Final answer:
To find the cost of small and large prints, we create two equations based on Andy's and Alex's orders and solve for the two variables. The small 4x6 inch prints cost $0.50 each, and the large 8x10 inch prints cost $1.25 each.
Explanation:
To solve how much small and large sized prints cost, we can set up a system of linear equations based on the information given:
Andy's order: 40 small prints and 10 large prints for $32.50Alex's order: 20 small prints and 8 large prints for $20.00Let s represent the cost of a small 4x6 inch print, and let l represent the cost of a large 8x10 inch print. We can then form the equations:
40s + 10l = 32.5020s + 8l = 20.00By dividing the first equation by 2, we get:
20s + 5l = 16.25Subtracting the second equation from this result gives:
(20s + 5l) - (20s + 8l) = (16.25 - 20)-3l = -3.75l = 1.25With the cost of a large print found, we can plug this back into the second equation to find the cost of a small print:
20s + 8(1.25) = 2020s + 10 = 2020s = 10s = 0.50Therefore, the cost of a small 4x6 inch print is $0.50 and a large 8x10 inch print is $1.25.
What is the area of this triangle? A=bh2
A 24 in²
B 30 in²
C 48 in²
D 96 in²
Answer:
a 24
Step-by-step explanation:
determine which statement is true about the zeros of the function graphed below
Answer:
B
Step-by-step explanation:
How many elements are in the set {A,B,C}?
Answer:
There are 3 elements in the set.
Step-by-step explanation:
Given set,
{A, B, C}
∵ Set is the collection of defined distinct objects,
These objects are called elements of the set,
We have given a set in which A, B, C are present thus they must be distinct,
So, by the above definition,
The given set has three elements.
Evie buys a coat that is marked down by 30% from the original price. After the markdown, the sale price of Evie's coat is $56.00. What was the original price of the coat before the markdown?
A.$72.80
B.$80.00
C.$86.00
D.$95.20
The sale price of an item is $15 after a 70% discount is applied. What is the original price of the item?
Camilla’s class played soccer for 2/3 hour. She played for 3/5 of the game. How much time did Camilla play? A 5/10 hour, B 6/15 hour, C 5/8 hour, D 6/8 hour. Will chose A as the correct answer. How did he get that answer?
Solution:
we are given that
Camilla’s class played soccer for 2/3 hour.
She played for 3/5 of the game.
we have been asked to find
How much time did Camilla play?
Here we are given total time of play for the whole class and camilla played part of that time so we will just multiply the total play time with the fraction of time that camilla played. That will give the actual play time of camilla.
So camila played for [tex]=\frac{2}{3}*\frac{3}{5} =\frac{6}{15}Hr[/tex]
Hence camilla played for 6/15 Hr.
Hence the correct option ois B.
What are the solution(s) to the quadratic equation 50 – x2 = 0? x = ±2 x = ±6 x = ±5 no real solution btw i just clicked the last choice on accident
Answer:
Option C
Step-by-step explanation:
we need to find the solution(s) to the quadratic equation 50 – x^2 = 0
50 – x^2 = 0
Subtract 50 from both sides
– x^2 = -50
Now divide by -1 from both sides
x^2 = 50
To remove square , take square root on both sides
[tex]x=+-\sqrt{50}[/tex]
[tex]x=+-\sqrt{25*2}[/tex]
[tex]x=+-5\sqrt{2}[/tex]
Option C is the answer
Help with this math question
The given inequality is:
|-8x+24| \leq 16
This inequality can be divided in two parts as:
a) -16 \leq -8x +24
b) -8x + 24 \leq 16
Solving part a:
-16 \leq -8x+24 \\ \\ -40 \leq -8x \\ \\ 5 \geq x \\ or \\ x \leq 5
Solving part b:
-8x+24 \leq 16 \\ \\ -8x \leq -8 \\ \\ x \geq 1
Therefore, the solution to the given inequality is x \leq 5 and x \geq 1. Combining both the ranges we get the solution: 1 \leq x \leq 5.
In interval notation, this solution can be expressed as [1,5
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What is the solution to the system of equations graphed below
Answer:
Option C is correct
(1, 5)
Step-by-step explanation:
A system of equations contains two or more than two linear equations that divide two or more unknowns.
To find a solution for the system of equations,
we must find a value from the graph that is true for all equations in the given system.
We know that:
If the graphs of the equations intersect,
then there is one solution that is true for both equations.
Given the graph.
There are two lines
Equation of Blue line : y = -x+6
Equation of Red line = y = 2x+3
Since, the graph of two lines y = -x+6 and y = 2x+3 intersects which means there is one solution that satisfies the both equation.
Therefore, the solution to the system of equations graphed is, (1, 5)
calculate the area of the lawn covered by an oscillating sprinkler that sprays water in a half circle with a radius of 10ft
Which is the next term in this pattern ?
January, February, April, July,___
-August
-November
-October
-December
What’s the sum of 2/5 and 2/4
Write a function rule that gives the total cost c(p) Of p pounds of sugar if each pound costs $.59.
Make a table showing the probability distribution for the possible sums when tossing two four-sided dice (the sides are numbered 1-4 on each die). (give the probabilities as decimals rounded to four decimal places.)
write an equation in slope intercept: 6x+5y=30
Jenifer has 4/5 as many pictures on her camera as Luisa does Jennifer has 28 pictures on her camera . how may pictures do Jennifer and Luisa
ANSWER FAST 20 PTS
What is the measure of T?
ABCD RSTU
125°
110°
100°
60°
Answer:
100
Step-by-step explanation:
Noah’s taxable income is $27,156. He is filing as married filing jointly, and he has already paid $3260 in federal taxes. What will he receive or pay after he figures his taxes for the year?
