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

What is the solution to the equation?
3(+ 9)4
24
A.
-3
O
B.
6
OC.
7.
OD. 25
Reset

Answers

Answer:

7

Step-by-step explanation:

[tex]3 {(x + 9)}^{ \frac{3}{4} } = 24 \\ \\ {(x + 9)}^{ \frac{3}{4} } = \frac{24}{3} \\ \\ {(x + 9)}^{ \frac{3}{4} } = 8 \\ \\ {(x + 9)}^{ \frac{3}{4} } = {2}^{3} \\ \\ (x + 9) = {2}^{3 \times \frac{4}{3} } \\ \\ x + 9 = {2}^{4} \\ \\ x + 9 = 16 \\ \\ x = 16 - 9 \\ \\ x = 7[/tex]

Plz can you help me out with this question..

Answers

Answer:

86%

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

The sum for the class is calculated as

[tex]\frac{sum}{30}[/tex] = 70 ( multiply both sides by 30 )

sum = 2100

The sum of the 20 boys is

[tex]\frac{sum}{20}[/tex] = 62 ( multiply both sides by 20 )

sum = 1240

The sum for the 10 girls is therefore 2100 - 1240 = 860

Thus the mean mark for the girls is

mean = [tex]\frac{860}{10}[/tex] = 86%

Leisa is Harold's older sister. Leisa says 2 + 5 (4) = 28 and Harold
says
2 + 5
(4) = 22 Who is WRONG? Explain what was done wrong.

Answers

Harold was wrong, he multiplied incorrectly 7 times 4 is 28.

ahhhh I need help please!!

Answers

Answer:

two teaspoons i think sorry if this doesnt help

Step-by-step explanation:

x
This graph shows the amount of charge left on my
computer, c, after I have been awake for h hours.


How many hours will I have been awake when my
computer has no charge left?

Use the sketch tool if it helps you with your thinking.




Submit and Explain


Answers

Answer: It's 4.5 hope it's right, bye

Answer:

Step-by-step explanation:

The table represents the equation y=2-4x. Use the drop-down menus to complete the statements.The x-values are the . The y-values are the . The missing value in the table for x = –1 is y =

Answers

Answer:

y=2-4x

y=2-4*1

y=2

y=2-4*2

y=2-6

y=-4

y=2-4*3

y=2-12

y=-10

The x values are the 1,2,3. The y values are the 2, -4,-10

y=2-4x

x=-1 , y=__

substitute x value with -1

y=2-4*-1

y=2-(-4)

y=2+4

y=6

x=-1, y=6

please help, im almost out of time​

Answers

Answer:18

Step-by-step explanation:

Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.

What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box​

Answers

Answer:

I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)

Step-by-step explanation:

What value does the digit 3 represent after 2,734 is multiplied by 1,000?​

Answers

I think it is 2730004 because the three is in the 10th place so it would actually be 30 so 30x1000 is 30,000 and the 2,7and,4 wouldn’t move you would just have to add 3 zeros because the 4 takes the place of we’re the last 0 would be. Hopefully that’s not confusing. Hope this helps!

Answer:30,000

Step-by-step explanation:

Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!

Answers

Answer:

A or the first one

Step-by-step explanation:

Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly

An
art teacher makes a batch of green paint by mixing
4/5
cup yellow paint with 4/5
cup blue paint. If she mixes 11 ​batches, how many cups of green paint will she​ have?

Answers

Answer:

She will have 17 and 3/5 cups of green paint.

Step-by-step explanation:

1. Identify your key factors:

Yellow paint: 4/5

Blue paint: 4/5

Mixes: 11 batches.

2. Arrange and solve:

4/5 x 11/1 = 44/5 x 2/1 = 88/5

[4/5 is the same amount for eithr paint so multiplying it by 2 is will give the same result, it's just less work.]

3. Simplify:

17 3/5, decimal 17.6

Answer:

A right 2 1 up

B the equivalent ratios

C the same

Step-by-step explanation:

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

5

Step-by-step explanation:

please help and give details!!

Answers

Answer:

The answer is A.

Step by step explanation

x²-1

Where

Roots (-1,0) (1,0)

Domain x€R

Range f(x)€ [-1,+infinity]

Minimum (0,-1)

Vertical intercept (0,-1)

A limited government is a system in which the people and their leader(s) create a __________ that limits the government's authority over the people. A. constitution B. warranty C. pardon D. treaty Please select the best answer from the choices provided A B C D

Answers

Answer:

The answer for this question is

A. Constitution

Hope it helps

Answer:

A.

Step-by-step explanation:

constitution

hope it helps!

What can equal 628 by multiplying? These things can be soooo challenging these days.

Answers

Answer:

314 * 2

Step-by-step explanation:

Find each percentage of 75. Explain your reasoning.

What is 10% of 75?

What is 1% of 75?

What is 0.1% of 75?

What is 0.5% of 75?

