After calculating the total costs for each vacation option and subtracting these from the total savings, the money left for each family member to spend on souvenirs and other expenses is: $497.50 for the cruise, $494.50 for the island getaway, and $437 for the amusement park trip.
Explanation:To determine the amount of money each family member will receive to spend on each vacation option, we need to calculate the total cost of each option and subtract that from the total savings, then divide the remainder by four (the number of family members).
Option 1Total cost of cruise = (4 × $564) for tickets + $182 for expenses = $2,438.
Each family member will receive ($4,428 - $2,438) ÷ 4 = $497.50 to spend.
Option 2Total cost of flying to an island = (4 × $593) for tickets + $78 for expenses = $2,450.
Each family member will receive ($4,428 - $2,450) ÷ 4 = $494.50 to spend.
Option 3Total cost of amusement park trip = (4 × $287) for tickets + $856 for hotel + $422 for food and travel = $2,680.
Each family member will receive ($4,428 - $2,680) ÷ 4 = $437 to spend.
Simplify the expression
ms nickel has a jar of candy on her desk.jessica thinks there are 3,498 piece of candy in the jar there are actually 4,182 pieces.what is the difference between jessica's guess and the actual number of pieces of candy?
Identify any solutions to the system given below.
2x + y = 5
3y = 15 – 6x
A(6, –7)
B(2, 1)
C(–2, –9)
D(–4, 13)
Answer: The system of equations have many solutions and the correct options are A,B and D.
Explanation:
The given equations are,
[tex]2x+y=5[/tex] ..... (1)
[tex]3y=15-6x[/tex] .... (2)
Simplify the second equation.
[tex]3y+6x=15[/tex]
[tex]3(y+2x)=15[/tex]
Divide both sides by 3.
[tex]2x+y=5[/tex]
It is same as equation (1). Since equation (1) and (2) are same, therefore all the points lies on the line or which satisfies the equation are the solution of the given system of equations.
Test the points whether the point lies on the line or not.
Check for point A(6,-7).
[tex]2(6)+(-7)=5[/tex]
[tex]5=5[/tex]
LHS and RHS are equal, therefore the point A is the solution of the system of equations.
Check for point B(2,1).
[tex]2(2)+(1)=5[/tex]
[tex]5=5[/tex]
LHS and RHS are equal, therefore the point B is the solution of the system of equations.
Check for point C(-2,-9).
[tex]2(-2)+(-9)=5[/tex]
[tex]-13=5[/tex]
LHS and RHS are not equal, therefore the point C is not the solution of the system of equations.
Check for point D(-4,13).
[tex]2(-4)+(13)=5[/tex]
[tex]5=5[/tex]
LHS and RHS are equal, therefore the point D is the solution of the system of equations.
Therefore the options A,B and D are correct.
The points (6, –7), (2, 1), and (–4, 13) satisfies the equation and hence, will be the solution of the equation. The correct solution for this system is A, B, and D.
Given:
The given system of linear equations is,
[tex]2x + y = 5\\3y = 15 - 6x[/tex]
Equate the y coefficient of the equations and write them as,
[tex]6x + 3y = 15\\6x+3y = 15[/tex]
The given system of equation is the same equation and hence, will have infinite solutions.
Now, the solution of equation from the given options can be found by putting each point in the equation and checking for its satisfaction of the equation.
So, try All the points given. Point A(6,-7) Where x=6, y=-7
Put in equation.
[tex]-7+2(6)=5\\-7+12=5\\5=5[/tex]
Hence LHS=RHS
Point B(2,1), Where x=2, y=1
Put in equation.
[tex]1+2(2)=5\\1+4=5\\5= 5[/tex]
Hence, LHS= RHS
Point C(-2,-9), Where x=-2, y=-9
Put in equation.
[tex]-9+2(-2)=5\\-9-4=5\\-13\neq 5[/tex]
Hence LHS[tex]\neq[/tex]RHS
Point D(-4,13)
Where x=-4, y=13
Put in equation.
[tex]13+2(-4)=5\\13-8=5\\5=5[/tex]
Hence, LHS= RHS
Therefore, points (6, –7), (2, 1), and (–4, 13) satisfies the equation and hence. will be the solution of the equation.
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A turtle walking at an average speed of 3/10 mile per hour takes 13/20 hour from its home how long will take if the turtle doubles its average speed
A sapling, or young tree, is planted in a garden. After 3 years, it is 180 cm tall. After 7 years, it is 368 cm tall. How tall will the tree be after 10 years?
(3ft = 1yard) how many yards are in 81 feet ?
If a = 3, what is the value of the expression 36 ÷ a · 4 + 2?
5
48
50
72
What is the prime factorization ?? What is the number and explain ??
12 bars of soap for $10.00 or 5 bars of soap for $4.00
To determine which package is a better deal, we need to compare the price per bar of soap for each package. The second package is the better deal as it has a lower price per bar of soap.
Explanation:The question is asking about the comparison of two different packages of soap based on their price and quantity. To determine which package is a better deal, we need to calculate the price per bar of soap for each package.
For the first package, we have 12 bars of soap for $10.00. To find the price per bar, we divide the total cost by the number of bars: $10.00 ÷ 12 = $0.83 per bar.
For the second package, we have 5 bars of soap for $4.00. Again, we divide the total cost by the number of bars: $4.00 ÷ 5 = $0.80 per bar.
Comparing the prices per bar, we can see that the second package is cheaper, so it is the better deal.
Calculate the volume of the cylinder. Round your answer to nearest hundredth. 2cm is the radius and 6cm is the height
9,513 rounded to the nearest thousand
To round 9,513 to the nearest thousand, we look at the digit in the hundreds place (1) and determine if it is closer to 0 or 1,000. Since it is closer to 0, we round down. Therefore, 9,513 rounded to the nearest thousand is 9,000.
