anced
d
15. A two-digit positive number is such that the ones
digit is 2.5 times as much as the tens digit. If the
difference between the number and the number
obtained when the digits are reversed is 27, find
the number.

Answers

Answer 1

Answer:

The number is 52 or 25.

Step-by-step explanation:

The photo has the full solution

Ancedd15. A Two-digit Positive Number Is Such That The Onesdigit Is 2.5 Times As Much As The Tens Digit.
Answer 2

The number, when A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit, is 25.

What is the equation?

In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit,

Write the equations of the statement as shown below,

Assume the one's digit is x and the ten's digit is y then,

x = 2.5y

(10y + x) - (10x + y) = 27

Solve the above equation and find the value of x and y,

10y + x - 10x - y  = 27

-9x + 9y = 27

-x + y = 3

-2.5y + y = 3   (Plug value of x)

-1.5y = 3

y =  2

x = 2.5 × 2

x = 5

Number = 2 × 10 + 5 = 25

Thus, the number is 25.

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Related Questions

What is the solution to the equation below round your answer to two decimal decimal places log4 x=2.1
A. x=8.40
B. x=18.38
C. x=8.17
D. x=19.45

Answers

Answer:

B

Step-by-step explanation:

log4x = 2.1

logx/log4 = 2.1

logx = log(4) x 2.1

logx = 1.264

x = 10^(1.264)

x = 18.38 (to two d.p)

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards
greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 155
square yards. The situation is modeled by the equation h2 + 5h 155. Use the Quadratic Formula to find the
height that will give the desired area. Round to the nearest hundredth of a yard.
320 yards
c. 20.4 yards
b. 10.2 yards
d. 12.7 yards
a.

Answers

9514 1404 393

Answer:

  b.  10.2 yards

Step-by-step explanation:

The quadratic formula tells you the solutions to ...

  ax² +bx +c = 0

are given by ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Here, the quadratic equation we have is ...

  h² +5h -155 = 0

So the solutions given by the quadratic formula are ...

  [tex]h=\dfrac{-5\pm\sqrt{5^2-4(1)(-155)}}{2(1)}=\dfrac{-5\pm\sqrt{645}}{2}=\{-15.2,10.2\}[/tex]

The negative solution is not applicable in this situation, so the height that gives the desired area is 10.2 yards.

2. The perimeter of a rectangular board is 24 cm. If its length is 9 cm and its width is one
third of its length, what is its width?

please answer this i follow and like and rate​

Answers

TktJe viens de Lille
The width would be 3


PLEASE HELP ASAP!!
Which statement describes the behavior of the function
around the vertical asymptotes?

Answers

Answer: B

Step-by-step explanation: if you look from both sides u can see it adds up + i got it right on edg:)

The statement describes the behavior of the function around the vertical asymptotes is B.

We have given the graph,

We have to determine which statement describes the behavior of the function around the vertical asymptotes.

What is the vertical asymptotes?

A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.

If you look from both sides of the graphs you can see it adds upward.

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Find the probability of getting heads 2 times in a row, then rolling a 6 sided die and getting
either a 1 or 6.

Answers

Answer:

1/12

Step-by-step explanation:

The probability of rolling a die and landing it on heads is 1/2 percent. Flipping the coin another time and landing it on heads is 1/4 percent because you need to multiply when doing probabilities, so 1/2 times 1/2 equals 1/4.

Now moving on, rolling a 6 sided die and getting either a 1 or 6 is 1/3 percent because 1 and 6 are two different numbers you can roll so it's 2/6, and when it's simplified, it's 1/3.

After doing that, to find the probability of the whole equation, you would need to multiply 1/4 times 1/3 which would give you 1/12 as your answer.

223.6 x 0.0048 rough checks​

Answers

Answer:

1.07328

Step-by-step explanation:

223.6 x 0.0048=1.07328

The two-way frequency table below shows the results taken from a survey of 500 randomly selected
adults aged 25 to 49. They were surveyed on their preference between two brands of pasta sauces. In
another survey of people aged 25-49, a total of 400 people preferred Sauce B. Based on the data
below, how many of those 400 people would be expected to be age 40-44?

Answers

Answer:242

Step-by-step explanation:

bc you have 25 to49 adults divide and subtracts & you get 242 , hope this helps !

83 people out of 400 people would be expected to be age 40-44.

What is probability?

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

As, 400 people choose sauce B.

