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igomit [66]
3 years ago
11

The sum of three consecutive integers is 108. Which equation would be used to solve this word problem? (HINT: The equation has b

een simplified some...)
Mathematics
2 answers:
Shtirlitz [24]3 years ago
4 0
3 consecutive integers : x, x + 1, x + 2

x + (x + 1) + (x + 2) = 108...ur equation
3x + 3 = 108...ur equation that has been simplified some
Ilia_Sergeevich [38]3 years ago
3 0
The easiest way to solve problems with consecutive integers is set the first as:
1st number =( x-1)
2nd number = x
3rd number = (x+1) [since all are consecutive)

(x-1) + x + (x+1) = 108
3x = 108
x = 36
Obviously you could have set x. the 1st; x+1 the 2nd & x+2 the 3rd & you would reach the same result x =36
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6. For every 9 customers, the chef prepares 2 loaves of bread.
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Step-by-step explanation:

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4 0
2 years ago
According to the US department of labor, total employment is expected to increase from 146 million in 2000 to 168 million in 201
saveliy_v [14]

Answer:

The percent increase in the employment from the year 2000 to year 2010 is 15.07\%.

Step-by-step explanation:

Given:

Employment in the year 2000 =146 million.

Employment in the year 2010 =168 million.

To find: The percent increase in the employment.

Solution: We have,

Employment in the year 2000 =146 million.

Employment in the year 2010 =168 million.

Increase in employment =168-146=22 million.

Percent increase =\frac{\textrm{Increase in employment}}{\textrm{Original employment}}\times100\%

Percent increase =\frac{22}{146}\times100\%=15.07\%

Hence, the percent increase in the employment from the year 2000 to year 2010 is 15.07\%.

3 0
3 years ago
What is the average rate of change for the function f(x)=3x^2 -5 on the interval −3 ≤ x ≤ −1 ?
Anestetic [448]

Answer:

-12

Step-by-step explanation:

Let b = -1 and a = -3

The average rate of change = \frac{f(b) - f(a)}{b - a}

f(b) = f(-1) = 3(-1)^2 - 5 = 3 - 5 = -2

f(a) = f(-3) = 3(-3)^2 - 5 =27 - 5 = 22

f(b) - f(a) = -2 - 22 = -24

b - a = -1 + 3 = 2

\frac{f(b) - f(a)}{b - a} = -24/2 = -12

4 0
3 years ago
Evaulate the function at the indicated values h(t)=t+(3/t)i find h(x-1)
alex41 [277]

<span>h<span>(t)</span>=<span>t<span>34</span></span>−3<span>t<span>14</span></span></span>

Note that the domain of h is <span>[0,∞]</span>.

By differentiating,

<span>h'<span>(t)</span>=<span>34</span><span>t<span>−<span>14</span></span></span>−<span>34</span><span>t<span>−<span>34</span></span></span></span>

by factoring out <span>34</span>,

<span>=<span>34</span><span>(<span>1<span>t<span>14</span></span></span>−<span>1<span>t<span>34</span></span></span>)</span></span>

by finding the common denominator,

<span>=<span>34</span><span><span><span>t<span>12</span></span>−1</span><span>t<span>34</span></span></span>=0</span>

<span>⇒<span>t<span>12</span></span>=1⇒t=1</span>

Since <span>h'<span>(0)</span></span> is undefined, <span>t=0</span> is also a critical number.

Hence, the critical numbers are <span>t=0,1</span>.

I hope that this was helpful.

6 0
3 years ago
How to write 710,200 in word form
Vilka [71]
Word Form: Seven hundred ten thousand two hundred.
8 0
3 years ago
Read 2 more answers
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