1.) The price of gasoline went from $3.60 to $2.70 per gallon. What was the percentage decrease in the price of gasoline per gallon?

A.) 20% decrease

B.) 22.5% decrease

C.) 25% decrease

D.) 33.33% decrease

E.) None of these choices are correct.

We know that,

In a right-angled triangle,

Hypotenuse ² = Base ² + Height ²

1 – 10 ² = 6 ² + X ²

Or, X ² = 10 ² – 6 ²

Or, X ² = 100 – 36

Or, X ² = 64

Or, X = √ 64

Or, X = 8 Units

2– X² = 7² + 3²

Or, X² = 49 + 9

Or, X² = 58

Or, X = √58

Or, X = 7.61 Units ( Approx )

3 – 15 ² = EF ² + 9

Or, EF² = 15 ² – 9 ²

Or, EF ² = 225 – 91

Or, EF ² = 134

Or, EF = √ 134

Or, EF = 11.6 Inches ( Approx)

.II} 1 – Here the length of the ladder will be the hypotenuse.

Hence, Hypotenuse = 13 Metre

.Now, The vertical wall will be the height.

Hence, Height = 12 Metre

Distance of the foot of the ladder to the wall will be the base.

Let base be B.

Now, Hypotenuse ² = Base ² + Height ²

Or, 13² = B² + 12²

Or, B² = 13² – 12²

Or, B² = 169 – 144

Or, B² = 25

Or, B = √25

Or, B = 5 Metre

Hence, the distance of the foot of the ladder from the wall is 5 metre apart.

Answer:

15 days.

Step-by-step explanation:

1 person : 4 bird houses : 3 days

1 person : 20 bird houses : ? days

from 4 bird houses to 20 bird houses, you multiply by 5.

this means you also have to multiply the days by 5

3*5=15

Jared will have to work for 15 days to make 20 bird houses.

Answer:

first and third from up to down

Step-by-step explanation:

you use a dashed line if the inequality does not have an equal so is just > or <

The volume of a cone is three times the volume of a cylinder with the same base and height.

Step-by-step explanation:

the volume of a cone is equal toone-third of the volume of a cylinderhaving the same base radius and height

Answer:

area = 88 mi²

Step-by-step explanation:

all vertical dimensions = 8/2 = 4 mi

area = (4 x 11.9) +(4 x 6.1) + (4 x 4) = 88 mi²

Answer:

y = 8x - 64

Step-by-step explanation:

Start with y = mx + b, the slope-intercept equation.  Replace m with 8, x with 7 and y with -8:

-8 = 8(7) + b, or

-8 - 56 + b, or

b = -64

Then the desired equation is

y = 8x - 64

Answer:

≈ 18.8 cm

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

The central angle is equal to the arc subtending it, that is 60°

  arc = 2πr × [tex]\frac{60}{360}[/tex]

        = 2π × 18 × [tex]\frac{1}{6}[/tex]

        = 36π × [tex]\frac{1}{6}[/tex]

        = 6π ≈ 18.8 cm ( to 1 dec. place )

Answer:

The number is - 9.

Step-by-step explanation:

(y ÷ 9) - 1 = - 2

(y ÷ 9) - 1 + 1 = - 2 + 1

y ÷ 9 = - 1

y ÷ 9 × 9 = - 1 × 9

y = - 9

Answer:

B

Step-by-step explanation:

Not much to explain

Answer:

no points are listed

Step-by-step explanation:

Answer:

8 x (5+1) = ( 8 x 5 ) + (8 x 1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan 45=1/1=1

Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle, the value of tan45 is 1.

The 45-45-90 triangle is also an isosceles triangle, which means its two legs are equal in length.

Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle.

The side lengths of a 45-45-90 triangle are in the ratio 1: 1: [tex]\sqrt{2}[/tex].

The value of tan45 is given by the following formula;

[tex]\rm Tan 45 = \dfrac{Perpendicular}{Base}\\\\Tan45=\dfrac{1}{1}\\\\Tan45=1[/tex]

Hence, the value of tan45 is 1.

