The ten's digit in a two-digit number is 1 greater than the one's digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number, results in the sum 187. Find this number.

Answers

Answer 1

Answer:

98

Step-by-step explanation:

Let's say the tens place is x and the ones place is y.

The tens place is one more than the one's place:

x = y + 1

Reversing the digits, plus the original number, is 187:

(10x + y) + (10y + x) = 187

11x + 11y = 187

x + y = 17

Substituting:

y + 1 + y = 17

2y = 16

y = 8

x = 9

The number is 98.

Answer 2
The answer is 98........

Related Questions

Please Help the question is below!!!

Answers

Answer:

A is right its acute angle

Step-by-step explanation:

because supplementary is 180

therefore A +B = 180

since we know A

B = 180- A

B = 73

which is an acute angle as its less than 90

pls mark me brainliest pls

Answer:

Step-by-step explanation:

(a) Acute

A=107 deg

B=?

given A+B=180

=> B=180-A

      = 180-107

      = 73

SO, B is an acute angle.

simplify the expression
[tex]8p + 10 + - 2p - 1 + 10[/tex]

Answers

Answer:

6p+19

Step-by-step explanation:

combine like terms:

8p+10+-2p+-1+10

(8p+-2p)+(10+-1+10)

6p+19

HOPE THIS HELPS!!!!!!:)

Need help combining like terms!! PLS

Answers

Answer:

1 - 9/7n

Explanation:

1/7 - 3(3/7n - 2/7)

distribute the 3 with the 2 fractions inside the parenthesis

1/7 - 9/7n + 6/7

add like terms (1/7 + 6/7)

7/7 - 9/7n

or

1 - 9/7n

Answer:

1 -9 sevenths n

step-by-step explanation:

A =3x2+4x+1,B=5x2−3x+8,C=4x2−7x−3, find the value of B + C –A.

Answers

Answer:

6x^2 - 14x + 4.

Step-by-step explanation:

5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)

=  5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1

= 6x^2 - 14x + 4.

question 9: consecutive angles in a parallelogram are___ A: cute B: congruent C: parallel D: Supplementary E: Convex

Answers

Answer:

Consecutive angles in a parallelogram are, D supplementary.

Step-by-step explanation:

Consecutive angles in a parallelogram will always sum to 180 degrees.

Answer:

Supplementary

Step-by-step explanation:

Correct answer in Ap3x. Just took the quiz.

1. George want to score at least a 90% on his math tests this quarter. So far his test scores are 88, 97 and
80. What does George need to score on his last test to average at least 90%?
Define variable:
Equation:
Solution:

check my work please! it’s number 1 :)

Answers

Answer:

Yes you are correct.

Step-by-step explanation:

The best way to check theese types of questions is go back in plug in X with your answer so 88+97+80+90(which is x)=360 then divide by 4 and get 90! So yes you are correct good job!

Isabella filled her pool with water at a constant rate. The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes).

Time (m) Remaining Volume (L)
4 148
6 112
8 76

What is the size of her pool?

Answers

Answer:

It was kinda hard to really understand your question but as of all the information that I received the answer is 220 liters

Step-by-step explanation:

Carla bought quail eggs for 10 cents each. She bought 42 eggs. How much did she pay for
the eggs?

Answers

Answer:

420 cents or $4.20

Step-by-step explanation:

if each egg is 10 cents then

U MULTIPLY 42*10=X

420=X

SO 420 CENTS OR 4.20$

HOPE I HELPED

CAN I GET BRAINLIEST PLS?

                 -ZYLYNN

Match each statement (term) with its value in relation to 0 (definition). Match Term Definition

Answers

Answer:

Step-by-step explanation:

a building is 35ft tall=35

the scuba diver was 35ft below sea level=-35

the basement is 7.6ft below ground=-7.6

oliver owes his sister $23=-23

erica jumped 2.3ft above ground=2.3

Answer:

a building is 35ft tall=35

the scuba diver was 35ft below sea level=-35

the basement is 7.6ft below ground=-7.6

oliver owes his sister $23=-23

erica jumped 2.3ft above ground=2.3

Step-by-step explanation:

15 POINTS!!!!!!!! How is a linear function affected when a constant is multiplied by x?

Answers

Answer:

The Y-intercept changes .

