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horsena [70]
3 years ago
6

Find the value of x. A. 6 B. 3 C. 5 D. 2

Mathematics
1 answer:
storchak [24]3 years ago
6 0

\\ \sf\longmapsto \dfrac{AK}{DK}=\dfrac{CK}{BK}

\\ \sf\longmapsto \dfrac{14}{12}=\dfrac{4x+1}{3x+3}

\\ \sf\longmapsto \dfrac{7}{6}=\dfrac{4x+1}{3x+3}

\\ \sf\longmapsto 7(3x+3)=6(4x+1)

\\ \sf\longmapsto 21x+21=24x+6

\\ \sf\longmapsto 24x-21x=21-6

\\ \sf\longmapsto 3x=15

\\ \sf\longmapsto x=\dfrac{15}{3}

\\ \sf\longmapsto x=5

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Alan has twice as many dimes as he has quarters and 10 more nickels than dimes. The remaining 35 coins are pennies. How many of
zaharov [31]

Answer:

He has 3 quarters , 6 dimes and 16 nickles

Step-by-step explanation:

∵ Dimes is d , Quarter is q , nickels is n and pennies is p

∵ Quarter = 25 cents

∵ Dime = 10 cents

∵ Nickle = 5 cents

∵ Penny = 1 cent

∵ The remaining 35 coins are pennies ⇒ 35 cents

∵ He has $2.50 = 2.50 × 100 = 250 cents

∴ The value of quarters , dimes and nickels = 250 - 35 = 215 cents

∴ 25q + 10d + 5n = 215 ⇒ (1)

∵ d = 2q  

∴ q = 1/2d ⇒ (2)

∵ n = 10 + d ⇒ (3)

Substitute (2) and (3) in (1)

∴ 25(1/2 d) + 10d + 5(10 + d) = 215

∴ 12.5d + 10d + 50 + 5d = 215

∴ 27.5d = 215 - 50

∴ 27.5d = 165

∴ d = 165 ÷ 27.5

∴ d = 6

∴ q = 1/2 (6) = 3

∴ n = 10 + 6 = 16

∴ He has 3 quarters , 6 dimes and 16 nickles

7 0
3 years ago
Read 2 more answers
About 10% of people are left-handed. If there are 480 people in a movie theater, about how many of them are likely to be left-ha
Sauron [17]

Answer: 48

Step-by-step explanation: 10% of 480 would be 48 because your finding 10% of 480. for example: 10% of 100 would be ten because if you multiplied 10 times 10 it would be 100.

3 0
3 years ago
Each of 8 ladies randomly chooses a woolen overcoat from 14 different styles. What is the probability that at least 2 ladies cho
Sophie [7]

Answer: 0.894

Step-by-step explanation:

5 0
3 years ago
Helpppppppppppppppppp
makkiz [27]

For this case we have the following system of equations:

8x-9y = -122\\-8x-6y = -28

To solve, we add both equations:

8x-8x-9y-6y = -122-28\\-15y = -150\\y = \frac {-150} {- 15}\\y = 10

We find the value of "x":

8x = -122 + 9y\\x = \frac {-122 + 9y} {8}\\x = \frac {-122 + 9 (10)} {8}\\x = \frac {-122 + 90} {8}\\x = \frac {-32} {8}\\x = -4

The solution is (-4,10)

ANswer:

Option C

5 0
3 years ago
Need help plz show work
patriot [66]
$28 x 7 days = $196/week
$196 - $108 = $88
$88 ÷ 0.14 = 628.5 mi

He would need to drive 628.5mi before the Avis price is the same as the Hertz price.
6 0
4 years ago
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