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Lelechka [254]
2 years ago
11

The table shows the amount of lemon juice needed to make lemonade. (Unit 9 Lesson 3) Lemon juice (cups) 5 10 20 Servings 35 70 1

40 Are the two quantities proportional? If so, what is the constant of proportionality?
Mathematics
1 answer:
Gwar [14]2 years ago
6 0
Lemon Juice (cups)    5    10    20
Servings                   35     70  140

The two quantities are proportional. Lemon Juice (cups) is the x-value ; while servings is the y-value.

  35 ÷   5 = 7
  70 ÷ 10 = 7
140 ÷ 20 = 7

The constant of proportionality is 7.

The equation would be: y = 7x
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Answer:

174.66\ mi  or 175\ mi

Step-by-step explanation:

we know that

Applying the law of cosines

c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)

In this problem we have

a=200\ mi

b=30\ mi

C=30\°

substitute the values

c^{2}=200^{2}+30^{2}-2(200)(30)cos(30\°)

c^{2}=30,507.695

c=174.66\ mi

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3 years ago
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Lil makes $3.51 am hour more than Noah. Both of them worked for 42 hours on a project. Together, they made $1147.02 what is Noah
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999.60

Step-by-step explanation:

$3.51 times 42 is 147.42 and 1147.02 minus 147.42 is $999.60

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2 years ago
Three eighths of the students in a class of 32 students are boys. How many students are boys?
nata0808 [166]
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Can someone help find X on the Triangle plssss
Georgia [21]

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<em>x </em>= 128°

Step-by-step explanation:

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7 0
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After releasing of radioactive material into.The atnosphere from.A nuclear.Powe plant in a country in 1988, the hay in that coun
Radda [10]

Answer:

the question is incomplete, so I looked for a similar one:

<em>After the release of radioactive material into the atmosphere  from a nuclear power plant, the hay was contaminated by iodine  131 ( half-life, 8 days). If it is all right to feed the hay to cows  when 10% of the iodine 131 remains, how long did the farmers  need to wait to use this hay? </em>

iodine's half life (we are given x, we need to find b):

0.5A₀ = A₀eᵇˣ

x = 8 days

we eliminate A₀ from both sides

0.5 = eᵇ⁸

ln 0.5 = ln eᵇ⁸

-0.69315 = b8

b = -0.69315 / 8 = -0.08664

since the farmers need to wait until only 10% of the iodine remains (we already calculated b, now we need to find x):

0.1A₀ = A₀eᵇˣ

0.1 = eᵇˣ

ln 0.1 = bx

where b = -0.08664

x = ln 0.1 / -0.08664  = -2.302585 / -0.08664  = 26.58 days

4 0
2 years ago
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