<img src="https://tex.z-dn.net/?f=8a%283b%2B6c-7c%29" id="TexFormula1" title="8a(3b+6c-7c)" alt="8a(3b+6c-7c)" align="absmiddle"

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inysia [295]

2 years ago

class="latex-formula">

Mathematics

1 answer:

tino4ka555 [31]2 years ago

8 0

Answer:

24ab-8ac

Step-by-step explanation:

Assuming you want to simplify it.

Original equation: 8a(3b+6c-7c)

Apply 8a to each variable in the paranthesis: (8a)(3b)+(8a)(6c)+(8a)(-7c)

After multiplication: 24ab+48ac-56ac

Combine like terms: 24ab-8ac

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You want to find out whether caffeine mitigates the effect of alcohol on reaction time. To study this, you administer to your su

Ymorist [56]

Answer:

First Question

lower limit of 9 mph $j = 8.5 \ mph$

upper limit of 9 mph $q = 9.5 \ mph$

Second Question

lower limit of 120 pounds is $i = 119.9 \ pounds$

upper limit of 120 pounds is $l = 120.1 \ pounds$

Third Question

lower limit of 187 pounds is $a = 186.75 \ pounds$

upper limit of 187 pounds is $b = 187.25 \ pounds$

Step-by-step explanation:

From the question we are told that

The amount of beer administered is three 12-ounce beers

The amount of coffee administered is two cups of coffee

The speed limit is 60-mph

The smallest unit of scale is 1 mph

The first subject scores 9 mph

Generally given that the smallest unit of scale is 1 mph then the deviation of 9 mph will be by $\frac{1}{2} \ mph$

Hence the lower limit of 9 mph is

$j = 9 - 0.5$

$j = 8.5 \ mph$

And the upper limit of 9 mph is

$q = 9 + 0.5$

$q = 9.5 \ mph$

Generally given that the measuring weight on a scale that is accurate to the nearest 0.2 pound then 120 pounds will deviate by $\frac{1}{0.2} \ pounds$

Hence the lower limit of 120 pounds is

$i = 120 - 0.1$

$i = 119.9 \ pounds$

And the upper limit of 120 pounds is

$l = 120 + 0.1$

$l = 120.1 \ pounds$

Generally given that the measuring weight on a scale that is accurate to the nearest 0.5 pound then 187 pounds will deviate by $\frac{1}{0.5} \ pounds = 0.25 \ pounds$

Hence the lower limit of 120 pounds is

$a = 187 - 0.25$

$a = 186.75 \ pounds$

And the upper limit of 120 pounds is

$b = 187 + 0.25$

$b = 187.25 \ pounds$

5 0

3 years ago

A lady has 1 gallon of milk. The recipe calls for 1 quart. She dicided to triple the recipe. How many cups does she have left?

9966 [12]

1 quart= 4 cups
1 gallon= 1 quart

1 recipe= 1 quart
Tripled recipe= 3 * 1 quart= 3 quarts

Tripled recipe= 3 quarts * 4 cups per quart= 12 cups used in triple recipe

1 gallon= 16 cups

16 cups - 12 cups used= 4 cups left

Hope this helps! :)

4 0

3 years ago

Solve for x by first setting up two equations. Then find the PRODUCT of your solutions |2x+5|=7

Kobotan [32]

Answer: see below

Step-by-step explanation:

|2x+5|=7

2x+5=±7 ⇔ since the absolutely value of any number is all positive, so the value in side can be either positive or negative

2x+5=7 or 2x+5=-7

2x=2 2x=-12

x=1 or x=-6

----------------------------------------

The product of the two solutions

1 × -6=-6

Hope this helps!! :)

Please let me know if you have any question

5 0

2 years ago

Please make this quick

AveGali [126]

Answer:

Step-by-step explanation:

3x3+2x9=27

8 0

2 years ago

Please help! Thank you

Vanyuwa [196]

Answer:

x = 82°

y = 59°

z = 39°

Step-by-step explanation:

∠x = 1/2(134° + 30°) = 82°

∠z = 180° - 59° - 82° = 39°

arc DF = 2(39°) = 78°

arc DB + arc DF = 134° + 78° = 212°

draw a diameter down from point B to the opposite side of the circle, call that point P:

arc BDP = 180°

(arc BDF) 212° - 180° = 32° (arc PF)

∠PBG = 1/2(32°) = 16°

∠DEB = 1/2(134°) = 67°

∠DBE = 180° - 59° - 67° = 54°

(∠DBE) 54° - (∠z) 39° + (∠PBG) 16° = (∠PBE) 31°

y = 90°- 31° = 59°

5 0

2 years ago