In the given table there 302 people who choose sauce B, in which 63 people belongs to group 40-44

So, 63/302= x/400

302*x=63*400

x=83.

Hence, 83 people out of 400 belongs to group 40-44 who choose sauce B.

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[2x(3+5)+6]x4 what is the value of this expression

Answers

Answer:

16x5+6x4

Step-by-step explanation:

(2x(3+5)+6)(x4)

=(2x(3+5)+6)(x4)

=(2x(3+5))(x4)+(6)(x4)

=16x5+6x4

Answer:

88

Step-by-step explanation:

to solve these kind of questions use BODMAS

evaluate -3x³-4x for x=-1​

Answers

Answer:

7

Step-by-step explanation:

Sub -1 in for each x:

-3x³-4x

-3(-1)³-4(-1)

-3(-1)+4

3+4

7

The answer is to your question is 7

what is a name for the angle below do not include

Answers

Answer:

see below

Step-by-step explanation:

There are several ways to name the angle

They all must include the vertex

ABC

CBA

B

Answer:

abc

Step-by-step explanation:

Do you think this fish is a gram or kilogram ??

Answers

Where is the image?

17521 rounded to the significant figure

Answers

Hello! Your answer will be 17521. If you have any more questions or if I interpreted the answer wrong and you need a new one, let me know!

Is either x = 8 or x = 10 a solution to 5x < 52?
A. x = 8 is a solution, but x = 10 is not.
B. Neither is a solution.
O C. x = 10 is a solution, but x = 8 is not.
D. They are both solutions.

Answers

Answer:

B. neither of them are solutions

Which of the following angles is NOT congruent to 6?
3
2
7
1

Answers

Answer:

1

Step-by-step explanation:

We can see that 7 is equal to 6, as opposite angles are the same.

We can also see that 2 is also 6, as corresponding angles are equivalent.

Therefore, 3 is also congruent to 6, as it is equal to 2.

Hope that this helps!

What is the correct answer I will mark brainlist

Answers

Answer:

3rd

Step-by-step explanation:

MARK AS BRAINLEST!!

The correct answer is C $87.73

In order to set​ rates, an insurance company is trying to estimate the number of sick days that full time workers at an auto repair shop take per year. A previous study indicated that the population standard deviation is 2.8 days. How large a sample must be selected if the company wants to be​ 95% confident that the true mean differs from the sample mean by no more than 1​ day?
A. 512
B. 1024
C. 141
D. 31

Answers

Answer:

D. 31

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

A previous study indicated that the population standard deviation is 2.8 days.

This means that [tex]\sigma = 2.8[/tex]

How large a sample must be selected if the company wants to be​ 95% confident that the true mean differs from the sample mean by no more than 1​ day?

This is n for which M = 1. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1 = 1.96\frac{2.8}{\sqrt{n}}[/tex]

[tex]\sqrt{n} = 1.96*2.8[/tex]

[tex](\sqrt{n})^2 = (1.96*2.8)^2[/tex]

[tex]n = 30.12[/tex]

Rounding up, at least 31 people are needed, and the correct answer is given by option D.

What is the midpoint of the line with endpoints (3,-2) and (-3,6)

Answers

(0, 2)

Step-by-step explanation:

The coordinates of the midpoint of a line segment is given by

[(x2 + x1)/2 , (y2 + y1)/2]

Let P1 = (3, -2) and P2 = (-3, 6)

x-coordinate:

(1/2)(x2 + x1) = (1/2)[(-3) + 3] = 0

y-coordinate:

(1/2)(y2 + y1) = (1/2)[6 + (-2)] = 2

Therefore, the coordinates of the midpoint whose endpoints are (3, -2) and (-3, 6) are

(0, 2)

A roll of tissue paper towels has the given dimensions. Determine, to the nearest hundred, the volume of the roll

Answers

*see attachement for the diagram of the tissue paper

Answer:

Volume of the roll = 3,817.04 cm³

Step-by-step explanation:

The diagram of the roll of the tissue paper given is a model of two cylinders:

✔️Bigger cylinder with diameter (d) of 14 cm and height of 27 cm

✔️ Smaller/inner cylinder with diameter (d) of 4 cm and height of 27 cm

Thus:

