Find the greatest number of student among whom 120 oranges and 130 apples can be divided equally.

Answers

Answer 1

Answer:

10

Step-by-step explanation:

We need to find the greatest number of student among whom 120 oranges and 130 apples can be divided equally.

​It means we need to find the HCF of 120 and 130.

HCF is highest common factor.

The HCF of 120 and 130 is 10.

So, the greatest number of student is 10.


Related Questions

In the circle below, segment AB is a diameter. If the length of are ACB is 6pi what is the length of the radius of the circle?

Answers

Answer:

The radius is 6

Step-by-step explanation:

Arc length ACB = 6 pi

The arc length = fraction of a circle times the circumference

6 pi = 180/360 * 2 * pi *r

6 pi = 1/2 * 2 * pi*r

6 pi =  pi r

The radius is 6

f(x)=15x³+22x²-15x+2
Write f(x) as a product of linear factors.

Answers

Answer:

[tex](5x - 1)(3x - 1)(x + 2)[/tex]

Step-by-step explanation:

[tex](15 {x}^{3} + 22 {x}^{2} - 15x + 2)[/tex]

Apply Rational Root Theorem, our possible roots will be

plus or minus( 2/15, 2/5,2/3,2, 1/15,1/5,1/3,1).

I

I tried root -2 and it work so

If we apply synthetic dividon, we would be left with

[tex]15 {x}^{2} - 8x + 1[/tex]

We can factor this regularly.

Apply AC method that a number

AC will multiply to 15 but add to -8.

The answer are -5 and -3 so we write this as

[tex]15 {x}^{2} - 5x - 3x + 1[/tex]

Factor by grouping

[tex](15x {}^{2} - 5x) - (3x + 1)[/tex]

[tex]5x(3x - 1) - 1(3x - 1)[/tex]

So our factor are

[tex](5x - 1)(3x - 1)(x + 2)[/tex]

If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).

Answers

Answer:

D. 3x + 1

Step-by-step explanation:

the sum of three consecutive even intergers is 30. what are the intergers?

Answers

Answer:

8, 10, 12

Step-by-step explanation:

3 consecutive even integers are 8, 10, 12

8 + 10 + 12 = 30.

Answer:

8, 10 ,12

Step-by-step explanation:

Let x be the first integer

x+2 is the second

x+4 is the third

The sum is 30

x+ x+2 + x+4 = 30

Combine like terms

3x+6 = 30

Subtract 6 from each side

3x+6 -6 =30-6

3x = 24

Divide by 6

3x/6 = 24/6

x = 8

x, x+2, x+4  is 8, 8+2, 8+4,

8, 10 ,12

Which sign makes the statement true?
5.01 x 10-3 ? 0.00105

Answers

Answer:

47.1 > .00105

Step-by-step explanation:

Given :

5.01×10-3 ? 0.00105

Now,

5.01×10-3 ? 0.00105

50.1-3?0.00105

47.1?0.00105

From the above equation, we can say that 47.1  is greater than 0.00105

Therefore, 47.1 > .00105

Hihi , please help if able.

Answers

Answer:

9(9m + 3t) = 81m + 27t

Step-by-step explanation:

With brackets with more than one term inside multiplied by a number;

The rule of thumb to know is that with brackets, everything inside must be multiplied by everything outside;

So, in this case, the number 9 must be multiplied by each term inside the brackets:

9 × 9m = 81m

9 × 3t = 27t

So to expand, opening the brackets, you get:

81m + 27t

one dozen mangoes cost $120.00. what is the cost of 8 mangoes??​

Answers

Answer:

$80.00

Step-by-step explanation:

12m = 120

m = 10

Therefore, 8m must equal 80.

Answer:

The cost of 8 mangos would be $80.00

Step-by-step explanation:

A dozen is equal to 12 so its 10 bucks per mango since there are 12 mangos

Answer plsssss………………

Answers

Answer:

The corresponding angles theorem works for cases where we have two parallel lines intersecting another line.

Two lines are parallel if, at any point, the distance between these two lines is always the same.

