Tickets for a soccer game cost $5 for students and $8 for adults. the number of students was 7 less than 11 times the numbers of adults. the amount of the money from tickets was 3682 how many of each tickets were sold?tichets

Answer:

A. b+2(b+2b)

b + 2b + 4b = 7b

B. 3b + b = 4b

C. 2(2b) = 4b

None of them are equal to 9b

Answer:

[tex]\fbox {None}[/tex]

Step-by-step explanation:

A

B

C

The absolute value of the complex number is √2. The graph is plotted and attached.

A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.

The given complex number as;

2−i

The absolute value is found as;

[tex]\rm R = \sqrt{1^2 +(-1)^2 } \\\\ R = \sqrt 2[/tex]

The graph for the complex number is attached.

Hence the absolute value of the complex number is √2.

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The conversion ratio that can be illustrated will be converting 2030m to kilometers.

The unit conversion that can be illustrated based on the information can be convert 2030m to kilometers.

It should be noted that 1000 meters makes 1 kilometer. Therefore, rounding up 2030m mentally will be 2000m and the conversion to kilometers will be:

= 2000/1000

= 2 km

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Answer:

1/4

Step-by-step explanation:

4/8 = 1/2

1/2 x 1/2 = 1/4

Answer:

339.47

Step-by-step explanation:

100 - 24 = 76

258 = 76 percent

3.39473684211 = 1 percent

339.47 = 100 percent

Answer:

The decrease in price is $61.92

The sale price is $196.08

Step-by-step explanation:

24% × 258 = 61.92

258 decrease 24% =

258 × (1 - 24%) = 258 × (1 - 0.24) = 196.08

The factorisation of the given algebraic expression is [tex]6a^{2} (5a^{4}-4 )[/tex].

The given expression is [tex]30a^{6} -24a^{2}[/tex].

We need to factorise the given expression.

Each of these numbers and expressions is referred to as a factor of algebraic expressions if it is possible to express algebraic expressions as the product of numbers, algebraic variables, or algebraic expressions.

Now, [tex]30a^{6} -24a^{2}=6a^{2} (5a^{4}-4 )[/tex]

Therefore, the factorisation of the given algebraic expression is [tex]6a^{2} (5a^{4}-4 )[/tex].

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find hourly rate:

96 / 16 = 6 pounds per hour

6 x 1.5 = 9 pounds per hour for overtime.

9 x 4 = 36 pounds

96 + 36 = 132 pounds total

To prove that △DFE ~ △GFH by SAS similarity theorem, then option C. ∠DFE is congruent to ∠GFH is appropriate. So that: [tex]\dfrac{DF}{GF}[/tex] =[tex]\dfrac{EF}{HF}[/tex]  and ∠DFE is congruent to ∠GFH.The correct answer is option C.

The image of the triangle is attached with the answer below:-

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

Given ΔDEF as shown in the diagram attached to this answer, the following can be observed:

By comparing ΔDEF and ΔGFH

DF = DG + GF

    = 12 + 4

DF = 16

Also,

EF = EH + HF

   = 9 + 3

EF = 12

Comparing the sides of ΔDEF and ΔGFH, we have;

[tex]\dfrac{DF}{GF}[/tex] = [tex]\dfrac{EF}{HF}[/tex]  

[tex]\dfrac{16}{4}=\dfrac{12}{3}[/tex]

4 = 4

Thus, the two triangles have similar sides.

Comparing the included angle <DFE and <GFH, then;

∠DFE is congruent to ∠GFH

Therefore, to prove that △DFE ~ △GFH by the SAS similarity theorem;

[tex]\dfrac{DF}{GF}[/tex] =[tex]\dfrac{EF}{HF}[/tex]    and ∠DFE is congruent to ∠GFH.

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Answer:

C

Step-by-step explanation:

Edg

Answer:

the answer is c

Step-by-step explanation:

Answer: Translate the graph of y=|x| 6 units to the right.

