Answer: a) Cost(x) = $9.50 + $15*x
b) $84.50
Step-by-step explanation:
a) If x is the number of members in the family, we can model this situation with a linear equation, where x is the variable.
We have:
A fixed $9.50 (this does not depend on the number of members in the family)
and $15 for each member, so the equation that represents this is:
Cost(x) = $9.50 + $15*x
b) now we have x = 5, then:
Cost(5) = $9.50 + $15*5 = $84.50
Answer:
a. y = 9.50 + 15a
b. total cost(y) = 84.5
Step-by-step explanation:
Brandon decided to take his family to a water park to celebrate the end of the school year.
The cost for parking is $ 9.50 which is a flat rate and compulsory rate for parked cars. The cost for each person is $15 .
a. The linear equation can be expressed below. The variable required in the linear equation will be the number of people that entered the water park(a) and the total cost (y)
let
a = number of person for the entire day
total cost = y
y = 9.50 + 15a
b. To find the cost for a whole family of 5 member can be calculated below.
Using the linear equation
total cost = 9.50 + 15a
total cost = 9.50 + 15(5)
total cost = 9.50 + 75
total cost(y)= 84.5
what is -5xy and 8yx combined
Answer:
3xy
Step-by-step explanation:
If your phone battery goes down by 4.58% every 10 minutes, how much has it gone down in 50 minutes?
Answer as a decimal. Round to the nearest 100th.
Answer:
22.9
Step-by-step explanation:
4.58 drops every 10 minutes
What would happen if it dropped 50 minutes
4.58x5 = 22.9
Answer:
22.9
Step-by-step explanation:
4.58x5 = 22.9
The question is stated below in the png! Thank you!
Answer:
$35.25
Step-by-step explanation:
First, we subtract the 42.30 and 28.20 to get 14.1
Then, we find half of that 7.05
Then, we know that it goes up by 7.05 each hour
so add 7.05 to 28.20
35.25
Enter 52.16 in expanded form.
Answer:
50 + 2 + 0.1 + 0.06
See the screenshot below
2×2+3÷3=7÷3=2.333333=2.3
Wat is the product of 8/9 and 2/7
Answer:
16/63
Step-by-step explanation:
Given problem,
→ (8/9) × (2/7)
Let's solve the problem,
→ (8/9) × (2/7)
→ (8 × 2)/(9 × 7)
→ 16/63
Hence, answer is 16/63.
Can someone pls help asap
Answer:
b complementary angle
b
Which inequality is satisfied by all the x-values below?
x = {0, 1, 3}
Answer:
A
Step-by-step explanation:
6x+11<29
6x<29-11
6x<18
x<3
Easy math question, earn points! Quickest answer gets points.
Step-by-step explanation:
an = 3* (sqrt 2)^(n-1) = 192 solve for n
sqrt(2)^(n-1) = 64
n-1 = log 64 / log (sqrt 2) = 12
n = 13
Given: ABCD is a trapezoid.
Put a checkmark in every box that must be
true. You will put more than one checkmark.
Has two pairs of parallel sides
Has exactly one pair of parallel sides
All four sides are congruent
Has exactly one pair of congruent sides
Both pairs of opposite sides are congruent
Two pairs of consecutive sides
(but not all four sides) are congruent
There are right angles at all four vertices
The diagonals are perpendicular
The diagonals are congruent
The diagonals bisect each other
Answer:
Choices: 2, 4, 8, 9
Step-by-step explanation:
The Opposite sides of a Trapezioid are congruent
The bases form parallel sides
The diagonals of a trapezoid bisect each other AND are congruent
Hope this helps! So sorry if its wrong
1 – 7k + 3k 2 + 10k + 7 – 5k 2
What are the variables?
How many terms?
What are the coefficients?
What are the constants?
What are the like terms?
PLEASE HELP IF YOU GET IT RIGHT ILL GIVE YOU BRAINLIEST
1) The variables are "k"
2) There are 4 terms
3) The coefficients are k
4) The constants are -7, 3, 10, -5
5) The like terms is -7k, 3k, 10k, -5k
The answers are pretty direct but, hope this answers your question.
Have a great day/night!
A carnival has a duck-pond booth. You choose a rubber duck at random. The mark on the bottom of the duck tells you whether you won a small, medium, or large prize, or no prize at all. There are 73 ducks floating in the pond. There are 5 ducks marked as large-prize winners, 11 ducks marked as medium-prize winners, and 24 ducks marked as small-prize winners. Find the theoretical probability of winning a medium prize at the duck pond. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
Let's break down this problem step by step.
