Ron needs 22 gallons of gas to get to and from work every week. Last week gas cost $2.42 per gallon. This week it dropped to $2.33 per gallon. How much less money did Ron spend this week on gas for work?

Answer:

2401

Step-by-step explanation:

use a calculator and this can also be written as 7^4

Answer:

2401

Figure out 7x7 then just multiply the answer by 2.

Answer:

480 * 0.04 = 19.2

$19.20

Answer:

1 hour 45 mins

Step-by-step explanation:

56÷8=7

7x15=105mins

105mins=1hr 45mins

Answer:

                                                                  1.

The farmer needs to spread hay under all the squash plants. Write an expression, using x, that represents the amount of the area of the field just for the squash.

                                     solution

area of rectangle is L x W,

let L =4x and and W = x

therefore Area (A) = 4x(x)  = 4x2

                                                               2

The farmer needs a small fence for just around the potato patch. Write an expression, using x, that represents the perimeter of the part of the field just for potatoes. (simplify)

                                     solution

parameter(P) = 2( L + W )

let L=x2 - 7x +12 and W = x +6

therefore  

P = 2(x2 -7x +12 + x + 6)

 = 2( x2 -6x + 18)

P  = 2x2 -12x +36

                                                       3.

Challenge question! Write an expression, using x, that represents the perimeter of the entire garden, should the farmer want a bigger fence. (simplify)

                                                          solution

P= L1+L2+W1+W2

when

L1 = x + 6x +xy -1 = 7x +xy -1

L = 5x + 2 + x2 - 9 +x2 -7x + 12 = 2x2 5x + 2

w1 4x + 5x -2

w2 = xy + x 7

p = 7x +xy -1 + 2x2 5x + 2 + 4x + 5x -2 + xy + x 7

p = 2xy + 2x2  +16x +9

Step-by-step explanation:

Step-by-step explanation:

10/1(-4)

10(-4)

=-2.5 or 5/-2

Answer:

30

Step-by-step explanation:

3x+6y=9

multiply by 2

6x+12y=18   ....(1)

-2x+-4y=4

multiply by 3

-6x-12y=12   ...(2)

add (1) and (2)

0+0=30

Answer:

x > -11/10

Step-by-step explanation:

-2/6(4-x) < 4(x+1/2)

-1/3(4-x) < 4x + 2

-4/3 + 1/3x < 4x + 2

-4 +x < 12x + 6

x - 12 x < 6 + 4

-11x < 10

x > -11/10

Answer:

Step-by-step explanation:

Volume = length * width * height

= (x + 1) *x *(3x + 5)    

Multiply (x +1) and x

= (x*x + x*1) * (3x +5)

= ( x² + x) * (3x + 5)          

= x²*(3x +5 ) + x(3x +5)

=x²*3x + x²*5 + x*3x + x*5

= 3x³ + 5x² + 3x² + 5x

= 3x³ + 8x² + 5x

Answer: 32 + 1 and 5 x 2

Answer:

y = x - 5

Step-by-step explanation:

Given the point, (10, 5), and the slope, m = 1:

Substitute these values into the slope-intercept form to solve for the y-intercept, b:

y = mx + b

5 = 1(10) + b

5 = 10 + b

Subtract 10 from both sides to isolate b:

5 - 10 = 10 - 10 + b

-5 = b

The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).  

Therefore, given the slope, m = 1, and the y-intercept, b = -5:

The equation of the line in slope-intercept form is:  y = x - 5.

Answer:

In point form, the answer is (1, -7) and in equation form, x = 1, y = -7.

Step-by-step explanation:

I hope this helps!

Step-by-step explanation:

"You're always right" means that you're a right angle (90°) and [tex]\sin{90°} = 1.[/tex]

Answer of the riddle is 1.

A right angle is an angle that is exactly equal to 90 degrees (or π/2) in measure.

The exact value of sine 90 degree.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

According to the given question

We have a riddle " You're always right, what is your sine?".

So, you're always right means you are always at 90 degrees.

What is your sine means, what is sin 90 degrees.

And we know that

[tex]sin90=1[/tex]  

Hence, the answer of the riddle is 1.

Find out more information about sine of an angle here:

https://brainly.com/question/25604985

#SPJ2

Answer:

c, 48 cubic meters

Step-by-step explanation:

Answer:

The correct answer is C, which is 48 cubic meters.

