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ira [324]
3 years ago
14

70% of a number is 98.

Mathematics
1 answer:
Anni [7]3 years ago
8 0
Set up the proportion:
70% - 98
90% - x

\frac{70\%}{90\%}=\frac{98}{x} \\
\frac{7}{9}=\frac{98}{x} \\
\frac{7}{9}x=98 \\
x=98 \times \frac{9}{7} \\
x=14 \times 9 \\
x=126

The answer is D. 126.
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galina1969 [7]

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Answer:

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  • end table: $140

Step-by-step explanation:

If we let x and y represent the costs of a lamp and end table, respectively, the two purchases can be written as ...

  3x +2y = 520

  2x -y = 20

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These equations can be solved many ways. If we use "elimination", we can add twice the second equation to the first to eliminate y:

  (3x +2y) +2(2x -y) = (520) +2(20)

  7x = 560 . . . . simplify

  x = 80 . . . . . . divide by 7

  y = 2x -20 = 2(80) -20 = 140

The cost of a lamp is $80; the cost of an end table is $140.

6 0
3 years ago
The common difference of an arithmetic sequence is -5. If a12 is 22, what is a1?
Ne4ueva [31]

Answer:

77.

Step-by-step explanation:

an = a1 + (n-1)d    where d is the common difference.

a12 = a1 + 11d

22 = a1 +11(-5)

22 = a1 - 55

a1 = 22 + 55

a1 = 77.

4 0
3 years ago
Convert a distance of 42 feet into yards.
dybincka [34]

Answer:

14 Yards

Step-by-step explanation:

8 0
3 years ago
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4 0
3 years ago
In the previous problem, you found the perimeter of a reduced triangle. Explain how you found the new perimeter using proportion
Anna007 [38]

Answer:

Step-by-step explanation:

If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b

(.perimeter ABC) /( perimeter DEF) =    (AB)/(DE)

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24/perim DEF = 6/9

Cross multiplication

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216 = 6*(perimeter of DEF

Divide both sides by 6

36 = DEF

Triangule with perimeter 24 (find new perimeter)

The perimeter of the new triangle using proportion  6/9 is  36

3 0
3 years ago
Read 2 more answers
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