Given:
The total admission price for a group of 4 adults and 10 children is $57.
The total admission price for a group of 3 adults and 7 children is $41.
To find:
The admission prices for an adult and for a children.
Solution:
Let the price of an adult be x and price of children be y.
According to the question,
[tex]4x+10y=57[/tex] ...(i)
[tex]3x+7y=41[/tex] ...(ii)
Multiply equation (i) by 3.
[tex]12x+30y=171[/tex] ...(iii)
Multiply equation (i) by 4.
[tex]12x+28y=164[/tex] ...(iv)
Subtract (iv) from (iii).
[tex]12x+30y-12x-28y=171-164[/tex]
[tex]2y=7[/tex]
Divide both sides by 2.
[tex]y=3.5[/tex]
Put y=3.5 in (i).
[tex]4x+10(3.5)=57[/tex]
[tex]4x+35=57[/tex]
[tex]4x=57-35[/tex]
[tex]4x=22[/tex]
Divide both sides by 4.
[tex]x=5.5[/tex]
Therefore, the price for an adult is $5.5 and price for a child is $3.5.
You spend $39.48 at At the start of the summer, you have $603.15 in the bank. You make deposits of $90.89 in June, $106.03 in July, and $70.04 in August. At the end of the summer, how much money do you have in the bank? the store. You pay at $50.00. What is your change
Answer:
820.11
Step-by-step explanation:
-39.48
603.15+90.89=694.04
694.04+106.03=800.07
800.07+70.04+870.11
870.11-50.00=820.1
Please I beg you help me I will mark you brainliest
Answer:
Best answer would be D
Step-by-step explanation:
For A, the statement is only true with x as 1
For B, other values for x can make the equation wrong
And for C, it's just wrong.
Rose plz. give me chance to explain
Answer:
who is Rose
Step-by-step explanation:
HELP!! (Picture included)
Answer:
Wednesday
Step-by-step explanation:
Monday- ~5.6 as a decimal
Tuesday- 5.625 as a decimal
Wednesday- 5.375 as a decimal
Thursday- 5.8 as a decimal
therefore, Mrs.Mayes worked the least on Wednesday. Also she needs some break
Answer:
Wednesday
Step-by-step explanation:
For each of the fractions you can put them into decimals. Wednesday had the lowest decimal at 5.37
Giving 40 points PLEASE help ASAP The ratio of the number of teachers to students in a school is 3:35. The ratio of male students to the number of female
students is 2:5. There are 500 female students. How many teachers are there?
In the box, type the answer and tell how you found it. You may also do your work on a separate sheet of paper and upload it
in the box below.
Answer: 500 female students. 2:5 ratio for males means 200 male students. 500 female plus 200 male equals 700 students total. There are three teachers for every 35 students, so 700/35 multiplied by three equals 60 teachers.
Find the area of the trapezoid. Please help!
Answer:
Area = 1/2 (a + b )h
area = 1/2 ( 22.2 + 8.52 ) 9.86
area = 1/2 ( 30.72) 9.86
area = 1 x 30.72 x 9.86 ÷ 2
area = 151. 4496cm²
Answer:
The area of the trapezoid is 151.45cm sq
Helppppppppp!!
A bird goes from a lower location to a higher location at a
rate of 2 meters per second. Which equation models the change in the bird's position at 90 seconds?
A. 90.2 = 180
B. 90(-2) = -180
C. (-90)(-2) = -180
D. 90(-2) = 180
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
It is proven mathematically
lisa sets a weekly goal of jogging 18 miles. after 3 days she has jogged 6 5/8 miles. How many more miles must she jog to reach her goal ?
choices:
11 5/8
12 3/8
11 3/8
12 5/8
PLEASSE HELP BFKDEK
Answer: 11 3/8
18 - 6 5/8 = 11 3/8
triangle pqr is an iscosceles triangle with the coordinates p(2,3), q(5,10), and r(8,3). what is the area of triangle pqr ?
Answer:
idek
Step-by-step explanation:
Find the percent change from 75 to 24.
212.5%
The percentage increase from 24 to 75 is 212.5%.
Help????? Pls?????????
Answer:
20 men in the dance recital.
