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Nadusha1986 [10]
3 years ago
13

Find the smallest solution to the equation 2/3 x^2=24

Mathematics
1 answer:
klio [65]3 years ago
6 0
Ok so solve
2/3 times x^2=24
m ultply both sides by 3/2 to clear fraction
x^2=36
x=-6 or 6
-6<6
answer is x=-6 is smalles solution
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Given AB= 20, BV=12, VA=14 and SR is a mid segment, find the given lengths
joja [24]

Given:

AB= 20, BV=12, VA=14 and SR is a mid segment.

To find:

The lengths of SR and AR.

Solution:

SR is a mid segment. So, SR is parallel to the non-included side BV and the length of SR is half of BV.

SR=\dfrac{1}{2}BV

SR=\dfrac{1}{2}(12)

SR=6

SR is a mid segment. So, it divides the included sides in two equal parts. It means R is the midpoint of VA.

AR=\dfrac{1}{2}VA

AR=\dfrac{1}{2}(14)

AR=7

Therefore, the measure of SR is 6 units and the measure of AR is 7 units.

8 0
3 years ago
There are 8 fewer than double the
shutvik [7]

Answer:

The equation to find the number of students in the

the band will be:  2x - 8= 54

Step-by-step explanation:

Let the number of members in the chorus = x

so the double number of members in the chorus will be = 2x

As Total members in the chorus = 54

As there are 8 fewer than double the  number of students in the chorus than in  the band.  i.e. 2x - 8

Therefore, the equation to find the number of students in the

the band will be:  2x - 8= 54

3 0
3 years ago
The product (x + 3y)(3x – y) =
Digiron [165]

Answer: 3x²-3y²+8xy

Step-by-step explanation:

When you multiply two factors, you want to use the FOIL method.

First

Outer

Inner

Last

(x+3y)(3x-y)                  [distribute by FOIL]

3x²-xy+9xy-3y²            [combine like terms]

3x²+8xy-3y²                 [rewrite]

3x²-3y²+8xy

Now, we know the product is 3x²-3y²+8xy.

4 0
3 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
Need halp 12x84 - -7000
satela [25.4K]

12x84-(-7000)

1008+7000

=8008

Easy

5 0
4 years ago
Read 2 more answers
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