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ipn [44]
3 years ago
6

find three consecutive integers such that the sum of twice he smallest and 3 times the largest is 126.

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0
a,a+1,a+2\ \ -\ three\ consecutive\ integers\\\\
2a+3(a+2)=126\\\\
2a+3a+6=126\\\\
5a+6=126\ \ \ |Subtract\ 6\\\\
5a=120\ \ \ |Divide\ by\ 5\\\\
a=24\\\\Numbers\ are:\ 24,25,26.
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Find the distance between the points (8, – 7) and ( – 4,9). Hint: Use the Pythagorean theorem
Sedaia [141]
8+4=12
9+7=16
12^2=144
16^2=256
144+256=400
square root of 400 is 20

therefore the distance from (8, -7) to (-4,9) is 20.
6 0
3 years ago
Edwina measured the length of this swimming pool by drawing similar triangles as shown. What is the best estimate of p, the leng
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Answer:

Option C. p=33\ ft

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

Using proportion

\frac{p}{12}=\frac{22}{8}\\ \\p=12*22/8\\ \\p=33\ ft

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3 years ago
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Can someone please answer this question answer it correctly and show work please
mrs_skeptik [129]

Answer:

$1,216

Step-by-step explanation:

Costs for Handsome Homes fabric

Area (sq. ft.)   Cost (dollars)

        (x)                  (y)

       250               475

       500               950

       750               1,420

       1000             1,900

If you divide any y-value by its corresponding x-value, the quotient will be 1.9

This means that each square foot costs $1.90 at Handsome Homes

Discount Diggers = 20% per sq. ft. less than Handsome homes

Discount Diggers = $1.90 - 20%

Discount Diggers = $1.90(100 - 20%)

Discount Diggers = $1.90(0.8)

Discount Diggers = $1.52

Now that it is known how much 1 square foot of fabric costs at Discount Diggers, we need to find how much 800 square feet of fabric costs.

$1.52 = 1 sq. ft.

$1.52(800) = 800 sq. ft.

$1,216

800 square feet of landscape fabric at Discount Diggers costs $1,216

Hope this helps :)

5 0
3 years ago
6. Polynomial Division<br> Divide. (3x4 – 3x3 – 6x –10) ÷ (x – 2)
vovangra [49]

Answer:

Quotient = -6

Remainder = -19

Step-by-step explanation:

(3*4 - 3*3 - 6x-10) / (x-2)

= (12 - 9 - 10 - 6x) / (x-2)

= (-6x -7) / (x-2)

Quotient = -6

Remainder = -19

7 0
3 years ago
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