First, let's understand what's happening here. There's a carnival game where you can pick one duck from a pond. Each duck has a mark under it that might make you a winner of a prize. Some ducks are marked with large prizes, some with medium, some with small, and the rest don't win you any prize.
The total number of ducks in the pond is 73.
Out of these 73 ducks:
- 5 are marked for a large prize,
- 11 are marked for a medium prize,
- 24 are marked for a small prize.
We are asked to find the theoretical probability of picking a duck that has a medium prize mark. The theoretical probability is basically a fraction that compares the number of ways something can happen with the total number of outcomes.
Here, the number of ways you can win a medium prize is equal to the number of ducks that have a medium prize mark, which is 11.
The total number of outcomes is just the total number of ducks you can choose from, which is 73.
The probability (P) of winning a medium prize is then:
P(medium prize) = (Number of medium-prize ducks) / (Total number of ducks)
= 11/73
To convert this fraction to a decimal, simply divide 11 by 73:
= 11 ÷ 73
≈ 0.1507 (rounded to the nearest thousandth)
So, the probability of winning a medium prize at the duck pond is about 0.151 or 15.1%. Imagine, for every 100 ducks you pick (if there were that many), about 15 of them would win you a medium prize.
The theoretical probability of winning a medium prize at the duck pond is ≈ 0.150
To find the theoretical probability of winning a medium prize at the duck pond, we need to determine the ratio of the number of medium-prize-winning ducks to the total number of ducks in the pond.
The total number of ducks in the pond is given as 73.
The number of medium-prize-winning ducks is given as 11.
Therefore, the probability can be calculated as follows:
Probability of winning a medium prize = (Number of medium-prize-winning ducks) / (Total number of ducks)
Probability of winning a medium prize = 11 / 73
To express the answer as a decimal, we divide 11 by 73:
Probability of winning a medium prize ≈ 0.150
Rounded to the nearest thousandth, the theoretical probability of winning a medium prize at the duck pond is approximately 0.150
To better understand how to find theoretical probability of winning medium prize at the duck pond:
https://brainly.com/question/1369541
Original number of students: 56
New number of students: 77
Find the percent of change. Round your answer to the nearest tenth of a percent, if necessary.
Answer:Therefore, the percent change from 56 to 77 students is 37.5%.
Step-by-step explanation:
students, we can use the following formula:
percent change = ((new number - old number) / old number) x 100%
Plugging in the values given in the problem, we get:
percent change = ((77 - 56) / 56) x 100%
percent change = (21 / 56) x 100%
percent change = 0.375 x 100%
percent change = 37.5%
Therefore, the percent change from 56 to 77 students is 37.5%.
Answer: 37.5%
Step-by-step explanation:
Work out the size of angle m.
Answer:
78+25+61+55+64=283
360-283=77
180+77=257
Please help quick! this is my second to last question!
Answer:
1.) 17
2.) -6
3.) 6
4.) 14
5.) -13
Step-by-step explanation:
1. 2x8+1= 17
2. 10 - (4x4)= 10-16= -6
3. (10/5) + 4 = 2+4= 6
4. (-6 x 1/3) + 16= -2 + 16= 14
5. (8 x -1) - 5= -8 - 5= -13
1.) 17
2.) -6
3.) 6
4.) 14
5.) -13
Two years ago at Mercedes-Benz Stadium in Atlanta, 71,000 people watched the Rams and the patriots play the super bowl. Out of the 71,000 people who attended the game, 34% were Rams Fans 42.5% were Patriots fans, the rest were fans of other teams. Part A: How many people at the game were Rams fans? Part B: How many people at the game were fans of other teams?
Answer:
Part A:24140 PartB: 16865
Step-by-step explanation:
multiply the total number of people by the decimal form of the percentage (move decimal left two places)
71000*.34=24140
71000*.425=30175
then to find the other number you must add the two before then subtract from the total
24140+30175=54135
71000-54135=16865
what does 8 - d stand for as in, 8 less than d, or d less than 8
Answer:
it means d is less than 8.
Step-by-step explanation:
Answer:
d is less than 8
Step-by-step explanation:
A glide reflection is a transformation that is made up of a translation and a reflection across a line the is parallel to the direction of the translation.
Part A. Graph triangle DEF with vertices D(1,-1) E(7,-3) F(2,-7)
Part B. Graph triangle DEF under a glide reflection where the translation is (x,y) —> (x, y+8). Give the coordinates of the vertices of the image.
Part C. Are the two figures congruent?
Answer:
Option D is correct.
