The product of two numbers is 10000.If one number is 16 times the other numbers ,find the two numbers.​

Answers

Answer 1

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➯Question:

The product of two numbers is 10000. If one number is 16 times the other numbers ,find the two numbers.

Answer:

Both numbers are 25 and 400.

Step By Step Explanation:

Given that:

The product of two numbers is 10000.

One number is 16 times the other number.

To Find:

Both numbers?

Solution:

Let us consider that one number be n, in question it is stated that other number is 16 times the first number. Therefore, other number is 16n.

According to the Question :

[tex]\sf↦ Product ~of ~numbers = 10000\\\\↦ n × 16n = 10000\\\\↦ 16n² = 10000\\\\↦ n² = \sf \dfrac{10000}{16}\\\\↦ \sf n = \sqrt{\dfrac{10000}{16}}\\\\↦ \sf n = \sqrt{\dfrac{100\:\times\:100}{4\:\times\:4}}\\\\↦ \sf n = {\cancel{\dfrac{100}{4}}}\\\\➦\pmb{\underline{\boxed{\sf{\pink{n = 25}}}}}[/tex]

Hence,

1st number = n = 25

2nd number = 16n = 16 × 25 = 400

∴ Hence, both numbers are 25 and 400.

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Answer 2

Answer:

(25, 400) or (-25, - 400)

Step-by-step explanation:

Let the numbers be x and y.

We have:

y = 16xxy = 10000

Substitute y and solve for x:

x(16x) = 1000016x² = 10000x² = 10000/16x² = 625x = √625x = ± 25

Then y is:

y = ± 25*16 = ± 400

The numbers are:

25 and 400 or -25 and - 400

Related Questions

Select all that apply to the following statement. There is a LOW correlation between cheating and final grades in Math256. Group of answer choices Correlation requires both variables to be either qualitative or quantitative. The correlation has no unit of measurement; it is just a number. The correlation must specify which is the explanatory variable and which is the response variable Correlation requires both variables to be quantitative

Answers

Answer:

The correlation has no unit of measurement; it is just a number.

Correlation requires both variables to be quantitative.

Step-by-step explanation:

Correlation refers to the measure of the relationship between two variables. The correlation between two variables is measured using the correlation Coefficient which may take any value between - 1 and 1 ; the closer the correlation Coefficient is to either 1 or - 1, the greater the relationship with negative depicting a negative association and positive depicting a positive relationship between the variables. The correlation Coefficient requires that both variables are numeric (quantitative). The correlation Coefficient has no unit of measurement.

The mean length of a group of fish is 14.2 inches. A fish that is 41 inches long
joins the group. How does this fish's length affect the mean?
A. The new mean length will be less than 14.2 inches.
B. The new mean length will still be 14.2 inches.
C. The new mean length will be 41 inches.
D. The new mean length will be greater than 14.2 inches.

Answers

The fish's length will affect the mean because the new mean length will be less than 14.2 inches. That is option A.

What is mean?

Mean is defined as the sum of all the data values divided by the count of values in a data set.

What a new value is added to a data set such as the group of fishes, it will affect the fish mean by reducing it to less than its former mean value which is 14.2 inches.

Therefore, the fish's length will affect the mean because the new mean length will be less than 14.2 inches.

Learn more about mean here:

https://brainly.com/question/1136789

#SPJ1

Inverse trigonometry functions I need help finding the answers everything I’ve tried says it’s wrong

Answers

Answer:

see below

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hypotenuse

cos x = 13/20

Taking the inverse cos of each side

arccos ( cos x ) = arccos( 13/20)

x = arccos ( 13/20)

x =49.45839

x = 49  to the nearest whole number

sin theta = opp/ hyp

sin y = 13/20

Taking the inverse sin of each side

arcsin ( sin y ) = arcsin( 13/20)

y = arcsin ( 13/20)

y=40.5416

y = 41 to the nearest whole number

A DVD player was marked down by 30 percent from its original price of $75. Including a 7 percent sales tax, what is the final cost of the DVD player?

Answers

The total tax is $1.26

Answer: its going to be 3 dollars and 67 cents

Step-by-step explanation:

Find the measure of one interior angle for the following regular polygon​

Answers

Answer:

120

Step-by-step explanation:

All the interior angles in a regular hexagon are 120 degrees.