Answers

The first one is 7.5, and the second one is 0.75,and the third is 0.075, and the last one is 0.375
HOPE THIS HELPS:)

How much force is needed to accelerate a 70 kg skier at 2 m/sec2?

Answers

Force = mass x acceleration

Force = 70 kg x 2 m/s^2

Force = 140 N

How much closer to the sun is one planet than the other?

Answers

Answer:

C. 7.79 x 10^8

Step-by-step explanation:

Your Equation: (eight-point-one multiplied by ten to the eighth power) subtracted by (nine-point-one multiplied by ten to the seventh power)

so first we find out how much are in the parentheses :D

(8.7 x 10^8) = 870,000,000

(9.1 x 10^7) = 91,000,000

now you subtract 870,000,000 by 91,000,000.

 870,000,000

-    91,000,000

---------------------

 779,000,000

converted back to standard form...

7.79 x 10^8

(seven and seventy-ninths multiplied by ten to the eighth power)

<3 Enjoy,

    Dea

Answer:

i think the answer if C if y get it wrong im sooo sorry

What is the solution to the following system of equations?

2x + y = 0

x + 2y = 3

Group of answer choices

(0, 0)

(-1, 2)

(2, -4)

(-5, 4)

Answers

Answer: (-1,2)


Steps:

Solve by elimination

Multiply the first equation by 2 to make the coefficients of x in both equations the same

2(x+2y=3)

2x+4y=6

Then line them up and subtract

2x+y=0
-2x+4y=6

= -3y=-6

Divide both sides by -3 to isolate y

y=2


Then substitute 2 for y into one of the equations to find x.

x+2(2)=3

x+4=3

x=-1

-5 + n/2 = -7 what does it equal?

Answers

n = -4  because youre finding the n

Answer:

n = -9

Step-by-step explanation:

Multiply 2 by both sides to cancel out the fraction which will leave -5 + n = -14. Lastly add 5 on both sides which the final answer would be n = -9.

I WILL GIVE BRAINLEST!!!!!!!


Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x


PLSSSSS SHOW YOUR WORK PLSSSSSSS

Answers

Answer:

D

Step-by-step explanation

10/5=2

10x0.02=0.05

2+0.05=2.05

What is the stored energy of an object called?

Kinetic energy
Mechanical energy
Potential energy
Translational energy

Answers

Answer:

potential energy

Step-by-step explanation:

because when an object has stored energy its call potential but if it was kenetic energy the energy would have to move

Answer:

C

Step-by-step explanation:


In the figure above, AC = BC. If m

Answers

Answer:

80 degrees

Step-by-step explanation:

since ac and bc equal each other, it is an isosceles triangle. due to that, the measure of angle a and b are 50. so the measure of angle c is 80. due to some theorem, angle ecd is equal to angle acb. so ecd = 80

Johnson Junior High School had 600 students. 25% of the students were in 6th grade, 36% of
the students were 7th graders, and the rest were 8th graders.
How many students were 8th graders?

Answers

36+25= 61
61/600 x 100 = 10.1 %

NOT TO
SCALE
Jo
The two containers are mathematically similar in shape.
The larger container has a volume of 3456 cm and a surface area of 1024 em'.
The smaller container has a volume of 1458 em.
Calculate the surface area of the smaller container,
[4]

Answers

Answer:

455.1 cm²

Step-by-step explanation:

The two containers have the following;

Large container

Volume : 3456 cm³

Surface area : 1024 cm²

Small container

Volume : 1458 cm³

Surface area : ?

If the two containers are mathematically similar then first find the volume scale factor

Volume of large/ volume of small

3456/1024 = 3.375

Length scale factor will be cube root of volume scale factor

∛3.375 = 1.5

Area scale factor is a square of the length scale factor

=1.5² = 2.25

=Surface area of the small container will be :

Larger area = 2.25 * small area

1024 = 2.25 * small area

1024/2.25 = small area

Surface area of the smaller container 455.1 cm².

Which quadrant is the following point in?
Point A (1,3)

Answers

This would be in quadrant 1 on a graph

Answer:

Its first quadrant bro.

find the value of x so that the function has the given value
f(x) = 4x -3; f(x) = 33

Answers

Answer:

x = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 3

f(x) = 33

Step 2: Solve for x

Substitute:                    33 = 4x - 3Isolate x term:               36 = 4xIsolate x:                       9 = xRewrite:                        x = 9

hiiiiiii hiiiiiiiii ji​

Answers

Heyy hi hi heyy hi hi

Answer:

hlo thanks for free points ❤️❤️

A line passes through the point (-2, 4), and its y-intercept is (0,6). What is the equation of the line that is
perpendicular to the first line and passes through the point (5, 4)?

Answers

Answer:

y = -x + 9

Step-by-step explanation:

The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9

Yo can I get some help on this question ?

Answers

The answer is 30

Step by step:
So it only shows 90 & 60 I think your going to add (90 + 60=150+30=180
If your target is to get 180 that’s the answer I did this in 6th grade I’m not sure if it is right hope this helps❤️
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