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dalvyx [7]
3 years ago
14

The admission fee at an amusement park is $1.50 for children and $4.00 for adults. On a certain day, 304 people entered the park

, and the admission fees collected totaled $856. Let x be the number of children that were admitted and let y be the number of adults that were admitted.?
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0

Answer:

x = 144 children

y = 160 adults

Step-by-step explanation:

We have parameters already defined. Number of children that entered is x while number of admitted adults is y.

Since the total number of people admitted was 304, this means:

x + y = 304

Total fees for that day was 856

Mathematically:

1.5x + 4y = 856

From the first equation, we can say y = 304 - x

We then substitute this into the second equation:

1.5x + 4(304 - x) = 856

1.5x + 1216 - 4x = 856

1216-856 = 4x-1.5x

2.5x = 360

x = 360/2.5 = 144

Since y = 304 - 144

y = 160

The number of children admitted was 144 and the number of adult is 160

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What is the length of bd
NikAS [45]

Answer:

B

Step-by-step explanation:

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We need to find the positive difference in their x coordinates and y coordinates.

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The difference in y coordinates: 8

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3 0
3 years ago
There are n apples in a box; this is 3/7 of all the fruits in it. How many fruits are there in the box? (n=21)
Morgarella [4.7K]

Answer:

49

Step-by-step explanation:

n is 3/7 of total fruit

n=21 apples

Here they are just telling us that the apples make up a total of 3/7 percent of the total fruit in the box. So to find the total amount of fruit from this information we just simply take the n number of apples and divide that by the percent that it represents. So basically just this;

n=21 and (n)/(3/7)=total fruit

(21)/(3/7)=21*7/3=147/3=49 total fruit and 21apples make up (3/7)% of the total fruit in the box.

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4 0
3 years ago
Slope : - 9/7 point : ( -7,4 )
dolphi86 [110]
To form an equation with the given information, we use the formula :

y = mx + b, m being the slope and b being the y-intercept.

Since it is given that the slope is -9/7, we substitute m with -9/7.

y = -9/7x + b

To find b, we will substitute the known coordinates into the equation :
At point (-7 , 4), x = -7, y = 4

4 = -9/7 (-7) + b
4  = 9 + b
b = 4 - 9
b = -5

Now we know that b = -5, we will substitute b = -5 into the equation that we found earlier, y = -9/7 x + b :

y = - 9/7x - 5

To make it more readable, we can multiply the equation by 7:
7y = -9x - 5
7y + 9x + 5 = 0

-----------------------------------------------------------
Answer : 7y + 9x + 5 = 0
-----------------------------------------------------------
7 0
3 years ago
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