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GalinKa [24]
3 years ago
8

Solve the following system using either linear combination or substitution. Round any answers to the hundredths place. Show all

work
x-10y=6
y=-5x-23
Mathematics
1 answer:
12345 [234]3 years ago
3 0
So if y=-5x-23 then we can plug that value in for y in x-10y=6, so it becomes

x-10(-5x-23)=6

x+50x+230=6

51x=-224

x=-4.39

plug this x value into the equation y=-5x-23

y=-5(-4.39)-23

y=21.95-23

y=-1.05
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The diameter of a wheel of a car is 30cm. If the car travels at an average speed of 13.2m/s, find the number of revolutions made
Marysya12 [62]

Answer:

Approximately 50420 revolutions (rounded to the nearest whole number.)

Step-by-step explanation:

Convert the diameter of this wheel to meters: d = 30\; \rm cm = 0.30\; \rm m.

Circumference of this wheel:

\pi \, d = \pi \times 0.30\; \rm m \approx 0.942\; \rm m.

Distance travelled in one hour:

\begin{aligned}v \cdot t &= 13.2 \; \rm m \cdot s^{-1} \times 3600\; \rm s \\ &= 47520\; \rm m\end{aligned}.

Number of revolutions required for covering that distance:

\displaystyle \frac{47520\; \rm m}{(\pi \times 0.30\; \rm m)} \approx 50420.

3 0
3 years ago
Which is equivalent to the complex number i^32?
Ksivusya [100]

Answer:

where i^2 = -1 (minus one)

So, i^2 = -1

i^4 = (i^2)^2 = (-1)^2 = -1 X-1 = 1

like ;

i^32 = (i^2)^16 = (-1)^16 =  -1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X

     = 1

Step-by-step explanation:

4 0
3 years ago
Can someone please help me figure out how to do this problem. We have tried several different ways and none of them come up as b
Ilya [14]

Answer:

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Step-by-step explanation:

Order of operations: PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)

5(9)+2(6) ÷ 3 + 5^{2}

= 45+12÷ 3 +25

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=74

8 0
3 years ago
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bulgar [2K]

Answer:

5

Step-by-step explanation:

use PEMDAS to solve

9-5=4

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4 0
3 years ago
Dwayne used 2 gallons of paint to cover 750 square feet and 5 gallons of paint to cover 1,875 square feet. How many gallons of p
Levart [38]
Dwayne would have to use 7 gallons im pretty shure.
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3 years ago
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