The base of a regular pyramid is a hexagon.

Answer: while solving an equation involving fractions we eliminate the fraction by multiplying the LCD of all the denominators present in the equation . LCD means Least common Denominator so for this question when we try to eliminate the denominator we first try to find the LCM (2,4,6) because that will give us the LCD.

2=2

4=2·2

6=2·3

LCM = 2·2·3

LCM = 12

It means we need to multiply the 12 to each term of equation to eliminate the fractions before solving.

12

To eliminate the fractions, multiply the equation by the 12

A equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

[tex]x-\frac{5}{4}+2x=\frac{5}{6}+x[/tex]

To eliminate the fractions, multiply by the L.C.M of the denominator of the fraction i.e. 12 to get:

12x - 15 + 24x = 10 + 12x

Find out more on Equation at: https://brainly.com/question/2972832

Answer: Graph is shown in the attached image below

This is a V shaped graph with the vertex at (3,0). The V opens upward

Explanation:

The equation y = |x-3| is the result of shifting the parent function y = |x| three units to the right. The vertex moves from (0,0) to (3,0). The "x-3" portion moves the xy axis three units to the left. If we held the V shape in place while the xy axis moved like this, then it gives the illusion the V shape moved 3 spots to the right.

Side note: the equation y = |x-3| is composed of two linear functions y = x-3 and y = -x+3. The value of x will determine which gets graphed. When x < 3, then we'll graph y = -x+3; otherwise we graph y = x-3. This is known as a piecewise function.

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = expected outcome of event/total outcome of event

Given the total amount of chocolate in a box = 39chocolates

Amount of nuts = 16

Mount of caramel = 13

Amount of solid chocolate = 10

If he randomly selects a nut chocolate and eat, the probability of selecting a nut chocolate = Amount of nuts/total chocolate in the box = 16/39

IF he selects a seconnd piece (caramel chocolate) and eat, the probability of selecting a caramel chocolate = Amount of caramel/total chocolate in the box = 13/39 = 1/3

The probability of selecting a nut chocolate followed by a caramel chocolate will be 16/39*1/3 = 16/117

Answer:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Answer:

Two remote interior angles.

Answer:

All numbers greater than 5, i.e., [tex]x>5[/tex] .

Step-by-step explanation:

The given inequality is  

[tex]80x>150+50x[/tex]

Isolate variable terms on one side to find the solution.

Subtract  50x from both sides.

[tex]80x-50x>150+50x-50x[/tex]

[tex]30x>150[/tex]

Divide both sides by 30.

[tex]\dfrac{30x}{30}>\dfrac{150}{30}[/tex]

[tex]x>5[/tex]

It means, all the numbers which are greater than 5, are the solutions of the given inequality and 5 is not included in the solution set.

Answer:

The best fit is A. Linear model

Step-by-step explanation:

Given:

Monthly Rate = $20, Number of customers = 5000

If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.

To find:

The type of model that best fits the given situation?

Solution:

Monthly Rate = $20, Number of customers = 5000

Let us decrease the monthly rate by $1.

Monthly Rate = $20 - $1  = $19, Number of customers = 5000 + 500 = 5500

Let us decrease the monthly rate by $1 more.

Monthly Rate = $19 - $1  = $18, Number of customers = 5500 + 500 = 6000

Here, we can see that there is a linear change in the number of customers whenever there is decrease in the monthly rate.

We have 2 pair of values here,

x = 20, y = 5000

x = 19, y = 5500

Let us write the equation in slope intercept form:

[tex]y =mx+c[/tex]

Slope of a function:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500[/tex]

So, the equation is:

[tex]y =-500x+c[/tex]

Putting x = 20, y = 5000:

[tex]5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000[/tex]

[tex]\Rightarrow \bold{y =-500x+15000}[/tex]

Let us check whether (18, 6000) satisfies it.

Putting x = 18:

[tex]-500 \times 18 +15000 = -9000+15000 = 6000[/tex] so, it is true.

So, the answer is:

The best fit is A. Linear model

Answer:

The answer is option D

Step-by-step explanation:

32m + 56mp

First factor out the HCF out

The HCF of 32and 56 is 8

So we have

8 ( 4m + 7mp)

next factor m out

We have the final answer as

Hope this helps you

Answer:

1,110

Step-by-step explanation:

calculator

If Amir is not courageous, then he will not join the indian army.

Answer:

Option A 25 ft is the correct answer.

Step-by-step explanation:

Given that:

One square corral at a stable has an area 625 [tex]ft^2[/tex].

And one side corral is along a barn.

To find:

How much of a barn's wall is used for the edge of corral?

Solution:

First of all, kindly refer to the attached figure to have a better understanding of the given dimensions and situation.

Given that Corral is square shape with Area, A = 625 [tex]ft^2[/tex]

Formula for area of a square is given as:

[tex]A = Edge^2[/tex]

Putting the value of A as given to find the Edge:

[tex]625 = Edge^2\\\Rightarrow Edge^2 =25 \times 25\\\Rightarrow Edge = 25\ ft[/tex]

It is given that one side of Corral is along a barn.

