a service station has 92-octane and 98-octane gasoline. How many liters of each should be mixed to provide 12 liters of 96-octane gasoline needed for chemical research

Answer:

y= 1/15.735. y is o.o64 character so one half is your answer

Answer:  27

Step-by-step explanation:

180-153= 27

y=27

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]y = x-2[/tex]

comparing with the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

so

Let us plug in some values

at x = 0, y = x-2 ⇒ y = 0-2  ⇒ y = -2

at x = 1, y = x-2 ⇒ y = 1-2  ⇒ y = -1

at x = 2, y = x-2 ⇒ y = 2-2  ⇒ y = 0

at x = 3, y = x-2 ⇒ y = 3-2  ⇒ y = 1

at x = 4, y = 4-2 ⇒ y = 4-2  ⇒ y = 2

Thus, the table of the equation y = x-2 becomes

x                  y

0                 -2

1                   -1

2                  0

3                   1

4                   2

Please check the attached graph.

Proof (reasons are given in brackets):

Consider [tex]\triangle ABC[/tex], [tex]\triangle EDC[/tex]:

[tex]\overline B \overline C = \overline D \overline C[/tex] (given)

[tex]\angle BCA = \angle DCE[/tex] (vertically opposite angles are equal)

[tex]\overline A \overline C = \overline E \overline C[/tex] (given)

[tex]\therefore \triangle ABC \cong \triangle EDC[/tex] (SAS)

Hope this helps :)

Answer:

3, 5, 7

Step-by-step explanation:

Let the first of the three positive consecutive odd numbers be [tex]x[/tex].

Now, the second odd number = [tex]x+2\\[/tex]

And, the third odd number = [tex]x+4[/tex]

As per question statement, the multiplication of the first and third odd number is 9 lesser than the 6 times the second integer.

Writing the equation, we get:

[tex]x(x+4) = 6(x+2)-9\\\Rightarrow x^{2} +4x=6x+12-9\\\Rightarrow x^{2} +4x-6x = 3\\\Rightarrow x^{2} -2x - 3=0\\\text{Solving the above equation by factorization method:}\\\Rightarrow x^{2} -3x +x - 3=0\\\Rightarrow x(x -3) + 1(x - 3)=0\\\Rightarrow (x -3) (x+ 1)=0\\\Rightarrow x =3, -1[/tex]

As, we got a quadratic equation, so we have two solutions here.

One is positive integer and other one is negative.

So, solution is [tex]x=3[/tex]

First number is 3.

Second number is 3 + 2 = 5

Third number is 5 + 2 = 7

Answer:

I think

Step-by-step explanation:

-5,-2,-1,0,3 that is definitely my answer

Answer:

the last one

Step-by-step explanation:

......

...

Answer:

Drink A

Step-by-step explanation:

Let's find the amount of sugar in each drink in every 35 ounces. (since 35 is the lowest common multiple of 5 and 7)

Drink A

5 fluid ounces --- 11g of sugar

35 fluid ounces --- 11 ×7= 77g of sugar

Drink B

7 fluid ounces --- 10g of sugar

35 fluid ounces --- 10 ×5= 50g of sugar

Since drink A has more sugar in every 35 ounces than drink B, drink A is sweeter.

Answer:

2.4 kg/week

Step-by-step explanation:

(48 kg)/(20 weeks) = 2.4 kg/week

Answer:

I'm sorry

Step-by-step explanation:

Complete Question

Leicester City Fanstore (LCF) will be selling the "new season jersey" for the 2018-2019 season. The regular price of the jersey is $80. Each jersey costs $40. Leftover jerseys will be sold at the end of the season (or later) at $30. Since jerseys are produced in China and lead time is long, Puma wants LCF to decide the quantity right now (December 2017).

a. After some analysis using historic data, LCF expects that the demand will follow a Normal distribution with a mean 40,000 and a standard deviation of 8,000 due to uncertainty in team performance. How many jerseys should LCF order?

b. If a customer cannot buy the jersey from LCF (in the case of a stock-out), they may leave the store disappointed and use other channels (such as Puma stores or puma.com) in future. LCF thinks that the lost customer goodwill is around $10. Should LCF change their decision in part (a)? If yes, please state the number of jerseys LCF should order.

c. Please state whether the following statement is always true, and give a brief explanation. If [tex]C_o =C_i[/tex], the news vendor solution is the mean.

Answer:

a

   [tex]N = 46728[/tex]

b

  [tex]n = 47728[/tex]

c

  Yes it is always true  

Step-by-step explanation:

From the question we are told that

   The regular price of the jersey is  [tex]P_r = \$ 80[/tex]

    The cost of producing a jersey is [tex]C= \$ 40[/tex]

  The left-over price of the jersey is [tex]P_o = $ 30[/tex]

   The mean is  [tex]\mu = 40000[/tex]

   The standard deviation is [tex]\sigma = 8000[/tex]

   The cost of lost customer goodwill is [tex]C_g = \$ 10[/tex]

Generally the fund that LCF will loss for one jersey if they order for too many  jersey (i.e more than they need )is mathematically represented  

           [tex]C_o = P_o - C[/tex]

