1. Find the number which consists of 3 digits and the sum of the three digits is 10. The middle
digit is equal to the sum of the other two and the number will be increased by 99 if its
digits are reversed.

Answers

Answer 1

Step-by-step explanation:

Let x,y,z be the 3 digits of the no. in that order. It is given, x+y+z =10 …..(1)

y=x+z

Substituting the value of y in 1

x+x+z+z=10

2x+2z=10

x+z=5…….(2)

100x+10y+z+99=100z+10y+x

99x+99=99z

x+1=z…..(3)

Substituting the value z in 2

x+x+1==5

2x=4

x=2

Substituting the value of x in 3

z=3

y=5

Si the no. is 253

Answer 2

Answer:

253

Step-by-step explanation:

Let he the number be xyz

Since we are given that the sum of the digits is 10

So,   ---1

Now we are given that The middle digit is equal to the sum of the other two

So,   --2

Now we are given that the number will be increased by 99 if its digits are reversed.

⇒  --3

Substitute the value of x in 2

Substitute the value of x and y in 1

Substitute the value of z in 3

Substitute the value of z and x in 1

[tex]y=5/tex]

Thus the number is xyz=253

Hence the number is 253


Related Questions


y=7X+1
Identify the slope of the following equation in slope intercept form
Type your answer...

Answers

Answer:

The slope is 7

Step-by-step explanation:

y =mx + b

m = slope

b = y intercept

The slope is 7 y= mx+b

Tiyauna works at a beauty salon. Last month she received an average tip of $9 from her 88
clients. What was her tip income for the month?

Answers

Answer:

$792 is her total tip income for the month.

Step-by-step explanation:

If there are 88 clients, and each client gives an average tip of $9, we would multiply the two to get the total tip income for the month.

88x9 = 792

Answer:

$792

Step-by-step explanation:

Multiply the average tip amount ($9/client) by the number of clients (88) to obtain this person's tip income for the month:

($9/client)(88 clients) =  $792

Amanda is going to build some large wooden storage boxes. The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of each box with special wallpaper. If she has a total of of wallpaper, how many boxes can she cover?

Answers

The number of boxes that Amanda can cover with W square inches of wallpaper will be equal to W/2(lw + lh + wh).

Let's assume that Amanda wants to build n wooden storage boxes. All of these boxes are shaped like rectangular prisms, as shown in the image below.

She wants to cover all the sides of each box with special wallpaper. If she has a total of W square inches of wallpaper, we need to find out how many boxes she can cover. Let's solve this problem mathematically.

Mathematical Solution:

Each rectangular prism has six sides (faces). If we want to cover all the six sides of a rectangular prism with special wallpaper, we need to find the total surface area of that rectangular prism. Therefore, the surface area of each rectangular prism can be calculated by the formula:

Surface Area = 2lw + 2lh + 2wh,

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

We know that Amanda has W square inches of wallpaper to cover all the boxes. Therefore, the total surface area of n boxes will be:

n × Surface Area = W.

Substituting the value of the Surface Area, we have:

n × (2lw + 2lh + 2wh) = W

2n(lw + lh + wh) = W

n(lw + lh + wh) = W/2

n = W/2(lw + lh + wh).

To learn more about : number

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Which letter represents the location of the resister in this
diagram?
OA
OB
OC
OD
20 pts help ASAP please

Answers

Answer:

D

Step-by-step explanation:

A resistor in a circuit is represented by a ' zig- zag' line

this is the resistor at D

Does anyone know the answer to this ?

Answers

He can change (1x10) to (8x1)

The rental company charged a flat flee of $35.50 plus 15 cent per mile

Answers

Answer: 35.50+15x

Step-by-step explanation:

U start with the original 35.50 fee then the 15 cent fee is reoccurring which means u would add a variable to it. Hope this helps make brainliest and like and rate plz!

Grayson's car used 2 gallons to travel 30 miles. How far can he travel on 3 gallons?

Answers

Answer:

x = 45 miles

Step-by-step explanation:

We can use ratios to solve

2 gallons       3 gallons

--------------  = --------------

30 miles        x miles

Using cross products

2x = 3*30

2x = 90

Divide by 2

2x/2 = 90/2

x = 45 miles

Answer:

He can travel 45 miles with 3 gallons

Step-by-step explanation:

If he traveled 30 miles with 2 gallons then that would mean each gallon lasted 15 miles, 30/2=15, therefore if there were 3 gallons he would travel 45 miles, 45/3=15

Part D
If the vertical length is 10, what is the horizontal length?

Answers

Answer: Its 10 because its congrugent.

Step-by-step explanation:

Answer:

5 Because in the graph it shows

Step-by-step explanation:

Because vertical is up and down so in the graph it shows that the purple section up and down is taking up 2 sections 10/2=5  and this means that one section is 5 units so the answer would be:

5 units

The following table represents the altitude of a hiker climbing in Mountain over a 60 minute hike. Calculate the average rate of change over the interval from 0 to 30 minutes.
A: The rate of change is about 90 feet per minute.
B: The rate of change is about 3 feet per minute.
C: The rate of change is about 2 feet per minute.
D: The rate of change is about 30 feet per minute.

