What is the least common multiple of the two denominators?

Hey!!

(56-24)/8

=32/8

=4

The right answer is 4.

hope it helps

Good luck on your assignment

Answer:

Don't take my word for this but I think the max groups he can do is 16 because that is the lowest amount of marbles.

Step-by-step explanation:

The greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 4.

GCF or greatest common factor is the common number which all the term has in a group of terms. It is the number which can divide each number of the group.

John has 24 blue, 96 green, 16 gray, 16 red and 32 white marbles. He wants to place them in identical groups without any marbles left over.

To find such identical groups, we have to find the greatest common factor of all these numbers. The factors of all the numbers are,

Here, the 2×2×2 is the common factor which is appears in all the terms.

[tex]2\times2\times2=8[/tex]

Thus, the greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 8.

Learn more about the GCF here;

https://brainly.com/question/219464

#SPJ2

Answer:

(A) The M virus is larger than the P virus in diameter

(B) Diameter of virus M is 25 times the diameter of virus P

Step-by-step explanation:

Notice that the values given are in the so called "scientific notation", and which involves in this case negative exponents for the multiplier 10.

So we can write these values in decimal form for easier comparison of which one is he largest one:

Diameter of M virus = [tex]5\,*\,10^{-7}\,m = 0.0000005\,\,m[/tex]

Diameter of P virus = [tex]2\,*\,10^{-8}\,m = 0.00000002\,\,m[/tex]

Which clearly shows that virus M is larger than virus P in diameter

The quotient between diameters will give us the answer to how many times larger virus' M diameter is:

[tex]\frac{M}{P} =\frac{0.0000005}{0.00000002} \\\frac{M}{P} =25[/tex]

Answer:

22 blue blocks

17 green blocks

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

There are five more blue blocks than green blocks.

So, the number of blue blocks (b) is equal to the number of green blocks (g) plus 5.

Three times the number of green blocks (3g), increased by double the (+2b) number of blue, equals 95.  

The system is  

b = g+5

3g+2b =95

Replacing b=g+5 in the second equation:

3g + 2 (g+5)=95

Solving for g:

3g +2g+10 =95

5g = 95-10

5g=85

g= 85/5

g= 17

Replacing g=17 in the first equation:

b = g+5

b = 17 +5

b=22

Solution,

Cost price(CP)=Rs 400

Selling price (SP)=RS 380

loss percentage=?

Now,

Loss percentage=CP-SP/CP*100%

=400-380/400*100%

=20/400*100%

=5%

Hope it helps..

Good luck on your assignment

Answer:

x = 35°

Step-by-step explanation:

assuming that the straight line at the bottom of the figure is actually a straight line, that means all the angles along that straight line must add up to 180 °

i.e.

40 + (2x+30) + 40 = 180

40 + 2x+30 + 40 = 180

110 + 2x = 180  (subtract 110 from both sides)

2x = 180 - 110

2x = 70

x = 35

Answer:

x=35

Step-by-step explanation:

The 3 angles are on a straight line. A straight line is equal to 180 degrees. Therefore, the 3 angles are supplementary and add to 180 degrees.

40+2x+30+40=180

Combine like terms. Add all the terms on the left side without a variable.

2x+(40+30+40)=180

2x+110=180

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

110 is being added to 2x. The opposite of addition is subtraction. Subtract 110 from both sides.

2x+110=180-110

2x=180-110

2x=70

x is being multiplied by 2. The opposite of multiplication is division. Divide both sides by 2.

2x/2=70/2

x=70/2

x=35

Answer:

1.5

45

Step-by-step explanation:

The probability for each answer is 1/4

Each question has an expected value of 1.5 points.

The expected score of the test is 30*1.5= 45 points

Answer:

A.