=>        [tex]C_o = 40 - 30[/tex]

=>        [tex]C_o = \$ 10[/tex]

Generally the fund that LCF will loss for one jersey if they order lesser amount  jersey (i.e less than they need )is mathematically represented  

           [tex]C_i = P_r - C[/tex]

=>        [tex]C_i = 80 - 40[/tex]

=>        [tex]C_i = \$ 40[/tex]

Generally the critical ratio is mathematically represented as

             [tex]Z = \frac{C_i }{ C_i + C_o}[/tex]

=>           [tex]Z = \frac{40}{ 40 + 10}[/tex]

=>           [tex]Z = 0.8[/tex]

Generally the critical value of  [tex]Z = 0.8[/tex] to the right of the normal curve is

         [tex]z = 0.841[/tex]

Generally the optimal quantity of jersey to order is mathematically represented as

             [tex]N = \mu * [z * \sigma][/tex]

=>          [tex]N = 40000 * [0.841 * 8000][/tex]

=>          [tex]N = 46728[/tex]

Considering question b

  Generally considering the factor of customer goodwill  the fund that LCF will loss for one jersey if they order lesser amount  jersey (i.e less than they need )is mathematically represented  as

           [tex]C_k = C_i + C_g[/tex]

=>        [tex]C_k = 40 + 10[/tex]

=>        [tex]C_k = \$ 50[/tex]

Now   the critical ratio is mathematically represented as

             [tex]Z = \frac{C_k }{ C_k + C_o}[/tex]

=>           [tex]Z = \frac{50}{ 50 + 10}[/tex]

=>           [tex]Z = 0.833[/tex]

Generally the critical value of  [tex]Z = 0.833[/tex] to the right of the normal curve is

         [tex]z = 0.966[/tex]

Generally the optimal quantity of jersey to order is mathematically represented as

             [tex]n = \mu * [z * \sigma][/tex]

=>          [tex]n = 40000 * [0.966 * 8000][/tex]

=>          [tex]n = 47728[/tex]

Considering question c

    When [tex]C_o =C_i[/tex] then

The critical ratio is mathematically represented as

             [tex]Z = \frac{C_k }{ C_k + C_k}[/tex]

=>           [tex]Z = \frac{1}{ 2}[/tex]

=>           [tex]Z = 0.5[/tex]          

Generally the critical value of  [tex]Z = 0.5[/tex] to the right of the normal curve is

         [tex]z = 0[/tex]

So

The optimal quantity of jersey to order is mathematically represented as

             [tex]n = \mu * [z * \sigma][/tex]

=>          [tex]n = 40000 * [0* 8000][/tex]

=>          [tex]n = 40000 = \mu[/tex]

Hence the statement in c is true        

Answer:

1. The journey will use 15.52 liters of petrol.

2. The approximate cost of petrol to hotel will be 2155.73 pence

3. The whole journey will take 3.36 hours

Step-by-step explanation:

Given that:

Distance of hotel from house = 163 miles

Distance covered by per liter = 10.5 miles

1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.

Petrol used for total distance = [tex]\frac{Total\ distance}{Distance\ per\ liter}[/tex]

Petrol used for total distance = [tex]\frac{163}{10.5}=15.52\ liters[/tex]

The journey will use 15.52 liters of petrol.

2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .

Cost of per liter petrol = 138.9 pence

Cost for petrol to hotel = Petrol used for journey * Price per liter

Cost of petrol = 138.9 * 15.52 = 2155.73 pence

The approximate cost of petrol to hotel will be 2155.73 pence

3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take.

Distance covered per hour = 50 miles

Time taken in whole journey = [tex]\frac{total\ distance}{distance\ per\ hour}[/tex]

Time taken in whole journey = [tex]\frac{168}{50}[/tex]

Time taken in whole journey = 3.36 hours

The whole journey will take 3.36 hours

Hence,

1. The journey will use 15.52 liters of petrol.

2. The approximate cost of petrol to hotel will be 2155.73 pence

3. The whole journey will take 3.36 hours

Answer:

≈ 70.87 (rounded to the nearest hundredth)

Step-by-step explanation:

-When you do 4,819 ÷ 68, you’ll get:

70.867647058....

-So, just round it to the nearest hundredth:

70.87

Answer:

Step-by-step explanation:

Steps are below

step 1

4.5 + 5.9  equation

step 2

4.5 + 5.9  add them together by moving the points

4.5 + 5.9

10.4

Answer:

B

Step-by-step explanation:

you do 0.74 + 0.18 and then subtract 0.8

Answer:

1360.78 mg

Step-by-step explanation:

3 pounds in grams is 1360.78 grams.

so, 1 mg per gram would mean the baby should recieve 1360.78 mg of the drug.

Answer:

EF=18 inches

Measure of angle F = 134

Step-by-step explanation:

It's an isosceles triangle because the two given angles are equal. So, hypothetically, if you flipped the triangle to have side EG on the ground, then given the rules of isosceles triangles, side EF is equal to side GF.

