The average cost of gas in 2015 was $3.40. The average cost of gas in 2018 was $2.35. What is the percent decrease in the cost?

a. ΔABE: is a Right Angled Triangle (Has angle 90°)

b. ΔBEC: is an Isoceles Triangle (Has two sides equal)

c. ΔDEF: is an Equilateral Triangle (Has all sides equal)

d. ΔCDF: is a Scalene Triangle (Has no sides equal)

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

Triangles can be classified based on the length of the sides or their angle measurements.

The types of triangles based on the length of the sides are –

ΔABE: Right Angled Triangle (Has angle 90°)

ΔBEC: Isoceles Triangle (Has two sides equal)

ΔDEF: Equilateral Triangle (Has all sides equal)

ΔCDF: Scalene Triangle (Has no sides equal)

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Step-by-step explanation:

take as if this points are on a line segment AB

Dab = square root of ( xa - xb) ^2 + ( y a- yb) ^2

= square root of [ (-6) - (-5) ]^2 + [ (-4) - (-4) ]^2

= square root of (-1)^2 + (0)^2

= square root of 1 + 0

= square root of 1

= 1 units

The distance from AB is 1 unit

Answer:

$880, $990 & debit card

Step-by-step explanation:

Credit:

-920 + 1800

$880

Debit:

$990

the debit card

The approximate area under the standard normal curve that lies outside the interval between z = -1.11 and z = 3.21 is approximately 0.1342 or 13.42%.

To find the area under the standard normal curve that lies outside the interval between z = -1.11 and z = 3.21, we need to calculate the area outside the interval and subtract it from the total area under the curve.

The total area under the standard normal curve is 1 since it represents the entire distribution.

To find the area within the interval, we can calculate the cumulative probability up to z = -1.11 and subtract it from the cumulative probability up to z = 3.21.

Using a standard normal distribution table or a statistical calculator, we can find these cumulative probabilities:

P(Z ≤ -1.11) ≈ 0.1335

P(Z ≤ 3.21) ≈ 0.9993

To find the area outside the interval, we subtract the cumulative probabilities within the interval from 1:

Area outside interval = 1 - (P(Z ≤ 3.21) - P(Z ≤ -1.11))

Area outside interval ≈ 1 - (0.9993 - 0.1335)

Area outside interval ≈ 1 - 0.8658

Area outside interval ≈ 0.1342

Therefore, the approximate area under the standard normal curve that lies outside the interval between z = -1.11 and z = 3.21 is approximately 0.1342 or 13.42%.

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Answer:

20 degrees

Step-by-step explanation:

Y is 90 degrees.

lets find the measure of the other angle, 180-110 is 70.

using this info let’s find X.

180-(70+90)

180-160

20

Answer:

b. <

Step-by-step explanation:

2,369 is less than 25,500

23x103=2369

250x102=25500

Answer:

The answer is 3 . Hope you like answer.

Answer:

Step-by-step explanation:

Ok: So A is similar to B put different ratios

1. Look at sides

A has one side 12cm while B has the same side 9 cm

9:12 is the ratio or 9/12= 3/4

Sides B is 3/4 of A

2. Caculate

W= 3/4*7=

w=21/4cm

or

w= 5 1/4 cm

In the given argument, "No swimmers fear water. Some bathers are swimmers.

Therefore, some bathers do not fear water," it is a deductive argument.

A deductive argument is an argument in which the premises provide complete and conclusive support for the conclusion. This means that if the premises are true, then the conclusion must also be true.

In this argument, the first premise is "No swimmers fear water," which is a universal negative statement. The second premise is "Some bathers are swimmers," which is a particular affirmative statement.

The conclusion "Therefore, some bathers do not fear water" follows logically from the two premises, and is a particular negative statement.

Therefore, it is a deductive argument.

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Answer:

What am i supposed to be looking at

Step-by-step explanation:

Answer:

Final Price Including Tax ($):  

129

Sale Tax($):  

9

Step-by-step explanation:

Hope this helps? :))

Final Price Including Tax ($):  129

Sale Tax($): 9

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that, 7% tax on $120 purchase.​

i.e. tax = 120* 7%

           = 8.4 = 9

so. Final Price Including Tax ($):  

=120 +9

=129

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Answer:7 i think im not sure

Step-by-step explanation:

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Answer:

22.9%

Step-by-step explanation:

The total at the bottom is 22.9%

Hey there!

\(Answer:\boxed{\text{4 rows and 3 columns}}\)

\(Explanation:\)

A matrix has 4 rows and 3 columns. 4 rows means it has 4 system of equations and 3 columns means 3 variables in the system of equations. 3 columns means like x, y, z.