Bond and DePaulo (2006) analyzed the results from 384 studies that tested the lie-detecting ability of more than 24,000 people and found that: Group of answer choices about 50% of people are especially clairvoyant and able to discern truths from lies. the accuracy rate of most people is barely above the 50% guessing level. most people can rather accurately guess whether they are told the truth or a lie. training people can substantially increase their lie-detecting ability.

Answers

Answer:

B: the accuracy rate of most people is barely above the 50% guessing level

Step-by-step explanation:

Bond and DePaul carried out a research and analysis on the accuracy of deception judgments in 2016.

This research involved synthesizing of results gotten from 206 research documents as well as a total of 24483 judges.

In this research and analysis, there were a couple of discoveries when people tried to discriminate lies from the truth and these discoveries include; average percentage of correct lie-truth judgments, percentage of those who correctly classified lies as deception and also percentage of those who classified truths as non-deceptive e.t.c. In conclusion, part of their discoveries was that the accuracy rate of most people is barely above the 50% guessing level.

This corresponds to option B.

Given that 3=a+r/a-r,make r the subject of the formula?​

Answers

Answer:

Step-by-step explanation:

[tex]3=\frac{a+r}{a-r} \\3a-3r=a+r\\3a-a=r+3r\\4r=2a\\r=\frac{1}{2} a[/tex]

Determine whether the statement below is true or false diam is a rhombus

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

it has all the properties matching with a rhombus

answer from gauthmath

Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula.

Answers

The Euler's formula relates the vertices, faces and the edges of a polyhedron.

The correct option is (e) [tex]V = 6[/tex]    [tex]E = 10[/tex]    [tex]F = 6[/tex]     [tex]6- 10 + 6 = 2[/tex]

First, we count the number of faces. This is the flat parts of the shape.

The attached shape has 6 flat surfaces.

So:

[tex]F = 6[/tex]

Next, we count the number of edges. This is where two faces meet.

The attached shape has 10 edges;

So:

[tex]E = 10[/tex]

Lastly, we count the number of vertices. This is where two edges meet.

The attached shape has 6 vertices.

So:

[tex]V = 6[/tex]

Using Euler's formula, we have:

[tex]V - E + F = 2[/tex]

Substitute values for V, E and F

[tex]6- 10 + 6 = 2[/tex]

[tex]2 = 2[/tex]

Hence, the polyhedron has 6 vertices, 10 edges and 6 faces

Read more vertices, edges, and faces at:

https://brainly.com/question/23347978

Find the area of the shaded region.

Answers

Answer:

pi × 18cm^2

Or approximately,

56.52cm^2 (using 3.14 for pi)

or

56.5487cm^2 (using pi button on calculator)

Step-by-step explanation:

Area of a circle is pi times [radius squared].

All circles are 360°.

Problem can be solved by finding area of whole circle, and then using ratios.

Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2

80° / 360° = Area[shaded] / (pi × 81cm^2)

pi × 18cm^2 = Area[shaded]

((If you read my answer before the edit, I am sorry. I made a calculator error.))

What is the nineteenth term of an arithmetic sequence with first term 9 and common difference 5?

Answers

Answer:

The 19th term is 99.

Step-by-step explanation:

We can write a direct formula and use it to find the 19th term. Recall that the direct formula for an arithmetic sequence is given by:

[tex]x_n = a + d(n-1)[/tex]

Where a is the initial term and d is the common difference.

Since the first term is 9 and the common difference is 5:

[tex]\displaystyle x _ n = 9+5(n-1)[/tex]

To find the 19th term, let n = 19. Thus:

[tex]x_{19} = 9+5(19-1)[/tex]

And evaluate:

[tex]\displaystyle \begin{aligned} x_{19} &= 9+5(18) \\ &= 9+90 \\ &= 99\end{aligned}[/tex]

The 19th term is 99.

helpp me solve it and pls explain

tyyy

Answers

Answer:

2=124  124/2

4=248 248/4

5=310 310/5

8=496 496/8

Step-by-step explanation:

40 + 22 = 62

62 x 2 = 124

62 x 4 = 248

62 x 5 = 310

62 x 8 = 496

i think

757divide 100=to in hours and minutes

Answers

Answer:

Step-by-step explanation:

757 minutes = 12 hours 37 minutes

|Area of a square field is 617796cm² . Find length of its each side.

