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Snezhnost [94]
3 years ago
7

Solve this system of equations using the addition method.

Mathematics
1 answer:
Zolol [24]3 years ago
4 0
4a-5b=7; 4a+5b=17
Solve for a and then solve for b or either or of the variable
4a-5b=7
4a=7+5b
A=(7+5b)/4 then plug into a for 4a+5b=17
4((7+5b)/4)+5b=17
7+5b+5b=17
7+10b=17
10b=17-7
10b=10
B=1 then plug into solved a=(7+5b)/4
A=(7+5(1))/4
A=(7+5)/4
A=12/4
A=3
A=3;b=1
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Write an algebraic expression for the word phrase six times a lenght w?
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Six times a length (w) is 6w
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5 0
4 years ago
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
4 years ago
What is m-a = n+p, for a
sergeinik [125]

Answer:

A=m-n-p

Step-by-step explanation:

So solve for a, we have to isolate it on one side, so -a=n+p-m. So a=m-n-p

5 0
3 years ago
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Leticia is paid $672 weekly. What is her annual salary?
denpristay [2]

Answer: b: 34,944

Step-by-step explanation:

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3 years ago
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What is an equation of the line that is parallel to y=9−5x and passes through (0, 8) ?
TEA [102]

Answer:

y = -5x Y8  

Step-by-step explanation:

Parallel lines have the same slope.

Your function is

y = 9 − 5x = -5x+ 9

slope = -5

The parallel line

The line must have slope = -5 and include (0, 8), so

8 = -5×(0) + b

8 = 0 + b

b = 8

The equation for the parallel line is

y = -5x + 8

In the diagram below, the red line is the graph of y = 9 -5x.

The parallel blue line is the graph of y = -5x + 8.

8 0
3 years ago
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