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stiv31 [10]
3 years ago
12

The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole. Fraction: D

ecimal: Percent: %​

Mathematics
1 answer:
Igoryamba3 years ago
7 0

Answer:

Fraction = \frac{19}{50}

Decimal = 0.38

Percent = 38%

Step-by-step explanation:

Number of shaded rectangles = 38

Total number of rectangles = 100

Fraction represented by the shaded area = \frac{\text{Number of blocks shaded}}{\text{Total number of blocks}}

                                                                     = \frac{38}{100}

                                                                     = \frac{19\times 2}{50\times 2}

                                                                     = \frac{19}{50}

Decimal form of the shaded area = \frac{38}{100} =  0.38

Percent of the shaded area = \frac{38}{100} = 38%

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Law Incorporation [45]

Recall the binomial theorem.

(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k

1. The binomial expansion of \left(1+\frac x3\right)^7 is

\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}

Observe that

k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x

k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2

When we multiply these by 8-9x,

• 8 and \frac73 x^2 combine to make \frac{56}3 x^2

• -9x and \frac73 x combine to make -\frac{63}3 x^2 = -21x^2

and the sum of these terms is

\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}

2. The binomial expansion is

\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k

We get the a^6b^2 term when k=2 :

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6 0
1 year ago
Matthew makes 5 apple pies for every 3 blueberry pies last week Matthew made 15 blueberry pies how many apple pies did he make
KIM [24]

Answer:

25

Step-by-step explanation:

5:3

3*5=15

This means that 5 apple pies times 5.

5*5=25

<u>25</u>:15

3 0
4 years ago
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ZanzabumX [31]

sorri no se _______________________________

Step-by-step explana

5 0
3 years ago
Solve the absolute value equation. If no solution write NO SOLUTION.<br> -{2x + 3] + 8<br> 12
Natasha2012 [34]

Answer:

If problem is "-|2x+3|+8=12"

then there is (<em>no solution.)</em>

Step-by-step explanation:

Let's solve your equation step-by-step.

−|2x+3|+8=12

Step 1: Add -8 to both sides.

−|2x+3|+8+−8=12+−8

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Step 2: Divide both sides by -1.

−|2x+3|=4

   -1       -1

|2x+3|=−4

Step 3: Solve Absolute Value.

|2x+3|=−4

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4 0
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omeli [17]
There are 8 sets of 21 cups in 168 cups so 9 times 8 is 72
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3 years ago
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