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german
3 years ago
13

Anitais making curtain to surround a table.she bought 3/1/4 yards of fabric ,her total was $13, what was the cost per yard

Mathematics
1 answer:
kirza4 [7]3 years ago
4 0

$4 dollars per yard

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An individual needs a daily supplement of at least 464 units of vitamin C and 252 of vitamin E and agrees to obtain this supplem
hichkok12 [17]

Answer:

z (min)  = 705

x₁  = 10

x₂  = 9

Step-by-step explanation:

Let´s call  x₁  quantity of food I ( in ou )  and x₂ quantity of food II ( in ou)

          units of vit. C   units of vit.E   Cholesterol by ou

x₁                 32                      9                         48

x₂                16                      18                          25

Objective function z

z  =   48*x₁   +  25*x₂        To minimize

Subject to:

1.-Total units of vit. C at least  464

32*x₁   +  16*x₂     ≥   464

2.- Total units of vit. E at least  252

9*x₁  + 18*x₂   ≥  252

3.- Quantity of ou per day

x₁   +   x₂   ≤  35

General constraints    x₁  ≥ 0    x₂   ≥ 0

Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:

z (min)  = 705

x₁  = 10

x₂  = 9

5 0
3 years ago
Tara standing 20 feet from a tree and the angle of elevation is 72°. About how tall is the tree?
Zinaida [17]

Answer:

Approx 61.554 feet

Step-by-step explanation:

Since we are dealing with the opposite and adjacent sides, we will use tangent as our ratio.

Since the angle of elevation is 72 degrees, the left side of our equation is tan(72).

The right side of the equation is opposite over adjacent.

x/20

Set these equal to each other.

tan(72) = x/20

Simplify.

20 tan(72)=x

20(3.078) = x

x is approximately 61.554.

4 0
3 years ago
Sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 peopl
disa [49]

Answer:

p value from chi square = 0.081

Step-by-step explanation:

Given that sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 people listen to the classic music. Let denote the proportion of the classic music lovers. The hypotheses are H0: p=0.05 vs Ha: p≠0.05

p value = 0.09

Instead of this if we do chi square

H0: Proportion of music lovers is 5% and non music lovers is 95%

Ha: Proportions are not as per the estimate

(Two tailed chi square test)

Observed       83           1917       2000

Expected        100          1900     2000

O-E                  -17              17          0

chi square

(O-E)^2/E        2.89         0.1521     3.0421

df =1

p value from chi square = 0.081

Though p value is not exactly the same, the conclusion in both tests are the same

5 0
3 years ago
5x+11=-3x+35 i need help solve for x
vaieri [72.5K]

Answer:

x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

5x + 11 = -3x +35

Add 3x to both sides.

5x + 11 + 3x = -3x + 35 + 3x

8x + 11 = 35

Subtract 11 from both sides.

8x + 11 - 11 = 35 - 11

8x = 24

Divide both sides by 8.

\frac{8x}{8} = \frac{24}{8}

x = 3

So therefore, that is how you found your answer: x = 3


8 0
3 years ago
Yx*2; use x=7,And y=2
Mars2501 [29]

Answer:

14*2

Step-by-step explanation:

x=7 and Y=2

2×7*2

14*2

7 0
3 years ago
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