Step-by-step explanation:
From the given figure,
Labelled the black triangle as A, B and C
The coordinates of triangle ABC are;
A= (2,8) , B= (2,5) and C=(6,5)
To find the glide reflection image of the triangle ABC.
Glide Reflection: It is a composition of transformations.
In glide reflection, a translation is first performed on the figure then it is reflected over a line.
Given: The rule of translation is: and line of reflection is x= 1.
Now, apply the rule of translation on black triangle, we get;
= A' (2,1)
=B' (2,-2)
= C' (6,-2)
Next,
Apply the rule of reflection over the line x =1,
i.e,
=A" (0,1)
=B" (0,-2) and
=C" (-4,-2)
You can see the graph of Glide reflection as shown below in the attachment.
Write an equation of the line that passes through the y intercept (0,4) and has a slope of -3
Answer:
y = -3x + 4
Step-by-step explanation:
We'll write the equation in slope-intercept form, which looks like this: y = mx + b. m is the slope, and b is the y-intercept.
In the information given, we know that the slope (m) is -3 and the y-intercept (b) is (0, 4). So, we can say that the equation for this line is y = -3x + 4.
Let me know if you need any more help!
The travel time it takes elevator A to reach height in meters is 0.8h+16 seconds. The travel time it takes elevator B to reach height in meters is -0.8h+12 seconds.If the two elevators travel towards one another, at what height do they pass each other?
Answer:
need these sorry
Step-by-step explanation:
sorry
find the area of this shape
Answer:
area of large triangle=1/2× 14×9=63
area of small triangle=1/2×4××14=28
total area=63+28=91
Find the original price given a total amount of $26.98 and tip rate of 14%.
(if you can, please show work! Thanks so much!)
Please help me with this question my sister needs help and I'm to busy
Answer:
4
Step-by-step explanation:
When trying to determine slope from a graph, it is useful to choose points on the graph where the line crosses grid intersections. For this graph, two such points are ...
(x, y) = (40, 10) and (50, 50)
The "rise" between these two points is the difference of their y-coordinates: 50 -10 = 40.
The "run" between these two points is the difference of their x-coordinates: 50 -40 = 10
The slope of the line is the ratio of "rise" to "run":
m = rise/run = 40/10 = 4
The slope of the line is 4.
__
Additional comment
This graph has scales that are 10 units between grid lines in both the x- and y-directions. This means you can also find the slope by counting grid squares. The points above differ by 4 grid squares in the vertical direction, and 1 grid square in the horizontal direction. Using grid square counts instead of coordinate value differences, we have ...
m = rise/run = 4/1 = 4
A bee flies 6 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 minutes, and then flies directly back to the hive at 4 feet per second. It is away from the hive for a total of 19 minutes. A. what equation can you use to find the distance of the flowerbed from the hive? B. How far is the flowerbed from the hive? Let d be the distance of the flowerbed from the hive.
Answer:
5 minutes
Step-by-step explanation:
d / r = t
The bee is flying for 19 - 14 minutes
(d / 6) + d / 4) = 5
Answer: 25 feet
Step-by-step explanation:
19 - 14 = 5
total travel time = 5 min
av. between 6 and 4
= 6+4÷2 = 5
5 feet per sec × 5 min = 25 feet
A cyclist rides a bike
18
miles in
3
hours. If riding at a constant rate, how far can the cyclist ride in
1
hour?
Answer:
6 miles in one hour
Step-by-step explanation:
Answer:6 miles an hour
Step-by-step explanation:
Help me please ASAP thank you youuuuu
ASAP
The Pizza Shack charges $8 for each pizza. No matter how many pizzas you order, they charge $5 for delivery. Using p for the number of pizzas, what is an expression for the cost to have pizzas delivered to your home?
Answer:
cost = 8p + 5
Step-by-step explanation:
$8*[number of pizzas] + $5 delivery fee
$8p + $5
8p + 5
cost = 8p + 5
Answer:
8p + 5
Step-by-step explanation:
$8 + $5 delivery fee
$8p + $5
Cost = $8p + $5
What is the estimate for 2.03+7.89 when added together
What is the ESTIMATE
Thanks
Answer:
about 10 but exact is 9.92
Step-by-step explanation:
I NEED HELP PLEASE
what information can you learn from a box plot graph? be sure to explain each part of this type of graph and the information you can obtain about the data in the graph?
Answer:
Box plot graphs tell you about your outliers and what their values are.
Carrie drew a scaled drawing of her fish tank below.
If her fish tank is similar to Pete’s, which of the following could represent a scaled drawing of Pete’s fish tank?