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Snowcat [4.5K]
3 years ago
13

User: A family spends 1/10 of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for e

ntertainment. What fractional part of their income is spent on these items altogether?
a. 41/60
b. 6/41
c. 11/12
d. 1/7
Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0
\frac{1}{10}+\frac{1}{4}+\frac{1}{5}+\frac{2}{15}= \\ \\ \frac{1 \times 6}{10 \times 6}+\frac{1 \times 15}{4 \times 15}+\frac{1 \times 12}{5 \times 12}+\frac{2 \times 4}{15 \times 4}= \\ \\
\frac{6}{10}+\frac{15}{60}+\frac{12}{60}+\frac{8}{60}= \\ \\ \frac{41}{60}

The answer is A.
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Solve the equation and explain each step using apropriate Properties<br> -4(3x+6)+6=-30
Lina20 [59]

Answer:

The answer is x=1

Step-by-step explanation:

-4(3x+6)+6=-30

-12x-24+6=-30

-12x-18=-30

-12x-18+18=-30+18

-12x=-12

-12x/-12=-12/-12

x=1

6 0
2 years ago
The length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 14 ft2 . find the dimensions of th
omeli [17]
Given: A= 14 ft²  and  l= 2w-3 
formula for area of a rectangle is A=lw
substitute for what you know and simplify: 
14=(2w-3)w -> w= either -2 or 7/2 but because a width value can not be negative you can eliminate the -2 value. w=7/2 
subsitute width into equation for length and solve
l=2w-3= 2(7/2)-3= 4
width: 3.5 ft
length: 4 ft
5 0
3 years ago
which table represents viable solutions for y=5x, where x is the number of tickets sold for the school play a y is the amount of
STALIN [3.7K]

Given:

The given equation is:

y=5x

Where x is the number of tickets sold for the school play a y is the amount of money collected for the tickets.

To find:

The correct table of values from the given options.

Solution:

We know that the number of tickets and amount of money collected for the tickets cannot be negative. So, options A and B are incorrect.

We have,

y=5x

For x=0,

y=5(0)

y=0

For x=10,

y=5(10)

y=50

For x=51,

y=5(51)

y=255

For x=400,

y=5(400)

y=2000

In option C, all the ordered pairs (0,0), (10,50), (51,255), (400,2000) are in the table. So, option C is correct.

For x=65

y=5(65)

y=325

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.

8 0
3 years ago
explain how you would find how many 1 1/2 cup servings there are in a pot that contains 22 1/2 cups of soup.
11Alexandr11 [23.1K]

Step-by-step explanation:

multiply the 1 1/2 by 2 to get 3.

find the closest number that is divisible by 3

3*7 is 21.

We now have to multiply 7 by 2 since we did that to our mixed number to get a whole number.

There is still a 1 1/2 left over. Simply add 1 to 14.

3 0
2 years ago
Read 2 more answers
The following stem-and-leaf plots compare the ages of 30 actors and 30 actresses at the time they won the Oscar award for Best A
stealth61 [152]

The image of the stem-and-leaf plots is in the attachment.

Answer: (a) 31 years; (b) 59 years; (c) 56 years

Step-by-step explanation: Steam and leaf is a table that shows the digits of the data value split into a "stem", which represents the first digit, and a "leaf", which is the last digit.

For example, the first row of the table in the attachment, indicate a "stem" 2 and the first number of a "leaf" is 1, so the actress has 21 years.

(a) According to the table, the youngest actor to win an Oscar has a "stem" 3 and the first "leaf" from the right is 1, so the actor has 31 years.

(b) The oldest actress is 80 and the youngest is 21, so difference is:

80 - 21 = 59

The difference is 59 years.

(c) The oldest age shared by 2 actors is 56 years.

6 0
3 years ago
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