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3 years ago

I don’t no what this answer is -2(6x+5)=110

Mathematics

1 answer:

ella [17]3 years ago

3 0

Answer:

x = -10

Step-by-step explanation:

Divide each side by -2

6x + 5 = -55

Minus 5 each side

6x = -60

Divide by 6

x = -10

You might be interested in

Out of 75,000 voters in a constituency 65%

serious [3.7K]

<h3>Answer:</h3>

$\large\boxed{35\%\,\text{did not vote;}\,48,750\,\text{voted}}$

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the amount of people that did not vote and the percentage of people that didn't vote.

We know that 65% of people voted and percents are out of 100%.

We would subtract 65 form 100 to get out percentage that didn't vote.

$100-65=35$

35% of people didn't vote.

Now, we can solve the next question.

A total of 75,000 people voted. What we're going to have to do is find how much of 75,000 is 65%.

We would do this by multiplying 75,000 by 0.65

$75,000*0.65=48,750$

This means that 48,750 people voted.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

3 0

2 years ago

On an alien planet with no atmosphere, acceleration due to gravity is given by g = 12m/s^2. A cannonball is launched from the or

almond37 [142]

Answer:

a) $\vec r (t) = \left[(90\cdot \cos \theta)\cdot t \right]\cdot i + \left[(90\cdot \sin \theta)\cdot t -6\cdot t^{2} \right]\cdot j$ , b) $\theta = \frac{\pi}{4}$ , c) $y_{max} = 84.375\,m$ , $t = 3.75\,s$ .

Step-by-step explanation:

a) The function in terms of time and the inital angle measured from the horizontal is:

$\vec r (t) = [(v_{o}\cdot \cos \theta)\cdot t]\cdot i + \left[(v_{o}\cdot \sin \theta)\cdot t -\frac{1}{2}\cdot g \cdot t^{2} \right]\cdot j$

The particular expression for the cannonball is:

$\vec r (t) = \left[(90\cdot \cos \theta)\cdot t \right]\cdot i + \left[(90\cdot \sin \theta)\cdot t -6\cdot t^{2} \right]\cdot j$

b) The components of the position of the cannonball before hitting the ground is:

$x = (90\cdot \cos \theta)\cdot t$

$0 = 90\cdot \sin \theta - 6\cdot t$

After a quick substitution and some algebraic and trigonometric handling, the following expression is found:

$0 = 90\cdot \sin \theta - 6\cdot \left(\frac{x}{90\cdot \cos \theta} \right)$

$0 = 8100\cdot \sin \theta \cdot \cos \theta - 6\cdot x$

$0 = 4050\cdot \sin 2\theta - 6\cdot x$

$6\cdot x = 4050\cdot \sin 2\theta$

$x = 675\cdot \sin 2\theta$

The angle for a maximum horizontal distance is determined by deriving the function, equalizing the resulting formula to zero and finding the angle:

$\frac{dx}{d\theta} = 1350\cdot \cos 2\theta$

$1350\cdot \cos 2\theta = 0$

$\cos 2\theta = 0$

$2\theta = \frac{\pi}{2}$

$\theta = \frac{\pi}{4}$

Now, it is required to demonstrate that critical point leads to a maximum. The second derivative is:

$\frac{d^{2}x}{d\theta^{2}} = -2700\cdot \sin 2\theta$

$\frac{d^{2}x}{d\theta^{2}} = -2700$

Which demonstrates the existence of the maximum associated with the critical point found before.

c) The equation for the vertical component of position is:

$y = 45\cdot t - 6\cdot t^{2}$

The maximum height can be found by deriving the previous expression, which is equalized to zero and critical values are found afterwards:

$\frac{dy}{dt} = 45 - 12\cdot t$

$45-12\cdot t = 0$

$t = \frac{45}{12}$

$t = 3.75\,s$

Now, the second derivative is used to check if such solution leads to a maximum:

$\frac{d^{2}y}{dt^{2}} = -12$

Which demonstrates the assumption.

The maximum height reached by the cannonball is:

$y_{max} = 45\cdot (3.75\,s)-6\cdot (3.75\,s)^{2}$

$y_{max} = 84.375\,m$

7 0

3 years ago

In a volleyball game, Caroline served the ball over the net 16 out of 20 times. What percent did she not make her serve over the

brilliants [131]

16/20. We reduce that and get 4/5.

After this it's much simpler to chage it.

100 dividied by 5 is 20. (20,40,60,80,100)

So the 4th number (4/100)

is 80. 80%.

20% she didn't and 80% she did :) (100-80)

7 0

3 years ago

Read 2 more answers

Mrs. Petruzziello’s class is working on a math project. There are 5 groups. Mrs. Petruzziello has 3 packs of construction paper

aliya0001 [1]

Answer:

1/5

Step-by-step explanation:

1 pack of paper/ 5 groups

or all three groups

3/5

6 0

2 years ago

In a certain town there were 235 robberies last year. This year the number of robberies has gone down 33%. How many robberies we

HACTEHA [7]

Answer:

157 is the answer

Step-by-step explanation:

If you go on google and type 235- 33% you get 157.45 and to the nearest whole number is 157 hope that helped.

6 0

3 years ago