Answers

Answer:

length of its each side is 786 cm

Step-by-step explanation:

l² = 617796cm²

l = √617796

l = 786cm

Answer:

[tex]area \: of \: square = {l}^{2} [/tex]

[tex]617796 = {l}^{2} [/tex]

[tex] \sqrt{617796 } = l[/tex]

[tex]786 = l[/tex]

therefore ,l=786cm

Find the area of the figure.

Answers

we observe that this figure could be divided into a triangle and a rectangle.

for the area of the triangle, bxh/2, we have 15 x 12/2 = 90

and for the rectangle, we have 5 x 12 = 60

so, 90 + 60 = 150

hope it helps :)

ONLY ANSWER IF YOU KNOW, SHOW WORK

Answers

Answer:

hello,

Step-by-step explanation:

[tex]cos(3\theta)+cos(4\theta)\\\\=2*cos(\dfrac{4\theta+3\theta}{2} )*cos(\dfrac{4\theta-3\theta}{2} )\\\\\boxed{=2*cos(\dfrac{7\theta}{2} )*cos(\dfrac{\theta}{2} )}[/tex]

Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool.(We assume that all large pumps are similar and all small pumps are also similar.)

if u get this right i will mark brainliest

Answers

Let x and y be the unit rates at which one large pump and one small pump works, respectively.

Two large/one small operate at a unit rate of

(1 pool)/(4 hours) = 0.25 pool/hour

so that

2x + y = 0.25

One large/three small operate at the same rate,

(1 pool)/(4 hours) = 0.25 pool/hour

x + 3y = 0.25

Solve for x and y. We have

y = 0.25 - 2x   ==>   x + 3 (0.25 - 2x) = 0.25

==>   x + 0.75 - 6x = 0.25

==>   5x = 0.5

==>   x = 0.1

==>   y = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05

In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.

Now, if you have four each of the large and small pumps, they will work at a rate of

4x + 4y = 4 (0.1) + 4 (0.05) = 0.6

meaning they can fill 3/5 of a pool in one hour. If it takes time t to fill one pool, we have

(3/5 pool/hour) (t hours) = 1 pool

==>   t = (1 pool) / (3/5 pool/hour) = 5/3 hours

So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.

Could someone please help me?

Answers

Answer:

ab=9 and ac=12

Step-by-step explanation:

There are 38 chocolates in a box, all identically shaped. There are 8 filled with nuts, 16 with caramel, and 14 are solid chocolate. You randomly select one piece, eat it and then select a second piece. Find the probability of selecting 2 solid chocolate in a row

Answers

Answer:

0.1294

Step-by-step explanation:

Number of chocolates in box = 38

Number of nuts = 8

Number of caramel = 16

Number of solid chocolate = 14

Since 2 are selected in a row and not replaced, then;

Probability of first being solid chocolate = 14/38

Probability of second being solid chocolate after first one = 13/37

Thus;

P(2 selected in a row being solid chocolate) = 14/38 × 13/37 = 0.1294

The value of n from the set {6, 7, 8, 9} that holds true for 4n − 12 < 2n + 2 is .

Answers

Answer:

6

Step-by-step explanation:

4n - 12 < 2n + 2 is for n=6

4×6 -12 < 2×6 +2

24 - 12 < 12 + 2

12 < 14 correct

for n=7

4×7 - 12 < 2×7 + 2

16 < 16 incorrect

for n=8

4×8 - 12 < 2×8 + 2

20 < 18 incorrect

for n=9

4×9 - 12 < 2×9 + 2

24 < 20 incorrect

so, only for n=6 is the expression true.

