What value of x would make △PQR~△MNL?

Answer:

3. 314 student and 226 adult

4. x = 6.5, y = -0.5

Step-by-step explanation:

3. First we will take our information and make a system of equations:

[tex]2.4a+1.25s=934.9[/tex]

[tex]a+s=540[/tex]

[tex]a[/tex] is the number of adult tickets sold and [tex]s[/tex] is the number of student tickets sold.

From the second equation we can rearange it to be:

[tex]a=540-s[/tex]

Then we can plug in our new value of [tex]a[/tex] to our first equation

[tex]2.4(540-s)+1.25s=934.9[/tex]

[tex]1296-2.4s+1.25s=934.9[/tex]

[tex]1.15s=361.1[/tex]

[tex]s=314[/tex]

We can then find [tex]a[/tex] by plugging in s to our second equation

[tex]a+314=540[/tex]

[tex]a=226[/tex]

4. It is mostly solved already. We can take the value of y from the first equation and plug it into the second to get:

[tex]3x -5(-5x+32)=22[/tex]

[tex]3x+25x-160=22[/tex]

[tex]28x=182[/tex]

[tex]x=6.5[/tex]

Then plug our value of x into the first equation to get:

[tex]3(6.5)-5y=22[/tex]

[tex]19.5-5y=22[/tex]

[tex]5y=-2.5[/tex]

[tex]y=-0.5[/tex]

Answer:

  24.2% decrease

Step-by-step explanation:

The distance Javi must ride changed by ...

  1.25 -1.65 = -0.40 . . . miles

The ratio of that to the original distance is ...

  -0.40/1.65 × 100% ≈ -24.2%

The distance decreased by 24.2%.

Answer:

-6[tex]\geq[/tex]x[tex]\geq[/tex]12

Step-by-step explanation:

I can't match it to one of your solutions but I can explain this:

-8[tex]\geq[/tex]x-2[tex]\geq[/tex]10

We can add 2 to each side to eliminate the -2 in the centre.

-6[tex]\geq[/tex]x[tex]\geq[/tex]12

Answer:

In short, Your Answer would be either 1 or 7

Step-by-step explanation:

|4x + 12| = 16

As it is in modulus function, it could be either +ve or -ve

4x+12 = 16   OR   4x - 12 = 16

4x = 16-12    OR   4x = 16 + 12

4x = 4           OR   4x = 28

x = 4/4     OR  x = 28/4

Answer:

The ordered pair is not a solution as both sides of the equation do not equal each other.  

Step-by-step explanation:

(3,2);  x + 6y = 13

(3) + 6(2) = 13

3 + 12 = 13

15 = 13

Answer:

3x+1 and x+5 are the factors

Step-by-step explanation:

Here's the slide-and-divide method to find the factors:

[tex]3x^2+16x+5[/tex]

[tex]\frac{3x^2}{3}+16x+5(3)[/tex]

[tex]x^2+16x+15[/tex]

[tex](x+1)(x+15)[/tex]

[tex](3*x+1)(x+\frac{15}{3})[/tex]

[tex](3x+1)(x+5)[/tex]

Answer:

x is 15.0

Step-by-step explanation:

We can use pythagorus theorum to find the missing side of the triangle.

a² = b² + c²

a² is the longest side of the triangle, so a= 8.

b² (or you can even take c²) is one of the two sides, so b= 3

We have to find  c². So make c² the subject of the equation.

c² = a² - b²

c² = 8² - 3²

c² = 64 - 8

c² = 56

∴ c = [tex]\sqrt{56}[/tex] = 7.48 (in 2 decimal place / 3 significant figures)

Now we can assume that c is half of x.

So x = 7.48 + 7.48 = 14.96

∴ x = 15.0 (to the nearest tenth).

Answer: x = 11

Step-by-step explanation:

You didn't state what you needed for these problems so I'm going to assume you need to solve for X.

1st Equation:

3x - y = 23 --> y = 3x - 23

2nd Equation:

2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3

Set Equations = to Each other

3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23

9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3

7x/3 X 3/7 = 77/3 X 3/7

x = 11

If you need to solve for y as well plug the x value back into the original equation and solve.

Answer:

54

Step-by-step explanation:

C=πd

π=3

d=18

C=3×18

Therefore C=54

Answer:

c=54

Step-by-step explanation:

Answer:

-2°C is the answer

Step-by-step explanation:

Hope this helps:)

Answer:

B

Step-by-step explanation:

So we are at C:

We need to find the dilation:

First we add 4 to x (meaning we move the point C 4 points to the right)

Then we need to subtract 10 to y (meaning we move the point C 10 points downwards)

This will give you your point:

Which is B

Hope this helps!

Answer:

  3, 5, 2, 1, 4

Step-by-step explanation:

In step 2, parentheses are eliminated: distributive property.

In step 3, x is subtracted: subtraction property.

