In the year 2000, the average car had a fuel economy of 22.6 MPG. You are curious as to whether the average in the present day is less than the historical value. What are the appropriate hypotheses for this test

Answer:

A. 15.5 yards

Step-by-step explanation:

3.1 ×5=15.5

Answer:

17 1/7 I think

Step-by-step explanation:

x=17.1

Step-by-step explanation:

[tex] \frac{x}{30} + \frac{x}{40} = 1 \\ \frac{3x + 4x}{120} = 1 \\ \frac{7x}{120} = 1 \\ \frac{7x}{120} = 1 \\ 7x = 120 \\ x = \frac{120}{7} \\ x =17.1 [/tex]

Answer:

b. x^4 varies directly as y.

Step-by-step explanation:

x^4 = 7×y

x^4 is proportional to y.

Answer:

A. -1/6

Step-by-step explanation:

The product of 7/8 and -4/21 is a.- 1/6.

In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.

Now the given numbers are,

7/8 and -4/21

now taking 7/8 and since 8= 4*2

so, 7/8 = 7/(4*2)

Again taking -4/28 and since 28 = 7*4

so, -4/21 = -4/(7*3)

hence the product of 7/8 and -4/21 is given as,

7/8*(-4/21) = 7/(4*2) x -4/(7*3)

taking alike terms together we get,

7/8*(-4/28) = (7/7)(4/4)(-1/2*3)

⇒ 7/8*(-4/28) = -1/6

Hence the correct option is a.-1/6

Therefore,The product of 7/8 and -4/21 is a.- 1/6.

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Answer:

x = 6 , y = 7

Step-by-step explanation:

solving  by substitution method

x + y = 13

x = 13 - y                          equation (i)

2x - y = 5

substitute the value of x

2(13 - y) - y = 5

26 - 2y - y = 5

26 - 3y = 5

26 - 5 = 3y

21/3 = y

7 = y

substitute the value of y in equation (i)

x = 13 - y

x = 13 - 7

x = 6

Answer:

To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.

15 mins x 60 seconds = 900 seconds.

Step-by-step explanation:

In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.

112.5 x 108 = 12150 feet

12150 feet/5280 feet is approximately 2.3 miles.

For your friend you take 900/6 = 150 groups of 6 seconds.

150 x 63 = 9540 feet

9540 feet/5280 feet = 1.79 miles

1.79 miles + 2.3 miles = 2.09 miles

You and your friend are about 2.09 miles apart after 15 minutes.

B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more

3.07 + 2.3 = 5.37 miles after 40 minutes (you).

Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes

0.6 x 5 (5 x 5 = 25 minutes)= 3 miles

1.79 + 3 miles= 4.79 miles (friend)

4.79 + 5.37 = 10.16 miles

You and your friend are about 10.16 miles apart after 40 minutes.

Step-by-step explanation:

Are you using a particular calculator for the class? For this class, is the payment expected to be compounded monthly?

There is a function in Microsoft Excel that will calculate the payment for you, but the answer is going to be slightly different for a business math class than a calculus-based statistics class.

The excel formula to calculate a payment is

=PMT(0.04/12,60,25000,0)

.04/12 is the interest APR on a monthly basis

60 is the number of months

25000 is the current amount owed

0 is the future balance after 60 payments

The answer from Excel is $460.41 -- ignore the negative sign for these purposes.

Multiply that number by the 60 months you pay and you get a total paid of $27,624.78

Remove the initial 25K and $2,624.78 is your interest amount.

By the way, I used the simplifying assumptions that the problem meant "interest rate" when it said "APR", and that the rate would compound monthly. In the actual loan industry, the interest rate is only part of the calculation for APR, a

146.08

Step-by-step explanation:

Let's start by figuring out the payment

effective rate: .035/12= .002916667

\begin{gathered}2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71\end{gathered}

2000=x

.002916667

1−(1+.002916667)

−48

x=44.71

then it's just

44.71*48-2000=146.08

Answer:

146.08

Step-by-step explanation:

Let's start by figuring out the payment

effective rate: .035/12= .002916667

[tex]2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71[/tex]

then it's just

44.71*48-2000=146.08

Answer:

30ml of yellow

18ml of red

Step-by-step explanation:

5x6=30

3×6=18

Answer:

Step-by-step explanation:

a color

Answer:

AC = 28

Step-by-step explanation:

Ok, we know that:

Points A, B, and C are collinear.

Point B is between A and C.

We want to find the length AC (distance between A and C), if we know that:

AB = 16

BC = 12

Ok, knowing that B is between the other points, we know that:

AB + BC

defines the total length of the segment that connects the 3 points.

Thus, if we define this segment as a length, we only use the endpoints, A and C.

Then we have that:

AB + BC = AC

now we can solve this:

16 + 12 = AC

28 = AC

Answer:

x = 50 + 95 = 145

.........

Answer:

x = 145°

Step-by-step explanation:

Given,

Measure of the first angle = 50°

Measure of the second angle = 95°

We know,

Sum of 3 angles of a triangle is equals to 180°

∴ The third angle = 180° - (50+95)°

                             = 180° - 145°

                             = 35°

Again,

Straight angle = 180°

∴ x = 180° - 35°

      = 145°

∴x = 145°

9514 1404 393

Answer:

  positive

Step-by-step explanation:

When considering the slope of a line, we usually choose "rise" and "run" so that "run" is positive, and "rise" measures the vertical change as one moves from left to right.

If we assume that "downhill" lines refers to lines that go from upper left to lower right (downhill to the right), then the rise is negative while the run is positive.

__

Additional comment

Here, we assume a line is considered to be "downhill" if it has negative slope. In the real world, "downhill" is the direction the ball rolls under the influence of gravity. That direction might be behind you, or to your left, instead of in front of you or to the right.

Definitions are important in math. "Downhill" is not a term that is widely used to describe lines, so we have to guess the intended meaning here.

Answer:

600 nickels

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

3 yards equal 9 feet and 1 foot equals 12 inches so that means do 12 x 9 and you get 108

The correct option is A.

Feet ÷ 3 = 1 yards. yard is 3 feet long, so all you have to do is divide the number of feet by 3 to get the number of yards for your measurement

We know that,

1 feet is equal to 12 inches.

1 feet = 12 inches.

1 yard = 36 inches.

3 yards = 36 × 3 = 108 inches.

3 yards = 108 inches.

Therefore, 108 inches are there in 3 yards.

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Answer and Step-by-step explanation:

To figure out, we plug in the x-value into the equation and see if it is equal to the y-value.

y = 3(2) - 5

y = 6 - 5

y = 1

5 ≠ 1

The point (2, 5) is not a solution.

#teamtrees #PAW (Plant And Water)

Answer:

6

Step-by-step explanation:

KL = 26-(11+9) = 26-20 =6

Answer:

KL is 6

Step-by-step explanation:

IL is 26, IJ = 9 JK= 11

IL= IJ + JK + KL

26= 9 + 11 + KL

Rearrange

KL= 9 + 11 - 26

    = 6

Answer:

Step-by-step explanation:

Answer:

The solution set to the absolute value is:

[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]

Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].

Step-by-step explanation:

From Mathematics, we know that absolute values are defined by the following characteristics:

1) For [tex]x \ge 0[/tex], [tex]|x| = x[/tex]

2) For [tex]x < 0[/tex], [tex]|x| = - x[/tex]

Then, if [tex]|x| = x[/tex], then the solution set to the absolute value is:

[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]

Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].

Answer:

7(y intercept)

Step-by-step explanation:

y = mx +c form

y = 21-7x/3

c = 21/3 = 7(y intercept)

x i have no idea

To find x-intercept ,put y= 0 in the given eqn

So, 7x+3(0) = 21

=> 7x =21

=> x= 21/7 = 3

x-intercept = 3

Similarly, to find y-intercept put x=0 in the given eqn

So ,7(0)+3y=21

=> 3y=21

=> y= 21/3 = 7

y-intercept = 7

Answer:

3x−6x+11−(10x−4x+6)

=5x10−10x7+3x5

         x10

=5x5−10x2+3

      x5

Step-by-step explanation:

i hope this helps and i hope you understand this, sorry if you dont understand

Answer:

50°C

Step-by-step explanation:

(122°F − 32) × 5/9 = 50°C

Answer:

(x-4)^2 + (y-4)^2 = 49

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-4)^2 + (y-4)^2 = 7^2

(x-4)^2 + (y-4)^2 = 49

Answer:

Simple interest

Step-by-step explanation:

Because its a period of 8 years

Answer:

(x , y ) = (39/22 , -2/11 )

.............

Answer:

-2,3 3,-7

Step-by-step explanation:

took test :)

Answer:

The area of a given rectangle is 216 square inches.

Given that, the perimeter of the rectangle is 84 inches.

We need to find the area of a rectangle.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the width of a rectangle be x.

Given, that the length of a rectangle is six times its width. So, length=6x.

Now, 84=2(6x+x)

⇒14x=84

⇒x=6 inches

Then, length=6x=36 inches.

Area of a rectangle= Length×width=36×6=216 square inches

Therefore, the area of a given rectangle is 216 square inches.

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Answer:

5000

Step-by-step explanation:

but this depends upon how much room each person needs

X = -1

This is because when you multiply 2 to the -1 power, it is negative because a positive times a negative is always negative. And 1/2 by the same -1 is -1/2

Answer:

option c is the answer for pic

and for question the answer is

(-274)*(437)

-119738

Answer:

the first one

Step-by-step explanation: