On the first day of ticket sales the school sold 8 senior citizen tickets and 1 child ticket for a total of $97. The school took in $102 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answer:
A senior citizen ticket costs $11, and a child ticket costs $9.
Step-by-step explanation:
Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.
First day:
8s + c = 97
Second day:
6s + 4c = 102
We have a system of 2 equations in 2 unknowns.
8s + c = 97
6s + 4c = 102
We will use the addition method to solve the system.
Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.
-32s - 4c = -388
(+) 6s + 4c = 102
----------------------------
-26s = -286
Divide both sides by -26.
s = 11
Now substitute s with 11 in the first original equation and solve for c.
8s + c = 97
8(11) + c = 97
88 + c = 97
Subtract 88 from both sides.
c = 9
Answer: A senior citizen ticket costs $11, and a child ticket costs $9.
What is 234475 x 45678 =?
In a bag of marbles, 1/2 are red, 1/4 are blue, 1/6 are green and 1/12 are yellow. You pick a marble without looking. What color marble are MOST likely to be choose?
Answer:
Its red becasue 1/2 is greater than all of them
The most likely color of the marble that will be chosen is red.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Number of red marbles in the bag=1/2
Number of blue marbles in the bag=1/4
Number of green marbles in the bag=1/6
Number of yellow marbles in the bag=1/12
Now,
To determine the most likely color of the marble that will be chosen, we need to calculate the probability of selecting each color. The probability of selecting a red marble is 1/2, the probability of selecting a blue marble is 1/4, the probability of selecting a green marble is 1/6, and the probability of selecting a yellow marble is 1/12.
To compare the probabilities, we need to find a common denominator. The common denominator for 2, 4, 6, and 12 is 12. So, we can rewrite the probabilities as:
Probability of selecting a red marble = 6/12
Probability of selecting a blue marble = 3/12
Probability of selecting a green marble = 2/12
Probability of selecting a yellow marble = 1/12
Since the probability of selecting a red marble is the highest among all the colors, it is the most likely color to be chosen.
Therefore, by probability the answer will be red marble.
Learn more about probability here;
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Please help I needed it badly
Answer:
The answer is C trust me I did this
Uhhhh last question lol I have to match them
Answer:
7. is 5 - 35n
8. is -6x - 24
9. is 15m - 30
10. is 24p - 28
11. is 5b - 5
12. 5x + 45
RULE:
WHEN MULTIPLYING TWO NEGATIVES YOU WILL GET POSITIVE.
IF ONE IS NEGATIVE AND THE OTHER IS POSITIVE WHEN MULTIPLYING IT WILL BE NEGATIVE.
WHEN MULTIPLYING TWO POSITIVE NUMBERS IT WILL ALWAYS BE POSITIVE
SAME THING IF YOU MULTIPLY A POSITIVE NUMBER WITH A NEGATIVE NUMBER YOU GET A NEGATIVE AS YOUR ANSWER
YOU NEED ONE SIGN OF THE SAME WHEN MULTIPLYING TO BE A POSITIVE AS YOUR ANSWER
YOU NEED ONE SIGN TO BE DIFFERENT FROM THE OTHER WHEN MULTIPLYING TO GET A NEGATIVE AS YOUR ANSWER
I need Help with this
Fabiola's special seasoning mix has three ingredients. The recipe uses 4 parts thyme, 3 parts parsley, and 1 part green onion. If she is making 24 tbsp. of the mix, how many tbsp. of parsley does she need?
3
5
15
9
Answer: 9
Step-by-step explanation: First, you find how many parts are needed. 4+3+1=8
So, we then divide 24 by 8 to find out what one part is. This is 3
As she needs 3 parts of parsley, we multiply 3 by 3 (each part) to get 9 tbsp.
Fabiola's special seasoning mix of 24 tbsp. needs 9 tbsp. of parsley.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Fabiola's special seasoning mix has three ingredients. The recipe uses 4 parts thyme, 3 parts parsley, and 1 part green onion.
Let, 'x' be the ratio multiplier.
Therefore, 4x + 3x + x = 24.
8x = 24.
x = 3.
So, She needs 3×3 = 9 tbsp. of parsley.
learn more about numerical expressions here :
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Find the solution to the system by graphing
Answer:
y = -3x + 1 (Red line)
y = x - 7 (Blue line)
Use the fraction strips to compare 2/4 and 5/8
Answer:
Step-by-step explanation:
We are given 2 fractional numbers:
We have to use fraction strips to compare to the fractional numbers.
Let we are Comparing with the length of number of sections.
i.e.
Let we are Comparing with the length of number of sections.
i.e.
Now, let us have a look at 3rd part of question:
The sections of 2/4 is _____ the length of 5/8. Therefore, 2/4 < 5/8
Let the answer be .
So, the equation becomes:
So, the answers are:
2
5
Answer:
1) two
2)five
3)less than
4)<
Step-by-step explanation:
i took the test on iready :)
Lucky you it's sale time at Best Buy! This TV was originally $229 it's now on sale for 25% off. How much is the TV now?
Answer:
0.000725 i think :)
Step-by-step explanation:
Divide the number by 100 (move the decimal place two places to the left).
Multiply this new number by the percentage you want to take off.
