The table shows the number of gallons of gasoline in a car's gas tank after the car has been
driven x miles.
S
Gasoline Usage
Miles Driven, Gasoline in
Gallons of
х
Tank, y
0
15
10
14.6
20
14.2
35
13.6
60
12.6
75
12
When these data are graphed on a coordinate grid, the points all lie on the same line. What
are the slope and y-intercept of this line?
F Slope = 25 y-intercept = 375
G Slope = -25 y-intercept = 15
H Slope =25, y-intercept = 375
J Slope = -25, y-intercept = 15
O A/F
OB/G
ОС/Н
OD/

Answer:

Free points

Step-by-step explanation:

Answer:

The surface area of the sphere is approximately equal to 379.9 square centimetres.

Step-by-step explanation:

The surface are a of a sphere with respect to radius is 4πr².  We're given the diameter, of 11 cm, so we know that the radius is 5.5 cm.

With that we can find the surface area:

[tex]a = 4\pi r^2\\a = 4\pi (5.5cm)^2\\a = 4\pi \times 30.25cm^2\\a = \pi \times 121cm^2\\a \approx 3.14 \times 121cm^2\\a \approx 379.9cm^2[/tex]

Answer:

? = 64

Step-by-step explanation:

36 + 84 + x = 180

x + 120 = 180

x = 60

60 + y = 90

y = 30

30 + 86 + ? = 180

? = 64

Answer:

A= -53/7

Step-by-step explanation:

1 x 10 -1 x 7 x A=7 x 9

10-7A =7 X 9

10-7A=63

-10 -10

-7A=53

A= -53/7

Answer:

2.5 betul tak........

Step-by-step explanation:

i/o

Answer:

15

Step-by-step explanation:

If the computer is 36 inches in width

Then it's automatically is 15 inches in .length

Answer:

3. (1,15) and (6,30) = 30-15/6-1=3x

4. 66=3x+12 then 18 weeks

Answer:

x=2+√14

Step-by-step explanation:

log(x)+log(x−4)=1

log(x to the second power−4x)=1

Step 1: Solve Logarithm.

log(x2−4x)=1

10log(x2−4x)=101(Take exponent of both sides)

x2−4x=101

x2−4x=10

x2−4x−10=10−10(Subtract 10 from both sides)

x2−4x−10=0

For this equation: a=1, b=-4, c=-10

1x2+−4x+−10=0

x=

−b±√b2−4ac

2a

(Use quadratic formula with a=1, b=-4, c=-10)

x=

−(−4)±√(−4)2−4(1)(−10)

2(1)

x=

4±√56

2

x=2+√14 or x=2−√14

Check answers. (Plug them in to make sure they work.)

x=2+√14(Works in original equation)

x=2−√14(Doesn't work in original equation)

Answer:

x=2+√14

Answer: $8.99

Step-by-step explanation:

From the question, we are informed that Pedro bought 4 tickets to go to "Off the Wall" and that he paid $35.96 without taxes.

To find the average price of tickets, we have to divide the amount paid by the tickets bought. This will be:

= $35.96 / 4

= $8.99

Answer:

37

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don't do this question the way it is outlined. My way is a bit shorter.

The general equation is y = mx + b

You want the slope to be - 1/5 which you just read from the given equation.

So, so far you have y = -1/5x + b

Now for the point which is (5,-4)

x = 5

y = - 4

-4 = -1/5 * 5 + b

-4 = -1 + b

b = -4 + 1

b = - 3

the equation is y = -1/5 x - 3

===========================

Now let's do it your way.

y - y1 = m(x - x1)

x1 = 5

y1 = - 4

m = - 1/5

y - - 4 = -1/5(x - 5

y + 4 = -1/5x + 1        Take 4 from both sides

y = -1/5 x + 1 - 4

y = -1/5 x - 3

Same answer. I never knew that was possible.

