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3 years ago

*Use the distributive property to write an equivalent expression: 6x + 10y

Mathematics

1 answer:

iris [78.8K]3 years ago

3 0

Answer:

3x(2)+5y(2)

Step-by-step explanation:

dritributive is were you give out something to the rest of the problem

ex) 3(4+7) --> (12+21)

3x(2)+5y(2) --> you distribute the 3x to the 2 and 5y to the 2

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2 years ago

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Data may be classified by one of the four levels of measurement. What is the name of the lowest level?

coldgirl [10]

Answer:

Nominal

Step-by-step explanation:

There are four levels of measurement of data listed below in increasing order:

Nominal

Ordinal

Interval

Ratio

The nominal level of measurement is the lowest level that deals with names, categories and labels. It is a qualitative expression of data e.g Colors of eyes, yes or no responses to a survey, and favorite breakfast cereal all deal with the nominal level of measurement.

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3 years ago

A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur

Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

$V=LWH$

where

$L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in$

substitute

$V=(7-2x)(2-2x)x$

Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

then

the width is negative (W=2-2x)

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

8 0

3 years ago

A customer went to a garden shop and bought some potting soil for $12.50 and 5 shrubs. The total bill was $62.50. Write and solv

lesya692 [45]

Answer: Equation: $5x = 62.50 - 12.50$ or $x = \frac{62.50-12.50}{5}$

x is the cost of each shrub x = $10

Step-by-step explanation: Total bill = $62.50.

Subtract the cost of potting soil for $12.50 to find the cost of just the shrubs. 5x equals that amount

5x = 62.50 - 12.50

5x = 50 divide both sides by 5

5x/5 = 50/5

x = 10

6 0

3 years ago

The difference between a number squared, and that same number is 30. What is the number

Volgvan

Answer:

n^2 = n + 30

n^2 -n -30 = 0

Solving by quadratic formula

numbers equal 6 AND -5

DOUBLE -CHECK

6^2 -6 -30 = 0

36 -6 - 30 = 0 CORRECT

-5^2 - -5 -30 = 0

25 +5 -30 = 0 CORRECT

Two numbers 6 and -5

Step-by-step explanation:

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3 years ago