1413 A B 1 1 1 2 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirements at the least cost
Solution :
It is given that a large institution is preparing food menus which contains foods A as well as B.
Each lunch provides :
10 units of carbohydrates
6 units of fats
7 units of proteins
The food from A cost = $0.12 per ounce
And food from B cost = $0.08 per ounce
Objective function :
[tex]$C= 0.12x+0.08y$[/tex]
Constraints : [tex]$x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$[/tex]
Domain : [tex]$3 \leq x\leq 7$[/tex]
Range : [tex]$0\leq y\leq4$[/tex]
find the interest and final payment. interest rate: 12%. previous balance: $4,800
Answer:
Equivalent representations of percent problems
Step-by-step explanation:
The diameter of each circular hole in a paint palette is 42 millimeters.
Find the circumference of each hole. Use 3.14 as an approximation for .
A 128 millimeters
B 131.88 millimeters
C 120 millimeters
D 42 millimeters
Answer:
B
Step-by-step explanation:
The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88
Answer:
B
Step-by-step explanation:
the circumference of a circle is
2×pi×r
with r being the radius (half the diameter).
2r is then the diameter.
so, in our case the circumference is
42×pi = 42 × 3.14 = 131.88 mm
Find f(-3) if f(x) = x 2.
A) 6
B-9
C)9
D-6
Answer: f(-3)=(-3)^2
f(-3)=9
the answer is C
Step-by-step explanation:
Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4.25. The total cost of the lunches is $53.75, including a $7 delivery fee.
Part A
Which equation will help you find x, the number of boxed lunches Janie ordered?
a 4.25x = 60.75
b 4.25 + 7x = 53.75
c 4.25x + 7 = 53.75
d 4.25(x + 7) = 53.75
Part B
Solve the equation from Part A to find x.
x = _____
Answer:
Part A: c. 4.25x+7=53.75
Part B: 11
Step-by-step explanation:
4.25x+7=53.75
4.25x=46.75
x=11
a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?
what’s the answer in miles?
PLEASE HELP ME OMG!!!
Answer:
The vehicle can drive 450 miles.
Step-by-step explanation:
You must find how many miles the car goes on one gallon, so since 300÷20= 15, you then know that the car can travel 15 miles per gallon. Therefore, you must do 15 x 30 to get 450 miles.
Answer:
450 miles
Step-by-step explanation:
By 20 gallons,the car travels 300 miles
by 1 gallon, car travels 300÷ 20 miles
By 30 Gallons, car travels: (300÷20 )×30
450miles
An exam has 40 multiple-choice questions, each with 5 choices. Only 1 of the 5 choices for each
question is correct. If you used a table of random digits to randomly choose your answer on all
questions, about how many answers would you expect to get correct?
Select one:
O
a. 40
O
b. 0
0
C. 20
d. 8
e. 5
I will give a brilliant if the answer was correct
Please helppp
Answer:
D.8
Step-by-step explanation:
Since your chance of success is only 1 out of 5 or rather, 20%, so
40 divided by 5 equals 8, so the answer is D.
(Of course, this is just what SHOULD happen, not what CERTAINLY can happen.)
Expected number of answers to be correct = 8.
What is probability?Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.
Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.
Probability (Event) = Favorable Outcome/Total Outcome = x/n
Given,
Number of questions = 40
One of 5 choices is correct
then, probability of getting correct option = 1/5
Number of correct answers = 40 × 1/5 = 8
Hence, 8 answers are expected to be correct.
Learn more about probability here:
https://brainly.com/question/30034780
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ugriuhgi5ughoiruhr PLEASE HELP 10 POINTS!
Answer:
A = 6
B = 6
C = 7
D = 4
Step-by-step explanation:
What is the total surface area of a rectangular prism whose net is shown 19 in. 17in. 6.in.
Answer:
1078in
Step-by-step explanation:
Surface area =2(wl+hl+hw)
2·(17·19+6·19+6·17)=1078in
help me please and answer correctly people answer wrong on purpose
please help solving x
Answer:
x = -7
Step-by-step explanation:
m<MLP + m<PLK = m<MLK (angle addition postulate)
(x + 31) + (x + 147) = 164 (substitution)
Solve for x
x + 31 + x + 147 = 164
Add like terms
2x + 178 = 164
2x = 164 - 178
2x = -14
x = -14/2
x = -7
Please answer quickly! Will mark brainliest
Answer: C) 1/a^12•b^8
Step-by-step explanation:
Can someone help please ASAP
Answer:
U need to draw a triangle
Step-by-step explanation:
please help asap ! no scam links or scam comments for points or reported.
