Suppose when the price of gasoline is $3.50 per gallon the total amount of gasoline purchased in the United States is 6 million barrels per day. When the price of gas decreases to $3 per gallon the total amount of gasoline purchased is 8 million barrels per day. Based on these numbers and using the midpoint formula the percentage change in price is:

Answer:

a, a, d

Step-by-step explanation:

44

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 10 and h = 9 , then

A = [tex]\frac{1}{2}[/tex] × 10 × 9 = 5 × 9 = 45 in² → a

45

The area (A) of a parallelogram is

A = bh ( b is the base and h the perpendicular height )

Here b = 2 and h = 4 , then

A = 2 × 4 = 8 m² → a

46

A = bh ( with b = 4 and h = 10 )

A = 4 × 10 = 40 m² → d

Answer:

4x+y=-32

Step-by-step explanation:

given,

slope (m) = -4

point: (-8,0)

as we know the slope intercept form of the line is, y=mx+b, b=y-mx, now we put x=-8, y=0 to find b [because the point is given (-8,0) so it must satisfy the equation]

so,

b = 0-(-4)×(-8) = -32

y=mx+b

or, y=-4x-32

or, 4x+y=-32

(this is the standard form of the line)

Using the equation y - y1 = m(x - x1)

y - 0 = -4(x - (-8))

y = -4(x + 8)

y = -4x - 32

Answer:

k = 1/4

Step-by-step explanation:

A proportional relationship is

y = kx  where k is the constant of proportionality

y = 1/4x

k = 1/4

Answer:

a. 1/4

Step-by-step explanation:

1/4 shows the relation of y and x. (that y is one fourth of x)

Answer:

[tex]x=15[/tex]

Step-by-step explanation:

[tex]19x-45=240[/tex]

[tex]19x-45+45=240+45[/tex] (Add [tex]45[/tex] to both sides of the equation to isolate [tex]x[/tex])

[tex]19x=285[/tex] (Simplify)

[tex]\frac{19x}{19} =\frac{285}{19}[/tex] (Divide both sides of the equation by [tex]19[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]\bf x=15[/tex] (Simplify)

Hope this helps!

Answer:

x = 15

Step-by-step explanation:

To solve this problem we want to get the variable "x" on one side by itself.

(Step 1: Re-write equation)

19x - 45 = 240

(Step 2 : add 45 on both sides.)

19x - 45 = 240

       +45  +45

--------------------------

19x = 285

(Step 2: Divide 19 on both sides)

19x/19 = 285/19

x = 15

Hope this helps :)

Answer:

200.96

Step-by-step explanation:

Volume of cone=(1/3)*pi*r^2*h

Volume=(1/3)*pi*16*12=64*3.14=200.96

Answer:

It seems like you misunderstood the instructions, though I don't blame you because they wrote it strangely. I believe that you're supposed to draw your own conclusion and then explain how you go there, rather than analyze a conclusion that was already drawn for you. If a long drive=a large fare, and you've been told that the driver has a long drive, you can draw the conclusion that "The fare will be large."

Answer:

83/200

Step-by-step explanation:

41%=41/100=0.410

42%=21/50=0.420

41.5%=83/200=0.415

Hey there! I'm happy to help!

Hey there! I'm happy to help!

First, let's find the area of the circle of the first cylinder. To do this, we square the radius and multiply by 3.14.

3²=9

9×3.14=28.26

Now we multiply by our height of 49 cm to see how much water there is.

28.26×49=1384.74

Now, let's find the area of the circle of the 7 cm cylinder.

7²=49

49×3.14=153.86

Now, we will take our liquid amount (volume) and divide by this circle amount (base) to find the number of centimeters of height of the water column.

1384.74÷153.86=9

So, the height of our water column will be 9 cm.

Have a wonderful day and keep on learning! :D

Answer:

Sol:Here

Radius (R) =7cm

Area of circle (A) =pie*r^2

=22/7*7^2

=3.14*7^2

=3.14*49

=153.86

Answer:

Step-by-step explanation:

A=πr²

Given r=7,A=π(7²)=49πcm²

Vì tam giác ABC cân tại A (gt) mà AM là đg trung tuyến nên AM đồng thời là đg cao của t/giác đó:

AM là trung tuyến của t/giác ABC nên M là trung điểm BC:

=> BM =BC/2 =6:2=3(cm)

Xét tam giác AMB vuông tại M

AB^2 =AM^2+BM^2 ( theo định lý Py-ta -go)

Answer:

x= 31.8

Step-by-step explanation:

22/sin(75) = 12/sin(x)

or, 22/(12×sin(75)) = 1/sin(x)

or, sin(x) = 12×sin(75)/22

or, x = arcsin(12×sin(75)/22)

or, x = 31.8 (rounded to the nearest tenth)

Answer:

(C). 126

Step-by-step explanation:

[tex]\frac{45}{x}[/tex] = [tex]\frac{65}{182}[/tex]

x = 126

Answer:

Hello,

Answer C\\

Step-by-step explanation:

Triangle EUT is similar to triangle EGF

[tex]\dfrac{EU}{EG} =\dfrac{ET}{EF} \\\\\dfrac{140-90}{140} =\dfrac{45}{EF} \\\\\\EF=\dfrac{45*140}{50} \\\\\\RF=126\\\\Answer\ C\\[/tex]

B is the midpoint of DC.