To find the angle of F just add the given angles and substract from 180

Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

Step(I):-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

                    [tex]p_{1} = \frac{360}{390} = 0.9230[/tex]

second sample proportion

                  [tex]p_{2} = \frac{47}{52} = 0.9038[/tex]

Step(ii):-

Null hypothesis : H₀ : There is no difference  proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

[tex]Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } } }[/tex]

where

          [tex]P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1}+n_{2} }[/tex]

         P =  0.920

[tex]Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52} } )}[/tex]

Test statistic Z =  0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women







Answer:

A''=(8,0)

B''=(12,-5)

C''=(16,-4)

D''=(17,3)

Step-by-step explanation:

Translations

The following points are given:

A=(2,3)

B=(6,-2)

C=(10,-1)

D=(11,6)

Two transformations will be applied:

T(x,y)->(x+12,y-8). It means: add 12 to x, subtract 8 to y

T(x,y)->(x-6,y+5). It means: subtract 6 to x, add 5 to y

Start with point A. First translation:

A'=(2+12,3-8)=(14,-5). Second translation:

A''(14-6,-5+5)=(8,0)

Now for point B. First translation:

B'=(6+12,-2-8)=(18,-10). Second translation:

B''(18-6,-10+5)=(12,-5)

Now for point C. First translation:

C'=(10+12,-1-8)=(22,-9). Second translation:

C''(22-6,-9+5)=(16,-4)

Finally for point D. First translation:

D'=(11+12,6-8)=(23,-2). Second translation:

D''(23-6,-2+5)=(17,3)

Answer:

B) x = -2 or x = 3/5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

5x² + 7x = 6

Step 2: Solve for x

Answer:

0.6395 ; 0.9657 ; 0.7333

Step-by-step explanation:

Given that:

Mean (m) = 10.1

Standard deviation (s) = 2.8

Obtain the following probabilities :

a) less than 10 minutes

P(x < 10)

Z = (x - m) / s

Z = (10 - 10.1) / 2.8

Z = 0.1 / 2.8

Z = 0.0357142

P(Z < 0.357) = 0.6395 ( Z probability calculator)

(b) longer than 5 minutes

P(x > 5)

Z = (x - m) / s

Z = (5 - 10.1) / 2.8

Z = −1.821428

P(Z < - 1.821) = 0.9657 ( Z probability calculator)

(c) between 8 and 15 minutes

P(8 < x < 15)

P(x < 8)

Z = (x - m) / s

Z = (8 - 10.1) / 2.8

Z = − 0.75

P(Z < - 0.75) = 0.22663 ( Z probability calculator)

P(x < 15)

Z = (x - m) / s

Z = (15 - 10.1) / 2.8

Z = 1.75

P(Z < 1.75) = 0.95994 ( Z probability calculator)

P(Z < 1.75) - P(Z < - 0.75)

0.95994 - 0.22663 = 0.7333

Answer:

x=9

Step-by-step explanation:

4(x-3)-8=16

1. Distribute

(4x) - (4*3) - 8 =16

4x-12-8=16

Combine the 12 and the 8

4x-20=16

Add 20 to both sides

4x-20+20=16+20

4x=36

Divide by 4.

x=9

Hope this helps plz hit the crown :D

Answer:

The answer is"statement is true".

Step-by-step explanation:

Yeah, they may claim that it is possible, that 95% of the population would vote for Imm Thai as the best Barkeley Thai restaurant as well as the probability that such an interval will include the proportion of the trust interval of Imm Thai outside is 5% which would be \alpha 5%

Answer:

Step-by-step explanation:

a. 35 greater than or equal to 14 + x

   35 - 14 = 21

   x = $21

b. If the shirt is 30% off it would cost $9.80

   14 x 0.3 = 4.2

   14 - 4.2 = 9.8

   35 is greater than or equal to 9.80 + x

   35 - 9.8 = 25.2

   x = $25.20

   This changes the inequality by making x greater than it was in part a

c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.

Answer:

whats the other questions? that's what we need

Step-by-step explanation:

Answer:

yes you can because $63 is the answer for 2a so 2b would have to be a part of that so its going to help you solve it by you know the answer you just have to figure out how else to do it because you have to divide

Step-by-step explanation:

sorry if i got it wrong i don't really understand the question :(

9514 1404 393

Answer:

  $9,437.65

Step-by-step explanation:

Fill in the given numbers and do the arithmetic.

  [tex]V=Pe^{rt}\\\\V=\$6860\cdot e^{0.029\cdot 11}=\$6860\cdot 1.375751\\\\\boxed{V=\$9{,}437.65}[/tex]

Answer:

you answer would be A,B,D there all the answer u cant just have one also I  just took the test im from k12

Answer:

Step-by-step explanation:

Lol what is this question man. If he bought it for $34, pretty sure the "selling price" is $34.00

Answer:

$34.00

Step-by-step explanation:

if he get it for $34.00 so the selling price is $34.00

Answer:

1.7(2c+6)

Step-by-step explanation:

Answer:

x=48 degrees

y=66 degrees

Step-by-step explanation:

180-114=66 degrees

y=66 degrees

180- (66+66)

180-132

48 degrees

x= 48 degrees

I don't really know how to explain it any better but I hope this helps.

Have a great day, you amazing bean child.