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Mekhanik [1.2K]
2 years ago
11

Using faucet P, you can fill a sink in 10 minutes. Faucet Q takes only 8 minutes to fill the same sink. How long will it take to

fill the sink using both faucets together?
Mathematics
1 answer:
nevsk [136]2 years ago
4 0

It would take 4.44 minutes to fill the sink using both faucets P and faucet Q together

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let t represent the time it takes to fill the sink using both faucets together, hence:

(1/10 + 1/8)t = 1

t = 4.44 minutes

It would take 4.44 minutes to fill the sink using both faucets P and faucet Q together

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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What is the multiplicative inverse of 5 in z11, z12, and z13? you can do a trial-and-error search using a calculator or a pc?
grin007 [14]

A multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m.  

1. Z_{11}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{4};
  • 5\cdot 4=20=\overline{9};
  • 5\cdot 5=25=\overline{3};
  • 5\cdot 6=30=\overline{8};
  • 5\cdot 7=35=\overline{2};
  • 5\cdot 8=40=\overline{7};
  • 5\cdot 9=45=\overline{1};
  • 5\cdot 10=50=\overline{6}.

The multiplicative inverse of 5 in Z_{11} is 9.

2.   Z_{12}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{3};
  • 5\cdot 4=20=\overline{8};
  • 5\cdot 5=25=\overline{1};
  • 5\cdot 6=30=\overline{6};
  • 5\cdot 7=35=\overline{11};
  • 5\cdot 8=40=\overline{4};
  • 5\cdot 9=45=\overline{9};
  • 5\cdot 10=50=\overline{2};
  • 5\cdot 11=55=\overline{7}.

The multiplicative inverse of 5 in Z_{12} is 5.

3.  Z_{13}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11},\overline{12}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{2};
  • 5\cdot 4=20=\overline{7};
  • 5\cdot 5=25=\overline{12};
  • 5\cdot 6=30=\overline{4};
  • 5\cdot 7=35=\overline{9};
  • 5\cdot 8=40=\overline{1};
  • 5\cdot 9=45=\overline{6};
  • 5\cdot 10=50=\overline{11};
  • 5\cdot 11=55=\overline{3};
  • 5\cdot 12=60=\overline{8}.

The multiplicative inverse of 5 in Z_{13} is 8.

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Answer:

y=-3.571

Step-by-step explanation:

To get rid of the x's make the other x cancel out the other.

5x-y=25+(-5(x+4y=-10)=-21y=75= -3.571

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The expression i determined is 10x + 6
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Answer:

Slope = 4/3x; y-intercept = -1

Step-by-step explanation:

y + 1 = 4/3x

You have to write this equation in slope-intercept form (solve for y) if you want to find the slope and y-intercept

y + 1 = 4/3x

Subtract one from both sides

y + 1 - 1 = 4/3x - 1

y = 4/3x - 1

Now that we have the equation, you can now find the slope and y-intercept

y = mx + b; m is the slope and b is the y-intercept

So for y = 4/3x - 1, the slope is 4/3x and the y-intercept is -1

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