Show how the greatest common factor of the numbers 10 and 15 can be used to reduce the fraction 10/15.

Answers

Answer 1

Answer:

2/3

Step-by-step explanation:

The greatest common factor is 5 because it can divide two of them. When you divide 10/15, it becomes 2/3.


Related Questions

Which item is more economical?

Answers

Answer:

what are the items

Step-by-step explanation:

2. The fraction 84 by 98 in simplest form is​

Answers

Answer: 6/7

Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7

Answer:6/7

Step-by-step explanation:The greatest common factor of both numerator and denominator is 14.So if you divide 84 by 14 you will get 6 and if you divide 98 by 14 you get 7.

what is 2/3 divided by -1 1/3​

Answers

I think it is -0.5 because 2/3 is 0.66 repeated then I -1 1/3 equals - 1/3 so you just divide both and it equals -0.5

If the cost of fencing a rectangular garden per meter is rupees 5 . Find the amount needed to do the fencing of the garden with length 400 m and breadth 150 m .

Answers

Answer:

6500 rupees

Step-by-step explanation:

We are given a rectangular garden is the dimensions of:

Length = 400 m

Breadth = 150 m

Perimeter of a rectangle = 2(L + B)

= 2(400 + 150)

= 2(650)

= 1300m

We are told that the cost of fencing a rectangular garden per meter is rupees 5

1 m = 5 rupees

1300m =

Hence, the cost to fence the entire garden = 1300 × 5 rupees

= 6500rupees

Gabriella has a smart phone data plan that costs $25 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Gabriella have to pay in a month where she used 5 GB over the limit? How much would Gabriella have to pay in a month where she used went over by x x GB?

Answers

I believe the answer would be 75+25= so $100

The net of a rectangular prism is shown below. What is the total surface area of this prism

Answers

Answer:

142 cm^2

Step-by-step explanation:

Okay, we can first break this down into 3 different rectangles.

3 x 5 rectangle

16 x 7 rectangle

3 x 5 rectangle.

From here, we just multiply these out and add them. 15 + 15 + 112 = 142. So our answer is 142 cm^2  

Answer:

142 cm²

Explanation:

to find the surface area, you need to find the area of all of the boxes within the image above add them all together.

Starting in the middle row and working from left to right it is,

7×3+7×5+7×3+7×5

21+35+21+35=112

Than the bottom and top box is

3×5+5×3

15+15=30

Than you add both of them together,

112+30=142

What is the value of the rational expression below when x is equal to 3?
12 - x/X-6
A. 3
B. -3
C. 9
D. -9

Answers

Answer:

-3

Step-by-step explanation:

12 - x/x - 6 where x = 3

12 - 3/3 - 6

9/-3

- 9/3

- 3

PLEASE ANSWER QUICKLY ASAP ​

Answers

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope / gradient

c is the y intercept

a).

y = 3x + 7

Comparing this equation with the general form above

Gradient of the line = 3

b).

2y - 6x = 8

Divide both sides by 2

We have

y - 3x = 8

To make y the subject move 3x to the right side of the equation

That's

y = 3x + 8

Comparing with the general form above that's y = mx + c

The gradient = 3

c).

y = 3x + 7

A(2 , y ) , B( x , 4)

Since they lie on the line we can substitute their values into the equation to find the missing points

For A(2 ,y)

We have

y = 3(2) + 7

y = 6 + 7

y = 13

For B( x , 4)

4 = 3x + 7

3x = 4 - 7

3x = - 3

Divide both sides by 3

x = - 1

Hope this helps you

in june , john withdrew 1/5 of the money in his savings account. in july he withdrew 1/3 of what remained. in august, he withdrew 1/4 of the remaining balance.if he made no other transactions and ended up with $480 in her account, what did he start with?

Answers

Answer

28,800$

Step-by-step explanation:

480 x 4 = 1920 x 3 = 5760 x 5 = 28800

find the slope that passes through the points : (-2, 5) & (-7,8)

Answers

Answer:

-3/5

Step-by-step explanation:

We can find the slope using the slope formula

m= ( y2-y1)/(x2-x1)

    = ( 8-5)/(-7 - -2)

    = (8-5)/(-7+2)

   = 3/-5

  - 3/5

When you subtract two positive integers is the result always a positive integer

Answers

Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm

Write a real-life problem that you can solve using a 45 degree, -45 degree, -90 degree triangle with an 18-ft hypotenuse. Describe your solution

Answers

Answer:

A triangle with angles:

"45°, 45°, 90°"

Is a triangle rectangle, with two catheti of equal length.

