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]
Each interior angle of a regular nonagon has a measure 13x+10°. What is x?
Answer:
Step-by-step explanation:
A nonagon has nine sides.
The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.
Each interior angle = 180°-exterior angle = 140°.
13x + 10° = 140°
x = 10°
Guys help I’m failing math this assignment is 100 points it will boost my grade I’m timed..
Answer:
edf
Step-by-step explanation:
Find the value of x in the parallelogram below.
Answer:
B) x = 12
Step-by-step explanation:
m∡EOU = m∡TQE
m∡EOU =180 - (39+45) = 96°
m∡TQE: 7x + 12 = 96
7x = 84
x = 12
In the figure ,PS bisects angle RPT.If PS//QR then prove that:PQ=PR
If the base of a rectangle is 27.4 mm and the area is 420.92 mm2 what is the height of the rectangle?
Answer:
15.36mm
Step-by-step explanation:
The area of a triangle can be defined as B x H or L x H,
In your case, I'm assuming you meant base as length, so just plug into the equation:
L x H = 420.92mm2
27.4 x H = 420.92
H = 15.36
If you want to be exact, it is 15.3620438
The required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.
The base of a rectangle is 27.4 mm.
The area is 420.92 mm2.
What is the height of the rectangle is to be determined.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°. Beside of square its pair of opposide sides are named as length and width sometimes base and height according to the mentions.
The area of a rectangle is a product of is two adjacent sides i.e. length * width
Area of the rectangle = height * base
420.92 = 27.4 * height
height = 420.92/27.4
height = 15.36
Thus, the required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.
Learn more about rectangles here:
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pls help i dont have much time
ILL GIVE BRAINLIEST TO WHOEVERS ANSWER IS RIGHT
THE ANSWER IS WORTH 100 POINTS
Answer:
HI! MARK ME BRAINLIEST!
Step-by-step explanation:
Your answer will be 25! Just think of it! You'll get it
........................................................................................
Solve
........................................................................................
Answer:
10 - 15%
Step-by-step explanation:
Just guessing
Find the area of the composite figure?
Answer:
400
Step-by-step explanation:
25*35=700
10*30=300
700-300=400
PLEASE HELP 25 POINTS
The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.
Which answer correctly identifies the elevations of both points on the map?
Point X= 1500m, Point Z= 2000m
Point X= 1550m, Point Z= 1600m
Point X= 1600m, Point Z= 2050m
Point X= 2050m, Point Z= 1600m
Answer:Point X= 1600m, Point Z= 2050m
Step-by-step explanation:
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.
help please. will give Brainly.
Answer:
a10 = 15
an = 6n - 45
Step-by-step explanation:
a12 = 27 = a + 11d - eq 1
a14 = 39 = a + 13d - eq 2
eq 2 - eq 1
2d = 12
d = 6
a + 11(6) = 27
a + 66 = 27
a = -39
a10 = a + 9d = -39 + 9(6) = 15
Tn = a + (n-1)d
-39 + 6(n - 1)
-39 + 6n -6
an = 6n - 45
evaluate: (_1_i)^(5/3)
Answer:
(
1
)
(
5
/
3
)
Step-by-step explanation:
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?
NEED HELP IN FINDING AREA
Answer:
809 km²
Step-by-step explanation:
I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)
(25 * 17) + (24 * 13) + (6 * 12) {17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}
425 + (24 * 13) + (6 * 12) {24 by 13 is 312.}
425 + 312 + (6 * 12) {6 by 12 is 72.}
425 + 312 + 72 {From left to right, add 425, 312, and 72 to get 809}
737 + 72
809 km²
The area of this figure is 809 km².
ugriuhgi5ughoiruhr PLEASE HELP 10 POINTS!
Answer:
A = 6
B = 6
C = 7
D = 4
Step-by-step explanation:
Identify the equation that correctly shows the given relationship.
what is the definition of corresponding sides
Answer:
Corresponding sides touch the same two angle pairs.
Step-by-step explanation:
Answer:
In a pair of similar triangles, the corresponding sides are proportional. Corresponding sides touch the same two angle pairs.
When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.
Find the GCF of the terms of the polynomial.
1424 - 7023 + 1022
Paisley is going to invest $28,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Paisley to end up with $74,000?
Answer:
r=7
Step-by-step explanation:
74000=28000(1+r/12)^12(14)
divide 74000 by 28000, and cancel out 28000.
1.00580=1+r/12
(100) .06962=r
r = 6.96198
the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7
r=7
Please help givin brainliest
Answer:
Answer H
Step-by-step explanation:
Question 1 of 10
What is the solution to this equation?
9x - 4(x - 2) = x + 20
A. X = 3
B. X = 7
C. X = -7
D. X = -3
Step-by-step explanation:
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The midpoint AB is M (1,1). If the coordinates of A are (-3,-3), what are the coordinates of B
Answer:
(2,−4).
Step-by-step explanation:
Hope this helps and have a wonderful day!!!!
what does venerable mean
Answer:
accorded a great deal of respect, especially because of age, wisdom, or character.
"a venerable statesman"
Similar:
respected
venerated
revered
reverenced
Step-by-step explanation:
Hope it helps u , Good luck ^.^
Grandma received 0.25 liters of medicine from her doctor. The directions asked her to take one teaspoonful 3 times daily until it is finished. A full teaspoon has a capacity of 4 ml. Grandma started taking her medicine on November 20th. What date should the medicine finish?
Answer:
Dec 10
Step-by-step explanation:
0.25 liter = 250 ml
4 ml * 3 = 12 ml
250/12 = 20.83 days
Nov 20 - Nov 30: 11 days
Dec 1 - Dec 9: 9 days
On December 9, she can still take her 3 doses.
By December 9, she will have taken 12 ml per day for 20 days for a total of 240 ml. She has 10 ml left for Dec 10th.
On Dec 10, she will take 2 doses of 4 ml and 1 dose of 2 ml, and she will finish the medicine.
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.
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Help please!!!! I’ll appreciate it so much!
Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?
Answer:
the can that costs 8.44 is a better buy
Step-by-step explanation:
Answer:
the 24 can pack
Step-by-step explanation:
2.85 x 4 = 11.4
$11.4 is more expensive than $8.44
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
X 6.4.7-T
Question Help
Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining
Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then
P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)
… = P(-0.32 < Z < 0.32)
… = P(Z < 0.32) - P(Z < -0.32)
… ≈ 0.6255 - 0.3745
… ≈ 0.2510
where Z is normally distributed with mean 0 and s.d. 1.
• • •
Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,
[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]
Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.
The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have
P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))
… = P(-1.6 < Z < 1.6)
… = P(Z < 1.6) - P(Z < -1.6)
… ≈ 0.9452 - 0.0548
… ≈ 0.8904