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Gekata [30.6K]
3 years ago
6

which of the following numbers is part of the solution set for the inequality -8 greater than -4t+5 a. 13/4 or b. 2 or c 6 or d.

4
Mathematics
1 answer:
bekas [8.4K]3 years ago
7 0

The given inequality is

-8 >-4t+5

First we have to get rid of 5, and for that, we subtract 5 to both sides , that is

-8-5 > -4t

-13 > -4t

Dividing both sides by -4, to get rid of -4 from right side and on doing so, the sign of the inequality change .

\frac{13}{4}  \frac{13}{4}

Here t is greater than 13/4 ot 3.25, so the correct options are c and d .

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Suppose that y varies directly with x and y=10 when x=20. What is y when x=15
Likurg_2 [28]

Answer:

y=kx

subst y=10 and x=20 into the above

<em>1</em><em>0</em><em>=</em><em>k20</em>

<em>k</em><em>=</em><em>1</em><em>0</em><em>/</em><em>2</em><em>0</em>

<em>k</em><em>=</em><em>1</em><em>/</em><em>2</em>

<em>therefore</em><em> </em><em>relationship</em><em>:</em><em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>x</em>

<em>subst</em><em> </em><em>x</em><em>=</em><em>1</em><em>5</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>relationship</em>

<em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>(</em><em>1</em><em>5</em><em>)</em>

<em>y</em><em>=</em><em>7</em><em>,</em><em>5</em>

Step by step explanation:

  • Step 1: when they say y varies directly with x they mean<em> y is proportional to x</em>
  • step 2: so y=kx where <em>k is the constant</em>
  • step 3: is to substitute <em>y=10</em> and <em>x=20</em> into the above equation y=kx
  • step 4: you will end up with <em>10=k20</em> then divide both sides by 20 so that <em>k becomes the subject of the formula </em>
  • step 5: your answer from the above will be <em>k=10/20 </em>so the relationship is <em>y is directly proportional to 1/2 x </em>what you did here is that you substituted k for 1/2 in the equation in step 3
  • step 6: is to finally substitute x=15 into the equation <em>y=1/2x</em> to finally get your answer <em>y</em><em>=</em><em>7</em><em>,</em><em>5</em><em>.</em>
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Answer:

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Step-by-step explanation:

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musickatia [10]

Answer:

(1, 4.5 )

Step-by-step explanation:

The required point is at the midpoint of AB

Use the midpoint formula

Given A(4, 3) and B(- 2, 6 ), then

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5 0
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dimulka [17.4K]

<u>Answer:</u>

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<u>Step-by-step explanation:</u>

Given:

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Total number of coins = 250

Ratio

The questions asks for the ratio between mint condition coins to the total number of coins, so:

Mint condition coins : number of coins = 50:250

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Answer:

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Step-by-step explanation:

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