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Stolb23 [73]
3 years ago
11

y is directly proportional to x. When y = 30, x = 6 a) Work out an equation connecting y and x. b) Work out the value of y when

x = 12.​
Mathematics
1 answer:
erica [24]3 years ago
5 0
Answer:
y=5x (your equation)

y=60 (your answer)

Step by step explanation:
You are given two numbers, 6 and 30. Since 6 goes into 30, 5 times, then y(which is equal to 30) is equal to x(which is equal to 6) multiplied by 5, so you get your equation,

Y=5X

then you have to solve for y, so just substitute

Y=5(12)

And simplify

Y=60

And there’s your answer
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I NEED HELP PLEASE! :)
Andrej [43]

Answer:

Perpendicular

Step-by-step explanation:

To tell if the lines are perpendicular/parallel, you must look at the slope, but in this case, you must first get y by itself, like so:

3x + 7y = 15

-3x           - 3x

___________

7y = -3x + 15

<em><u>Divide both sides by 7:</u></em>

y = \frac{-3}{7}x + \frac{15}{7}

<em><u>Now the other equation:</u></em>

7x - 3y = 6

-7x         -7x

_________

-3y = -7x + 6

<em><u>Divide both sides by -3:</u></em>

y = \frac{7}{3} x - 2

You can see that the lines are perpendicular because the slopes (\frac{-3}{7} x and \frac{7}{3}) are opposite reciprocals.

5 0
4 years ago
An old bone contains 80% of its original carbon-14. Use the half-life model to find the age of the bone. Find an equation equiva
Ira Lisetskai [31]

Answer:

An old bone contains 80% of its original carbon-14 in 1844.6479 years

Step-by-step explanation:

We know that

half life time of C-14 is 5730 years

so, h=5730

now, we can use formula

P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }

we can plug back h

and we get

P(t)=P_0(\frac{1}{2})^{\frac{t}{5730} }

An old bone contains 80% of its original carbon-14

so,

P(t)=0.80Po

we can plug it and then we solve for t

0.80P_0=P_0(\frac{1}{2})^{\frac{t}{5730} }

0.80=(\frac{1}{2})^{\frac{t}{5730} }

\ln \left(0.8\right)=\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{5730}}\right)

t=-\frac{5730\ln \left(0.8\right)}{\ln \left(2\right)}

t=1844.6479

So,

An old bone contains 80% of its original carbon-14 in 1844.6479 years


4 0
3 years ago
Read 2 more answers
Ramon jumped 4.5 feet. His older sister jumped 5.21 feet. How much further did his sister jump than he did?
bagirrra123 [75]

Answer:

.71

Step-by-step explanation:

8 0
3 years ago
A recipe needs 1/4 tablespoons salt. the same recipe is made 5 times how much salt is used?
konstantin123 [22]

Answer:    1 and one fourths because 1/4 times 5 is 1 1/4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How would i solve these
Lapatulllka [165]
Every time you see r, replace it with -3. Every time you see s, replace it with 5. You are working wth exponents, which means that the little number next to the big number (exponent) is how many times you multiply the big number by itself. 
For example, 5^3=5x5x5=125 (isn't one of the problems you are trying to solve)
If the expodent is negative, then you divide. S<span>so if it's like 5^-3, you do 1 ÷ 5 ÷ 5 ÷ 5 = 0.008 </span>
Hope this helps! :)
3 0
3 years ago
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