The Choir Booster Club had a budget of $1,500 at the start of the school year. They spend $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party. How much does the booster club have left in their budget?

Answer:

Option B

Step-by-step explanation:

Let's understand this problem in a simpler way,

If two points P and R represent the numbers as,

P = 2 and R = - 4

Then distance between these points will be,

P - R = -4 - 2  Or R - P = 2 - (-4)

        = -6 Or R - P = 6

        = ±6

But the distances are always positive so 6 will be the answer.

That's why we represent the distances between two points as,

|P - R| (Absolute value of the difference)

Option B is the answer.

Answer:

[tex]\mathrm{C)\:}x=15,\:-7[/tex]

Step-by-step explanation:

For [tex]|a-b|=c[/tex], there are two possible cases:

[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]

Solving for both cases, we get:

[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]

9514 1404 393

Answer:

  Jermaine and Sadie have similar triangles. Aisha's is not similar.

Step-by-step explanation:

The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.

  Jermaine's triangle has side ratios ...

     8 : 14 : 20 = 4 : 7 : 10

  Sadie's triangle has side ratios ...

     2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)

  Aisha's triangle has side ratios ...

     4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)

Sadie and Jermaine have similar triangles.

Answer:

d, they are both parameters because they mean allllll the juniors and seniors, not just pulling out a few and taking a sample

Step-by-step explanation:

Answer:

The answer is "D".

Step-by-step explanation:

3.45 is a parameter and 3.62 is a parameter.

Given:

The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).

It is reflected over the line x=2.

To find:

The vertices of the image A'B'C'D'.

Solution:

If a figure is reflected over the line x=a, then

[tex](x,y)\to (-(x-a)+a,y)[/tex]

[tex](x,y)\to (-x+a+a,y)[/tex]

[tex](x,y)\to (-x+2a,y)[/tex]

The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is

[tex](x,y)\to (-x+2(2),y)[/tex]

[tex](x,y)\to (-x+4,y)[/tex]

Using this rule, we get

[tex]A(-3,4)\to A'(-(-3)+4,4)[/tex]

[tex]A(-3,4)\to A'(3+4,4)[/tex]

[tex]A(-3,4)\to A'(7,4)[/tex]

Similarly,

[tex]B(-1,4)\to B'(5,4)[/tex]

[tex]C(-1,-1)\to C'(5,-1)[/tex]

[tex]D(-3,-1)\to D'(7,-1)[/tex]

The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).

Note: All options are incorrect or not in proper format.

Answer:

3

Step-by-Step explanation:

I just worked it out! Good luck :)

Step-by-step explanation:

We have Angle ZWD = Angle DWN.

=> 5v - 7 = 4v + 8, v = 15.

Therefore x = Angle ZWD = 5(15) - 7 = 68.

Answer:

B 8a3+4a2b+2ab2+b3

Step-by-step explanation:

2PM 6is the

Answer:

If its 4 sides need to be equal and 4 angles need to be equal then it is a square.

Step-by-step explanation:

[tex]\huge\sf\fcolorbox{green}{pink}{Answer}[/tex]

Square is only the regular quadrilateral

Answer:

The sequence is:

5, 14, 23, 32

Step-by-step explanation:

We know that an Arithmetic sequence with a₁ and the commo difference 'd' has the nth term such as:

aₙ = a₁ + (n-1)d

Given the arithmetic sequence

5, _____, ______, 32

here:

a₁ = 5

n = 4

aₙ

so substituting a₁ = 5, n = 4 and aₙ = 32 in the nth term

aₙ = a₁ + (n-1)d

32 = 5 + (4-1)d

32 = 5 + 3d

3d = 32-5

3d = 27

divide both sides by 3

3d/3 = 27/3

d = 9

Therefore, the common difference: d = 9

Determining the 2nd term:

Using the formula

aₙ = a₁ + (n-1)d

substitute n = 2, a₁ = 5, d = 9

a₂ = 5 + (2-1)9

a₂ = 5 + 1(9)

a₂ = 5 + 9

a₂ = 14

Determining the 3rd term:

Using the formula

aₙ = a₁ + (n-1)d

substitute n = 3, a₁ = 5, d = 9

a₃ = 5 + (3-1)9

a₃ = 5 + 2(9)

a₃ = 5 + 18

a₃ = 23

Thus, the sequence becomes:

5, 14, 23, 32

Answer:

1.998 km

Step-by-step explanation:

From the question, we know that:

When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km.

We convert 2000 mm to km

1 mm =1 × 10^-6 km

2000mm = x

2000mm × 1 × 10 ^-6km

= 0.002km

Subtracting this from the total distance

2.5km - 0.002 km

= 2.498 km

1 metre = 0.001 kilometre

We convert

He walks 500m to the bus stop, he then gets on the bus.

1 metre = 0.001 kilometre

We convert 500 m to km

1 m = 0.001 km

500m = x

x = 500 × 0.001

= 0.5 km

Subtracting this from the current distance, the distance he travelled on the bus is:

2.498km - 0.5km

= 1.998 km

Therefore, he travelled 1.998 km on the bus

Answer: 44.4

Step-by-step explanation:

We are asked to find angle V, so we are going to use our trig ratios to explain this one. They have given us the side opposite of angle v and the hypotunse. angle v. so we are going to be using sine. . SOHCAHTOA.  

First, let use the ratio for sine [tex]\frac{opp}{hypo\\}[/tex] which equal to [tex]\frac{7}{10}[/tex]

then we are to take the arcsine or the sine inverse because we are trying to the angle measure not side length. ([tex]sin^{-1}[/tex](7/10) which gives us 44.4

Answer:

Side c:

Finding the angles:

Answer:

Option C is correct answer.

