Find the product.
0 100
of 24
A. 8
B. 15
C. 11
D. 9

Using distributive property, the solution to the given expression is: 50v - 40w + 20

The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

For example:

4(3 + 5)

According to the distributive property, you first have to multiply out the bracket to get:

4*3 + 4*5 = 12 + 20

= 32

Thus:

5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)

= 50v - 40w + 20

Read more about Distributive property at: https://brainly.com/question/4077386

#SPJ1

Answer:

I started by dividing 2940 by the smallest prime that would fit into it, being 2. This left me with another even number, 1470, so I divided by 2 again. The result, 735, is divisible by 5, but 3 divides in also, and it's smaller, so I divided by 3 to get 245. This is not divisible by 3 but is divisible by 5, so I divided by 5 and got 49, which is divisible by 7.

Answer:

n ≈ 69.5

Step-by-step explanation:

using the cosine ratio in the right triangle

cos75° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{18}{n}\) ( multiply both sides by n )

n × cos75° = 18 ( divide both sides by cos75° )

n = \(\frac{18}{cos75}\) ≈ 69.5 ( to the nearest tenth )

The weight of the beaker, including the weight of the water, is approximately 173.1 ounces when rounded to the nearest tenth. To find the weight of the beaker when filled with water, including the weight of the cylindrical beaker itself, we need to calculate the weight of the water and add it to the weight of the empty beaker.

First, let's find the volume of the water in the beaker. The beaker is filled to one inch from the top, which means the height of the water is 11 - 1 = 10 inches.

The volume of the water can be calculated using the formula for the volume of a cylinder: \(V = \pi r^2h\), where r is the radius and h is the height.

\(V = \pi (3^2)(10) = 90\pi\) cubic inches

Next, we need to find the weight of the water. Given that one cubic inch of water weighs 0.6 ounces, we can multiply the volume of the water by 0.6 to get the weight of the water.

Weight of water = 90π x 0.6 = 54π ounces

Finally, we need to add the weight of the empty beaker, which is 3.5 ounces, to the weight of the water.

Weight of beaker with water = 54π + 3.5 ounces

To find the approximate value, we can use the value of π as 3.14.

Weight of beaker with water ≈ 54 x 3.14 + 3.5 ≈ 169.56 + 3.5 ≈ 173.06 ounces

For more such questions weight

on https://brainly.com/question/2335828

#SPJ8

Hello!! :D

Answer: 40.5, 45, 57

Hope this helps! Have a wonderful day! :D

Thus, there are 169 different ways that a player could choose a diamond and a club.

A deck of 52 bridge cards contains 13 cards in each of the four suits—diamond, spade, club, and hearts—for a total of 52 cards. One of the earliest activities can be thought of as diamond choosing. \($A_1$\) and the second endeavour \($A_2$\) determines which club to join. Apply the adage "If two things, multiply them by two." \($A_1$\) and \($A_2$\) is possible to perform in \($n_1$\) and \($n_2$\) many methods, correspondingly. The total number of ways that are then \($A_1$\) then comes \($A_2$\) being able to be done \($n_1 \times n_2$\) "

Here, \($n_1=13$\) and \($n_2=13$\), In the following rule, change the values as follows:

\($$\begin{aligned}n_1 \times n_2 & =13 \times 13 \\& =169\end{aligned}$$\)

The user can choose a diamond and a club in one of 169 different ways. When I see a SPADE, I should square the item to the left, square the item to the right, add the two items, and then take the square root of that sum.

