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2 years ago

3) Which property is used in the following: 4 x (5 + 7) = 4 x 5 + 4x7

Mathematics

1 answer:

earnstyle [38]2 years ago

3 0

Answer:

3) D

4) B

5) A

6) 2 (x + 7)

Step-by-step explanation:

D. Distributive Property

The distributive property of multiplication over addition can be used when you multiply a number by a sum.

B. 2 + 8 = 8 + 2

The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around.

A. 4 x 1 = 4

The "Multiplicative Identity" is 1, because multiplying a number by 1 leaves it unchanged: a × 1 = 1 × a = a.

3 ( x + 3) - X + 5

3x + 9 - x + 5

2x + 14

2 (x + 7)

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If Kamila can do a job in 26 hours and Simon and Kamila working together can do the same job in 9 hours , find how long it takes

Kay [80]

Answer:

Simon takes approximately 13.76 hours to complete the job alone.

Step-by-step explanation:

We are given the following in the question:

Kamila can do a job in 26 hours

So, part of work done by Kamila in 1 hour =

$\dfrac{1}{26}$

Simon and Kamila working together can do the same job in 9 hours .

So, (Simon and Kamila)'s 1 hour work =

$\dfrac{1}{9}$

So, Simon's 1 hour work =

$\dfrac{1}{9}-\dfrac{1}{26}=\dfrac{17}{234}$

So,

Simon can do $\frac{17}{234}$ part of work in hour = 1

Time taken by Simon to complete the job alone =

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Thus, Simon takes approximately 13.76 hours to complete the job alone.

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2 years ago

A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performa

ss7ja [257]

Answer:

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets

Step-by-step explanation:

A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?

Let

x = number of tickets sold for $26

y = number of tickets sold for $40

x + y = 6000

x = 6000 - y

$26 × x + $40 × y= $185, 400

26x + 40y = 185400

Substitute

26(6000 - y) + 40y = 185400

156000 - 26y + 40y = 185400

Collect like terms

- 26y + 40y = 185400 - 156000

14y = 29400

y = 29400/14

y = 2100 tickets

x = 6000 - y

x = 6000 - 2100

x = 3900 tickets

Hence

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets

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Step-by-step explanation:

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