Step-by-step explanation:

Answer:

The y-intercept changes

Step-by-step explanation:

Hi. Please i need help with these questions ; 1. I spent 7/32 of my income housing , 1/4 of it on food and 1/8 of it on transport . What fraction of my income do i have left a . 7/32 b 9/32 c. 13/32 d. 15/32 e. 19/32 workings please

Answers

Answer:

C: 13/32

Step-by-step explanation:

Change 1/4 and 1/8 into 4/32 and 8/32 and add them up with the 7/32 and then subtract the top and you have your answer

Answer:

13/32 left over.

Step-by-step explanation:

First, you would want to convert the 1/4 and 1/8 to ?/32. You would get: 7/32 on housing, 8/32 on food, and 4/32 on transportation.

To get those numbers this is what you do: 1/4 was spent on food. 32 divided by 4 is 8. So that would be 8/32. I hope you understand, because I'm not that good at explaining!

Then you add those up: 7/32 + 8/32 + 4/32. You would get 19/32 as your total, which means you have 13/32 left over. I hope this helped!

There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities are there?

Answers

Answer:

190 possibilities.

Step-by-step explanation:

The problem is called 20 choose 2, given by the formula for combinations

C(20,2) = 20! / (2! (20-2)!) = 190

alternatively, we can reason it this way:

there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.

However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

Help me ASAP for this question the picture are the answers
If triangle BAT is similar to triangle ROD (ABAT AROD), which of the following statements is incorrect?

Answers

Answer:

I'm pretty sure it's the last one that is incorrect

Step-by-step explanation:

Answer:

The first one - “line segment TA is congruent to line segment DO” is incorrect

Step-by-step explanation:

Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.  

The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. The sum of the base angles is 140°. a. Find the length of the diagonal. b. Find the length of the shorter base. Round your answers to the nearest hundredth. show work please!

Answers

Answer:

Step-by-step explanation:

as the non parallel sides are equal and it is a trapezoid.∴ base angles are equal.each base angle=1/2×140=70°let the foot of perpendicular from end of shorter side is at distance x from nearest end of longer side.[tex]\frac{x}{7}=cos ~70\\x=7 \times cos~70 \approx 2.394\\2x \approx 4.788 \approx 4.79\\[/tex]shorter side=22-4.79=17.21 ftto find diagonal use cos formula[tex]cos ~70=\frac{22^2+7^2-d^2}{2*22*7} \\308 cos~70=484+49-d^2\\d=\sqrt{533-308~cos~70} \approx~20.68\\where ~d~is~diagonal.[/tex]d=20.68 ft

a. The length of the diagonal is approximately 15.74 feet.

b. The length of the shorter base is approximately 27.77 feet.

a. To find the length of the diagonal (d), we can use the given information and the formulas mentioned. Let's substitute the values into the formula:

h = (7/2) * tan(140°)

h ≈ (7/2) * (-1.376381920471173)

h ≈ -4.796335681196056

Now, substitute the values into the formula for the diagonal:

[tex]d = \sqrt{(22 - x)^2 + [(7/2) * tan(140\°)]^2}\\\\d = \sqrt{(22 - 7)^2 + [(-4.796335681196056)]^2}\\\\d = \sqrt{15^2 + 23.011228900189124}\\\\d = \sqrt{225 + 23.011228900189124}\\\\d = \sqrt{248.011228900189124}\\\\d = 15.74[/tex]

Therefore, the length of the diagonal is approximately 15.74 feet.

b. To find the length of the shorter base (b), we can use the given information and the law of cosines:

[tex]b^2 = 7^2 + 22^2 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 49 + 484 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 533 - 308 * cos(140\°)\\\\b^2 = 533 - 308 * (-0.766044443118978)\\\\b^2 = 533 + 236.924\\\\b^2 = 769.924\\\\b = 27.77[/tex]

Therefore, the length of the shorter base is approximately 27.77 feet (rounded to the nearest hundredth).

To know more about length, refer here:

https://brainly.com/question/30177995

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Does anyone know this one! Thanks

Answers

Answer: 22.4 cm!

Step-by-step explanation:

If you have the measurements of one side of an equal sided octagon, then you multiply that number (which in this case is 2.8) by 8. Hope this helps!


Liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour.
​How much sugar should Liam use?
Explain why your answer is correct.

Answers

Answer:

2/3 cups of sugar

Step-by-step explanation:

Answer:

2/3 cups of sugar

Step-by-step explanation:

If 3 cups of flour: 1 cup of sugar

2 cups of flour: x cup of sugar

Cross multiply

3x = 2 × 1

3         3

x = 2/3

My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.

