Select all the equations that have the same solution as the following equation 3x - 12 = 24

Answer: Centroid

Step-by-step explanation: The center of gravity of a triangular solid with uniform thickness and density is the centroid which is the point at which one can balance the triangle. It is the center of mass of an object with uniform density.

When a coin is weighted, there is a two-thirds chance that it will land on its head. suppose you toss this coin 15 times. let x represent the number of heads. Mean = 10 and Standard deviation = 2.88

The mean of x, which represents the number of heads when the coin is tossed 15 times, is 10. This is because the probability of getting heads is two-thirds, meaning that two out of every three tosses will result in heads.We apply the following formula to determine the standard deviation:

Standard Deviation = √(p*q*n), where p is the probability of getting heads, q is the probability of getting tails, and n is the number of tosses. In this case, p = 2/3, q = 1/3, and n = 15, so the standard deviation of x is 2.88.

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Calculating this expression, we find that the length of the image of the rectangle is 36 in.

To find the length of the image of the rectangle after dilation, we can use the property of similar triangles. Since the width of the image is known to be 21 in., we can set up a proportion:

(image width) / (original width) = (image length) / (original length)

Substituting the known values, we have:

21 in. / 14 in. = (image length) / 24 in.

Solving for the image length, we get:

(image length) = (21 in. / 14 in.) * 24 in.

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Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:

x = 17

Step-by-step explanation:

The two angles form a right angle ( indicated by the square )

Right angles have a measure of 90°

Thus, x + 73 = 90

90 - 73 = 17

Hence, x = 17

Answer:

  h = 90°

Step-by-step explanation:

You want the measure of the inscribed angle in a semicircle.

An inscribed angle has a measure equal to half the arc it subtends. Angle h intercepts the circle at the endpoints of a diameter, so subtends an arc of 180° (half a circle).

The measure of angle h is half of 180°, or 90°.

  h = 90°

__

Additional comment

The fact that a triangle inscribed in a semicircle is a right triangle is useful for a variety of purposes. It is also useful to note that the circle center is the circumcenter, and is the midpoint of the hypotenuse.

Answer: The cost to make 400 baseball caps is $3,200

Step-by-step explanation:

The answer they gave you is a set of coords, x and y coords to be exact. That means that x value is inputed into the equation and that y value is the asnwer.

You put in 400, you get 3200.

They also gave us that x equals the number of baseball caps. Then y equals the cost of making those baseball caps

Answer:

The cost to produce 400 caps is the same as the income made from selling 400 caps.

The company will break even when it sells 400 caps; it will not make a profit.

Step-by-step explanation:

EDGE 2021

The value of each part is AC = 18 cm, CD = 54 cm, DE = 108 cm, and

EB = 72 cm. This can be solved using the concept of mathematical operators.

A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:

Operands: Operands are the numbers that an operation uses. The terms that are given to the operands vary according to the kind of operation.

Operator: An operator is the symbol that denotes a math operation, such as: division, addition, subtraction, and multiplication.

Given that,

length of wooden plank AB is 252 cm

divides it into four parts by inserting the points C, D and E

parts of plank are AC, CD, DE, EB

CD = 3AC,

DE = 2CD, and

DE = 2(3AC)

DE = 6AC

EB = 4AC

AB = AC + CD + DE + EB

substitute the values we get,

AB = AC + 3AC + 6AC + 4AC

252 = 14AC

AC = 252/14 = 18cm

CD = 3AC = 3(18) = 54 cm

DE = 6AC = 6(18) = 108 cm

EB = 4AC = 4(18) = 72 cm

Hence length of each part is AC = 18 cm, CD = 54 cm, DE = 108 cm, and

EB = 72 cm.

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Answer:

because he left you and your mom and now you are sad because you have no dad also yer dads j e r k

Step-by-step explanation:

Answer:

he is walking 5000000000000000000000000000% slower than a sloth

Step-by-step explanation:

sloths are slow

Explanation:

The like terms k and -5k combine to -4k

The like terms -5 and 1 combine to -4

So overall, that's how we end up with -4k-4

Answer:

Step-by-step explanation:

1). (k - 5k) + (-5 + 1) {Collect like terms}

2). -4k - 4 {Simplify}

Answer:

C = 2½ miles.

Step-by-step explanation:

Let the total distance be A

Let the distance covered be B.

Let the unknown distance (distance left) be C.

Given the following data;

A = 3¾ miles

B = 1¼ miles

To find the distance left to hike;

A = B + C

Substituting into the equation, we have;

3¾ = 1¼ + C

C = 3¾ - 1¼

C = (3 - 1) ¾ - ¼

C = 2 2/4

C = 2½ miles.

