The sum of three numbers is 154
The second number is 8 times the first.
The third number is 16 less than the second.
What is the third number?

Answer:

[tex] \huge y = \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]7(1 - y) = -3(y-2)[/tex]

Expand the terms in the bracket

That's

[tex]7 - 7y = - 3y + 6[/tex]

Add 3y to both sides of the equation

[tex]7 - 7y + 3y = 3y - 3y + 6 \\ 7 - 4y = 6[/tex]

Subtract 7 from both sides by the equation

[tex]7 - 7 - 4y = 6 - 7 \\ - 4y = - 1[/tex]

Divide both sides by - 4

[tex] \frac{ - 4y}{ - 4} = \frac{ - 1}{ - 4} \\ [/tex]

We have the final answer as

[tex]y = \frac{1}{4} \\ [/tex]

Hope this helps you

The number of hours that Javier spends on cardio and weightlifting will be one hour.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Every Saturday, Javier works out for two hours. His workout consists of two components. Javier works out with cardio and weights.

If he spends the same amount of time on both parts.

Let x be the number of hours spent on weightlifting. Then the equation is given as,

x + x = 2

2x = 2

x = 1 hour

The number of hours that Javier spends on cardio and weightlifting will be one hour.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Yes and no. It depends on the situation and how you're asking

Answer:

37,502

Step-by-step explanation:

With the provided details we have:

Range of number = 37,493 - 37,503

The number is even number

Therefore, possible options are:

37,494

37,496

37,498

37,500

37,502

When number rounded to nearest tens, is  less than the original number

Rounding off above numbers to nearest tens we have

37,490

37,500

37,500

37,500

37,500

There is only 2 numbers which full fill the condition of original number number being smaller than the rounded off number.

37,494 and 37,502

The next condition is on rounding to nearest 1,000's

37,494 rounded to 37,000

37,502 rounded to 38,000

Provided that the rounded number in 1000's is more than the original mystery number.

37,000 is less than 37,494 thus not feasible.

38,000 is more than 37,502

This is the mystery number.

Answer:

500

Step-by-step explanation:

follow me life is soooooooo slow at this age............................ ................................. .......

Answer:

B..

lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

4r³=-2916

r³=-729

r=-9

b)s=[tex]\frac{4}{1+9}[/tex]

    =[tex]\frac{4}{10}[/tex]

    =[tex]\frac{2}{5}[/tex]

Answer:

The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046

Step-by-step explanation:

Probability is the likelihood or chance of an event occurring. Probability can be determined using the formula below

Probability = Number of favorable outcome / Total number of possible outcomes.

From the question, we are to determine the probability of reaching into the box and randomly drawing the chip numbered 170.

Here, the number of favorable outcome is 1 (which is the chip numbered 170)

Total number of possible outcomes is 216 ( all the 216 identical plastic chips)

Therefore,

Probability = 1/216 or 0.0046

This is the probability of randomly drawing the chip numbered 170.

The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046

Answer:

Step-by-step explanation:

1/5 of 115= 23

so in 15mins he reads 23 pages.

15mins x 4=60mins

23x4=92

Have a nice day sunshine

Answer:

m<ZJNK=47°

Step-by-step explanation:

m<ZJNK=103°-24°-32°=47°

Answer:

a=110

b=70

c=110

d=70

e=110

f=70

g=110

Answer:

22 35

Step-by-step explanation:

Answer:

Number of CDs in Walter's collection = x = 36

Step-by-step explanation:

x denotes number of CDs in Walter's collection.

Also, the number of CDs in Brian's collection is 3 times the number in Walter's collection.

Number of CDs in Brian's collection [tex]=3x[/tex]

Total number of CDs in both Walter's collection and Brian's collection = 144

[tex]x+3x=144\\4x=144\\x=\frac{144}{4}\\ x=36[/tex]

So,

Number of CDs in Walter's collection = x = 36

Answer:

12 letters cost 6.30 dollars

Step-by-step explanation:

hope this helps

Answer:

$5.40 for 12 letters

Step-by-step explanation:

you need to find the cost for 1 unit then multiply that by 12, so you take the cost (4.50) and divide it by letters (10) so you get 0.45. So that is the cost of q letter, then you that that unit rate and multi[ly it by the number that you need to figure out (12) so .45x12=5.40  

12 letters=$5.40

Answer:

Step-by-step explanation: 7 miles: 3/4 hour, 9/8 miles: 5/6 hour, and 4 miles: 3 and 1/3 hour.

hope this helps !! <3

The ratios that have a unit rate is 9/8 miles:5/6hours and 7miles: 3/4 hours

Unit rate is the ratio of the distance travelled o the time taken.

