of 400000000 (four hundred million) is 4 x \(10^{8}\)

Step-by-step explanation:

Because there are 8 0s, and its 400 million

Hope this helps!

Answer:

B. $2.14

Step-by-step explanation:

Given that

The price of the five supermarkets would be $1.92, $2.01,

$1.89, $2.22, and $2.16

And, each supermarket would be increased by $0.10

So, the today mean price would be

= ($1.92 + $2.01 + $1.89 + $2.22 + $2.16 + $0.10 × 5) ÷ (5)

= $10.7 ÷ 5

= $2.14

Therefore the second option is correct

Step-by-step explanation:

For all the recent strides we’ve made in the math world, like how a supercomputer finally solved the Sum of Three Cubes problem that puzzled mathematicians for 65 years, we’re forever crunching calculations in pursuit of deeper numerical knowledge. Some math problems have been challenging us for centuries, and while brain-busters like the ones that follow may seem impossible, someone is bound to solve ‘em eventually. Maybe.

For now, take a crack at the toughest math problems known to man, woman, and machine.

1. The Collatz Conjecture



DAVE LINKLETTER

Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.

A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.

Tao’s recent work is a near-solution to the Collatz Conjecture in some subtle ways. But his methods most likely can’t be adapted to yield a complete solution to the problem, as he subsequently explained. So we might be working on it for decades longer.

The Conjecture is in the math discipline known as Dynamical Systems, or the study of situations that change over time in semi-predictable ways. It looks like a simple, innocuous question, but that’s what makes it special. Why is such a basic question so hard to answer? It serves as a benchmark for our understanding; once we solve it, then we can proceed to much more complicated matters.

The study of dynamical systems could become more robust than anyone today could imagine. But we’ll need to solve the Collatz Conjecture for the subject to flourish.

Answer:

Sorry brillant26 or whatever gave you a invalid answer. its actually A (25 employees on the company email list) and D (25 employees at a company wide assembly)

Hope this helps!!

Have a nice day!!

Step-by-step explanation:

To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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Answer:

A = (-2,5)

B = (5,5)

the distance between the points is 7

Step-by-step explanation:

Answer:

-222

Step-by-step explanation:

Answer:

\( \frac{5x {}^{2} }{2} - 8x + 6\)

Step-by-step explanation:

That's your answer

Answer: 246.7

Step-by-step explanation:

Answer:

Y = 10

I hope it's helps you

Answer:

y = 10

Step-by-step explanation:

So, we can use the external angle as the measurement of the distant angles. In other words,

4y + 7y + 6 = 116

11y + 6 = 116

11y = 110

y = 10

The depth of the crater in yards is 387.2 yards

Since the crater is 13,937.63 in deep, we convert this to yards.

Since 36 in = 1 yard, we use this conversion factor to convert to yards

13,937.63 in × 1 yard/36 in = 387.16 yards

≅ 387.2 yards to the nearest tenth

So, the depth of the crater in yards is 387.2 yards

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Answer:

See Explanation

Answer: \( \boxed{ {7}^{14}} .50\)

Step-by-step explanation:

\({7}^{16} + {7}^{14} \\ \\ = {7}^{14} ( {7}^{2} + 1) \\ \\ = {7}^{14} (49 + 1) \\ \\ = {7}^{14}.50\)

Since, one factor of \( {7}^{16}+ {7}^{14}\) is 50.

Therefore, \( {7}^{16}+ {7}^{14}\) is divisible by 50.

Hence proved.

Answer:

19/38;-1 12/30; - 1 12/20

Answer:

No

solution

Step-by-step explanation:

Step one:

given the expression

\((v + 7)^2 +3 = 43\)

opening the bracket we have

\((v+7)(v+7)+3= 43\\\\v^2+7v+7v+49=43\\\\\)

collect like terms

\(v^2+14v+49=43\\\\v^2+14v+49-43=0\\\\V^2+14v-6=0\)