Step-by-step explanation:

-3x-7y = 10

In slope - intercept form

y = -3/7x - 10/7

Since the lines are parallel so the slopes will be equal

m = -3/7

Now

Point = (x,y) = (-5,-3)

So, x = -5, y = -3

Putting in slope intercept form to find b

y = mx+b

-3 = (-3/7)(-5) + b

-3 = 15/7 + b

7b = -21-15

7b = -36

b = -36/7

Now the slope intercept form for the line is

y = -3/7x-36/7

Answer:

Option (D). 536.2 yd³

Step-by-step explanation:

Radius of the circular base of the cone = 8 yd

Height of the given cone = 8 yd

Formula for the volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base of the cone

h = height of the cone

By substituting the values of r and h in the formula,

V = [tex]\frac{1}{3}\pi (8)^2\times (8)[/tex]

   = [tex]\frac{1}{3}(512\pi )[/tex]

   = 526.165

   ≈ 526.2 yd³

Therefore, volume of the given cone is 526.2 yd³.

Option (D) will be the answer.

Answer:

D

Step-by-step explanation:

Answer:

Equivalent expression:

a) -9

b) 3

c) 9

d) -3

Step-by-step explanation:

The Property of Additive Inverse states that the summation of a number and it's Additive inverse = 0

An Additive inverse of a positive integer is a negative integer and vice versa.

For example:

5 -5 = 0

The additive inverse of 5 = -5

For the question above, we are asked to use the additive inverses and their properties to find the equivalent expressions.

a) 6 -(-3)

Additive inverse = - 6 + (-3)

= -6 - 3 = - 9

b) -6 -3

Additive inverse = 6 +(-3)

= 6 - 3 = 3

c) 6 - 3

Additive inverse = 6 + 3

= 9

d) -6 - (-3)

Additive inverse = -6 + 3

= -3

Answer:

6 - (- 3)     arrow goes to 6 + 3

6 - 3         arrow goes to 6 +  (- 3)

- 6 - (- 3)  arrow goes to -6 + 3

- 6 - 3       arrow goes to - 6 + (- 3)

Answer:

382.5 square inches

Step-by-step explanation:

The surface area of a 3D object is the sum of the area of all of the surfaces. Therefore, the surface area of this prism is:

[tex]9\cdot 13.5 + 2(\dfrac{1}{2} \cdot 10\cdot 9)+ 9\cdot 9 + 10\cdot 9= 382.5[/tex] square inches.

Hope this helps!

Answer:

C

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= 5x - 2 + 2x + 1 ← collect like terms

= 7x - 1 → C

Answer:

it is C.

Step-by-step explanation:

Answer:

three functions are

f(x) = 3(x + 4)^2 + 1

g(x) = 2x^2 - 16x + 15

h(x) = a(x - 1) - 3

Axis of symmetry for f(x) is x=-4 For g(x)

by taking the derivative

g'(x) = 4x - 16

= 4(x - 4)

The Axis of symmetry for g(x) is x=4

The Axis of symmetry for h(x) is x=1

hope it helps

Answer:

8/16

Step-by-step explanation:

Answer:

The functions are not inverses because for each  ordered pair (x, y) for one function, there is no  corresponding ordered pair (y, x) for the other function.  

Step-by-step explanation:

In the figure attached, the tables are shown.

For example, in table A the pair (1, 1051.21) is present, but the pair (1051.21, 1) is not present in Table B. Therefore, the functions are not inverses.

Answer:

The answer is D

Step-by-step explanation:

Answer:

-2.5 and 2.5 compare to eachother on the number line because they are the exact same distance away from 0.

Step-by-step explanation:

0 is in the very middle and to get -2.5 you go to the left 2.5 paces but to get to +2.5 you go to the right 2.5 paces. Either way you have to move Exactly 2.5 paces either to the left or right depending on if you want a positive or negative.

Answer:

- 22

Step-by-step explanation:

To find the y- intercept let x = 0 , that is

y = 0² + 10(0) - 22 = 0 + 0 - 22 = - 22 ← y- intercept

Answer:

(9,-5)

Step-by-step explanation:

Find the middle of each of the x and y coordinates. Then put that together.

