Dana wants to make two types of dog treats. She has 10 cups of peanut butter and 12 cups of flour. Her dog bone treat recipe uses 3 cups of peanut butter and 2 cups of flour to make one tray. A tray of her oatmeal dog treat recipe uses 1 cup of peanut butter and 4 cups of flour. She plans to sell trays of dog treats at the town festival and charge $6 for a tray of dog bone treats and $7 for a tray of oatmeal treats. Dana wants to maximize her income from selling the dog treats.
When writing constraints for the problem, what is the most reasonable definition for the variables x and y?
A) Let x represent the number of cups of peanut butter used and y represent the number of cups of flour used.
B) Let x represent the number of cups of peanut butter used and y represent the number of trays of dog bone treats made.
C) Let x represent the number of dog bone treats made and y represents the number of cups of flour used.
D) Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
Answer with explanation:
Number of cups of peanut that Dana has =10 cups
Number of cups of flour that Dana has =12 cups
Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
Constraints
⇒x>0, y>0
⇒3 x+y ≤10
⇒2 x+4 y ≤ 12
Maximize(Objective Function):
Z=6 x +7 y
⇒⇒ The most reasonable definition for the variables x and y as Dana wants to maximize her income from selling the dog treats
Option D: Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is ? cm2.
A. 102
B. 132
C. 168
D. 340
SOMEONE PLEASE HELP ASAP!!
With two dice, each numbered 1-6, there are two possible ways to roll a 3: thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. how many possible ways are there to roll a 4?
Find (19 x 10*5) -(5 x 10 *4)
Answer:d
Step-by-step explanation:
Clark and his brother Kent played floor hockey in their living room. Each goal was worth 2 points. Clark scored 6 points. Kent scored 8 points. How many points did they score all together?
Alexa's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 20^\circ20
∘
20, degree, and traveled a distance of 3.43.43, point, 4 kilometers before she fell in a straight line perpendicular to the ground.
How far from the skydiving center did Alexa land?
Answer:
3.19495491 rounded to the nearest hundredth is 3.19
Step-by-step explanation:
The distance from the skydiving center did Alexa land will be 3.19 km. The formula of trigonometry is used in the given problem.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
From ΔABC it is obtained that;
[tex]\rm Cos A = \frac{AC}{AB} \\\\ COS 20^0 = \frac{AC}{3.4} \\\\ AC= 0.9694 \times 3.4 \\\\ AC = 3.19 \ km[/tex]
Hence the distance from the skydiving center did Alexa land will be 3.19 km.
To learn more about the trigonometry refer to the link;
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The dining room table in Logan’s dollhouse is a replica of the dining room table in the actual house . The replica is 4 7/8 in. Long how long is the table in the actual house
Answer:
6ft 6 in
Step-by-step explanation:
Write a proportion that uses the scale factor 1/16. The numerator corresponds to the dollhouse, and the denominator corresponds to the actual house. So 4 7/8 goes in the numerator, and the variable goes in the denominator.
1/16=478xx=16⋅478x=78
There are 12 in. in a foot, so 78 in. equals 6 ft 6 in.
Recently in a large random sample of teens a proportion of 0.76 teens said they send text messages to friends. the margin of error for a 98% confidence interval was 0.030. (a) what is the sample statistic for the proportion of teens who send text messages to friends
The sample statistic for the proportion of teens who send text messages to friends is 0.76 or 76%. This result was obtained with a 98% confidence interval and a margin of error of 0.03.
Explanation:The sample statistic in this scenario is the proportion of teens who said they send text messages to friends. In statistics, a sample proportion (also known as a sample percentage) is a way to express the count of observations in a category as a ratio or a fraction of the total sample size.
In your case, the sample statistic is 0.76, meaning that 76% of the teens in your sample said they send text messages to friends. This result was accompanied by a margin of error of 0.030 for your 98% confidence interval.
A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.
The margin of error represents the range in which we are confident that the true population proportion lies given our sample statistic. With a confidence level of 98%, we are sure that if we repeated our sample many times, 98% of those samples would produce a proportion between 76%- 3% and 76% + 3%.
Learn more about Sample Proportion here:https://brainly.com/question/32638029
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What is the order of 5x10^4 , 7x10^-5 , 3x10^-9 , 8x10^4 from least to greatest?
The order from least to greatest of the given numbers 5x10^4, 7x10^-5, 3x10^-9, 8x10^4 is 3x10^-9, 7x10^-5, 5x10^4, and finally 8x10^4. This is determined by comparing the exponents and coefficients of the scientific notation.
To find the order of 5x10^4, 7x10^-5, 3x10^-9, and 8x10^4 from least to greatest, we have to compare their exponents as they determine the size of the numbers. The exponent indicates how many times the number 10 is used in a multiplication.
Here are these numbers in order from the smallest to the largest:
3x10^-97x10^-55x10^48x10^4The smaller the exponent (more negative), the smaller the number. The first is the smallest because it has the most negative exponent (-9), and the last is the largest with the exponent of 4. When exponents are the same, we then compare the coefficients (the numbers before the 'x10'), in this case, 5 is less than 8, so 5x10^4 is smaller than 8x10^4.
Ally bought a mattress and 4 pillows. The mattress cost $769
more than the 4 pillows. She gave the cashier $1300 and
received $51 change.
How much did each pillow cost?
Answer:
Cost of each pillow is $120.
Step-by-step explanation:
Let P denotes cost of each pillow and M denotes cost of mattress.
Then, given cost of mattress is $769
also, Ally gave the cashier $1300 and received $51 change.
Total amount Ally paid = total amount she gave - total amount she receives back.
= $( 1300 - 51 )
= $1249
Since, Ally brought one mattress and 4 pillow . Thus, Total cost is given as,
⇒ M + 4 P = 1249
⇒ 769 + 4 P = 1249
⇒ 4 P = 1249 - 769
⇒ 4 P = 480
⇒ P = 120
Thus, cost of each pillow is $120.
The total weight of 15 boxes is 45 pounds .how much would 40 boxes weigh
Samatha has 24 cards. Chelsea saw 15 more cards than Samatha. How many cards does Chelsea have?
Can someone verify this for me please!
identity the pair of numbers that does not belong with the other three. explain.
Which property can be used to expand the expression -2(3/4x + 7)?
Answer:
C
Step-by-step explanation:
Right in edge2020
factor completely y^2-xy-56x^2
Answer: I got (y-8x)(y-7x) by factoring out the factors of 56, that have a sum of -1.
8 and 7 are factors of 56 when you multiply them and to get a sum of -1, 8 should change to negative. 7 + -8 = -1
What is the answer. Do not need to explain.
3c-d=t solve for d
I'm confused on this
what's the area of a square picture with 16 inch sides
Answer:
256
Step-by-step explanation:
an appliance store sells lamps at $ 95.00 for two.a department store sells similar lamps at five for 250.00 which store sells at a better rate? how much is better?
a baker used 4 cups of flour to make 5 batches of brownie. How many cups of flour does the baker need to make 1 batch of brownies
heeelp
please I will mark the brainliest, please help and show your work
-6x+5-4(x-1)=-4x-(5x-3)+4
Factor the expression 8x3y − 8x2y − 30xy.
Answer: Our factorized term will be
2xy(2x+5)(2x-3)
Explanation:
Since we have given that
[tex]8x^3y-8x^2y-30xy[/tex]
All we need to do is to factorise this expression.
Here are the steps given below:
[tex]2xy(4x^2-4x-15)[/tex]
By manipulating the terms, we get:
[tex]2xy[(2x)^2-4x+1-16]\\\\2xy[(2x-1)^2-16]\\\\2xy[(2x-1)^2-(4)^2]\\\\2xy[(2x-1-4)(2x-1+4)]\\\\2xy[(2x-5)(2x+3)][/tex]
Alternatively,
By using splitting the middle terms,
[tex]2xy(4x^2-4x-15)\\\\2xy(4x^2-10x+6x-15)\\\\2xy[2x(2x-5)+3(2x-5)]\\\\2xy(2x-3)(2x+5)[/tex]
Hence, our factorized term will be
2xy(2x+5)(2x-3)
A zoo has two male lions 1/6 of the line on male lions how many lions are there at the zoo
ILL CHOOSE BRAINLIEST!!!Which region represents the solution to the given system of inequalities?
A
B
C
D
Answer :- D region represents the solution to the given system of inequalities.
Explanation:
In the graph we can see the two lines drawn from the given system are intersecting in the fourth quadrant.
⇒The solution of the system lie in the fourth quadrant.
∴region D represents the solution to the given system of inequalities.
The graph of the linear inequality is the graph of all solutions of the system where the solution of the system of inequalities is the intersection region of the solutions of the two inequalities.B= [2 8 .6 3 ] A= 3 0 2 -1]
what is BA ?
The product of matrices[tex]\(B\) and \(A\) is \([12 \, 24 \, 4 \, -2]\).[/tex]
To find the product (BA), we multiply each row of (B) by each column of (A) and sum the products.
Let's calculate the elements of the resulting matrix (BA):
a. First row, first column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
b. First row, second column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
c. First row, third column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
d. First row, fourth column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
Therefore, the first row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]
Similarly, for the second row of (BA):
a. Second row, first column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
b. Second row, second column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
c. Second row, third column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
d. Second row, fourth column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
Therefore, the second row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]
Hence, the product [tex]\(BA\) is \([12 \, 24 \, 4 \, -2]\).[/tex]
You have two summer jobs. At the Burger Palace you earn $8 per hour. At the community center you teach soccer clinics for $10 per hour. You want to earn at least $200 a week. If x is the number of hours you work at Burger Palace and y is the number of hours you work at the community center, which graph shows all the ways you can earn at least $200 a week? A. 2003-09-04-00-00_files/i0160000.jpg B. 2003-09-04-00-00_files/i0160001.jpg C. 2003-09-04-00-00_files/i0160002.jpg D. 2003-09-04-00-00_files/i0160003.jpg Please select the best answer from the choices provided A B C D Mark this and return
dividing fractions (pt. 2)
A pair of angles can be complementary and supplementary. The answers are sometimes? always? or never true? Justify the answer
!!!!!30 POINTS!!! HELP ME ON THESE GEOMETRY QUESTIONS PLEASE! PLEASE SHOW WORK AND EXPLAIN