Answer:
93
Step-by-step explanation:
(85 + 92 + 87 + 93 + 90 + x)/6 = 90
(447 + x)/6 = 90
multiply both sides of the equation by 6:
447 + x = 540
subtract 447 from both sides:
x = 93
Taco Quatro can make their entire menu out of their fantastic four Mexican ingredients, cheese, meat, beans and tortillas. A Nacholupa (N) needs 2 ounces of cheese, 4 ounces of beans and 3 tortillas. A Quesatilla (Q) needs 4 ounces of cheese, 2 ounces of meat and 1 tortilla. An Enchinacho (E) requires 2 ounces each of cheese, meat, and beans plus 3 tortillas. Their newest menu item, the Burritaco (B) needs 4 ounces of cheese, 2 ounces of meat and one tortilla. A Nacholupa sells for $2.75, a Quesatilla sells for $2, an Enchinacho sells for $3 and the new Burritaco sells for $4. The assistant manager checks the cooler one fine Monday morning and sees that they have 400 ounces of cheese, 150 ounces of meat, 400 ounces of beans and 250 tortillas on hand. Then how many units of each product should be produced to maximize the revenue
Answer:
The solution is:
z (max ) = 446.25 $
x₁ = 55 x₂ = 0 x₃ = 5 x₄ = 70
Step-by-step explanation:
From problem statement:
Nacholupa Quesatilla Enchinacho Burritaco
x₁ x₂ x₃ x₄
Cheese 2 4 2 4
meat 0 2 2 2
beans 4 0 2 0
Tortillas 3 1 3 1
Price $ 2.75 2 3 4
From table :
z = 2.75*x₁ + 2*x₂ + 3*x₃ + 4*x₄ to maximize
Subject to:
Availability of cheese: 400 ou
2*x₁ + 4*x₂ + 2*x₃ + 4*x₄ ≤ 400
Availability of meat : 150 ou
2*x₂ + 2*x₃ + 2*x₄ ≤ 150
Availability of beans : 400 ou
4*x₁ + 2*x₃ ≤ 400
Availability of tortillas : 250
3*x₁ + x₂ + 3*x₃ + x₄ ≤ 250
General constraints:
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 x₄ ≥ 0
All integers
With the use of AtomZmath ( integer solving on-line software )
The solution is:
z (max ) = 446.25 $
x₁ = 55 x₂ = 0 x₃ = 5 x₄ = 70
The ordered pairs (12, 32). (x, 40), (18,48), (21, y) represent a proportional
relationship. Find the values of x and y. Select the two correct answers.
Answer:
x= 17
y=62
Step-by-step explanation:
simplify 0.75 : 2 5/16
To start this is a ratio, and the goal is to get at least 1 to be a whole number so first lets get the number below 1 to 1.
0.75 : 2 5/16 ---> (x1.3333 on both sides) ---> 1 : 3 1/12.
Next, if needed for your answer, lets get the other number to be a whole number as well. We can do this my multiplying both sides by 12 since the fraction on 3 1/12 is 1/12.
1 : 3 1/12 --> (x12 on both sides) ---> 12 : 37
Your final answer will either be 1 : 3 1/12 or 12 : 37, depending on the formatting expected for your homework assignment.
3. 8.F.1.3
Which of the following equations represents
a linear function?
A. y = 3x2
B. y = 2-
C. y = 4x+6
D. y = -x + 3
Suppose the sphere below with radius r has a surface area equal to 45 units
Find the surface area of the sphere with twice the radius.
Answer:
180 units 2 ............
3 less than the quotient of 18 and a number n
Answer:
(18÷n)-3
Step-by-step explanation:
The equation is above. There is no answer to the equation because we don't have a full equation to solve. Unless the question includes the answer to the equation, we can't fully solve it. But I believe that's the answer that you are looking for.
please help me!!!!!!! find the surface area of this figure ?
show your work.
