A two-digit positive integer x has the property that when 109 is divided by x, the remainder is 4. What is the sum of all such two-digit positive integers x

Answers

Answer 1

Answer:

The sum of the two digits integers which divide 109 with a remainder of 4 is 71

Step-by-step explanation:

The given parameters are;

109/x = Q + 4/x

Therefore, we have;

109 = Q·x + 4

∴ Q·x = 109 - 4 = 105

x = 105/Q

Therefore, x is a factor of 105

The possible two digits integers which x represents includes the two digit factors of 105 which are;

15, 21, and 35

Which gives;

15 × 7 = 105

21 × 5 = 105

35 × 3 = 105

The sum of the two digits integers which divide 109 with a remainder of 4 is 15 + 21 + 35 = 71.


Related Questions

Austin borrowed $3000 from the bank at a rate of 2.25% simple interest per year. How much total did he have to pay back after 5 years?

Answers

Answer:

Austin will have to pay $33,750 for the simple interest.

Step-by-step explanation:

2.25% into decimal = 0.0225

0.0225 x 3000 = 6750

6750 x 5 = 33750

quadratic equation usingvquadratic formula​

Answers

Answer:

Sure what's the problem. I don't see a problem or an attachment  

Step-by-step explanation:

3 1/4 / 2 3/8= a b/c

Answers

Answer:

3 divided by 2 is 1.5

1/4 divided by 3/8 is 1/8

Step-by-step explanation:

Two taxi services charge different rates. Taxi A charges $0.70 per mile
traveled plus an initial charge of $3.00. Taxi B charges $0.90 per mile
traveled. The situation is modeled by this system, where x is the number of
miles traveled and y is the charge for that distance, in cents:
y = 70x + 300
y = 90x
How many miles must each taxi travel for the charges to be equal, and what
is the charge for that distance?
A. Each must travel 9 miles, and the charge is $8.10.
B. Each must travel 10 miles, and the charge is $10.00.
C. The charges will never be equal no matter how far each travels.

Answers

Answer:

none of the above

Step-by-step explanation

70x + 300 = 90x

          300 = 20x

             15 = x

Answer:

each must travel 15 miles, and the charge is $13.50

Step-by-step explanation:

a8ex

6.2yd
15.7yd
8.5yd
what is the volume of the triangluar prism

Answers

Answer:

6.2 yards

Step-by-step explanation:

90 Points someone please help me !!!!!!!

Answers

Answer:

e4 squared

Step-by-step explanation:

Please help if possible due really soon❤️❤️❤️ thank you so much

Answers

Answer:

i do believe they are right, i got b too.

Step-by-step explanation:

What is the value of the expression

1/2 (m-4) • n

A 1/2
B 1
C 2
D 7/2

Answers

Answer:

b. 1

Step-by-step explanation:

you lised m = 12 and n = 1/4 so...

1/2(12-4) x 1/4

4 x 1/4 = 4/4 = 1

Help is a quizz !!!! The question is what mistake did the make in simplifying the expression ? (explain )

Answers

5^4 / 5 = 5^4 * 5^(-1) = 5^(4-1) = 5^3 = 125

HELLPPPPPPPPPP!!!(Mikaela will invest $2,500 in an account that pays her 7.5% over 2 years. How much interest will she receive? Also, how much will she make total?

Answers

Answer:

Just interest is $187.50

Total is $2,687.50

Step-by-step explanation:

1. Determine what 7.5% of $2,500 is:

0.075 × 2,500 = 187.5

2. Add the interest (187.5) to the amount invested:

2,500 + 187.5 = 2,687.5

Answer:

375 interest, 2875 total

Step-by-step explanation:

I - ?

P - 2,500

R - .075

T - 2

2,500 x .075 = 187.5

187.5 x 2 = 375

375 + 2,500 = 2,875

(Do you go to GPFAA bc I have the same question)

Which of the following is an example of a quadratic equation?

