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EastWind [94]
3 years ago
8

Alicia and her father are painting a wall in their basement. Alicia shaded a grid to show how much of the wall they have painted

so far. What percent of the grid is shaded?
A hundredths grid with 40 squares shaded.
Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

Answer:

40% of the grid is shaded

Step-by-step explanation:

A hundredths grid with 40 squares shaded is represented as

  • ratio: 40/100, 40 to 100, or 40 ÷ 100
  • decimal: 40/100 = 0.4
  • percent: 0.4*100 = 40%

Percent is obtained multiplying the ratio or the decimal by 100

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The price of a video game at Game Word has increased from $36 to $45 each. What was the percent change?
andriy [413]

Step-by-step explanation:

price difference= $45-$36

=$9

now,

x% of $45=$9

or, x/100 ×45 =9

or, x/20 ×9=9

or, x/20=1

therefore, x= 20%

3 0
3 years ago
Factor x^2+6x-16 into the form (x+a)(x-b), what is a and b?
vfiekz [6]

Answer:

a=-8 b=2

Step-by-step explanation:

x^2+6x-16

x^2+(8-2)x-16=0

x^2+8x-2x-16=0

X(X+8)-2(X+8)=0

(X+8)(x-2)=0

Compare with (X+a)(X+b)

Where we get a=-8 b=2

8 0
3 years ago
Or a population, N = 10,000, μ = 121, and σ = 21. Find to 2 decimal places the z value for
Ugo [173]

Answer:

The z value is - 2.88

Step-by-step explanation:

The formula of the z-score of a population is z = (x¯ - μ)/(σ/\sqrt{n})

The given in the problem is:

  • μ = 121
  • σ = 21
  • x¯ = 112.35
  • n = 49

Let us substitute all of these values in the rule above

z=\frac{112.35-121}{\frac{21}{\sqrt{49}}}

Simplify up and down

z=\frac{-8.65}{\frac{21}{7}}

z=\frac{-8.65}{3}

z = - 2.883333

Round it to 2 decimal places

∴ z = - 2.88

The z value is - 2.88

7 0
4 years ago
If two angles are supplementary, do they form a linear pair? Explain.
sweet-ann [11.9K]
<span>A linear pair of angles, is formed when two lines intersect.
Supplementary are two angles that add up to 180, so yes, they do in fact form a linear pair.
</span>
8 0
4 years ago
Read 2 more answers
Solve the following equation |x+8|=2x-3
Aleks04 [339]

2x-3\geq0\\2x\geq3\\x\geq\dfrac{3}{2}\\\\|x+8|=2x-3\\\\x+8=2x-3 \vee x+8=-2x+3\\\\x=11 \vee 3x=-5\\\\x=11 \vee x=-\dfrac{5}{3}\\\\-\dfrac{5}{3}\not \geq \dfrac{3}{2}\\\\\boxed{x=11}

7 0
3 years ago
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