For us to know which of the ratios has a unit rate greater than 1, we need to divide the distance by the time as shown;

If distance = 9/8 miles and time = 5/6 hours

[tex]Unit \ rate =\frac{(9/8)}{(5/6)}\\Unit \ rate =\frac{9}{8} \times \frac{6}{5}\\Unit \ rate = \frac{54}{40} \\Unit \ rate =1.35 miles/hour[/tex]

Hence the ratio that has a unit rate is 9/8 miles:5/6hours

If distance = 7 miles and time = 3/4 hours

[tex]Unit \ rate =\frac{7}{(3/4)}\\Unit \ rate =\7 \times \frac{4}{3}\\Unit \ rate = \frac{28}{3} \\Unit \ rate = 9.33miles/hour[/tex]

Hence the ratio that has a unit rate is 7 miles:3/4hours

Learn more here: https://brainly.com/question/8406966

Answer:

96

Step-by-step explanation:

a lot fffdvxv chfx yhdfgddbf

Answer:

1.) m<6 and m<8=142, m<9=38

2.) m<7 and m<9=66, m<8=114

note: brainliest would be appreciated.

Step-by-step explanation:

We want to find the slope of a line perpendicular to 15*x + 9*y = 189.

The slope of the line perpendicular to the given line is 9/15.

First, a general line written in the slope-intercept form is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

And two lines are perpendicular if one has a slope that is equal to the inverse of the opposite of the other line's slope.

So, to find the slope of the line perpendicular to 15*x + 9*y = 189, first, we need to find the slope of this line.

To do it, we need to isolate y.

9y = -15x + 189

y = (-15/9)*x + 189/9

So the slope is -15/9

A perpendicular line to this must have a slope equal to the inverse of the opposite of this, so the slope of the perpendicular line is:

-(-9/15) = 9/15

The slope of the line perpendicular to the given line is 9/15.

If you want to learn more, you can read:

https://brainly.com/question/9379960

Answer:

x = 74, y = 53

Step-by-step explanation:

x and 106 are supplementary angles, they add to 180. 2y and x are also supplementary angles, and using substitution, you get 2y is equal to 106, so y is 53. x will be 74 degrees.

Answer:

add

Step-by-step explanation:

increased is another word for add

Answer:

More, added, addition......

Just the words that are making the number bigger.

Answer:

y=42.3333333333 (repeating)

Step-by-step explanation:

You need to find the corresponding side. You can see D H is corresponding to E C. So here is what you have to do, find x to (8x - 43) and (2x + 13).

2x + 13 + 8x - 43= 90

10x -30 = 90

     +30  +30

10x = 120

/10     /10 = 12

to check if this is right take x which is 12 and plug it in.

8 x 12= 96 then 96 - 43= 53

2 x 21= 24 then 24 + 13= 37

Next you take 53 and 37 and add it together

53 + 37= 90

about that corresponding side, now you know D H and E C both equal 53

Now you can solve your equation.

53 + 2y + y= 180

53 + 3y = 180

-53           -53

         3y = 127

         /3     /3    

y = 42.333333 (repeating)

to check if this is right take y which is 42.3333333 (repeating) and plug it in.

2y means to multiply y two times so...

42.3333333 (repeating)+ 42.33333333 (repeating)= 84.6666666 (repeating)

y = 42.333333333 (repeating)

E C = 53

add all the numbers together

42.333333 (repeating) + 84.66666666 (repating)+ 53= 180

Therefore y equals 42.33333333 (repeating)

Given:-

Step-by-step explanation:

4z+7= 31

4z= 31-7

4Z= 24

Z= 24/4( dividing by 2)

z = 6/1

Answer:

call me daddy boo boo and you want an uppy uppy so say please and ill give ou uppy for answer

Answer:

2/15 or 0.13

Step-by-step explanation:

Answer:

0.13328

Step-by-step explanation:

it's easier to write in that form