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.
3) FUNDRAISING At a fundraising event, $10 is donated for every mile ran.
Write a function to represent the situation.
*
A. O d=10m
B. O d=m+10
C. O d=10m + 10
D. O dem
10
Answer:
A
Step-by-step explanation:
if 3 miles for example were ran you would of course get $30 and the equation I used to figure that out was d=10(3) or with a variable d=10m
MATHHHH!!!! PLZZZZ!!! HELP!!!
The price of a skateboard was reduced from $150 to $90. By what percentage was the price of the skateboard reduced?
Answer:
40%
Step-by-step explanation:
Ignore the zeros, then think about the 15 ‘s multiplication table. Once you do, you will find that 90 is 15 times 6, which is 60%. And 100-60 is obviously 40. Hope this helps.
The percentage that was reduced from the original price is 40 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The original price of the skateboard = $ 150
The reduced price of the skateboard = $ 90
The difference between the original price and reduced price =
Original price of the skateboard - Reduced price of the skateboard
The difference between the original price and reduced price = 150 - 90
= $ 60
Let the percentage decrease be A
Now the equation will be
Original price of the skateboard - A % ( Original price of the skateboard ) =
Reduced price of the skateboard
So ,
150 - A/100 ( 150 ) = 90
Adding A/100 ( 150 ) on both sides , we get
A/100 ( 150 ) + 90 = 150
Subtracting 90 on both sides , we get
A/100 ( 150 ) = 60
Multiply by 100 on both sides , we get
150A = 6000
Divide by 150 on both sides , we get
A = 40 %
Hence , the percentage at which the price of the skateboard reduced is 40%
To learn more about percentage click :
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What is the value of 7 in 46.897
Answer:
7 thousandths
Step-by-step explanation:
ez dub
PLZ HELP, GIVING BRAINLIEST!!!
Use the graph to state the intervals of increase and decrease. (Check pic below to find the graph and answer choices)
Answer:
B
Step-by-step explanation:
Pretty much what the solution says. Increasing from -∞ to 0, then 2 to ∞. Decreasing between 0 and 2.
Hope this helps!
A sum of money is to be divided among Paul, John And Mary in the ratio 2:3:7 respectively. If Mary received $350 more than John. Determine to the nearest whole number, the total sum of money that was shared.
Answer:
$1050
Step-by-step explanation:
1=87.5
total is 12
A density curve for all the possible temperatures between 0 degrees F and 40 degrees F is a rectangle. What is the height of the rectangle in this density curve?
A. 0.025
B. 0.00025
C. 0.0025
D. 0.25
Answer:
Concept: Higher Level Mathematics
You have a density curve, aka probability You are asked to find the height Hence 0-40F has 40 total integers or values of X(probability) Hence you have a total Area of [tex] \binom{40}{0} [/tex]Integrate f(x) to get 0.025. Hence the answer is A Rate positively and give brainlistPercy has already walked 25 kilometers this week, plus he plans to walk 5 kilometers during
each trip to school. After 12 trips to school, how many kilometers will Percy have walked in
total?
Answer:
85
Step-by-step explanation:
He walked 25 already. So you have x=25. He walks 5 km during each trip. There are 12 trips. 5 times 12 is 60. x=25+60. So, 25 plus 60 is 85.
Draw the given figure's reflection image across line l. (look at the screenshot)
A.
B.
C.
D.
Answer:
B
Step-by-step explanation:
B is the right answer
Solve the inequality Graph the solution set 7 + 4k ≥ 23
Answer: k ≥ 4
Step-by-step explanation:
7 + 4k ≥ 23
subtract 7 on both sides
4k ≥ 16
divide by 4 on both sides
k ≥ 4
the graph:
A bakery made 140 buns. A restaurant bought 80 of the buns. The remaining buns were put into bags of 4 buns each. How many bags of buns
are there?
Answer:
A bakery made 140 buns. A restaurant bought 80 of the buns. The remaining buns were put into bags of 4 buns each. How many bags of buns
are there?
Answer:
30, 30 bags of buns your welcome
Find slop for each line
8x-4y=16
Answer:
y=2x-4
Step-by-step explanation:
slope=mx+b
8x-4y=16
-4y=-8x+16
-4y/-4=y
(-8x+16)/-4=2x-4
y=2x-4
Hope this helps! :)
El número misterioso: soy múltiplo de 3 y de 4 y estoy comprendido entre 30 y 99. El resto de mi división por 5 es 4. ¿Quién soy?
Answer:
84
Step-by-step explanation:
Let the number be x.
As the number is multiple of 3 and 4, so the number must be a multiple of the lowest common factor (LCM) of 3 and 4.
LCM(3,4)=12
So, the number, x, is a multiple of 12.
All the numbers between 30 and 99, which are multiples of 12 are 36, 48, 60, 72, 84, 96.
When x is divided by 5, the remainder is 4, so the unit digit of the number is 4.
Now, the number between 30 and 99, which is multiple of 12 and having the unit digit 4 is 84.
Hence, the required number is 84.
Can you write 10 2/3 as an improper fraction?
Answer:
10 2/3 is 32/3
Step-by-step explanation:
10*3=30
30+2=32
32/3
.