Hope this helps!

Answer:

3

Step-by-step explanation: e3

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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Answer:

3:4

Step-by-step explanation:

We know this because the GCD of 21 and 28 is 7

so we divide both numbers by 7 and get 3 and 4

so the answer is 3:4

Using simultaneous equations,  Han Fei will be 56.06 kilometers from San Francisco when Mohammed meets her in his car.

Let's start by converting Mohammed's speed from miles per hour to kilometers per hour, since Han Fei's speed is given in kilometers per hour.

40 miles per hour is equal to approximately 64.37 kilometers per hour (1 mile = 1.609 kilometers).

Now let's set up some variables to represent the distance that Han Fei travels and the time that both Han Fei and Mohammed travel before they meet. Let d be the distance from San Francisco that Han Fei travels before meeting Mohammed, and t be the time they both travel before meeting.

We can set up two equations based on the information given:

d + 240 - 20t = 64.37t (Han Fei travels d distance before meeting Mohammed, and Mohammed travels 240 - d distance before meeting Han Fei)

d = 84.37t - 240

To solve for t, we can substitute the second equation into the first equation:

84.37t - 240 + 240 - 20t = 64.37t

64.37t = 240

t = 3.73 hours

Now we can use either equation to solve for d:

d = 84.37t - 240

d = 84.37(3.73) - 240

d = 56.06 kilometers

So Han Fei will be 56.06 kilometers from San Francisco when Mohammed meets her in his car.

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To find the last corner of the rectangle, we can use the fact that opposite corners of a rectangle have equal distances. Let's consider points A and B. The last corner of the rectangle is D = (-7, 11, 47).

The vector AB can be found by subtracting the coordinates of A from the coordinates of B:

AB = B - A = (3, 1, -3) - (-2, 6, -5) = (3 + 2, 1 - 6, -3 + 5) = (5, -5, 2)

Now, let's find the coordinates of the last corner, which we'll denote as D. Since D is opposite to point C, the vector CD will have the same direction as AB. Therefore, we can obtain D by adding the vector AB to the coordinates of C:

D = C + AB = (-12, 16, 45) + (5, -5, 2) = (-7, 11, 47)

So, the last corner of the rectangle is D = (-7, 11, 47).

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Answer:

The first pair.

Step-by-step explanation:

3 corresponding parts must be congruent for two triangles to be congruent. The first pair has 3 congruence markings; two angles and one side are congruent. Additionally, they are congruent by the ASA postulate because two angles and the included side are congruent.

Answer:

The answer is 2

Step-by-step explanation:

2x3=6 +1 =7

Answer:

answer is : 2

Step-by-step explanation:

2x3=6+1=7

Answer:

y < -2x - 2

Step-by-step explanation:

y=mx+b

slope (m) = Δy/Δx = -2

b = -2

y < -2x - 2

The value of I, given I_ax = 3 and I_ay = √22491, is approximately 150.001.

To find I, we can use the equation I = √(I_ax^2 + I_ay^2), where I_ax represents the x-component of the moment of inertia and I_ay represents the y-component of the moment of inertia. In this case, we are given I_ax = 3.

Using the Pythagorean theorem, we can determine I_ay. Considering a right triangle, I_ax represents the length of one side, and I_ay represents the length of the other side. The hypotenuse of the triangle, which corresponds to I, can be found by taking the square root of the sum of the squares of the other two sides.

Since we have I_ax = 3 and we need to find I, we can write the equation as follows:

I = √(3^2 + I_ay^2)

Simplifying:

I = √(9 + I_ay^2)

To find I_ay, we can solve for it using the given equation:

I_ax^2 + I_ay^2 = 150^2

Substituting the value of I_ax and rearranging the equation:

3^2 + I_ay^2 = 150^2

9 + I_ay^2 = 22500

I_ay^2 = 22500 - 9

I_ay^2 = 22491

Taking the square root of both sides:

I_ay = √22491

Now we can substitute this value back into the original equation for I:

I = √(9 + I_ay^2)

I = √(9 + 22491)

Calculating this expression, we find:

I ≈ 150.001

Therefore, the value of I, given I_ax = 3 and I_ay = √22491, is approximately 150.001.

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The price we have to pay for the disc after 10% discount is 1467 dollars.

Percentage is the value per hundredth.

According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.

10% of 1630 dollars will be

= (10/100) × 1630 dollars.

= 16300/100 dollars.

= 163 dollars.

So, the price we have to pay for the disc after 10% discount is

= (Total amount - Discount amount)

= ( 1630 - 163 ) dollars.