Method II.

We would convert the mixed fraction into a proper fraction:

A = 3¾ = (4*3 + 3)/4 = 15/4

B = 1¼ = (4*1 + 1)/4 = 5/4

C = 15/4 - 5/4

C = 10/4

C = 5/2

C = 2½ miles.

Answer:

Step-by-step explanation:

Answer:

the answer is 4

Step-by-step explanation:

because i did it on desmos that is a graphic calculator

Answer:

a) 16.25 centimeters

b) 6.8 centimeters

Step-by-step explanation:

We can set up a proportion for both of these problems.

a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:

6.5/x

x represents the length you're trying to find.

Since the triangles are similar, we have an equation:

7.2/18=6.5/x

Cross multiply

16.25

XZ is 16.25 centimeters long.

b)

We can do same thing:

7.2/18=x/17

Cross multiply

6.8

QR is 6.8 centimeters long.

Hope this helps!

Answer:

QR = 6.8

XZ = 16.25

Step-by-step explanation:

We can use ratios to solve since the triangles are similar

7.2         QR

------- = ------------

18           17

Using cross products

7.2 *17 = QR*18

Divide by 18

7.2 *17/18 = QR*18/18

QR = 6.8

7.2          6.5

------- = ------------

18           XZ

Using cross products

7.2 XZ = 6.5*18

Divide by 7.2

7.2 XZ = 6.5*18/7.2

XZ = 16.25

equation of line

y=mx+b

If m=-3/2

we have

From points (2,3), we find b

Therefore

The motion of the particle with position (x, y) as t varies in the given interval. x = 3 sin t, y = 1 + cos t, 0 ≤ t ≤ 3π/2 is an ellipse with equation

x²/3² + (y - 1)²/1 = 1

The motion of a particle describes the movement of the particle.

To describe the motion of a particle with position (x, y) as t varies in the given interval. x = 3 sin t, y = 1 + cos t, 0 ≤ t ≤ 3π/2, we proceed as follows.

Since

Re-writing both equations, we have that

Now, using the trigonometric identity sin²t + cos²t = 1, we have that

sin²t + cos²t = 1,

(x/3)² + (y - 1)² = 1

x²/3² + (y - 1)²/1 = 1

Comparing this to the equation of an ellipse, with center (h, k) we see that

(x - h)²/a² + (y - k)²/b² = 1

So,

Now since a > b, we see that the x - axis is the major axis

So, the motion of the particle is an ellipse with equation

x²/3² + (y - 1)²/1 = 1

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When a class interval is expressed as 100 up to 200, it means that the data is grouped into intervals or ranges, and the first interval starts at 100 while the last interval ends at 200.

When dealing with large sets of data, it is often more convenient to group the data into intervals or classes. Each interval is a range of values, and the frequency of data falling within that range is recorded. The class interval "100 up to 200" means that the first interval starts at 100, and the range continues up to but does not include 200.

This means that the first interval will include all values greater than or equal to 100 and less than 200. The exact size of the interval (i.e., the width) is not specified in this expression, so it could be any value that covers the range between 100 and 200.

For example, the interval could be 100-199, 100-199.99, or any other width that covers the specified range.

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Answer:

18

Step-by-step explanation:

This is actually pretty easy. Keep this in mind.

There are 34 total students. 16 of them like bananas and the rest like apples. All you really need to do is count up from 16 to 34 to find the answer.

The simple equation for this is: 34-16

Thus, the answer is 18.

Answer:

1

Step-by-step explanation:

(2-0) / (6-4)

2/2

xxxxxxxx

Answer:

1

Step-by-step explanation:

Answer:

#1. Let x be the number of hours spent dog walking, then the amount of money earned dog working is 12x.

#2. Let y be the number of hours spent washing cars, then the amount of money earned washing cars is 18y.

Step-by-step explanation:

Hopefully this helped, if not HMU and I will get you a better answer.

-Have a great day! :)

Answer:

its 6 i took the quiz ( Quiz 1: Ratios, Rates, and Proportions  Mathematics 700 Fundamentals)

and 12 was wrong but 6 was right

i mean i don't know whats wrong with the other guys answer but...

that's what the answer was on the quiz.

Step-by-step explanation:

Answer:

C: 120x+92y<1,300

Step-by-step explanation:

Since the band plays at an hourly rate of $120 for x hours, the total cost of the band playing is 120x.

