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Ratling [72]
3 years ago
14

Three pigs entered a race around a track. Piggly takes 12 minutes to run one lap. Piglet takes 9 minutes to run one lap. And it

takes wiggly 16 minutes to run one lap. If all three pigs bevin the race at the same time, how many minutes will it take for all three pigs cross the finish line at the same time
Mathematics
1 answer:
Korolek [52]3 years ago
7 0

144 Minutes


The least common multiple for 9 12 and 16 is 144

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Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 In which section of the graph does the actual solution
lora16 [44]
We need to assign a value for x to check the possible values of y. 1st inequality: y < -0.75x X = - 1 ; y < -0.75(-1) ; y < 0.75 possible coordinate (-1,0.75) LOCATED AT THE 2ND QUADRANT X = 0 ; y < -0.75(0) ; y < 0 possible coordinate (0,0) ORIGIN X = 1 ; y < -0.75(1) ; y < -0.75 possible coordinate (1,-0.75) LOCATED AT THE 4TH QUADRANT 2nd inequality: y < 3x -2 X = -1 ; y < 3(-1) – 2 ; y < -5 possible coordinate (-1,-5) LOCATED AT THE 4TH QUADRANT X = 0 ; y < 3(0) – 2 ; y < -2 possible coordinate (0,-2) LOCATED AT THE 4TH QUADRANT X = 1 ; y < 3(1) – 2 ; y <<span> 1 possible coordinate (1,1) LOCATED AT THE 1ST QUADRANT The actual solution to the system lies on the 4TH QUADRANT. </span>
3 0
3 years ago
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If total liabilities are 1,000 and total assets are 8000 owner's e q u i t y must be
olga_2 [115]
Total equity is equal to assets - liabilities.

Therefore,

8000 - 1000 = 7000

The owner's equity is $7,000.
5 0
3 years ago
How do you find the square root of a negative number? Explain the process
IrinaK [193]

Answer:

A. \sqrt{-64} = 8i

B. 8i + 5i = 13i

C.  8i - 5i = 3i

D. 8i x 5i = -40

Step-by-step explanation:

A. The square root of any negative number would lead to a complex number. Complex numbers are number which consist a complex part denoted by i.

-1 = i^{2}

\sqrt{-1} = \sqrt{i^{2} } = i

Example: 1. What is the square root of -64?

square root of -64 = \sqrt{-64}

                         = \sqrt{-1 *64}

                         = \sqrt{-1} x \sqrt{64}

                         = i x 8

                         = 8i

\sqrt{-64} = 8i

2. find the square root of -25.

\sqrt{-25} = \sqrt{-1*25}

          = 5i

B. To add two complex numbers, they are considered as algebraic expressions.

Example, the sum of 8i and 5i can be determined as;

                 8i + 5i = 13i

C. To add two complex numbers, they are considered as algebraic expressions.

Example, the subtraction of 8i and 5i can be determined as;

                 8i - 5i = 3i

D. To multiply two complex numbers, the complex part is considered.

Example, determine the product of 8i and 5i.

8i x 5i = 8 x 5 x i x i

          = 40i^{2}

         = -40                (∵      i^{2} = -1)

8i x 5i = -40

6 0
4 years ago
A handicap camp ramp is located at the back of the building. The ramp has a 55 degree incline. The height of the ramp is 15m. Ho
tia_tia [17]

Answer:

18.3 m

Step-by-step explanation:

Sin(55) = 15/X

X = 18.31161883

3 0
3 years ago
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What is the vertex of f(x)=x2−8x+15 ?
mr_godi [17]

Answer:

(4,-1)

i strongly believe that is the answer, pls mark as brainlist

4 0
3 years ago
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