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krek1111 [17]
3 years ago
8

How do I find the value of an expression ​

Mathematics
1 answer:
levacccp [35]3 years ago
5 0

Answer:

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

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Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each do
goblinko [34]
39.00 dollars is your answer.
6 0
3 years ago
WHICH SERIES OF TRANSFORMATIONS CAN BE USED TO SHOW THAT ABC~DEF?
elena-14-01-66 [18.8K]

Answer:

A) is correct

Step-by-step explanation:

7 0
2 years ago
Use the diagram to find the measure of arc. AB and CD and the diameters of the circle F
dybincka [34]

Answer:

11). m(\widehat{DE}) = 90°

12). m(\widehat{AEC}) = 212°  

Step-by-step explanation:

A circle F with AB and CD are the diameters has been given in the figure attached.

11). Since, m(\widehat{AB}) = 180°

    and m(\widehat{AB})=m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})

    Therefore, m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE}) = 180°

    32° + m(\widehat{DE}) + 58° = 180°

    m(\widehat{DE}) = 180° - 90°

                = 90°

12. Since, m(\widehat{AD})=m(\widehat{BC}) = 32°

                 m(\widehat{AEC}) = m(\widehat{AB})+m(\widehat{BC})

                                = 180° + 32°

                                = 212°

7 0
3 years ago
Factor the expression 8x^3y-8x^2y-30xy
miv72 [106K]

Find the Greatest Common Factor (GCF)

GCF = 2xy

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy(8x^3y/2xy + -8x^2y/2xy + -30xy/2xy)

Simplify each term in parenthesis

2xy(4x^2 - 4x - 15)

Split the second term in 4x^2 - 4x - 15 into two terms

2xy(4x^2 + 6x - 10x - 15)

Factor out common terms in the first two terms, then in the last two terms;

2xy(2x(2x + 3) -5(2x + 3))

Factor out the common term 2x + 3

<u>= 2xy(2x + 3)(2x - 5)</u>

4 0
3 years ago
Harry has a penny collection with 160 pennies. He plans to increase the size of his collection by a constant term each year for
mel-nik [20]

Answer:

  • A: Harry plans to have approximately 350 pennies at the end of the second year

  • B: Harry plans to have approximately 1,200 pennies at the end of his five-year plan.

  • C: Harry plans to increase his collection by approximately 1,050 pennies over the five-year period.

  • D: Harry will add approximately 250 pennies to his collenction d during the fourth year, according to his plan.

  • E: The coordinates of the point are (3.5, 400)

  • F: Harry will need to add approximately 150 more pennies more than what he had planned by the end of the fourth year, to get back on the plan.

Explanation:

The first thing I did was to write the numbers to the grid and add the points labeled with the letter of the question with which they are related.

  • Every mark on the x-axis corresponds to 1 year.

  • Every mark of the y-axis corresponds to 200 pennies.

See the graph attached.

Question A:

The y-coordinate of the green point labeled A is about half way between 300 and 400, i.e. 350.

Then, Harry plans to have approximately 350 pennies at the end of the second year

Question B:

The green point labeled B has coordinates (5, 1200), meaning that Harry plans to have approximately 1,200 pennies at the end of his five-year plan.

Question C:

Harry started his collection with approximately 150 coins. It is the y-coordinate (the value when x = 0): (200 - 100)/2 = 150.

Thus, Harry plans to increase his collection by approximately 1,200 - 150 = 1,050 pennies over the five-year period.

Question D:

The number of peenies that Harry will add to his collection during the fourth year, according to his plan, is the difference between the number of pennies at the end of the fourth year and the end of the third year.

The green point labeled D has coordinates (4, 800) meaning that his plan is to have approximately 800 pennies.

To find the number of pennies that Harry plans to have at the end of the third year  read the y-coordinate that meets the curve when x = 3. That is approximately (600 + 500) / 2 = 550.

The difference is 800 - 550 = 250 pennies.

Therefore, Harry will add approximately 250 pennies to his collenction d during the fourth year, according to his plan.

Question E:

The blue point labeled E shows the position on the grid of the 400 pennies halfway throuhg the fourth year.

The coordinates of this point is (3.5, 400).

Question F:

According to the plan, the number of pennies at the end of the fourth year would be 800 (green point labeled D on the graph).

Then, Harry will need to add approximately 800 - 400 = 400 pennies.

According to the plan the number of coins at the end of the third year would be

But the plan was to add 800 - 550 = 250.

Thus, Harry will need to add 400 - 250 = 150 more pennies than he had planned, during the fourth year.

7 0
3 years ago
Read 2 more answers
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