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Ymorist [56]
4 years ago
6

Find two consecutive odd integers such that 53 more than the lesser is four times the greater

Mathematics
1 answer:
viva [34]4 years ago
4 0
Let x and x+2 the 2 odd consecutive numbers. Now translate from English language to Math's:
x+53 = 4(x + 2), Expand :
x+53 = 4x + 8
53 - 8 = 4x - x

45 = 3x   and x = 15. So the 1st is 15 and the 2nd is 17

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The answer is "Design B bulbs will likely last longer than design A bulbs."

The box in a box plot represents the middle 50% of the data. The box for the design B bulbs is farther out than the box for the design A bulbs. Therefore, design B bulbs last longer on average than design A bulbs.
7 0
3 years ago
Use a translation rule to describe the translation of ABC that is 6 units to the right and 10 units down.​
vesna_86 [32]

Answer:

(x, y ) → (x + 6, y - 10 )

Step-by-step explanation:

6 units right is + 6 in the x- direction

10 units down is - 10 in the y- direction

the translation rule is

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6 0
3 years ago
Help! Select all of the potential solution(s) of the equation 2log5x = log54.
Nastasia [14]

Answer:

  • x = 2

Step-by-step explanation:

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7 0
3 years ago
A rectangular deck has an area of 320ft^2. the length of the deck is 4 feet longer than the width. find the dimensions of the de
Digiron [165]
A = L * W
A = 320
L = W + 4

320 = W(W + 4)
320 = W^2 + 4W
W^2 + 4W = 320
W^2 + 4W + 4 = 320 + 4
(W + 2)^2 = 324
W + 2 = (+-) sqrt 324
W = -2 (+-) 18

W = -2 + 18 = 16 ft <== this is the width
W = -2 - 18 = -20....not this one because it is negative

L = W + 4
L = 16 + 4
L = 20 ft <=== this is the length

in summary...the width is 16 ft and the length is 20 ft 

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The formula for the circumference, C, of a circle with given radius, r, is C=2nr. What is the circumference of a circle with rad
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