Now, if we look at the image, we can see that the distance between the two horizontal lines changes (is smaller at the right and larger at the left)

Thus, these lines are not parallel.

Then the corresponding angles theorem can not be used here, and we have that:

∠9 ≠ ∠10

Sora paid $26.46 for 8.4 gallons of gasoline. How much was each gallon of gasoline?
$0.211
$0.315
$2.11
$3.15

Answers

Answer:

last one

Step-by-step explanation:

The answer is $3.15 I got this by dividing 26.46 by 8.4

Help please no links

Answers

Answer:

D

Step-by-step explanation:

The question states you need a square. That means whatever you do, must leave a square number like 49 or 64

If you add 6 or 7 to 56  you do not get 64    A and C are both wrong.

If you subtract 7 from 56 you get 49 which is a perfect square and all 4 sides will equal 7.

Please help me
The question is write the question for the table given.
The multiple choices are
Y=1/3x
Y=1/2x
Y=3x
Y=2x

Answers

Answer:

The answer is Y=3x

when x is 0, y is 0

y=3x

Y= 3 X 0 = 0 (correct)

when x is 1, y is 3

y=3x

y=3 X 1= 3 (correct)

when x is 2 , y is 6

y=3x

y= 3 X 2= 6 (correct)

when x is 3, y is 9

y=3x

y= 3 X 3= 9 (correct)

when x is 4, y is 12

y=3x

y= 3 X 4= 12 ( Correct)

7- write the equation of the line that passes through points A(6,1) and B(9,4)
I

Answers

Answer:y=x-5

Step-by-step explanation: Use (y2-y1)/(x2-x1) fill those in and get (4-1)/(9-6) which is 3/3 and that is 1 for the slope. Now fill in y=1x with a given coordinate and try to find the y-intercept so we would do 1=1(6) and we need to make the right side equal to the left so we subtract 5. Ending us with y=x-5.

I need the answers and it's due today, please help

Answers

Answer:

1. 3

2. 1

3. 2

4. 4

5. 5

Step-by-step explanation:

1. The equation is of the form , where a, b, and c are all positive integers and . Using this equation as a model, create your own equation that has extraneous solutions. (a) Using trial and error with numbers for a, b, and c, create an equation of the form , where a, b, and c are all positive integers and such that 7 is a solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.) (b) Solve the equation you created in Part 2a. (c) If your solution in Part 2b did not have an extraneous solution, revise your equation so that 7 is one solution and there is an extraneous solution. If your solution in Part 2b did have an extraneous solution, create another equation with different values of a, b, and c that also has 7 as one solution and an extraneous solution.

Answers

Answer:

[tex]7 + a = \sqrt{7b + c}[/tex] --- equation

[tex]a = 3; b =5\ and\ c = 65[/tex] --- the equation is true for these values

[tex]a = 4; b=5\ and\ c = 10[/tex] --- the equation is extraneous for these values

Step-by-step explanation:

Given

[tex]x +2 = \sqrt{3x + 10[/tex]

[tex]x + a = \sqrt{bx + c}[/tex]

Solving (a): Equation to solve for a, b and c, using trial by error where [tex]x = 7[/tex]

We have:

[tex]x + a = \sqrt{bx + c}[/tex]

Substitute 7 for x

[tex]7 + a = \sqrt{7b + c}[/tex] --- This is the equation

Solving (b): Solve for a, b and c --- to make the equation true

[tex]7 + a = \sqrt{7b + c}[/tex]

Let a = 3 ----- Here, we choose a value for a

[tex]7 + 3 = \sqrt{7b + c}[/tex]

[tex]10 = \sqrt{7b + c}[/tex]

Square both sides

[tex]100 = 7b + c[/tex]

Let b = 5 --------- Here, we choose a value for b

[tex]100 = 7*5 + c[/tex]

[tex]100 = 35 + c[/tex]

Subtract 35 from both sides

[tex]c = 65[/tex]

So, [tex]x + a = \sqrt{bx + c}[/tex] is true for

[tex]a = 3; b =5\ and\ c = 65[/tex]

Solving (b): Solve for a, b and c --- to make the equation false

[tex]7 + a = \sqrt{7b + c}[/tex]

Substitute [tex]a = 4; b=5\ and\ c = 10[/tex]

So, we have:

[tex]7 + 4 = \sqrt{7*5 + 10}[/tex]

[tex]11 = \sqrt{35 + 10}[/tex]

Square both sides

[tex]121 = 45[/tex] --- This is false

i.e.

