(d) Statement one: Two adult tickets and three children tickets cost $43.00
Statement two: One adult ticket and one ticket for a child cost $18.50

(i) Let x represent the cost of an adult ticket and y the cost of a ticket for a child.
Write TWO equations in x and y to represent the information. (2mks)







(ii) Solve the equation to determine the cost of an adult ticket

Answer:

Hope it helps

Step-by-step explanation:

Answer:

m = - 15

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex](-\frac{3}{4}) ^{-4}[/tex] × [tex](-\frac{3}{4}) ^{-11}[/tex] = [tex](-\frac{3}{4}) ^{m}[/tex] , that is

[tex](-\frac{3}{4}) ^{(-4-11)}[/tex] = [tex](-\frac{3}{4}) ^{m}[/tex]

[tex](-\frac{3}{4}) ^{-15}[/tex] = [tex](-\frac{3}{4}) ^{m}[/tex]

Equating exponents gives

m = - 15

Answer:

Step-by-step explanation:

In step one she has added 1x to each side of the statement

in step two she has taken five away from both sides of the equation therefore simplifying the entire equation

in step three she divided both sides by three to have the unknown value on one side of the equation

Answer:

10-5=5 answer is 8^5

Step-by-step explanation:

Answer:

[tex]8^{5}[/tex]

Step-by-step explanation:

[tex]\frac{8^{10} }{8^{5} }[/tex]

Where are there more 8's ?

top

How many more?

5

Then they stay on top of fraction.

Another way :

[tex]x^{a}[/tex] ÷ [tex]x^{b}[/tex] = [tex]x^{a-b}[/tex]

[tex]8^{10}[/tex]  ÷ [tex]8^{5}[/tex] = [tex]8^{10-5}[/tex] = [tex]8^{5}[/tex]

Answer:

C

Step-by-step explanation:

[tex]y=\sqrt{x-1} +4[/tex]

graph is shifted right 1 unit and 4 units up.

Work Shown:

Apply the slope formula

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

m = (-2-6)/(1-0)

m = -8/1

m = -8

The slope is -8

We can think of it like saying "go down 8 and move to the right 1 unit", since -8 = -8/1.

Put another way: slope = rise/run = -8/1

rise = -8 and run = 1.

Answer:

-8

it's easy just use the equation y2-y1 ÷ x2-x1

Answer:

A

Step-by-step explanation:

The first thing we have to do here is to subtract g(x) from f(x)

We have this as;

2x + 4 -(3x-7)

= 2x + 4-3x + 7

= -x + 11

Now, we substitute the value of x for 5

We have -5+ 11 = 6

Answer:

x ≤ 3

Step-by-step explanation:

2(4+2x)≥5x+5

8+4x≥5x+5

4x-5x≥5-8

-x≥-3

x ≤ 3

[tex]\tt\displaystyle\2(4+2x)\geq 5x+5\\\\8+4x\geq 5x+5\\\\4x-5x\geq 5-8\\\\-x\geq -3\\\\x\leq 3 \\\\Answer: x\leq 3 \quad or \quad x\in(-\infty;3][/tex]

Answer:

#1: (B, D, E)

#2: (D) f(q) = 2q + 3

#3: (C) 1

#4: (B) f(5) = -1

#5: (A) - 8

Step-by-step explanation:

Question 1:

The number inside the parentheses is the input value, or x coordinate, and the output value (the number on the right side of the equal sign) is the y coordinate.

Use basic graph plotting skills to see if the x coordinate has a y coordinate value that's ON the graph line.

Question 2:

The variable "q" is our independent variable, also known as our x variable if you used the y = mx + b formula.

To rewrite 6q = 3s - 9 into function notation, you would solve for variable "s" using basic algebra:

6q = 3s - 9

6q + 9 = 3s

2q + 3 = s

s = 2q + 3 or f(q) = 2q + 3

Question 3:

The number inside the parentheses, -2, is the input value, or the x coordinate. Looking at the table, you can see that when you input -2, you get an ouput of 1.

Question 4:

Use the same process as Question 1.

Question 5:

The number inside the parentheses, 5, is the input value, or the x coordinate. Looking at the table, you can see that when you input 5, you get an ouput of -8.

Hope it helps (●'◡'●)

Answer:

1. (2), (4), (5)

2. (4l

3. (3)

4. (2)

5. (1)

Step-by-step explanation:

1.

g(0) = 0

g(-1) = 1

g(1) = 1

2.

since q is the independent variable s must be dependent on q and hence s must be equal to f(q)

6q = 3s - 9

3s = 6q + 9

s = 2q + 3

f(q) = 2q + 3

that is the last option

3.

= 1

4.

= -1

5.

= -8

Answer:

Look below...

Step-by-step explanation:

Losing 7 cards in a deck: -7. Losing means negative.

Saving $102 in your wallet: 102. You are saving, that means you gain.

336 feet below sea level: -336. Below indicates less than 0,  which is negative.

Depositing $43 into your bank account: 43. Depositing means putting. If you put $43 in YOUR bank account, the bank account gains money. So you gain money. Making it positive.

