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gogolik [260]
3 years ago
10

Four times the sum of three consecutive integers is 156.Write and solve an equation that will find the smallest integer.

Mathematics
1 answer:
Burka [1]3 years ago
3 0

Answer:

4(x+x+1+x+2)=156, x=12

Step-by-step explanation:

let the numbers be x, x+1 and x+2.

Now,

4(x+x+1+x+2)=156

4(3x+3)=156

divide both side by 4

3x+3=156/4=39

subtract 3 from both sides

3x=39-3

3x=36

divide both sides by 3

x=36/3=12

x=12

Hence, the smallest of the integers is 12.

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A sheet of notebook paper is approximately 0.003 in. thick. Tear the sheet in half so that there are two sheets. Repeat so that
geniusboy [140]

Answer:

3.3776997 x 10¹² inches high

Step-by-step explanation:

The number of sheets obtained after each tear (N) is described by an exponential relationship, where 'n' is the number of tears:

N=2^n

For n = 50:

N=2^{50}\\N=1.1258999*10^{15}

If each sheet is 0.003 in thick, the stack would have a height of:

h = 1.1258999*10^{15}*0.003\\h= 3.3776997*10^{12}\ in

The final pile would be 3.3776997 x 10¹² inches high.

3 0
3 years ago
Carmen is going to buy a pair of sneakers that cost $63 the sales tax rate is 7.5 what is the total cost of the sneakers to the
DaniilM [7]
The cost would be  $67.73
7 0
3 years ago
A catering company’s recipe for Salad uses a ratio of 2 c of dressing to 4 lb of vegetables (a) write a ratio of dressing to veg
True [87]

Answers:

A. 1c/2lb

B. 8 cups of dressing

 

 

SOLUTION

 

Given that a catering company’s recipe for Salad uses a ratio of 2c of dressing to 4 lb of vegetables

 

A. Write a ratio of dressing to vegetables as a reduced fraction

A reduced fraction is the expression of a ratio in its simplest fractional form

Dressing: Vegetable = 2c : 4 lb

 In fractional form, 2c/4lb

 

2 is a common factor to both numerator and denominator

Therefore, in reduced fractional form,

2c/4lb = 1c/2lb

 

Therefore, ratio of dressing to vegetables as a reduced fraction is 1c/2lb

 

 

B. How many cups of dressing would they need for 16 lb of vegetables

1c = 2lb

16lb = ?

 

Since 1c = 2lb

2lb = 1c

1lb = 1/2 c

16lb = 16(1/2)c

16lb = 8c

 

Therefore, they would need 8 cups of dressing for 16 lb of vegetables

8 0
3 years ago
For what value of x is the rational expression below when x is equal to 4? X+20/x+4
arlik [135]

x+20/x+4

↓

4+20/4+4

↓

4+5+4=13



7 0
3 years ago
Please help me quickly!
Degger [83]

Answer:

√50

Step-by-step explanation:

Use Pythagorean Theorem: a^2+b^2=c^2

5^2+5^2=c^2

25+25=c^2

50=c^2

c=√50

3 0
2 years ago
Read 2 more answers
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