Step-by-step explanation:
Let a be the price of 1 adult ticket.
Let c be the price of 1 child ticket.
given,
[tex]6a + 2c = 124[/tex]
as equation 1,
and
[tex]3a + 5c = 100[/tex]
as equation 2.
Now we will solve for a and c using elimination method of simultaneous equations.
Now we multiply equation 2 by 2 to eliminate a and solve for c.
[tex]3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200[/tex]
This new equation will be equation 3.
Now we will use equation 1 - equation 3 to eliminate a and solve for c.
[tex](6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5[/tex]
Now substitute c into equation 2.
[tex]3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5[/tex]
Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.
Prove that triangle Bad is congruent to triangle ABC
Answer:
Step-by-step explanation:
From the diagram,
i. To prove that; ΔBAD ≅ ΔABC
It can be inferred that;
<BAD ≅ <ABC (right angle of a triangle)
AC ≅ BD (diagonal of a rectangle)
AD ≅ BC (property of the sides of a rectangle)
AB ≅ CD (property of the sides of a rectangle)
Therefore,
ΔBAD ≅ ΔABC (SAS, Side-Angle-Side, congruent relations)
ii. From the given rectangle,
AC = BD = diagonal
Since;
AD ≅ BC (property of the sides of a rectangle)
AB ≅ CD (property of the sides of a rectangle)
Then,
AC ≅ BD (diagonal property of a rectangle)
Greg is pouring an entire gallon of milk in 10 glasses. What part of a gallon will be in each glass?
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
→ Divide the gallon by the number of glasses
[tex]\frac{1}{10}[/tex]
A dunk tank with a radius of 36 inches
Answer:
The circumference of the circle is about 226.08 inches. ANSWER: 3.14 × 72 = 226.08 in.
Step-by-step explanation:
solve the square root equation
5-2√x=11
Answer:
There is no value to make x true in this equation.
This is a no-solution problem.
Which table shows y=-x+4
.....the correct answer is C
{362 – [6x3 + (48 ÷ 2) x 2]} + 3(9 +4)
Answer:
335
Step-by-step explanation:
Brep
Find the area of the following trapezoid. 5 7 14
Answer:
84
Step-by-step explanation:
5+7 times 14 divided by 2 i think there's no pic
Answer:
Welp, you didn't provide a picture so I'll go with every choice.
Step-by-step explanation:
If the two bases are 5 and 7, and the height is 14, then the area is 84.
If the two bases are 5 and 14, and the height is 7, then the area is 66.5.
If the two bases are 7 and 14, and the height is 5, then the area is 52.5.
The formula for the area of a trapezoid is : (a+b)/2 * h
help pls ! need it asap
Answer:
m∠X = 110°
m∠V = 60°
Step-by-step explanation:
1.) Angle Y and W are equal from the markers, which means the angles are equal
35*2 = 70
180 - 70 = 110 ( You know it has to be greater than 90 because it's larger than a corner angle)
2.) This is another isosceles (equal angle and sides)
Some times all sides aren't equal on isosceles but you can see these are
180/3 = 60°
Find the slope of the line -2x - 5y = 10
Answer:
-2/5
Step-by-step explanation:
To find the slope of an equation, we first convert the equation into Slope-Intercept Form: y = mx + b, where m is the slope, and b is the y- intercept.
=================================================================
Add 2x to both sides. [Addition Property of Equality]
-2x - 5y = 10
+2x +2x
-------------------
-5y = 2x - 10
Divide -5 on both sides. [Division Property of Equality]
-5y/-5 = 2x/-5 - 10/-5
y = -2/5 x + 2
Comparing to y = mx + b form, we see that our m value, or slope is -2/5
--------------------------------------------------------------------------------------------------------------
m= -2/5
=================================================================
Hope I Helped, have a fantastic day!
-Aadi x
HELP TIMED IS THIS RIGHT?
Answer:16 is the answer of your question
hope it is helpful to you
How is this happening i was only gone for 2 weeks
Answer:
step it up dont lack
Step-by-step explanation:
keep answering and helping others
An airplane is traveling at an altitude of 30,000 feet
above sea level and needs to get above 35,000 feet.
The airplane can climb 500 feet every minute. How
long will the airplane need to travel to get above 35,000
feet?
Answer:
10 minutes
Step-by-step explanation:
First, find how much higher the airplane has to travel:
35,000 - 30,000
= 5,000
To fine how long it will take, divide 5000 by 500
5000/500
= 10
So, it will take 10 minutes to get above 35,000 feet
Please help with this question
Answer:
hi Step-by-step explanation:April 12, 1861: Battle of Fort Sumter. ...
June 30, 1861: Battle of Philippi. ...
July 21, 1861: First Battle of Bull Run/First Battle of Manassas. ...
August 28-29, 1861: Battle of Hatteras Inlet Batteries. ...
October 21, 1861: Battle of Ball's Bluff. ...
November 7, 1861: Battle of Belmont. ...
