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Elden [556K]
3 years ago
14

Solve. Fill in the table for three consecutive even integers.

Mathematics
1 answer:
Andreyy893 years ago
3 0

Answer:

1212

Step-by-step explanation:

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A coin bank has 250 coins dimes and quarters worth 39.25 how many of each type of coins are there?
Maurinko [17]
Set up a system of equations.

0.10d + 0.25q = 39.25
d + q = 250

Where 'd' represents the number of dimes, and 'q' represents the number of quarters.

d + q = 250

Subtract 'q' to both sides:

d = -q + 250

Plug in '-q + 250' for 'd' in the 1st equation:

0.10(-q + 250) + 0.25q = 39.25

Distribute 0.10:

-0.10q + 25 + 0.25q = 39.25

Combine like terms:

0.15q + 25 = 39.25

Subtract 25 to both sides:

0.15q = 14.25

Divide 0.15 to both sides:

q = 95

Now plug this into any of the two equations to find 'd':

d + q = 250

d + 95 = 250

Subtract 95 to both sides:

d = 155

So there are 95 quarters and 155 dimes.
8 0
3 years ago
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What is 2/9 simplified?
zavuch27 [327]
2/9 is already simplified but it’s decimal form is
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0.2
4 0
3 years ago
Julio invested $2,000 in a simple interest account for 3 years.She had earned $150 in interest by the end. What is the simple in
german
The formula is
R=I/pt
R interest rate?
I interest earned 150
P principle 2000
T time 3 years
R=150÷(2,000×3)
R=0.025 × 100
R=2.5%

Hope it helps!
4 0
3 years ago
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Solve for x in the given interval.<br><br> sec x= -2√3/3, for π/2 ≤x≤π
drek231 [11]

Answer:

b. x=\frac{5\pi}{6}

Step-by-step explanation:

The given function is

\sec x=-\frac{2\sqrt{3} }{3},\:\:for\:\:\frac{\pi}{2}\le x \le \pi

Recall that the reciprocal of the cosine ratio is the secant ratio.

This implies that;

\frac{1}{\cos x}=-\frac{2\sqrt{3} }{3}

\Rightarrow \cos x=-\frac{3}{2\sqrt{3} }

\Rightarrow \cos x=-\frac{\sqrt{3}}{2}

We take the inverse cosine of both sides to obtain;

x=\cos^{-1}(-\frac{\sqrt{3}}{2})

x=\frac{5\pi}{6}

4 0
3 years ago
The cost of oranges varies directly as the number of oranges sold. If 8 oranges cost $10.40, how many oranges can be bought for
alexdok [17]

Answer:

26

Step-by-step explanation:

if you can get 8 oranges for 10.40 then divide 10.40 by 8. you can get each orange for 1.3. you need to know how many oranges you can get for 33.8 so divide that by 1.3 and you get 26

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3 years ago
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