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3 years ago

6.The expressions 5 + 2(x –7) and 5 +2x –14are equivalent by the

Mathematics

1 answer:

satela [25.4K]3 years ago

8 0

Answer:

6) Option B) distributive property is correct

Therefore 5+2(x-7)=5+2x-14 are equivalent by using distributive property

7) Option B) distributive property is correct

Therefore x+3(7-x)=x+21-3x are equivalent by using distributive property

Step-by-step explanation:

6) Given that the expressions 5+2(x-7) and 5+2x-14 are equivalent

To verify that the given expressions are equivalent by which property :

5+2(x-7)

=5+2(x)+2(-7) ( by using the distributive property a(x+y)=ax+ay )

=5+2x-14

Therefore 5+2(x-7)=5+2x-14 are equivalent by using distributive property

Therefore option B) distributive property is correct

7) Given that the expressions x+3(7-x) and x+21-3x are equivalent

To verify that the given expressions are equivalent by which property :

x+3(7-x)

=x+3(7)+3(-x) ( by using the distributive property a(x+y)=ax+ay )

=x+21-3x

Therefore x+3(7-x)=x+21-3x are equivalent by using distributive property

Therefore option B) distributive property is correct

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As discussed in Exercise 6.10, the General Social Survey reported a sample where about 61% of US residents thought marijuana sho

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Answer: 2285

Step-by-step explanation:

Formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_c}{E})^2$

, where p = prior estimate of population proportion.

E= Margin of error.

$z_c$ = z-value for confidence interval of c.

Given : Confidence interval : 95%

From the z-value table , the z-value for 95% confidence interval = $z_c=1.96$

The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.

i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61

[∵ sample proportion is the best estimate for population proportion.]

Margin of error : E= 2%=0.02

Now, the required minimum sample size would be :-

$n=0.61(1-0.61)(\dfrac{1.96}{0.02})^2$

Simplify ,

$n=0.2379\times9604=2284.7916\approx2285$

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3 years ago

Rex has a collection of 160 toy dinosaurs to put into 4 boxes. He puts 5 handfuls of toy dinosaurs in each box. There are no toy

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Answer: 8 dinos

Step-by-step explanation:

there are 4 boxes and 5 handfuls in each. divide 160 by 4 and divide that, 40, by 5 to get 8

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2 years ago

Solve y=.80x+100 based on bread machine costs 100. Ingredients for one loaf is .80 and what is the cost to make 50 loaves of bre

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Substitute 50 loaves into the given equation

y= cost to make 50 loaves

y= 0.80x + 100
y= 0.80(50) + 100
multiply first, then add
y= 40 + 100
y= $140 cost to make 50 loaves

Hope this helps!

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3 years ago

If a square has a side length of 11, what is the area

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121 is the area of the square

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3 years ago

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tim earns $150/week plus $15.00 for each desk he assembles. Write an inequality to represent how many desks he needs assemble to

Gennadij [26K]

x = number of desks needed to make

equation: 150 +15.50x >= 400

solution:

150 +15.50x >=400

15.50x = 250

x = 250/15.50 = 16.129

he needs to assemble 17 desks

15.50*17 = 263.50 +150 = $413.50

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3 years ago