QUESTION 8
Simplify the expression
(5-4 (25)*)?
expressing the answer as a power of 5.

Answers

Step-by-step explanation:

Do you mean (5-4)*(25) or 5-4(25)

(5-4) * (25)

= 5^2

Or

5-4(25)

=5 - 100

=-95

?

Solve the following equations and inequalities showing all work.
18.1/2(x - 5) + 1 = 2x +4
19.3-x>-3
20. - x = 12
21. -2 = 8
22. –1 + 3 = 3 +
5
23.4 - (5x + 6) = 18 - 3x
24.-6x + 24 = 4x - 15(x-3)
25.4(x – 3) 12 =(x-3)
26. (15x 2) (-2) = x + 4

Answers

Answer:

See the answers in the pics

Step-by-step explanation:

Srry, I didn't quite understood the last two equations

but I hope that from now on you will know how to solve equations and inequalities like this ;]

Answer:

LLLLLLLLLLLLLl

Step-by-step explanation:


A. Plot the data for the functions f(x) and g(x) on a grid (SHOWN ABOVE)
B. Identify each function as a linear, quadratic, or exponential, and uses complete sentences to explain your choices.
C. Describe what happens to the function values in each function as x increases from left to right.
D. At what value(a) of x are the function values equal? If you cannot give exact values for x, give estimates.

Answers

It would have to be A

If one factor of 6.x2 + 5x – 6 is
3.x - 2, the other factor is
A.
3.x + 3
B. 6x + 3
C. 2x + 3
D. 2.x - 3

Answers

C. 2x + 3

You have many ways to solve this!
You could...

A) multiply all the answer choices by 3x-2 and see what matches

B) Factor the trinomial

C) Divide the trinomial by the binomial using long division
c is would be your answer

Find Missing Side
Instructions: Find the missing side. Round your answer to the nearest tenth.
help plz​

Answers

Answer:

8.5 units

Step-by-step explanation:

x is the adjacent side, the side that's 19 units is the opposite side.

Given the adj and the opp sides, use tangent.

tanθ= opp/adj

tan 66°= 19/ x

x(tan66°)= 19

x= 19/(tan 66°)

x= 8.5 units (nearest tenth)

Match the number with its opposite.

Answers

Answer:

3.2 matches with (A) -3.3

-2.3 matches with (C) 2.3

-1.5 matches with (B) 1.5

5.1 matches with (D) -5.1

3.2 matches with -3.2,-2.3 matches with 2.3, -1.5 matches with 1.5 and 5.1 matches with -5.1.

Can anyone help with this thanks guys!

Answers

Answer:

450m squared

Step-by-step explanation:

bc my last answer was wrong (:

Answer:

450 m²

Step-by-step explanation:

The formula for area of a rectangle is A = lw.  You are given the length (30 m) and the width (15 m).  Plug in the numbers and solve for A.

A = lw

A = (30 m)(15 m)

A = 450 m²

The area of the rectangle is 450 m².

lauren sold 140 boxes of cookies. 60% of the boxes she sold were to people her dad works with. of these boxes 1/4 contained mint cookies. how many boxes of mint cookies did Lauren sell to people her dad worked with?​

Answers

Hey there! I'm happy to help!

First, we need to find 60% of 140. This is how many boxes she sold to the people her dad works with. 60% as a decimal is 0.6 (0.6 is 60% of 1, one represents the whole, or total).

0.6×140=84

We know that 1/4 of these had mint cookies. 1/4 is 25%, so let's find 25% of 84!

0.25×84=21

Therefore, Lauren sold 21 boxes of mint cookies to people her dad works with.

Have a wonderful day! :D

Answer:

The answer is C) 21

Step-by-step explanation:

I'm right, trust me :)

Write the equations after translating the graph of y = | 1 /2 x−2|+3 one unit down,

Answers

Answer:

[tex]y=|\frac{1}{2} x-2|+2[/tex]

Step-by-step explanation:

If your original function is:

[tex]y=|\frac{1}{2} x-2|+3[/tex]

the translation of its graph vertically down one unit, can be obtained by simply subtracting 1 from the whole functional expression:

[tex]y=|\frac{1}{2} x-2|+3-1=|\frac{1}{2} x-2|+2[/tex]

The answer would be Y=1/2x-2 +2
Have a nice day

Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner. 6 x + 3 y = 27. 5 x + 2 y = 21. Which variable should he choose so that he can use substitution to solve the system?