Answer:
[tex] 93 \: {in}^{2} [/tex]
Step-by-step explanation:
Surface area of the figure
[tex] = \frac{1}{2} \times 6 \times 7 + 3 \times \frac{1}{2} \times 6 \times 8 \\ \\ = 3 \times 7 + 3 \times 3 \times 8 \\ \\ = 21 + 72 \\ \\ = 93 \: {in}^{2} [/tex]
3100 people attended a football game. If 5% of the people who attended were teenagers, how many teenagers attended the game?
Answer:
155 are teenagers
Step-by-step explanation:
3100 -5%= 2945
2945-3100=155
HOW DO YOU SOLVE IT PLEASE 20/3 = 10/9 x
Answer:
!! , ' !!!
Step-by-step explanation:
ꜰɪʀꜱᴛ! ᴄᴏᴍʙɪɴᴇ ᴍᴜʟᴛɪᴘʟɪᴇᴅ ᴛᴇʀᴍꜱ ɪɴᴛᴏ ᴀ ꜱɪɴɢʟᴇ ꜰʀᴀᴄᴛɪᴏɴ:
/ = /
/ = / ᴊᴜꜱᴛ ʟɪᴋᴇ ᴛʜᴀᴛ!
ꜱᴇᴄᴏɴᴅ! ᴍᴜʟᴛɪᴘʟʏ ᴀʟʟ ᴛᴇʀᴍꜱ ʙʏ ᴛʜᴇ ꜱᴀᴍᴇ ᴠᴀʟᴜᴇ ᴛᴏ ᴇʟɪᴍɪɴᴀᴛᴇ ꜰʀᴀᴄᴛɪᴏɴ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀꜱ!! ᴇᴀꜱʏ ᴘᴇᴀꜱʏ:
/ = /
9⋅/= 9⋅/ ꜱᴇᴇ ᴇᴀꜱʏ ᴘᴇᴀꜱʏ!!
! :
9⋅/=!!!
ᴀʟᴍᴏꜱᴛ ᴅᴏɴᴇ!!
ꜰᴏᴜʀᴛʜʟʏ!! ᴍᴜʟᴛɪᴘʟʏ ᴛʜᴇ ɴᴜᴍʙᴇʀꜱ (ᴊᴜꜱᴛ ᴛʜᴀᴛ ꜱɪᴍᴘʟᴇ!):
9⋅/
˜”*°•.˜”*°• Which Would equal 60=10x!! •°*”˜.•°*”˜
ꜰɪꜰᴛʜ!! ᴅɪᴠɪᴅᴇ ʙᴏᴛʜ ꜱɪᴅᴇꜱ ᴏꜰ ᴛʜᴇ ᴇQᴜᴀᴛɪᴏɴ ʙʏ ᴛʜᴇ ꜱᴀᴍᴇ ᴛᴇʀᴍ:
60/10 = 10x/10
ʟᴀꜱᴛʟʏ!!! ꜱɪᴍᴘʟɪꜰʏʏ:
=6
ᴛʜᴇɴ ʏᴏᴜ ɢᴇᴛ ʏᴏᴜʀ ᴀɴꜱᴡᴇʀʀ!!
x=6 ʕ ˵• ₒ •˵ ʔ
ᴀɴʏᴡᴀʏꜱ ᴛᴏᴏᴅʟᴇꜱ!!
ʜᴀᴠᴇ ᴀɴ ᴀᴍᴀᴢɪɴɢ ɴɪɢʜᴛ ᴏʀ ᴅᴀʏ!
ꜰʀᴏᴍ ʏᴏᴜʀ ᴏɴᴇ ᴀɴᴅ ᴏɴʟʏ ᴘɪɴᴋʏ ʕ ﾟ ● ﾟʔ
A rectangular prism has a 192 cubic inches.
Answer:
6
Step-by-step explanation:
Volume of Rectangular Prism: (l)(w)(h)
8 x 4 x ? = 192
32 x ? = 192
/32 /32
height = 6
To check work:
(8)(4)(6) = 192
Which type of function is shown in the table below ?
X Y
0 1
1 4
2 16
3 64
Answer:
The answer is linear.
Step-by-step explanation:
The x int is being added by 1 while the y int is subtracting 1
I am doing this fr a meme so whoever responds is cool and I will mark brailiest
Answer:
Step-by-step explanation:
yesssss
Select all statements below that are true about the box plots shown.
