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Tcecarenko [31]
3 years ago
10

C + d = 60 2.5c + 1.75d = 123.75

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

  (c, d) = (25, 35)

Step-by-step explanation:

Multiply the first equation by 2.5 and subtract the second one:

  2.5(c +d) -(2.5c +1.75d) = 2.5(60) -(123.75)

  0.75d = 26.25 . . . . . . . . . simplify

  26.25/0.75 = d = 35 . . . . divide by the coefficient of d

  60 -d = c = 25 . . . . . . . . . use the first equation to find c

(c, d) = (25, 35)

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The sum of 9 and a number is twice a number plus 14. Write an equation.
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Answer:

9+x = 2y+14

Step-by-step explanation:

It says 9 plus a number, so plug in x for 'a number', and it says 'is twice a number plus 14'. Plug in '=' for is another variable for 'a number', and last but not least, just put +14 for plus 14

6 0
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What is the ratio of the number of 8 nickels to the number of 10 dimes?​
MakcuM [25]

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2/5

Step-by-step explanation:

start by 8*5 then 10 times 10 then simplify

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A person, who decided to go to weekend trip should not exceed 8 hours driving in a day. Average speed of forward journey is 60 k
Paraphin [41]
Since he must not exceed 8 hours driving in a day:
Let the distance of the picnic be = x km.

Therefore  time for forward journey  =  x / 60
Return journey                                   =  x / 50

The total trip should not exceed 8 hours.
Therefore:              x / 60 + x / 50  <= 8.      LCM = 300

Taking LCM and multiplying on both sides:
                                5x  +  6x  <=  8(300)
                                       11x    <=  2400
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5 0
3 years ago
What are the opposites of these numbers
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Would it be
1) -4.25
2) -5 1/4
3) -1/2
4) -2 1/3
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3 years ago
Thea has a key on her calculator marked $\textcolor{blue}{\bf\circledast}$. If an integer is displayed, pressing the $\textcolor
mel-nik [20]

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

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