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3 years ago

Write an equation for the situation below.

Mathematics

2 answers:

seropon [69]3 years ago

5 0

The answer is 285 I think

aliya0001 [1]3 years ago

3 0

Answer:

45x +60 = 285

Step-by-step explanation:

60 minutes + 45 minutes * x week-days -classes = 285 total

60 +45x =285

45x +60 = 285

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The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day 333 people enter the park, the

liberstina [14]

Answer:

<u>188 children</u> and <u>145 adults</u> were admitted in the park.

Step-by-step explanation:

Given:

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

<u><em>Let the number of children admitted be </em></u> $x.$ <u><em /></u>

<u><em>And the the number of adults admitted be </em></u> $y.$ <u><em /></u>

So, the total people enter the park:

$x+y=333\\\\x=333-y\ \ \ ...(1)$

Thus, the total amount collected of the admission fee:

$1.50(x)+4(y)=862\\\\$

Substituting the value of $x$ from equation (1):

$1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.$

<u><em>Thus, the number of adults = 145.</em></u>

Now, to get the number of children by substituting the value of $y$ in equation (1) we get:

$x=333-y\\\\x=333-145\\\\x=188.$

<u><em>Hence, the number of children = 188.</em></u>

Therefore, 188 children and 145 adults were admitted in the park.

4 0

4 years ago

Please help my solve this problem. :(

solniwko [45]

The answer would be 90

8 0

4 years ago

To solve for y in the equation 2y + y = 5, what first step would need to be taken? Subtract 2 from each side. Add 2y and y. Subt

cricket20 [7]

Answer:

Add 2y and y.

Step-by-step explanation:

you have to combine what is common

plz give brainliest

4 0

3 years ago

Can you find a strategy for splitting any number so that you always get the largest product?

Alex

9514 1404 393

Answer:

split the number into equal pieces

Step-by-step explanation:

Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.

We have to assume that the number being split is positive and all of the parts are positive.

<h3>2 parts</h3>

If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.

<h3>3 parts</h3>

Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...

p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4

This will be maximized where its derivative is zero:

p' = (1/4)(3x^2 -4nx +n^2) = 0

(3x -n)(x -n) = 0 . . . . . . . . . . . . . factor

x = n/3 or n

We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.

<h3>more parts</h3>

A similar development can prove by induction that the parts must all be equal.

6 0

3 years ago

In the spring a young maple is 18 feet tall. Over the summer it grows 8%. How

Setler79 [48]

Answer:

At end of summer, the Maple is 19.44 feet

Step-by-step explanation:

We need to find 8% of 18 feet and add it to 18 to get the new height.

To get percentage to decimal, we need to divide by 100. Hence

8/100 = 0.08

8% of 18 is:

18 * 0.08 = 1.44 feet

Now, we need to add this to 18 feet. We have:

18 + 1.44 = 19.44 feet

7 0

3 years ago