Step-by-step explanation:
tt
Marcy purchases a total of 12 adult, child, and senior tickets for an art museum tour. Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. If she purchases 4 more child tickets than senior tickets and spends a total of $38, which statement is true?
The solution to this system is no viable because it results in fractional values of tickets.
The solution to this system is viable.
The solution to this system is nonviable because it results in negative values of tickets.
The solution to this system is no viable because it results in fractional values of money.
Answer:
A: The solution to this system is no viable because it results in fractional values of tickets
Step-by-step explanation:
Let number of adult, child, and senior tickets be x, y and z respectively.
Thus;
x + y + z = 12 - - - (eq 1)
she purchases 4 more child tickets than senior tickets.
Thus, y = z + 4
Thus:
x + (z + 4) + z = 12
x + 2z + 4 = 12
x + 2z = 8 - - - (eq 2)
Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,
Thus;
5x + 2(z + 4) + 4z = 38
5x + 2z + 8 + 4z = 38
5x + 6z + 8 = 38
5x + 6z = 38 - 8
5x + 6z = 30
Divide through by 5 to get;
x + (6/5)z = 6 - - - (eq 3)
Subtract eq 2 from eq 1 to get;
2z - (6/5)z = 8 - 6
2z - (6/5)z = 2
Multiply through by 5 to get;
10z - 6z = 10
4z = 10
z = 2½
It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.
please answer this question
Answer:
D. 1,300
Step-by-step explanation:
There are 4 nickels and 4 dimes in your pocket.You randomly pick a coin out of your pocket and placed it on a counter. Then you randomly pick another coin. The first coin is a nickel and the second coin is a dime. What is the probability
Answer:
The probability of picking a nickel or a dime is 25%
Step-by-step explanation:
Since we have the same amount of nickels and dimes we can cancel them out. That would make it a 50% chance to get one or the other, or, a 1&1 chance, but since there is 8 coins all together there is a chance to pull out 2 nickels or 2 dimes. 4 possibilities.
1. 1 nickel 1 dime
2. 2 dimes
3. 2 nickels
4. 1 dime 1 nickel
4 x 25% = 100%
each possibility has a 25% chance to happen
double checking
i think a and h but not sure
Answer:
C and G
Step-by-step explanation:
You have two lines intersected by a transversal. The transversal is labeled t. The other two lines are "the two lines".
Corresponding angles must be both on the same side of the transversal and they must be either both above the two lines or both below the two lines.
All 4 pairs of corresponding angles in this figure are listed below:
a, e
c, g
b, f
d, h
The only one of those pairs in the choices is c, g
Answer: C and G
14 POINTS PLEASE HELP !!
The model represents a polynomial of the form ax^2 + box + c
which equation is represented in the model?
- 3x^2 - 4x - 1 = (3x + 1) (x -1)
- 3x^2 - 2x - 1 = (3x - 1 ) ( x - 1 )
- 3x^2 - 4x + 1 = (3x - 1 ) (x - 1 )
- 3x^2 - 2x + 1 = (3x - 1 ) (x - 1 )
Answer: C
Step-by-step explanation:
i just know
3v - 10 = -14 what is the answer
Answer:
v= -3/4
Step-by-step explanation:
i think that's the answer djxndnxnnx
Answer:
3v=-14 +10
3v=-4
v= - 4/3
Please mark as brainliest
Please help.
write a compound inequality that represents the fahrenheit temperatures between 50 degrees celsius and 70 degrees celsius.
test corrections....
b
-
27 =43
I would really appreciate your help
Answer:
B = 70
Step-by-step explanation:
Answer:70
Step-by-step explanation:
Twenty (20) is what percent of 10% of 4,000?
Answer:
400
Step-by-step explanation:
Answer:
5%
Step-by-step explanation:
Which of the following graphs represents a relation that is not a function?
Answer:
Even though you only uploader one pic I think that is the answer
Because that is a Zero slope wich means it has no function that would be the anser
Step-by-step explanation:
thank you for your help :) really appreciate! Here’s the new one
Answer:
8 units
Step-by-step explanation:
The two squares have equal areas.
