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V125BC [204]
3 years ago
15

intr-o florarie sunt 840 flori:lalele trandafiri crizanteme.Stiind ca daca impartim numarul lalelelor la nr total de trandafiri

si crizanteme obtinem catul 3,restul 8 si ca nr trandafirilor este cu doi mai mare decat nr crizantemelor, sa se afle nr flori
Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0

Răspuns:

Trandafiri = 105

Lalele = 632

Crizanteme = 105

Explicație pas cu pas:

Lăsa :

Trandafiri = x

Lalea = y

Crizanteme = z

x + y + z = 840

x = z + 2

y / (z + z + 2) = 3 r 8

y / (2z + 2) = 3 restul 8

y = (2z + 2) (3) + 8

y = 6z + 6 + 8

y = 6z + 14

x = z + 2

y = 6z + 14

x + y + z = 840

Înlocuiți x și y în ecuația:

z + 2 + 6z + 14 + z = 840

8z + 16 = 840

8z = 840 - 16

8z = 824

z = 824/8

z = 103

x = z + 2

x = 103 + 2

x = 105

y = 6z + 14

y = 6 (103) + 14

y = 632

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A cash box contains $74 made up of quarters, half-dollars, and one-dollar
Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

0.25q+0.50h+1.00d=74

\displaystyle{h=\frac{3}{5}d+1}

q=4(d+h)

Then, substitute <em>q</em> in the first equation with the expression from the third equation:

0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74

Next, substitute <em>h</em> in that equation with the expression from the second equation:

\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}

2d+0.9d+1.5=74\\2.9d+1.5=74

Solve for <em>d</em>, the number of one-dollar coins:

2.9d+1.5=74\\2.9d=72.5\\d=25

Substitute 25 for <em>d</em> in the second equation to find <em>h</em>, the number of half-dollar coins:

\displaystyle{h=\frac{3}{5}d+1}

\displaystyle{h=\frac{3}{5}(25)+1}

h=15+1\\h=16

Substitute 25 for <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, the number of quarters:

q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164

Then, verify that the coins total $74:

0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

\displaystyle{h=\frac{3}{5}d+1}

\displaystyle{16=\frac{3}{5}(25)+1}

16 = 15 + 1\\16 = 16\\\text{Check.}

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}

6 0
3 years ago
Please help meee!!!!
Grace [21]

Answer:X=-15

Step-by-step explanation:

-4x/5=12

5x-4x/5=5x12

-4x=5x12

-4x=60

-4x/-4=60/-4

x=-15

4 0
2 years ago
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