1) The interquartile range for the cars going North is higher than the interquartile range for the cars going South.
2) The median speed for the cars going North is higher than the median speed for the cars going South.
3) The interquartile range for the cars going South is 9.
4) The interquartile range for the cars going North is 27.
5) The maximum speed for the cars going North is higher than the maximum speed for the cars going South.
6. The lower quartile for the cars going North is lower than the lower quartile for the cars going South.
In other words, choices 2 and 4 are false while everything else is true.
==========================================================
Explanation:
The boxplot, or box-and-whisker plot, is a visual way to display a five number summary. Recall that the five items of a five number summary are:
MinQ1MedianQ3MaxThe min and max are exactly what they sound like: They're the smallest and largest values. Visually, this means they are the left and right most edges of the whiskers. This assumes that there are no outliers on either side.
The visual representation of Q1 and Q3 are the left and right edges of the box in that order. The gap between them is the IQR (interquartile range). The wider the box, the larger the IQR will be. The diagram shows the north cars have a larger IQR compared to the south ones.
Choice 1) is one of the answers since it is a true statement.
-------------------
The median is visually shown as a vertical line somewhere inside the box. It doesn't have to be at the exact midpoint of the left and right edges. We could have the median be closer to the left edge for instance, as the north cars boxplot shows.
Choice 2 is false because the diagram shows that the cars going south have a higher median speed, due to that lower vertical line being more to the right compared to the upper vertical line. In other words, the median speed of the cars going south is 64 mph while the median speed of the cars going north is 62 mph.
-------------------
Choice 3 is a bit tricky since the left edge of the blue box isn't lined up with a value on the number line. But it appears to be halfway between 58 and 60, so it seems like Q1 = 59 for the southbound cars. The value of Q3 for the southbound cars is Q3 = 68. The IQR is therefore,
IQR = Q3 - Q1 = 68-59 = 9
It's very likely that choice 3 is true
-------------------
For the northbound cars, we have
Q1 = 56
Q3 = 71 (assuming the right edge of the green box is exactly in the middle of the tickmarks of 70 and 72)
So,
IQR = Q3 - Q1 = 71 - 56 = 15
We don't get a result of 27, so choice 4 is not a true statement.
-------------------
Choice 5 is a true statement. The max speed of the northbound cars is larger than the max of the southbound cars. This is because the right tip of the north's whisker is further to the right compared to the south's corresponding whisker.
-------------------
The lower quartile is another name for "Q1" or "first quartile". So we'll be looking at the left edges of each box. The northbound cars have a smaller Q1 value because
Q1 = 56 for northbound cars
Q1 = 59 (or somewhere between 58 and 60) for southbound cars
Therefore, choice 6 is true.
PLEASE HELPPP 7TH GRADE MATHHHH!! WILL GIVE BRAINLIEST!! NEED RN PLEASE
Driving down the highway in separate vehicles, two friends realized that there were mile markers along each side of the road. They counted ten green markers for every mile they traveled. They also counted 8 yellow markers for each green marker. They text to each other their observations and wondered who was driving faster. Dev said he saw 110 green markers in 20 minutes. Mike said she saw 88 yellow markers in 2 minutes. Based on their observations, who is traveling faster?
Answer:
Mike
Step-by-step explanation:
Mike is the traveling faster.
Ryan has homework in six subjects. He is deciding what order to complete them in
Identify the constant of proportionality in the graph.
A) 60
B) 120
C) 180
D) 240
Answer:
A) 60
Step-by-step explanation:
Find two points that intersect with the grid.
(0,0) and (1, 60)
Subtract the second y value from the first y value. Do the same to the X-values.
Write this as a fraction with the y values over the x-values.
60-0= 60
-------------
1 - 0 = 1
60/1 = 60
Researchers wish to examine the effectiveness of a new weight-loss pill. A total of 200 obese adults are randomly assigned to one of four conditions: weight-loss pill alone, weight-loss pill with a low-fat diet, placebo pill alone, or placebo pill with a low-fat diet. The weight loss after six months of treatment is recorded in pounds for each subject. To analyze this data, you would use __________.
a. a z-test
b. a t-test
c. an ANOVA F test
d. a Chi-square test
Answer:b
Step-by-step explanation:
To analyze this data, you would use An ANOVA F test.
What is a normal distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center
The study involves comparing the weight loss of four groups of participants (weight-loss pill alone, weight-loss pill with a low-fat diet, placebo pill alone, or placebo pill with a low-fat diet) after six months of treatment. ANOVA (Analysis of Variance) is a statistical method used to analyze the differences among means of two or more groups.
In this case, ANOVA can be used to determine if there are significant differences in weight loss among the four treatment conditions.
A t-test or z-test would be appropriate if there were only two groups being compared.
A chi-square test is used to analyze categorical data, which is not applicable in this scenario where the data is continuous.
Therefore, an ANOVA F test would be used.
Learn more about normal distribution here:
https://brainly.com/question/29509087
#SPJ2
can someone plz help
Question 3 of 11 Lucy asked 5 friends how many books they each read last month. She put her data in a table and found the total books read. Friend Ben Ann Dan Ellie Caty Total Number of books 0 0 3 3 10 Find the mean and the median of the data set. Determine which of these values is greater. A. The median, 3, is greater than the mean, 2. B. The median, 4, is greater than the mean, 0. . C. The mean, 3. is greater than the median, 2 D. The mean, 4, is greater than the median, 3.
Step-by-step explanation:
mean = 0 + 0 + 3 + 3 + 10 ÷ 5
= 16 ÷ 5
= 3.2
median = 3
Find the degree of the polynomial 7x⁴– 25x + 3x⁷
Answer:
The degree of the polynomial is equal to 7.
Step-by-step explanation:
The given polynomial is :
7x⁴– 25x + 3x⁷
We need to find the degree of the polynomial.
We know that,
Degree of the polynomial = The highest sum of exponents for anyone monomial.
In this case, the powers of x are 4,1 and 7.
Out of these three, the exponent of x is 7 which is highest.
Hence, the degree of the polynomial is equal to 7.
What is the measure of the angle in standard position 30 330 -60 -30
Solve the following equation for x 2log: 2x = 2 Describe what method you used to solve the problem and why?
Answer:
look at the picture i sent
What’s the correct answer?????
Correct answer gets brainlest
Answer:
B. $14
Step-by-step explanation:
starting amount: $8 per hour
8x35 weeks=280
8x0.05=0.4
8+0.4=8.40
8.40x35=294
294-280= 14
OR
8x35 weeks=280
280x0.05= 14
What is the value of [ 3 × ( 8 − 2 ) ] + 5 ?
The price of a ticket to attend a show is $28.50. In addition to the ticket price, Laurence had to pay a service fee of 10% and a sales tax
of 6%. The service fee and sales tax are each applied to the original price of the ticket
How much did Laurence pay in total?
Enter your answer in the box.
Answer:
HI!!
Step-by-step explanation:
6)
Which polynomial is in standard form?
A)
3m3 + 2m? - m + 2
B)
8m3 + 6m2 + 2 - m
C)
-m” + 2m - m
– m2 + 1
D)
mº + 6m3 - 3m4 - 8
Answer:
D is the answer of this question
WILL
GIVE
BRAINLIST
...
.
(x-14) multiplied by (x+21)=0
Write down all numbers x that satisfy at least one condition.
Answer:
15
Step-by-step explanation:15
Scott is playing a game. He rolls a fair number cube numbered 1 through 6 and spins the spinner shown.
Which shows all the possible unique combinations of an even number on the number cube and an odd number on the spinner?
Select one:
Possible Outcomes
1 7
1 9
3 7
3 9
5 7
5 9
Possible Outcomes
2 8
2 10
4 8
4 10
6 8
6 10
Possible Outcomes
1 8
1 10
3 8
3 10
5 8
5 10
Possible Outcomes
2 7
2 9
4 7
4 9
6 7
6 9
Find the GCD of 36,72 and 576
Answer:
36
Step-by-step explanation:
1×36
36×2
36×16
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