The table below shows the relationship between the number of gallons of fremaining in a truck and the number of hours the truck has been driven.
Driving a Truck
Time Driven (h) 0 2.5 5 7.5 10
Fuel (gal)
175
125 100
200
150
Which of the following best represents the rate of change for the number of gallons of fuel remaining with respect to the number of hours the truck has been driven?
-200 gal/h
-10 gal/h
0-1 gal/h
O-to galh

Answer:

73

Step-by-step explanation:

yes it is 73dddfmsmxk

This question is incomplete, the complete question is;

For integers a, b and k, we know that a > 12, b < 20 and a < b. If b=7k, what is the value of k ?

Answer: the value of k = 2

Step-by-step explanation:

Given that;

a > 12

b < 20

a < b

If b = 7k

Now if k = 1      {b = 7k = 7}

b would be equal to 7 but b has to be greater than 20

IT CANT BE

if k = 2        { b = 7k = 14}

b would be equal to 14, a is greater than 12, b has to be less than b; 14 < 20,

a has to be less than than b ( 12 < 14 )

IT IS

if k = 3      {b = 7k = 21}  

b would be equal to 21, so b is greater than 20 and a is less than 21

IT CANT BE

Therefore the value of k = 2

Answer:

a = 16

w = 125

x = 120

y = 55

Step-by-step explanation:

FINDING 'a'

31 = a + 46 / 2

62 = a + 46

16 = a

FINDING 'w'

* This section looks Non-Isosceles trapezoid so I will be following the rule according it

w + 55 = 180

w = 125

FINDING 'y'

y = 55

- Because of corresponding angles

FINDING 'x'

* In this case it looks like we are still dealing w/ an non-isosceles trapezoid.

x + 60 = 180

x = 120

Hope this helped ^^

(Please inform me of any mistakes or misunderstandings!)

Given:

The objective function, [tex]C=2x+3y[/tex],

Constraints,

[tex]2x+3y\leq 24[/tex]

[tex]3x+y\leq 15[/tex]

[tex]x\geq 2[/tex]

[tex]y\geq 3[/tex]

To find:

The minimum value of the given objective function.

Solution:

We have,

Objective function, [tex]C=2x+3y[/tex]            ....(i)

The related equations of given constraints are

[tex]2x+3y=24[/tex]       ...(ii)

[tex]3x+y=15[/tex]              ...(iii)

[tex]x=2[/tex], it is a vertical line parallel to y-axis and 2 units left from y-axis.

[tex]y=3[/tex], it is a horizontal line parallel to x-axis and 4 units above from y-axis.

Table of value for (i),

x :   0     12

y :   8     0

Table of value for (ii),

x :   0      5

y :   15     0

Plot these points on a coordinate plane and draw these 4 related lines.

The sign of inequality of [tex]2x+3y\leq 24[/tex] and [tex]3x+y\leq 15[/tex] is ≤, it means the related lines are solid lines and the shaded region lie below the related line.

For [tex]x\geq 2[/tex], left side of the line [tex]x=2[/tex] is shaded.

For [tex]y\geq 3[/tex], shaded region is above the line [tex]y=3[/tex].

From the below graph it is clear that the vertices of the feasible (common shaded region) are (2,3), (4,3), (3,6) and (2,6.667).

Points                     [tex]C=2x+3y[/tex]    

(2,3)                        [tex]C=2(2)+3(3)=4+9=13[/tex]    (Minimum)

(4,3)                        [tex]C=2(4)+3(3)=8+9=17[/tex]    

(3,6)                        [tex]C=2(3)+3(6)=6+18=24[/tex]    

(2,6.667)                 [tex]C=2(2)+3(6.667)=4+20=24[/tex]

Therefore, the objective function is minimum at point (2,3).

Answer:  The answer is 50.24 SQAURE INCHES.

Step-by-step explanation: So this circle is even. 8 up and down. * to the right and left. Now the area needs to be found. If the diameter is 8 inches, your answer should be 50.24 SQUARE INCHES.