5:-c

The 3multiples are 25,50,75

6:-c

[tex]\\ \sf\longmapsto 6\:of\:2+9-5[/tex]

[tex]\\ \sf\longmapsto 6(11-5)[/tex]

[tex]\\ \sf\longmapsto 6(6)[/tex]

[tex]\\ \sf\longmapsto 36[/tex]

7:-a

12,17

8:-c

HCF=2×2×11=44

9:-c

LCM of 9 and 5 is 45 hence its true

10:-c

HCF of two consecutive numbers is 1

Answer:

- 120

Step-by-step explanation:

call x is the number you want to find

Answer:

-9x-35/21

Step-by-step explanation:

Answer:

[tex]\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]\frac{-3}{7}* (-1\frac{2}{3})=\frac{-3}{7}*\frac{-5}{3}\\\\= \frac{5}{7}[/tex]

Answer:

2

Step-by-step explanation:

Im pretty sure that its 62.5%

Answer:

62%

Step-by-step explanation:

If you need to round to nearest percent it will be 63%

Answer:

750

300

390, 570

120,750

2.28

15.87

Step-by-step explanation:

Answer:

Answer number one  the

Step-by-step explanation:

the unequal triangles. If measured by angle, they are equivalent.

Answer:

A-Third quartile-First quartile

Step-by-step explanation:

The interquartile range is found by taking the third quartile minus the first quartile. It is also found by taking the right side of the box in a box and whisker plot and subtracting the left side of the box in a box and whisker plot

Answer:

382.5 :)

Step-by-step explanation:

took test

9514 1404 393

Answer:

  7.56 cm

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3b²h . . . . where b is the base edge length, and h is the height.

Here we have V = 144 cm³, and b = h. Filling in these values and solving for h, we get ...

  144 cm³ = 1/3h³

  432 cm³ = h³

  h = ∛432 cm ≈ 7.55953 cm

The height of the pyramid is about 7.56 cm.

Answer:

[tex]7.56cm[/tex]

Step-by-step explanation:

Given that,

base length = Height

so,

[tex]volume = \frac{1}{3} {b}^{2} h \\ [/tex]

We can also write this as( according to this question)

[tex]v = \frac{1}{3} \times {b}^{2} \times b \\ v = \frac{ {b}^{3} }{3} [/tex]

let's solve

[tex]v = \frac{ {b}^{3} }{3} \\ 144 = \frac{ {b}^{3} }{3} \\ 144 \times 3 = {b}^{3} \\43 2 = {b}^{3} \\ \sqrt[3]{432} = b \\ b = 7.55[/tex]

[tex]base = height = 7.55cm \\ [/tex]

= 7.56cm

Answer:   [tex]\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}[/tex]

Step-by-step explanation:

[tex]\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c[/tex]

Answer:

9.

Step-by-step explanation:

45 / [8(5 - 4) - 3]

= 45 / (8 * 1 - 3)

= 45 / (8 - 3)

= 45 / 5

= 9.

Hope this helps!

find the cost of the painting of a rectangular box of length 6m breadth 4m and height 3m at the rate of rs.25 per meter square

According to the question, first we need to get the T.S.A. or Total Surface Area of the cuboid then dividing it by ₹ 0.25 we can get the cost. After solving the concept will be more clear.

Let's start :

Here,

l represents length

b represents breadth

h represents height

Now, putting the values of all these we get

Now, we are given that cost of every square metre costs ₹ 0.25

So, for 108 m² it will cost = ₹ 108 × 0.25 = ₹ 27

Hence, cost of painting the rectangular box is ₹ 27

Answer:Rs.2700

Step-by-step explanation:step1is 2[6*3]+2[6*4]=84

step2is 2[3*4]=24

24+84=108*25=2700

Answer:

The first statement is incorrect

Step-by-step explanation:

1 1/5 is positive so it is greater than the negative numbers

-2 2/5 is more negative than -1 3/5 so it is to the left on the number line

-2 2/5 < -1 3/5 < 1 1/5

11/5  < -2 1/5 is not correct  because 1 is bigger than -2