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slega [8]
3 years ago
5

D. Mrs. Buchanan decided to throw her daughter a sweet sixteen party. She rented a room at a local venue for $500 a night plus $

8 per person. If the bill was $1140, how many people attended the party? Mrs. Miller wants to buy a snake that costs $242. She already has $62 and she plans to save $12 per week. In how many weeks will she have enough money to buy the snake?​
Mathematics
1 answer:
a_sh-v [17]3 years ago
3 0

Answer:

1) 80 people  2) 15 weeks

Step-by-step explanation:

(x = the number of people)

500 + 8x = 1140  ← ($500 initially plus $8 per person equals $1140)

8x = 640 ←(subtract the $500 from each side)

x = 80 ←(divide by the $8 per person to get the number of people)

------

(x = the number of weeks)

242 = 62 + 12x  ←(The cost of the snake ($242) is equal to her $62 plus $12 she saves every week)

180 = 12x  ←(subtract the $62 from both sides)

15 = x  ←(divide by the $12 per week)

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A container in the shape of a rectangular prism holds 297 1/4 cubic inches of dirt. Its base has an area of 20 1/2 square inches
zubka84 [21]

Answer:

 

5,940 1/8 inches

Step-by-step explanation:

 

5,940 1/8 inches

3 0
3 years ago
The sum of interior angles in a triangle are 180 degrees. Angle B and C are congruent. Angle B is twenty less than angle A. Writ
Margarita [4]

Answer:

A = 73.33

B = 53.33

C = 53.33

Step-by-step explanation:

Mathematically, adding the 3 angles would equal 180

Thus;

A + B + C = 180 •••••(i)

Since B and C are congruent, that means they are equal ( we are looking at isosceles triangle)

B = C •••••••••(ii)

Lastly;

B = A -20 ••••••••(iii)

Make a substitution in equation 1;

A + A -20 + A -20 = 180

Since B = C ; C also is A-20

3A -40 = 180

3A = 220

A = 220/3 = 73.33

B = C = A -20 = 73.33 -20 = 53.33

6 0
3 years ago
Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%
bazaltina [42]

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

<u>a. convert the raise as a percent into a decimal, then add 1</u>

20% = 0.2

0.2 + 1 = 1.2

<u>b. multiply the number by the original salary</u>

1.2 * 1500

1800

8 0
3 years ago
Read 2 more answers
What is wrong with this problem. 2(n +3) = 2n +3
LekaFEV [45]

Steps to solve:

2(n + 3) = 2n + 3

~Distribute left side

2n + 6 = 2n + 3

~Subtract 6 to both sides

2n = 2n - 3

~Subtract 2n to both sides

n = -3

Best of Luck!

7 0
3 years ago
George's page contains twice as many type words as Bill's paid and Bill's page contains 50 fewer words and Charlie's page. If ea
defon
For this, we use simultaneous equations. Let George's page be g, Charlie's be c and Bill's page be b.

First, <span>George's page contains twice as many type words as Bill's.

Thus, g = 2b.

</span><span>Second, Bill's page contains 50 fewer words than Charlie's page.

Thus, b = c - 50.

</span>If each person can type 60 words per minute, after one minute (i.e. when 60 more words have been typed) <span>the difference between twice the number of words on bills page and the number of words on Charlie's page is 210.

We can express that as 2b - c = 210.

Now we need to find b, since it represents Bill's page.

We can substitute b for (c - 50) since b = c - 50, into the equation 2b - c = 210. This makes it 2(c - 50) - c = 210.

We can expand this to 2c - 100 - c = 210.

We can simplify this to c - 100 = 210.

Add 100 to both sides.

c - 100 + 100 = 210 + 100

Then simplify: c = 210 + 100 = 310.

Now that we know c, we can use the first equation to find b.

b = c - 50 = 310 - 50 = 260.

260 is your answer. I don't know where George comes into it. Maybe it's a red herring!</span>
8 0
3 years ago
Read 2 more answers
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