Now, there is a lot of problems that you can solve with this:

"Suppose that you want to find the height at which you need to attach a wire in a tree, such that the distance between the tree and the ground is 18ft, and the distance between the base of the tree and the two points where the wire is fixed is exactly the same"

Well, here we have a triangle rectangle with a hypotenuse of 18 ft, with cathetus of equal length (the catheti are the tree and the distance between the base of the tree and the point where the wire is attached at the ground)

And because the catheti are equal, then the angles are 45°, 45° and 90°.

2. What is the area of rhombusABCD? (Assume the diagonals of rhombus ABCD are equal).

Answers

Answer:

A=pq/2

=4.25·4.25/2

=9.03125

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer:

Step-by-step explanation:

Diagonal of rhombus bisect each other.

d₁ = AC = 4.25*2 = 8.5 cm

d₂ = 8.5  {Given diagonals are equal}

Area of rhombus = [tex]\frac{d_{1}*d_{2}}{2} \ where \ d_{1} \ and \ d_{2} \ are \ diagonals[/tex]

                            [tex]=\frac{8.5*8.5}{2}\\\\= \frac{72.25}{2}\\\\= 36.125 \ cm^{2}[/tex]

expand (x-4)^4 with binomial theorem or pascal's triangle

Answers

Answer:

(x-4)^4=x⁴+4x³(-4)¹+6x²(-4)²+4x¹(-4)³+(-4)⁴

=x⁴-16x³+96x²-256x+256

Please help me to solve this question ​

Answers

Answer:

x = 64°, y = 32°

Step-by-step explanation:

The sum of the angles on a straight line = 180° , then angles on PS are

2x + y + 20 = 180 ( subtract 20 from both sides )

2x + y = 160 → (1)

Angles on QT are

x + 3y + 20 = 180 ( subtract 20 from both sides )

x + 3y = 160 → (2)

Solve (1) and (2) simultaneously

Rearrange (1) expressing y in terms of x by subtracting 2x from both sides

y = 160 - 2x → (3)

Substitute y = 160 - 2x into (2)

x + 3(160 - 2x) = 160 ← distribute and simplify left side

x + 480 - 6x = 160

- 5x + 480 = 160 ( subtract 480 from both sides )

- 5x = - 320 ( divide both sides by - 5 )

x = 64

Substitute x = 64 into (3)

y = 160 - 2(64) = 160 - 128 = 32

Then

x = 64°, y = 32°

A circle has a radius of \sqrt{45} 45 ​ square root of, 45, end square root units and is centered at (-2.4,-4.8)(−2.4,−4.8)left parenthesis, minus, 2, point, 4, comma, minus, 4, point, 8, right parenthesis.

What is the equation of this circle?

Answers

Answer:

(x + 2.4)² + (y + 4.8)² = 45

Step-by-step explanation:

Circle equation:

(x - h)² + (y - k)² = r², where (h, k) is the center, r - radius

Substitute the values to get the equation:

(x - (- 2.4))² + (y - (-4.8))² = (√45)²(x + 2.4)² + (y + 4.8)² = 45

Answer:

(x+2.4)^2 + (y+4.8)^2 =45

Step-by-step explanation:

what does range mean in maths

Answers

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
Biggest value-smallest value



Hope this helps

What is the surface area of the rectangular prism below?

A. 736 units2

B. 812 units2

C. 706 units2

D. 824 units2

Answers

Answer:it’s A

Step-by-step explanation:

took the test

PLEASE HELP!!

Complete the equation.

(13)^2 (13)^-14 (13)^5 = 13 [ ]a0

Answers

Answer:

(13)^2 (13)^-14 (13)^5

=2197

Answer:

13^3

Step-by-step explanation:

-4+2+5=3

is it . that or something else ??

56 is less than the square of 10 ​

Answers

Let X be the positive number.

From the given condition, we get X = X^2–56

=> X^2-X-56=0

Factorizing the above equation,

=> X^2–8X+7X-56=0

X(X-8)+7(X-8)=0

(X-8)(X+7)=0

X=8 or -7

Since it is said the number is positive. Our output number will be 7

The average monthly rainfall for 6 months was 28.5 mm. If it had rained 1mm more each month what would the average have been? By how much would the total have been increased in six months and by how much would average have been increased per month? What's the answer??

Answers

Answer:

29.5 mm

Step-by-step explanation:

We are told that the average monthly rainfall for 6 months was 28.5 mm.

Thus, total for the 6 months = 28.5 × 6 = 171 mm

Now, we are told that it rained 1 mm extra each month.