For each square:
area = 32 units^2
For a square:
area = side^2
side^2 = 32
side = sqrt(32)
For the two squares, the length of the side is sqrt(32).
The sides of the squares are the legs of the right triangle.
a^2 + b^2 = c^2
(sqrt(32))^2 + (sqrt(32))^2 = x^2
32 + 32 = x^2
x^2 = 64
x = 8
Answer: 8 units
Answer
8 units
Explanation
The side of one of the squares is the same length as one of the legs on the triangle.
To find one side of the square, you need to find the square root, because to find the area of a square, you need to square the sides. To find one side, you do the opposite.
So the length of one side is the square root of 32.
Now don't worry that this is a weird number (which is 5.656854249...) because we'll be squaring it again.
The length of one side of the square is the leg of a right triangle.
To find the hypotenuse (or the longest side), you need to use the Pythagorean theorem.
[tex]l^{2} + l^{2} = h^{2}[/tex]
The square root of 32 squared is 32.
[tex]32+32=h^{2}[/tex]
[tex]64=h^{2}[/tex]
To find h, you need to find the square root. The square root of 64 is 8.
Therefore, the length of x is 8 units.
Kiesha and her classmates wrote proportions for the reduction of a triangle.
A larger and smaller triangle have corresponding heights and bases.
Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Answer: A, B, and D are correct!
Step-by-step explanation:
Hope this helps! :)
The three proportions that are set up correctly for the reduction of a triangle are:
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Options 1, 2, and 3 are correct.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The three proportions that are set up correctly for the reduction of a triangle are:
1)
original height / original base = reduction height / reduction base
This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.
2)
original height / reduction height = original base / reduction base
This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.
3)
original height / reduction base = reduction height / original base
This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.
Thus,
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Learn more about triangles here:
https://brainly.com/question/25950519
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2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday
number of packs sold of black, red and green pens = 7 : 3 : 4
A total of 212 were sold.
work out the number of green pen solds
Answer:
24
Step-by-step explanation:
Put aside all of the other numbers and just focus on the amount of green pens in one pack and how many packs there are. Multiply those two numbers (6×4) to get 24. Hope this helped <3
What is the value of the expression: (-3) (- 1) (-2)= __________
A. – 8 B. – 17 C. 17 D. 8
Answer:
Use BODMAS and multiply the signs - ve × -ve equals +ve multiplied by another - ve is a - ve sign then multiply the figures and then multiply the final figure to the final - ve sign.
Thank you. Hope I was of help.
help lol! the explanation is on the bottom!!
Answer:
1 =80
2 =100
3 =80
4 =100
6 = 100
7 =80
8 =100
Step-by-step explanation: since 5 and 7 are the same, if u slide the bottom up to the top, 1 and 3 would be the same as 5 and 7
2,4,6,and 8 are 180-80 which equals 100
Answer:
1, 3, 5, 7 = 80°
2, 4, 6, 8 = 100°
Step-by-step explanation:
1, 3, 5, and 7 are congruent to each other
2, 4, 6 and 8 are congruent to each other
1 + 2 + 3 + 4 = 360°
80° + x + 80° + x = 360°
160° + 2x = 360°
2x = 360° - 160°
2x/2 = 200°
x = 100°
Select the correct answer.
What is the simplest form of the ratio 40:16?
ОА.
20:8
OB.
10:4
OC.
5:4
OD
5:2
OE.
10:8
Answer:
D: 5:2
Step-by-step explanation:
40:16 simplified is 5:2
The simplest form of the ratio 40:16 is 5:2.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
To find the simplest form of the ratio 40:16, we can divide both terms by their greatest common factor (GCF).
First, let's find the GCF of 40 and 16.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
The factors of 16 are 1, 2, 4, 8, and 16.
The largest number that appears in both lists is 8.
Therefore, the GCF of 40 and 16 is 8.
To simplify the ratio, we divide both terms by 8:
40 ÷ 8 = 5
16 ÷ 8 = 2
Thus,
The simplest form of the ratio 40:16 is 5:2.
Learn more about ratios here:
https://brainly.com/question/2462048
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Help appreciated, thanks so much!
Answer:
r= -6
Step-by-step explanation:
I need help please!!!!