To learn more about spade selection refer to :

https://brainly.com/question/1243126

#SPJ4

Answer:

true because a negative number is less than a positive number

Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

Answer:

a 3² +4² = 25 the factors are 5²

b 8²+6²= 100 the factors are 5²and 2²

c 12²+5²= 169 the factors are 13²

d 8²+15²= 289 the factors are 17²

Answer:

green = 1.5  blue = 1/3 red = 0.75

Step-by-step explanation:

Answer:

Profit of one small cake =£108.08

Step-by-step explanation:

small : medium : large = 5 : 7 : 12

Sum of the ratio = 5 + 7 + 12 = 24

Total number of cakes = 216

Number of small cakes

                                 \(= \frac{5}{24} \times 216 = 5 \times 9 = 45\)

Number of medium cakes

                                 \(= \frac{7}{24} \times 216 = 7 \times 9 = 63\)

Number  of large cakes

                                 \(=\frac{12}{24} \times 216 = 12 \times 9 = 108\)

Let profit of one small cake be = x

Profit of medium cake is twice profit of small cake = 2x

Profit of large cake is thrice profit of small cake = 3x

Total profit = £648.45

x + 2x + 3x = £648.45

6x = 648.45

x = 108.075

Therefore , profit of one small cake =£108.08

Step-by-step explanation:

216 cakes =5+7+12

=24

5 = 216 cakes ÷ 24 × 5

= 45 cakes

7 = 216 cakes ÷ 24 × 7

= 63 cakes

12 = 216 cakes ÷ 24 × 12

=108 cakes

£648.45 ÷ (45+63+63+108+108+108)cakes = £648.45 ÷ 495

= £1.31

45 cakes × £1.31 = £58.95

i not sure,hope it help.

Answer:

Step-by-step explanation:

2 lbs.  x    1 wk.  

   wk.       7 days

= 2/7 lbs./day

or

= 0.29 lbs./day

0.5236 meters is the length of the given arc.

The formula for the length of an arc is given by:

Arc Length = (θ/360) * 2πr

Where:

In this case, the central angle is 60 degrees and the radius is 1/2 meters.

Plugging the values into the formula, we have:

Arc Length = (60/360) * 2π(1/2)

Arc Length = (1/6) * π

Arc Length = π/6

Therefore, the length of the arc that subtends an angle of 60 degrees at the center of a circle with a radius of 1/2 meters is π/6 meters or approximately 0.5236 meters.

Learn more about arc here:

https://brainly.com/question/31612770

#SPJ1

all work should be in the picture, lmk if theres anything confusing

Step-by-step explanation:

For example: Subtract 4x - 10y + 15z from 5x + 8y - 20z.

Step 1: Arrange the polynomials in standard form. In this example, it is already arranged.

Step 2: Place them horizontally.

(4x - 10y + 15z) - (5x + 8y - 20z)

Step 3: Change the sign of the second polynomial through the parentheses.

4x - 10y + 15z - 5x - 8y + 20z

Step 4: Arrange the like terms together.

4x - 5x - 10y - 8y + 15z + 20z

Step 5: Solve the equation

-x - 18y + 35z

Therefore, when we subtract 4x - 10y + 15z from 5x + 8y - 20z = -x - 18y + 35z.

Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.

Let's denote the original scholarship amount as "P."

According to the given information, Margaret receives $72,000, which means the remaining scholarship amount for the other three individuals is P - $72,000.

Ron receives 1/3 of the scholarship, which can be represented as (1/3)(P - $72,000). Nick receives 1/4 of the scholarship, which can be represented as (1/4)(P - $72,000). Mary receives the same as Nick, so Mary's share is also (1/4)(P - $72,000).

Now, we can sum up all the shares to equal the original scholarship amount:

Ron's share + Nick's share + Mary's share + Margaret's share = P

(1/3)(P - $72,000) + (1/4)(P - $72,000) + (1/4)(P - $72,000) + $72,000 = P

To simplify the equation, we can combine like terms:

(P/3 - $24,000) + (P/4 - $18,000) + (P/4 - $18,000) + $72,000 = P

Combining the fractions and constants:

(4P + 3P - 3P + 12P)/12 - $24,000 - $18,000 - $18,000 + $72,000 = P

16P/12 - $48,000 = P

Multiplying both sides of the equation by 12 to eliminate the denominator:

16P - $576,000 = 12P

Subtracting 12P from both sides of the equation:

4P = $576,000

Dividing both sides of the equation by 4:

P = $144,000

Therefore, the original scholarship amount is $144,000.

