find the least number in which when divided by 8 20 and 24 leave remainder 2 in each case.​

Answers

Answer 1

Answer:

Solution: Factors of

8 = 2x2x2

12 = 2x2x3

18 = 2x3x3

24 = 2x2x2x3

LCM = 2x2x2x3x3 = 72

Add 5 to 72 to get 77 as the answer


Related Questions

Davit and Mila are both travelling by train.
Davit's train travels 90 km in 50 minutes.
Mila's train travels 210 km.
It leaves at 12:05 and arrives at 13:35.
Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer:

32 km/h

Step-by-step explanation:

Davit's Train travels at 108 km/h

Mila's train travels at 140 km/h

140-108=32

Therefore the difference in their average speed is 32 km/h

pls help asap whats the local min value of the function below?

Answers

Answer:

given function has 2 minimums - [tex]\frac{9}{4}[/tex]  and  [tex]\frac{9}{4}[/tex]  

Step-by-step explanation:

Step 1. g'(x) = 4x³ - 10x

Step 2. Find find the critical points:

4x³ - 10x = 2x(2x² - 5) = 0

[tex]x_{1}[/tex] = - [tex]\sqrt{\frac{5}{2} }[/tex] , [tex]x_{2}[/tex] = 0 , [tex]x_{3}[/tex] = [tex]\sqrt{\frac{5}{2} }[/tex]

Step 3. g'(x) > 0 :  - [tex]\sqrt{\frac{5}{2} }[/tex] < x < 0  or  x > [tex]\sqrt{\frac{5}{2} }[/tex]

g'(x) < 0 :   x < - [tex]\sqrt{\frac{5}{2} }[/tex]   or   0 < x < [tex]\sqrt{\frac{5}{2} }[/tex]

Step 4.

If x ∈ ( - ∞ , - [tex]\sqrt{\frac{5}{2} }[/tex] ) , g(x) is decreasing ;

If x = - [tex]\sqrt{\frac{5}{2} }[/tex] , g(x) has minimum value ;

If x ∈ ( - [tex]\sqrt{\frac{5}{2} }[/tex] , 0 ) , g(x) is increasing ;

If x = 0 , g(x) has maximum value ;

If x ∈ ( 0 , [tex]\sqrt{\frac{5}{2} }[/tex] ) , g(x) is decreasing ;

If x = [tex]\sqrt{\frac{5}{2} }[/tex] , g(x) has minimum value ;

If x ∈ ( [tex]\sqrt{\frac{5}{2} }[/tex] , ∞ ) , g(x) is increasing .

⇒ at ( - [tex]\sqrt{\frac{5}{2} }[/tex] , - [tex]\frac{9}{4}[/tex] ) and at ( [tex]\sqrt{\frac{5}{2} }[/tex] , [tex]\frac{9}{4}[/tex] ) , g(x) reaches its minimum

find x. need help w this question in the pic, thanks a lot !

Answers

Answer:

x=56 degrees

Step-by-step explanation:

the triangles are similar and the two curves match up which mean congruent so the angels are congruent

If 420 women at a conference comprise 40% of all the people at the conference, how many people are at the conference?

Answers

Answer:

1050 people

Step-by-step explanation:

if there are x people at a conference

then 40% of x = 420

40% can be written as 40/100 --> 4/10 --> 2/5

2/5 * x = 420

x = 420 * 5/2

x = 1050

If F(x) = 4x - 3, which of the following is the inverse of F(x)?
A. F'(x) =4x+3/7
B. F'(x) = 4x-3/7
C. F'(x) = 7x+3/4
D. F'(x) = 7x-3/4

Answers

Answer:

c)( 7x+3)/4

Step-by-step explanation:

c) (7x+3)/4

1.{ (-7, 2), (3, 5), (8,4), (-6, 5), (-2, 3)}

Function?
Domain:
Range:

Answers

Answer:

Step-by-step explanation:

The relation will be a function as long as none of the x values are repeated or "used" more than once. Let's state the domain (the x values) to make this determination. Domain and range are both stated in order from least to greatest, no repeats allowed (so if there is one, we won't list it but will make note of it if the repeated value is an x value. The y values can repeat all they want!)