5/? = 15/45

15/3   /   45/3

5/15

? = 15

Answer:

5.43 > 5.340 > 5.249 > 5.209

Step-by-step explanation:

Answer:

5.43, 5.340,  5.249, 5.209,

Step-by-step explanation:

im in high school this is very easy for me.          its right

The more numbers the more exact it is. Just because it has more numbers doesn’t mean it’s bigger. all decimals have infinite zeros after it. So if you have two twos after a decimal you have to go to the next number and see which one is less.

Answer:

i do not know

Step-by-step explanation:

i really do not know

Answer:

Measure of angle A = 120°

Measure of angle B = 98°

Measure of angle C = 104°

Measure of angle D = 140°

Step-by-step explanation:

Since the two straight lines are parallel

, then A + 12X =180° (alternate angles)

, then A = 180° - 12X

Since the two straight lines are parallel

, then measure angle A = measure angle (25X-5)°

(opposite angles)

, then 180° - 12X = 25X - 5° (solve it like a normal equation)

, then 180° + 5° = 25X + 12X

, then 185° = 37X

, then X = 185° ÷ 37

= 5

, then measure of angle A = 180° - ( 12 x 5 )

= 180° - 60°

, then measure angle A = 120°

Since the two straight lines are parallel

, then measure angle B = measure angle 14X (corresponding angles)

, then 15X - 7 = 14X

, then 15X - 14X = 7

, then X = 7

Since X =7

, then measure angle B = (15 x 7) - 7

= 105° - 7

, then measure angle B = 98°

Since the two straight lines are parallel

, then measure angle C = 8X

(opposite angles)

, then 5X + 39 = 8X

, 39 = 8X - 5X

, 39 = 3X

, then X = 39 ÷ 3

, X = 13

Since X = 13

, then measure angle C = (5 x 13) +39

= 65 + 39

, then measure angle C = 104°

Since straight that angle D lies on = 180°

, then sum of measure of and D and 4X =

180°

, then (12X + 20) + 4X = 180°

, then 16X + 20 = 180°

, then 16X = 160° (resulting from 180° - 20°)

, then X = 10

Since X = 10

, then 12 x 10 + 20 = 120 + 20

,the measure angle D = 140°

Answer:

Step-by-step explanation:

Well the answer is explained below.

Answer:

Transitive

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

Hopes this helps

Answer:

x=-11

y=-1

Step-by-step explanation:

x=4y-7

2x+9y=-31

2(4y-7)+9y=-31

8y-14+9y=-31

17=-31+14

17y=-17

y=-1

x=4(-1)-7

x=-11

Answer:

x = -11, y = -1

Step-by-step explanation:

solving simultaneously,

2(4y-7) + 9y = -31

17y = 14 - 31

17y = -17

y = -1

back sub, we get:

x = 4(-1)-7

x = -11

so x = -11, y = -1

Answer:

$657.09

Step-by-step explanation:

The area of the carpet is:

21 × 9 = 189 Square foot

189 foot² = 21 yard²

We know 1 yard² = $31.29

So 21 yard² = 21 × $31.29 = $657.09

Answer:

120

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.00 - 0.18 = 0.82

F(x) = 600(0.82)ˣ

where x is in hours.

and F(x) is in mg.

Since in the two triangles,

2 angles and the side between them is given and equal, the triangles are congruent using the Criteria ASA.

Option A is the correct answer.

Answer:

Step-by-step explanation:

Hope it helps,view the image:

Answer:

[tex]a) \ sin(x - \frac{\pi }{2})[/tex]

Step-by-step explanation:

You can does a horizontal shift to the [tex]sin[/tex] function.

Beside we know that when [tex]sin(0) = -1[/tex] then the only option that produce the desire result is the [tex]a[/tex] option because

Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answer:

To best show this information, the scale for the T-axis of her graph should go from 0 to at least 400,  and the h-axis of her graph should go from 0 to at least 20.

Step-by-step explanation:

I took the k12 test

By definition of the derivative,

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{(s + h)^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{s^3+3s^2h+3sh^2+h^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\frac{3s^2h+3sh^2+h^3}2}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 \frac{3s^2h+3sh^2+h^3}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 (3s^2+3sh+h^2)[/tex]

[tex]\displaystyle\frac{dr}{ds} = \frac{3s^2}2[/tex]