help !!! If gasoline costs $2.399 per gallon at your local station, and you fill up your car with 11.25 gallons of gas, how much will you actually spend?

Answer:

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5

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If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

Answer

12

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Patrick Ivers, former mathematics & English instructor

Answered June 26, 2018

If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

The puzzle is solved by defining each variable in terms of another variable & a number & then making substitutions. Begin by taking each sum to define one of the variables in terms of the other. (Different combinations are available, but I’ll follow the a,b,c order.)

a+b=8 becomes a=8-b

b+c=10 becomes b=10-c

c+a=12 becomes c=12-a

Now subtract two of the equations that contain the same variable. I’ll pick two that contain an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. Adding b to both sides to isolate c gives c=b+4. From above we can take b=10-c to substitute for b in c=b+4, giving us c=(10-c) + 4). Simplify the right side to c=14-c, add c to both sides, giving 2c=14, & then divide both sides by 2 to obtain c=7.

Replace the c in b=10-c with 7 to

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Paul K. Young, Former PhD candidate in Mathematics

Answered September 28, 2016

If A = B and B = C, does A = C?

In mathematics = is assumed to be a transitive relationship. Transitivity means precisely what you stated: A = B and B = C implies A = C.

While it’s possible to use = to represent a non-transitive relationship this would be considered an abuse of notation. A ~ B or R(A, B) would be a better way to express the relation in this case.

Similar assumptions are made about operators like + and *. + is generally assumed to be commutative, whereas * can be used for noncommutative operations like matrix multiplication. E.g. A * B != B * A.

Equality in programming is another story entirely.

In many languages = is the assignment operator and == is the equality operator. Assignment is not transitive - it’s not even a relation.There are cases where the equality operator doesn’t define a transitive relation.

Answer:

129.73

Step-by-step explanation:

Answer:

48 is 37% of 129.72973

Answer:

A(3) = 6

A(5) = 18

A(11) = 54

PLS MARK AS BRAINLIEST

Answer:

Hope it help

Mark me as brainliest

Step-by-step explanation:

Answer:

More

Step-by-step explanation:

If we divide 30 by .25 we will get 120

Answer:

Step-by-step explanation:

We can solve this using a ratio. If there a 2 bottles of cherry in the ratio and there are 34 actual bottles of cherry, then the ratio is

[tex]\frac{ratio}{actual}:\frac{2}{34}[/tex]

In the ratio, we are told that the mix of bottles is 7 parts mango and we want to know how many actual bottles there are of mango. So filling in:

[tex]\frac{ratio}{actual} =\frac{2}{34} =\frac{7}{m}[/tex] and cross multiply to get

2m = 238 and

m = 119. There are 119 bottles of mango juice. And just for the record, there are 17 bottles of fruit juice.

Answer:

m = 119. There are 119 bottles of mango juice. there are 17 bottles of fruit juice.

Answer:

English?

Step-by-step explanation:

Answer:

x = 20°

y = 30

Step-by-step explanation:

The triangle given on close inspection, it is an equilateral triangle.

Each angle in an equilateral triangle is equal. Likewise, each side is equal.

Thus;

16 + y = 46

y = 46 - 16

y = 30

The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.

Thus, the smaller angle there is;

180 - (80 + 60) = 40°

Because sum of angles in a triangle is 180°

Now, x + 40 = 60°

Since that's also an angle of an equilateral triangle.

x = 60 - 40

x = 20°

The value of length y is 30 and the value of angle x is 20 degrees and this can be determined by using the properties of an equilateral triangle.

Given :

The triangle ABC is given in the figure.

In an equilateral triangle, all angles are equal and therefore, each side is equal.

16 + y = 46

y = 46 - 16

y = 30

An angle in the triangle is given that is 80 degrees and angle C is 60 degrees because it is an angle of an equilateral triangle.

Applying sum of interior angles property:

80 + 60 + (60 - x) = 180

200 - x = 180

x = [tex]20^\circ[/tex]

For more information, refer to the link given below:

https://brainly.com/question/19237987

Answer:

[tex]2(3x+2)(2y-1)[/tex]

Step-by-step explanation:

Hope I helped!

Answer:

(4y − 2)(3x + 2)

Step-by-step explanation:

4y(3x + 2) − 2(3x + 2) = (3x + 2)[4y − 2]

Answer:

B and C

Step-by-step explanation:

Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.

A minimum point occurs where all the nearby values are higher than that of the point in question.

A maximum point occurs where all the nearby points are lower than the point in question.

By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)

By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.

