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AlekseyPX
4 years ago
8

rac{2}{3} + 5x = 7 - 2x" alt="4 \frac{2}{3} + 5x = 7 - 2x" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
liq [111]4 years ago
8 0
Convert the mixed number to a improper fraction 5x+2x=7-14/3, collect like terms 7x=7-14/3=7x=7/3, decide seven on both sides x= 1/3
Delicious77 [7]4 years ago
5 0

4 2/3+5x=7-2x

Add 2x to both sides.

4 2/3+7x=7

Subtract 4 2/3 on both sides.

7x=2 1/3

7x=7/3

Divide by 7 on both sides.

x=1/3

answer: x=1/3

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US<br> Evaluate the following<br> expression using x = 10:<br> 5x + 31
svetoff [14.1K]

Answer:

The value is 81

Step-by-step explanation:

We need to find value of 5x+31 when x=10

We have

5\times10+31=50+31\\\\=81

4 0
3 years ago
A game of football consists of a total playing time of 90 minutes and a break of 15 minutes at half time.A football match begins
german
4:45 pm the match will end
4 0
2 years ago
Find the exact value of the trigonometric expression given that sin(u) = -(3/5),
GuDViN [60]

Recall that

\cot(u+v)=\dfrac{\cos(u+v)}{\sin(u+v)}=\dfrac{\cos u\cos v-\sin u\sin v}{\sin u\cos v+\cos u\sin v}=\dfrac{\cot u\cot v-1}{\cot v+\cot u}

Also, recall that for all \theta,

\cos^2\theta+\sin^2\theta=1

With \frac{3\pi}2, we can expect \cos u>0, and with 0, \sin v>0. So from the above identity it follows that

\cos u=\sqrt{1-\sin^2u}=\dfrac45\implies\cot u=\dfrac{\cos u}{\sin u}=-\dfrac43

and

\sin v=\sqrt{1-\cos^2v}=\dfrac8{17}\implies\cot v=\dfrac{\cos v}{\sin v}=\dfrac{15}8

and so

\cot(u+v)=\dfrac{-\frac43\frac{15}8-1}{\frac{15}8-\frac43}=\boxed{-\dfrac{84}{13}}

6 0
3 years ago
PLEASE HELP WILL GIVE BRAINLY
Bogdan [553]

The mean absolute deviation of the scuba diver’s depth over the entire 25 min is 2.4 meters

<h3>What is mean absolute deviation?</h3>

It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance known as the MAD.

We have depths of the scuba diver, in meters

{−9, −18, −16, −13, −14}

We know the formula for the mean absolute deviation:

\rm MAD = \dfrac{\sum |x-X|}{n}

Here n is total number of observation

x is the elements in the data set

X is the mean of the data.

n = 5

x = -70/5 = -14

∑|x-X| = 12

MAD = 12/5 = 2.4 meters

Thus, the mean absolute deviation of the scuba diver’s depth over the entire 25 min is 2.4 meters.

Learn more about the mean absolute deviation here:

brainly.com/question/10528201

#SPJ1

6 0
2 years ago
A jelly bean manufacturer produces 1,250,000 jelly beans per hour. How many hours does it take to produce 10,000,000 jelly beans
fgiga [73]
Answer: 0.8hrs

I can just use rationales formats


4 0
3 years ago
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