D = {-7, -6, -2, 3, 8} That's the domain and there were no repeats, so this IS a function.

R = {2, 3, 4, 5} Notice that 5 is a y value in 2 of the coordinates, but no repeats allowed so we only list it once.

Use a table of values to graph the function ƒ(x) = + 4. Select the correct graph below.

Answers

Answer:

C.

Step-by-step explanation:

+4 in the function means the graph crosses the y axis at +4

Answer:

C)

Step-by-step explanation:

See the figure below. I made a table using a different color for each point. I plotted all points in all graphs. Clearly, graph C) is the graph of the given function.

What is the length of BC

Answers

Answer:

CB = 17

Step-by-step explanation:

This is an isosceles triangle so AC = AB

x+9 = 2x-8

Subtract x from each side

x+9-x =2x-8-x

9 = x-8

Add 8 to each side

9+8 = x-8+8

17 = x

CB = x

CB = 17

What is the equation of the line that passes through the point (-1,4)and has a slope of -5?

Answers

Answer:

y = -5x - 1

Step-by-step explanation:

NOTE: This equation is in slope-intercept form. The equation in point-slope form is y - 4= -5(x + 1).

The formula for calculating slope-intercept form is y = mx + b.

Substitute the slope and the x and y intercepts for the equation: 4 = -5(-1) + b

4 = 5 + b

Subtract 5 from both sides.

So, -1 = b.

Now substitute the slope for m and -1 for b.

y = -5x + -1

= y = -5x - 1


A bag of rare spice that weighs 2/3 pounds will be split equally among 12 people. How much spice will each person get

Answers

Answer:

1/18 pound each

Step-by-step explanation:

Take the number of pounds and divide by 12 people

2/3 ÷12

Copy dot flip

2/3 * 1/12

Rewriting

2/12 * 1/3

1/6 * 1/3

1/18 pound each

Answer:

Each person will get 1/18 pounds of spice from the bag

Step-by-step explanation:

Divide 2/3 by 12:

Make 12 a fraction by adding 1 as the denominator:

2/3 ÷ 12/1

Reciprocate the second fraction:

2/3 ÷ 1/12

Turn it into multiplication:

2/3 x 1/12 = 2/36

SIMPLIFY 2/36:

2/36

Divide both sides by 2:

1/18

so your answer is 1/18

I hope I helped!

What is the ratio of the area of the square of side x to the area of rectangle of width 2x and length 3x?​

Answers

Answer:

2:3

Step-by-step explanation:

Analyze the diagram below and complete the instructions that follow.



Rhombus BOXY has angle measures as shown in the diagram. Find the measure of /.

A.
30°
B.
60°
C.
100°
D.
120

Answers

B. All sides are equal and each side is at a 60 degree angle.

please do only b and e​

Answers

Answer:

b. y = x + 3

e. y = 2x + 5

Step-by-step explanation:

here is your formula: y = mx + b

x is your slope and b is your y-intercept

Hope this helps

y=x+3y=2x+5hope it's helpful

please help me with this
simplify sqrt24w^14

Answers

Answer:

2×sqrt(6)×w⁷

Step-by-step explanation:

what I can read here, you need to simplify

sqrt(24×w¹⁴)

= sqrt(24)×sqrt(w¹⁴) = sqrt(4×6)×sqrt(w¹⁴) =

= 2×sqrt(6)×sqrt(w¹⁴)

and taking the square root of something with exponent simply means dividing that exponent by 2

so,

2×sqrt(6)×w⁷

R = 5k - 6
work out the value of R when k=3​

Answers

Answer:

R=9

Step-by-step explanation:

In the equation, replace k with 3.

R=5(3)-6

Multiply.

R=15-6

Subtract

R=9

I hope this helps!