In step 4, 12 is added: addition property.

In step 5, the equation is divided by 17: division property.

__

The properties are listed in the order of statements ...

  3, 5, 2, 1, 4

Answer:

No solution

Step-by-step explanation:

Answer:

2:3

Step-by-step explanation:

Simply divide each by 10

20/10=2

30/10=3

and your ratio is 2:3

Answer:

I believe 1.) is x=y-4/2 and 2.) x=y-4/2 as well

Step-by-step explanation:

1.)

y=2x+4

-subtract 4 on both sides-

y-4=2x

-divide 2 on both sides-

x=y-4/2

2.)

y=2(x+2)

-distribute the 2-

y=2x+2

-subtract 2 on both sides-

y-2=2x

-divide 2 on both sides-

x=y-2/4

I dont know exactly if this is correct, but i hope it helps! :)

Answer:

3 < r

Step-by-step explanation:

167<6+7(2+7r)

distribute the 7 to the 2 and 7r

7 * 2 = 14 and 7 * 7r = 49r

167 < 6 + 14 + 49r

combine like terms: 6 + 14 = 20

167  < 20 + 49r

subtract 20 from both sides

147 < 49r

divide both sides by 49

3 < r

Answer:

22

Step-by-step explanation:

-10/-2 is 5

5+17 is 22

Answer:

1.2 cups

Step-by-step explanation:

6 cups / 5 batches = 1.2 cups/batch

3(x - 2) = 3x - 6 ---> Distributive

3+ (4 + 5) = (3 + 4) + 5 ---> Associative

- 4x - 8 = – 2(2x + 4) ---> Distributive

4.5.6=6.4.5 ---> Commutative

(2.3). 7 = 2 · (37) ---> Associative

Step-by-step explanation:

# easy learning

good luck and god Blees

Answer:

c

Step-by-step explanation:

i know because im not g.a.y like u guys

Answer:

y=(-1/2)(x)-8

Step-by-step explanation:

Since they give the slope and y intercept, you can literally plug it into the equation:

y=mx+b

where m is slope and b is y interecept.

Therefore, we get

y=(-1/2)(x)-8

Answer:

no because r is a varible that dont have number

The correct expression of  r less than 52 is r<52.

An expression is combination of variables, numbers and operators.

The given expression is r less than 52

We have to write in the form of inequality

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The less than represents the relationship between r and 52

In the given expression r is the variable

r<52 is the required expression or inequality

Hence, the correct expression of  r less than 52 is r<52.

To learn more on Expressions click:

https://brainly.com/question/14083225

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Answer:6_1/4

Step-by-step explanation:

They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.

This means that you just have to divide 18_3/4 bu 3, which is 6_1/4

Answer: x = 13, Angle ABE = 51°

Step-by-step explanation:

Since angle ABC is 90° and angle EBC is 39°, subtract them.

90° - 39° = 51°

This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).

51 = 3 (x + 4)

Multiply 3 by x and 4.

51 = 3x + 12

Subtract both sides by 12.

39 = 3x

Divide both sides by 3.

x = 13

The solution of the quadratic equation x² + 7x - 18 = 0 will be 2 and negative 9.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic equation is given below.

x² + 7x - 18 = 0

Factorize the quadratic equation, then we have

x² + 7x - 18 = 0

x² + 9x - 2x - 18 = 0

x(x + 9) - 2(x - 9) = 0

(x + 9)(x - 2) = 0

x = 2, -9

The arrangement of the quadratic condition x² + 7x - 18 = 0 will be 2 and negative 9.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer:

-2x+y=12

Step-by-step explanation:

linear equation

Answer:

f(x)=12(1.2)x

Step-by-step explanation:

A rigid transformation is one in which the distance between pairs of points

are preserved, and the image and preimage have the same dimensions.

Reasons:

The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)

The given transformations are;

1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis

The above transformation is a double reflection.

2. GHIJ is rotated about the origin 90° counterclockwise. The resulting

image is translated up 2 units.

3. GHIJ is dilated by a scale factor of [tex]\mathbf{\frac{1}{2}}[/tex], with the center of dilation at the

origin. The resulting image is translated 2 units left.

Required:

The transformations that produce an image that is congruent to the given figure:

Solution:

Two figures are congruent if they have the same size and shape.

With the given figure being the trapezoid GHIJ, we have that a

transformation that will give an image that is congruent to the preimage

which is the trapezoid GHIJ is a rigid transformation.

Rigid transformations are;

The combinations of transformation given within the scenario that consists

of only rigid transformations are scenario 1 and scenario 2.

Therefore, the correct option is; Numbers 1 and 2.

Learn more about rigid transformation here:

https://brainly.com/question/1801406

Answer:

option A is correct

hope it helps :)

Step-by-step explanation:

The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. It states that

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

Therefore, looking at the options, the true statement id

A) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.