1,000 feet above sea level: 1,000. Above indicates more than zero. Anything more than zero on a number line is positive.

Hope this helps :)

Answer:

The height of the tank in the picture is:

Step-by-step explanation:

First, to know the height of the tank, we're gonna change the unit of the volume given in liters to cm^3:

So:

Now, we must calculate the height of the tank that we don't know (the other part that isn't with water), to this, we can use the volume formula clearing the height:

Now, we must clear the height because we know the volume (1200 cm^3):

Height = volume of a cube / (long * wide)

And we replace:

Remember this is the height of the empty zone, by this reason, to obtain the height of the whole tank, we must add the height of the zone with water (7 cm) that the exercise give us:

In this form, we calculate the height of the tank in 19.5 cm.

Answer:

try 4

Step-by-step explanation:

basically need to find number that when multiplied 3 times equals 64 so 4*4*4=64

Answer:

118/125

Step-by-step explanation:

We can find first the probability that there isn’t suitable weather:

60/100 * 60/100 * 60/100 = 3/5 * 3/5 * 3/5 = 27/125

now we have just to do this operation

125/125 - 27/125 = 118/125

Answer:

Step-by-step explanation:

Surface:

surface area = 2 ends + side

The ends are both a circle and they are identical.

area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

then  [tex]\pi[/tex][tex]7^{2}[/tex] = 153.93804 [tex]cm^{2}[/tex]

since there are two ends multiply the above by 2

2*153.93804 =307.87608 [tex]cm^{2}[/tex]

the side is the length * height

length = perimeter of the circle , the perimeter of a circle is also the circumference.   circ = 2[tex]\pi[/tex]r

circ = 2*[tex]\pi[/tex]*7 = 53.407075

surface area of the side = 6* 53.407075=320.44245

add the two surfaces areas together :)

total surface area = 320.44245 + 307.87608 = 628.3185307 [tex]cm^{2}[/tex]

Volume:

volume is the area of the end times the height

volume = circle area * height

volume = 153.93804 * 6

volume = 923.62824 [tex]cm^{3}[/tex]

Hello,

d)

The tangential angle of mesure x intercept the same arc intercepted by the inscribed angle of mesure 70 have the same mesure:

x=70°

e)

There is a rectanglar triangle with a angle of 64°

The complement is 90°-64°=26°

The inscribed angle of mesure x has a mesure which is the half of the center angle of 26°

So x=13°

I hope i have used the right words in my answer.

Answer:

domain: (-∞  ,∞)

range: (2,∞ )

Step-by-step explanation:

Answer:

p = T - a - b

Step-by-step explanation:

T = a + p + b

p = T - a - b

The question is not complete as the scatter plot is missing.

Thus, I have attached the complete question showing the scatter plot.

Answer:

D: On a day with a high temperature of 0°C, the shop can expect to sell about 850 fluid ounces of hot coffee

Step-by-step explanation:

From the attached image showing the question and scatter plot, we can see that the scatter plot is modeled by the line; y = -5.9x + 850

Where;

x is the high temperature in °F

y is the amount of fluid ounces sold

Let's try x = 0°F

Thus;

y = 0 + 850

y = 850 fluid ounces

Let's try x = 10°F

Thus;

y = -5.9(10) + 850

y = 850 - 59

y = 791

This means for every increase in temperature of 10°F, the amount sold is approximately 60 fluid ounces lesser.

Looking at the options in the attached file, the only correct one that corresponds to our answer is option D where it says;. On a day with a high temperature of 0°C, the shop can expect to sell about 850 fluid ounces of hot coffee

Answer:

51= 1/2(160-x)

102=160-x

x=160-102=58

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because of the Isosceles Triangle Theorem, the angles across from the congruent sides will be congruent. That means that the angle x also measures 42 degrees.

Answer:

zero

Step-by-step explanation:

5x+10 = 5x-8

5x-5x = -8-10

0 = -18

so zero

===============================================

Work shown:

3/4 = 0.75

2 3/4 = 2 & 3/4 = 2 + 3/4 = 2 + 0.75 = 2.75

We can form a proportion and solve for x like so

(16 km)/(1 liter) = (x km)/(2.75 liters)

16/1 = x/2.75

16*2.75 = 1*x .... cross multiplication

44 = x

x = 44

The car will cover a distance of 44 km

Answer:

the picture I've given is an answer

Step-by-step explanation:

— If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) ... the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A .

Answer:

2

Step-by-step explanation:

Please Mark me brainliest

Answer:

Tara has to pay £324 for 4 nights

Step-by-step explanation:

Regular price of a room per night

= £90

Regular price of a room for 4 nights

= 90*4

= £360

Price of a room for 4 nights after discount

= 75% (360)

= 75/100 * 360 = 75 * 3.6

= £270

Price of the room after charging VAT

= 270 + 20%(270)

= 270 + 20/100 * 270

= 270 + 2 * 27

= 270 + 54

= £324

Answer:

Step-by-step explanation:

1 micron = 1 *  [tex]10^{-3} \ milli meter = \frac{1}{1000} \ millemeter[/tex]

1 micron  = 0.00003937 inches

Answer:

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