The constraints for this problem are represented by the inequalities x > 3y and 15x + 25y ≥ 700. The combinations that satisfy the constraints is (45,10) as it meets both conditions.
Explanation:The constraints for the art store situation are represented by the inequalities x > 3y and 15x + 25y ≥ 700. The first inequality, x > 3y, represents the condition that the number of small prints made must be more than three times the number of large prints sold. The second inequality, 15x + 25y ≥ 700, characterizes the fact the store needs to make a daily profit of at least $700 in order to cover costs.
With these inequalities, we can determine which pairs of small print and large print quantities satisfy this system of constraints. Checking each pair, we find that the combination (45,10) satisfies both inequalities as 45 is more than three times 10, and 15*45 + 25*10 = $775, which is greater than $700. Thus, selling 45 small prints and 10 large prints will satisfy the constraints.
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0.008 is 1 tenth of what decimal
Which expression is equivalent to −1.3+(−4.9)+(−2.6) ?
a −(1.3−4.9)+(−2.6)
b −1.3+(4.9+2.6)
c (1.3+4.9+2.6)
d −1.3−(4.9+2.6)
The equivalent expression to -1.3+(-4.9)+(-2.6) is -1.3 - 4.9 - 2.6, which is represented by option d, -1.3 - (4.9 + 2.6).
Explanation:The subject of this question is a mathematical calculation, more specifically adding negative numbers.
To answer the student's question about which expression is equivalent to -1.3+(-4.9)+(-2.6), we first need to understand that adding a negative number is the same as subtraction. Therefore, the expression can be written as -1.3 - 4.9 - 2.6.
If we look at the options:
Option a, −(1.3−4.9)+(−2.6) is not correct because subtracting a negative number should be the same as adding; Option b, −1.3+(4.9+2.6) is incorrect as well; Option c, (1.3+4.9+2.6) is not equivalent because the signs of all numbers are positive; Option d, −1.3−(4.9+2.6) is indeed the correct option, because it represents the operation of subtraction as originally described. Learn more about Adding negative numbers here:
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15 pts!! Find an equation of the line that satisfies the given conditions: through (2,4) & parallel to the x axis.
Ninety one students signed up for the skating club. Coach Link wants to form teams with the same number of members on each team, but says that is impossible: the only teams he can make are 91 teams of 1 or 1 team of 91. Is coach Link correct. Explain why or why not.
Actually I believe that Coach Link is incorrect in saying that he can only make 91 teams of 1 or 1 team of 91.
To find the number of teams he can make, we have to find the whole number that can divide 91 and give also a whole number answer. In this case, I found it to be 7.
91 / 7 = 13
So this means that Coach Link can also make 7 teams of 13 or 13 teams of 7.
8x-34=5x+2. What is x?
what is the value of the expression? (11 - 4) * (6 + 5) A.18 B.47 C.77 D.117
A = bh; A =96, b = 12 What does h equal?
Final answer:
To find the height h, divide the area A (96) by the base b (12) to get h = 8.
Explanation:
The problem statement A = bh is a formula to calculate the area of a rectangle, where A is the area, b is the base or width, and h is the height. You're given that the area A is 96 and the base b is 12; you need to find the height h. You can rearrange the formula to solve for h by dividing both sides by b:
h = A / b.
Plug in the values that you know:
h = 96 / 12 = 8.
So, the height h equals 8.
Which expression can be used to find the slope of a line containing points (-3,2) and ( 7,-1)
branliest offered 10 points for each question
least to greatest
square root of 8, -2/5, -1, 0.6, square root of 6
-8,3, negative square root of 5, 2.6, -1.5, square root of 5
-8.3,negagitive square root of 80, -17/2, -8.25, negative square root of 100
Write the equation of the line in standard form when the slope is -7 and the line goes through
(-2, 5). Graph the line.
(8 - 4)x + 6 which property is being used?
You are going running. For every mile you run, you burn 100 calories. In the equation below, m represents the number of miles you run, and c represents the number of calories you burn. The relationship between these two variables can be expressed by the following equation: c=100m, equals, 100, m Identify the dependent and independent variables.
The number of miles you run is Independent and the calories you burn is Dependent
Answer:
C is the dependent variable
m is the independent variable
Step-by-step explanation:
For every mile you run, you burn 100 calories. In the equation below, m represents the number of miles you run, and c represents the number of calories you burn
C= 100m
Number of calories burn depends on the number of miles you run
So calories C depends on the miles 'm'
C is the dependent variable because it depends on the value of 'm'
m is the independent variable
To change from one unit to another in the metric system, multiply or divide by multiples of (answer).
Answer:
To change from one unit to another in the metric system, multiply or divide by multiples of 10.
Step-by-step explanation:
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below:
He concludes that she is not running fast enough to exceed her fastest time.
Answer:
Check: He used an incorrect time ratio converting hours to minutes
Check: He incorrectly concluded that she is not running fast enough
Do not check: His units do not cancel
Do not check: He used an incorrect distance ratio converting miles to feet
Do not check: He cannot determine her average rate in miles per hour after only 15 minutes
Step-by-step explanation:
You're welcome bud :)
9 divided by 3/2?????????????
What is the value of the expression ?
The value of this expression is [tex] 3 x 10^{6} [/tex]
In order to find this, you divide each term separately. First we'll start with the numbers in the front.
[tex] \frac{4.8}{1.6} = 3 [/tex]
Now that we have the first number, we look to the 10s and the powers they are raised to. Since we are looking at powers of the same number, we can use the properties of exponents to simply subtract the numbers they are raised to.
[tex] \frac{10^{9}}{10^{3}} = 10^{6} [/tex]
Then we put the two back together for the final answer.
[tex] 3 x 10^{6} [/tex]
Sharina simplified the expression 3(2x – 6 – x + 1)2 – 2 + 4x. In Step 1 she simplified within the parentheses. In Step 2 she expanded the exponent. Which is a possible next step? Simplify the expression by adding and subtracting from left to right. Combine like terms within the parentheses. Combine all x-terms. Distribute the 3 to each term in the parentheses by multiplying.
Answer:
Distribute the 3 to each term in the parentheses by multiplying.
Step-by-step explanation:
3(2x – 6 – x + 1)^2 – 2 + 4x
In Step 1 she simplified within the parentheses.
The expression becomes [tex]3(x-5)^2 - 2 + 4x[/tex]
In Step 2 she expanded the exponent.
After expanding the exponent (x-5)^2 it becomes (x^2-10+25)
[tex]3(x^2-10+25) - 2 + 4x[/tex]
In the next step we distribute 3 inside the parenthesis in order to remove the parenthesis .
Answer: Distribute the 3 to each term in the parentheses by multiplying.
what is -1/3+5(negative one over three plus 5) please help me im confused
2.
The range of the following relation: R: {(3, -2), (1, 2), (-1, -4), (-1, 2)} is (1 point)
a) {-1, 1, 3}
b) {-1, -1, 1, 3}
c) {-4, -2, 2, 2}
d) {-4, -2, 2}
Answer:
D.
Step-by-step explanation:
The range is the (y) value. And you never repeat a number when finding the relation or domain (x). Therefor the best answer would be D.
Its not A because the numbers are for the domain (X value; First column)
Not B because its also for the Domain and it repeats -1 twice
Not C because it repeats 2 twice
Making D the reasonable answer
I hope this helps :))
Doug is going to the store to stock up on food for his dog. While in the store, Doug decides to buy a single bag of dog treats as well. If a large bag of dog food costs $57 and a bag of dog treats costs $9, how many large bags of dog food, x, did Doug buy if he spent $180 and all prices already include sales tax?
Final answer:
To find the number of large bags of dog food Doug bought, use the given prices and total spent in the store.
Explanation:
Doug bought 3 large bags of dog food.
To solve this problem, we can set up the equation: $57x + $9 = $180. From here, we can find x by rearranging the equation to solve for x.
Therefore, Doug bought 3 large bags of dog food, as each large bag costs $57 and he spent $180 in total.
There were 5 people who bought tickets to a football game. They bought 3 tickets each. How many tickets were bought in all?
In an orchard, for every 5 green apples there are 2 red apples. What is the ratio of green apples to red apples?
how to factor x^4+x^2-20
Please help me :/ If AB=BC, then DE=2(AB). AB=6 and BC=6. What can you conclude
Given AB = BC = 6, and DE = 2(AB), then DE = 2 * 6 = 12. Therefore, DE equals 12 units.
Explanation:In the problem, it's stated that AB = BC = 6 units. This means that both AB and BC are equal in length, each measuring 6 units. As per the given relationship, DE is twice the length of AB. Substituting the known value of AB as 6 units into the expression for DE, we get DE = 2 * 6 = 12 units.
The equality of AB and BC implies that the triangle ABC is an isosceles triangle, where AB and BC are the congruent sides. Consequently, the line segment DE, which is related to AB, shares the same length as BC, making DE also equal to 6 units. However, as per the given relationship DE = 2 * AB, DE is calculated as 2 times the length of AB. Substituting AB = 6 units into the equation, DE = 2 * 6 = 12 units.
Therefore, following the given relationship between DE and AB and using the fact that AB = BC, we can confidently conclude that the length of DE is 12 units. This is determined by doubling the known length of AB, which is established by the equality of AB and BC in the context of an isosceles triangle.
Convert 45 miles per hour to feet per hour. Round your answer to the nearest hundredth, if necessary.
1 mile = 5280 feet
45 x 5280 = 237,600 feet per hour
Is 4x + the square root of y = 12 a linear function
The equation 4x + √y = 12 is a non-linear function because of the square root term. Non-linear functions do not have a constant rate of change and their graphs are not straight lines.
Explanation:The equation 4x + √y = 12 is not a linear function. A linear function is defined as a function that can be represented by a straight line. However, this equation contains a square root term, which makes it a non-linear function. To determine the type of function, it is important to consider the rules and properties of different function types.
In this case, the equation represents a non-linear function because of the square root term. Non-linear functions do not have a constant rate of change and their graphs are not straight lines. The square root term introduces a curve in the graph.
For example, let's say y = 4, then we can solve for x: 4x + √y = 12, which simplifies to 4x + 2 = 12. Solving for x, we get x = 2. So, for y = 4, x = 2. If we continue to substitute different values for y, we will see that the relationship between x and y is not linear.
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whats the simple answer and way to solve -46+ x=25
Volume is a three-dimensional measure.
true
false
Simplify 81.56 + n - 2.55.
A)79.10 - n
B)79.01 + n
C)81.56 - 2.55n
Write an equation for the vertical translation. y=1/2x; 18 units down
To write an equation for a vertical translation, subtract the amount of the translation from the original equation. In this case, the equation y = 1/2x becomes y = 1/2x - 18, representing a vertical translation of 18 units downwards.
Explanation:To write an equation for the vertical translation, we start with the equation y = 1/2x. Since we need to shift the graph 18 units down, the equation becomes y = 1/2x - 18. This equation represents a vertical translation of 18 units downwards.