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ELEN [110]
3 years ago
12

-2x+15y=24 2x+9y=24, what is the value of x and y

Mathematics
1 answer:
kaheart [24]3 years ago
4 0
Eliminate x's by adding te 2 equations

add them

-2x+15y=24
<u>2x+9y=24 +</u>
0x+24y=48

24y=48
divide both sides by 24
y=2

sub back

2x+9y=24
2x+9(2)=24
2x+18=24
minus 18 both sides
2x=6
divide 2
x=3


x=3
y=2

(x,y)
(3,2)
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On a 50 question test, Erick missed 10 questions. What is the exact grade he got on the test?
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He got an 80

Step-by-step explanation:

50 - 10 = 40

40/50 as a whole number is 80

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Type of slope that is less than zero
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3 years ago
A sample of a radioactive substance decayed to 97% of its original amount after a year. (Round your answers to two decimal place
Alborosie

Answer:

23 years

Step-by-step explanation:

Step 1: Calculate the rate constant (k) for the radioactive decay

A radioactive substance with initial concentration [A]₀ decays to 97% of its initial amount, that is, [A] = 0.97 [A]₀, after t = 1 year. Considering first-order kinetics, we can calculate the rate constant using the following expression.

ln [A]/[A]₀  = - k.t

k = ln [A]/[A]₀ / -t

k = ln 0.97 [A]₀/[A]₀ / -1 year

k = 0.03 year⁻¹

Step 2: Calculate the half-life of the substance

We will use the following expression.

t_{1/2} = ln2/ k = ln 2 / 0.03 year⁻¹ = 23 years

4 0
3 years ago
ALGEBRA
riadik2000 [5.3K]
Is there a picture that I can see so I can hopefully help you out?
7 0
2 years ago
The volume of the above cylinder is 21m find the radius of the circular end
german

Answer:

0.75m

Step-by-step explanation:

The volume of a prism is:

the area of the cross section × length

In this case the cross section is the circle so the formula is

v = πr²h

volume = 21m³

height or length = 12m

Sub in the values:

21 = πr² × 12

1.75 = πr² (I divided both sides by 12)

0.5570423008 = r² (I divided both sides by π)

r = 0.74635... (I square rooted both sides)

r ≈ 0.75m (to 2 d.p)

4 0
3 years ago
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