Answer:
The cost of an adult ticket is $12.50
Step-by-step explanation:
The given information are;
The cost of two adult tickets and three children tickets = $43.00
The cost of one adult ticket and one child ticket = $18.50
Whereby the cost of an adult ticket is represented by x and the cost of a child's ticket is represented by y, we get the following two simultaneous equations;
2·x + 3·y = 43.00...(1)
x + y = 18.5...(2)
(ii) Multiplying equation (2) by 2 and subtracting the result from equation (1) gives;
2·x + 3·y - 2×(x + y) = 43 - 2×18.5 = 6
2·x - 2·x + 3·y - 2·y = 0 + y = 6
∴ y = 6
The cost of each the children ticket = $6.00
From equation (2), where y = 6, we get;
x + y = 18.5
∴ x + 6 = 18.5
x = 18.5 - 6 = 12.5
The cost of an adult ticket, x = $12.50.
What is the multiplicative rate of change for the exponential function f(x) = 21
2
find the estimates for the following:
Answer:
Hope it helps
Step-by-step explanation:
find the value of m. (-3/4)-⁴×(-3/4)-¹¹ = (-3/4)^m
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
How many solutions does the equation 5X +10 equals 5X - 8 have
A: zero
B: one
C:Two
D: infinity many
Answer:
zero
Step-by-step explanation:
5x+10 = 5x-8
5x-5x = -8-10
0 = -18
so zero
A car can run 16 km using 1 litre of pertol. How much distance will it cover using 2 3/4liters of petrol
===============================================
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
Plz help me.
I WILL GIVE BRAINLY
Answer:
p = T - a - b
Step-by-step explanation:
T = a + p + b
p = T - a - b
1. The diagram shows a semicircle OABC. If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A
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 .
Tara looks up hotel room prices for a holiday.
A hotel has a 25% off sale on its prices.
A VAT charge of 20% must be added on at the end of the transaction after any discount.
If the regular price of a room is £90 per night, how much will Tara pay for 4 nights?
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
A cylindrical container closed of both end has a radius of 7cm and height of 6cm A.)find the total surface area of the container B.) find the volume of the container
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]
A scientist hopes to launch a weather balloon on one of the next three mornings. For each morning, there is a 40% chance of suitable weather. What is the probability that there will be at least one morning with suitable weather?
SOMEONE PLEASE HELP ME.
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
Hello Freinds
Pls answer
1 micron is equal to ?
the right answer will be marked as brainlist! ✌
Answer:
Step-by-step explanation:
1 micron = 1 * [tex]10^{-3} \ milli meter = \frac{1}{1000} \ millemeter[/tex]
1 micron = 0.00003937 inches
Answer:
hello good morning ✌☺
I hope you are fine ❗
its may help you !!!!¡¡¡¡¡¡¿¿¿¿¿¿♤♤♤
llxXKHaNZaDaXxll 《《~_^)⌐╦╦═─
The owner of a coffee shop compared the amount of hot coffee per day, in fluid ounces, sold and the daily high temp. In degrees f per day, 5.9x+850=
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
GIVING 15 POINTS PLS HELP!!!
Part A: factor 2x^2b^2 + 5xb^2 + 2b^2. Show your work.
Part B: factor x^2 - 8x + 16. Show your work.
Part C: factor x^2 - 49. Show your work.
Answer:
the picture I've given is an answer
Create 5 examples of gains and losses using positive and negative numbers. Explain your examples.
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 :)
f(x)=3^x+2 domain and range
Answer:
domain: (-∞ ,∞)
range: (2,∞ )
Step-by-step explanation:
HELPPPPPP i will give brainliest!!!!!
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]
Find the measure of the indicated angle
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.
plz help ASAP with explanation
Answer:
The height of the tank in the picture is:
19.5 cmStep-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:
1 liter = 1000 cm^3So:
1.2 liters = 1200 cm^3Now, 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:
Volume of a cube = long * wide * heightNow, we must clear the height because we know the volume (1200 cm^3):
Height = volume of a cube / (long * wide)
And we replace:
Height = 1200 cm^3 / (12 cm * 8 cm)Height = 1200 cm^3 / (96 cm^2)Height = 12.5 cmRemember 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:
Heigth of the tank = Height empty zone + height zone with waterHeigth of the tank = 12.5 cm + 7 cmHeigth of the tank = 19.5 cmIn this form, we calculate the height of the tank in 19.5 cm.
WILL GIVE BRAINLIST!
What is the slope of the line graphed on the coordinate plane?
A graph with a line running through coordinates (0, 6) and coordinates (1, -2)
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
2(4+2x)≥5x+5 solve inequality
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]
find x. need help w these 2 questions in the pic, thanks!
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.
I need help,plss:(
Describe the graph of the function.
[tex]y = \sqrt{ x - 1 + 4} [/tex]
a). the graph is the radical function y=sqrt(x) shifted right 1 units and down 4 units.
b). the graph is the radical function y=sqrt(×) shifted left 4 units and up 1 units.
c). the graph is the radical function y=sqrt(x) shifted right 1 units and up 4 units.
d). the graph is the radical function y=sqrt(×) shifted left 1 units and up 4 units.
Answer:
C
Step-by-step explanation:
[tex]y=\sqrt{x-1} +4[/tex]
graph is shifted right 1 unit and 4 units up.
( 4.2 + 3 ) + (5.7 x - 2 ) + ( 5 — 2.6 x)
what is 888 + 48 ? pleaaaase
Can someone help me with this math homework please!
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
Helppp and explain !!!!
Answer:
try 4
Step-by-step explanation:
basically need to find number that when multiplied 3 times equals 64 so 4*4*4=64
What is the value of x? 160° 51°
Answer:
51= 1/2(160-x)
102=160-x
x=160-102=58
Step-by-step explanation:
helpppp and explain///////////////////////////
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
1+1
sjssssssssssssssssss
Answer:
2
Step-by-step explanation:
Please Mark me brainliest
Can someone help me with this math homework please!
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
