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AVprozaik [17]
3 years ago
6

Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The

system that represents Mira’s numbers is below. 1/2x – 1/2y = 4 x + y = 18 Which two numbers did Mira pick?
a (10, 8)  b (18, 4)c (20, 16)d (40, 32)
Mathematics
2 answers:
crimeas [40]3 years ago
8 0

Answer:

Option C is correct

(20, 16)

Step-by-step explanation:

As per the statement:

Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18

System of equation is given as:

\frac{1}{2}x+\frac{1}{2}y = 18            .....[1]

x-y = 4                                           .....[2]

Multiply both sides by 2 in [1] we have;

x+y = 36             ....[3]

Add equations [2] and [3] we have;

2x = 40

Divide both sides by 2 we have;

x = 20

Substitute the value of x in [2] we have;

20-y = 4

Subtract 20 from both sides we have;

-y = -16

Divide both sides by -1 we have;

y = 16

therefore, the two numbers did Mira pick is, (20, 16)

Makovka662 [10]3 years ago
5 0

since the difference between the numbers is 4

 do subtraction for the 4 possible answers, which one has a difference of 4?

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AnnyKZ [126]
Simplify
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8 0
3 years ago
Read 2 more answers
Whats the perimiter of the following rectangle? The side says x - 2 and the bottom says 2x + 1​
irakobra [83]

Answer:

6x-2

Step-by-step explanation:

The perimeter of a rectangle is found by

P = 2(l+w)

  =2( x-2 + 2x+1)

Combine like terms

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8 0
3 years ago
A square piece of tissue paper has sides that are 12 centimeters long. What is the tissue
slega [8]

Answer:

48

Step-by-step explanation:

A square has 4 sides of equal length. 12 x 4=48

7 0
3 years ago
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With Obesity on the rise, a Doctor wants to see if there is a linear relationship between the Age and Weight and estimating a pe
Romashka [77]

Answer:

112.569 ( D )

Step-by-step explanation:

Applying the estimated Regression Equation

y = b1X1 + b2X2 + a

b1 = ((SPX1Y)*(SSX2)-(SPX1X2)*(SPX2Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 596494.5/635355.88 = 0.93884

b2 = ((SPX2Y)*(SSX1)-(SPX1X2)*(SPX1Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 196481.5/635355.88 = 0.30925

a = MY - b1MX1 - b2MX2 = 149.25 - (0.94*61.31) - (0.31*193.88) = 31.73252

y = 0.939X1 + 0.309X2 + 31.733

For x1 ( age ) =39, and  x2(weight) =143

y = (0.93884*39) + (0.30925*143) + 31.73252= 112.569

where

Sum of X1 = 981

Sum of X2 = 3102

Sum of Y = 2388

Mean X1 = 61.3125

Mean X2 = 193.875

Mean Y = 149.25

attached is the Tabular calculation of the required values needed for estimated regression equation

8 0
3 years ago
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Answer:

Step-by-step explanation:

The answer is D. Hope that helps, so sorry if I'm wrong

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2 years ago
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