The manager at the Fuel Stop gas station says that gas prices are decreasing across the country and their station will still make a profit as long as there is not a greater than 10% decrease in gas prices. Gas prices decreased this week from $4 per gallon to $3.80 per gallon. Will Fuel Stop continue to make a profit? Why or why not?

Answer:

y = 4x - 31

Step-by-step explanation:

Parallel slope (m) = 4

(5, -11)

y - y1 = m(x - x1)

y + 11 = 4(x - 5)

y + 11 = 4x - 20

y = 4x - 31

Answer:

19 < x < 67

Step-by-step explanation:

triangle inequality theorem:

x + 24 > 43

43 + 24 > x

The range of the possible lengths, in inches, for the third side, x, of this triangle with two sides of a triangle are 24 inches and 43 inches is,

⇒ 19 < x < 67

Any triangle which is a three sided polygon, and, has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The lengths of two sides of a triangle are,

⇒ 24 inches

And,  43 inches.

Hence, The range of the possible lengths, in inches, for the third side, x, of this triangle is find as;

⇒ 43 - 24 < x < 43 + 24

⇒ 19 < x < 67

Therefore, The range of the possible lengths, in inches, for the third side, x, of this triangle with two sides of a triangle are 24 inches and 43 inches is,

⇒ 19 < x < 67

Learn more about the triangle visit;

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#SPJ2

Answer:

58,928.6 rotations

Step-by-step explanation:

2.2 in x (2.54cm/in) x (1m/100cm)= .056 m/circumference

3300m/(.056m/rotation) = 58,928.6 rotations

Answer:

C. Kat can be 90% confident that the constructed interval (22.96, 26.64) captures the true mean number of eggs chickens from this farm lay.

Step-by-step explanation:

Edge 2021

Answer:

10/12

Hope it helps.

Answer:

22

Step-by-step explanation:

if you look closely VW looks like two SU

so 11 × 2 = 22

Mark as Brainllest

Answer:

37.7

Step-by-step explanation:

C=πd=π·12≈37.69911

rounded to the nearest hundredth 37.7.

hoped this helped.

Answer: It is 202.1 lol

Answer:b

Step-by-step explanation:

math will be the death of me

Answer:

C

Step-by-step explanation:

14x4=56 and 26x2=52 so with process of elimination you get C

Answer:

M = 21.n =19

That should do

Answer:

-0.6

Step-by-step explanation:

-0.85-(-1/4)+0.4+(-2/5)

=-0.85+0.25+0.4-0.4

=-0.6

Answer:

if he is traveling 24 miles in an hour his average speed is going to be 24mph.

Answer:

Hello There!

Step-by-step explanation:

Your answer is:

if this helps please give me a thanks!!

- abakugosimp

Answer:

the answer is 11.7

Step-by-step explanation:

Step-by-step explanation:

4. E=-6

-9

multiply both sides by the LCM=-9

-9 × (e) = -6×-9

-9

therefore the LCM will cancel I out the denominator

e = -6×-9

e= -54

5. K =2

12

multiply through by the LCM=12

12×(k)=2×12

12

cross out

k=24

6. m=-10

6

multiply through by the LCM=6

6×m=-10×60

6

cross out

m=-60

So follow suit

Answer:

A. T > 50

Step-by-step explanation:

Answer:

346

Step-by-step explanation:

(40*22)-(34*16)

=880-544

=346

Answer:336

Step-by-step explanation:

22x40=880 total sq ft

16x34=544 inner sq ft

880-544=336

Answer:

(a) 6.01 (b) 57.33

Step-by-step explanation:

(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)

=> DF² = 244 - 240 · cos(30°)

=> DF² = 36.154

=> DF = √36.154

=> DF ≈ 6.01

(b) [tex]\frac{12.8}{sin(63)} = \frac{12.4}{sin (B)}[/tex]

=> sin (B) = sin (63) × 12.4 ÷ 12.8

=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)

=> B = 59.67355245

180 - 63 - 59.67355245 ≈ 57.33

Law of cosines & sines:

Answer: x=133

Step-by-step explanation:

This is a hexagon that has a total of 720 degrees (which you can get by the formula of degrees = (# of sides – 2) * 180).