Dane needs to cut 4 strips of border for his rectangular project board. The project board has a length of 12 1/2 inches and a width of 6 1/4 inches. How much border will Dane have left if the border comes in a 60-inch roll?
identify the percent of change as an increase or a decrease 3/8 to 7/8
Answer:
133.5
Step-by-step explanation:
the product of lisa and her twin brother is 36 and their sum is 36 how old can lisa be
Answer:
6 years old
Step-by-step explanation:
Since her twin brother is the same age as her, you are looking for two equal factors whose product is 36. The square root of 36 is 6, so the answer is they are both 6 years old.
Find the values of x and y in the equation below.
Answer:
6
18
not negatives!!!!!
Step-by-step explanation:
Write the equation of the line that passes through the points (-2, -8) and (8,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
slope is 0
y-(-8)=0(x-(-2))
y+8=0(x+2) no solution
Step-by-step explanation:
[tex]\frac{-8-(-8)}{8-(-2)} =0/10[/tex]
HELP ME ASAP PLZZ
Which table represents the function y = 3x – 1?
Input x 1 2 3
Output y 4 7 10
Input x 0 1 2
Output y -1 -2 -3
Input x 0 1 2
Output y -1 2 5
Input x 2 3 4
Output y 2 4 6
Answer:
Input x 0 1 2
Output y -1 2 5
Step-by-step explanation:
just plug in all the answers for x and solve the equation. like this:
y=3*0-1=
y=0-1=
y= -1
---------------------
y=3*1-1=
y=3-1=
y=2
--------------------------
y=3*2-1=
y=6-1=
y=5
------------------------
all the results match with the table
hope I helped God bless you
A quantity with an initial value of 380 decays exponentially at a rate of 1% every 4 hours. What is the value of the quantity after 174 minutes,
Answer:
377.24
Step-by-step explanation:
For each point on the unit circle, select the angle that corresponds to it.
Click each dot on the image to select an answer.
Answer:
A. ~30°
B. ~240°
C. ~330°
Step-by-step explanation:
Write an equivalent expression by distributing the "_" sign outside the parentheses-(6p-7.2)
A line has a slope of 5 and y-intercept of -2. What is its equation in slope-intercept from? Write your answer using interfere, proper fraction and improper fractions in simplest form.
Y=_x - _
Answer:
y=5x-2
Step-by-step explanation:
The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help
Answer:
Total income= $4,083.75
Step-by-step explanation:
First, we need to calculate the total number of people that enter the aquarium in the first two hours.
1st hour= 140
2nd hour= 140*1.25= 175
Total number of people= 315
Now, we can determine the total amount of money earned:
Each ticket cost 15.25.
Total income= 315*15.25
Total income= $4,083.75
what is the slope formula?
NEED HELP PLZ
Answer:
y = mx + b
Step-by-step explanation:
Answer:
slope formula is y=mx+b
Can one of y’all please help me this is Urgent
Answer:
B
Step-by-step explanation:
It’s the only one with sides that correlate
What is the value of the expression?
2 x[(-6 + 4) X (5 + 9) - 3]
Answer:
- 62
Step-by-step explanation:
Calculate the sums within the brackets first and then multiplication, as stated by the BOMDAS rule.
B = Brackets
O = ?
M = Multiplication
D = Division
A = Addition
S = Substitution
(- 6 + 4) = -2
(5 + 9) = 14
- 2 × 14 = -28
- 28 - 3 = - 31
2 × - 31 = - 62
Disclaimer: I am not sure if one of the x's is used as a variable or not
Gloria sells skateboards and charges a $15 shipping fee for each skateboard. She sold 14 skateboards last week and charged a total of $938. If Gloria charges the same amount for each skateboard, how much does she charge for one skateboard?
Answer:
She charges 52$
Step-by-step explanation:
what is the actual length?
Answer:
Step-by-step explanation:
2ft
need help fast only 14 mins left
Answer:
V = 49 m³
Step-by-step explanation:
Volume in November 2015 = 6287 m³
Volume in August 2015 = 6238 m³
We need to find the volume of water used between August and November. It can be calculated as follows :
V = 6287 m³ - 6238 m³
= 49 m³
So, the required volume is 49 m³.
Beginning with a regular hexagon, a 6-pointed star is formed by constructing equilateral triangles, whose sides are the same length as the sides of the hexagon, on each side of the hexagon as shown. One of the equilateral triangles is shaded. The shaded area is what fractional part of the entire area of the 6-pointed star? Express the answer as a fraction in simplest form.
Answer:
1/12
Step-by-step explanation:
Work out m and c for the line:
y = X – 2
You have $120. You spend 75% of your money. How much did u spend?
Answer:
$90
Step-by-step explanation:
$120 x .75 = $90
I’m confused on this
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
a = -3 , b = 2 , c = 5 & d = -4[tex] \underline{ \underline{ \text{To \: Find}}} : [/tex]
Value of the given expression : [tex] \tt{ \frac{a - 4b}{3c + 2d}} [/tex][tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Plug the known values and then simplify !
⤑ [tex] \tt{ \frac{ - 3 - 4 \times 2}{3 \times 5 + 2 \times ( - 4)}} [/tex]
⤑ [tex] \tt{ \frac{ - 3 - 8}{15 + ( - 8)}} [/tex]
⤑ [tex] \tt{ \frac{ - 11}{15 - 8}} [/tex]
⤑ [tex] \tt{ \frac{ - 11}{7}} [/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{ \frac{ - 11}{7}}}}}}}} [/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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