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I am Lyosha [343]
3 years ago
13

Blank plus 1/2 equals 8/10​

Mathematics
1 answer:
Eduardwww [97]3 years ago
8 0

Answer:

8/5

Step-by-step explanation:

Hope This Helps;)

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After Simon donated four books to the school library he had 28 books left. How many books did Simon have to start with?
andrew11 [14]

Answer:

32

Step-by-step explanation:

28+4

4 0
3 years ago
Read 2 more answers
Find an equation of the line passing through the pair of points. Write the equation in the form Ax +By = C.
Alexxandr [17]

9514 1404 393

Answer:

  5x -y = -37

Step-by-step explanation:

One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:

  A = Δy = y2 -y1 = 2 -(-3) = 5

  B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1

Then the constant C can be found using either point.

  5x -y = 5(-7) -2 = -37

The equation of the line is ...

  5x -y = -37

_____

<em>Additional comment</em>

This approach comes from the fact that the slope of a line is the same everywhere.

  \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\Delta y}{\Delta x}\\\\\Delta x(y-y_1)=\Delta y(x-x_1)\qquad\text{cross multiply}\\\\\Delta y(x-x_1)-\Delta x(y-y_1)=0\qquad\text{subtract y term}\\\\\Delta y(x) -\Delta x(y) = \Delta y(x_1)-\Delta x(y_1)\qquad\text{Ax+By=C form}

The "standard form" requires that A be positive, so we chose point 1 and point 2 to make sure that was the case.

5 0
3 years ago
the Honda Civic would cost $15 plus $0.50 per mile driven. the Ford Focus would cost $25 plus $0.25 per mile driven. how many mi
BlackZzzverrR [31]

m - mile per driven

m = 40

Both of the cars would be the same.

7 0
4 years ago
Read 2 more answers
In the past, the mean running time for a certain type of flashlight battery has been 9.7 hours. The manufacturer has introduced
Nadya [2.5K]

Answer:

Step-by-step explanation:

From the information given:

\mathbf{H_o: \mu = 9.7 \ hours}

\mathbf{H_1: \mu > 9.7 \ hours}

The type 1 error is rejecting \mathbf{H_o} when

The meaning of Type 1 error is rejecting the claim that the mean running time is 9.7 hours when actually the mean running time is greater than 9. 7 hour.

6 0
3 years ago
how many gallons of 80% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 70% antifr
ololo11 [35]
Let's say we'll mix "x" amount of the 80% solution, how much antifreeze is in it? well is just 80% of antifreeze, and the rest is something else.... what's 80% of "x"? so is (80/100)*x, or 0.8x.

likewise, the mixture will be a 70% solution, and let's say it adds up to "y" amount, so how much antifreeze is in it? well (70/100) * y or 0.7y.

\bf \begin{array}{lccclll}&#10;&\stackrel{gallons}{amount}&\stackrel{\%}{quantity}&\stackrel{antifreeze}{quantity}\\&#10;&------&------&------\\&#10;\textit{80\% sol'n}&x&0.80&0.8x\\&#10;\textit{10\% sol'n}&100&0.10&10\\&#10;------&------&------&------\\&#10;mixture&y&0.70&0.7y&#10;\end{array}

so whatever "x" is, we know that x + 100 = y.

and we know that 0.8x + 10 = 0.7y.

\bf \begin{cases}&#10;x+100=\boxed{y}\\&#10;0.8x+10=0.7y\\&#10;----------\\&#10;0.8x+10=0.7\left( \boxed{x+100} \right)&#10;\end{cases}&#10;\\\\\\&#10;0.8x+10=0.7x+70\implies 0.8x-0.7x=70-10\implies 0.1x=60&#10;\\\\\\&#10;x=\cfrac{60}{0.1}\implies x=600
6 0
3 years ago
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