Answer:

9

Step-by-step explanation:

R = 5k - 6

Let k = 3

R = 5*3 - 6

Multiply

R = 15 -6

Subtract

R = 9

Caroline,Colin & Sarah share some money in the ratio 5:9:6.
In total, Caroline and Sarah receive £44. How much does Colin get?

Answers

Answer:

Caroline gets 4*5 = 20 pounds

Colin gets 9 * 4     = 36 pounds

Sarah gets 6*4      = 24 pounds.

Step-by-step explanation:

The ratios are 5x + 9x + 6x

5x + 6x = 11x

Caroline and Sarah get a total of 44 pounds. They don't get 44 pounds each.

11x = 44            Divide by 11

x = 44/11

x = 4

Colin gets 9x

x = 4

9*4 = 36

Colin gets 35 pounds.

Caroline gets 4*5 = 20 pounds

Colin gets 9 * 4     = 36 pounds

Sarah gets 6*4      = 24 pounds.

Caroline and Sarah get 20 + 24 = 44

1. Giles thinks that -5x²(3x - 4) simplifies to 15x² + 20x². Explain what mistakes he made. What is the
correct answer?

Answers

Answer:

The mistake was minus sign before the 15 and putting 15x² instead of 15x³.

The correct answer is:

[tex]-5x^{2} (3x-4)\\ = -15x^{3} + 20x^{2}[/tex]

Factorise x + 5x + 6​

Answers

Answer:

x= -2, -3

Step-by-step explanation:

I think you meant x^2+5x+6

(x+2)(x+3)

x= -2,-3

ASAP!!!!!!!
What is the range of the inverse of the given function?

[tex]f(x) = \sqrt{x} -2[/tex]

a) [2, ∞)
b) [-2, ∞)
c) (∞, 2]
d) (2, ∞]

Answers

Answer:

[2 , ∞)  

Step-by-step explanation:

y = sqrt( x-2)

The domain is the values that x can take

Since we have a square root

Domain: [2 , ∞)  since the square root must be greater than or equal to zero

The range is the values that y can take

The square root starts at 0 and increases

Range [0,∞)

The inverse swaps the domain and range

Range: [2 , ∞)  

Domain [0,∞)

Answer: it’s A on here but check which is A on your test

Step-by-step explanation:

Eight soccer teams participate in a soccer tournament, so that each team plays with every other team exactly once. If one team wins against another, then the winning team gets two points, and the losing team gets zero points. If the two teams tie, then both teams get one point each. After the tournament, the teams are ranked by the total number points each team won. What is the minimum number of points a team must win, to ensure that it is in the top four teams

Answers

Answer:

Step-by-step explanation:

With an eight team round robin, 28 games will be played in total (The total edges in K8). Since each game will produce two points regardless of outcome, 56 total points will be shared among the eight teams. In the absence of a well-defined tie breaking system, we assume that ties do not qualify as a guarantee. We define a team's point total as "ensuring" fourth place when the fifth place team could not possibly have that many points.

Ten points are not enough and eleven points must be enough. In one extreme case, teams A,B,C,D and E all draw each other and win against F,G, and H (who also draw each other), giving a fifth place team with ten points. If we have a fifth place team with eleven points then teams A,B,C,D, and E share at least 55 points, meaning teams F,G, and H share at most one point. However, F,G, and H play each other and must share at least six points, a contradiction. Therefore, 11 points guarantees fourth place at a minimum.

what is the reason for statement 8
a. third angle theorem
b. triangle proportionality theorem
c. congruent complements theorem

Answers

i need points sorry about this

Find the value of x that makes lines u and v parallel. 11x-2 is the "larger" looking angle on the left.

Answers

Answer: 12

11x - 2 = 130

11x = 130 + 2

11x = 132

x = 132/11

x = 12

Now with value x the angle will be 130 and using converse of corresponding angles theorem line v and u will be parallel

Answered by Gauthmath must click thanks and mark brainliest

need help ASAPPPPP , what is the volume of the sphere?

