The cost of admission to a festival was $112 for 9 children and 3 adults. The admission was $108 for 8 children and 3 adults in another festival. How much was the admission for each child and adult?
Answer:
cost of admission for each child was $4.00, and each adult was $25.33
Step-by-step explanation:
When solving questions like these , I like to break down the problem so I understand it better.
Let x ---> cost of the admission for each child
Y ---------> cost of the admission for each adult
9x+3y = 112 ---> equation A
8x + 3y = 108 ---> equation B
Subtract B from A
9x+3y=112
-8x+3y = 108
x = 112-108
x = 4
Find value of y by substituting value of x into equation
9(4)+3y=112
Solve for y
36+3y = 112
3y = 112=36
3y = 76
y = 25.33
Am I right or wrong? If I'm wrong which is right?
Answer: The correct answer is (3x+1)(x-4)
Step-by-step explanation:
(3x+1)(x-4)
3x(x-4) + 1(x-4)
3x^2 - 12x + x-4
3x^2 - (12x + x)-4
3x^2 - 11 x - 4
What is the surface area of this square pyramid? ft^2 on ft
2 ft^2
.
4 ft^2
2 ft² .
2 ft^2
2 ft²
Answer all of the following questions. 3 Points a question. ALSO NO LINKS!
Is 2 a prime number?
Is 3 a prime number?
Is 11 a prime number?
Is 18 a prime number?
Is 20 a prime number?
Is 27 a prime number?
Answer:
no
yes
yes
no
no
yes
Step-by-step explanation:
a prime number cant be devided by any thing other than itself or one
Answer:
Step-by-step explanation:
Is 2 is 3 is 11 is 18 is 20 is 27
Solve for u
24 =y6
u-
Answer:
4
Step-by-step explanation:
=> 24 = y(6)
=> y = 24/6 = 4
how do you translate nine equals the quotient of a number and 54
Answer:
9 = [tex]\frac{n}{54}[/tex] or n ÷ 54
Step-by-step explanation:
nine equals the quotient of a number and 54
/\
9 = the quotient of a number and 54
/\
9 = will be division of a number and 54
/\
9 = [tex]\frac{n}{54}[/tex] or n ÷ 54
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
In the Diagram below DE≅AE ,BA∥CE
, CB∥DA
and m∠C=65∘
Find m∠BAE
Answer:
∠ DAE = 130°
Step-by-step explanation:
ABCD is a parallelogram ( opposite sides are parallel )
The opposite angles of a parallelogram are congruent , then
∠ BAD = ∠ BCD = 65°
∠ ADE = ∠ BAD = 65° ( alternate angles )
Since DE = AE then Δ ADE is isosceles with 2 base angles congruent, that is
∠ DAE = ∠ ADE = 65°
Then
∠ BAE = ∠ BAD + ∠ DAE = 65° + 65° = 130°
What is y= 3x +4 on a graph
y = 3x +4
3 is the slope. Rise 3 run 1 or up 3 right 1.
4 is the y-intercept
x=5 and y=7
9y+x= ?
i need help );
Answer:
Step-by-step explanation:
All we need to do is substitute the y and x. This would then look like:
9y + x =
9 × 7 + x =
9 × 7 + 5.
Can you solve it from here?
I don't understand this question, can someone help please?
Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (–12, –9). He writes the equation
7x – 10y = 3. Is this a good model? Explain your reasoning.
Answer:
No. Correct is 7x - 10y = 6.
Step-by-step explanation:
The slope of the line is (-9-5)/(-12-8) = 7/10
y - 5 = 7/10(x - 8)
10y - 50 = 7(x - 8)
10y - 50 = 7x - 56
7x - 10y = -50 + 56
7x - 10y = 6.
Explanation:
Let's plug in x = 8 and y = 5. This is directly from the ordered pair (8,5).
7x - 10y = 3
7*8 - 10*5 = 3
56 - 50 = 3
6 = 3
We get a false equation at the end, which means the original equation is false when (x,y) = (8,5). Therefore, the point (8,5) is not on the line 7x-10y = 3. Furthermore it means that 7x-10y = 3 is not a good model since Devon wanted the line to pass through both given points.
If you were to plug in (x,y) = (-12,-9), then you would find the same thing happens. For each ordered pair, the left side results in 6. So if Devon were to change that "3" to "6", then it would be a good model as both points would be on the line. In other words, the standard form equation Devon should use is 7x-10y = 6. When solving for y, Devon would get y = (-7/10)x - 3/5
Below is visual confirmation that 7x-10y = 3 is not a good model. Both points are not on the line. The graph was made using GeoGebra.
Today everything at a store is on sale the store offers a 20
% discount the regualr price of a t shirt is 18 what is the discount price
Answer:
$14.40 is the discount price.
Step-by-step explanation:
0.2 x 18 = 3.6
18 - 3.6 = 14.4
what’s the slope for this
Answer:
-2
Step-by-step explanation:
What is the justification for each step in the solution of the equation?