Answers

Answer:

Your answer is A

Step-by-step explanation:

By using substitution method, we obtained the solution of equations (3, 3).

The given linear system of equations are 6x+3y=27 and 5x+2y=21.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Using substitution method we can solve given equations

6x+3y=27 can be written as 2x+y=9 ----------(I)

5x+2y=21 ----------(II)

From equation (I), we have y=9-2x

Substitute y=9-2x in equation (II), we get

5x+2(9-2x)=21

⇒ 5x+18-4x=21

⇒ x=21-18

⇒ x=3

Substitute x=3 in equation (I), we get

2(3)+y=9

⇒ y=3

Therefore, by using substitution method, we obtained the solution of equations (3, 3).

To learn more about the linear system of an equations visit:

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What is a Stem-and-Leaf plot?
4-5 sentences.

Answers

Answer:

A stem and leaf plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit). The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.

Step-by-step explanation:

Example: Long Jump

Sam got his friends to do a long jump and got these results:

long jump

2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0

And here is the stem-and-leaf plot:

Stem Leaf

2 3 5 5 7 8

3 2 6 6

4 5

5 0

Stem "2" Leaf "3" means 2.3

Note:

Say what the stem and leaf mean (Stem "2" Leaf "3" means 2.3)

In this case each leaf is a decimal

It is OK to repeat a leaf value

5.0 has a leaf of "0"

please help with this​

Answers

Answer:

158m^3

Step-by-step explanation:

First, let's figure out the total amount of water in the tank.

It measures 4.5m by 6m by 8m. The volume of a rectangular prism is V=lwh.

Therefore, the volume is:

[tex]V=(4.5)(6)(8)=216 m^3[/tex]

We are told is it filled to the brim, so we can conclude that there are 216 cubic meters of water in the tank.

We used 58 cubic meters of water, so we simply need to subtract that from 216:

[tex]216m^3-58m^3=158m^3[/tex]

There is still 158 cubic meters of water left in the tank.

Answer:

158 m^3

Step-by-step explanation:

Volume of the tank

= 4.5 * 6 * 8

= 216 m^3.

So amount left in the tank

= 216 - 58

= 158 m^3.

5. a) A business company made a profit of Rs 24,00,000 in the last year. The management decided to distribute 20 % bonus from the profit to its 30 employees.

( i ) Find the bonus amount received by each employee.

(ii) By what percent should the bonus be increased so that each employee can receive Rs 20,000?

(iii) What should be the profit of the company so that it can provide Rs 20,000 to each employee at 20 % bonus?

Answers

Answer:

a) = Rs 16000

b) = 5%

c) = Rs 30,000,000

10% = 24,000,00/10 = Rs 240,000

20% = 240,000 x 2 = Rs 480,000

480,000/30 = Rs 16000

b) The bonus percentage needs to be increased by 5%

explanation:

Since every worker needs Rs 20000 we need to times it by 30

20000 x 30 = Rs 600,000

600,000 - 480,000 = Rs 120,000

Now we need to find the percentage of Rs 120,000

10% = Rs 240,000

5% = 240,000 divide by 2 = Rs 120,000

This is the best I can do for now please let me know if you understood the answer!

Answer:

1.Rs.16000

2.Bonus rate:25%

3.profit:Rs.3000000

Step-by-step explanation:

Case 1

Profit=Rs.2400000

Bonus Rate:20%

No.of employees =30

Now,

Bonus = (Bonus Rate of Profit) / no. Of employees

= 20% of Rs.2400000 / 30

= Rs. 16000

Case 2

Bonus=Rs.20000

Profit=Rs.2400000

Bonus rate=?

Now,

Bonus=bonus rate of profit / no. Of employees

Or,Rs. 20000 = Bonus rate × Rs. 2400000/30

Or, Rs. 20000=Bonus rate × Rs. 80000

Or,Rs.20000/Rs.80000 = Bonus rate

Bonus rate = 1/4=25%

Case 3

Bonus=Rs.20000

Bonus Rate = 20%

Now,

Bonus = bonus Rate of profit / no.of employees

Or, Rs. 20000 = 20% × Profit / 30

Or, Rs. 20000 × 30 / 0.2 = profit

Profit= Rs. 3000000

I hope it helped you

Reflect the given preimage over y=−1 followed by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)

Answers

Answer:

Reflecting over y = -1 line:

A'(8, -10)

B'(10, -8)

C'(2, -4)

Reflecting over y = -7 line:

A''(8, -4)

B'(10, -6)

C''(2, -10)

Step-by-step explanation:

Reflect the given preimage over y=−1 followed

by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)

The coordinates of the preimage are:

A(8,8)

B(10,6)

C(2,2)

Answer: Reflecting over y = -1:

If a point is reflected over a y line, the x values remain the same while the y values change.

