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Amiraneli [1.4K]
3 years ago
5

Restaurant has an early bird special of $7 per plate before 4 PM. The regular price after 4 PM is $9 per plate. If the restauran

t sold 93 plates and made $733, how many of those plates were early bird specials
Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer:

the early bird special plate is 52

Step-by-step explanation:

Let us assume the early bird special be x

And, regualr price be y

Now the equations are

x + y = 93

7x + 9y = 733

Now multiply by 7 in equation (1)

7x + 7y = 651

7x + 9y = 733

Now subtract these two equations

-2y = 82

y = 41

x = 93  - 41

= 52

hence, the early bird special plate is 52

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Given the diagram below with line DE║ line AC. Find BC.
Karolina [17]

Answer:

13.5

Step-by-step explanation:

In triangle ABC, DE || AC

Therefore by basic proportionality theorem:

\frac{BD}{DA} = \frac {BE}{EC} \\\\\therefore  \frac{4}{8} = \frac {BE}{9} \\\\\therefore  \frac{1}{2} = \frac {BE}{9} \\\\\therefore  BE = \frac{9}{2} \\\\\therefore BE = 4.5\\\because BC = BE + EC \\\therefore BC = 4.5 + 9\\\huge \red {\boxed {\therefore BC = 13.5}} \\

8 0
3 years ago
Boone fitnes sells gym passes in packs of 14. A competing gym, sells gym passes in sets of 20. If both sold the same number of p
sergeinik [125]
20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200

14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140

140 is the smallest number they have in common.
5 0
3 years ago
Find the value of x.
nadya68 [22]

Answer:

127 degrees

Step-by-step explanation:

1. Find the angle next to "x" using the fact that all the angles in a triangle add to 180 degrees.

180-30-97 = 53

2. Angle X and the angle that is 53 degrees are supplementary meaning they will add to 180 degrees since it's on a line

180-53=57

Hope this helped :)

3 0
3 years ago
If triangle DEF is an isosceles triangle with DE is congruent to EF, find x and the measure of each side
Rudik [331]

Step-by-step explanation:

Given that,

DE = 8x - 13

EF = 5x + 17

DF = x + 21

Also,

DE = EF

which means that,

8x - 13 = 5x + 17

8x - 5x = 17 + 13

3x = 30

x = 30/3

x = 10

Now,

DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm

EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm

DF = x + 21 = 10 + 21 = 31cm

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3 years ago
Mai invested $7000 in a money-market fund that paid 6.2% simple interest . What was the value of her account at the end of 18 mo
boyakko [2]
Depends it could be 14812 if they want total value or just the interest would be 7812
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3 years ago
Read 2 more answers
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