The equation for the red graph will be g(x) = x² + 3.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function f(x) is given below.

f(x) = x²

Then the function g(x) will be given as

g(x) = x² + 3

Then the equation for the red graph will be g(x) = x² + 3.

The missing graph is given below.

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Answer:

he subtracted the wrong coordinates to find the horizontal leg

Step-by-step explanation:

It should be 4-(-3) but he labeled 4-(-1)

Answer:

oh.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The sides length of the cubical box is 3.8 cm if the volume of a cubical box is 54.872 cm³ option second is correct.

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have a volume of a cubical box is 54.872 cm³

V = 54.872 cm³

As we know the volume of the cube:

V = side³

54.872 = side³

Taking cube root on both sides:

side = 3.8 cm

Thus, the sides length of the cubical box is 3.8 cm if the volume of a cubical box is 54.872 cm³ option second is correct.

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Answer: B -60

Step-by-step explanation: When you plug in -60 into the equation it all equals out into -12 = -12, which is true. All of the other solutions don't work.

Answer:

B. x = -60

Step-by-step explanation:

8 + x/3 = 1/6 (x-6) - 1

Multiply both sides by 6.

48 + 2x = x - 6 - 6

x = -12 - 48

x = -60

Answer:

Run 4 hours, Walk 8 hours.

Step-by-step explanation:

Let R be the running time

Let W be the walking time

Distance = Speed x Time

48 = 6R + 3W (equation 1)

12 = R + W (equation 2)

We will use elimination method to solve for these simulteanous equations.

Multiply Equation 2 by 3.

12x3 = 3(R+W)

36 = 3R + 3W (equation 3)

now subtract equation 3 from equation 1.

48-36 = 6R - 3R + 3W - 3W

12 = 3R

R = 12/3

= 4hours

now Substitute R into equation 2.

12 = 4 + W

W = 12 - 4

= 8

Therefore Michael plan to run for 4 hours and walk for 8 hours.

Answer:

p= 80

Step-by-step explanation:

p+8 =  8 x 11

p+8 = 88

p= 88-8

p= 80

I don't know what the word or phrase is, but with the parameters you've given, 100%

Using the Empirical Rule, it is found that standard deviation of the sample proportions is of 0.058.

It states that, for a normally distributed random variable:

0.684 and 0.916 is within 2 standard deviations of the mean(below and above), hence there are 4 standard deviations between these measures, so:

4s = (0.916 - 0.684)

s = (0.916 - 0.684)/4

s = 0.058.

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Answer:

Step-by-step explanation:

hello :

y=x²-10x+16  in the form y=(x-h)²+k

y= x²-2(5)(x)+16  

y = x²-2(5)(x)+5²-9

y= (x-5)²-9    when h=5 and k = -9

Answer:

15%

Step-by-step explanation:

3/20x100=15

Answer:

-2/7

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1-3)/( 3 - -4)

    = (1-3)/( 3+4)

    = -2/7

The mean absolute deviation of the number of books is 1.84

The dot plot of the number of books is in the attached figure.

From the figure, we have:

x      f

1       1

2      2

3      2

4      3

5      1

6     2

7     3

8     1

Start by calculating the mean using:

[tex]\bar x= \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x= \frac{1 * 1 + 2 * 2 + 2 * 3 + 3 * 4 + 1 * 5 + 2 * 6 + 3 *7 + 1 * 8}{1 +2+2+3+1+2+3+1}[/tex]

Evaluate the sum and products

[tex]\bar x= \frac{69}{15}[/tex]

Divide

[tex]\bar x= 4.6[/tex]

The mean absolute deviation is then calculated as:

[tex]|\bar x| = \frac{\sum f|x - \bar x|}{\sum f}[/tex]

So, we have:

