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3 years ago

Express 140 as a product of its prime factors

Mathematics

1 answer:

gogolik [260]3 years ago

4 0

Answer:

140=7×2×2×5

Step-by-step explanation:

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46= 4x - 6 help me ok

icang [17]

Step-by-step explanation:

a little messy but hope it helps :)) !!

7 0

3 years ago

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You use 240 cubic inches of clay to make a sculpture shaped as a rectangular prism. The width is 4 inches less than the length a

murzikaleks [220]

Answer:

L: 6

W: 2

H: 20

Step-by-step explanation:

First, we need to know the expression to calculate the volume of rectangular prism which is:

V = L * W * H

The only thing we know is that the volume is 240 in³ and that the width is 4in less than length, the height is 2 in more than 3 times length. So, everything is set in function of the length, therefore, we'll call L = x and then solve for x

L = x

W = x - 4

H = 3x + 2

Let's replace the data in the formula of volume:

240 = x * (x - 4) * (3x + 2)

240 = (x² - 4x)(3x + 2)

Solving this we have:

240 = 3x³ - 10x² - 8x

Rearranging the equation:

3x³ - 10x² - 8x - 240 = 0

Now, in order to solve this, we need to factorize the left side:

3x³ - 18x² + 8x² - 48x + 40x - 240 = 0

3x²(x - 6) + 8x(x - 6) + 40(x - 6) = 0

(x - 6)(3x² + 8x + 40) = 0

Now that we have this, we can solve the value of x.

x1 -----> x - 6 = 0 ---> x = 6

x2 ---> (3x² + 8x + 40) = 0

Δ = 8² - 4*3*40 = 64 - 480 = -416

This value of -416 means that it's not possible to get a real number as x (only the imaginary numbers), therefore the value of x should be 6

x = L = 6

With this value we can calculate W and H:

H = 6 - 2 = 4

W = (3*6) + 2 = 20

7 0

3 years ago

Please need help asap!!

AfilCa [17]

the answer is false

6 0

3 years ago

A map scale is 1:1000. what would 10cm represent in metres?

MAVERICK [17]

Answer:

10000 metres

Step-by-step explanation:

You calculate by multiplying the number of metres in the ratio by 10 centimetres.

Your answer should come out to 10000 (10:10000)

8 0

3 years ago

A six-sided number cube is tossed and a coin is flipped.The sample space is {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}.Wha

aleksandr82 [10.1K]

Since you're already given the sample space, we can simply count how many outcomes satisfy the request, and divide that number by the cardinality of the sample space.

In other words, we're using the formula

$P(E) = \dfrac{\text{Cases in favour of event }E}{\text{Number of possible cases}}$

So, the outcomes with a number higher than two are

3H, 4H, 5H, 6H, 3T, 4T, 5T, 6T

out of these outcomes, we can filter those with heads flipped:

3H, 4H, 5H, 6H

So, there are 4 cases out of 12, and the probability is thus

$\dfrac{4}{12} = \dfrac{1}{3} \approx 0.33$

4 0

3 years ago

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