Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Irene​'s car had 6.4 gallons in the 15​-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost ​$3.60 per gallon. How much did Irene spend on​ gas?

Answer:

So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5

Conclusion: C > 54,5

9514 1404 393

Answer:

  C = 6 is the minimum

Step-by-step explanation:

2-variable constraint problems are often easy to solve graphically. The overlap of each of the solution regions defines a "feasible region." The vertices of that region will be candidates for the (x, y) values that satisfy the objective function.

The three constraints define a feasible region with four vertices:

The most likely candidates for minimizing C are (0, 2) and (3, 0). The corresponding values of C are ...

  (0, 2): C = 4·0 +3·2 = 6

  (3, 0): C = 4·3 +3·0 = 12

The minimum value of C is 6 at (x, y) = (0, 2).

_____

Additional comment

The line representing the objective function will be closest to the origin when the objective function is minimized. Once we can see the slope of it on the graph, we can determine the feasible region boundary point that will place the line closest to the origin.

Answer:

steps below

Step-by-step explanation:

1. use ruler to draw a segment of 4 units AB

2. center the compasses needle at A and draw arc with radius of 5 and intersect with another arc centered at B with radius of 3 at point C

3. center the compasses needle at B and draw arc with radius of 4.5 and intersect with another arc centered at A with radius of 2.5 at point D

4. connect BC, CD and AD to form quadrilateral ABCD

Answer:

25 and 50

Step-by-step explanation:

Answer:

Smaller Number = 25

Bigger Number = 50

Step-by-step explanation:

let the smaller number be x

Let the bigger number be y

x + y = 75

x = 1/2y

Now we can substitute 1/2y for x

1/2y + y = 75

1 1/2 y = 75

y = 50

The bigger number is 50

The smaller number is 1/2 of 50, which equals 25

-Chetan K

Answer:

wheres the math

Step-by-step explanation:

Answer:

(0°F − 32) × 5/9 = -17.78°C

= -17.8°C

1/4 is equivalent to a quarter or 25/100. That makes it equal to 25%

Answer:

25%

Step-by-step explanation:

please mark me as brainlest

Answer:

if you are asking for true or false it would be false

Step-by-step explanation:

First we can multiply both sides of the equation by 2 to get rid of the fraction.

(for the left side, the top doesn't change!)

12w - 20 = 12 - 4w

Then we can solve by adding 20 and 4w to both sides.

16w = 32

Last, divde both sides by 16.

w = 2

So our answer is the third option, w = 2

Answer:

Answer is w = -4

Step-by-step explanation:

[tex] \frac{12w - 20}{2} = 6 - 2w \\ 12w \div 2 = 6 \\ so \: we \: get \: 6 - 2w \\ now \: 6 - 2w = - 4[/tex]

hope it helps

Answer:

yes is my answer

Step-by-step explanation:

I hoped it helps..

Answer:

No.

Step-by-step explanation:

Use the pythagorean thereom.

Answer:

The constant of proportionality is 6.5.

Step-by-step explanation:

The constant of proportionality is the same thing as the slope and the equation of a line is y = mx + b, where m is the slope. Therefore, 6.5 is the slope because it is multipying by x.

Answer:

you are multiplying by 7

Step-by-step explanation:

so like 3 x 7 = 21

4 x 7 = 28

6 x 7 = 42

9 x 7 = 63

10 x 7 = 70

hope it helps

7,9

Step-by-step explanation:

3x4=21

4x7=28

6x7=42

9x7=64

10x7=70

Answer:

−5

/6

a-

−5

/8

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

First we simplify the exponent to get 25, then multiply it buy 2 and then 6.

25*2*6=300

Answer:

Below,...!

Step-by-step explanation:

[tex]2x^26[/tex]

[tex]2*x^2*6[/tex]

x = 5

[tex]2*5^2*6[/tex]

[tex]2*25*6[/tex]

[tex]50*6[/tex]

[tex]300[/tex]

Chow,...!

Vertex Form: y = a(x - h)^2 + k

Vertex = (h, k)

y + 5 = -2(x - 1)^2

y = -2(x - 1)^2 - 5

Whatever is in the parenthesis, use the opposite sign. Whatever is outside of the parenthesis, use the same sign.

Vertex = (1, -5)

Hope this helps!! :)

Answer:

11

Step-by-step explanation:

Answer:

9and 12at the top is the answer

Answer:

9^12

Step-by-step explanation:

please mark me as brainlest

Answer:

<A = 80 degrees

<B = 20 degrees

<C = 80 degrees

Step-by-step explanation:

(My drawing is not drawn to scale)

Answer:

vhchyjgfufycjchccydychvhcycycfhchchc

Answer:

the equation of the line is   y = -3x - 6

Step-by-step explanation:

Note that since (0, -6) is the y-intercept, we can write the slope-intercept equation of the line as y = mx - 6.  The other given point is (-2, 0) (which happens to be the x-intercept also).  Starting with y = mx - 6, replace y with 0 and x with -2:  

0 = m(-2) - 6.  We now solve this for the slope, m:  0 = -2m - 6 becomes

2m = -6, or m = -3.

With m = -3 and b = -6, the equation of the line is   y = -3x - 6

Answer:

x = 20

<ACD = 113

Step-by-step explanation:

Exterior angle of a triangle is equal to the sum of the interior opposite angles of a triangle

There for,

<CAB + <ABC = <ACD

[tex]2x-9+4x+2 = 5x+13\\6x-7=5x+13\\6x-5x=7+13\\x=20[/tex]

Size of the <ACD

[tex]5x+13\\5*20+13\\100+13\\= 113[/tex]

Answer:

[tex]-\frac{12}{1}[/tex]

Step-by-step explanation:

show -12 as a fraction

Answer:

$9.75

Step-by-step explanation:

We have all we need to solve for Bag #3.

2 bags equal $6.50.

We want 3 bags, not 4. So we need to divide the original cost by 1/2.

$6.50 divided by 1/2 is $3.25

Now we add an additional $3.25 to the original $6.50

16 is the answer.

your welcome.

Answer:

16) 9.08 × 1.74 = 15.7992

17) 7.15 × 3.96 = 28.314

18) 31.05 × 5.82 = 180.711

19) 6.13 × 10.12 = 62.0356

Hope this is what you were looking for :)

Answer:

√5(√7-√2)

(√5+√2)(-√7)

Step-by-step explanation:

i got it right on edge .

The correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and (√5+√2)(-√7)

A number system is defined as a system of writing to express numbers.

Given the integers A, B, and C.

According to the distributive property;

A(B + C) = AB + AC

From the expression, you can see that A is distributed over B and C

So for distributive property, there must be a factor and the sum of terms in parenthesis.

Based on the given options the correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and

(√5+√2)(-√7)

Hence,  the correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and (√5+√2)(-√7)

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Answer:

1/7 or 10/70 i don't know if this will help but have a good day.

Step-by-step explanation:

you have to multiply 20 by 80

Answer:

How many liters are in a full tank? ----- Answer:

Step-by-step explanation:

20 % of 80 = 16

(I really don't know what your asking for, your missing pieces to the question.)

Sorry, :(