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Nikolay [14]
4 years ago
11

Solve 7x + 6 < 3(x - 2).

Mathematics
1 answer:
saul85 [17]4 years ago
5 0

7x+6 < 3(x-2)\ \ \ \ |\text{use distributive property}\\\\7x+6 < (3)(x)-(3)(2)\\\\7x+6 < 3x-6\ \ \ \ |-6\\\\7x < 3x-12\ \ \ \ |-3x\\\\4x < -12\ \ \ \ |:4\\\\\boxed{x < -3}\\\\Answer:\ \{x|x

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An electronics store received two shipments of radios. Of the 250 radios in the first shipment, exactly 6% were damaged. In the
nataly862011 [7]

Answer:

Total number of not damaged = 451

C. 451

Step-by-step explanation:

In the first shipment, 6% of the 250 radios where damaged.

Number of damaged= 6/100 * 250

Number of damaged= 6*2.5

Number of damaged= 15 radios.

Number of not damaged= 250-15

Number of not damaged = 235 radios

In the second shipment, 4% of the radios were damaged

Let the number of second shipment= y

0.04 of y where damaged

Total number of radio damaged= 24

15 + 0.04y = 24

0.04y= 24-15

0.04y = 9

Y= 9/0.04

Y= 225

Number of radio in the second shipment= 225

Number of damaged in the second shipment= 0.04*225

Number of damaged in the second shipment= 9

Number of not damaged in the second shipment= 225-9

Number of damaged in the second shipment= 216

Total number of not damaged

= 235+216

= 451

Total number of not damaged= 451

7 0
3 years ago
On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N
Ostrovityanka [42]

Answer:

The answer should be "B" (The area of △RST is equal to the area of △LMN.)

6 0
3 years ago
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HELP! last one of the day!
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The bisector of the angle at A (call it AQ) divides the segment BC into segments BQ:QC having the ratio AB:AC. Use this fact to find x.

.. 9:15 = (2x -1):3x
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.. 30x -15 = 27x
.. 3x = 15
.. x = 5

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According to the value of x, the bisector AQ divides the triangle into two isosceles triangles: ABQ, ACQ.
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3 years ago
Lines n and m are parallel and lines s and t are parallel, as shown.
bekas [8.4K]

Answer:

60

Step-by-step explanation:

straight lines are 180

since all lines are parallel

180 - 120 = 60

6 0
3 years ago
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When using the inspection method, which number would you add to (and subtract from) the constant term of the numerator in this e
olasank [31]
If i were you, i would add one to 7x and fifteen. this gives you x^2+8x+16, a perfect square of x+4.
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3 years ago
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