The Volume of the roll = volume of bigger cylinder - volume of smaller cylinder

✔️Volume of bigger cylinder = πr²h

r = ½(14) = 7 cm

h = 27 cm

Volume of bigger cylinder = π*7²*27

= 4156.33 cm³

✔️Volume of smaller/inner cylinder = πr²h

r = ½(4) = 2 cm

h = 27 cm

Volume of smaller/inner cylinder = π*2²*27

= 339.29 cm³

✅The Volume of the roll = 4156.33 - 339.29 = 3,817.04 cm³

What is the area of the figure?
7 in
Bin.
in
16 m

Answers

Answer:

112

Step-by-step explanation:\

Formula for Area- A(AREA)=L(LENGTH) times W(WIDTH)

If we follow this and plug in the Numbers we get the equasion- A=7x16

And so we solve and get the answer 112

hope this helped have a great day :3 (brainliest pls i need one more )

I NEED HELPPPPPPPP!!!!!!!!!!

Answers

Answer:

the second one is the largest

Step-by-step explanation:

Paul can build a desk in 12
hours. Shawn can build the
same desk in 8 hours. How
long would it take them to
build it together?
[?] minutes

Answers

Answer:

288

Step-by-step explanation:

First, find how much of the desk each person can finish in 1 hour. Paul can finish 1/12 because he finishes the whole thing in 12 hours and Shawn can finish 1/8 because he finishes the whole thing in 8 hours.

Then find a common denominator and add those together to find how much they could do together in 1 hour.

2/24 + 3/24 = 5/24 So they can finish 5/24 of the desk in 1 hour if they work together.

So to finish 24/24 of the desk, they'll need to do 4 hours (20/24 of the desk) and 48 minutes (4/24 of the desk)

It asked for the number of minutes, so multiply 4 by 60 and add 48 to find the total number of minutes. 4*60 = 240 and 240 + 48 = 288

So it will take them 288 minutes to build the desk together.

I WILL MARK BRAINLIEST
DO NOT GUESS OR ATTACH FILE OR I WILL REPORT
Mara spins this spinner and rolls one six-sided die. What is the probability of spinning a 3 and rolling a 3 on the die?
(Photo above) Pls help ​

Answers

Answer:

2/12 if the spinner has 6 chooses. I think sorry if I'm wrong

Step-by-step explanation:

The Sine Function

The phrases of the Moon are periodic and repetitive. A new Moon occurs when no Moon is visible to an observer on Earth. During the first quarter, half of the side of the Moon facing the Earth is visible. During a full Moon the entire side of the Moon is Visible. During the last quarter the other half of the side of the Moon facing Earth is visible.

The U.S. Naval Observatory lists the following dates for phases of the Moon in the year 2008.

Using the information above, plot the data points. Does this data indicate that a sine regression may be appropriate in this case? Explain.

a. Yes, it shows repeated and periodic behavior.
b. Yes, it shows a curve increasing from left to right.
c. No, the points are random.
d. No, the points depict a parabola.

Please select the best answer from the choices provided

Answers

Answer:

A. Yes, it show repeated and periodic behavior.

Step-by-step explanation:

I calculated it logically

Help !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

only one of the side is a 4 so the answer is 6/6 -1/6=5/6

6/6-1/6=5/6 hope this helped

Four times the difference of a number and 16.

Answers

Answer:

C

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZ

help im giving brainliest to the person who helps me with both questions! :)

Answers

Answer:

1.)C

2.A

Step-by-step explanation:

If AC = 26, find BC.

Answers

Answer:

I think it's 20 or maybe 18 not sure.

HELP HELP HELP PLEASSSEEEE I NEED THE FULL EQUATION!! I WILL GIVE BRAINLY

Answers

Answer:

y=11/5x+1

Step-by-step explanation:

I am probably wrong :/

Answer:

y= -2/5x+1

Step-by-step explanation:

The slope of the line is -2/5 and the y intercept is 1.

A bag contains 56 marbles: 7 red, green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?

Answers

Answer:

8/56

Step-by-step explanation:

Add up all other marble colors then find the difference from the total.

Answer:

1/7

Step-by-step explanation:

there are 8 green marbles out of 56 so the probability would be 8/56 which simpliefies to 1/7 or 14.285714%

You spin a spinner that has 8 equal-sized sections numbered 1-8. Find each probability

Answers

Answer:

unlikely

Step-by-step explanation:

Answer:

1 to 7

Step-by-step explanation:

The probability of each landing on any of the numbers is 1 to 7

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