Answers

Answer:

[tex]V =33.5\ inches[/tex]

Step-by-step explanation:

Step 1:  Find the volume of the sphere

Formula for the volume of a sphere:  [tex]V=\frac{4}{3}\pi r^{3}[/tex]

[tex]Radius = Diameter / 2[/tex]

[tex]Radius = 4 / 2[/tex]

[tex]Radius = 2[/tex]

[tex]V=\frac{4}{3}(3.14) (2)^{3}[/tex]

[tex]V =33.5\ inches[/tex]

Answer:  [tex]V =33.5\ inches[/tex]

A university student spends his summer months in his home town, where he works for a local microbrewery during the evening hours. In the late morning, he attends the local community college, where he takes summer courses that he knows will transfer back to his school. Although he finds the courses just as challenging as at his regular university, he does not worry about his summer grades affecting his 3.2 (out of 4.0) grade point average, because his university only accepts the transfer credits. As long as he receives C grades or better, he maintains his current grade point average. Which theory suggests that the student will work only as hard as necessary to earn a C grade

Answers

Answer:

Expectancy theory

Step-by-step explanation:

We are told that as long as he receives C grades or better, he maintains his current grade point average.

This means that;

There is a large tendency for him to work just hard enough to earn a c grade.

This depicts vrooms expectancy theory of motivation which is defined as a theory whereby a person or persons will act in a particular way just for the sake of what they will gain from exhibiting that particular selected behavior instead of others.

Which of the following has the greatest value? * 9+ (-9) 9-(-9) 9X(-9) 9/(-9)

Answers

9+(-9) = 18
18 is the greatest value in that set

Maisie has three times as many CDs as Ken. ken has twice as many CDs as Jo. Jo has more than 10 CDs. What is the least number of CDs that Masie can have?

Answers

Answer:

Least number is 60.

Step-by-step explanation:

Let the number of CDs has Jo be represented by x + 10. Where x = 0, 1, 2, 3....

Then, since Ken has twice as many CDs as Jo, the number of CDs that Ken has can be expressed as;

 2(x + 10) = 2x + 20

Maisie has three times as many CDs as Ken, then the number of CDs that Maisie has can be expressed as;

3(2x + 20) = 6x + 60

Thus to determine the least number of CDs that Maisie can have, let x = 0.

3(2x + 20) = 6x + 60

                 = 6(0) + 60

                 = 60

Therefore, the least number of CDs that Maisie can have is 60.

3. The vertices of trapezoid WXYZ are W(-2, 4), X(-3, 2), Y(-3, 1), and Z(-2, 1).
Which figure shows the image of trapezoid WXYZ for a glide reflection where the translation is (x, y) - (x + 2, y) and the line of
reflection is y = 0?

Answers

Step-by-step explanation:

I don't know, if I see the full picture. I see only 2 diagrams.

since the line of reflection is y=0 (= the x-axis), it can be only the upper diagram.

and something might be wrong with your translation description.

but as I said, given these two choices, due to the line of reflection, it can be only the upper diagram.

A plane is traveling at 600 miles per hour. How many feet per second is it traveling?
ft/sec
Help!

Answers

Answer:

see explanation

Step-by-step explanation:

First we need to convert 600 miles per hour into feet per hour,

which is

# 3.168e+6

next, divide both by 60 to get feet per minute, then divide by 60 again on both sides to get feet per second

which is

#880 ft per second

in ten minutes he traveled 8 miles Write the equation for the relationship between x and y.

Answers

Answer:

Step-by-step explanation:

The trick here is to make sure that the units are standard units, like miles / hour.

10 minutes = 10 / 60 hours.

k = 1/6 of an hour

y = k x

k = y/x

k = 8 miles / 1/6 of an hour

k = 8 * 6 // 1/6 * 6

k = 48 miles / hr

y = k x

y = 48 * x

Please tell what's the answer and also mention the steps to get the answer.​

Answers

Answer:

Hope it helps

Option (C) is correct answer

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