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3 years ago

Two decreased by a half of a number is 1/2 of the number

1 answer:

7 0

Answer: The number is: "2" .
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The expression is: 2 − (½)x = (½)x ;
→ in which "x" is the "unknown number".
_______________________________________________________
Explanation:
______________________________________________________
Given:
_________________________________________________________
"Two decreased by a half of a number is one-half of the number" ;

Let "x" represent the "unknown number" for which we wish to solve;

Write the expression as:
_________________________________________________
" 2 − (½)x = (½)x " .
_________________________________________________
Note: Add "(½)x" to EACH SIDE of the equation:
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2 − (½)x + (½)x = (½)x + (½)x ;

to get:
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→ 2 = 1x ;

↔ 1x = 2 ;

↔ x = 2 .
_________________________________________________
Answer: The number is: " 2 " .
_________________________________________________

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Answer:

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Step-by-step explanation:

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3 years ago

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The radius of a semicircle is 3 feet. What is the semicircle's area? Use 3.14 for Pi

valentinak56 [21]

Answer:

14.13 ft²

Step-by-step explanation:

The area of a semicircle is

$= \frac{\pi \: {r}^{2} }{2}$

We were given the radius of the semicircle to be: r=3 feet.

We were also asked to use π as 3.14.

We substitute into the formula to get:

$= \frac{3.14 \times {3}^{2} }{2}$

This is the same as:

$= \frac{3.14 \times 9}{2}$

$= 3.14 \times 4.5$

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3 years ago

The radius of the large sphere is double the radius of the

kozerog [31]

Answer:

Given:

Radius of large sphere: R1

Volume of sphere: V1

Radius of small sphere: R2

Volume of sphere: V2

R1=2R2

We know that:

Volume of a sphere: 4/3πR^3

Volume of large sphere: 4/3πR1^3

Now we know that R1=2R2(given)

Thus volume of large sphere(V1) 32/3πR2^3.

Volume of small sphere(V2): 4/3πR2^3.

Ratio of volume of large sphere to small sphere is 8:1.

Step-by-step explanation:

8 0

3 years ago

Can anyone help me with the 7th and 8th question which I have taken a bad photo of?

Vsevolod [243]

Question 7:

Define x :

Let the digit in the ones place be x.
The digit in the tens place is x+2.

The sum of the digit and its reverse is 66

Find x:

10(x + 2) + x + 10x + (x + 2) = 66
10x + 20 + x + 10x + x + 2 = 66
22x + 22 = 66
22x = 44
x = 2

Find the number:

The number in the ones place = x= 2
The number in the tens place = x = 2 + 2 = 4

Answer : The number is 42.

Question 8:

Define x:

Let the digit in the tens place be x.
The digit in the ones place is x+7.

The number = 10x + x + 7 = 11x + 7

If the digit interchange,
the number = 10(x + 7) + x = 10x + 70 + x = 11x + 70

Find x:

9(11x + 7) = 2(11x + 70)
99x + 63 = 22x + 140
99x - 22x = 140 - 63
77x = 77
x = 1

Find the number:

x = 1
x + 7 = 1 + 7 = 8
So the number is 18

Answer: The number is 18.

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3 years ago

Evaluate the following expression (-3)^-2

OleMash [197]

<h3>Answer: the fraction 1/9</h3>

It is approximately equal to 0.1111

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To get this answer, we use the rule

$x^{-k} = \frac{1}{x^k}$