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dedylja [7]
3 years ago
13

the poll showed the incumbent mayor had the support of 12% of the voters plus or minus 3 percent points. Write an inequality in

absolute value
Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0

Answer: first you turn the  percentage into a decimal 12%=0.12

Step-by-step explanation

then u solve

0.12 multiply by 3 =36 and thats it for multiply i will show you divison but my hand is tried of typing lol .but i hope thats what you were lookin for byeeee enjoy!!!!!!!......yaddd..lol

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A chef plans to mix 100% vinegar with Italian dressing, The Italian dressing contains 8% Vinegar,
kolezko [41]

Answer:

  • 15 mL of 100% vinegar
  • 45 mL of Italian dressing

Step-by-step explanation:

Let v represent the amount of 100% vinegar to be included in the mixture. Then the amount of vinegar in the overall mixture is ...

  1.00v + 0.08(60 -v) = 0.31(60)

  0.92v = 60(0.23) . . . . . . . collect terms, subtract .08(60)

  v = 60(0.23/0.92) = 15 . . . mL of vinegar

  60 -v = 45 . . . mL of dressing

15 mL of vinegar and 45 mL of Italian dressing should be used.

3 0
3 years ago
Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k​
Nuetrik [128]

Answer:

\displaystyle k = \frac{34}{3}

Step-by-step explanation:

We are given the polynomial:

\displaystyle P(x) = 3x^3 - kx^2 + 5x + k

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k  \end{aligned}

This must equal zero. Hence:

\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3}  \end{aligned}

In conclusion, <em>k</em> = 34/3.

6 0
2 years ago
A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weig
stealth61 [152]

Answer:

0.45

Step-by-step explanation:

For a uniform distribution,

f(x) = \frac{1}{b - a} \\

where a is the minimum and b the maximum\\

cumulatively, F(x) = \frac{x - a}{b -a}

F(x >= 24.9) = \frac{24.9 - 24}{26 - 24} = \frac{0.9}{2} = 0.45

6 0
3 years ago
Determine whether more or less than the percent budgeted was actually spent.
SSSSS [86.1K]

The amount spent as a percentage of the budget can be found from

... (actual amount)/(total budget) × 100%

... = (actual amount)/3600×100%

... = ((actual amount)/36)%

For housing, this is

... (820/36)% = 22.78% . . . . less than budget for housing

For transportation, this is

... (370/36)% = 10.28% . . . . more than budget for transportation

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=8%20-%203w%20%3D%20%20-%202w" id="TexFormula1" title="8 - 3w = - 2w" alt="8 - 3w = - 2w" ali
lapo4ka [179]

3w+8=50

3w=50-8=42

w= 42/3=14

7 0
3 years ago
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