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Kryger [21]
3 years ago
9

Use the distributive property to write the following expression as an equivalent algebraic expression.

Mathematics
1 answer:
ladessa [460]3 years ago
5 0
D

-2(-4+c)
-2 x -4= 8
-2 x c= -2c
8-2c
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Only 8 and 9 help me
lakkis [162]
For 8, 15.25*18=274.5, 274.5/2= 137.25 or 137 1/4
for 9, 11*13=143, 143/2= 71.5 or 71 1/2
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3 years ago
An office supply store recently sold a black printer ink cartridge for $17.99 and a color printer ink cartridge for $20.99. At t
UNO [17]

Answer:

40 black ink cartridges and 19 colored ink cartridges

Step-by-step explanation:

Let b represent the number of black printer ink cartridges sold. Let c represent the number of color printer ink cartridges sold.

Set up a system of equations:

\displaystyle\\\begin{cases}b+c=59\\17.99b+20.99c=1,118.41\end{cases}

b+c=59\implies b=59-c

Substitute:

\displaystyle\\17.99(59-c)+20.99c=1,118.41\\\implies c=\boxed{19}

\implies b+19=59\implies b=\boxed{40}

⇒ 40 black ink cartridges, 19 colored ink cartridges (ans)

8 0
2 years ago
What is the tip for a bill that costs $80.50 at a 15% tip rate?
natali 33 [55]
Your tip for a bill that costs $80.50 at a 15% tip rate will be $12.06
6 0
3 years ago
The hypotenuse of a 45°-45°-90° triangle measures units.
-Dominant- [34]

Answer:

7 units

Step-by-step explanation:

In an isosceles right triangle, the hypotenuse is √2 times the leg length. Then ...

... 7√2 = leg·√2

... 7 = leg . . . . . . . divide both sides by √2

_____

<em>Comment on isosceles right triangle</em>

If the legs are both length 1, the Pythagorean theorem tells us ...

... hypotenuse² = 1² +1² = 2

... hypotenuse = √2 . . . . . . . . . square root both sides of the equation

This result can be scaled by any multiplier you like. In this problem, the scale factor is 7, making the legs 7 and the hypotenuse 7√2.

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4 years ago
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