= 1467 dollars.

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Answer

402 meters ÷ 18 seconds

Step-by-step explanation:

Answer:

402 meters ÷ 18 seconds

Step-by-step explanation:

While doing this sorta math to find the speed it will always be how long  ÷  by how long or time!

The probability that Jill and Ramona will be paired together is given as follows:

1/4.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of pairs for this problem is given as follows:

2² = 4.

Jill and Ramona form one pair, hence the probability is given as follows:

p = 1/4.

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The expected claim size is 950 and the variance is 125000/9.

The probability that a claim is no greater than 500 is 0.8, which means the probability of a claim being greater than 500 is 0.2. The claim sizes are uniformly distributed on (0; 500] and on (500; 1500].

Therefore, the probability of a claim being in the range of (0; 500] is 0.8/2 = 0.4 and the probability of a claim being in the range of (500; 1500] is 0.2/2 = 0.1.

The expected claim size is calculated as the weighted average of the claim sizes in each range, where the weight is the probability of a claim being in that range. Thus, the expected claim size is (0.4 x 250 + 0.1 x 1000) = 950.

The variance of the claim size is calculated as the weighted average of the squared deviations from the expected claim size, where the weight is the probability of a claim being in that range. Thus, the variance is (0.4 x (250 - 950)^2 + 0.1 x (1000 - 950)^2) = 125000/9.

Therefore, the expected claim size is 950 and the variance is 125000/9.

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The plan with the smallest one-time membership fee is Plan D.

The point-slope formula will be used to determine the equation that models the cost of each plans.

(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)

where (x₁, y₁) is the coordinates of point 1

(x₂, y₂) is the coordinates of point 2.

For the equation y = mx + b,

let x = number of discs rented

y = total cost

m = rental rate per disc

b = one-time membership fee

Plan A

(y - 14) = [(17 - 14)/(2 - 1)](x - 1)

y - 14 = 3x - 3

y = 3x + 11

Plan B

(y - 12) = [(16 - 12)/(2 - 1)](x - 1)

y - 12 = 4x - 4

y = 4x + 8

Plan C

(y - 10) = [(15 - 10)/(2 - 1)](x - 1)

y - 10 = 5x - 5

y = 5x + 5

Plan D

(y - 12) = [(21 - 12)/(2 - 1)](x - 1)

y - 12 = 9x - 9

y = 9x + 3

Hence, the plan with the smallest one-time membership fee, b, is Plan D.

Your question is incomplete, but most probably you are asking

"...Which plan has the smallest one-time membership fee?"

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The length of the long diagonal of the cube is 3sqrt(3) inches.

Let's denote the length of one side of the cube as "a". Then the cube has a volume of a^3, a surface area of 6a^2 (since a cube has 6 faces with side length a), and a total edge length of 12a (since each face has 4 edges of length a).

Using the given equation, we can write

a^3 + 3(12a) = 2(6a^2)

Simplifying this equation, we get

a^3 + 36a = 12a^2

a^3 - 12a^2 + 36a = 0

a(a^2 - 12a + 36) = 0

a(a - 6)^2 = 0

The only positive solution for "a" is a = 6 (since a cannot be zero or negative). Therefore, the cube has a side length of 6 inches.

To find the length of the long diagonal of the cube, we can use the Pythagorean theorem. The long diagonal passes through the center of the cube and connects two opposite corners. The distance from the center to a corner is half the length of the long diagonal. Let's call this distance "d".

Using the Pythagorean theorem, we can write

d^2 = (6/2)^2 + (6/2)^2 + (6/2)^2

d^2 = 3(6^2)/4

d = (sqrt(3)×6)/2

d = 3sqrt(3) inches

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Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1)  and draw a straight line through them.

Step-by-step explanation:

The equation  y= 5-x  can be rewrite as  y = -1x + 5  and it can be identify as a linear equation in slope intercept form. Now you could plot in any value  of x and solve for y.

x        y         (x,y)

0       5          (0,5)   If you put in 0 for x y will be 5

1       4            (1,4)    if you put in 1 for x,  y will be 4

2      3            (2,3)  if you put in 2 for x, y will be 3

4       1             (4,1)   if you put in 4 for x, y will be  1

5       0             (5,0)  if you put in 5 for x y will be 0.

Answer:

Step-by-step explanation:

Step one:

given data

price of computer= $1500

sales tax= 8.5%

Step two

Let us compute the amount in tax

tax= 8.5/100*1500

=0.085*1500

=$127.5

Let the total cost be t

hence

t=1500+0.085*1500

t=1500+127.5

t=$1627.5