There is a two-digit number x. 47 divided by x gives a remainder of 5, 91
divided by x gives a remainder of 7 and 132 divided by x gives a remainder of 6.
Find x.​

Answers

Answer 1

Answer:

x = 21 or x = 42

Step-by-step explanation:

Given

47 = mx + 5 ⇒ mx = 4291 = nx + 7 ⇒ nx = 84132 = kx + 6 ⇒ kx = 126

As we see, the number x is factor of 42, 84 and 126. The two-digit factors are:

42 = 1*42 = 2*2184 = 2*42 = 4*21126 = 3*42 = 6*21

We have two possible solutions:

21 and 42

Proof:

47/21 = 2 rem 5, 47/42 = 1 rem 591/21 = 4 rem 7, 91/42 = 2 rem 7132/21 = 6 rem 6, 132/42 = 3 rem 6

Related Questions

Find the area of a circle with Radius 8 yd.
Use the value 3.14 forn, and do not round your answer.

Answers

Answer:

[tex]64\pi yd^{2}[/tex] or 201.062 [tex]yd^{2}[/tex]

Step-by-step explanation:

Area of a circle: [tex]\pi r^{2}[/tex]

Given:

r=8 yd

[tex]\pi[/tex]=3.14

[tex]\pi (8^{2})=64\pi[/tex]

=201.062 [tex]yd^{2}[/tex]

I hope this is correct and helps!

Rewrite each expression in factored form using the greatest common factor. 11. 16x+48 12. 28x+ 32y 13. 11w+hw pls help!!!

Answers

Answer:

16(x + 3)

4(7x + 8y)

w(11 + h)

Step-by-step explanation:

16x + 48

The greatest common factor of 16 and 48 = 16

Hence, expressing 16x + 48 in factored form:

16x + 48 = 16(x + 3)

28x + 32y

Greatest common factor of 28 and 32 = 4

Hence,

28x + 32y = 4(7x + 8y)

11w + hw

11w + hw = w(11 + h)

i need help besties

Answers

Answer:

Step-by-step explanation:

Area. of circle =πr²

Area. of circle =3×2×2

Area. of circle =12ft²

Which of the following describes a scenario in which a chi-square goodness-of-fit test would be an appropriate procedure to justify the claim?


A statistician would like to show that one geographical location has a higher proportion of dogs that shed than another geographical location has. The statistician has two independent random samples of dogs from two different geographical locations and has recorded the proportion of dogs that shed in each sample.

A statistician would like to show that one geographical location has a higher proportion of dogs that shed than another geographical location has. The statistician has two independent random samples of dogs from two different geographical locations and has recorded the proportion of dogs that shed in each sample.
A

A principal would like to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. The principal has a random sample of individuals within the school and records the proportion of the students who eat lunch in the school cafeteria.

A principal would like to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. The principal has a random sample of individuals within the school and records the proportion of the students who eat lunch in the school cafeteria.
B

A campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported. The campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.

A campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported. The campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.
C

A manager of a water treatment plant would like to investigate whether there is a relationship between the amount of chemical used and the number of bacteria present in the water treated at the plant. The manager measures the level of bacteria from tanks at the facility that each received a different level of chemical treatment.

A manager of a water treatment plant would like to investigate whether there is a relationship between the amount of chemical used and the number of bacteria present in the water treated at the plant. The manager measures the level of bacteria from tanks at the facility that each received a different level of chemical treatment.
D

City officials would like to estimate the average price of gas in their city. The officials have a random sample of gas prices at several gas stations within their city limits.

Answers

Answer:

A campaign manager would like to show the distribution of individuals...

Step-by-step explanation:

goodness of fit can be used to compare observed and expected counts. The newspaper report would be the expected. The campaign manager's distribution is the expected.

Ariana compró cierto número de sacos de azúcar por S/. 675 y luego los vendió por S/. 1 080, ganando S/. 3 por cada saco. ¿Cuántos sacos de azúcar compró?

Answers

Responder:

135

Explicación paso a paso:

Número de bolsas compradas = x

Costo total de compra = 675

Costo total de ventas = 1080

Beneficio por bolsa = 3

Por eso :

Beneficio total + costo total de compra = costo total de ventas

3x + 675 = 1080

3x = 1080 - 675

3 veces = 405

x = 405/3

x = 135

Se compraron 135 bolsas

Enter the common ratio for the geometric sequence below.
4
,
6
,
9
,
.
.
.

Answers

Answer:

r = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The common ratio (r) in a geometric sequence is any term divided by the previous term, that is

r = [tex]\frac{6}{4}[/tex] = [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}[/tex]

Q. Which equation describes the line that passes
through the point at (-2, 1) and is perpendicular
to the line y = 1/3x + 5?

