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kari74 [83]
3 years ago
9

The sum of the consecutive numbers is 111. What is the smallest of the three numbers?

Mathematics
2 answers:
sammy [17]3 years ago
8 0
Let
x = first consecutive number
x + 1 = second consecutive number
x + 2 = third consecutive number

The sum of these numbers are 111.
x + x + 1 + x + 2 = 111
3x = 111 - 1 - 2
3x = 108
x = 36

Therefore, the smallest number is 36 because other numbers are 37 and 38.
Serga [27]3 years ago
3 0


Answer=36 + 37 + 38 = 111 (36 is the smallest number)

In algebraic form it is x+ x+1 + x+2 = 111 First you minus the 2 and the 1 to give you 108 and then divide that by 3 to give you x (36). That gives you the smallest of the consecutive numbers. Then add on the one on 36 to give 37 and another one to give 38.

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What is 170% of 97 tons???
Ede4ka [16]
x=170\% * 97 \\ \\ x= \frac{170}{100} *97 \\ \\ x= \frac{17}{10}*97 \\ \\ x= \frac{1649}{10}=164.9
6 0
3 years ago
Help again ;----; pls
yan [13]

Answer: Both 14, and 20



Step-by-step explanation:

8 0
3 years ago
A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t
VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field=1500000 square ft

Area of rectangular field=l\times b

Area of rectangular field=x\time y

1500000=xy

y=\frac{1500000}{x}

Fencing used ,P(x)=x+x+y+y+y=2x+3y

Substitute the value of y

P(x)=2x+3(\frac{1500000}{x})

P(x)=2x+\frac{4500000}{x}

Differentiate w.r.t x

P'(x)=2-\frac{4500000}{x^2}

Using formula:\frac{dx^n}{dx}=nx^{n-1}

P'(x)=0

2-\frac{4500000}{x^2}=0

\frac{4500000}{x^2}=2

x^2=\frac{4500000}{2}=2250000

x=\sqrt{2250000}=1500

It is always positive because length is always positive.

Again differentiate w.r.t x

P''(x)=\frac{9000000}{x^3}

Substitute x=1500

P''(1500)=\frac{9000000}{(1500)^3}>0

Hence, fencing is minimum at x=1 500

Substitute x=1 500

y=\frac{1500000}{1500}=1000

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used=2(1500)+3(1000)=6000 ft

Hence, the shortest length of fence that the rancher can used=6000 ft

3 0
4 years ago
Area of a rectangle is 36 what is x if the width is x and length is x+5
Reika [66]
If the length is x+5, the width would be x(x+5)=36
5 0
3 years ago
On a trip to visit friends, a family drives 65 miles per hour for 208 miles of the trip. If the entire trip was 348 miles and to
vodka [1.7K]
From information given, we know
208 miles was at rate of 65 mph. so divide total mileage by speed to get time spent.

208 ÷ 65 = 3.2 hours

So the rest of the trip took 6 - 3.2 = 2.8hours to travel another 348 total miles minus the 208 miles driven at 65mph is 140 miles.

140 miles divided by 2.8 hours gives speed

140 ÷ 2.8 = 50 miles per hour
4 0
3 years ago
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