Step-by-step explanation:
10 2/3
add 10 + 2/3
continue
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
b
Step-by-step explanation:
Answer:
Based on that I would say b. By looking at the graph you can see the way the lines go across the graph.
Step-by-step explanation:
B.
Select all of the statements that are true for the given parabola.
Answer:
A and B are true
Step-by-step explanation:
The minimum is the turning point on the graph and occurs at (1, - 2)
The x- intercepts are where the graph crosses the x- axis , that is at
x = - 1 and x = 3 or in coordinate form (- 1, 0 ) and (3, 0 )
The equation of the axis of symmetry is a vertical line passing through (1, - 2)
with equation x = 1
The true statements are A and B
Answer:
⇨ A and B choice
Step-by-step explanation:
⟺ Consider all choices.
⥱ Choice A is correct because It's upward Parabola ( a > 0) where there is only the minimum point/value. The minimum point is at (1,-2). The vertex for upward parabola can be called the minimum point.
⥱ Choice B is correct because the Parabola intercepts x-axis at (-1,0) and (3,0) from the graph.
⥱ Choice C is wrong because the Axis of Symmetry is supposed to be x-term/value for the Parabola. If it is the y-value/term then it would be Side Parabola.
⥱ Choice D is wrong because an upward Parabola doesn't have the maximum point. The only Parabola with maximum point is downward Parabola ( a < 0)
Find the slope of the line through the points (-9, 19) and (-13, 11).
Answer:
slope is 2
Step-by-step explanation:
slope is m= y2-y1/x2-x1= 19-11/-9+13= 8/4=2
16. An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation. Find the altitude of the plane after 5 minutes
Answer:
equation: y=-2,000x+30,000
altitude after five minutes: 20,000
Step-by-step explanation:
y = altitude of the plane
x= slope (the plane descends -2000 feet per min, so the slope is -2000)
the y-intercept is 30,000 as the plane begins at 30000 feet above ground
Randall graphed the equation y=-2x+3 as follows:
Did Randall correctly graph the equation?
A. Yes he correctly graphed the equation B. No he graphed the line with a slope of 2 instead of -2 C. No, Randall graphed the line with a slope of -1/2 instead of -2 D. No, Randall graphed an x-intercept of (3,0) instead of y-intercept (0,3)
Answer:
C.
Step-by-step explanation:
Hope I could help :)))
HELP FAST !!! WILL GIVE BRAINLIEST!!
Answer:
56 degrees
Step-by-step explanation:
Coz they're corresponding angles
Whats 5+5+5+5+5+5+5+5+5+5+5+5+10+10+10+10
Answer:
100
Step-by-step explanation:
There are 12 5s.
12*5= 60
There are 4 10s.
10*4 = 40
60 + 40 = 100
Answer:
ANS 100
Step-by-step explanation:
THERE ARE 12 TIME 5 AND 4 TIME 10 SO THE ANSWER IS 100
Help ASAP. Solve both
Step-by-step explanation:
question 15
For y to be parallel to z the sum of given angles must be equal to 180°
3x + 7 + 10x - 22 = 180° add like terms
13x - 15 = 180 add 15 to both sides
13x = 195 divide both sides by 13
x = 15
question 16
If y is parallel to z then the given angles are alternate exterior and has same measurement
11x - 3 = 4x + 39
11x - 4x = 39 + 3
7x = 42 divide both sides by 7
x = 6
Luna Park in Coney Island charges $12 for entry and $2 per ride. Ariana visits the park and goes on 4 rides. How much money did she spend in total?
8a x 2b ÷ 4c =
(I don't get it)
Answer:
The solution of the given equation is not possible. Because different variables never multiply or divide
Treys gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Treys tank hold?
Answer:
Goran's gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Goran's tank hold?"
Let x = gallons to fill the tank
14
multiply by 12
12*3%2F4x = 12*1%2F6x + 12(14)
3(3x) = 2x + 168
9x - 2x = 168
7x = 168
x = 168/7
x = 24 gallons
:
see if that is true
1%2F6*24 + 14 = 18 gallons which is 18/24 = 3/4 of the tank
PLEASE HELP PIC DOWN BELOW 8th GRADE MATH
Answer:
A) 1/5 * 10
Step-by-step explanation:
1/5 / 1/10 = Time it will take to fill up
=> 1/5 * 10 = Time it will take to fill up
=> 1*2 = Time it will take to fill up
=> 2 = Time it will take to fill up
If my answer helped, kindly mark me as the brainliest!!
Thanks !!
Original price: $80; Markdown: 36%
Answer:
$51.20
Step-by-step explanation:
36% of 80 is 28.8
80 - 28.8 = 51.2
Formatted properly, the answer is $51.20
Answer:
$51.20Step-by-step explanation:
The answer is $51.20!
Hope this helps!
write a statement that indicates that the triangles in each pair are congruent
what is the value of x? enter your answer in the box
Answer:
x=7
Step-by-step explanation:
6x6=36
6x7=42
Sides of the right triangle are 6x bigger
help me out please :(
Answer:
45 ft i think im not sure sorry if im wrong
Step-by-step explanation: