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

Answers

Answer 1

we use the rectangle rule

96-92=4 parts of 92 octane

98-96=2 parts of 98 octane

4x+2x=12

6x=12

x=2

4x=8 liters of 92 octane

2x=4 liters of 98 octane


Related Questions

True or False: Only items that cannot be replaced or that would be expensive or hard to replace should be put in a safe deposit box.

Answers

True. cuz if you don’t have the box they can’t really confirm it.


During a trip to the mall, Pam spent $12.95 on a purse, $8.50 for a book, and $3.75 for a smoothie at the food court. She also returned a key chain and received a cash refund of $5.00. If Pam had $24.80 at the end of her trip, how much money did she have initially?

$55.00

$30.20

$37.50

$45.00

Answers

Answer:

The answer is d

Step-by-step explanation:

I used a calculator and i just took away 5.00 from 24.80(which is 19.8) then added all the other numbers to 19.8

the perimeter of a rectangle is 72 ft. the ratio of the length to width is 5:4. what are the dimensions of the rectangle?

Answers

Answer: 20 by 16

Step-by-step explanation:

5:4 OR 5x:4x

Perimeter = 2(l x w)

P = 2(5x x 4x)

P = 10x + 8x = 18 x

18x=72

x=4

5 x 4 = 20

4 x 4 = 16

prove that cos² (45+A) + (45-A)=1​

Answers

Answer:

Cos²(45°—A) + cos²(45°+A)

= [2 cos²(45°—A) + 2 cos²(45°+A)] /2

= [{2 cos²(45°—A)—1} + {2 cos²(45°+A)—1} + 2] /2

= [cos2(45°—A)+cos2(45°+A)+2]/2

= [cos(90°—2A)+cos(90°+2A)+2]/2

= (sin2A—sin2A+2)/2

= 2/2

= 1

Missing length?? Please help me out

Answers

Answer:

The missing length is 12

Step-by-step explanation:

Required

Determine the missing length (LS)

If RS = 28 and KS = 14

Then

[tex]KR = RS - KS[/tex]

[tex]KR = 28 - 14[/tex]

[tex]KR = 14[/tex]

The sides of the given shape are directly proportional.

This implies that:

[tex]KS : LS = RS : QS[/tex]

[tex]KS = 14[/tex]

[tex]RS = 28[/tex]

[tex]QS = 12 + LS[/tex]

[tex]LS = ??[/tex]

So, the expression becomes:

[tex]14 : LS = 28 : 12 + LS[/tex]

Represent as a fraction

[tex]\frac{14}{LS} = \frac{28}{12 + LS}[/tex]

Cross Multiply:

[tex]14(12 + LS) = 28 * LS[/tex]

Divide through by 12

[tex]12 + LS = 2 * LS[/tex]

[tex]12 + LS = 2 LS[/tex]

Collect Like Terms

[tex]2LS - LS = 12[/tex]

[tex]LS = 12[/tex]

The length of the missing side is 12

Mario is playing an online puzzle game. He has 50 points and earns 3 points
for each puzzle he solves correctly. He will advance to the intermediate level
if his score is over 80 points.

Answers

Answer:

I think there might be more to this question, but the answer I have is

3x + 50 > 80

Step-by-step explanation:

If he has 50 points, needs higher than 80 points to advance to the intermediate level and receives 3 points for every puzzle he solves correctly, he must multiply the 3 by something to add to 50 to get a total amount higher than 80. Thus, 3x + 50 > 80 is the appropriate answer. Have a good day!

Answer:

the answer is 50x + 3 >80

Step-by-step explanation:

MERYY CHRISTMAS!PLEASE HELP! I need help I will give brainlist



1. Write an equation of a line that has a slope of "negative one-half" in each
form: a) point-slope form b) slope-intercept form.
2. Describe how linear data given in a table can help you write an equation of
a line in slope-intercept form.

Answers

you should have to give more points for this answer....

Answer this please thanks

Answers

12.21%

In his bowling league last year he averaged 115. not his average is 131. so the average increases by 12.21% because the rest are two high because this is a percentage

Answer:

A. 12.21

Step-by-step explanation:

A group of 4444 friends is playing cards. The deck has 70707070 cards. To start the game, the dealer makes a pile of 15151515 cards in the center. Then she deals the remaining cards one at a time to each player until all the cards are gone.
What is the greatest number of cards any player will have after all the cards are dealt?
cards

Answers

Answer:

12502 cards

Step-by-step explanation:

Given:

» total of 70707070 cards of the deck

» 15151515 cards were taken and put in a pile

Solve:

1. So, you can subtract 15151515 from 70707070 to find how many cards are left:

70707070 - 15151515 = 55555555

2. Now, there are 55555555 cards remaining in the deck since 15151515 cards were taken to put in a pile. Since the dealer deals the remaining cards to 4444 people, you can just do 55555555 divided by 4444 to find how many cards each person gets:

55555555 ÷ 4444 = 12501.25

3. 12501.25 is the exact number of cards each person gets, but you can’t have a fraction/part of a card. You have to find a specific remaining number:

0.25 is the same as [tex]\frac{1}{4}[/tex], and so convert [tex]\frac{1}{4}[/tex] into a fraction with a denominator of 4444, but is still equivalent to [tex]\frac{1}{4}[/tex]: You’ll get [tex]\frac{1111}{4444}[/tex], which is correct because it’s still equivalent to [tex]\frac{1}{4}[/tex]

4. So, the remaining 55555555 cards divided by 4444 people is 12501 cards and a remainder of 1111 cards. The 1111 cards can be distributed upon the players, but not everyone can get it. Since 12501 were to given to the players and after the remaining 1111 were also distributed, this means that some will have 12501 cards and others will have 12502 cards.

Answer: So, the greatest number of cards any player will have after all the cards are dealt is 12502 cards.

WILL GIVE BRAINLIEST IF CORRECT!!

Adam and Simon start on bicycle trips from the same point at the same time. Adam travels east at 8mph and Simon travels south at 6mph. After how many hours are they 60 miles apart?

Answers

10 hours should be the answer

have a good day mate and mark me brainliest

If Adam and Simon start on bicycle trips from the same point at the same time and Adam travels east at 8mph and Simon travels south at 6mph then after 4.28 hours the distance between them is 60 miles.

What is speed?

Speed is the distance an object covers in a particular time period. It can be calculated as under:

Speed=Distance/ Time.

How to calculate time?

We have been given the speed of Adam and Simon as 8 mph and 6 mph and we are required to find the time taken by both to be 60 miles apart.

Time=Distance/speed

We cannot find individually but we can find the average time.

Time=60/(6+8)

=60/14

=2.28 hours

Hence if If Adam and Simon start on bicycle trips from the same point at the same time and Adam travels east at 8mph and Simon travels south at 6mph then after 4.28 hours the distance between them is 60 miles.

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How do I know if the function is a linear function?

Answers

Answer:

This is not a linear function.

Step-by-step explanation:

It is a quadratic function.  If you were to make a table of the x and y values of the function it would look like this:

x    y

0   -4

1   -1

2    8

Just by looking at these three values, we can see that they do not increase at a consistent rate.  It increases by 3 from 0 to 1, but increase by 9 from 1 to 2.  You can tell if a function is linear by seeing if it increases at a constant rate.  (In this case it does not)

A shoe company wants to test an updated model of a running shoe on its wear after one month of running. They recruit 50 people who run on a regular basis to participate in the study. Twenty-five runners will receive a pair of the new model and the remaining 25 will receive a pair of the current model. After one month, the wear on the shoes will be determined using the depth of the tread and the flexibility of the toe box. The wear between the new and current models will then be compared.

Which of the following describes a completely randomized design for this experiment?

The subjects are numbered 1–50 and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the current model.
The subjects’ names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be assigned to the current model group.
The 50 subjects are paired based on running ability. The fastest two runners are paired together, the next fastest, etc. For each pair of runners, the researcher will flip a coin. If the coin lands on heads, the first runner will receive the new model and the second runner will receive the original model.
The 50 subjects are grouped based on running ability. Twenty runners classify themselves as competitive runners and the remaining 30 classify themselves as recreational runners. For the competitive group, the runners’ names are written on equal-sized slips of paper and placed into a hat. The slips are shuffled, and the first 10 runners wear the new model and the other 10 wear the current model. The same procedure is used to assign the shoes to the recreational group.

Answers

Answer:

Option A: The subjects are numbered 1–50 and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the current model.

Step-by-step explanation:

We are told that Twenty - five runners will receive a pair of the new model and the remaining 25 will receive a pair of the current model.

Now, a completely randomized design is defined as one where the treatments will be assigned completely at random in such a manner that each experimental unit will posses the same chance of receiving any of the treatments given.

To this effect, the most likely answer will be picking people at random to assign either the new model or current model.

This is usually done by making a list of the treatment combinations and then assigning a random number to each subject.

Looking at the options, the most appropriate will be option A.

I really need help. It would mean a lot ❤️!

Answers

Answer: The domain has to be x and the range y. But for independent and dependent variable I can't help. So srry. The picture doesn't show the work. Have a nice day :)

Can someone help me on the assignments please!!!

I am not so good at math and show your work do everything you can thank you.

Answers

so that's

$300,000

*30*4/100

$36,000

2

prob. = total probs./no of probs

=0.35+0.45/2

=0.575

sweetie please verify tou answer am not 100% sure but that how it should be done

please I need brainliest thanks

Could someone please help me with this equation, thank you.
-8 + x/5 = 12

Answers

Answer:

x = 100

Step-by-step explanation:

1. To get rid of the denominator of 5, multiply both sides of the equation to get 5

-40 + x = 60

2. Add 40 on both sides to get the variable x by itself

x = 60 + 40

3. Solve

x = 100

Answer:

x=100

Step-by-step explanation:

-8+x/5=12

--8+x/5=12+8

x/5=20

5*20=100

x=100

if a,b,c,d are in continuous proportion then prove that (c+a) (c+d) = (b+c) (b+d)​

Answers

Answer:

We must prove that (c+a)(c+d) = (b+c)(b+d)

Let us use principles from mathematical induction [tex] \frac{a}{b} = \frac{b}{c} = \frac{c}{d} = x[/tex]a=bx , b=cx, c=dxa+c = b + c c +d = b + d Such that (a+c)(c+d)=(b+c)(b+d)

Rate positively and give brainlist

Please help 1/2P-10=15

Answers

Answer:

if I'm supposed to solve for P, the answer is 50

Step-by-step explanation:

1/2p-10=15

1/2p=25, subtraction property of equality

p=50, multiplication property of equality

therefore, P is equal to 50

If ABCD is a square and AC= 26, what is the length of BC

Answers

Answer:

BC = 18.385

Step-by-step explanation:

You can look at ABC as a right triangle and use the Pythagorean theorem to solve for BC. 26 squared is 676, 676 divided by 2 is 338, and finally the square root of 338 is 18.385. This is the length of BC and AB as well. Hope that helped

Answer: aprox 18.38

Step-by-step explanation:

you have a AC=, which is the hypothenuse of the right triangle, and isosceles

ABC

AB=BC, sides of  a square

remember c^2=a^2+b^2 but and b are equal so we can say

c^2= 2a^2

c=a[tex]\sqrt{2}[/tex],  26/[tex]\sqrt{2}[/tex]=a

a=(26[tex]\sqrt{2}[/tex])2=18.38

Rewrite the following equation into slope-intercept form (y = mx + b).
3x - y = 7

Answers

Answer:

y=3x-7

Step-by-step explanation

Subtracted 3x, then divided by -1, made the 7 negative and the 3x positive

Write an equation in slope-intercept form of the line with slope −45 that contains the point (−5,−4).

Answers

Answer:

(-5,-4)x=45

Step-by-step explanation:

In the accompanying diagram, lines AB and CD
intersect at point E. If m m

Answers

Answer: x = 40
Steps are shown in the picture!

