Answer:
£12.60
Step-by-step explanation:
let the cost of a child ticket be x then the cost of an adult ticket is x + 6
Sum the costs and equate to 45
x + 6 + x + 6 + 3x = 45 , that is
5x + 12 = 45 ( subtract 12 from both sides )
5x = 33 ( divide both sides by 5 )
x = 6.6
Cost of and adult ticket = x + 6 = 6.60 + 6 = £12.60
The cost of an adult ticket is £12.60.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
Mr. and Mrs. Jones buy cinema tickets for themselves and their three children.
That means, there are two adults and three children.
The cost of an adult ticket is £6 more than a child ticket.
Let n be the cost of a child.
The cost of the five tickets is £45.
That means,
the equation,
2(n+6) + 3n = 45
n = 33/5
n = 6.6
The cost of an adult ticket is £12.60.
Therefore, the cost of an adult ticket is £12.60.
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if 100g can make 24 cakes, how much flour is needed to make 48?
Answer:
200g
Step-by-step explanation:
24x2=48
100x2=200
Give two solutions of the inequality: p ≤ 3
Answer:
3,2
Step-by-step explanation:
3 is equal to 3 which can be it and 2 is less than 3
PLLLSSSSS ANSWER THIS 40 POINTS
A classmate walks into class and states that he has an extra ticket to a classical music concert on Friday night. He asks everyone in the class to put their name on a piece of paper and put it in a basket. He plans to draw from the basket to choose the person who will attend the concert with him. If there are 32 other people in class that night, what is your chance of being chosen to attend the concert? Round your answer to four decimal places, if necessary.
Lian buys 10 packs of batteries. C batteries are sold in packs of 6. AAA batteries are sold in packs of 8. Lian buys 72 batteries in all. Let x be the number of packs of C batteries. Let y be the number of packs of AAA batteries. Write an equation to find how many packs of each type of battery Lian buys.
i need this right awayyy just the equation pleaseeee
Answer:
x + y = 10
6x + 8y = 72
Step-by-step explanation:
someone please get the answer for combining B and C
the answer I put I'm not to confident with so I'm changing it to this bc I don't want anyone to get the wrong answer.
I NEED HELP ASAP!!!! PLZ!!!!
Answer:
10.1
Step-by-step explanation:
Step-by-step explanation:
it goes by this formula
[tex]a = \frac{1}{2} bh \\ \\ \\ a = \frac{1}{2} 6 \times 4.1 = 12.3[/tex]
help me out, please!
Answer:
y = 2/3(x - 3)
Step-by-step explanation:
slope of the line is 2/3
we can use point (3,0)
formula: y - y = m(x - x)
y - 0 = 2/3 (x - 3)
y = 2/3(x - 3)
PLS PLS PLS PLS HELP!
Brainliest! Due in 15 mins! Please!
f(1)=−6
f(2)=−4
f(n)=f(n−2)+f(n−1)
f(3)=?
Answer:
-10
Step-by-step explanation:
(-6)+(-4)
Find the midpoint between -5 and 37
Answer:
16
Step-by-step explanation:
5+37= 42. 42 is the distance between the 2.
divide that by 2- 21
then, subtract 5 to get to the midpoint. 21-5= 16
HELP ASAP PLEASE!!!
What is the degree measure of ABC given that A=25 & C=135?
Answer:
m∠ABC = 110°
Step-by-step explanation:
By the property of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles"
m∠BAC + m∠ABC = 135°
25° + m∠ABC = 135°
m∠ABC = 135° - 25°
= 110°
Therefore, measure of angle ABC is 110°.
Find the mean of the following set of data: 12, 8, 7, 12, 6
Answer: 9
Step-by-step explanation:
12 + 8 + 7 + 12 + 6 = 45
There are 5 numbers
45 / 5 = 9
Answer:
mean = 9
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] , then
mean = [tex]\frac{12+8+7+12+6}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9
A golf group planned a trip to Squaw Valley, and 104 of the members signed up to go. If this is 10% of the group, how many members does the golf group have in total?
Group of answer choices
a 1040 members
b 114 members
c 110 members
d 204 members
It costs $32 per day to rent a medium-sized car, plus $0.25 for each mile driven over 150 miles. The equation that represents this situation is y = 0.25x + 32, where y represents the total cost of renting a car, and x represents the number of miles driven over 150 miles.
a.) What is the slope and what does it represent in the context of this problem?
b.) What is the y- intercept and what does it represent in the context of this problem?
Answer:
Read explanation
Step-by-step explanation:
A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.
B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.
A football field measures 100m by 72m . A school marks a football field similar in shape to a full size football field but only 30m long . What is its width ?
Answer: 240 m
Step-by-step explanation:
Given
Football field measures [tex]100\ m\times 72\ m[/tex]
Another similar field of length
[tex]L=30\ m[/tex]
and width, say W is marked
So, their area must be the same
[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]
The width of the football field is 41.7m
The football measures 100m by 72 m. The school football field is similar.
Similar rectanglesFor similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:
100 / w = 72 / 30cross multiply
3000 = 72w
divide both sides by 72
w = 3000 / 72
w = 41.6666666667
w = 41.7 m
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Quadrilateral QRST has diagonals that are perpendicular but not congruent. Which type of quadrilateral could describe quadrilateral QRST?
Answer:
Rhombus
Step-by-step explanation:
This undoubtedly has to be a rhombus. When you look at other quadrilaterals for example and want to judge and or differentiate, we see that in the case of a square, the diagonals are equal to one another and they are not congruent. Same can be applied to that of a rectangle as well, it's diagonals aren't congruent, even if they appear perpendicular.
On the other hand, the diagonals of a rhombus is both perpendicular, and at the same time congruent. And thus, that's our answer
Please help.
Algebra.
