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WARRIOR [948]
3 years ago
9

In quadrilateral $ABCD$, we have $AB=3,$ $BC=6,$ $CD=4,$ and $DA=4$.

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0
The triangle inequality applies.

In order for ACD to be a triangle, the length of AC must lie between CD-DA=0 and CD+DA=8.

In order for ABD to be a triangle, the length of AC must lie between BC-AB=3 and BC+AB=9.

The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
{4, 5, 6, 7}
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In a packet of 40 skittles, 30% are red. How many skittles are red
kifflom [539]

Answer:

12 skittles are red

Step-by-step explanation:

and easy way to do this on the calculator is 40*0.3 which will give you the number that is the 30%.

6 0
3 years ago
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A person has body fat percentage of 17.2% and weighs 171 pound how many pounds of her weight is made up of fat
Citrus2011 [14]

Answer: 29.41 pounds

Step-by-step explanation:

You have the following information given in the problem:

- The fat percentage that the person has is 17.2%

- The person weighs 171 pounds.

Therefore, to calculate the amount of pounds of her weight is made up of fat (which you can call x), you must multiply the weight of the person by the fat percentage.

Therefore, you obtain the following result:

x=171lb*0.172\\x=29.41lb

5 0
4 years ago
So ummmm i forgot how to work out 5 x 3/7
Marta_Voda [28]

Answer:

15/7= 2 1/7

Step-by-step explanation:

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3 years ago
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What are the 2 types of unbiased samples?
Veronika [31]
Systematic Random Sample, Stratified Random Sample, and Simple Random Sample.
8 0
4 years ago
Income Fixed expenses Variable expenses Totals Income and Expenses. Total income Total fixed expenses Monthly Personal Budget Ol
almond37 [142]

Answer:

When making a budget, it’s important to know how to separate fixed expenses from variable expenses.

What is a fixed expense? In simple terms, it’s one that typically doesn’t change month-to-month. And, if you’re wondering what is a variable expense, it’s an expense that may be higher or lower from one month to the next.

Knowing how to include both in a budget is important to avoid overspending. It can also help with deciding how much of your income to commit to debt repayment, saving and other financial goals.

Fixed Expenses Definition

A fixed expense just means an expense in your budget that you can expect to stay the same, or close to it, over time. When you sit down to make your monthly budget, you don’t have to guess how much you’ll pay toward fixed expenses. You can simply carry over those amounts from last month’s budget.

Having one or more fixed expenses in your budget is a good thing from a planning perspective. Since these expenses are more or less constant, budgeting becomes more predictable. That can make using certain budgeting methods, such as zero-based budgeting or the 50/20/30 budget, easier.

Aside from being roughly the same amount each month, fixed expenses may also be paid on or around the same date each month. Again, the advantage here is that planning out your budget may be easier to do with recurring bill payments. If you budget by paycheck or schedule automatic bill payments, having bills due at roughly the same time can help with avoiding late payments and the fees that go along with them.

Examples of Fixed Expenses

Fixed expenses can include essential expenses, such as those needed to maintain a basic standard of living each month. Some of the most common fixed expense samples include:

Rent or mortgage payments

Renter’s insurance or homeowner’s insurance

Cell phone service

Internet service

Health, disability or life insurance premiums

Property taxes

Childcare expenses

Student loan or car loan payments

Water, gas and electric bills technically fit under the umbrella of basic living expenses. But these costs can fluctuate from month to month, depending on your usage and the rates your provider charges.

While they may not be necessary for basic needs, certain recurring subscriptions could also be included as fixed expenses in your budget. If you pay for a gym membership or streaming services, for example, those costs might stay the same month to month.

Saving can also be considered a fixed expense if you’re budgeting for it regularly. For instance, you may put $100 into your emergency fund every payday. If you do that consistently and include it as a line item in your budget, you may technically consider it to be a fixed expense if you don’t deviate from your savings habit.

Other less common fixed expenses may include child support payments, alimony, back tax payments you’re making through an installment plan or payments made to satisfy a judgment from a lawsuit. These kinds of payments can be the same each month for the entire period of time in which you’re obligated to pay them.

Variable Expenses Definition

Variable expenses are the opposite of fixed expenses. A variable expense may recur from month to month. But the amount you pay in any given month could be different from previous payments or ones you’ll make in the future.

Budgeting for variable expenses can be more challenging, as you may not be able to pinpoint exactly how much they’ll add up to from one month to another. If you’re not tracking variable expenses regularly, it could be very easy to under- or overestimate how much of your budget you should allocate to them. This is something you can easily do with a budgeting app, however, which can minimize the odds of variable expenses sideswiping your spending plan.

Variable expenses can include essential expenses as well as discretionary spending. For instance, if you get sick, then a doctor visit may be a necessity that you need to cover. On the other hand, a discretionary expense means anything you budget money for or spend money on that you don’t necessarily need. In other words, these represent the “wants” in your budget.

Examples of Variable Expenses

What’s included in a budget under variable expenses will vary from one person to another. But some of the most common variable expenses you may pay include:

Gas

Parking fees

Groceries

Dining out

Clothing

Personal care expenses

Healthcare expenses

Home maintenance and repairs

Entertainment

Hobbies and recreation

Some variable expenses may not be recurring. For example, you may take vacations or trips two to three times a year. The amount you spend each time may vary, but you’re not paying for those expenses monthly. Instead, you may budget for those kinds of variable expenses using sinking funds—money that you set aside for this purpose.

5 0
1 year ago
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