So extra for the six months = 1 × 6 = 6mm

New total for 6 months = 171 + 6 = 177 mm

So, new average for 6 months = 177/6 = 29.5 mm

Can you just answer this question quickly please what is the answer to 420 12 it is multiplication. thanks

Answers

Answer:

the answer to 420 times 12 is 5,040

Step-by-step explanation:

Answer: The answer would be 5040.

Step-by-step explanation:

if A is a subset and equal to B then B'-A' is equal to​

Answers

Answer:

A-B

Step-by-step explanation:

It doesn't say A=B... But just that A is a subset of B.

Anyways, why not try an example to help reveal the answer.

Let the universe set, U, be U={1,2,3,4,5,6}.

Let B={1,2,3,4} and A={1,3,5}

First choice would become A'={2,4,6}

Second choice would become B'={5,6}

Third choice would become A-B={5}

Fourth choice is just { }

B'-A'={5}

The only choice matching is A-B

*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.

A baby weighs 100 ounces. Find the baby's weight in pounds and ounces.​

Answers

Answer: 6 pounds, 4 ounces

Work Shown:

1 pound = 16 ounces

100/16 = 6.25

100 ounces = 6.25 pounds

100 ounces = 6 pounds + 0.25 pounds

-------

1 pound = 16 ounces

0.25*1 pound = 0.25*16 ounces

0.25 pounds = 4 ounces

------

100 ounces = 6 pounds + 0.25 pounds

100 ounces = 6 pounds + 4 ounces

100 ounces = 6 pounds, 4 ounces

Draw graph x + y = 7 and x - y = 2 on the same graph

Answers

Graphed in attached file and drawn!

Answer:

see attachment

Step-by-step explanation:

change 7/8 as a fraction in simplest form

Answers

Answer:

It's already it in it's simplest form. You can find the simplest form by dividing the fraction by two ( 4/8 for example, you can divide 4 by two, giving you 2, and divided 8 by two, giving you 4, which makes 2/4, and do it once more, giving you 1/2.

What are the answers to the following.​

Answers

Answer:

Step-by-step explanation:

[tex]8-11 =-3\\\\b. -8+10 = 2\\\\c. 13+(-6) = 13-6 \\= 7\\\\d. 7-(-3)\\= 7+3\\=10\\\\e.-5-(-2)\\=-5+2\\=-3\\\\f. -15-(-25)\\=-15+25\\=10\\\\g. -3+(-6)-(-9)\\= -3-6+9\\=-9+0\\=0\\\\h.-20-(-9)-(-8)\\=-20+9+8\\-20+17\\=-3\\\\[/tex]

[tex]-2+3-(-4)+(-5)\\-2+3+4-5\\= 1-1\\=0\\\\\\b. 18-(-10)+(-19)-8\\=18+10-19-8\\28-27\\=1\\\\c. 65+(-72)-(-45)\\= 65-72+45\\=-7+45\\=38[/tex]

What is the measure of angle X?

Answers

Answer: 71 degrees

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

Explanation:

Focus on triangle BDH

Interior angles B and D are given to be 40 and 31 respectively. Interior angle H is unknown

For any triangle, the interior angles always add to 180

B+D+H = 180

40+31+H = 180

H+71 = 180

H = 180-71

H = 109

Interior angle H is 109 degrees for triangle BDH

The exterior angle is 180 minus this measure

exterior angle = 180 - (interior angle)

exterior angle = 180 - 109

exterior angle = 71

Note how this is the sum of interior angles B and D, so you could use the remote interior angle theorem here.

13 = 2m + 5

whats m?

Answers

4 is the correct answer

Answer:

M is 4

Step-by-step explanation:

in order to solve, 13=2m+5, you need to subtract 5 from both sides.

13=2m+5

-5        -5

Which is,

8=2m, then you divide both sides by 2. That gives you, 4=m. Therefor, m is 4.

Two-Step Column Proofs.

Answers

Answer:

See below.

Step-by-step explanation:

1. m∠4 + m∠6 = 180

Reason: m∠4 = 120 & m∠6 = 60. 120 + 60 = 180

2. m∠4 + m∠5 = 180

Reason: m∠4 = 120 & m∠5 = 60. 120 + 60 = 180

3. m∠4 + m∠5 = 180 = m∠4 + m∠6

Reason: m∠4 = 120. m∠5 & m∠6 = 60. 120 + 60 = 180

4. m∠4 = m∠4

Reason: 120 = 120. No difference between
•••••••••••••••••••••••••••••••••••••••••••••••••••
m∠5 = m∠6

Reason: the type of triangle that we’re looking at is a equilateral triangle meaning all angle measures measure the exact same thing. If one measure measures 60, the other measure measures 60.

m∠4 + m∠6 = 180

Reason: m∠4 = 120 & m∠6 = 60. 120 + 60 = 180
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