So, barn's wall used for the edge of corral = 25 ft

Option A 25 ft is the correct answer.

Answer: A 25ft I did it on edge and got it correct and please do as brainlest and have a good day.

Answer:

Amount of solution = 15 liter

Step-by-step explanation:

Given:

One third of solution is acid

Amount of acid = 5 Liter

Find:

Amount of solution

Computation:

Amount of solution = Amount of acid (1 / One third of solution is acid)

Amount of solution = Amount of acid (3)

Amount of solution = (5)(3)

Amount of solution = 15 liter

Answer:

Step-by-step explanation:

Given the total number of games played by the softball team = 18 games

Total games won = 15 games

Ratio of the softball team's wins to its total number of games played can be gotten by simply dividing the total games won by the total games played

Ratio = [tex]\frac{total \ teams's win}{total\ number\ of \ games\ played}[/tex]

[tex]Ratio = \frac{15}{18}[/tex]

Expressing the ratio in its lowest term

[tex]Ratio = \frac{3*5}{3*6} \\\\Ratio = \frac{5}{6}[/tex]

Hence, the ratio of the softball team's wins to its total number of games played is 5:6

Answer:

[tex]Probability = 51\%[/tex]

Step-by-step explanation:

Given

Radius of inner circle = 5ft

Radius of outer circle = 7ft

Required

Determine the probability that the thumbtack will be placed on the inner circle

We start by calculating the area of both circles;

Inner Circle

[tex]Area = \pi r^2[/tex]

[tex]Area = 3.14 * 5^2[/tex]

[tex]Area = 3.14 * 25[/tex]

[tex]Area = 78.5[/tex]

Outer Circle

[tex]Area = \pi R^2[/tex]

[tex]Area = 3.14 * 7^2[/tex]

[tex]Area = 3.14 * 49[/tex]

[tex]Area = 153.86[/tex]

At this point, the probability can be calculated;

The probability = Area of Inner Circle / Area of Outer Circle

[tex]Probability = \frac{78.5}{153.86}[/tex]

[tex]Probability = 0.51020408163[/tex]

Convert to percentage

[tex]Probability = 0.51020408163 * 100\%[/tex]

[tex]Probability = 51.020408163\%[/tex]

Approximate

[tex]Probability = 51\%[/tex]

Answer:

I would say the answer is C.

Answer:

(g + f) (x) = (2^x + x – 3)^1/2

Step-by-step explanation:

The following data were obtained from the question:

f(x) = 2^x/2

g(x) = √(x – 3)

(g + f) (x) =..?

(g + f) (x) can be obtained as follow:

(g + f) (x) = √(x – 3) + 2^x/2

(g + f) (x) = (x – 3)^1/2 + 2^x/2

(g + f) (x) = (x – 3)^1/2 + (2^x)^1/2

(g + f) (x) = (x – 3 + 2^x)^1/2

Rearrange

(g + f) (x) = (2^x + x – 3)^1/2

Answer:

15w - 10x + 30.

Step-by-step explanation:

-5(2x - 3w - 6)

= (-5 * 2x) + (-5 * -3w) + (-5 * -6)

= -10x + 15w + 30

= 15w - 10x + 30.

Hope this helps!

Answer:

Step-by-step explanation:

[tex] - 5(2x - 3w - 6)[/tex]

Multiply each term in the parentheses by -5

[tex] - 5 \times 2x - 5 \times ( - 3w) - 5 \times ( - 6)[/tex]

Calculate the product

[tex] - 10x - 5 \times ( - 3x) - 5 \times ( - 6)[/tex]

Multiplying two negatives equals a positive [tex]( - ) \times ( - ) = ( + )[/tex]

[tex] - 10x + 5 \times 3w - 5 \times ( - 6)[/tex]

Calculate the product

[tex] - 10x + 15w - 5 \times ( - 6)[/tex]

Multiply the numbers

[tex] - 10x + 15w + 30[/tex]

Hope this helps..

Best regards!!

Answer:

55°

Step-by-step explanation:

The corresponding image, which I will attach, is missing in order to solve the exercise.

We know that the flat angle is 180 °, which we know to be the one that is formed with the horizontal, therefore the following equation remains:

55 ° + (70 ° + x °) = 180 °

we solve x °

x ° = 180 ° - 55 ° - 70 °

x ° = 55 °

So the value of x is 55 °

Answer:

8 inches

Step-by-step explanation:

3/4+(3/4*2)=3/4+6/4=9/4=2 1/4

2 1/4+6=8 1/4=8.25

Answer: 8.25 inches

Step-by-step explanation:

Answer:

Number of pieces of candy in the bowl=64

Step-by-step explanation:

Let

x=number of pieces of candy in a bowl

Shirley took=1/2 of x

=1/2x

Remaining

x-1/2x

= 2x-x/2

=1/2x

Rose took half of the pieces left in the bowl=1/2 of 1/2x

=1/2*1/2x

=1/4x

Remaining

1/2x-1/4x

=2x-x/4

=1/4x

Susan took 1/2 of the remaining pieces of candy=1/2 of 1/4x

=1/2*1/4x

=1/8x

Remaining 8

1/8x=8

x=8÷1/8

=8*8/1

=64

x=64

Answer:

2400months

Step-by-step explanation:

6/100*40,000

maybe

Answer:

6√5

Step-by-step explanation:

We have to solve the expression [tex]\sqrt{180}[/tex]

Break 180 into its factors which are in the perfect square form.