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Answer:

10

Step-by-step explanation:

50 divided by 5 = 10 and the extra 2 are left out because we are finding how many groups of 5 we can get.

Answer:

B

Step-by-step explanation:

the volume formula is πr^2(h), so plug in the 4 and 9 you would get  452.16

Answer:

1/3

Step-by-step explanation:

You add the marbles up and you get 24, now divide by 8 and you get 3. Which is equal to a 1/3 chance of getting the green marble.

Answer:

y= 8/7x+ 37/7 for the equation that the line passes

Answer:

y+5=8/7(x+9)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

It was trick question because they all are opinionated, but the first one should be an easy yes or no question. However, if you do not like the president then you would say no because of bias. The rest are supposed to be "biased" because they are asking what you prefer.

"Should the President of the United States serve a six-year term?" is question is biased

Survey bias is a "systematic error introduced into sampling or testing by selecting or encouraging one outcome or answer over others." Due to this "encouragement" for a particular result, surveys may be biassed and only provide one type of consumer perspective.

For first, It presumes that the responder supports the idea that the President should hold office for a six-year term, which may not apply to all respondents.

However, out of bias, you would say "no" if you didn't like the president. The others are supposedly "biassed" since they inquire about your preferences.

Thus, the biased question is Should the President of the United States serve a six-year term?.

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Answer:

Your answer is [tex]\sqrt 221[/tex]

Step-by-step explanation:

[tex]10^2+11^2=c^2\\100+121=221\\c=\sqrt{221}[/tex]

Hope this helps!

Answer:

5

Step-by-step explanation:

There are 5 different segments.

Answer: C. 2 6/7

Hope that helped! :)

Answer:

4^8.

Step-by-step explanation:

4^6 ÷ 4^-2     when dividing we subtract exponents , so we have:

4^(6- (-2))

= 4^8.

Answer:

her loss of $194,050 because it decreasing every time i think.

Step-by-step explanation:

answer a first one

Answer:

+ or - 0.044

Step-by-step explanation:

The margin of error is 0.044.

A Margin of Error is defined as the results will vary from the actual population value by how many percentage points, as indicated by the margin of error.

The margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

To determine a margin of error for a sample proportion,

Where n is the sample size and is the sample proportion, these assumptions must be true.

n t ≥ 10

n(1 - t) ≥ 10

Write the proportion of lead to significant as a decimal number first,

42%

= 0.42

Now substitute the sample proportion and the sample size, 479, the assumptions are inserted into the equations to see if they are satisfied.

⇒(479X0.42) 201.18

⇒ (479)(1 − 0.42)

⇒  277.82

Both values are greater than 10, so the assumptions are satisfied, and the margin of error can be calculated.

Determine the margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

For a 95% confidence level, z = 1.96.

Substitute the values of z, n, and T into the formula for margin of error and evaluate.

[tex]ME = 1.96\sqrt{\dfrac{0.42(1 - (10.42)}{479} }[/tex]

ME ≈ 0.044

Hence, the margin of error is 0.044.

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Answer:

It is none of the above. The actual answer is 215

Step-by-step explanation:

8.6*50/2=215

Answer:

none of these

Step-by-step explanation:

on map 8.6 cm

scale 2cm: 50mi.

on reality if you divide the 8.5 cm into 2 cm portions and for each you have 50 mi. then you get the result

(8.6 /2)*50 = 215 mi.

Answer:

(-4,3)

Step-by-step explanation:

I used photo math

Answer:

46.1 in

Step-by-step explanation:

Given data

Width= 30in

Height= 35in

To find the diagonal, we have to use the Pythagoras theorem

z^2= x^2+y^2

z^2= 30^2+ 35^2

z^2= 900+1225

z^2= 2125

z= √2125

z= 46.09

Hence the diagonal of the TV is 46.1 in