I've highlighted areas of interest below so hopefully that's helpful :>

Answer:

y=25x

Step-by-step explanation:

It is a linear equation with a slope of 25

Answer:

24

Step-by-step explanation:

7 5/6 x3 =23.5

Answer:

B

u just subsitute in each inequality form and so u will find the only one that is right is letter b

-4 is x

-2 is y

Answer:

Step-by-step explanation:

195613(1+.543)

195613(1.543)

301831

Answer:

cholesterol in egg= 273 mg

cholesterol in cupcake = 18 mg

cholesterol in slice of pizza = 9 mg

Step-by-step explanation:

Given data:

1 egg , 1 cupcake , 1 slice of pizza  = 300mg

3 cupcakes , 4 slices of pizza = 90mg

2 eggs , 1 cupcake = 564mg

Let egg be x , let cupcake be y and let pizza be y

x + y + z = 300 (equation 1)

0x + 3y + 4z = 90 (equation 2)

2x + y + 0z = 564 (equation 3)

Using equation 1 and equation 2

x + y + z = 300 (Multiply equation by 3)

0x + 3y + 4z = 90

3x + 3y +3z =900

0x +3y +4z = 90  (Subtracting the equations)

3x - z = 810  (equation 4)

Using equation 2 and equation 3

0x + 3y + 4z = 90

2x + y + 0z = 564 (Multiply equation by 3)

0x + 3y + 4z = 90

6x +3y + 0z = 1692 (Subtracting the equations)

-6x +4z =-1602  (equation 5)

Solving equation 4 and equation 5

3x - z = 810  therefore z =3x -810

Substituting z into equation 5

-6x +4(3x - 810) =-1602  

-6x + 12x - 3240 = -1602

6x = -1602+3240

6x = 1638

x = 273

Substituting x into z = 3x - 810

z = 3(273) - 810

z = 819-810

z = 9

Using equation 1 to find y

x + y + z = 300

273 + y + 9 = 300

282 + y = 300

y = 300-282

y = 18

Answer:

Step-by-step explanation:

The question is misleading. It was not specified that his salary is Rs 9,600 per month. That is 115,200 yearly. Of that, 115,200- 85,000 = 30,200 is taxable.

tax = Rs 377.50/month = Rs 4,530/year

4,530/30,200 = 0.15 = 15%

Answer:

4/5

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

We have that;

P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)

a) rate at which Glen Cove's population is changing with respect to time.

dP/dt = (t^2 + 5t + 40) (50t + 125) - (25t^2 + 125t + 200) (2t + 5)/(t^2 + 5t + 40)^2

dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2

b)  population after 10 years

P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)

P(t) =(25(10)^2 + 150(10) + 100)/((10^2 + 6(10) + 24)

P(t) = 4100/184

P(t) = 22283

c) when t = 10

dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2

dP/dt = 1000(10) + 3000/(10^2 + 6(10) + 24)^2

dP/dt = 13000/33856

dP/dt = 0.384

Answer:

Total cost of the grill installment plan = 2290

Step-by-step explanation:

370 + 1920 = 2290

Answer:

r

Step-by-step explanation:

Answer:

[tex]f(3) =-8[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2x + 5; x<1[/tex]

[tex]f(x) =-3x + 1; x >1[/tex]

Required

Determine f(3)

f(3) implies that x = 3.

We make use of

[tex]f(x) =-3x + 1[/tex]

Because x >1 (i.e. 3 > 1)

Substitute 3 for x in f(x) =-3x + 1

[tex]f(3) =-3*3 + 1[/tex]

[tex]f(3) =-9 + 1[/tex]

[tex]f(3) =-8[/tex]

Answer:

200,000 identification numbers are possible

Step-by-step explanation:

For the first digit, there are only two possible outcomes, 0 or 1.

For the next five digits, there are 10 possible outcomes(0,1,2,3,4,5,6,7,8,9).

How many identification numbers are possible?

[tex]2 \times 10^5 = 200000[/tex]

200,000 identification numbers are possible

Answer:

Step-by-step explanation:

4x-5 = 3x

Answer:

DP=5×-29 is your answer right answer

Answer:

I think it is 50

Step-by-step explanation:

Answer:

2009

Step-by-step explanation:

The question can be interpreted as:

[tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]

Required

Determine x when f(x) = 10.5

Substitute 10.5 for f(x) in [tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]

[tex]10.5 = -1.330x^2 + 5.149x + 5.517[/tex]

Collect Like Terms

[tex]-1.330x^2 + 5.149x + 5.517-10.5=0[/tex]

[tex]-1.330x^2 + 5.149x -4.983=0[/tex]

Using quadratic formula

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = -1.330[/tex]

[tex]b = 5.149[/tex]

[tex]c = -4.983[/tex]

[tex]x = \frac{-5.149 \± \sqrt{5.149^2 - 4*-1.330*-4.983}}{2*-1.330}[/tex]

[tex]x = \frac{-5.149 \± \sqrt{0.002641}}{-2.660}[/tex]

[tex]x = \frac{-5.149 \± 0.0514}{-2.660}[/tex]

Split:

[tex]x = \frac{-5.149 + 0.0514}{-2.660}\ or\ x = \frac{-5.149 - 0.0514}{-2.660}[/tex]

[tex]x = \frac{-5.0976}{-2.660}\ or\ x = \frac{-5.2004}{-2.660}[/tex]

[tex]x = 1.92\ or\ x = 1.96[/tex]

Both values of x approximates to 2.

So:

[tex]x = 2[/tex]

2 years after 2007 is 2009.

Hence, the funding is about $10.5 billion in 2009