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3 years ago

Bert is driving along a country road at a constant speed of 30 miles per hour. How long does it take for him to travel 50 miles?

1 answer:

6 0

30 miles/60 minutes = 50 miles/ x minutes
Cross multiply, and you have 3000 = 30x. x = 100 minutes, or 1 hour 40 minutes

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The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the

Nataly [62]

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2h$ , where,

r = Radius

h = Height.

We know that diameter is two times the radius, so radius of cone would be half the diameter that is $\frac{7}{2}$ cm.

$V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}$

$V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}$

$V=\frac{490\pi }{12}\text{ cm}^3$

$V=128.2817\text{ cm}^3$

Upon rounding to nearest tenth, we will get:

$V\approx 128.3\text{ cm}^3$

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

8 0

4 years ago

Which expression has a positive value?

mote1985 [20]

Answer: That would be A and C

A. = 26/3
B. = -20
C. = 1
D. = -3

Step-by-step explanation:

I hope it helps :)

$\frac{ - 4 + ( - 5)( - 6)}{3} \\ \frac{ - 4 + 30}{3} \\ \frac{26}{3} = 8 \frac{2}{3} = 8.67$

$8( \frac{10}{(2)( - 2)} ) \\ 8( \frac{10}{ - 4} ) \\ 8( - \frac{5}{ 2} ) = - 20 \\$

$3( \frac{ - 64}{8} ) + 25 \\ 3( - 8) + 25 \\ = - 24 + 25 \\ = 1$

$\frac{ - 2( - 5)( - 3)}{10} \\ \frac{ - 30}{10} \\ = - 3$

7 0

3 years ago

There are 4 different methods you could use to solve a quadratic equation that would depending upon the actual equation. They ar

lana66690 [7]

Answer:

Part A: x^2 + 6x + 8 = 0 use the factoring the equation method

Part A: x^2 + 6x + 8 = 0 use the quadratic formula

Step-by-step explanation:

Part A;

The equation is x^2 + 6x + 8 = 0 , looking at this quadratic expression, you notice it is written in a quadratic equation standard form of ax^2+bx+c=0. Additionally, you notice that can find what multiplied to get the quadratic equation,factor.You can identify two numbers that multiply to get ac and add to give b.In this question;

a=1,b=6,c=8

ac=8

The numbers are 4 and 2. Factoring the equation method will give;

x²+6x+8=0

x²+4x+2x+8=0

x(x+4)+2(x+4)=0

(x+2)+(x+4)=x²+6x+8

x+2=0, x=-2 and x+4=0, x=-4

Part B

The quadratic equation is ;

x²+6x-11=0

You notice that there are no factors that multiply direct to get the quadratic equation like in part 1. When you observe, a=1, b=6 and c=-11

ac=1×-11=-11 and b=6 .You notice there are no factors that multiply to give -11 and add to get 6, hence the factorizing the equation method can not be used.However, you can apply the quadratic formula that requires coefficients. You have a=1, b=c and c=-11 as the coefficients to use in the quadratic formula.

8 0

3 years ago

Read 2 more answers

The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. The area of the

Elodia [21]

Area=height times base (for some prisms including cylinders)
vcylinder=hpir²
h=height
therefor pir²=base area
vcylinder=height times aeraofbase

given
h=9
v=324pi
324pi=9(basearea)
divide both sides by 9
36pi=areabase

the area of the base is 36pi square cm (put 36 in the blank since the pi is already there)

8 0

3 years ago

Read 2 more answers

0.0000575 n scientific notation

Mrac [35]

5.75 * 10 ^-5

Hope this helps

3 0

3 years ago