Step-by-step explanation:

We need to draw the graph of piece wise function

[tex]f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\][/tex]

So, for drawing the graph, we will find values of f(x) for both the given equations.

First finding f(x) for [tex]-2-x \:\: if\:x\leq1[/tex]

The value of x must be less than or equal 1

x       f(x)

1        -3

0       -2

-1       -1

-2       0

-3       1

-4       2

The graph will start from closed circle because x ≤ 1

Now, finding values of f(x) for [tex]-3+2x\: if\:x>1[/tex]

The value of x must be greater than 1

x        f(x)

2        1

3        3

4        5

5        7

The graph will start from open circle because x> 1

Now, plotting these numbers we will get graph of Option C.

Option C is correct answer.

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Answer:

  not similar

Step-by-step explanation:

"Triangle" DPS cannot exist. Sides DP and DS are not long enough.

__

Side ratios are not the same. In the top triangle, the length ratios are ...

  14 : 16 : 19

In the bottom triangle, the length ratios are ...

  7 : 8 : 19   (such a triangle cannot exist)

Since the ratios are not the same, the triangles are not similar.

Answer:

h(0)= -5

h(-2)= -7

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

x just represents a value, so simply plug 0 into the equation instead of x.

h(0)= -0 - 5

h(0) = -5

Answer: No C

Step-by-step explanation:

The x values of the coordinates cannot repeat.

Using a straight line test, a straight line can be drawn vertically on the x axis point of 4.

Answer:

10

Step-by-step explanation:

since i helped can i have brainlst please that would be greatly apericated

we have a total of 10 choices,

while we need SRS of size 2 only,

We know that,

A combination helps us to determine the number of possible arrangements that can be made through a set of data provided where the order of the selection does not matter.

where,

n is the number of choices,

r is the number of selection.

All 10 possible SRSs of size n = 2, are:

1.  Abigail & Bobby

2. Abigail & Carlos

3.  Abigail & DeAnna

4.  Abigail & Emily

5.  Bobby & Carlos

6.  Bobby & DeAnna

7.  Bobby & Emily

8.  Carlos & DeAnna

9.  Carlos & Emily

10.  DeAnna & Emily

To know more visit:

https://brainly.com/question/25351212

Answer:

y-4=5

add 4 on both sides

you get y = 9

replace y with 9

9 - 4 = 5

final answe is 5=5

Answer:

12

Step-by-step explanation:

1+3+4+6+6+8+9+11=48. Knowing this, we can now figure out the other side of the equation. To make both equations true, both sides must equal 48.

To this, simply divide 48 by 4.

48/4=12

Thus, your answer is 12

Answer: 12

Step-by-step explanation:

1+3+4+6+6+8+9+11 is 48 (you can double check)

48=4*X (calling x as the smiley).

Divide 4 by each side.

12=X

Answer:

$8.32

Step-by-step explanation:

You just multiply 0.16 with 52

Answer:

option 1

Step-by-step explanation:

Answer:

no sé eres tú

Step-by-step explanation:

Answer:

The quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].

Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.

Step-by-step explanation:

Given: The area of a rectangular television screen is [tex]3456\: in^{2}[/tex]. The width of the screen is [tex]24[/tex] inches longer than the height.

To find: The quadratic equation that represents the area of the screen, and what are the dimensions of the screen?

Solution:

Let the height of rectangular television screen be [tex]x[/tex] inches, then width of the rectangular screen be [tex](x+24)[/tex] inches.

Now, we know that area of a rectangle  [tex]= \text{length}\times\text{width}[/tex].

As per question,

[tex]x(x+24)=3456[/tex]

[tex]\implies x^{2} +24x=3456[/tex]

[tex]\implies x^2+24x-3456=0[/tex]

So, the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].

Now, to find the dimensions, we need to solve [tex]x^2 +24x-3456=0[/tex].

[tex]x^2 +24x-3456=0[/tex]

[tex]\implies x^2 -48x+72x-3456=0[/tex]

[tex]\implies x(x-48)+72(x-48)=0[/tex]

[tex]\implies (x-48)(x+72)=0[/tex]

[tex]\implies x-48=0[/tex]  or [tex]x+72=0[/tex]

[tex]\implies x=48[/tex] or [tex]-72[/tex]

Since, [tex]x[/tex] is the height of the rectangular television screen, and height cannot be negative. So, height of the television is [tex]48[/tex] inches, and width of the television screen is [tex]48+24=72[/tex] inches.

Hence,  the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].

Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.

Answer:= 13

Step-by-step explanation:

Answer:

The angles measure [tex]65[/tex]° and [tex]115[/tex]°.

Step-by-step explanation:

Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for

[tex]x+x+50=180[/tex]

Solving for [tex]x[/tex], we get:

[tex]x+x+50=180[/tex]

[tex]2x+50=180[/tex] (Simplify LHS)

[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]2x=130[/tex] (Simplify)

[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=65[/tex]

Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!

Answer:

x = 3

m<PAW = 1

Step-by-step explanation:

☆They are supplementary angles.

☆Supplementary angles equal 180 degrees.

[tex]- 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3[/tex]

☆Plug in for m<AEZ

[tex] - 1(3) + 4 \\ - 3 + 4 \\ 1[/tex]

☆m<PAW is corresponding to m<AEZ

☆Corresponding angles are congruent.

☆m<PAW equals 1.

Step-by-step explanation:

Determine if odd, even, or neither.

The function is neither even nor odd

Answer:

9

Step-by-step explanation:

The highest power of x is 9:  x^9

and therefore this polynomial will have 9 zeros.