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Tresset [83]
3 years ago
13

5x – (9x + 14) < 3(x + 10) - 2

Mathematics
2 answers:
erastovalidia [21]3 years ago
5 0
Sorry I don’t know I just need points to ask my question
kipiarov [429]3 years ago
3 0

Answer:

5x-(9x+14)=−4x−14

3(x+10)-2=3x+28

So, 3(x+10)-2 is greater than 5x-(9x+14)

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The prism shown has a volume of 300 m3. A prism has a length of 7.5 meters, width of w, and height of 5 meters. What is the widt
Shalnov [3]

Answer:

6

Step-by-step explanation:

7.5*5=37.5

200/37.5=6

3 0
3 years ago
Read 2 more answers
Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second car
Nikolay [14]

Answer:

probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3

Step-by-step explanation:

First of all;

Let B1 be the event that the card with two red sides is selected

Let B2 be the event that the

card with two black sides is selected

Let B3 be the event that the card with one red side and one black side is

selected

Let A be the event that the upper side of the selected card (when put down on the ground)

is red.

Now, from the question;

P(B3) = ⅓

P(A|B3) = ½

P(B1) = ⅓

P(A|B1) = 1

P(B2) = ⅓

P(A|B2)) = 0

(P(B3) = ⅓

P(A|B3) = ½

Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;

P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]

Thus;

P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]

P(B3|A) = (1/6)/(⅓ + 0 + 1/6)

P(B3|A) = (1/6)/(1/2)

P(B3|A) = 1/3

5 0
3 years ago
the line y=2x-4 is dilated bt a scale factor of 3/2 and centered at the origin. Write an equation that represent that image of t
Veseljchak [2.6K]

Answer:  y = 2x -6

Step-by-step explanation:

Since, If (x,y) represents the coordinates of a line, then after dilation about the origin by the scale factor k, the coordinates of the resultant line will get by the rule,

(x,y)\rightarrow (kx,ky)

Here, The equation of the given line is,

y = 2x - 4

x-intercept and y-intercept of the line are (2,0) and (0,-4) respectively,

Hence, the line y = 2x - 4 will be passes through the points (2,0) and (0,-4),

By the above property,

The dilated line about the origin will be passes through the points (3,0) and (0,-6),   ( Because (3/2× 2, 3/2×0) = (3,0) and (3/2×0, 3/2×-4) = (0,-6) )

Hence, the equation of transformed line after dilation,

y-0 = \frac{-6-0}{0-3}(x-3)    

y-0=2(x-3)

y-0=2x-6

y=2x-6

7 0
3 years ago
Read 2 more answers
Which two operations are needed to write the expression that represents “five less than the quotient of a number and three”?
harina [27]
The answer would be multiplication and subtraction
8 0
3 years ago
What are the factors of 2(x^2+4x+21)
Keith_Richards [23]

Answer:

that equation isn't factorable

7 0
3 years ago
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