Answer:

The correct answer is

(9, -5)

Find the middle of each of the x and y coordinates. Then you can plug in each x/y into a coordinate. This will get you the midpoint.

Hope I could help

- Quinn :)

Answer:

the United States 2020 population is estimated at 331,002,651 people at mid year according to UN data. the United States population is equivalent to 4.25% of the total world population.

Answer:

x22.1135647

Step-by-step explanation:

7,010,000,000 divide 317,000,000 =22.1135647

Answer:

7x4

28

Step-by-step explanation:

Answer:

The correct answer is D. 28 miles

Step-by-step explanation:

Because 7 miles in 2 hrs so in 8 hrs it will be 28 miles.

Answer: square root of 500

Step-by-step explanation:

10 squared is 100

100 * the square root of 5 = the square root of 500.

Answer:

0, 1, and 4

Step-by-step explanation:

Since the denominator of a fraction must not be 0 or it would be undefined, when the denominator is 0 is where you will find your restrictions:

[tex]x^3-5x^2+4x=0 \\\\x(x^2-5x+4)=0 \\\\x(x-1)(x-4)=0[/tex]

Therefore, by the zero product property, the restrictions are 0, 1, and 4. Hope this helps!

Answer:

X cannot equal 0,1,4

Step-by-step explanation:

The restrictions are when the denominator goes to zero

x^3 -5x^2 +4x

Factor an x

x( x^2 -5x+4)

x( x-4) (x-1)

Set each term to zero

x=0  x-4 =0   x-1=0

x=0  x=4   x=1

X cannot equal 0,1,4

Answer:

area 4.5

Step-by-step explanation:

C has the largest Area. It's area is 4.5

hope this helps

Answer:

C has the largest area.

Step-by-step explanation:

3x3=9, 9/2=4.5

Answer:

Quotient = (1 + b)/2b

Step-by-step explanation:

The term quotient implies the result after dividing a number or expression by another number or expression.

In other words,

Quotient = Dividend/Divisor

From the question, we understand that

Dividend = Number that is 1 greater than a number b

So,

Dividend = 1 + b

And

Divisor = Number that is twice as large as b...

So, Divisor = 2 * b

Divisor = 2b

Recall that:

Quotient = Dividend / Divisor

Quotient = (1 + b)/2b

Answer:

3, 4

Step-by-step explanation:

do KFC or KCF doesn't matter you get the same answer

1/2 times 3/2 is 3/4

if you want to make sure it is correct multiply 3/4 by 2/3 and it gives you 1/2

Answer:

1/2 ÷ 2/3 = 1/2 × 3/2 = 3/4

Step-by-step explanation:

Answer:

8

Step-by-step exp8lanation:

Answer:

to calculate the number of protons and neutrons, you can look at the element on the periodic table. the number of protons is equal to the atomic number of the element (for example, hydrogen is the first element on the periodic table, so it has 1 proton).

The number of neutrons is the mass number (listed on the periodic table as well) - the number of protons, aka the atomic number.

for example, for the element krypton, we take the mass number, 83.80, and round it up to 84. Then we subtract it's atomic number, 36, from it, to get 48, which is the number of neutrons in the atom

Answer:

A

Step-by-step explanation:

The rule is, whenever you plug in g(x) into f(x) or vice versa, they always must equal x. So if you plugged in g(x) into f(x), then the outcome should be x. If the output is not x, then they are not inverses.

Answer: The answer is C 5/8 yards

Step-by-step explanation:

Answer:

313131 total books

Step By Step Explanation: We can use the equation 9.9%x=31000 and x represents the total number of books.

We could also convert this percent to a decimal by moving it two places to the left (0.99).

Nevertheless, we can divide both sides by 9.9% to find that the total number of books is 313131 books.