WHAT IS THE MEDIAN pls help

The next model of a sports car will cost 4.7% less than the current model the current model cost 31000. How much will the price

natka813 [3]

Step-by-step explanation:

decrease value is 1353

value 31,647

7 0

2 years ago

At Jim's Juice Box Factory, his machine can fill 300 juice boxed an hour. Each juice box holds 0.8 cups. How many gallons of jui

12345 [234]

(300 box/h) * (0.8 cup/box) * (1 gal)/(16 cup) = 300*0.8/16 gal/h
.. = 15 gal/h

Jim's factory needs 15 gallons of juice per hour.

8 0

2 years ago

The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re

ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

$L=W+3$

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

$\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}$

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

$\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}$

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

6 0

8 months ago

A triangle has a height that is increasing at a rate of 2 cm/sec and its area is increasing at a rate of 4 cm2/sec. Find the rat

lesya [120]

Answer:

The value of rate of which the base is changing $\frac{dB}{dt}$ = - 3 $\frac{cm}{s}$

Step-by-step explanation:

Area = 20 $cm^{2}$

height = 4 cm

$\frac{dH}{dt} = 2 \frac{cm}{sec}$

$\frac{dA}{dt} =$ $2 \ \frac{cm^{2} }{sec}$

we know that area of the triangle is given by

$A= \frac{1}{2} B H$

$B = \frac{2A}{H}$

$B = \frac{2 (20)}{4}$

B = 10 cm

Rate of change of area is given by

$\frac{dA}{dT} = \frac{1}{2} [B\frac{dH}{dt} + H \frac{dB}{dt} ]$

4 = 0.5 [10 × 2 + 4 $\frac{dB}{dt}$ ]

$\frac{dB}{dt}$ = - 3 $\frac{cm}{s}$

This is the value of rate of which the base is changing.

7 0

2 years ago

Will give brainliest please help ASAP

Y_Kistochka [10]

The answer should be f(x)=20(2.5)^x

How?

the graph crosses the f(x) axis at 20 but that's common in all 4 equations. However, when x=1, f(x)=50. We have to know try all the equations by substituting these values in ( both sides are equal).

f(x)=20(2.5)^x
substitute f(x)=50, x=1
50=20(2.5)^1
50=20*2.5
50=50

8 0

2 years ago