For point A(8, 8): The y distance between the y = - 1 line and point A is 9 units. (8- (-1)). If point A is reflected, the y value would be 9 units below the y = -1 line, i.e the new y coordinate would be at -10 (-1-9)

The new coordinate is at A'(8, -10)

For point B(10, 6): The y distance between the y = - 1 line and point B is 7 units. (6- (-1)). If point B is reflected, the y value would be 7 units below the y = -1 line, i.e the new y coordinate would be at -8 (-1-7)

The new coordinate is at B'(10, -8)

For point C(2, 2): The y distance between the y = - 1 line and point C is 3 units. (2- (-1)). If point C is reflected, the y value would be 3 units below the y = -1 line, i.e the new y coordinate would be at -4 (-1-3)

The new coordinate is at C'(2, -4)

Reflecting over y = -7 line:

For point A'(8, -10): The y distance between the y = - 7 line and point A' is 3 units. (-7- (-10)). If point A' is reflected, the y value would be 3 units above the y = -7 line, i.e the new y coordinate would be at -4 (-7+3)

The new coordinate is at A''(8, -4)

For point B'(10, -8): The y distance between the y = - 7 line and point B' is 1 units. (-7- (-8)). If point B' is reflected, the y value would be 1 units above the y = -7 line, i.e the new y coordinate would be at -6 (-7 + 1)

The new coordinate is at B'(10, -6)

For point C'(2, -4): The y distance between the y = - 7 line and point C' is 3 units. (-4- (-7)). If point C' is reflected, the y value would be 3 units below the y = -7 line, i.e the new y coordinate would be at -10 (-7-3)

The new coordinate is at C''(2, -10)

We can also see that h= −7−(−1)=−6. We know that two reflections is the same as a translation of 2h  units down. So 2(−6) is a translation of −12 units down.

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Large samples of women and men are obtained, and the hemoglobin level is measured in each subject. Here is the 95% confidence interval for the difference between the two population means, where the measures from women correspond to population 1 and the measures from men correspond to population 2: negative 1.76 g divided by dL less than mu 1 minus mu 2 less than minus 1.62 g divided by dL1.76 g/dL Select the correct answer. The president of the United States is the head of which branch of the government? A. executive B. legislative C. judiciary D. parliamentary A country has been in existence for only two years. In the first year, receipts were $1.0 million and outlays were $1.5 million. In the second year, receipts were $1.5 million and outlays were $2.0 million. At the end of the second year, the government had issued debt worth ______. A horizontal spring with spring constant 210 Nm is compressed by 20 cm and then used to launch a 250 g box across the floor. 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Six human skulls from around 4000 b.c. were measured, and the lengths have a mean of 94.2 mm and a standard deviation of 4.9mm. If you want to construct a 95% confidence interval estimate of the mean length of all such skulls, assume that the requirementsare satisfied. Find the critical values that would be used to construct a 95% confidence interval estimate of o When deciding whether to build a small or large courthouse, a government leader should identify the social benefits of each size. the economic costs of each size. the political benefits of each size. the political costs of each size. A person with the genetic disorder Klinefelter's syndrome has an extra x-chromosome (genotype XXY). What can you predict is the most likely genetic mutation that results in Klinefelter's syndrome? According to this table, which instance of sexualintercourse must be reported in California?O a 14-year-old with a 17-year-oldO a 15-year-old with a 13-year-oldO a 16-year-old with a 14-year-olda 17-year-old with a 15-year-old Define logocentric. having high blood sugar having the belief that one's race, nation, or culture is superior to all others having excessive attention paid to the meanings of words or distinctions in their usage relating to the relation between body regions and areas of the brain You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 60%. You would like to be 98% confident that your estimate is within 2.5% of the true population proportion. How large of a sample size is required? A spring balance is attached with string to the piece of aluminum in the preceding problem. 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