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lesya [120]
3 years ago
11

A contest gives out prizes for first, second, and third place. First place is $500 more than double third place. Second place is

$400 less than first place. All together, $1850 is given out in prizes. How much is each prize worth?
Mathematics
1 answer:
topjm [15]3 years ago
5 0

9514 1404 393

Answer:

  1. $1000
  2. $600
  3. $250

Step-by-step explanation:

Let t represent the third-place prize value. Then the first place prize has a value of 2t+500, and the second-place prize is 2t+100. The total value of the three prizes is ...

  t +(2t+500) +(2t+100) = 1850

  5t +600 = 1850

  5t = 1250

  t = 250 . . . . . . . . . . . third place prize

  2t +500 = 1000 . . . . first place prize

  1000 -400 = 600 . . .second place prize

The prizes for 1st, 2nd, and 3rd places are $1000, $600, and $250, respectively.

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Ahat [919]

Answer:

2/5 bucket

Step-by-step explanation:

1/2 and 3/4 are equal. So 2/5 is wrong.

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7 0
3 years ago
(3x-4)/(14)=(9)/(10) Solve the proportion. Round to the tenths
____ [38]

The value of "x" is 5.5

<em><u>Solution:</u></em>

Given that we have to solve the proportion

\frac{3x - 4}{14} = \frac{9}{10}

We can solve the above given proportion for "x" by cross multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable "x"

\rightarrow \frac{3x - 4}{14} = \frac{9}{10}\\\\\rightarrow 10(3x - 4) = 14 \times 9\\\\\rightarrow 30x - 40 = 126\\\\\rightarrow 30x = 126 + 40\\\\\rightarrow 30x = 166\\\\\rightarrow x = 5.533

On rounding to nearest tenth we get 5.5

Thus value of "x" is 5.5

3 0
4 years ago
Given the diagram, a supplement to ∠ABC could be<br><br> ∠BDC<br> ∠DAB<br> ∠ADC<br> ∠BAC
Zina [86]

Answer:

Supplement to ∠ABC: ∠DAB acts as a possible supplement

Step-by-step explanation:

There are two approaches to this problem:

1. We can identify an angle by it's measure such that it adds to 180° when added to the m∠ABC

2. As this shape is a quadrilateral, we can tell that two adjacent angles are supplementary to one another, and thus can be identified as the supplement to ∠ABC

For the simplicity, lets take the second method into consideration. We see that ∠ABC is adjacent to the two angles - ∠BCD, ∠BAD. These angles can be rewritten as such: ∠DCB, ∠DAB. And, as we can see from the options, ∠DAB is one of them that may act as a supplement. Shall we check?

The m∠ABC is 110° (degrees) so that it's claimed supplement, ∠DAB should be 70° as to satisfy the first condition of adding to 180°. And, we can see from the diagram that 40° + 30° = 70° so that both "approaches" are met!

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3 years ago
Help please me thanks
Aliun [14]
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7 0
4 years ago
Hey Friends!! Wanna talk and chill?
Ivan

Answer:

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Step-by-step explanation:

8 0
3 years ago
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