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meriva
4 years ago
9

Which values of x are solutions to the inequality?

Mathematics
1 answer:
Blababa [14]4 years ago
8 0

Answer:

B. x=-210

D. x=-201

Step-by-step explanation:

Given:

The inequality for 'x' is given as:

x

The above inequality tells us that, the value of the variable 'x' is less than -200.

-200 is a negative number. So, for a negative number, the larger the value of the number, the smaller the number is.

Example: -2 is less than -1 although 2 has a greater magnitude than 1.

Therefore, the numbers that are less than -200 are -210 and -201.

So, the values of 'x' that satisfy the given inequality are -201 and -210

Thus, the correct options are (B) and (D).

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Solve the inequality<br> 42 &gt; x-18
faltersainse [42]

Answer:

x < 60

Step-by-step explanation:

42 > x-18  (add 18 to both sides)

42 + 18 > x

60 > x

x < 60

8 0
3 years ago
Solve the equations by elimination method
notsponge [240]

Answer: 1375

Step-by-step explanation:

70-2= 70

70/2=35 (x=35)

4x=140

x^35=1225

1225+140=1375

3 0
3 years ago
Given that a randomly chosen quadrilateral has four right
motikmotik

Answer:

0.25

Step-by-step explanation:

complete question:  

Bart found 20 quadrilaterals in his classroom. He made a Venn diagram using the properties of the quadrilaterals, comparing those with four equal side lengths (E) and those with four right angles (R).

See attachment for the figure.

SOLUTION:

At Venn diagram there are 4 parts (20 pieces):

-> blue colored - quadrilaterals having four equal side lengths (3 pieces)

-> orange colored - quadrilaterals with four right angles (6 pieces)

-> blue and orange colored - quadrilaterals with four right angles and with four equal side lengths (2 pieces)

-> white colored - quadrilaterals without previous two properties (9 pieces).

Considering events:

A -> a randomly chosen quadrilateral has four right angles;

B -> a randomly chosen quadrilateral has four equal side lengths;

By using formula :  P(B|A)=\dfrac{Pr(A\cap B)}{Pr A}  in order to find probability that a randomly selected quadrilateral with 4 right angles also has four equal side lengths:

P(A\cap B)=\dfrac{2}{20},\\P(A)=\dfrac{8}{20},\\P(B|A)=\dfrac{\frac{2}{20}}{\frac{8}{20}} =\dfrac{2}{8}=\dfrac{1}{4} =0.25

3 0
3 years ago
The concentration of a drug in the body decreases exponentially after a dosage is given. In one clinical study, adult subjects a
Yanka [14]

Answer:

Step-by-step explanation:

14 = 1000 e^{ k*1}

.014 = e^{k*1}

ln(.014) = k ln(e)

k = -4.268

~~~~~~~~~~~~~~~~~~

after 3 hrs

1000 e^{ -4.268*3}

0.00274

~~~~~~~~~~~~~~~

4 = 1000 e^{ -4.268*t}

.004 =  e^{ -4.268*t}

ln(.004)/-4.268 = t

t = 1.29368 hrs

4 0
3 years ago
The area of a rectangular wall of a barn is 42 square feet. Its length is 8 feet longer than twice its width. Find the length an
Furkat [3]

Answer:

The answer to your question is: length = 14 ft; width = 3 ft

Step-by-step explanation:

Data

Area = 42 ft²

length = 8 + 2w

w = width = ?

length = ?

Formula

Area = length x width = l x w

Substitution

                     42 = (2w + 8)w

                     42 = 2w² + 8w

                     2w² + 8w - 42 = 0

                                                                  Dividing by 2

                      w² + 4w - 21 = 0                 Factorize

                     (w + 7) (w - 3) = 0

                     w1 = -7                      w2 = 3

     It's not possible to have negative widths

So the answer is w = 3 ft

      length = 2(3) + 8

      length = 6 + 8

      length = 14 ft

               

8 0
3 years ago
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