3x-10=2(x+6)
3x-10=2x+12
subtract 2x (to cancel it out and combine like terms)
[3x-2x=x]
x-10=12
add 10
[12+10=22]
x=22
Answer:
Lower limit = 936.8
Upper limit = 1442.8
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 1189.8 cube cm
Standard Deviation, σ = 126.5 cube cm
Range rule of thumb:
Lower limit =
Upper limit =
Thus, most values lie within (936.8,1442.8)
A brain volume of 1432.8 cube cm is not significantly high because it is less than the upper limit.
Quotient:
Remainder:
Answer:
5 r1
Step-by-step explanation:
Because 40 divided by 8=5 so 8 x 5=40 and 40 but since we need 41 then we still have a remainder of 1 so 5 with a remainder of 1.
Hope it helps have a good afternoon :)
X=-3
X=0
X=1
X=4
3 R20 buses
4 buses
None of these is correct.
They will need 4 buses.
The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
For the class field trip,
the fourth grades at Jefferson Elementary School need to take buses.
Each bus fits 55 students,
and there are 200 students in fourth grade.
The number of buses,
= 200/55
= 3.63
≈ 4.
Therefore, the need is for 4 buses.
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Answer:
Direct materials
Step-by-step explanation:
In this case we must bear in mind that as more products are sold, more material is needed to manufacture those additional final products
.
Therefore, in this case the cost would be related mainly to the materials, mainly the direct materials, since they are essential in the production of the product.
The cost that will increase as a result of the 12% increase in sales in the second half of the year is the variable cost, specifically the variable cost associated with producing additional units to meet the higher demand.
If Wesson Company sold 10,000 units of its only product in the first half of the year and sales increase by 12% in the second half of the year, the cost that will increase is the cost of producing the product, which includes both the variable and fixed costs associated with manufacturing.
Variable Costs: Variable costs are costs that vary with the level of production or sales.
These costs typically include expenses like raw materials, direct labor, and variable overhead. When sales increase by 12%, variable costs will also increase proportionally because more units of the product need to be produced to meet the higher demand.
Fixed Costs: Fixed costs are costs that do not vary with changes in production or sales levels, at least in the short term.
Examples of fixed costs include rent, salaries of permanent employees, and certain administrative expenses. Fixed costs usually remain constant regardless of changes in sales.
So, the cost that will increase as a result of the 12% increase in sales in the second half of the year is the variable cost, specifically the variable cost associated with producing additional units to meet the higher demand. Fixed costs, on the other hand, will remain the same unless there are specific contractual or structural changes in the business that affect these costs.
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Answer: In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz² and −5xyz² are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.
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Answer:
by combining them like the ordinary like ordinary integers.
Step-by-step explanation:
For example we have
8x + 4y = 3x - 6
you will bring 3x to the left so it will become -3x
8x - 3x + 4y = -6
then combine like terms
there you have
5x + 4y = -6
The given:
8x + 4y = 3x - 6
8x - 3x + 4y = -6
5x + 4y = -6
answer for the example: 5x + 4y = -6