Final answer:
To determine what Noah will receive or pay after figuring his taxes for the year, we need to calculate his tax liability. According to the 2020 tax brackets, a married couple filing jointly with a taxable income of $27,156 falls into the 12% tax bracket. Since Noah has already paid $3,260 in federal taxes, he has overpaid his taxes and will receive a refund of $1.28.
Explanation:
To determine what Noah will receive or pay after figuring his taxes for the year, we need to calculate his tax liability.
First, we need to determine his taxable income after considering his filing status. As he is filing as married filing jointly, we can check the tax brackets for that status.
According to the 2020 tax brackets, a married couple filing jointly with a taxable income of $27,156 falls into the 12% tax bracket. To calculate the tax liability, we multiply the taxable income by the tax rate, which gives us $27,156 * 0.12 = $3,258.72.
Since Noah has already paid $3,260 in federal taxes, he has paid more than his tax liability for the year. In this case, he will receive a tax refund equal to the difference between his tax liability and the amount he has already paid, so the amount he will receive is $3,258.72 - $3,260 = $-1.28.
Therefore, Noah will receive a tax refund of $1.28 after figuring his taxes for the year.
In a bag of 25 m&ms, each piece is equally likely to be red, green, orange, blue, or brown, independent of the color of any other piece. find the the pmf of r, the number of red pieces. what is the probability a bag has no red m&ms?
To find the probability mass function (pmf) of the number of red M&Ms in a bag, use the binomial distribution formula. The probability a bag has no red M&Ms is calculated by raising (4/5) to the 25th power, as per the binomial distribution with a success probability of 1/5 and 25 trials.
Explanation:The question involves finding the probability mass function (pmf) of the number of red M&Ms in a bag of 25 M&Ms where each M&M has an equal chance of being one of five colors.
To determine the pmf of the number of red M&Ms, which we'll call r, we can use the binomial distribution, since each M&M is an independent Bernoulli trial with two outcomes (red or not red), and each M&M has the same probability of being red.
The probability of getting a red M&M is 1/5, so the pmf of r for k red M&Ms in a bag of 25 is given by P(r=k) = (25 choose k) × (1/5)^k × (4/5)^(25-k).
To find the probability that a bag has no red M&Ms, we set k to 0 in the pmf formula: P(r=0) = (25 choose 0) × (1/5)⁰ × (4/5)²⁵. This simplifies to (4/5)²⁵, since any number to the zero power is 1 and (25 choose 0) is also 1.
What is the value of p? 4 × 11 × p = 11 × 4 × 5 PLZ
What expression represents "one third of the difference between fifteen and some number"?
Possible Answers:
Write the formula for a function d(x) that describes the distance between the point p and a point (x,y) on the line.
Over the past month, a hairstylist has had 49 female clients and 21 male clients. What is the ratio of male clients to female clients for this hairstylist?
The ratio of male clients to female clients for the hairstylist is 21:49, which simplifies to 3:7 after dividing both numbers by the GCD of 7.
The question asks to find the ratio of male clients to female clients for a hairstylist. In this scenario, the hairstylist has had 49 female clients and 21 male clients. To find the ratio of male to female clients, we compare the number of male clients to the number of female clients.
The ratio is expressed as male clients : female clients. Thus, the ratio of male clients to female clients is:
21 male clients : 49 female clients
To simplify the ratio, we find the greatest common divisor (GCD) of 21 and 49, which is 7. Dividing both numbers by 7, we get:
3 male clients : 7 female clients
what is 6.345 divided by 0.09
What is the measure of JK?
If cos(3x)=sin(x+18degrees) what is the value of x
The blue shape is a dilation of the black shape. What is the scale factor of the dilation?
Answer:
the asnwer is 5
Step-by-step explanation:
i did this question
Luke and Christopher go to the movie theater and purchase refreshments for their friends.
Luke spends a total of $41.00 on 3 drinks and 10 bags of popcorn.
Christopher spends a total of $11.00 on 2 drinks and 2 bags of popcorn.
Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.
Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.
For 3x2- 4x+ 1, match the following:
x Degree
3 Variable
1 Algebraic expression
3x2-4x+ 1 Coefficient
. 2 Constant
For this case we have the following definitions:
Algebraic expression: It is one that contains terms of different degrees with their respective coefficients. Degree of the polynomial: is the largest exponent of the polynomial. Variabe: is the independent term of the polynomial Coefficient: They are the constant numerical values that accompany the variables of the polynomial. Constant: It is a term of the polynomial that does not accompany the variable.Answer:
x ----------------> Variable
3 ----------------> Coefficient
1 ----------------> Constant
[tex]3x ^ 2-4x + 1[/tex] -----------> Algebraic expression
2 ----------------> Degree
A partially eaten bag of grape weighs 5/8 of a pound. The bag of grapes weighed 4 times this amount before any were eaten. What was the original weight of the bag of grapes?
To find the original weight of a bag of grapes before some were eaten, you divide the current weight of 5/8 lb by 4. The calculation reveals that the bag's original weight was 5 pounds.
The question asks us to calculate the original weight of a bag of grapes before it was partially eaten. After eating some of the grapes, the bag now weighs 5/8 of a pound. To find the original weight, we need to determine what weight, when multiplied by 4, would equal 5/8 of a pound. We do this by dividing the current weight by 4 to reverse the multiplication. Using the formula:
Original Weight = Current Weight / 4
So:
Original Weight = (5/8) lb / 4
When we do the calculation:
Original Weight = (5/8) lb / (4/1)
Original Weight = (5/8) lb \(1/4)
Original Weight = (5/32) lb
Since (5/32) lb is equivalent to 5 pounds (when multiplied by 4, it gives 20/32 lb, which simplifies to 5/8 lb), the original weight of the bag of grapes was 5 pounds.