Since, 180 = 9 × 4 × 5

                 = 3² × 2² × 5

Therefore, [tex]\sqrt{180}=\sqrt{3^{2}\times 2^{2}\times 5}[/tex]

                           = [tex]\sqrt{3^2}\times \sqrt{2^{2}}\times \sqrt{5}[/tex] [Since [tex]\sqrt{ab}=\sqrt{a}\times \sqrt{b}[/tex]]

                           = 3 × 2 × √5

                           = 6√5

Therefore, solution of the given square root will be 6√5.

Answer:

This is simple! (Kind of)

Step-by-step explanation:

First, notice how HJ is tangent. HG is a radius intersecting HJ at H.

This means, (According to some theorem that I forgot the name of) that GHJ is a right angle.

Thus, we can use the 180* in a triangle theorem.

[tex]180=90+54+6x+6[/tex]

So, let's solve!

[tex]30=6x\\5=x[/tex]

So, there you go! Nice and simple!

Hope this helps!

Stay Safe!

Step-by-step explanation:

hope it helps yoy..........

Answer:

7/16=x/4

4 times 7/16= 4 times x/4

7/4=x

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \frac{7}{16} = \frac{x}{4} [/tex]

Apply cross product property

[tex]16 x = 7 \times 4[/tex]

Multiply the numbers

[tex]16x = 28[/tex]

Divide both sides of the equation by 16

[tex] \frac{16x}{16} = \frac{28}{16} [/tex]

Calculate

[tex]x = 1.75[/tex]

Hope this helps...

Best regards!!

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

Answer:

53.076923

Step-by-step explanation:

130% as a decimal is 1.3

Divide 69 by 1.3:

69 /1.3 = 53.076923

Answer:

30

Step-by-step explanation:

The unknown number is x.

Start with x.

To increase x by 130%, you need to add 130%of x to x.

x + 130% of x

The sum equals 69.

x + 130% of x = 69

x + 130% * x = 69

1x + 1.3x = 69

2.3x = 69

x = 30

Answer: The number is 30.

Answer:

Step-by-step explanation:

Use F.O.I.L

F - First

O- Outside

I- Inside

L- Last

First multiply the ds from both to get [tex]d^{2}[/tex], next multiply the first d and the -4 and get -4d, then the 8 and the second d = 8d, and finally the 8 and -4 to get -32

you get [tex]d^{2}[/tex]-4d + 8d - 32

Answer:

148 cm ^2

Step-by-step explanation:

Hey there!

Well is the area of the base is 30 then we can conclude that the side lengths are 5 and 6.

Then if the volume is 120 we can do,

120 ÷ 30 = 4

So the height is 4 cm.

Now we already have the area of the base we just need to find the area of the rest of the rectangles.

If the bottom base is 30 then the top base is also 30.

30 + 30 = 60cm^2

Now we can do the two rectangles on the side that have side lengths of 5 and 4.

5*4 = 20

20+20 = 40 cm^2

Now we can do the two final rectangles that have side lengths of 6 and 4.

6*4=24

24 + 24 = 48 cm^2

Now we can add all the areas up,

48 + 40 + 60

= 148 cm^2

Hope this helps :)

If the first term is [tex]a[/tex], then the second term is [tex]ar[/tex], the third is [tex]ar^2[/tex], the fourth is [tex]ar^3[/tex], and the fifth is [tex]ar^4[/tex].

We're given

[tex]\begin{cases}ar=6\\ar^4=48\end{cases}\implies\dfrac{ar^4}{ar}=r^3=8\implies r=2\implies a=3[/tex]

So the first five terms in the GP are

3, 6, 12, 24, 48

Adding up the first four gives a sum of 45.

If you were asked to find the sum of many, many more terms, having a formula for the n-th partial sum would convenient. Let [tex]S_n[/tex] denote the sum of the first n terms in the GP:

[tex]S_n=3+3\cdot2+3\cdot2^2+\cdots+3\cdot2^{n-2}+3\cdot2^{n-1}[/tex]

Multiply both sides by 2:

[tex]2S_n=3\cdot2+3\cdot2^2+3\cdot2^3+\cdots+3\cdot2^{n-1}+3\cdot2^n[/tex]

Subtract this from [tex]S_n[/tex], which eliminates all the middle terms:

[tex]S_n-2S_n=3-3\cdot2^n\implies -S_n=3(1-2^n)\implies S_n=3(2^n-1)[/tex]

Then the sum of the first four terms is again [tex]S_4=3(2^4-1)=45[/tex].

Answer:

The answer is C.

Step-by-step explanation:

The formula to find equation is y - y1 = m(x - x1).

Let (x1,y1) be (6,2) and m is -5/7.

So the equation is,

y - 2 = -5/7(x - 6)