5x−42=2x−1
Answer:
39.6Step-by-step explanation:
collecting like terms we have:
5x-2x=-1+42
equating the terms..we have:
3x=41
divide both sides by the Co-efficient of x:
3x\3=42\3
x=39.6
Answer:
What is the justification for each step in the solution of the equation? 5x−4/2=2x−1 Select from the drop-down menus to correctly justify each step. 5x−42=2x−1 Given 5x−4=2(2x−1) Choose. 5x−4=4x−2 Choose. 5x=4x+2 Addition or Subtraction Property of Equality x=2 Choose. Options Addition or subtraction property of equality Multiplication or division property of equality Distributive property of.
__________________________________________________________
5x−4/2=2x−1
Select from the drop-down menus to correctly justify each step.
5x−42=2x−1 Given
5x−4=2(2x−1) Choose.
5x−4=4x−2 Choose.
5x=4x+2 Addition or Subtraction Property of Equality
x=2 Choose.
Options
Addition or subtraction property of equality
Multiplication or division property of equality
Distributive property of equality
Combine like terms
The “/” Is for a fraction
fill in the blank with the letter of the description that best matches the term for the verb porter, match the subject pronoun with the correct form of the verb. i'll mark Brainliest if the answers are correct.
A. portons
B. porte
C. portez
D. portes
E. portent
FILL IN THE BLANK
je ____
tu ____
nous ____
vous ____
ils ____
Step-by-step explanation:
je........porte
tu.......portes
nous.......portons
vous........portez
ils......portent
see question in attached photo.
Answer:
b = 2Step-by-step explanation:
We know that:
a/b + c/d = (ad + bc)/bdWe observe the denominator of the first expression is same as the product of the denominators of the second expression.
Compare the numerators and solve for b:
5(x - 1) - 4(x - b) = x + 35x - 5 - 4x + 4b = x + 3x - 5 + 4b = x + 34b - 5 = 34b = 8b = 2A delivery company's charge for an overnight package weighing in excess of one pound is given by the formula c= 2.53w + 15, 16
where w is the weight of package in pounds. Find the following.
A classroom has 12 girls for every 4 boys. What is the ratio of boys to total students?
Question 7 options:
4 : 16
12 : 4
4 : 12
12 : 16
Answer:
I don't understand please elaborate more your given question.
Step-by-step explanation:
A rectangle has an area of 140m2.
One of the sides is 10m in length.
Work out the perimeter of the rectangle.
i need help what is the answer
Jitters sells a 12-oz. cup of coffee for $2.70, and she sells a 20-oz. cup for $4.50. Which cup size is a better deal per ounce?
Answer: both are the same
Step-by-step explanation: since 2.70÷ 12= 0.225 and 4.50÷ 20= 0.225
baking recipe requires an oven of 380 °F. What is the temperature in degree Celsius? With solutions please
One batch of pink paint uses `2` cups of red paint and `7` cups of white paint. Mai made a large amount of the same color pink paint using `14` cups of red paint. .
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=14(1.21)^x
Answer:
r:its a growth by 51%
Step-by-step explanation:
np
Pls help.......
[tex]100 - j = j - 40[/tex]
100 - j = j - 40
100 + 40 = j + j
140 = 2j
140/2 = j
70 = j
_____
RainbowSalt2222 ☔
A car travels at a constant speed of 56 mph for 2 hours. How far does the car travel in this
time?
Find the exact circumference.
Answer:
25π
Step-by-step explanation:
C= πd
d=√(24²+7²)=√(576+49)=√625=25
C=25π
Answer:
Step-by-step explanation:
First off, divide 24 by 2 as that would give you the radius of the circle
24cm / 2cm = 12cm
Next, use the formula to calculate the circumference of a circle and plug in radius:
C = 2 x π x r
= 2 x π x 12cm
= 75.40cm is the circumference
evaluate the expression using the order of operations. show each step of work
Answer:
-73
Step-by-step explanation:
Here's the solving step
PLEASE HELP ME!!! jacky starts biking to meet up with her friend. she knows that if she bikes at a speed of 10 mph, she will be 3 minutes late. jacky also know that if she bikes at a speed of 12 mph, she will be there 2 minutes before they agree to meet. how much time does she have left before the appointed time?
Answer:
27s
Step-by-step explanation:
d = distance to rendezvous point in miles
t = time of arrival at 10mph, i.e. 3 mins later than appointed time
10 mph = 10 miles per hour = ¹/₆ miles per min
12 mph = ¹/₅ miles per min
t = d/(¹/₆)
t = 6d
5 min = ¹/₁₂ hr
t - ¹/₁₂ = d/(¹/₅)
t = 5d + ¹/₁₂
Elimination of t:
6d = 5d + ¹/₁₂
d = ¹/₁₂ mi
t = 6(¹/₁₂)
t = ¹/₂ min
Time left to appointed time = ¹/₂ - ³/₆₀
= ¹⁰/₂₀ - ¹/₂₀
= ⁹/₂₀.min → 27 seconds
Answer:
27 min
Step-by-step explanation:
rsm
what must be added to a^2+3/5a
Please help ASAP !!!
THANKS!!
Answer:
rotation
Step-by-step explanation:
Answer:
Reflection
Step-by-step explanation:
I think its reflection because if you reflect them across the y axis then the x axis I believe they will be in those positions.
