The sides of a triangle are 3x+2, 6x-1 and 7-x. Express the perimeter of the triangle in terms of x.

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Explanation:

E = event space

E = set of outcomes we want to happen

E = rolling a multiple of 4 or rolling an odd prime number

E = {4,8,12,16     3,5,7,11,13}

n(E) = number of items in set E

n(E) = 9, (four multiples of 16+five ways to roll odd prime number)

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S = sample space

S = set of all possible outcomes (whether we want them to happen or not)

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16}

n(S) = number of items in set S

n(S) = 16

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P(E) = probability of event space occurring

P(E) = probability of rolling a multiple of 4 or rolling an odd prime number

P(E) = n(E)/n(S)

P(E) = 9/16

P(E) = 0.5625

P(E) = 0.563

[tex]\text{Solve for x:}\\\\\frac{1}{2}(10x-2) +3x = 25\\\\\text{Distribute the 1/2 to the numbers inside the parenthesis}\\\\5x-1+3x=25\\\\\text{Combine like terms:}\\\\8x-1=25\\\\\text{Add 1 to both sides}\\\\8x=26\\\\\text{Divide both sides by 8}\\\\x=\frac{26}{8}\\\\\text{Simplify the fraction by dividing by 2}\\\\\boxed{x=\frac{13}{4}}[/tex]

The solution to the problem 1/2 (10x-2) +3x = 25 is x = 3.25 which is obtained by expanding the equation, combining like terms, isolating the variable, and then solving for the variable.

Let's solve the equation 1/2 (10x-2) +3x = 25 step by step to find the solution to this problem.

Firstly, expand the equation: 1/2 * 10x is 5x, and 1/2 * -2 is -1. Therefore, the equation becomes 5x - 1 + 3x = 25.

Next, combine like terms on the left side of the equation. 5x + 3x is 8x, so you have 8x - 1 = 25.

Then, add 1 on both sides to isolate 8x on the left side. The equation becomes 8x = 26.

Finally, divide both sides by 8 to solve for x. Therefore, x = 26 / 8 = 3.25.

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Answer:

64

Step-by-step explanation:

32*2 = 64

Answer:

it will be 48

Step-by-step explanation:you have to multiply each number by 2

Answer:

a) C≈25.13

(ALSO, for "b" do you have a picture for it?)

Step-by-step explanation:

a) C=2πr

C=2π(4)

Answer:

Picture for b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The end behaviour  as x gets larger and positive ( right- hand end )or larger and negative ( left- hand end )is determined by the term of the greatest degree.

For p(x) that is 4[tex]x^{8}[/tex], with

• Even degree (8) and positive leading coefficient (4), then

as x → ∞ , p(x) → ∞ and

as x → - ∞ , p(x) → ∞

Answer:  lock down

Step-by-step explanation: f(x)= 8x2 + 5=21--> f(x)=21

g(x)= -2x5 - 4=-14--> g(x)=-14

f(2)+g(5) = 7

Step-by-step explanation:

Given,

f(x) = 8x+5

g(x) = -2x-4

To find f(2)+g(5)

Now,

f(2) means putting the value of x = 2 in f(x)

g(5) means putting the value of x = 5 in g(x)

f(2) = 8(2)+5 = 21

g(5) = -2(5)-4 = -14

Hence,

f(2)+g(5) = 21-14 = 7

Answer:

Step-by-step explanation:

Solve simultaneously

-5x-3y=9

4x-187-54=0

4x=241

x=60.25

To get y

Substitute for x in equal one

-5(60.25)-3y=9

-301.25-3y=9

-3y=9+301.25

-3y=310.25

y=-103.4

Answer:

25

Step-by-step explanation:

Answer:

[tex]y = 6\cdot a^{3}\cdot \sqrt{3}[/tex]

Step-by-step explanation:

The following expression is needed to be solved:

[tex]y = \sqrt{108\cdot a^{6}}[/tex]

The solution is done by means of algebraic handling:

[tex]y = \sqrt{2^{2}\cdot 3^{2}\cdot 3 \cdot a ^{6}}[/tex]

[tex]y = 6\cdot a^{3}\cdot \sqrt{3}[/tex]

To find the volume of a prism, you multiply the area of its base by its height. Thus, the volume of a prism with a base area of 24 m² and a height of 7 m is 168 m³.

