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3 years ago

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Determine which situation(s) best describes operations with the numbers 4.58 and -0.145. Select all situations that apply.

1 answer:

Alex Ar [27]3 years ago

7 0

The product and the quotient of the decimal numbers are both negative
(because when multiplying/dividing, and ur signs are different, then ur answer will be negative)

The sum of the decimal numbers is positive
(because when adding, if the signs are different, u subtract and take the sign of the larger number)

The difference of the decimals is positive
(because ur subtracting a negative...4.58 - (- 0.145) = 4.58 + 0.145...and that equals a positive)

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What is the next term of the arithmetic sequence? -7 -7 1 5 9

Fed [463]

Answer:

No solution, this is not an arithmetic sequence

Step-by-step explanation:

An arithmetic sequence is the same number being added over and over. This is not the case.

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2 years ago

Tj Max is offering a 15% discount on all items .The new price of a pair of jeans is 44.20 .What was the original price

dolphi86 [110]

Answer:

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Step-by-step explanation:

To find an original price you must find how much of a percent was left before the discount.

100% - 15% = 85%

You then take this percentage a DIVIDE it by the new price.

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2 years ago

Maria solved the equation. 4 (3 x minus 8) minus 4 = 24. 12 x minus 32 minus 4 = 24. 12 x minus 36 = 24. 12 x = 60. x = 5. What

Mrac [35]

Answer:

1. Distributive property.

2. Combining like terms.

3. Addition property of equality.

4. Division property of equality.

Step-by-step explanation:

- The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ab$

- The Addition property of equality states that:

$If\ a=b\ then\ a+c=b+c$

- The Subtraction property of equality states that:

$If\ a=b\ then\ a-c=b-c$

- The Multiplication property of equality states that:

$If\ a=b\ then\ a*c=b*c$

- The Division property of equality states that:

$If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}$

Given the following equation:

$4(3x-8)-4=24$

We can identify that the methods Maria used to solve it and the order, are:

1. Distributive property:

$(4)(3x)-(4)(8)-4=24\\\\12x-32-4=24$

2. Combining (or adding) like terms:

$12x-36=24$

3. Addition property of equality, because she added 36 to both sides of the equation:

$12x-36+36=24+36\\\\12x=60$

4. Division property of equality, because she divided both sides of the equation by 12:

$\frac{12x}{12}=\frac{60}{12}\\\\x=5$

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