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4 years ago

If y varies directly as x and y = 20 when x = 6, what is the value of y when x = 24?

2 answers:

7 0

The equation of that is y=kx
Substitute it in and you get
20=6k
Divide 6 on both sides
k=3 1/3
Then since it asks what is the value of y when x is 24 use k in the equation
y=3 1/3*24
so y=80 is the answer

LUCKY_DIMON [66]4 years ago

5 0

Answer:

B. 80 is correct

Step-by-step explanation:

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Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitution

Rzqust [24]

Y = -2x +8
y = x-1

y=y

-2x+8 = x-1

-3x = -1 -8

-3x = -9

3x = 9

x = 3

6 0

3 years ago

Einsteinium-253253253 is an element that loses about \dfrac23

Sedbober [7]

Answer:

$S(t)=450\times(1/3)^t$

Explanation:

The element is einstenium-253. That means that the mass number, i.e. numbrer of protons plus neutrons, of this isotope is 253, but that is not relevant to answer the question.

It is said that the element loses about 2/3 of its mass every month, then to find the remaining amount, every month you have to multiply by 1/3.

With that you can create a decaying function that gives a sample's mass in grams:

$Initial\text{ }mass=M_0\\ \\ Mass\text{ }after\text{ }1\text{ }month=M_0\times1/3\\ \\ Mass\text{ }after\text{ }2\text{ }months=M_0\times(1/3)^2\\ \\ Mass\text{ }after\text{ }3\text{ }months=M_0\times(1/3)^3\\ \\ Mass\text{ }after\text{ }t\text{ }months=M_0\times(1/3)^t$

Now you can replace the initial mass with 450 g and write the specific function for this sample:

$S(t)=450\times(1/3)^t$

4 0

3 years ago

Read 2 more answers

Evaluate the expression shown below and write your answer as a fraction in simplest form.

igor_vitrenko [27]

hola**co'mo esta'sdssfsrfetryrtpoqqll

4 0

3 years ago

You leave your ranch in South Texas to drive your cattle to the railroad in Abilene, Kansas. You have 2,000 head of cattle and 1

ycow [4]

Answer:

You get $5727.27

Step-by-step explanation:

At the start, you have 2000

After you are attacked, stampeded and have trouble finding water, you have lost 10% of your cattle

2000 * 10% is 200

2000 - 200 is 1800

Multiply 1800 cattle by $35 per cow

1800 * $35 = $63000

10 cowboys + 1 (you) is 11 people

Divide $63000 by 11

63000 / 11 = $5727.27

You get $5727.27

6 0

4 years ago

Simplify the expression: 1x+10y=4+3

igomit [66]

Answer:

Simplify the expression:

1x+10y=4+3

Step-by-step explanation:

1 : x+10y=4+3

x+10y=4+3

x+10y=7

x+10y-10y=7-10y

x=7-10y

hope it helps

3 0

3 years ago

Read 2 more answers