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aleksley [76]
3 years ago
8

Solve the system by substitution. 5x+2y= 5 y=-2x + 3

Mathematics
1 answer:
Mamont248 [21]3 years ago
3 0
5x+2(-2x+3)=5
5x-4x+6=5
x=-1

Then plug back into either to solve for y.

y=-2(-1)+3
y=2+3
y=5

Substitution means you just replace one variable with the other equation so only one variable is showing. That’s how you solve for the first variable.
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Hello can you please help me posted picture of question
Zarrin [17]
Trinomial means a polynomial having 3 different terms. According to the given statement we have to choose a trinomial which also contains a constant term.
From the given options we can see only option A gives such a polynomial which has 3 terms and a constant term in it as well.

The rest of the options either have lesser terms or no constant term. The given two conditions are only satisfied for option A.
4 0
3 years ago
5.Footlocker buys Air Jordans for $30 a pair. They mark it up 75%. How much is the mark-up on a pair of Air Jordans
allochka39001 [22]

Answer:

$52.50

Step-by-step explanation:

What you do is you move the decimal two times to the left from 75%.

0.75*?=?

Take the orginal price and multiply ($30) by 0.75.

0.75*30= $22.50

Take 22.50 and add that to your original amount.

$22.50+$30= $52.50 or $52.5

4 0
3 years ago
Jason has 60 cars. 30% is blue. How many are blue?
Dmitriy789 [7]
So to figure out 10% of this would be to remove the 0. that would be six. since 30÷10 is 3, we have to do 6×3. that would be 18, so 30% of 60 is 18
5 0
3 years ago
Read 2 more answers
Suppose the radius of a circle is three units what is the circumference
SpyIntel [72]

Answer:

6\pi or 18.84 units

Step-by-step explanation:

The circumference of a circle can be found using the formula C=2\pi r, where C is the circle's circumference and r is the circle's radius. We know that r=3 and that we are solving for C. Therefore:

C=2\pi r\\C=2*\pi *3\\C=6\pi

Since \pi is approximately 3.14, 6\pi =6*3.14=18.84 units. Hope this helps!

3 0
3 years ago
Suppose an unknown radioactive substance produces 8000 counts per minute on a Geiger counter at a certain time, and only 500 cou
mariarad [96]

Answer:

The half-life of the radioactive substance is of 3.25 days.

Step-by-step explanation:

The amount of radioactive substance is proportional to the number of counts per minute:

This means that the amount is given by the following differential equation:

\frac{dQ}{dt} = -kQ

In which k is the decay rate.

The solution is:

Q(t) = Q(0)e^{-kt}

In which Q(0) is the initial amount:

8000 counts per minute on a Geiger counter at a certain time

This means that Q(0) = 8000

500 counts per minute 13 days later.

This means that Q(13) = 500. We use this to find k.

Q(t) = Q(0)e^{-kt}

500 = 8000e^{-13k}

e^{-13k} = \frac{500}{8000}

\ln{e^{-13k}} = \ln{\frac{500}{8000}}

-13k = \ln{\frac{500}{8000}}

k = -\frac{\ln{\frac{500}{8000}}}{13}

k = 0.2133

So

Q(t) = Q(0)e^{-0.2133t}

Determine the half-life of the radioactive substance.

This is t for which Q(t) = 0.5Q(0). So

Q(t) = Q(0)e^{-0.2133t}

0.5Q(0) = Q(0)e^{-0.2133t}

e^{-0.2133t} = 0.5

\ln{e^{-0.2133t}} = \ln{0.5}

-0.2133t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.2133}

t = 3.25

The half-life of the radioactive substance is of 3.25 days.

7 0
3 years ago
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