If P is the incenter of triangle JKL, find PJ.
Answer:
PJ = 41.34
Step-by-step explanation:
P is incenter, three angles bisector meet
∠MJP ≅ ∠OJP
PM = PN = PO = 22 (radius: property of incenter)
∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO
ΔJPM ≅ ΔJPO (ASA) or (SAS)
LM = JO
2x + 3 = 5x - 45
3x = 48
x = 16
JM = 35
PJ = √35²+22² = √1709 = 41.34
The value of PJ in triangle KJL is 41.32 units.
What is incenter?The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.
Given that, P is incenter of the triangle KJL,
Considering the triangles ΔMJP and ΔOJP
PM = PO (property of incenter)
∠ JMP ≅ ∠ JOP
JP is common segment.
ΔJPM ≅ ΔJPO (by SAS rule)
JM = JO (CPCTC)
2x + 3 = 5x - 45
3x = 48
x = 16
JM = 35
Using the Pythagoras theorem,
PJ² = PM²+JM²
PJ = √35²+22² = √1709 = 41.34
Hence, The value of PJ in triangle KJL is 41.32 units.
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What inverse operation do you use to solve for m?
11=m - 4
Answer:
I would use addition
Step-by-step explanation:
Since addition is the opposite of subtraction.
Answer:
Addition
Step-by-step explanation You would use addition because you can cancle out the numbers that way
A teacher is planning a class trip to the aquarium. The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, and how many are for students?
Answer:
75 student tickets and 10 chaperone tickets
Step-by-step explanation:
First find out how many groups there are total by dividing 85 by 1 group total of 17 (15 students 2 chaperones).
85 / 17 = 5
Since you now know there are five groups of 15 students and 2 chaperones all you have to do is multiply 5 time 15 students and 5 times 2 chaperones.
15 x 5 = 75 for students
5 x 2 = 10 for chaperones
Please solve this for me
Answer:
Step-by-step explanation:
F
look at triangle ABC
ABD is an isosceles triangle where AB=AD
work out sizes of angle x,y and z
Answer:
Step-by-step explanation:
x+110=180
x=70 degrees
y+40+110=180
y=30 degrees
z+70+90=180
z=20 degrees
An initial investment of $1000 grows at an interest rate of 4% per year. How long will it take that investment to reach $1,500? Assume that you make no further deposits or withdrawals from the investment account. Round to the nearest tenth of a year.
Answer:
it would take 12.5 or 12 and a half years
Step-by-step explanation:
WILL MARK BRAINLIST!!!!!!!!!
The ratio of pitchers to catchers at a baseball camp was 11:4. If there were 64 catchers, how many pitchers were at the camp?
Answer:
There were 176 pitchers at the camp.
Step-by-step explanation:
Given that,
The ratio of pitchers to catchers at a baseball camp was 11:4.
Let pitchers be 11x and catachers be 4x.
Total catchers = 64
4x = 64
x = 16
So,
Pitchers = 11x
= 11(16)
= 176
Hence, there were 176 pitchers at the camp.
Mr. Smith decided to regularly wash his head with an antidandruff shampoo every three days. He began on January 1st, 2017 on Saturday. On what day of the week will he wash his head for the last time in 2017?
Answer:
If the first day is January 1st, 2017 on a "sunday"(Not saturday), that means that the last day is December 31, 2017 on a sunday. (Pog moment for mee)
Step-by-step explanation:
Identify proportional relationships
At the beginning of the year. Adrian's savings account balance was $28. Each week, he deposits another $15
into that account, and he doesn't spend any of his savings.
Is his savings account balance proportional to the number of weeks since the start of the year?
Choose 1 answer:
Yes
No
Dort byoblem
Stuck? Watch a video or use a hint.
9514 1404 393
Answer:
No
Step-by-step explanation:
The initial balance at the beginning of the year is not zero, so the balance is not proportional to the time since the beginning of the year.
__
A proportional relationship always starts at zero when the independent variable is zero.
A pyramid has a base area of 29.4 cm² and a height of 2 cm.
The volume of the pyramid is ___ cubic centimeters.
Do not round your answer.
Answer:
V= 232.4
Step-by-step explanation:
V= 1/3 x 28 x 24.9
What's the answer to this?
Answer:
the answer is 3.26and3.51
Step-by-step explanation:
the difference between them is 0.25 so by adding 3.01+0.25=3.26
3.26+0.25=3.51
3.51+0.25=3.76
3.76+0.25=4.01
simplify the expression 3x -2y+6-6x+5y-8
Answer:
-3x + 3y - 2
Step-by-step explanation:
Collect like terms and add/subtract
Just please help me, im trying to cram multiple things at once (house is crazy) and I just cant seem to concentrate and understand these.
Answer:
Step-by-step explanation:
here is how you find the answer
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
now apply the above rules to the given triangle
where we are given the angle of 30° and the Adj side of 27
y is the Hyp of this triangle and x is the Opp side of this triangle, now plug in the given values as follows
so use CAH Cos(30) = 27 / Hyp
Hyp = 27 / Cos(30)
Hyp = 27 / ([tex]\sqrt{3}[/tex] / 2)
Hyp = 27 * 2 / [tex]\sqrt{3}[/tex]
Hyp = 54 / [tex]\sqrt{3}[/tex]
y = 54 / [tex]\sqrt{3}[/tex]
use SOH, since we know the exact value for the Hyp from above
Sin(30) = Opp / ( 54 / [tex]\sqrt{3}[/tex] )
Sin(30) * 54 / [tex]\sqrt{3}[/tex] = Opp
1/2 * 54 / [tex]\sqrt{3}[/tex] = Opp
27 / [tex]\sqrt{3}[/tex] = Opp
x = 27 / [tex]\sqrt{3}[/tex]
:)