You first add up all your side:

150+130+97+120+90 +x = 587 + x

587+x = 720

x=133

Answer:

Volume of composit figure= 4834.14 cm^3

Step-by-step explanation:

here's your solution

=> Radius of hemisphere = 9 cm

==> volume of hemisphere = 2/3πr^3

==> volume of hemisphere = 2/3*22/7* 9^3

==> volume = 1526.04 cm^3

=> Radius of cylinder = 9 cm

=> Height of cylinder = 13 cm

==> volume of cylinder = πr^2h

==> volume of cylinder = 22/7*9^2*13

==> volume of cylinder = 3,308.1 cm^3

Volume of composit figure = 1526.04 + 3308.1

= 4834.14 cm^3

hope it helps

Answer:

I don't know what the options are, but my equation is (1/4) * n = 9

Step-by-step explanation:

n yards

Each strip = 1/4 yard

9 bracelets made

9 = (1/4) * n

Answer:

a) x=3

b) z=10

c) P= 2

d) X=7

e) U=1

Step-by-step explanation:

Resolver una ecuación consiste en hallar los valores de la variable que hacen cierta la igualdad.

a) 2x= 6

El coeficiente es el número junto a la variable. En este caso, el coeficiente es 2. Para eliminar este número en la expresión 2x, debido a que la variable x esta multiplicada por 2, deberás dividir ambos lados de la ecuación entre 2, debido a que la operación opuesta de la multiplicación es la división.

(2x)÷2=6÷2

x= 3

Comprobar la solución de una ecuación se hace al remplazar la variable en una ecuación con el valor de la solución. La solución debería satisfacer la ecuación cuando se ingresa en esta.

En este caso:

2*3= 6

6=6

b) 10 + z= 20

En este caso se debe sumar o restar la constante que se encuentra acompañando a la variable en ambos lados de la ecuación de manera de aislar el término de la variable. En este caso:

10 - 10 + z= 20 -10

z= 10

Comprobación:

10 + z=20

10 + 10=20

20=20

c) P + 9= 11

P +9 - 9= 11 -9

P=2

Comprobación:

2 + 9= 11

11=11

d) 3X + 8 = 29

En este caso, se suma o resta la constante en ambos lados de la ecuación y luego se elimina el coeficiente de la variable mediante la división o multiplicación. Esto es:

3X + 8 - 8= 29 - 8

3X= 21

3X ÷3= 21÷3

X=7

Comprobación:

3*7 + 8=29

21+8=29

29=29

e) 2U + 8= 10

2U + 8 - 8= 10 -8

2U= 2

2U ÷2= 2÷2

U=1

Comprobación:

2*1 + 8= 10

2 + 8= 10

10=10

Answer:

This is true

Step-by-step explanation:

The fractions are just switched around.

Answer:

Ratio that would go in box b.

ratio=16:36

Ratio that would go in box c.

is =64:216

Ratio that would go in box d.

is=2:7

This can be found by 8:343 which represents 2³:7³

Means D denotes to exponent

3-D ratio falls under c

So

ratio on box c is

#4

Ratio on box D is 2:7 (Found at top)

#5

Box f is under 2-D

2²:7²

For box b

the ratio is

Answer:

You lose $0.833 while Rick gains $0.833, and so Rick is not Loco

Step-by-step explanation:

There are six numbers on a dice. Thus, probability of rolling exactly one number = 1/6

Probability of rolling two is 2/6.

Rolling a 1 pays $25, and probability = 1/6

Rolling a 2 pays $5,and probability = 1/6

Rolling a 3 pays $0, and probability = 1/6

Rolling a 4 or 5 pays -$10, and probability = 2/6

Rolling a 6 pays -$15, and probability = 1/6

Thus,lets calculate the expected value;

EV = (25 × 1/6) + (5 × 1/6) + (0 × 1/6) + (-10 × 2/6) + (-15 × 1/6)

EV = - $0.833

This means you lose $0.833 while Rick gains $0.833, and so Rick is not Loco.

Answer:

One of Africa's most efficient predators, wild dogs may help regulate prey species that in turn play a role in shaping vegetation communities. Securing a future for wild dogs, therefore, is an essential part in stemming the loss of biodiversity and preserving a healthy ecosystem.

Answer:

wild dogs may help regulate prey species that in turn play a role in shaping vegetation communities. Securing a future for wild dogs, therefore, is an essential part in stemming the loss of biodiversity and preserving a healthy ecosystem.

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Sum of all the angles of a triangle is 180

so 70+47+X=180

X= 180-117

X=63

Answer:

Yes there is a line

y=14x-8

Step-by-step explanation:

use slope formula and incorporate the slope into the coordinates

Answer:

[tex]y = 14x - 8[/tex]

Step-by-step explanation:

. Using euclid postulate,

" any two points can be on a line".

So yes a line can be formed

Use the linear equation in ppont-slope form

[tex]y = mx + b[/tex]

where m is slope, b is the y intercept.

We can find the slope of the points first.

[tex]48 - 6 = 42[/tex]

[tex]4 - 1 = 3[/tex]

[tex] \frac{42}{3} = 14[/tex]

Our slope is 14.

We can plug in any two coordinates to find b.

[tex]14(1) - b = 6[/tex]

[tex] - b = - 8[/tex]

So our equation is

[tex]y = 14x - 8[/tex]

Answer:

-9/4 = x

Step-by-step explanation:

4 is the same as 4/1

this problem is a proportion which can be solved by cross-multiplying:

7 = 4(x+4)

7 = 4x + 16

-9 = 4x

-9/4 = x