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stira [4]
3 years ago
9

What is the area of this figure?​

Mathematics
2 answers:
Jobisdone [24]3 years ago
5 0

Answer:

537 cm²

Step-by-step explanation:

21 × 31 = 651 cm²

4 × 12 = 48 cm²

6 × 11 = 66 cm²

651 - 48 - 66 = 537 cm²

Vsevolod [243]3 years ago
3 0

Answer:

104

Step-by-step explanation:

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Solve for x and explain the steps:<br> 3x-6=4(2-3x)-8x
mote1985 [20]

Answer: x = 14/23

Step-by-step explanation:

3x-6=4(2-3x)-8x

3x-6=8-12x-8x --> Expand 4(2-3x)

3x-6=8-20x --> Collect like terms

3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side

3x=-20x+14

3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side

23x=14

\frac{23x}{23}=\frac{14}{23} --> Divide both sides by 23

x = 14/23

7 0
2 years ago
Sam is moving bags of soil from a loading dock into a storeroom. The top soil weighs 40 pounds per bag and the mulch weighs 20 p
Levart [38]

Answer:

40x+20y\leq 480

Step-by-step explanation:

Givens

  • The top soil weighs 40 pounds per bag.
  • The mulch weighs 20 pounds per bag.
  • The cart can only carry up to 480 pounds.

Notice that the restriction is a maximum of 480 pounds, that means the inequality must include the sign \leq.

Now, let's call x the top soil and y the mulch, the inequality that represents this problem, would be

40x+20y\leq 480

3 0
3 years ago
Read 2 more answers
A + B = 40 B + C = 50 C + A = 30 Give a whole number value for A, B and C to make the above true. A = _____ B = _____ C = _____
Anestetic [448]

Answer:

a=10 b=30 c=20

Step-by-step explanation:

10+30=40 30+20=50 20+10=30

4 0
3 years ago
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
brilliants [131]
\bf \begin{array}{lllll}&#10;&x_1&y_1\\&#10;%   (a,b)&#10;&({{ -9}}\quad ,&{{ -3}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies -6&#10;\\\\\\&#10;% point-slope intercept&#10;\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-3)=-6[x-(-9)]&#10;\\\\\\&#10;y+3=-6(x+9)\implies y+3=-6x-54\implies y=-6x-57
8 0
3 years ago
A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the p
andreyandreev [35.5K]

Answer:

B) 0.894

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

A local animal rescue organization receives an average of 0.55 rescue calls per hour.

This means that \mu = 0.55

Probability that during a randomly selected hour, the organization will receive fewer than two calls.

P(X < 2) = P(X = 0) + P(X = 1)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577

P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317

P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894

5 0
3 years ago
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