The subject of this question is Mathematics, more specifically, geometry. The question wants to find the volume of a prism. The formula for finding the volume of a prism is Base Area x Height. In this case, the base area of the prism is given as 24 m², and the height is given as 7 m.

We use the formula: Volume = Base Area x Height which translates to Volume = 24 m² x 7 m= 168 m³. So the answer is 168 cubic meters, which corresponds to option A.

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Answer:

the answer is number three

Step-by-step explanation:

Answer:

24 inches

Step-by-step explanation:

To find perimeter, simply add all the side lengths

10 + 8 + 6 = 24in

Thank me later :)

Answer:

A

Step-by-step explanation:

Given the zeros are x = - 1 and x = 3 then the factors are

(x + 1) and (x - 3) and the parabola is the product of the factors, that is

y = a(x + 1)(x - 3) ← where a is a multiplier

To find a substitute (0, - 9) into the equation

- 9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

3 = a, thus

y = 3(x + 1)(x - 3) ← expand the factors using FOIL

  = 3(x² - 2x - 3) ← distribute by 3

  = 3x² - 6x - 9 → A

The equation of the parabola has zeros of x = –1 and x = 3 and a y-intercept of (0,–9) is y = 3x² - 6x - 9 . The correct option is A.

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively.

Given the zeros are x = - 1 and x = 3 then the factors are (x + 1) and (x - 3) and the parabola is the product of the factors, that is

y = a(x + 1)(x - 3) ← where a is a multiplier

To find a substitute (0, - 9) into the equation.

- 9 = a(0 + 1)(0 - 3)

a(1)(- 3) = - 3a ( divide both sides by - 3 )

3 = a,

y = 3(x + 1)(x - 3)

Expand the factors and calculate.

y = 3(x² - 2x - 3)

y = 3x² - 6x - 9

Therefore, the equation of the parabola has zeros of x = –1 and x = 3 and a y-intercept of (0,–9) is y = 3x² - 6x - 9 . The correct option is A.

To know more about parabola follow

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Answer:

30 percent of 150 is 20%

Answer:

$30 of $150 is 20%

brainliest??

Step-by-step explanation:

150/30 = 5

100% / 5 is 20%

=20%

Answer:

6

Step-by-step explanation:

18x - 43 = 65

move the 43 over by adding since it's being subtracted

18x = 108

divide by 18 to get x by itself

x = 6

Answer:

x=6

Step-by-step explanation:

According to the question

18x-43=65

Let's add 43 to both sides

18x=65+43

18x=108

Divide both sides by 18

x=6

Therefore x=6

Answer: a=b , greater than

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Answer:

(2,3) (5,0) (0,5)

Step-by-step explanation:

Plug the x values into the equation to find your y value.

that is the solution to the simultaneous equation

Answer:

(1, - 4 )

Step-by-step explanation:

Given the 2 equations

2x - y = 6 → (1)

x + y = - 3 → (2)

Adding the equations term by term will eliminate the term in y, that is

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting in (2) gives

1 + y = - 3 ( subtract 1 from both sides )

y = - 4

Solution is (1, - 4 )

Answer:

Step-by-step explanation:

25 is equivalent to 820 because 2 x 20 = 5 x 8 = 40. 410 is equivalent to 820because 4 x 20 = 10 x 8 = 80. 615 isequivalent to 820 because 6 x 20 = 15 x 8 = 120.

Answer:

4:10 = 8:20( when multiplied by 2)

24:60 divide by 3 we get 8:20

2:5 multiply by 4 we get 8:20

Final answer:

The approximate mean weight for babies born during the two months of August and September is calculated using a weighted average, and it is approximately 7.97 pounds.

Explanation:

To find the mean weight of the babies born during the two months, we can use the weighted average formula which takes into account the different numbers of babies born in each month and their respective mean weights.

The formula for the weighted mean is as follows:

Weighted mean = (Sum of weights × their respective frequencies) / (Total sum of frequencies)

Therefore, the approximate mean weight for the babies born during August and September is 7.97 pounds.

