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4 years ago

Solve this inequality 2(4x-3)≥-3(3x)+5x?

Mathematics

2 answers:

Y_Kistochka [10]4 years ago

7 0

The first option, x is greater than and equals to 0.5

Basile [38]4 years ago

5 0

Answer:

x ≥0.5

Step-by-step explanation:

Given : 2(4x-3)≥-3(3x)+5x.

To find : solve this inequality.

Solution : We have given that

2(4x-3)≥-3(3x)+5x.

Distributes 2 over (4x-3) and -3 over 3x.

8x - 6 ≥ -9x + 5x .

8x - 6 ≥ -4x .

On adding both side by 4x

8x + 4x - 6 ≥ 0 .

12 x - 6 ≥ 0

On adding both sides by 6.

12 x ≥ 6.

On dividing both sides by 12.

x ≥ $\frac{6}{12}$ .

x ≥ $\frac{1}{2}$ .

x ≥0.5.

Therefore, x ≥0.5

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Ben walks 25 miles from home to work. If he walks the first 5 miles in 1 hour, the second 5 miles in 1.4 hours, the third 5 mile

natka813 [3]

Answer:

The total time taken to complete 25 miles is 7.6 hours.

Solution:

Ben walks 5 miles in 1 hour,

Second 5 miles in 1.4 hours,

Third 5 miles in 1.7 hours,

Last 5 miles in 1.8 hours

So he walked total 20 miles in (1+1.4+1.7+1.8) hours = 5.9 hours = 6 hours (approximately)

So his average speed is $\left(\frac{20}{6}\right)$ miles/hours = 3.33 miles/hours.

i.e. he travels 3.3 miles in 1 hour,

Then, he travels 1 miles in $\left(\frac{1}{3.3}\right)$ hours

Hence the total time he will take to walk 25 miles is $\left(25 \times\left(\frac{1}{3.3}\right)\right) \text { hours }$ $\Rightarrow \left(\frac{25}{3.3}\right) \text { hours } = 7.5757 hours$

That is approximately 7.57 or 7.6 hours.

8 0

3 years ago

What is X squared +3x-70

Aleksandr-060686 [28]

Answer:

x = 7, x = -10

Step-by-step explanation:

$x^2+3x-70 = 0$

Use the quadratic formula.

$x = \frac{-3 + \sqrt{3^2-4(1)(-70)} }{2(1)} \\x = \frac{-3 - \sqrt{3^2-4(1)(-70)} }{2(1)} \\$

Solve.

x = 7, x = -10

You can also factor if you want - that is a faster method.

8 0

3 years ago

Please help me anyone ???????

tester [92]

Probability =
(number or amount of possible successes)(total number or amount of possible outcomes)

Area of any circle is (pi) x (radius squared)

Area of the whole board = (pi) x (13 squared) = 169 pi square inches

Area of the shaded region = (pi) x (5 squared) = 25 pi square inches

Probability = (success area) / (total possible area) = 25pi/169pi = 0.15 (rounded)

Notice that if you do it my way ... keep 'pi' in the fraction ... you don't even
need to know what the value of 'pi' is, because there's one in the top and
bottom of the fraction, and they cancel.

6 0

3 years ago

Solve equation 0.3 :4=9:y

elixir [45]

Answer:

You should use photomath, it would be more easier for u. Oh, and by the watñy Y=12

3 0

3 years ago

This is solving systems by substituting y=-2x+5 3y=-x-5

jok3333 [9.3K]

Answer:

y = - 3

Step-by-step explanation:

3(-2x+5)=-x-5

-6x+15=-x-5

-5x=-20

x=4

y=-2(4)+5

y=-3

7 0

3 years ago