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Brrunno [24]
2 years ago
13

The entry ticket to a local football game costs $10 for an adult and $5 for a child. A group of 100 people paid an entry fee of

$710. How many adults and how many children were there in this group?
Mathematics
1 answer:
-Dominant- [34]2 years ago
8 0

Answer: Adults = 58

Children = 42

Step-by-step explanation:

Let adults be denoted as a

Let Children be denoted as c

a + c = 100 ...... i

10a + 5c = 710 ...... ii

Multiply I by 5

Multiply ii by 1

5a + 5c = 500 ...... iii

10a + 5c = 710 ...... iv

Subtract iii from iv

5a = 210

a = 210/5

a = 42

Since a + c = 100

c = 100 - 42 = 58.

Adults = 58

Children = 42

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A married couple together earns 110,000 a year. The wife earns 16,000 less than twice what her husband earns.what does the husba
Alex17521 [72]
If we place what the husband earns as h and what the wife earns as w, we can begin...
w + h = 110000

but w = 2h - 16000

We can turn it into..

2h - 16000 + h = 110000

Which we can then combine into..

3h - 16000 = 110000

Add 16000 and..

3h = 126000

Divide by three...

h = 42000

(nice)

The husband earns 42,000$ a year

Bonus: The wife then earns 68,000$

42,000 (or h) + 68,000 (or w) = 110,000

Because this is the original equation, we are correct.



4 0
3 years ago
What percent of 95 is 74
Softa [21]
74 is what percent of 95?


74 is P% of 95


Equation: Y = P% * X


Solving our equation for P

P% = Y/X

P% = 74/95

p = 0.7789

Convert decimal to percent:

<span>P% = 0.7789 * 100 = 77.89%
</span>

Hope I helped!

Let me know if you need anything else!

~ Zoe
7 0
3 years ago
30 points<br> can somebody please help me<br> question below
Inessa05 [86]

Find the total number of dogs by adding each day:

Total dogs = 23

Percent of dogs: Divide the number of dogs by the total number of patients:

= 23 / 50 = 0.46 x 100 = 46%

Use the given formula to find the standard error:

Standard error = √(0.46*(1-0.46)/50) = 0.07

90%: Find Z value for 90% ( 1.645) multiply by SE:

1.645 x 0.07 = 0.115 = 0.12

Now add and subtract that value from the Percent from above:

46 + 12 = 58%

46-12 = 34%

Answer (34%, 58%)

95%: Find Z value for 95% ( 1.96) multiply by SE:

1.96 x 0.07 = 0.137 = 0.14

Now add and subtract that value from the Percent from above:

46 + 14 = 60%

46-14 = 32%

Answer (32%, 60%)

5 0
3 years ago
Y + 5 = -4(x + 1)<br><br> Please help and explain! Thank you :)
lana [24]

Answer:

y= -4x-9

Step-by-step explanation:

first you distribute the -4:    y+5= -4x-4

then you subtract 5 from both sides to isolate the variable but keep the equation balanced:     y= -4x-9

4 0
3 years ago
Read 2 more answers
Expand &amp; simplify <br> 5<br> (<br> p<br> +<br> 6<br> )<br> −<br> 5<br> (<br> p<br> −<br> 2<br> )
HACTEHA [7]

Answer: 0p + 40

Step-by-step explanation:

5p + 30 - 5p + 10

0p + 40

8 0
2 years ago
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