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2 years ago

A car travels 20 1/2 miles in 2/3 of an hour. What is the average speed, in miles per hour, of thr car?

Mathematics

1 answer:

zmey [24]2 years ago

3 0

Answer:

27.33333... mph

Step-by-step explanation:

Find 1/3 of 20 1/2: 1/3*41/2=41/6

That equals 6.83333...

Now add 20 1/2 and 6.83333 = 27.3333...

Therefore, 27.33333... mph

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By what percent will a fraction decrease if its numerator is increased by 20% and its denominator is increased by 50%?

Angelina_Jolie [31]

Answer:

20%

Step-by-step explanation:

With those changes, the fraction is multiplied by ...

$\dfrac{1+.20}{1+.50}=1-\dfrac{.30}{1.50}=1-0.20$

That is, the value of the fraction is decreased by 20%.

5 0

3 years ago

Read 2 more answers

Dan and Luke are running in a 20 mile charity benefit wrist if Dan runs at 3 miles per hour and Luke runs at 4 miles per hour ho

Nimfa-mama [501]

Answer:luck 5 and dan 6.67

Step-by-step explanation:

8 0

3 years ago

The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?

daser333 [38]

Answer:

$d=\frac{3}{2}=1.5$

Step-by-step explanation:

We have the function:

$y=a(x-2)(x-1)$

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are (x-2) and (x-1).

Therefore, our roots/zeros are x=1, 2.

So, the average of them are:

$d=\frac{1+2}{2}=3/2=1.5$

Therefore, regardless of the value of a, the minimum/maximum value will occur at x=d=1.5.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

$y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a$

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

$x=-\frac{b}{2a}$

So, we will substitute -3a for b and a for a. This yields:

$x=-\frac{-3a}{2a}=\frac{3}{2}=1.5$

Confirming our answer.

4 0

2 years ago

If n erasers have a weight of 80 grams, what is the total weight of 50 erasers?

Black_prince [1.1K]

Answer:

$The\ weight\ of\ the\ 50\ erasers\ be\ \frac{4000}{n}\ grams.$

Step-by-step explanation:

As given

if n erasers have a weight of 80 grams .

I.e

n erasera = 80 grams.

1 erasers weight .

$1\ erasers\ weight = \frac{80}{n}$

Now find out the weight of the 50 erasers.

$Weight\ of\ 50\ erasers = \frac{50\times 80}{n}\ grams$

Simplify the above

$Weight\ of\ 50\ erasers = \frac{4000}{n}\ grams$

$Therefore\ the\ weight\ of\ the\ 50\ erasers\ be\ \frac{4000}{n}\ grams.$

6 0

3 years ago

Read 2 more answers

11th grade geometry:

Aliun [14]

Answer:

The perimeter is 72 units and the area is 149 square units.

Step-by-step explanation:

$\triangle SBA$ has coordinates $S(15,-8),B(-2,21)$ and $A(0,0)$

Using the distance formula.........

Length of side $SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}$

Length of side $BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}$

Length of side $AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17$

So, the perimeter of the triangle will be: $(SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72$ units. (Rounded to the nearest unit)

The height of the triangle for the corresponding base $SB$ is 8.89 units.

Formula for the Area of triangle, $A= \frac{1}{2}(base\times height)$

So, the area of the $\triangle SBA$ will be: $\frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149$ square units. (Rounded to the nearest unit)

3 0

3 years ago