Answers

its b

Step-by-step explanation:

name something in your everyday life or something that you watch for entertainment (Like sports...) that involves understanding proportional relationships

Answers

Answer:

One thing that I watch almost everyday that can help me understand proportional relationships is ads after I've watched an important event of the show. For example, I've just watched a good episode of {Show Name} and an ad about Shoprite appears. A graph, with a red line shows you how many people prefer to go to their shop than Walmart. They put their numbers in bigger numbers, making it seem that a lot of people go there compared to Walmart, so it must be good. This involves understanding proportional relationships because it shows how many people show up to Shoprite in {number of weeks}. So, the more weeks that Shoprite shows their ad, that more people come in that week.

Step-by-step explanation:

You have to think about x and y axis, and compare it to real life situations. For example, You're pouring gas into your car. The x axis is how many gallons of gas you poured in and the y is how much money you spent. The more you pour in gallons of gas, the more money you spend.

So, now all you have to do it compare it to something you do everyday.

Please don't copy this, we are in the same class. :(

K is the midpoint of VW.
If KV = 3x and KW = 5x-10, what is VW?
22.5
15
7.5
30

Answers

Answer:

15

Step-by-step explanation:

just took the test. x=5 and the answer to the equation is 15

Sandra drove 90 miles and used 6 gallons of gasoline. Ben drove 135 miles and used 9 gallons of
gasoline
Which of these statements is true?
A Sandra and Ben used gasoline at the same rate because - 15
B Sandra and Ben used gasoline at different rates because Ben drove a longer distance.
C Sandra and Ben used gasoline at the same rate of 12 miles per gallon.
Sandra and Ben used gasoline at different rates because Sandra used less gasoline.

Answers

Answer:

It is A

Step-by-step explanation:

6 x 15 = 90

9 x 15 = 135

Answer: A

Step-by-step explanation:

because the rate Sandra is using gas is 90/6 which is 15 and the rate Ben is using gas is 135/9 which is also 15. Since they are USING the gas, it is minus 15 (-15).

Need some help.
Which numbers are rational?

1. 4/5
2. √4/5
3. π
4. √25/4
5. 3.14
6. √10/49

Answers

Answer:

1, 4, 5

Step-by-step explanation:

rational is when there is an end to the number.

Owen draws 7 comics in April. He draws 3 times as many comics in May. How many comic does Owen draw in May​

Answers

Answer:

16

Step-by-step explanation:

Answer:

21 comics

Step-by-step explanation:

hope this helped:)

PLEASE HELP ME WITH THIS!!

Answers

the first 2 are a function and the last 2 are not

The mean height for an 8th grader in the State of Florida is 146 cm with a standard deviation of 8 cm. Given a normal distribution, use the Empirical Rule to interpret the data. What percent of 8th graders heights are between 138 cm and 162 cm? What percent of 8th graders heights are between 122 cm and 170 cm? What percent of 8th graders heights are between 130 cm and 162 cm?

Answers

Answer:

a) 68%

b) 99.7%

c) 95%

Step-by-step explanation:

The mean height for an 8th grader in the State of Florida is 146 cm with a standard deviation of 8 cm. Given a normal distribution, use the Empirical Rule to interpret the data.

Empirical rule states that:

68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Mean = 146

Standard deviation = 8cm

a) What percent of 8th graders heights are between 138 cm and 162 cm?

146 - sx = 138cm

146 - 138 cm = 8cm

146 - 162 cm = 8cm

Hence,68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .

b) What percent of 8th graders heights are between 122 cm and 170 cm?

Standard deviation = 8

146 - 122 = 24 cm

146 - 170 = -24cm

24cm/8 cm = 3

Hence,99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

c) What percent of 8th graders heights are between 130 cm and 162 cm?