Answer: -6

Step-by-step explanation:

Answer:

The first one is true, meanwhile the second is false!

Step-by-step explanation:

The first one both simplify to -3.

The second one, -6/-2 ( fraction ) simplifies to positive 3 because dividing or multiplying by 2 negative numbers cancels out the negative sign.

Hope it helps!

Answer:

1) True

2) False

Step-by-step explanation:

- 6/2 = -3

Answer:

35

Step-by-step explanation:

5+5+10+3+2+7+3=35

Answer:

The area is 42

Step-by-step explanation:

First you have to divide the figure into three rectangles

The first one has

Lenght=10

Width=5-2=30

Area=l x w=10x30=30

The other two are equivalent in lenght and width that means that if if we find the area of one we must multiply by 2 to find the other.

Rectangles 2 and 3

Lenght=3

Width=2

Area of one of them=3x2=6

Both rectangles=6x2=12

Now, we add everything up

Total Area=12+30=42

Answer:

[tex](a)=6\\(b)=1\ \frac {1}{2}\\(c)=1\ \frac {1}{2}\\d=6[/tex]

Step-by-step explanation:

(a)

3 ft long when divided into half ft each will be

3ft ÷1/2 ft

We change the ÷ to × then the second part is reciprocated hence

3ft÷1/2= 3ft×2/1=6 pieces

(b)

The question requires us to get the differences. Initially, Phil makes 3 quarts of soup but the family takes only half of the original quantity to mean Phil remains with the other half.

Therefore, half of 3 is 3×1/2=3/2= 1.5 or 1 1/2

(c)

Hiding 3 pounds of gold into two equal sections means 3 is divided by 2

3÷2=1.5 or 1 1/2

(d)

If half, 0.5 represent 3 cups then full quantity represent x

0.5=3 cups

1=x

By cross multiplication

1*3/0.5=6

Answer:

FALSE=Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set.

Step-by-step explanation:

Answer:

17.6 lbs

Step-by-step explanation:

1kg=2.2lbs

Multiply each side by 8

8kg=17.6 lbs

Given that there are 1 kilogram in 2.2 pounds. By unitary method, we can say that 8 kilograms are equal to 17.6 pounds.

Unitary method is the method of solving problems wherein you first find the value of one item, then to find value of k items, multiply value of one item by k.

The given question is about establishing a relationship between measurement units kilogram and pound with their units being kg and lbs respectively.

Given in the question,

1 kg = 2.2 lbs

8 kg = 8 * 2.2 lbs = 17.6 lbs

Implying that 8 kilograms are equal to 17.6 pounds.

Learn more about unitary method here

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Final answer:

By substituting the given values f = 3, g = 2, and h = 7 into the expression f3 + 11g - 4h, and performing the operations as directed, we find that the value of the expression is 3.

Explanation:

To evaluate the expression f3 + 11g - 4h when f = 3, g = 2, and h = 7, we substitute these values into the expression.

Therefore, the value of the expression f3 + 11g - 4h is 3.

Answer:

New altitude = 5.5 miles

Step-by-step explanation:

We are given;

Velocity = 400 m/h

Angle of descent = 1°

Altitude = 7.2 miles

Time = 15 minutes = 15/60 hours = 0.25 hours

Now, the downward component of its speed is;

Vy = (400)sin(1°)

Vy = 6.98 mph

After a time t, its height will be;

h(t) = (7.2 - 6.98t) miles, for t = hours

We are given;t = 0.25 hrs

Thus;

h(0.25) = 7.2 - (6.98*0.25) miles

h(0.25) = 5.46 miles

h(0.25) ≈ 5.5 miles to the nearest tenth

The new altitude after 15 minutes of descent is approximately 5.5 miles.

Calculating the New Altitude of a Descending Airplane

To determine the new altitude of the airplane after 15 minutes of descending at an angle of descent of 1 degree from the horizontal, follow these steps:

Hence, after 15 minutes, the airplane's new altitude is approximately 5.5 miles.

Answer:

Step-by-step explanation:

B

Answer:

d

Step-by-step explanation:

3 times (x) is 3x

3 times (2y) is 6y

and 3 times (5) is 15 and the end result would be 3x+6y+15