Explanation:To round 9,513 to the nearest thousand, we look at the digit in the hundreds place (1) and determine if it is closer to 0 or 1,000. Since it is closer to 0, we round down. Therefore, 9,513 rounded to the nearest thousand is 9,000.
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3(x-y+5) ??????????!?????
Circle the ways to write the number shown by the model 4 tens 6ones 40+6 64 6 tens 4 ones 60+4ones 46
Applying Place values, the ways to write the number shown by the model are 40+6, 64, and 6 tens 4 ones.
Explanation:40+6: In this representation, the tens digit (40) is added to the ones digit (6), resulting in the number 46.64: This representation directly shows the number with a tens digit of 6 and ones digit of 4.6 tens 4 ones: This representation specifies the number of tens and ones, with 6 tens and 4 ones making up the number 64.Learn more about Place values and Addition here:
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I don't get this question #3
Answer: 90
Step-by-step explanation: Since there are 10 teams any given team will play all the other 9 teams resulting in 9 x 10 = 90.
Calculate the mass of a 5.50 cm3 cylinder of a substance that has a density of 4.20 g/cm3.
Final answer:
The mass of the 5.50 cm³ cylinder of a substance with a density of 4.20 g/cm³ is 23.10 g.
Explanation:
To calculate the mass of the cylinder, you can use the formula: Mass = Density x Volume.
Given that the density of the substance is 4.20 g/cm³ and the volume of the cylinder is 5.50 cm³, you can substitute these values into the formula to find the mass.
Mass = 4.20 g/cm³ x 5.50 cm³ = 23.10 g.
The mass of the cylinder with a volume of 5.50 cm³ and a density of 4.20 g/cm³ is calculated using the formula Mass = Density × Volume, which results in a mass of 23.1 grams.
Explanation:To calculate the mass of a cylinder of a substance when the volume and density are known, use the formula:
Mass = Density × Volume
Given that the density of the substance is 4.20 g/cm³ and the volume of the cylinder is 5.50 cm³, we can substitute these values into the formula:
Mass = 4.20 g/cm³ × 5.50 cm³
Mass = 23.1 g
The mass of the substance is 23.1 grams. It's important to note that the result should be reported with the appropriate number of significant figures. The original volume was given to three significant figures, so the final answer should also reflect three significant figures.
Please help! #20] math problem is with photo. (Math) (10 points)
Answer:
25 mins
Step-by-step explanation:
you want to buy a bouquet of yellow roses and baby's breath for $16.the baby's breath costs $3.50 per bunch,and the roses cost $2.50 each.you want one bunch of baby's breath and some roses for your bouquet.how many roses can you buy?
After subtracting the cost of one bunch of baby's breath ($3.50) from the total budget ($16), you have $12.50 left for the roses. Since each rose costs $2.50, you can buy 5 roses to complete your bouquet within the budget.
To calculate the number of roses that can be bought, first, we need to subtract the cost of one bunch of baby's breath from the total budget for the bouquet. The cost of one bunch of baby's breath is $3.50. With a total budget of $16, we subtract the cost of baby's breath to see how much is left for the roses:
$16.00 - $3.50 = $12.50
Since each rose costs $2.50, we will divide the remaining budget by the cost of each rose to find out the number of roses that can be purchased:
$12.50 / $2.50 = 5 roses
Therefore, you can buy 5 roses along with one bunch of baby's breath to make up your $16 bouquet.
Is 70 thousand written in standard form or word form ? Explain
The expression below shows the population of squirrels in a forest after 3x years: f(x) = 30(1.03)3x Which of the following is an equivalent function?
Which of the following is an example of function notation?
A.Distance + time = 800
B.Distance x time = 800
C.Distance/time = 800
D.Distance(time) = 800
Given a = -3, b = 5, and c = -8, then a 2 b + c is _____.
I thought it was -53 after doing PEMDAS, but I got it wrong. Any help would be appreciated!
Answer:
the answer is 22
Step-by-step explanation:
because -3 is squared and that equals 6 and 6 times 5 equal 30 minus-8 equal 22
what is 1/7+ x = 2/3x
The price of a gallon of unleaded gas has dropped to $2.83 today. Yesterday's price was $2.90 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
The answer is 2.4%
Step-by-step explanation:
I need to know all 13 & 14
Homework Help: All of the following expressions are equivalent except _____.
a) 2 - x
b) x - 2
c)-2 + x
d)x + (-2)
The expressions which are equivalent are x - 2, -2 + x, and x + (-2) so, option A is correct.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Given:
The expressions are equivalent,
Expressions that function identically despite having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then when we enter the same value(s) for the variable, the two expressions have the same value (s).
As you can see in the options 2 - x because this will equal (-x +2) or 2 + (-x)
Thus, the expression which is not equivalent is 2 - x.
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Tayler has $320 to pay for dining room chairs. She expects to pay about $80 per chair. Her friend told her that she has 3 that Taylor can have for free. Complete the equation below to find the total number of chairs that Taylor can get for her dining room. Use c to represent the total chairs
ritz can eat 8 apples in 15 minutes . how long can it take him to eat 16 apples at the same rate
Different rose bushes are grown in a g reenhouse for two months. The number of flowers on each bush is counted at the end of the experiment
. 1. Independent Variable ________________________________________________________________________________
2. Dependent Variable ________________________________ ________________________________________________
3. Control Variable ________________________________________________________________________________
Help please, i dont know i tried.
Macy wants to find the sum of 61,043 and 23,948 your answer is 37,095 find and correct her mistake