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eduard
2 years ago
13

Simplify the expression below

-%20%7D%5E%7B2%7D%20%20-%205z" id="TexFormula1" title="7x { - }^{2} - 4z + 8x { - }^{2} - 5z" alt="7x { - }^{2} - 4z + 8x { - }^{2} - 5z" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Alisiya [41]2 years ago
3 0

Answer: -9z + 15/x^2

The correct answer is -9z + 15/x^2 when simplified

<em>Hope this helps =)</em>

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Miles incorrectly gave the product of 7 × 2.6 as 14.42. Use a place value chart or an area model to help Miles understand his mi
svetlana [45]
  • Place value chart: 7 x 2.6 = 18 ones plus 2 tenths = 18.2
  • Area model: 7 x 2.6 = 14 + 4.2 = 18.2
<h3>Further explanation</h3>

Miles incorrectly gave the product of 7 x 2.6 as 14.42.

Let us use a place value chart or an area model to help Miles understand his mistake.

See the attached picture for the place value chart and area model.

<u>Place Value Chart</u>

7 x 2.6 is the same as 7 multiplied by 2 ones and 6 tenths. In other words, we see clearly that 7 multiplied by 2 plus 7 multiplied by 0.6.

  • We prepare two columns of ones and tenths separated by dots.
  • In the ones column, place two dots on each row until it reaches 7 rows. This means 7 times 2 equal to 14 dots.
  • In the tenth column, place six dots on each row until it reaches 7 rows. This means 7 times 0.6.
  • In the tenth column, every time it reaches 10 dots, it becomes 1 ones which are added to the dots in the ones column.
  • There are 4 additional dots in the ones column as a result of each 10 dots in the tenth column. We add 14 dots with 4 dots and the result is 18 ones.
  • The remaining dots in the tenth column will be added with all the dots in the ones column. There are two dots left so that it becomes 2 tenths.

\boxed{ \ 7 \times 2.6 = 18 \ ones \ plus \ 2 \ tenths = \boxed{ \ 18.2 \ } \ }

<u>Area Model</u>

7 x 2.6 is the same as 7 multiplied by 2 ones and 6 tenths.

  • Let 2 ones and 6 tenths as the length and 7 as the width of a rectangle.
  • 7 x 2 ones = 14 ones or 14.
  • 7 x 6 tenths = 42 tenths or 4.2.
  • The area of the rectangle is 14 ones plus 42 tenths, or 14 plus 4.2.

\boxed{ \ 7 \times 2.6 = 14 + 4.2 = \boxed{ \ 18.2 \ } \ }

<h3>Learn more</h3>
  1. The example of a question about the four types of number form  770,070 brainly.com/question/4725342
  2. 2 thousands 7 tens divided by 10 brainly.com/question/1648434
  3. What is the difference in the value of 7 at 67,908 and 76,908 in the unit form? brainly.com/question/120717

Keywords: Miles, incorrectly, gave the product of, 7 x 2.6 as 14.42, a place value chart, an area model, understand his mistake, 18.2, ones, tenths, dots, column

3 0
2 years ago
12)What is the resistance of a 600-foot #12 (solid) aluminum conductor? Hint: The resistance of the conductor is 3.18 Ohms/1000
Butoxors [25]

Answer:

1.91 Ohms

Step-by-step explanation:

It is given that the resistance of the conductor is 3.18 Ohms/1000 feet.

It means that the resistance of the 1000-foot conductor is 3.18 Ohms.

So, the resistance of the 600-foot #12 (solid) aluminium conductor is \frac{600}{1000} (3.18)

= 6 × 0.318

= 1.908

= 1.91 Ohms (rounded to two decimal places)

6 0
3 years ago
Could someone help and explain it to me?
stiks02 [169]

Answer:

i don't have signs so bare with me x is less than -3

Step-by-step explanation:

move the constant to the right and you change the sign

you add 8+13 once your done with that

than you divide both sides by -7 and flip the inequality sign

hope this helps

4 0
2 years ago
You are going to rent a car to drive while you are on vacation. There are two car rental packages for you to choose from. The fi
dangina [55]

Answer:

E. 45 miles

Step-by-step explanation:

The difference between the packages is $20. You would need to drive at least 40 miles since 40(0.5) =$20. The best answer is E. 45 miles

7 0
2 years ago
Joy is reading a 352-page novel for her summer reading project. On Monday she reads 3/8 of the novel. On Tuesday she reads 28 pa
kakasveta [241]

Answer: 104 pages

Step-by-step explanation:

On 1/4 is actually 2/8  so on Monday and Wednesday together she read 3/8 + 2/8 = 5/8 of the 352 pages and 5/8 x 352 = 220.

Tuesday she read 28 pages so  she has read 220 + 28 = 248 pages.

She must read 352 -248 = 104 pages more

7 0
2 years ago
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