146 cm - 130cm = 16cm

162 cm - 146 cm = 16 cm

16cm/8cm

= 2

Hence, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

PLZZZ help 30 points ​

Answers

Answer:

20*3 1/5

3 1/5= 15+1=16

16/3*20

320/3=

106 1/3

Answer:

64 is ur answer

Step-by-step explanation:

3 1/5 is equal to 16/5

20/1 x 16/5

320/5 = 64

If light travels 6.71x10 exponent 8 miles in one hour how many miles will it travel in 1 minute

Answers

Answer:

1.118 3 ¯ repeating   ⋅ 10 exponent  7

Step-by-step explanation:

which one of these tables shows a direct variation​

Answers

Answer:

The first one

Step-by-step explanation:

A direct variation is when x and y are multiplied or divided by the same number. For example, in the first one y is always 8 times x. But, in the 2nd 3rd and 4th one that is not the case.

Hope this Helps!!! :)

Let me know in the comments if I should change anything or if the answer was perfect!!!

PLEASEEE HELPM ME I WILL GIVE BRAINLIEST

what is a simile for abortion

Answers

Answer:

abortion is like killing a baby as a mother

Step-by-step explanation:

simile uses "like" or "as"

I don’t know the answer! Please help

Answers

Answer:

3x=4x-24, x=24, RST=72

I will be doing more 100 point free questions

Help me please !!!!!!!

Answers

Answer:

1 = 40

2 = 140

3 = 40

4 = 140

5 = 40

6 = 140

7 = 40

Step-by-step explanation:

A straight line is 180 so I did 40 because 140 + 40 = 180. once I figured 3 out I basically had the rest.

Write 6 2/7 as an improper fraction.

Answers

Answer: 44/7

Step-by-step explanation:     Hope it helps pls give brainliest

6 2/7= ?/7

multiply 6 by 7

= 6 2/7= 42/7

add 42 and 2= 44

= 44/7

The given mixed number 6 2/7 expressed as an improper fraction is 44/7.

The given mixed numbers s as follows:

6 2/7

To convert the mixed number 6 2/7 to an improper fraction, we can follow these steps:

Multiply the whole number (6) by the denominator (7).

⇒ 6 x 7 = 42

Add the product from Step 1 to the numerator (2).

⇒ 42 + 2 = 44

Write the sum from Step 2 as the new numerator over the denominator (7).

The improper fraction equivalent of 6 2/7 is 44/7.

Therefore, 6 2/7 expressed as an improper fraction is 44/7.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ6

The shown quadrilateral is a rectangle. If AB is 10 what is the length of DC?
_____________________

A.10
B.5
C.15
D.12

Answers

The answer is:

A. 10

This is because segment AB is parallel to segment DC, meaning they are the same length.

Hope this helps!

someone help plzzz zz z

Answers

Answer:

B

Step-by-step explanation:

It’s answer B. :))))

I need the value of X

Answers

Answer:

x=36

Step-by-step explanation:

By vertical angles we know that

[tex]72 = 2x\\\\x=\frac{72}{2}\\\\x=36[/tex]

Answer:

x = 36

Step-by-step explanation:

72 and 2x are vertical angles, so they are equal.

2x = 72

2x/2 = 72/2

x = 36

Six calculators cost 180 determine the cost per calculator

Answers

Each calculator would cost 30 dollars (sorry if this isn't what you mean)

If a two story home has a ground floor of 25*30 feet and second floor of 20*30 feet, what is the total square footage of the home?

Answers

Answer: 1350 ft^2

Step-by-step explanation:

The total square footage of the home will be equal to the sum of the areas of each floor.

We know that the ground floor is 25 ft by 30ft,  which can be thought of as a rectangle with a length of 25ft and a width of 30 ft.

We know that te area of a rectangle of width W and length L is:

A = L*W

then the area of the ground floor is:

A = 25ft*30ft = 750 ft^2

And the second floor is 20ft by 30ft, then using the same approach as above, the area of the second floor will be:

A = 20ft*30ft = 600ft^2

Then the total square footage of the home is:

SF = 750ft^2 + 600ft^2 = 1350 ft^2

The total square footage of the home will be 1350 feet².

Based on the information given, the area of the first floor will be:

= 25 × 30

= 750 feet²

The area of the second floor will be;

= 20 × 30

= 600 feet ²

The total square footage will be:

= 750 + 600

= 1350 feet ²

Read related link on:

https://brainly.com/question/20360160

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