Answer:
C
Step-by-step explanation:
it is -25x X= each time he goes rock climbing
A student invested 1300 in account that pays 4% annual compound interest. He will not make any additional deposits or withdraws. How much will he have in the account at the end of five years?
1^12 multiplied by 3,268,584
Answer:
3,268,584
Step-by-step explanation:
1^12 is 1
Find the area of the composite figure?
Answer:
400
Step-by-step explanation:
25*35=700
10*30=300
700-300=400
........................................................................................
Solve
........................................................................................
Answer:
10 - 15%
Step-by-step explanation:
Just guessing
Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
The experimental probability that Jason will roll a 2 is 3/14.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Jason rolls the die 14 times.
From the given table,
Number of favorable outcomes = 3
Total number of outcomes = 14
So, the probability = 3/14
Therefore, the experimental probability that Jason will roll a 2 is 3/14.
To learn more about the probability visit:
https://brainly.com/question/11234923.
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please help i am giving away brainliest
A swimming pool in the shape of a cylinder with a diameter of 10 m and a depth of 3 m is being filled with water. 27,535 L have been added so far. 1 m3 is equal to 1000 L. To the nearest liter, how much more water can the pool hold?
A. 236,000 L
B. 208,084 L
C. 236,616 L
D. 207,314 L
No dam links
Answer:
207,314
Step-by-step explanation:
V = πr2h =π · 52·3 ≈ 235.61945 m^3
because 1m^3 = 1000 L, (27,535 / 1000) = the amount of added water in m^3. As this is equal to 27.535, we can substract this from 235.62.
235.62 - 27.535 is about 208.085, or 207.314 because of rounding. As this is in m^3, we multiply by liters to arrive at the answer of 207,314, or option D.
What is the area of the parallelogram
shown above?
[?] square feet
Answer:
299 square feet
Step-by-step explanation:
Area of a parallelogram = base × height
Base = 23 ft
Height = 13 ft
Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.
Area of the parallelogram shown = 23 × 13
Area = 299 ft²
HELP ASAP!! I will give brainlist!! THANK YOU!
Answer:
dont trust me but i think its subtraction or division
Step-by-step explanation:
amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber have learned and what will the total balance be in the account
A survey conducted by the U.S. department of Labor found the 48 out of 500 heads of households were unemployed. Compute a 99% confidence interval for the proportion of unemployed heads of households in the population. Round to three decimal places. (make sure to type a zero in front of the decimal place ie. 0.1 vs .1 otherwise your answer will be marked incorrect) Lower limit
Answer:
99% Confidence interval is given as;
Lower Limit = 0.062
Upper Limit = 0.130
Step-by-step explanation:
Given the data in the question;
x = 48
n = 500
sample proportion p = x/n = 48/500 = 0.096
with 99% confidence
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex] = 2.576
Now,
Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]
we substitute
SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]
SE = √[ (0.096 × 0.904) / 500 ]
SE = √[ 0.086784 / 500 ) ]
SE = 0.0131745
so
Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE
E = 2.576 × 0.0131745
E = 0.0339
Now 99% confidence interval will be
⇒ 0.096 ± 0.0339
⇒ (0.096 - 0.0339, 0.096 + 0.0339 )
⇒ ( 0.062, 0.130 )
Lower Limit = 0.062
Upper Limit = 0.130
Please help givin brainliest
Answer:
Answer H
Step-by-step explanation:
perimeter 254 meters and dimension measures 6 meters
Answer:
didn't even ask a question
Step-by-step explanation:
impossible to answer without a question
evaluate: (_1_i)^(5/3)
Answer:
(
1
)
(
5
/
3
)
Step-by-step explanation:
A random sample of house sizes in major city has a sample mean of
Answer:
A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:
According to a survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of e-mails per day (Entrepreneur magazine website). Assume the number of e-mails received per hour follows a Poisson distribution and that the average number of e-mails received per hour is five. a. What is the probability of receiving no e-mails during an hour (to 4 decimals)
Answer:
the probability is 0.0067
Step-by-step explanation:
The computation of the probability of receiving no e-mails during an hour is shown below;
Let us assume x be the number of emails received during an hour
Now the probability of receiving no e-mails is
= e^-5 × 5^0÷ 0!
= e^-5 × 1 ÷ 1
= e^-5
= 0.00674
= 0.0067
Hence, the probability is 0.0067
You earn $86,000 the first year you graduate from college with a master's degree in chemical engineering. If you should be saving 25% of your gross pay, how much should you save?
A. $21,500
B. $64,500
C. $18,300
D. $12,400