The required value of x is 40 which is determined by the substitute that equals the vertical angles.

What are the vertical angles?

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

As per the given accompanying diagram, lines AB and CD intersect at point E.

Since ∠AED and ∠BEC are vertical angles then they are congruent, thus

⇒ ∠AED = ∠BEC

⇒ (x + 10) = 50

Subtract 10 from both sides of the above equation,

⇒ x + 10 - 10 = 50 - 10

⇒ x = 40

Thus, the required value of x is 40.

Learn more about the Angles here:

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Triangle A'B'C' with coordinates of A' (-6,2)

Answers

Answer: (A), (B) and (E).

Step-by-step explanation: Given that ΔA’B’C’ with coordinates of A(-6,2),B’(-4,2), and C’(-6,-2) is the image of ΔABC after a translation of (x-3,y+2). We are to find the possible coordinates for the original vertices of ΔABC.

For vertex A, we have

So, the coordinates of vertex A are (-3, 0).

For vertex B, we have

So, the coordinates of vertex B are (-1, 0).

For vertex C, we have

So, the coordinates of vertex C are (-3, -4).

The mean diastolic blood pressure for a random sample of people was millimeters of mercury. If the standard deviation of individual blood pressure readings is known to be millimeters of mercury, find a confidence interval for the true mean diastolic blood pressure of all people. Then give its lower limit and upper limit.

Answers

Answer:

(85.62, 90.38).

Step-by-step explanation:

The missing data  can be assumed to be we have the following information:

¯x =88, s=10,  n=70

Substituting the values in the following formula, we compute the 95% C.I for true population mean diastolic pressure as shown below:

95% C.I.=¯x±t(0.95,n−1)⋅Sm=¯x±t(0.95,70−1)⋅s√n=88±1.99⋅10√70=(85.62,90.38)

The answer is (85.62, 90.38).

(v^3-2v^2-78v+16) / (v+8)

Answers

Answer:

v^2-10v+2

Step-by-step explanation:

(v^3-2v^2-78v+16) /(v+8)

Factor

(v+8)(v^2-10v+2)/(v+8)=v^2-10v+2

20 POINTS PLS HELP
(((95*26)-470)/16)-35=______________
not 4 a test

Answers

Answer:

90

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

(((95 × 26) - 470)/16) - 35

Step 2: Evaluate

(Parenthesis) Multiply:                    ((2470 - 470)/16) - 35(Parenthesis) Subtract:                   (2000/16) - 35(Parenthesis) Divide:                      125 - 35Subtract:                                          90

(5x+3)(-5x+6) box method to distribute and simplify

Answers

Answer:

-450

Step-by-step explanation:

if a rectangle have length of 10 inches and width of 8 inches what is the new area if each corner is cut by x^2

Answers

Answer:

[tex]80 - 4x^2[/tex]

Step-by-step explanation:

Area of a rectangle

A rectangle of width W and length L has an area of:

A = W.L

The given rectangle has a length of L=10 inches and a width of W=8 inches, thus its area is:

A = 8*10 = 80

[tex]A = 80\ in^2[/tex]

If each corner is cut by a square of x*x, then the total area will be:

[tex]A' = 80 - 4x^2[/tex]

The new area is [tex]\mathbf{80 - 4x^2}[/tex] square inches

Solve the equation.-7=y/7

Answers

Answer:

y = -49

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-7 = y/7

Step 2: Solve for y

Multiply 7 on both sides:                    -49 = yRewrite:                                               y = -49

Jason says the quotient 517 ÷ 5 is 103 r 2. Use multiplication to show if Jason's answer is correct.

Answers

Answer: No Jason is not orrect the anwser is 103.4 x 5= 517

Step-by-step explanation:

ok so first you have to multiply 103.2 times 5 but that gives you 516 so the correct anwser is 103.4 x 5 = 517

please help I having trouble not understanding it thank you I appreciate it

Answers

6x +52 + 9x + 23 = 180
15x + 75 = 180
15x = 105
X = 7
7 * 6 = 42 + 52 = 94
94 is the answer
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