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Luden [163]
3 years ago
9

Solve each system of equations algebraically. y=x+5, y=6​

Mathematics
2 answers:
Rasek [7]3 years ago
5 0

Answer:

x = 1

Step-by-step explanation:

y = 6

Substitute this into y = x + 5

6 = x + 5

1 = x

padilas [110]3 years ago
5 0

Answer:

x=1, y=6. (1, 6).

Step-by-step explanation:

y=x+5

y=6

---------

x+5=6

x=6-5

x=1

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You have 480 grams of a radioactive kind of samarium. If its half-life is 90 years,
lisov135 [29]

Answer:

120 grams will be left after 180 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                             N(t)=N_0(\frac{1}{2})^\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know that:

  • The initial quantity is 480 g,
  • The half-life is 90 years,
  • 180 years is the time elapsed.

And we want to find how much will be left. For this we use the above formula.

N(t)=480\left(\frac{1}{2}\right)^{\frac{180}{90}}\\\\N(t)=480\left(\frac{1}{2}\right)^2\\\\N(t)=480\cdot \frac{1}{2^2}=120

120 grams will be left after 180 years.

3 0
3 years ago
An environmental group at a local college is conducting independent tests to determine the distance a particular make of automob
melomori [17]

Answer:

26.5265

Step-by-step explanation:

<u>Confidence Interval</u>

When the population standard deviation \sigma is known, the formula for a confidence interval for a population mean \bar x is:

\displaystyle \bar x \pm z\frac{\sigma}{\sqrt{n}}

Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are

\bar x=28.2,\ \sigma=2.7, \ n=10

Calculating the confidence interval

\displaystyle 28.2 \pm 1.96\frac{2.7}{\sqrt{10}}

\displaystyle 28.2 \pm 1.6735

Or, equivalently

26.5265

6 0
3 years ago
Can anybody help me with this question?
Bogdan [553]
For number 16 we need to write the data as a ratio then convert to a unit rate (amount per 1)...

308/14 = x/1

Cross multiply

14x = 308
x = 308/14
x = 22

So the fuel efficiency is
22 miles per 1 gallon or

22/1

For number 17, since the car was driven at 48 mph, we just have to divide distance driven by speed to get how long it took...

288 miles ÷ 48 mph =

6 hours
6 0
3 years ago
Morre Math HARDDDDDDDD
Dafna11 [192]

Answer:

the person above is right it's 4.5 units

give them the crown

7 0
2 years ago
What is the quotient of 4.8 divided by -0.4
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Answer:

the quotient is keeping batman alive

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2 years ago
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