Answers

Answer:

Step-by-step explanation:

perp. -3

y - 1 = -3(x + 2)

y - 1 = -3x - 6

y = -3x - 5


Question 1 (4 points)
(04.07A)
What is the y-intercept of the line shown? (4 points)

A- -1
B-0
C-0.5
D- 1

Answers

Answer:

-1

Step-by-step explanation:

If

Answers

Answer:

If.

Step-by-step explanation:

The end :-)

Answer:

If (extended version)

Step-by-step explanation:

yes

Maram works in a toy store that sells bags of marbles. He puts 10 marbles in each bag, and 4/10 of the marbles are striped. If Maram makes 3 bags of marbles, how many striped marbles does she need?

Answers

Answer:

Step-by-step explanation:

Maram works in a toy store that sells bags of marbles. He puts 10 marbles in each bag, and 4/10 of the marbles are striped. If Maram makes 3 bags of marbles, how many striped marbles does she need?

We have:

10 marbles in each bag

Read John Muir's "Calypso Borealis" and answer the question. [1] After earning a few dollars working on my brother-in law's farm near Portage [Wisconsin], I set off on the first of my long lonely excursions, botanising in glorious freedom around the Great Lakes and wandering through innumerable tamarac and arbor-vitae swamps, and forests of maple, basswood, ash, elm, balsam, fir, pine, spruce, hemlock, rejoicing in their bound wealth and strength and beauty, climbing the trees, revelling in their flowers and fruit like bees in beds of goldenrods, glorying in the fresh cool beauty and charm of the bog and meadow heathworts, grasses, carices, ferns, mosses, liverworts displayed in boundless profusion. [2] The rarest and most beautiful of the flowering plants I discovered on this first grand excursion was Calypso borealis (the Hider of the North). I had been fording streams more and more difficult to cross and wading bogs and swamps that seemed more and more extensive and more difficult to force one's way through. Entering one of these great tamarac and arbor-vitae swamps one morning, holding a general though very crooked course by compass, struggling through tangled drooping branches and over and under broad heaps of fallen trees, I began to fear that I would not be able to reach dry ground before dark, and therefore would have to pass the night in the swamp and began, faint and hungry, to plan a nest of branches on one of the largest trees or windfalls like a monkey's nest, or eagle's, or Indian's in the flooded forests of the Orinoco described by Humboldt. [3] But when the sun was getting low and everything seemed most bewildering and discouraging, I found beautiful Calypso on the mossy bank of a stream, growing not in the ground but on a bed of yellow mosses in which its small white bulb had found a soft nest and from which its one leaf and one flower sprung. The flower was white and made the impression of the utmost simple purity like a snowflower. No other bloom was near it, for the bog a short distance below the surface was still frozen, and the water was ice cold. It seemed the most spiritual of all the flower people I had ever met. I sat down beside it and fairly cried for joy.

[4] It seems wonderful that so frail and lovely a plant has such power over human hearts. This Calypso meeting happened some forty-five years ago, and it was more memorable and impressive than any of my meetings with human beings excepting, perhaps, Emerson and one or two others. When I was leaving the University, Professor J.D. Butler said, "John, I would like to know what becomes of you, and I wish you would write me, say once a year, so I may keep you in sight." I wrote to the Professor, telling him about this meeting with Calypso, and he sent the letter to an Eastern newspaper [The Boston Recorder] with some comments of his own. These, as far as I know, were the first of my words that appeared in print.

[5] How long I sat beside Calypso I don't know. Hunger and weariness vanished, and only after the sun was low in the west I splashed on through the swamp, strong and exhilarated as if never more to feel any mortal care. At length I saw maple woods on a hill and found a log house. I was gladly received. "Where ha ye come fra? The swamp, that awfu' swamp. What were ye doin' there?" etc. "Mony a puir body has been lost in that muckle, cauld, dreary bog and never been found." When I told her I had entered it in search of plants and had been in it all day, she wondered how plants could draw me to these awful places, and said, "It's god's mercy ye ever got out."

[6] Oftentimes I had to sleep without blankets, and sometimes without supper, but usually I had no great difficulty in finding a loaf of bread here and there at the houses of the farmer settlers in the widely scattered clearings. With one of these large backwoods loaves I was able to wander many a long wild fertile mile in the forests and bogs, free as the winds, gathering plants, and glorying in God's abounding inexhaustible spiritual beauty bread. Storms, thunderclouds, winds in the woods—were welcomed as friends.

The words that Muir uses in his essay reveal that he relates to nature as a(n)

emotional professor
objective notetaker
passionate observer
removed reporter

Answers

Answer:

I think it's the third one

Step-by-step explanation:

Sorry if incorrect

hope this helps!

When x= 1, then y= 1

Answers

Answer:

When x = 1, then y = -2

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth.