[tex]|\bar x|= \frac{1 * |1 -4.6|+ 2 * |2 -4.6| + 2 * |3 -4.6|+ 3 * |4 -4.6|+ 1 *| 5 -4.6|+ 2 * |6 -4.6|+ 3 *|7 -4.6|+ 1 * |8-4.6|}{1 +2+2+3+1+2+3+1}[/tex]

Evaluate the absolute difference

[tex]|\bar x|= \frac{1 * 3.6+ 2 * 2.6 + 2 * 1.6+ 3 * 0.6+ 1 *0.4+ 2 * 1.4+ 3 *2.4+ 1 * 3.4}{15}[/tex]

Evaluate the sum of products

[tex]|\bar x|= \frac{27.6}{15}[/tex]

Divide

[tex]|\bar x|= 1.84[/tex]

Hence, the mean absolute deviation of the number of books is 1.84

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Answer:

  A. single triangle. C = 8.74°, A = 1.26°, a = 1.01

Step-by-step explanation:

When two sides and an angle are given, the possibility of two (or zero) triangles exists only when the given angle is opposite the shorter of the two given sides. That is not the case here, so the given measures define one unique triangle.

The law of sines tells us the sides and angles have the relation ...

  sin(A)/a = sin(B)/b = sin(C)/c

We can use this first to find angle C:

  sin(C) = c/b·sin(B)

  C = arcsin(c/b·sin(B)) = arcsin(7/8·sin(170°)) ≈ 8.7394°

  ∠C ≈ 8.74°

Now that we know two angles, we can find the third:

  A = 180° -B -C = 180° -170° -8.74° = 1.26°

  ∠A = 1.26°

Using the law of sines again, we can find the measure of side 'a'.

  a = b·sin(A)/sin(B) = 8·sin(1.26°)/sin(170°) ≈ 1.01346

The measure of segment 'a' is about 1.01 units.

__

Additional comment

If 'a', 'b', and angle A are given, there will be zero triangles if b/a·sin(A) > 1. If b/a·sin(A) < 1 and b > a, there will be two (2) triangles. Otherwise, as here, there will be one unique triangle.

Answer:

20°

Step-by-step explanation:

take the sum of 3y + 10 and y and equal it to 90° that creates an equation making it easier for you to continue

Answer:

let's assume the opposite angle of Y to be X

angle Y = angle X ( vertically opposite angles)

3y + 10 + X + 90° = 180° ( forming linear pair)

3y + X + 100 = 180°

X + 3y = 80° ----(1)

Y + 3y = 80°

4y = 80°

y = 20°

Answer:

The given question is incomplete. The graphs for the question are attached below.

Total savings on other costs expected in the following month is 13,950.

Total other costs targeted for next month for the five locations:

Washington Place = 14,850

Lincoln Square = 9,900

Millienium Concourse = 18,000

The old mill = 13,500

CWG Tenton = 0

Step-by-step explanation:

According to the graphs, there are two parts to this question

1. In the following month, 10% savings on other costs are expected.

The graph is attached below for reference

10% savings on other costs are expected in the following month:

=> (4,000 + 2,000 + 5,000 + 2,000 + 2,500) * (1-10%)

=> 15,500 * [tex](1-\frac{10}{100})[/tex]

=> 15,500 * [tex]\frac{90}{100}[/tex]

=> 13,950

Total savings on other costs expected in the following month is 13,950

2. Total other costs target for next month for the five locations are:

Washington Place = 6,000+3,000+3,500+ 4,000 = 16,500 * 0.9 = 14,850

Lincoln Square = 5,000+ 2,000+ 2,000+2,000= 11,000 * 0.9 = 9,900

Millienium Concourse =7,000+3,000+5,000+5,000= 20,000 * 0.9 =           => 18,000

The old mill = 6,000+ 5,000+ 4,000=15,000 * 0.9 = 13,500

CWG Tenton = 0 * 0.9 = 0

Total other costs target for next month for the five locations:

Washington Place = 14,850

Lincoin Square = 9,900

Millienium Concourse = 18,000

The old mill = 13,500

CWG Tenton = 0

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