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3 years ago

Simplify -24/(-3)X(-4)

Mathematics

1 answer:

beks73 [17]3 years ago

5 0

Answer:

- 2

Step-by-step explanation:

$\frac{-24}{(-3)(-4)}$ = $\frac{-24}{12}$ = - 2

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Joel can run around a 14– mi track in 81 sec, and Jason can run around the track in 69 sec. If the runners start at the same poi

Alenkasestr [34]

Answer:37.2 sec

Step-by-step explanation:

Given

Joel takes 81 sec for 14 mile long track

speed of joel $\frac{14}{1.35}$ mi/min=10.37 mi/min

Jason takes 69 sec for 14 mi track

so jason speed is $\frac{14}{1.15} mi/min=12.17 mi/min$

if both starts from same spot in opposite direction then

$\frac{x}{10.37}=\frac{14-x}{12.17}$

where x is distance covered by Joel

then x=6.44 miles

therefore time required

$t=\frac{6.44}{10.37}=0.621 min\approx 37.2 sec$

8 0

4 years ago

Zula has a conical bird feeder with a volume of 64.3 cubic centimeters and a height of 7 centimeters. Which equation can be used

diamong [38]

Answer: $64.3=\frac{1}{3}(B)(7)$

Step-by-step explanation:

$V=\frac{1}{3} Bh$

B is the area of the base

h is the height of the cone

$V=64.3 cm^3$

$h=7cm$

$64.3=\frac{1}{3}(B)(7)$

$192.9=(B)(7)$

$B=192.9/(7)$

$=27.56cm^2$

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4 years ago

Write the place of the underline digit. 6_71,248,101

saveliy_v [14]

Assuming the 6 is the underlined digit, it is in the "hundred millions" place. Its place value there is 600,000,000. That's six hundred million.

If 7 is the underlined digit, it is in the "ten millions" place. Its place value there is 70,000,000. That's seventy million.

_____

The place value of a digit is revealed by setting all the other digits to zero.

6 0

3 years ago

A ball is thrown from an initial height of 7 feet with an initial upward velocity of 24 fts. The ball's height h (in feet) after

Montano1993 [528]

Answer:

The ball's height is 11 feet at t = 0.19s and t = 1.31s

Step-by-step explanation:

The ball's height h (in feet) after seconds is given by the following function:

$h(t) = 7 + 24t - 16t^{2}$

Find all values of t for which the ball's height is 11 feet.

This is t when $h(t) = 11$ .

We will need to solve a quadratic equation for this.

Solving a quadratic equation

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this problem:

$h(t) = 11$

$7 + 24t - 16t^{2} = 11$

$16t^{2} - 24t + 4 = 0$

Simplifying by 4

$4t^{2} - 6t + 1 = 0$

So $a = 4, b = -6, c = 1$

$\bigtriangleup = (-6)^{2} - 4*(4)*1 = 20$

$x_{1} = \frac{-(-6) + \sqrt{20}}{2*4} = 1.31$

$x_{2} = \frac{-(-6) - \sqrt{20}}{2*4} = 0.19$

The ball's height is 11 feet at t = 0.19s and t = 1.31s

7 0

3 years ago

The perimeter of a rectangle is 20 feet. of all possible dimensions, the maximum area is 25 square feet when its length and widt

Firlakuza [10]

You will get a very small area if you increase the length until it is just short of 10 feet
But when it is 10 feet you no longer have a rectangle! Just a straight line with area zero! So there is no real minimum area.

So there is no real minimum value

5 0

3 years ago

Simplify -24/(-3)X(-4)​

Simplify -24/(-3)X(-4)