Answers

Answer:

[tex]x = 9.9[/tex]

[tex]y= 7[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x and y

Considering  [tex]\theta = 45[/tex]

From the attached triangle, length x is the hypotenuse and length y is the adjacent

Solving for x

[tex]Sin\theta = \frac{Opp}{Hyp}[/tex]

[tex]Sin\theta = \frac{7}{x}[/tex]

So, we have:

[tex]Sin45 = \frac{7}{x}[/tex]

[tex]x= \frac{7}{Sin45 }[/tex]

[tex]x = \frac{7}{0.7071}[/tex]

[tex]x = 9.9[/tex]

Solving for y

Considering  [tex]\theta = 45[/tex]

[tex]Tin\theta = \frac{Opp}{Adj}[/tex]

So, we have:

[tex]Tin45= \frac{7}{y}[/tex]

[tex]y= \frac{7}{Tan45}[/tex]

[tex]y= \frac{7}{1}[/tex]

[tex]y= 7[/tex]

The value of x and y is 9.9 and 7.

Calculation of the value:

Since theta is 45 degrees

So, we know that

Sin theta = opp/hyp

Sin theta = 7 /x

x = 7 / 0.7071

= 9.9

Now the value of Y should be

Tin theta = opp/hyp

y = 7 \tan 45

= 7 /1

= 7

Therefore, we can conclude that The value of x and y is 9.9 and 7.

Learn more about length here: https://brainly.com/question/19021872

answer asap pllssssss ​

Answers

Answer:

m + 12 = 26

Step-by-step explanation:

I hope this helps a little.

Three angles in a quadrilateral measure 58°, 77°, and 116°. What is the measure of the fourth angle?

Answers

Answer:

109

Step-by-step explanation:

differentiate x+sinx/x+cosx with respect to x​

Answers

Step-by-step explanation:

content://com.cryptotab.android.FileProvider/images/screenshot/1615820475640483392397139554304.jp

A high school marching band has 55 male members. It is determined that five-eighths of the band members are male. How many members are in the band?​

Answers

Answer:

There are 88 members.

Step-by-step explanation:

Let all the members of the band be ‘x’.

= 5/8 * x = 55

x = 88

In a town election, 5985 people voted. This is 65% of the town's population who are registered to vote. How many people in town registered to vote?

Answers

Answer:

$3,890

Step-by-step explanation:

The computation of the number of people in town registered to vote is shown below;

= People voted × registered to vote percentage

= 5,985 × 65%

= $3,890

Hence, the number of people in town registered to vote is $3,890

Galeno wants to buy a video game at a store having a 20% off storewide sale. The regular price of the video game is $50. Galeno also has a coupon for an extra 5% off the sale price of any video game. Sales tax on the video game is 5.75%. How much does galeno pay for the video game? Show your work.

Answers

Answer:

$40.19

Step-by-step explanation:

50 - 0.2(50) = 50 - 10 = 40 - 0.05(40) = 40 - 2 = 38 * 1.0575 = 40.185 = $40.19

can someone help me plz

Answers

Answer:

Farm c

Step-by-step explanation:

Farm C offers the lowest price for peaches at 70 cents per pound.

In this diagram, CD is the perpendicular bisected of AB. The two-column proof shows that AC is congruent to BC.

A. AAS
B. SAS
C. SSS
D. ASA

Answers

yes hi ‍♂️ yes hi yes is ok bye ok enough fooling around it would be C.

I know this one is hard but its hard for me. PLEASE HELPP

Answers

Answer:

G. <3 and <5 hope this helps

Answer:

G

Step-by-step explanation:

What is the equation of the axis of symmetry for the quadratic equation y = 3 * (x - 6) ^ 2 - 10 ?
1) x = -6

2) x = 6

3) y =6

4) y = 10

HURRY !!! (28 points )

Answers

Answer:

Step-by-step explanation:

either 10 or 6 heres this

Are 3x + 5 and 2x + 15 + x - 5 equivalent? Explain how you know.

Answers

Answer:

Step-by-step explanation:

No, as 15 + -5 OR 15 - 5 is not 5, it is 10.

Hope that helps!

help ASAP please! i'll mark brainliest if correct!

Answers

Answer:

D.

Step-by-step explanation:

First Quartile = 52

Second Quartile = 58

Third Quartile = 62

Divide 2.2 and 41.5 :)

Answers

Answer:

39.3

Step-by-step explanation:

NEVER GONNA GIVE YOU NEVER GONNA LET YOU DOWN

1. What's the probability that a respondent was a boy AND in year 8?

Answers

Answer:

8/18?

Step-by-step explanation:

my question has been up too long lol

Answers

Answer:

Question 2: y = -7

Question 3: All real numbers

Step-by-step explanation:

(2) - The equation has a horizontal asysmptote that is y = -7

(3) - they are all real numbers it does not stop at any point

I hope this helps!

3х - 8y = 24
у = х - 8​

Answers

Answer:

the answer is x= 8, y= 0

Solve for angle F ?
I need help please

Answers

Answer:

F = 31

Step-by-step explanation:

70+50=125

180-125=55

the last angle of the triangle is 55.

The last angle of the triangle and the equation make up to 180 so.

55+4f+1=180

F=31

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