January 19, 1862: Battle of Mill Springs.
I deposited $ 50,000.00 in Chase Bank at 4%. How long my money has to stay in the bank to double ?
whyu
Step-by-step explanation:
.whyww
please please please help me i will give you brainliest
Answer:
∠QPT=122°
Step-by-step explanation:
Angles along a straight line add up to 180. Therefore:
∠PRQ+∠PRS=180
∠PRQ+118=180
∠PRQ=180-118
∠PRQ=62°
All angles in a triangle add to 180. Therefore:
∠PQR+∠QPR+∠PRQ=180
60+∠QPR+62=180
∠QPR+122=180
∠QPR=58°
Angles along a straight line add to 180. Therefore:
∠QPT+∠QPR=180
∠QPT+58=180
∠QPT=122°
Solve this inequality. 8x + 6 < 54
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 6
Interval Notation:
( − ∞ , 6 )
Answer:
Inequality:8x+6<54
Do minus 6 on each side:8x<54
Now do divided by 8 on each side:x=6.75
Step-by-step explanation:
Find the missing side x=
Please help ASAP I will mark brainlist.
Answer:
Step-by-step explanation:
Solve the system by Graphing
Step-by-step explanation:
A bag contains 12 marbles: 3 red, 4 green, and 5 blue.
Suppose you draw two marbles from the bag, one at a time, without replacement.
What is the probability that the first marble is blue and the second marble is green?
Answer:
The probability is that the first marble is blue is 5/12 and the probability that the second marble is green is 4/11
Step-by-step explanation:
The four members of the Taylor family each buy an airplane ticket each member I had to pay an extra $30 fee for checking in luggage if the total cost of the trip is 540.50 what is the price of each plane ticket
Answer:
$105.13
Step-by-step explanation:
[540.50 - (4 x 30)]/4 = $105.125
Benny went to 36 baseball games this year he went to 40 games last year how many baseball games did Benny go to in total
Answer:
76
Step-by-step explanation:
36+40=76
Hope this helps!!
Answer:
76 games in total
Step-by-step explanation:
The skating rink charges $0.75 to rent skates and $1.25 per hour to skate. Which equation
can be used to find the number of hours (h) someone skated if he or she was charged
$4.50?
a) 0.75 + 1.25 = 4.50
b) h(0.75 + 1.25) = 4.50
c) 0.75 + 1.25h = 4.50
d) 0.75h + 1.25 = 4.50
Answer:
C.
It can be read as...
".75 was charged for skates, and 1.25 was charged per hour for a total of 4.50."
No other answer choice has this. A does not have the variable h, B includes .75 which is NOT charged per hour, as well as D.
I hope this helps you!
id really appreciate it if someone helped me , i’ll give you brainliest
Answer: it’s the same 110 degrees
Step-by-step explanation:
Answer: 110 is the correct answer
please answer it's easy
Answer:
did not see that coming
Step-by-step explanation:
Got rickrolled
if 400g is 1kg find the ratio in the simplest form
Answer:
2 : 5
Step-by-step explanation:
The quantities must have the same units of measure
400 g : 1 Kg
= 400 g : 1000 g ← divide both parts by 200
= 2 : 5
Verify a - (- b) = a + b for the following values of a and b.
() a = 23, b = 14
(ii) a = 128, b = 105
23 - (-14) = 23 + 14 = 37
128 - (-105) = 128 + 105 = 233
through: (5,-1) and (-3,-5)
Answer:
If you are trying to find slope the answer is 1/2
Step-by-step explanation:
I'm sorry if im wrong but thats if you're trying to find slope if you're not my bad.
WILL GIVE BRAINLIEST!!! The two larger segments below are perpendicular. Find the area of the shaded region to the nearest integer.
Answer:
I wont be able to help much and get you till all the way to the end but here is what i know:
Step-by-step explanation:
The radius of the smaller circle is 6, and the longer segment adds up to 12 since 6 + 6 = 12. the area of the whole bigger circle would be 452.389, by using the formula of the area of a circle "πr²". This is what i can tell and the only part I'm confused in how to find the area of JUST the shaded part. I hope this helped a bit!
Two consecutive integers have a product of 12. What is the initial equation that would be used
to solve this?
x² = 12
x(x + 1) = 12
2 (2+2) = 12
x(x − 2) = 12
Answer:
x(x+1) = 12
Step-by-step explanation:
If a number is x then it's consecutive number will be x + 1.
And their product x(x+1)
3. The rectangle below has an area of 297 in. Find the length of the diagonal.
14
27 in.
odhad.
9514 1404 393
Answer:
29.15 in
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
Filling in the given information, we can find the missing side length.
297 in² = (27 in)h
h = (297 in²)/(27 in) = 11 in
The length of the diagonal can be found from the Pythagorean theorem.
d² = 27² + 11² = 729 +121 = 850
d = √850 = 5√34 ≈ 29.15476
The length of the diagonal is about 29.15 inches.