Answer:

6

Step-by-step explanation:

4n - 12 < 2n + 2 is for n=6

4×6 -12 < 2×6 +2

24 - 12 < 12 + 2

12 < 14 correct

for n=7

4×7 - 12 < 2×7 + 2

16 < 16 incorrect

for n=8

4×8 - 12 < 2×8 + 2

20 < 18 incorrect

for n=9

4×9 - 12 < 2×9 + 2

24 < 20 incorrect

so, only for n=6 is the expression true.Step-by-step explanation:

Help ME PLS IM FAILING PYTHAGOREAN THEOREM I NEED HELP NOW

Answers

Answer:

3.9

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse

7^2 + h^2 = 8^2

49 + h^2 = 64

h^2 = 64-49

h^2 = 15

Taking the square root of each side

sqrt(h^2) = sqrt(15)

h = 3.87298

To the nearest tenth

h = 3.9

make g the subject 4m+2g=p​

Answers

Answer:

g = (p - 4m)/2

Step-by-step explanation:

Make g the subject means solve for g:

4m + 2g = p2g = p - 4mg = (p - 4m)/2

PLEASE DO THIS ASAP!
NO LINKS!

Answers

Answer:

x =6

Step-by-step explanation:

5(x-2) = 14+x

Distribute

5x-10 = 14+x

Subtract x from each side

5x-x -10 = 14+x-x

4x-10 = 14

Add 10 to each side

4x-10+10 = 14+10

4x= 24

Divide by 4

4x/4 = 24/4

x =6

Answer:

5(×-2)=14+×

5x-10=14+x

5x-x=14+10

4x=24

x=6

please someone help me! asap!!

Answers

Answer:

Last option= 30 minutes

(08.05, 08.06 MC)
Part A: The area of a square is (16x2 - 8x + 1) square units. Determine the length of each side of th
square by factoring the area expression completely. Show your work. (5 points)

Answers

A=16x²-8x+1

16x²-8x+1=l²

(16x²-4x)-(4x+1)=l²

4x(4x-1)-1(4x-1)=l²

x=1/4 or 1

Therefore

since x=1/4

l²=1/4=>l=>√(1/4)

l=1/2

since x=1

l²=1=>l=>√1

l=1

Therefore the length of each sides

1 or 1/2

PLS HELP ME ASAP!!!!

Answers

The y row changes by 3 each spot. The x row changed by 4 each spot. So the slope is 3/4x.

Given right triangle ABC, what is the value of tan (A)

O 5/13
O 12/13
O 12/5
O 13/12

Answers

Answer:

12/5

Step-by-step explanation:

Recall that trig function tan = opposite / adjacent

Find tan A

Opposite side of angle A = 24

Adjacent of A = 10

Tan (A) = 24/10

24/10 can be simplified to 12/5

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Tan is equal to [tex]\frac{opposite}{adjacent}[/tex]. The side opposite to angle A is BC while the side adjacent to it is AC. This means tan(A) is [tex]\frac{BC}{AC}[/tex]. It is given that BC is 24 and AC is 10, so we can substitute those values in and simplify:

tan(A) = [tex]\frac{24}{10} = \frac{12}{5}[/tex]

What is the degree of this polynomial?

5 + 2s

Answers

Answer:  1

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

Explanation:

We can rewrite 5 as 5s^0, since s^0 = 1 where s is nonzero.

Think of 2s as 2s^1

With those ideas in mind, the original polynomial turns into 5s^0 + 2s^1

Sorting the terms so that the largest exponent is first gets us the standard form 2s^1 + 5s^0

The largest exponent is the degree, so the degree is 1.

Side note: This trick only works for single variable polynomials.

A group of rowdy teenagers near a wind turbine decide to place a pair of
pink shorts on the tip of one blade. They notice that the shorts are at its
maximum height of 16 metres at t = 10 s and its minimum height of 2 metres at
t = 25 s.

a) Determine the equation of the sinusoidal function that describes
the height of the shorts in terms of time.

b) Determine the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a metre.

Answers

Answer:

a) Sinusoidal functions are y = a sin [b(x-h)] + k    (or)                                        

y = a cos [b(x-h)] + k

Where a is amplitude a= (max-min)/2=(16-2)/2=7

period p= 2π/b

            b=2π/30

            Horizontal transformation to 10 units right h=10

            k= (max+min)/2=(16+2)/2=9

h = 7 cos [π/15(t-10)]+ 9

b) t=10min=600 sec

substitue in the above equation

h=5.5m

Which of these triangle pairs can be mapped to each other using a single translation?

Answers

It would be the first pair of triangles because it can perform a counterclockwise rotation. Hope this helps, it’s pretty trippy.
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