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svetoff [14.1K]

2 years ago

9

Renee is simplifying the expression (7) (13/29) (1/7).She recognizes that 7 and 1/7 are reciprocals, so she would like to find t

heir product before she multiplies by 13/29. Which property will allow Renee to do this without changing the value of the expression

2 answers:

Zepler [3.9K]2 years ago

7 0

Answer:

Multiplicative inverse property.

Step-by-step explanation:

∵ When a real number is multiplied by its inverse then the result is 1 ( multiplicative identity )

Also, for a real number a,

Representation of multiplicative inverse is $\frac{1}{a}$

Now, the multiplicative inverse of 7 = $\frac{1}{7}$

So,

$7\times \frac{1}{7}=1$

Hence, the required property is multiplicative inverse property.

astra-53 [7]2 years ago

5 0

Answer:

There's one important property which states that when a number is multiplied by its reciprocal, equals 1.

The commutative property of multiplication states that two or more numbers can be multiplied in any order, therefore, the expression: (7)×(13/29)×(1/7) can be changed to (7)×(1/7)×(13/29) and the result won't be altered.

Now, given that 7 and 1/7 are reciprocals, the result is 1. Therefore, the result of the multiplication equals (13/29)

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At the county fair, the operator of a game guesses a contestant’s weight. For each pound the operator’s guess differs from the c

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Answer: $| x - \frac{15}{3} | = 120$ or $\frac{1}{3}| 3 x - 15|= 120$ or $| 3x - 15| = 360$ or $| x - 5 | = 120$

Step-by-step explanation:

Since, According to the question,

For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive $3.

And, If a contestant weighing x pounds received $15

Then the guessed weight of contestant = $| x - \frac{15}{3} |$

But, Again according to the question,

The guessed weight is 120 pounds,

Thus, $| x - \frac{15}{3}|= 120$

⇒ $\frac{1}{3}| 3 x - 15|= 120$

⇒ $| 3x - 15|= 3\times 120$ (by multiplying 3 on both sides)

⇒ $| 3x - 15|= 360$

⇒ $3| x - 5|= 360$

⇒ $| x - 5|= 120$ ( On dividing both sides by 3 )

4 0

2 years ago

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After the bank cashed a check Maureen wrote for $60, her balance was -$14.The equation b+(-60)=-14 can be used to represent this

dem82 [27]

we are given

$b+(-60)=-14$

Since, we have to solve for b

$b-60=-14$

so, we will isolate b ony one side

so, we will add 60 on both sides

$b-60+60=-14+60$

$b=-14+60$

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so,

Answer:

Maureen should have added 60 to both sides.

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a woman is looking for a bigger square office. she finds an office twice the area of her square office. if the perimeter is 88ft

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Answer:

Option C is the correct answer.

Step-by-step explanation:

Perimeter of current office = 88 ft

We have perimeter = 4a , where a is the side of square.

Equating

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Area of current office = a x a = 22 x 22 = 484 square feet.

Area of new office is twice the area of current office.

Area of new office = 2 x 484 = 968 square feet.

Option C is the correct answer.

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if 1000 spherical of radius 1 cm are melted to form a bigger bulb. Then find the radius of bigger bulb

never [62]

Answer:

10 cm

Step-by-step explanation:

Given:

No. of small spherical bulb = 1,000

radius (r) of smaller bulbs = 1 cm

Required:

radius of the bigger bulb

SOLUTION:

The following equation represents the relationship of the volume of the smaller and bigger bulb,

$\frac{V_2}{V_1} = 1,000$

Where,

$V_2$ = volume of bigger bulb

$V_1$ = volume of smaller bulb

1,000 is the number of smaller bulbs melted to form the bigger bulb.

Volume of a sphere is given as, ⁴/3πr³

Therefore:

$V_2$ = ⁴/3*π*r³ = 4πr³/3

$V_1$ = ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3

Plug the above values into the equation below:

$\frac{V_2}{V_1} = 1,000$

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$\frac{4*pie*r^3*3}{3*4*pie} = 1,000$

$\frac{12*pie*r^3}{12*pie} = 1,000$

$r^3 = 1,000$ (12pie cancels 12 pie)

$r = 10$ (taking the cube root of each side)

Radius of the bigger bulb = 10 cm

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2 years ago

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side Line segment

prisoha [69]

Answer:

<h2>A 16mm</h2>

Step-by-step explanation:

An equilateral triangle is a triangle that has all of its sides equal.

Perimeter of an equilaterial triangle = 3s where;

s is one side of the triangle.

Given the perimeter of ABC = 96mm

Substituting into the formula above to get s;

96 = 3s

s = 96/3

s = 32mm

Hence the length of one side of the triangle is 32mm

If a perpendicular bisector is drawn from angle A to side Line segment B C at point M, then MC will be half of BC and ΔAMC will be a right angled triangle.

Since all the sides of the triangle are equal, hence BC = 32mm. Since MC is the half of BC, then MC = 1/2 of 32mm

MC = 1/2 * 32mm

MC = 16mm

<em>Hence the length of Line segment MC is 16mm</em>

<em></em>

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