Answer:

[tex]m= \frac{6}{5}[/tex]

Step-by-step explanation:

Slope can be calculated using following formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here

[tex](x_1, y_1) = (-5, -1) \ \ and \ \ (x_2, y_2) = (5, 11)[/tex]

Slope m is given as

[tex]m=\frac{11-(-1)}{5-(-5)}[/tex]

[tex]m=\frac{12}{10}\\m=\frac{6}{5}[/tex]

Answer:

Step-by-step explanation:

RV=VU and SW=WT    ⇒    [tex]VW=\dfrac{RS+UT}{2}[/tex]

So:

[tex]3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}\\\\3x+5=4x-11\\^{\qquad-5\qquad-5}\\3x=4x-16\\^{-4x\qquad-4x}\\-x=-16\\^{\div(-1)\quad\div(-1)}\\x=16\\\\RS=2x+15=2\cdot16+15=32+15=47[/tex]

Answer: 210 tickets

Explanation:

1. Multiply the number of tickets he sold on Monday (21) by 3. (21x3=63)

2. Multiply the number of tickets he sold on Tuesday (63) by 2. (63x2=126)

3. Add all of those together to get the answer. (21+63+126=210)

Answer:

neither

Step-by-step explanation:

there is only one side on the big triangle and each of the little ones

Answer:

11x

Step-by-step explanation:

find what times itself gets 64 thats 8 so 64=8 now do the same to the 9=3 now you add 8+3=11 just add x

Answer:

Gum is 6 Q 1 D 1 N Raspberries is 12 Q 1 N 1 D

Step-by-step explanation:

Answer:

56 miles

Step-by-step explanation:

9514 1404 393

Answer:

  55.9%

Step-by-step explanation:

The percentage is found by multiplying the fraction by 100%.

  19/34 × 100% ≈ 55.9%

About 55.9% of the class are girls.

Answer:

a. 10,000

b. 81

c. -8

d. 25

e. 1236

f. 8/27

g. 81/625

h. 1/32

i. 1/36

j. 1

k. 8

Step-by-step explanation:

How I got each of these answers:

a. 10^4

10 * 10 * 10 * 10

100 * 10 * 10

1000 * 10

10000

b. -3^4 (two negatives equal a positive)

-3 * -3 * -3 * -3

9 *-3 * -3

-27 * -3

81

c. -2^3

-2 * -2 * -2

4 * -2

-8

d. -5^2

-5 * -5

25

e. -6^4

-6 * -6 * -6 * -6

36 * -6 * -6

-216 * -6

1236

f. (2/3)^3

(2*2*2)/(3*3*3)

(4*2)/(9*3)

8/27

g. (-3/5)/4

(-3*-3*-3*-3)/(5*5*5*5)

(9*-3*-3)/(25*5*5)

(-27*3)/(125*5)

81/625

h. (1/2)^5

1/(2*2*2*2*2)

1/(4*2*2*2)

1/(8*2*2)

1/(16*2)

1/32

i. (-1/6)^2

(-1 * -1)/(6*6)

1/36

j. (2/5)^9 / (2/5)^9

(2^9)/(5^9) / (2^9)/(5^9)

(512/1953125) / (512/1953125)

1

k. -24t^4/-3t^4

(-24t^4)^1 * (1/-3t^4)

(-24)^1 * (t^4)^1 * (1/-3) * (1/t^4)

(-24)^1 * (1/-3)(t^4) * (1/t^4)

(-24)^1 * (1/-3) * t^4 * t^4(-1)

(-24)^1 * (1/-3) * t^4 * t^-4

(-24)^1 * (1/-3) * t^0

-24 * -1/3 * t^0

8t^0

8 * 1

8

Answer: They believed each temple they built should honor only one god, no matter how big or elaborate the temple.

Step-by-step explanation:

Answer:

I think is triangle.........

Answer:

Option D is the answer hope it helps :)

Step-by-step explanation:

Answer:

Yes, there is a proportional relationship.

Step-by-step explanation:

I can't put a graph in here unfortunately.

Answer:

36x + 125 =?

40x + 90 =?

Step-by-step explanation:

Step-by-step explanation:

Jack road his bike 30 mile in 5 hours

1 mile he go=[tex]\tt{\dfrac{5}{30}hours }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{\dfrac{1}{6}hours }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{6 min }[/tex] ⠀