Also the DJ can play for the remaining time at an hourly rate of $92 for y hours, the total cost of the band playing is 92y

The total cost of the band is DJ playing is thus 120x + 92y.

Since we require this to be under $1,300, we us the less than sign '<' to show the relation.

So, 120x + 92y < 1300

So, the answer is C

Answer:

\(x=1\)

\(x=-1\)

Step-by-step explanation:

 Let's use the quadratic formula to solve this.

  Quadratic formula is usually defined as the formula for determining the   roots of a quadratic equation from its coefficient. Quadratic equations are  equations containing a single variable of degree 2. Its general form is ax^2   + bx + c = 0, where x is the variable, and a,b, and c are constants (a ≠ 0).

_______

     1 ) move terms to the left side

                                \(x^2=1\)

                            \(x^2-1=0\)

        2) Use the quadratic formula

\(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

       Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

     \(x^2-1=0\)

        \(a =1 \\b = 0\\c=-1\)

      \(x=\frac{-0\pm\sqrt{0^2-4*1(-1)} }{2*1}\)

    3) Simplify

 - evaluate the exponent

\(x=\frac{0\pm\sqrt{0^2-4*1(-1)} }{2*1}\)

\(x=\frac{0\pm\sqrt{0-4*1(-1)} }{2*1}\)

 -   Multiply the numbers

 \(x=\frac{0\pm\sqrt{0-4*1(-1)} }{2*1}\\\)

\(x=\frac{0\pm\sqrt{0+4} }{2*1}\)

- add the numbers

     \(x=\frac{0\pm\sqrt{0+4} }{2*1}\)

    \(x=\frac{0\pm\sqrt{4} }{2*1}\)

-  Evaluate the square root

 \(x=\frac{0\pm\sqrt{4} }{2*1}\)

\(x=\frac{0\pm2}{2*1}\)

- add zero

 \(x=\frac{0\pm2}{2*1}\)

  \(x=\frac{\pm2}{2*1}\)

-  Multiply the numbers

 \(x=\frac{\pm2}{2*1}\)

 \(x=\frac{\pm2}{2}\)

   4) separate the equations

  -  To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

                  \(x=\frac{2}{2}\\x=\frac{-2}{2}\)

          5) solve

 - Rearrange and isolate the variable to find each solution

    \(x=1\\x=-1\)        

___________

\(x=1\\x=-1\)

Answer:

B. 0.5

Step-by-step explanation:

There are 10 circles in total. 5 are shaded in.

We would make that a fraction.

5/10

Then we would convert it to a percent

50%

Then we will convert it to a decimal

0.5

Therefore, your answer would be B. 0.5

I'm pretty sure its 17. If 11+7=18

The options A, B, C and E are the correct answers and the expressions in those options are not polynomial.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

A) \(x^{\frac{2}{3}}+\sqrt{3}x+1\)

Here, the exponent of variable is 2/3

So, the expression is not polynomial.

B) \(\frac{2}{3}x^{-2}+x+1\)

Here, the exponent of variable is -2

So, the expression is not polynomial.

C) \(x^{-2}+x+1\)

Here, the exponent of variable is -2

So, the expression is not polynomial.

D) x³+0x²+2x+√2

Here, the exponent of variables is 3, 2 and 1.

So, the expression is polynomial.

E) \(\frac{2}{x^3} +x+\frac{1}{2}=2x^{-3}+x+\frac{1}{2}\)

Here, the exponent of variable is -3

So, the expression is not polynomial.

Therefore, the options A, B, C and E are the correct answers.

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Answer:

19/3 (6 1/3)

Step-by-step explanation:

Solving problems involving normal proportions requires careful attention to detail, as well as a good understanding of statistical concepts such as standardization and probability.

When solving a problem where you want to find normal proportions, you can follow the following steps:

Define the problem: Clearly define the problem you are trying to solve, including any relevant details such as the population, sample size, and the variable of interest.

Check assumptions: Check if the conditions for using normal distributions are met. The data should be continuous, the sample size should be large enough, and the distribution should be approximately normal.

Calculate the sample mean and standard deviation: If you are working with a sample, calculate the sample mean and standard deviation.

Standardize the data: Convert the data into standard normal distribution, by subtracting the mean from each observation and dividing by the standard deviation.

Determine the probability: Once the data has been standardized, you can use a standard normal distribution table or a calculator to determine the probability of the variable falling within a certain range or above/below a certain value.

Interpret the results: After determining the probability, interpret the results in the context of the problem. For example, you might conclude that there is a 95% chance that a randomly selected observation falls within a certain range, or that the variable of interest is higher than a certain value in 5% of cases.

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