Answers

Answer:

The correct answer is B. The rate of change is about 3 feet per minute

I hope this helped!

Answer:

B. The rate of change is about 3 feet per minute

Step-by-step explanation:

:)

Jared made strawberry jam and raspberry jam. He made enough strawberry jam to fill 4 5/6 jars. If he made 4/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
PLEASE HELP
WILL MARK FIRST ANSWER BRAINLEST

Answers

Answer: 3.8 jars or 3 13/15

Step-by-step explanation:

please answer both for 50 points

Answers

Step-by-step explanation:

This question can't be answered......
it will be not answerable

i

pic is not cleared

Find the midpoint of the line segment joining the points ​R(-3​,3​) and ​S(5​,6​).

Answers

Hey the answer is "The midpoint (x_m,y_m) of a line segment with endpoints (x_1,y_1) and (x_2,y_2) is the point with following coordinates (x_m,y_m)=((x_1+x_2)/2, (y_1+y_2)/2)"

Complete the following sentences based on the graph.

Answers

This is the graph of a quadratic function.

The y-intercept of the graph is the function value y = 0.

The x-intercepts of the graph (in order from least to greatest) are located at x = 0 and x = 6.

The greatest value of y is y = 9.

For x between x = 0 and x = 6, the function value y > 0.

What is the graph of a quadratic function?

In Mathematics, the graph of a quadratic function always form a parabolic curve or arc because it is u-shaped. Based on the graph of this quadratic function, we can logically deduce that the graph is a downward parabola because the coefficient of x² is negative and the value of "a" is greater than zero (0).

The y-intercept of the graph is represented by (0, 0) and the x-intercepts of the graph listed in order from least to greatest are located at the following points;

x = 0 ⇒ (0, 0)

x = 6 ⇒ (0, 6).

The greatest value or vertex (maximum value) of y is at y = 9. For x between x = 0 and x = 6, the function value y is always greater than 0.

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Hello can someone help me out on this, please

Answers

Answer:

billy has 5 trucks, billy gets 5 taken away.

there are 2 oranges in the store, someone buys them.

Step-by-step explanation:

Find the value of X in each of the following proportions.
6/20 = X/10

Answers

Answer: x = 3

Step-by-step explanation:

True or False: 0 is a solution to 2x + 10 = 4x + 10

Answers

Answer:

Yes

Step-by-step explanation:

2x + 10 = 4x + 10

2(0) + 10 = 4(0) + 10

0 + 10 = 0 + 10

10 = 10

Best of Luck!

Answer:

True

Step-by-step explanation:

Solution to 2x + 10 = 4x + 10

2x + 10 = 4x + 102x = 4x2x = 0x = 0

Answer is True

solve the equations
5x-8y=14
5x-7y=6

Answers

Answer:

In the explanation. :)

Step-by-step explanation:

{x,y}={2,3}

Hope this helps. Have a great day!

Answer:

x = -10, y = -8

Step-by-step explanation:

We will use the method of elimination to find y.

Step 1: 5x - 8y = 14

          -

           5x - 7y = 6

Step 2:  0x - y = 8

Step 3: y = -8

Now, we have to substitute the y value into one of the original equations. In this case we will use the first equation which is 5x - 8y = 14.

5x - 8(-8) = 14

5x + 64 = 14

5x = - 50

x = -10

Just to make sure we have the right values, we will substitute both values into one of the equations.

5(-10) - 7(-8) = 6

-50 + 56 = 6

6 = 6           True

5(-10) - 8(-8) = 14

-50 + 64 = 14

14 = 14         True

Both of these values work, so they are the answers.

Hope this helps!

f(x) = -22 - 72-5

Find f(-5)

Answers

Answer:

f(-5) = 5

Step-by-step explanation:

Step 1: Define

f(x) = -x² - 7x - 5

f(-5) is x = -5

Step 2: Substitute and Evaluate

f(-5) = -(-5)² - 7(-5) - 5

f(-5) = -25 + 35 - 5

f(-5) = -25 + 30

f(-5) = 5

Exponential Function:

Given the following functions, a table of values must be made, the sketch of the function, indicate the domain, route and if the function is increasing or decreasing:
(minimum evaluate 6 values ​​per function for both tables and graph)

[tex]f(x) = 5 * 2^{x}\\\\f(x) = 2 * (\frac{1}{3})^x\\\\f(x) = -1 * 2^{x}[/tex]

Answers

Answer:

See below and attached

Step-by-step explanation:

Given functions

1. f(x) = 5*2ˣ

The graph and table of values attachedDomain is all real numbersRange is: (0, +oo)Function is increasing

2. f(x) = 2*(1/3)ˣ

The graph and table of values attachedDomain is all real numbersRange is: (0, +oo)Function is decreasing

3. f(x) = -1*2ˣ

The graph and table of values attachedDomain is all real numbersRange is: (-oo, 0)Function is decreasing

The answer is the first option.

billy is taking a five-question true/false test. he did not study. he is going to guess on every question. how many different ways could billy fill out the test? for example one way to guess is f, f, t, t, t, and another guess would be t, t, f, f, f. determine all the possibilities and state how many exist.

