a diagonal shortcut across an empty rectangular lot is 97 feet . the lot is 72 feet long , what is the other dimension of the lot

Answers

Answer 1

Answer: A² + B² = C²

72² + B² = 97²

B² = 4225

B = √4225

B = 65 ft

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Increase 120cm by 24%

Answers

$120\cdot24\%=120\cdot0.24=28.8\n\n120+28.8=\boxed{148.8}$

For the following system if you isolated X in the second equation to use the substitution method what expression would you substitute into the first equation? 2x+y= 8
-х – Зу = -12

A. зу + 12
B.-3y + 12
C.зу – 12
D.-3y - 12

Answers

Option A. зу + 12 is the right answer

Step-by-step explanation:

The substitution method consists of finding the value of a variable from one equation and then putting it into another equation to find the value of other variable.

Given equations are:

$2x+y=8\n-x-3y=-12$

We have to isolate x in the 2nd equation

$-x-3y=-12$

Multiplying equation by -1

$x+3y=12$

Subtracting 3y from both sides

$x+3y-3y=12+3y\nx=12+3y$

Hence,

Option A. зу + 12 is the right answer

Keywords: linear equations, Variables

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The table displays the distribution of blood types A, B, AB, and O to the presence of the Rh factor that is either present (Pos.) or absent (Neg.). A 6-column table has 3 rows. The first column has entries negative, positive, total. The second column is labeled A with entries .07, .33, .40. The third column is labeled B with entries .02, .09, .11. The fourth column is labeled AB with entries .01, .03, .04. The fifth column is labeled O with entries .08, .37, .45. The sixth column is labeled Total with entries .18, .82, 1.0. Use the information in the two-way table to complete the statement. The probability that a person has a positive Rh factor given that he/she has type O blood is percent. There is a greater probability for a person to have a than a person to have a positive Rh factor given type O blood

Answers

Answer:

The probability that a person has a positive Rh factor given that he/she has type O blood is 82

There is a greater probability for a person to have a positive Rh factor given type A blood

Step-by-step explanation:

Answer:

positive Rh factor given type A blood

Step-by-step explanation:

have a great day!

$126 to $150 find the percent change

Answers

Initial cost = $126
Final cost = $150
Then
Amount of change = (150 - 126) dollars
   = 24 dollars
Then
Percentage change = (24/126) * 100
   = 2400/126 percent
   = 19.05 percent
So from the above deduction we can easily conclude that the percentage change is 19.05%. I hope the procedure is simple enough for you to easily understand. You can generally use this method for solving similar kind of problems in future without requiring any kind of help from outside.

$150 - $126= $24

$24/ $126* (100/100)= 19.05%

The percent change is 19.05%.

Which expression is the lcd of these fractions 4/x^2y 20/xy

Answers

LCD of    4 and 20
   (x^2)y xy

Without any mathematical operations involved, ask yourself how many common variables are in the denominators. x^2 is the same as (x)(x)

so we have 4    and 20
(x)(x)(y)    (x)(y)

So what we have in common is one (x) and one (y).

The LCD is xy

The answer is x^2y. i just took this quiz and this is 100% the correct answer!

Sara's savings account balance changed by -$34 one week and by -$67 the next week .Which amount represents the greater change?