Ron's share: (1/3)($144,000 - $72,000) = $24,000

Nick's share: (1/4)($144,000 - $72,000) = $18,000

Mary's share: (1/4)($144,000 - $72,000) = $18,000

Margaret's share: $72,000

Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.

For more questions on share

https://brainly.com/question/30319374

#SPJ8

The volume of larger coin is 2,275.5cm³

What is volume of cone?

The volume of a cone is defined as the amount of space or capacity a cone occupies. The volume of cone is measured in cubic units like cm3, m3, in3, etc. A cone can be formed by rotating a triangle around any of its vertices. A cone is a solid 3-D shape figure with a circular base. It has a curved surface area.

Let the Slant height of smaller cone =l

Let the Slant height of larger cone =L

Let the radius of smaller cone =r

Let the radius of larger cone =R

Let height of smaller cone =h

Let height of larger cone =H

When cones are mathematically similar ,then

H/h=L/l=R/r=K(say)…

T.S.A of a smaller cone=πr(l+r)

T.S.A of a larger cone = πR(L+R)

Divide T.S.A of larger cone to Smaller cone

r(l+r)/R(L+R)

= 270/480 = 9/16

r(l+r)/k²r(l+r)=9/16

1/k²=9/16

k=3/4

Also, it is given that

volume of smaller cone is 960cm³

1/3πr²h=960

1/3π(3/4R)²(3/4H) =960

27/64×1/3π(R)²(H)= 960

Volume of larger cone = 960×64/27

                                      =2,275.5cm³

To know more about volume of cone visit:

brainly.com/question/29767724

#SPJ1

Answer:

10 units²

Step-by-step explanation:

The shape is a triangle.

The area can be found by multiplying the base (in units) with height (in units) divided by 2.

base = 4 units

height = 5 units

\(\frac{4 \times 5}{2}\)

\(\frac{20}{2} =10\)

Answer:

Step-by-step explanation:

The decrease in value is ...

  15% of $233,000 = $34,950

The current house value is ...

  $233,000 -34,950 = $198,050

Answer:p= -18

Step-by-step explanation:Let's solve your equation step-by-step.

5/4 P= 4/3 P + 3/2

Step 1: Subtract 4/3p from both sides.

5/4 P - 4/3 P = 4/3 P + 3/2 - 4/3 P

-1/12 P = 3/2

Step 2: Multiply both sides by 12/(-1).

(12/-1) × (-1/12 P) = (12/-1) × (3/2)

P = -18

Answer:

p = - 18

Step-by-step explanation:

5        4          3

--- p =  --- p + ---

4         3         2

5        2²          3

--- p =  --- p + ---

2²         3         2

5p     2² * p       3

---  =  ---------  +  ---

2²          3          2

p = - 18

Answer:

6

Step-by-step explanation:

Answer:

2 or A

Step-by-step explanation:

Correct on edge22

In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.

Since, We know that;

In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.

This balance is important because too much excitatory signaling can cause overstimulation and potential harm, while too much inhibitory signaling can lead to neural suppression and lack of responsiveness.

Hence, The proper balance between the two types of signals is necessary for healthy neuronal activity, and maintaining that balance is a key aspect of neural health.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

37.9 degrees

Step-by-step explanation:

Using the law of sines, \(\frac{\sin(m\angle C)}{21}=\frac{\sin(47^\text{o})}{25}\). It follows that \(\sin (m\angle C) = \frac{21\sin(47^\text{o})}{25} \approx 0.6143371\). Therefore, \(m\angle C = \sin^{-1}(0.6143371)=37.9^\text{o}\).

Answer:

He ran 1,186 m farther

Step-by-step explanation:

4 km => 4000 m

now,

5,186 m - 4,000 m

=> 1,186 m

Answer:

2 and 5 are correct

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

If x = 0, f(x) = -15.

If f(x) = 27, x = 3.

Answer:

I believe in the question it only states 4% interest without any time factor so therefore it would be $10 interest for 1 month or 8 months

Is this a trick question?

Step-by-step explanation: