What Is the term -3x and 5x combined to?

Answer:

Length = 22, Width = 16

Step-by-step explanation:

Let L be the length of the garden and W the width

The area, A = L x W = 352 ft²

It is given that L = W + 6

Substituting for L in the area equation we get

L x W

==>  (W + 6) x W = 352

Expanding the brackets

==> W.W + 6.W = 352

==> W² + 6W = 352

Subtract 352 from both sides:

W² + 6W - 352 = 0

This is a quadratic equation which can be solved using the quadratic formula.

- 352 = - 16 x 22 and -16 + 22 = 6

So we can factor the quadratic equation as
(W - 16) (W + 22) = 0

==> W = 16 or W = -22

Since we can disregard negative values in this context,

W = 16 and L = W + 6 = 16 + 6 = 22

Dimensions are Length = 22, Width = 16

The area of the circle based on the information illustrated is C. 28.26ft².

It should be noted that the area of a circle is given as:

= πr²

In this case, the radius is 3ft.

Therefore, the area will be:

= πr²

= 3.14 × 3²

= 3.14 × 9

= 28.26 ft²

In conclusion, the area of the circle is 28.26ft².

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Answer: i do not know

Step-by-step explanation:

cause i do not know

Answer:

A= 204 in²

Step-by-step explanation:

The base is 12 in, and the height is 17 in.

A=b h=12·17=204 in²

it it right  

Answer:

false

Step-by-step explanation:

The difference between the highest and the lowest points of the country is 5771 feet.

The operation of subtraction is used to calculate the difference between two numbers. If you have an object group and remove a couple of them, the object group gets smaller.

The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).

Let the sea level be x.

The highest point of the country is 5,762 feet above the sea. So, we can write it as

x+5,762

Since the lowest point is 9 feet below sea level, we can write this expression:

x-9

The difference is the result of subtraction. Therefore, we can find the expression that represents the difference between the elevations by subtracting  x+5,762 and  x-9:

(x+5,762)-(x-9)

= x+5762-x+9

= 5762+9

=5771 feet

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The kinetic energy T units of a motion body (of constant mass) varies as the square of its speed v m/s. If kinetic energy T = 800 units when speed v= 20m/s: Calculate V when T= 1800.​

If T=1800 then V=30m/s.

kinetic energy is nothing but The energy an object has as a result of motion is known as kinetic energy.

Given that,

If T = 800 units when v= 20m/s

Kinetic energy formula is

[tex]T=\frac{1}{2}mv^{2}[/tex]

Here, T is kinetic energy , m is mass and v is speed

Now,

[tex]800=\frac{1}{2}m(20)^{2} \\800\times2=m(400)\\\frac{1600}{400}=m\\ m=4[/tex]

We got mass m as 4

Now, when T= 1800 find v=?

[tex]1800=\frac{1}{2}\times4\times v^{2} \\1800\times2= v^{2} \\ v^{2} =900\\v=30[/tex]

Therefore, we got speed v=30m/s when the kinetic energy T=1800.

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Answer:

The number is 11

Step-by-step explanation:

First turn this into a mathematical equation

8+3x=41

subtract 8 from both sides

3x=33

divide both sides by 3

x=11

The image of the coordinates of the resulting point are Y'(x, y) = (- 10, - 7).

In this problem we have the coordinates of a original point and a translation vector, the coordinates of the image is obtained by using the following formula:

Y'(x, y) = Y(x, y) + T(x, y)

Where:

To learn more on Y(x, y) = (- 4, - 9) and T(x, y) = (- 6, 2), then the coordinates of the resulting point are:

Y'(x, y) = (- 4, - 9) + (- 6, 2)

Y'(x, y) = (- 10, - 7)

The image of the coordinates of the resulting point are Y'(x, y) = (- 10, - 7).

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Using the Fundamental Counting Theorem, it is found that 2,322,432 codes can be generated.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

Considering that the ode will have one digit followed by four letters, the parameters are given as follows:

[tex]n_1 = 7, n_2 = n_3 = n_4 = n_5 = 24[/tex]

Hence the number of codes that can be generated is:

N = 7 x 24 x 24 x 24 x 24 = 2,322,432.

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Answer:

180-(35+95)=50

Step-by-step explanation:

Any triangle in the world sum of its angle equal 180

From the situation described, we have that:

a) The linear function is: f(s) = 120 - 12s.

b) She can take 10 sips before she needs to refill.

c) The graph is given at the end of the answer.

d) The domain is: 0 ≤ s ≤ 10.

A linear function is modeled by:

y = mx + b

In which:

For this problem, the parameters are given as follows:

m = -12, b = 120.

Hence the function is:

f(s) = 120 - 12s.

She can take sips until f(s) = 0, hence:

120 - 12s = 0

12s = 120

s = 10.

She can take 10 sips before she needs to refill, and hence the domain(set that contains the input values for the function) is 0 ≤ s ≤ 10.

The graph is given at the end of the answer.

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The probability that Alphonso gets ticket 14 and Cordell gets ticket 23 is = 1/2450

Alphonso can pick a ticket from 50 tickets in 50 ways;

When Alphonso pick a ticket, then Cordell can pick a ticket in 49 ways;

Total number of ways = 50 × 49 = 2450;

Alphonso can get ticket 14 and Cordell can get ticket 23 in only one way;

So, the probability that Alphonso gets ticket 14 and Cordell gets ticket 23 is = 1/2450;

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I'd say its A because:

5x#of pies + the money the principal pitched in (75) is less than or equal to 386 dollars (their goal for the field trip).

The inequality equation is given by 5p + 75 ≤ 386 , where p is the number of pies the class sells

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality relation be represented as A

Let the number of pies the class sells be p

Now , the equation will be

The total amount for the field trip = $ 386

The amount given to the students = $ 75

The cost of 1 pie = $ 5

So , the cost of p pies = 5p

Now , the total amount with the students = cost of p pies + amount given to the students

Substituting the values in the equation , we get

5p + 75 ≤ 386

Therefore , the value of A is 5p + 75 ≤ 386

Hence , the inequality relation is 5p + 75 ≤ 386

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The height of the tree in Jasmines drawing is; 6.25 inches tall

The scale factor used by Louis is; 3in : 10 ft

The scale factor used by Jasmine is; 5in : 20ft

We are told that the tree in front of the school in Luis's drawing is 7.5 inches tall. Thus;

True height of tree in Louis drawing is; (7.5 * 10)/3 = 25 ft

Thus, height of tree in Jasmines drawing = (25 * 5)/20 = 6.25 inches tall

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Answer:

Step-by-step explanation:

Answer: 144

Step-by-step explanation:

The third side of the triangle have to greater than the difference of the two provided sides.

A triangle is polygon with 3 edges and 3 vertices.

So possible answers could be:

Answer:

7x+2/x² +x +2

that's my answer

The value of x is 5

Question is based on the Pythagorean theorem :

Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple

Consider the triangle given above:

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse.

According to the definition, the Pythagoras Theorem formula is given as:

X is the side opposite to the right angle, hence it is a hypotenuse.

Now, by the theorem we know;

Hypotenuse2 = Base2 + Perpendicular2

x2 =[tex]4^{2} +3^{2}[/tex]

x2 = 16+9

x = [tex]\sqrt{25}[/tex]

Therefore, the value of x is 5

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Answer: ok here is ur answer The cost for 1 chair is $2.75 and the cost for 1 table is $8.75

Use the elimination method of linear equations to find your answer.

Our equations for this problem are:

3c+5t=52 and 9c+7t=86

1. Multiply the entire first equation by -3.

-3(3c+5t=52)

2. Simplify the equation from above:

-9c-15t=-156

3. Stack the two equations on top of each other and add/subtract:

-9c-15t=-156

9c+7t=86

4. You should be left with -8t=-70. Simplify this to find the value of t:

t=8.75

5. Plug the value of t into any of the original equations and solve for c.

3c+5(8.75)=52

6. Simplify the equation above:

3c+43.75=52

7. Subtract 43.75 from both sides of the equation:

3c=8.25

8. Divide both sides by 3 to get your c value:

c=2.75

Step-by-step explanation: i really hope this helps pls lmk if i am wrong (:

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

[tex]31\% = \frac{31}{100} = 0.31 > 0.275 \\ 32.6\% = \frac{32.6}{100} = 0.326 > 0.310 \\ 0.325 = \frac{32.5}{100} = 32.5\% > 27.5\% \\ 0.310 = \frac{31}{100} = 31\% < 32.5\%[/tex]

Answer:

Letter B is the answer

Step-by-step explanation:

A. 31% < 0.275

31% < 27.5%

B. 32.6% > 0.310

32.6% > 31%

C. 0.325 < 27.5%

32.5% < 27.5%

D. 0.310 > 32.5%

31% > 32.5%

The conclusion is that 68% of all tires will have a life between 28000 km and 32000 km.

The empirical rule in statistics states that for a normal distribution,

We are given;

Mean (μ) = 30000 km

Standard deviation (σ) = 2000 km

Using the empirical rule of 68% which lies within one standard deviation from the mean, we have;

μ ± σ = 30000 ± 2000 = (28000, 32000)

Thus, we conclude that 68% of all tires will have a life between 28000 km and 32000 km.

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If [tex]f,g[/tex] are inverses of one another, then

[tex]f\circ g(x) = g\circ f(x) = x[/tex]

Given [tex]f(x)=x^2-1[/tex] and [tex]g(x)=\sqrt{x-8}[/tex], then

[tex]f\circ g (x) = f(g(x)) = f(\sqrt{x-8}) = \left(\sqrt{x-8}\right)^2 - 1 = \boxed{x - 9} \neq x[/tex]

so right away we know [tex]f[/tex] and [tex]g[/tex] are not inverses.

In the other direction, we come to the same conclusion.

[tex]g\circ f(x) = g(f(x)) = g(x^2 - 1) = \sqrt{(x^2-1)-9} = \boxed{\sqrt{x^2 - 9}} \neq x[/tex]

The image of D (1, 2) is D' ( 2, 7).

The image of E (-3 -5) is E' ( -10, 0).

The image of F (4, -1) is F' ( 11, 4).

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given points are;

D (1, 2), E(-3, -5) and F(4, -1)

Now, The rule is to find the image of points is;

(x, y) → (3x - 1, y + 5)

Hence,

The image of D (1, 2) = (3 * 1 - 1, 2 + 5)

                               = (3-1, 7)

                               = (2, 7)

The image of E (-3 -5) = (3*-3 - 1, -5 + 5)

                                 = (-9-1, 0)

                                 = (-10, 0)

The image of F (4, -1) = (3*4 - 1, -1 + 5)

                                = (12-1, 4)

                                = ( 11, 4 )

Therefore, The image of D (1, 2) is D' ( 2, 7).

The image of E (-3 -5) is E' ( -10, 0).

The image of F (4, -1) is F' ( 11, 4).

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