Answer:

32

Step-by-step explanation:

first multiply 6×1.

1/2×(6×7)+11

Then multiply 6×7

1/2×42+11

Third you multiply 1/2 and 42

1/2×42= 21

finally you add together 21+11

21+11= 32

Answer:

x-3*2

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

d=10-5.5

d= 4.5

we just need to minus 10 with 5.5 so that we can find d

Answer:

The answer would be C

Step-by-step explanation:

The reason it is C, is because, if you add 13 to 3, you would get 16. Then, by dividing that by 2, you would get the desired answer of 8.

Answer:

c

Step-by-step explanation:

I just know because I worked it out on paper

Answer: the awnser is B

Answer:

3

−

5

+

4

+

5

=

1

4

0

3d{\color{#c92786}{-5}}+4d+{\color{#c92786}{5}}=140

3d−5+4d+5=140

3

+

4

=

1

4

0

3d+4d=140

3d+4d=140

2

Combine like terms

3

+

4

=

1

4

0

{\color{#c92786}{3d}}+{\color{#c92786}{4d}}=140

3d+4d=140

7

=

1

4

0

{\color{#c92786}{7d}}=140

7d=140

3

Divide both sides of the equation by the same term

7

=

1

4

0

7d=140

7d=140

7

7

=

1

4

0

7

\frac{7d}{{\color{#c92786}{7}}}=\frac{140}{{\color{#c92786}{7}}}

77d​=7140​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

2

0

d=20

d=20

Solution

=

2

0

hope it help

Step-by-step explanation:

Answer:

the answer is 20

Step-by-step explanation: combine like terms

7d = 140

then divide

140/7

20

Answer:

Hope you find the help you need on this sorry , i couldnt find the answer :( good luck !!

Step-by-step explanation:

Aneser:

+98

Step-by-step explanation:

when you are adding something to something to something else u put a plus sign to add it hope this helps

Answer:

Right triangle

Step-by-step explanation:

[tex] {5}^{2} + {(5 \sqrt{3} )}^{2} = 25 + 75 = 100 \\ \\ {10}^{2} = 100 \\ \\ \implies \: {5}^{2} + {(5 \sqrt{3} )}^{2} = {10}^{2} \\ [/tex]

So, by converse of Pythagoras theorem given side lengths form a right triangle

Answer:

Right

Step-by-step explanation:

The side lengths are 5, 5√3, and 10. This tells me this is a 30° 60° 90° triangle. In a 30° 60° 90° triangle, the relationship between the side lengths are a, a√3, and 2a. a represents the side length of the first leg of the triangle. a√3 represents the second side length, which is the first leg's side length multiplied by √3. Finally, 2a represents the hypotenuse which is two times bigger than the first leg's side length.

Answer:

4

Step-by-step explanation:

Answer:

it will serve 3 people!

Step-by-step explanation:

divide 6 by 2!

hope this helped!

for brainliest!

Answer:

21:36

Step-by-step explanation:

add the hours

add the minutes

if minutes are 60 or more

subtract 60 form minutes

and add 1 to hours

Answer:the answer is A: (0,80)

Step-by-step explanation:

I believe the answer is 1in

Answer: I said 1 inch. I am not 100% sure.

Step-by-step explanation:

Answer: all my caculations are leading me to B

Answer:

I think its either C or D. Hope this helps, give brainliest if correct!

Answer:

X=0 {multiplicity of 1}

X=2 {multiplicity of 1}

X=7/3 {multiplicity of 1}

Step-by-step explanation:

Answer:

They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.

Step-by-step explanation:

coochie man

Answer: 47.06

Step-by-step explanation: math

Answer:

-1.4

Step-by-step explanation:

There are five increments between -2 and -1, so we find the difference between -2 and -1, which is 1. Divide 1 by five (increments)=.2

This means that every increment is worth 0.2.

If we see it from the left to right, from -2, there are 3 increments to the right, so multiply three by 0.2 which is 0.6, add 0.6 to -2, which is -1.4.

Hope this helps!

Answer:

The answer is 37