Answers

Answer:

almost an infinite amount, here are just a few.

Step-by-step explanation:

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tftft

ftftf

ffttf

ttfft

ffftf

tttft

How would I find the missing angle

Answers

Answer:

∅ = 16.2602°

Step-by-step explanation:

cos∅ = adjacent / hypotenuse

Since we are dealing with right triangles, we can use trigonometry to help us solve for the missing angle.

cos∅ = 24/25

∅ = cos⁻¹(24/25)

∅ = 16.2602°

Question is in the picture

Answers

Answer:

[tex]\huge\boxed{\sf x = 64 \ words}[/tex]

Step-by-step explanation:

Given that,

Memorized words = 16

These memorized words are 1/4 of the list.

Let the total words be x.

So,

[tex]\displaystyle \frac{1}{4} \ of \ the \ total \ words = 16[/tex]

Key: "of" means "to multiply" and total words = x

[tex]\displaystyle \frac{1}{4} \times x = 16\\\\Multiply \ both \ sides \ by \ 4\\\\1 \times x = 16 \times 4\\\\x = 64 \ words\\\\\rule[225]{225}{2}[/tex]

determine if the figures below are similar. if they are, identify the similarity statement.​

Answers

Answer:

Yes the are similar, they are similar because they have the same angles. They are the same shape as each other, just dilated.

Find the distance between the points (-1,6) and (5,6)​

Answers

Answer:

6

Step-by-step explanation:

Input Data :

Point 1  ( x A , y A )  = (-1, 6)

Point 2  ( x B, y B )  = (5, 6)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points =  √ ( x B − x A ) 2 + ( yB −y A ) 2

Solution :

Distance between two points =  √ ( 5 −  − 1 ) 2 + ( 6 − 6 ) 2

=  √ 6 ^2 +0^ 2

=  √ 36 + 0

=  √ 36 = 6

Distance between points (-1, 6) and (5, 6) is 6

What is the GCF of 54 and 64

Answers

Answer:

1,2,3,6,9,18,27,54 is 54, 1,2,4,8,16,32,64 is 64

Step-by-step explanation:

learn di divide geez

If 17 out of 30 sixth
grade students surveyed
have a sibling at CMS
then how many of the 300
sixth grade students have
a sibling?

Answers

Answer:

170

Step-by-step explanation:

Answer:

170

Step-by-step explanation:

To get to 300 from 30 you multiply by ten, so you also want to multiply 17 by ten.

A special shape is 2.02m x 1.22m long. A row of double tiles is needed to make a border. Each tile is 2cm x 2cm. How many tiles are needed to make the border?

Answers

Answer:

6161 tiles

Step-by-step explanation:

1 m = 100 cm

2.02 m x 1.22 m = 246.44

=246.44 x 100

=24644 cm

2cm x 2cm = 4 cm

4cm= 1 tile

24644cm divided 4cm

=6161

=6161 to make border

Jenny wants to earn $1,300 by the end of the summer. If Jenny earned $127.05 babysitting in one week, how much more money will she need to earn to meet her goal?

Answers

Answer:

she will need $1,172.95

Step-by-step explanation:

If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h= -9.8t^2 + 107.8t. During what interval of time will the rocket be higher than 294m ?

Answers

Answer:

[tex]5<t<6\\(5,6)[/tex]

Step-by-step explanation:

We know that the function of the height of a rocket after t seconds is:

[tex]h(t)=-9.8t^2+107.8t[/tex]

We want to find the interval of time such that the rocket is higher than 294 meters.

So, substitute 294 for h(t) and solve for t:

[tex]294=-9.8t^2+107.8t[/tex]

Just as it happens, everything is divisible by -9.8. So, divide everything by -9.8. This yields:

[tex]-30=t^2-11t[/tex]

Add 30 to both sides:

[tex]t^2-11t+30=0[/tex]

Factor. We can use -6 and -5. So:

[tex](t-6)(t-5)=0[/tex]

Zero Product Property:

[tex]t-6=0\text{ or } t-5=0[/tex]

Solve for each equation:

[tex]t=6\text{ or } t=5[/tex]

So, our answers are 5 seconds and 6 seconds.

Therefore, between the fifth and sixth second, the rocket is higher than 294 meters.

Note that at exactly the fifth and sixth second, our height is exactly 294 meters, not higher.

Therefore, we won't include 5 and 6 in our solution set.

As an inequality, this is:

[tex]5<t<6[/tex]

In interval notation, this is:

[tex](5,6)[/tex]

And we're done!

Plzzzzzzzz help right answer gets brainly

Answers

.................................

Answer:

17

Step-by-step explanation:

because the mode is the number the appeared the most

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