Find the sum of place value of 5 in the no 505

Answers

Answer 1

Answer: Place values are determined by the position of a digit in the number multiplied by 10 for each digit it has to its right.

Since there are two "5" digits in the number, let us break them down to their respective place values.

1.) 5: one's place: 5
2.) 5: hundred's place: 5 x 10 x 10 = 500

Adding the place values:
500 + 5 = 505

Therefore the sum is 505.

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Albert says that the two systems of equations show below have the same solutions determine in-state whether you agree with Albert. Justify your answer

Answers

Recall what portion of earth is included in the biosphere

Mikel creates the table below to help her determine 40% of 70. She writes the expression Which change in Mikel’s expression will lead her to the correct answer?

Answers

Answer:

The 0.2 in the expression could be changed to 2

Step-by-step explanation:

Each column of the table represents:

20% = 0.2 = 14

To determine 40% the expression should be:

2*20% = 2*14

So the correct answer choice is the last one:

The 0.2 in the expression could be changed to 2

The change in the expression to get the correct answer is option B. Mikel should changes the 0.2 in her expression to 0.4.The correct expression for 40% of 70 is (0.4)(70) = 28.

Mikel's expression is (0.2)(14) = 2.8.

The only change that needs to be made to Mikel's expression is to change the 0.2 to 0.4.

This is because 40% is equivalent to 0.4.

So the answer is to change the 0.2 in Mikel's expression to 0.4.

Here is a breakdown of the calculation:

40% of 70

= 40/100 × 70

= 28

(0.2)(14)

= 0.2 × 14

= 2.8

As it can be seen, the only difference between the two expressions is the value of the first factor.

In the correct expression, the first factor is 0.4, while in Mikel's expression, the first factor is 0.2.

Therefore, if Mikel changes the 0.2 in her expression to 0.4, then her expression will be correct.

learn more about expression here

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A flagpole broke in a storm. 7 meters are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground at a point 24 meters away horizontally.How tall was the flagpole before it broke?

Answers

32 meters tall.
It would form a right triangle, in which the shorter leg is 7m and the longer leg is 24m. You're looking for the last side, the hypotenuse. So use the Pythagorean theorem. a^2 + b^2 = c^2 , in which a and b are the legs and c is the hypotenuse.
Therefore, you get 7^2 + 24^2 = c^2.
Which is, 49 + 576 = c^2
Add, 625 = c^2.
Take the square root of 625, which is 25. So, the length of the hypotenuse (last side) is 25m. Add the 7m that is sticking out of the ground, to get 32m.

The broken part forms the hypotenuse of a right angled triangle.

So we have a right angled triangle, the vertical part is 7m, and the horizontal is 24m.

From Pythagoras' Theorem:

x² = 24² + 7²

x² = 576 + 49

x² = 625

x = √625

x = 25

So the broken part is 25m long.

The length of the flagpole before it was broken = 25 + 7

= 32m.

Really beautiful question.

A number increased by four is the same as 19 minus 2 times the number

Answers

From the information given, 4 added to the unknown number is equal to 2 times the unknown number when it is subtracted from 19.

Let the number be x

x + 4 = 19 - 2 (x)

We now expand and simplify the equation by placing unknown on one side and the known on the other side

x + 4 = 19 - 2x

x + 2x = 19 - 4

3x = 15

x = 15 /3

x = 5

Letitia is making a pizza that needs to cover 36 square inches. Give two possible sets of dimensions (length and width) that will give Letitia's pizza the desired area. Also give the perimeter for each set.

Answers

ok so assuming you ahve a rectangle (since you gave legnth and width)

area=legnth times width
perimiter=L+L+W+W=2L+2W=2(L+W)

area=36
some factors are
6 and 6
4 and 9
3 and 12
2 and 18
1 and 36
those are only whole numbers, but tat is for ease

so add and mutliplyby 2 (preimiter

6 and 6, P=2(6+6)=24
4 and 9, P=2(4+9)=26
3 and 12, P=2(3+12)=30
2 and 18, P=2(2+18)=40
1 and 36, P=2(1+36=74

What is the completely factored form of x^3 – 64x?a) x(x – 8)(x – 8)
b) (x - 4) (x^2 + 4x + 16)
c) x(x – 8)(x + 8)
d) (x – 4)(x + 4)(x + 4)

Answers

$x^3 - 64x \n \n gcf = x \n \n x( (x^3)/(x) + (-64x)/(x) ) \n \n x(x^2 - 64) \n \n x(x^2 - 8^2) \n \n x(x + 8)(x - 8) \n \n$

The final result is: C) x(x - 8)(x + 8).

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