[tex]121 \ne 45[/tex]

According to the Rational Root Theorem, -2/5 is a potential rational root of which function? ) = 4x4.72#*#25 O Foxo = 9x47x+10 OF) = 10x - 729 Fox) = 25x4.72​

Answers

Answer:

Option (4)

Step-by-step explanation:

Option (1)

f(x) = 4x⁴- 7x²+ x + 25

Possible rational roots will be,

[tex]\frac{\pm \text{Factors of constant term '25'}}{{\pm \text{Factors of leading coefficient '4'}}}[/tex]

For the given function,

Possible rational roots = [tex]\frac{\pm 1, 5, 25}{\pm 1,2}[/tex]

                                      = [tex]\pm 1, \pm 5, \pm 25, \pm \frac{1}{2},\pm\frac{5}{2},\pm\frac{25}{2}[/tex]

Therefore, [tex]-\frac{2}{5}[/tex] is not the possible root.

Option (2)

f(x) = 9x⁴- 7x²+ x + 10

Possible rational roots = [tex]\frac{\pm 1,\pm 2,\pm 5,\pm10}{\pm 1,\pm3,\pm9}[/tex]

Therefore, [tex]-\frac{2}{5}[/tex] is not the possible root.

Option (3)

f(x) = 10x⁴- 7x²+ x + 9

Possible rational roots = [tex]\frac{\pm1, \pm3, \pm9}{\pm 1,\pm2,\pm5,\pm10}[/tex]

Therefore, [tex]-\frac{2}{5}[/tex] is not the possible root.

Option (4)

f(x) = 25x⁴- 7x²+ x + 4

Possible rational roots = [tex]\frac{\pm 1,\pm2,\pm5}{\pm1,\pm5,\pm 25}[/tex]

                                      = [tex]\pm1,\pm2,\pm5,\pm\frac{1}{5},\pm\frac{1}{25},\pm\frac{2}{5},\pm\frac{2}{25}[/tex]

Therefore, [tex]-\frac{2}{5}[/tex] is the possible rational root.

Option (4) will be the answer.

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20
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s)
The equation of a line is 2[v+ 1) = 10x* 3.
The yuntercept of the line is
and the slope of the line is

Answers

Answer:gotta go sorry

Step-by-step explanation:

Find the equation of the line that passes through the point (-5,7) and is perpendicular to the line y=-x+12.

Answers

Answer:

y=x+12

Step-by-step explanation:

y=-x+12; is a line with slope m1=-1

to find perpendicular slope of intersecting line take the negative inverse of m1. so -1*(1/(-1))=1=m2

use equation for a line of y=m*x+b and put in the point (-5,7) and solve for b=the y axis intercept

7=1*(-5)+b

7=-5+b

12=b

so

y=x+12

can someone walk me through this
3 = -2 |.25s - 5| +3​

Answers

Answer:

s = 20

Step-by-step explanation:

Given

3 = - 2 | 0.25s - 5 | + 3 ( subtract 3 from both sides )

0 = - 2 | 0.25s - 5 | ( divide both sides by - 2 )

0 = | 0.25s - 5 | , then

0.25s - 5 = 0 ( add 5 to both sides )

0.25s = 5 ( divide both sides by 0.25 )

s = 20

Answer: S=20

Step-by-step explanation:

Data: 3=-2(0.25s-5)+3

S=?

Step one, Multiply .25s and -5 by -2

-2x0.25s=-0.50s

-2x-5=10

Reason: When something is in parenthesis, that is the first thing you evaluate, and since -2 is right next to the parenthesis, you multiply both numbers by -2 to get -.50s and 10

Step two, add like terms

3=-.50s+10+3=3=-.50s+13

Reason: When there are like terms(terms with the same variable or same exponent, etc.) You have to add them or else evaluating things will get harder to do as you go on, in this case, the two like terms(3 and 10) added together get 13.

Step three, subtract 13 on both sides

3-13=-.50s+13-13

-10=-.50s

Reason: Because the point of this is to single out 's', you have to get rid of the 13 and since it's a positive 13, you add it to a negative to cancel it out, but what you do to one side you do to the other so you subtract 13 from 3 to get negative 10.

Step four, divide -.50 on both sides

-10/-.50=-.50s/-.50

S=20

Reason: Since you have to isolate 's' and it's right next to -.50(which means multiplication), you have to divide it to get rid of it. Since what you do to one side you do to the other, you divide -10 by -.50 to get 20=S

That's how you get the answer

I hope this helps!

determine the equation of the circle graphed below.

( help me please )

Answers

Answer:

(x+5)²+(y-4)²=17

Step-by-step explanation:

I think it's safe to assume that the (-5,4) coordinate is in the center

To find the x and y coordinate just flip the signs

which means it would look like

(x+5)²+(y-4)²=?

the question mark is equal to the raidus squared

to find the radius use the distance formula

√((-4+5)²+(8-4)²)= 4.123106

square this to get 17

the final answer is then

(x+5)²+(y-4)²=17

23. About how much would 4 horses weigh? Write the weight two different ways.​

Answers

An average horse weighs 900-2,000 pounds, depending on size and breed. A lean, racing fit Thoroughbred, for example, has an average weight of 900-1,100 pounds, while the average Clydesdale (think Budweiser) weighs in at 1,800-2,000 pounds

Answer:

If one horse will weigh about 2000 pounds, or 1000kg, then four horses will weigh about 8000 pounds or 4000kg

Please solve with explanation

Answers

Step-by-step explanation:

total wood= 45½=22.5 units

cut wood= 8⅞= 7 units

wasted wood= 1/16=0.06

now wood left is,

total wood -cut wood-wasted wood

22.5-7-0.06

15.44 units

pls help me find the operations of 3a^2+4a^2+7a^2​

Answers

Answer:

14a^2

Step-by-step explanation:

3a^2+4a^2+7a^2

Combine like terms

Factor out a^2

a^2(3+4+7)

a^2(14)

14a^2

Answer:

14 a²

Step-by-step explanation:

3a² + 4a² + 7a²

collect like terms

(3 + 4 + 7)a² .. ( factor out :- a²)

calculate the sum

14 a²

Which is greater, 2 miles or 1,000 yards? How much greater? Explain. Of 2 miles and 1,000 yards, _____ is greater. Since 2 miles is the same as _____ yards, _____ is __ yards greater than _____ . ​

Answers

Answer:

yards

Step-by-step explanation:

Answer:

Which is greater, 2 miles

1 mile = 1760 yards

2 miles = 2 * 1760

2 miles = 3,520 yards

How much greater?

3,520 - 1000 = 2520 yards

The quartile deviation and coefficient of quartile deviation of a continuous frequency distribution are 2 and 0.25 respectively. Find lower and upper quartiles.

Answers

Answer:

Lower quartile = 6

Uppwr quartile = 10

Step-by-step explanation:

Coefficient of quartile deviation = 0.25

Quartile deviation = 2

Coefficient of quartile deviation = (Q3 - Q1) / (Q3 + Q1)

Quartile deviation = (Q3 - Q1) / 2

Hence;

Quartile deviation = (Q3 - Q1) / 2 = 2

Q3 - Q1 = 2 * 2

Q3 - Q1 = 4 - - - - (1)

Q3 = 4 + Q1 - - - - (2)

(Q3 - Q1) / (Q3 + Q1) = 0.25

Q3 - Q1 = 4

4 = 0.25(Q3 + Q1)

Q3 + Q1 = 4 / 0.25

Q3 + Q1 = 16 - - - - (3)

Put Q3 = 4 + Q1 in (3)

4 + Q1 + Q1 = 16

4 + 2Q1 = 16

2Q1 = 16 - 4

Q1 = 12 / 2

Q1 = 6

Q3 = 4 + Q1

Q3 = 4 + 6

Q3 = 10

I need help on this question, URGENT so please help asap

Answers

Answer: D is correct since the two angles are vertical angles and can be proven congruent by the vertical angle theorem

Step-by-step explanation:

What is the common solution for the equations y = 2x + 1 and y = x + 3?

Write your answer an ordered pair!

Answers

Answer:

y^2 = 2x^2+x = x(2x+1) = xy => y^2 = xy => either y=0 or x = y

If y=0 then from y-2x=1, x=-1/2

If X=y then from y-2x = -x = 1 => x=y=-1

Step-by-step explanation:

answer=1

Answer:

(2,5)

Step-by-step explanation:

This is the graph for both equations and the solution is where both lines cross each other.

Hope this helps

Which of the following is NOT true about mathematical induction?

A.The first possible case is always n = 1.

B.Mathematical induction depends on a recursive process.

C.It can be used to prove that 1 + 2 + 3+...+n =
n(n+2)
2

D. Since Sn is valid for n = 1, it is valid for n = 2. Since it is valid for n = 2, it is valid for n = 3, and so on, indefinitely.​

Answers

Answer:

A. the first possible case is always n = 1

Step-by-step explanation:

Mathematical induction is a technique used to provide proof for a statement such that the statement holds for all natural numbers which are the non-negative integers

Therefore, given that the natural numbers are 0, 1, 2..., we have that mathematical induction can start from n = 0

Therefore, the statement which is not true is that the first possible case is always n = 1

Which are the solutions of the quadratic equation?
x² = 7x + 4

Answers

X= 7/2 + 1/2 square root (65)

Answer:

[tex]x = \frac{7 + \sqrt{65}}{2} \ , \ x = \frac{7 - \sqrt{65}}{2}[/tex]

Step-by-step explanation:

[tex]x^2 = 7x + 4 \\\\x^2 - 7x - 4 = 0\\\\ a = 1 \ , \ b = - 7 , \ c \ = \ - 4 \\\\x = \frac{-b \pm \sqt{b^2 - 4ac }}{2a}\\\\Substitute \ the \ values : \\\\x = \frac{7 \pm \sqrt{7^2 - (4 \times 1 \times -4)}}{2 \times 1}\\\\x = \frac{7 \pm \sqrt{49 + 16}}{2 }\\\\x = \frac{7 \pm \sqrt{65}}{2 }\\\\x = \frac{7 + \sqrt{65}}{2}\ , \ x = \frac{7 - \sqrt{65}}{2}[/tex]

A sphere has a diameter of 32 ft. What is its surface area?
The surface area of the sphere is
ft?. (Type an exact answer in terms of t.)

Answers

Step-by-step explanation:

the answer is in the above image

Answer:  1024pi

======================================================

Explanation:

The diameter 32 cuts in half to 16, which is the radius. So r = 16.

Use this to find the surface area of the sphere in the formula below

SA = 4*pi*r^2

SA = 4*pi*16^2

SA = (4*16^2)*pi

SA = 1024pi

This is the exact surface area in terms of pi.

The area units are in square feet, or ft^2 for short.

Select the outlier in the data set.
93
82
10
61
99
89
84
95
75
98
If the outlier were removed from the data set, would the mean increase or decrease?


Answers

Answer:

10

The mean would increase after the outlier is removed

Step-by-step explanation:

An outlier in a dataset is a number that differs significantly from the other data in the set.

In this question, 10 is the number that differs significantly from the other data in the set. Thus, it is the outlier.

Mean = sum of the numbers / total number

Mean including the outlier =  

(93+ 82  + 10  + 61  + 99  + 89  + 84  + 95  + 75  + 98) / 10 = 78.6

Mean without the outlier =

(93+ 82   + 61  + 99  + 89  + 84  + 95  + 75  + 98) / 9 = 86.2

the mean increased after the outlier was removed

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