All categories

4 years ago

One of the largest pumpkins ever grown weighed about 3 over 4 ton. How many pounds did the pumpkin weigh???

2 answers:

6 0

Since a ton is 2000 pounds, 2000/4=500. 500*3=1500 The pumpkin weighs 1,500 pounds.

You can also just do 2000*3/4=6000/4=1,500

Nitella [24]4 years ago

5 0

Answer:1500 pounds

Step-by-step explanation:

Formula:

multiply the mass value by 2000

3/4 * 2000= 1500pounds

You might be interested in

Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

3 years ago

When using the binomial formula, which of the following is a correct step in the expansion of (x+y)^4 ?

avanturin [10]

Here is the expansion of (x + y)n for n = 0, 1,…, 5 :

(x + y)0 = 1
(x + y)1 = x + y 
(x + y)2 = x 2 +2xy + y 2 
(x + y)3 = x 3 +3x 2 y + 3xy 2 + y 3 
(x + y)4 = x 4 +4x 3 y + 6x 2 y 2 +4xy 3 + y 4 
(x + y)5 = x 5 +5x 4 y + 10x 3 y 2 +10x 2 y 3 +5xy 4 + y 5

hopefuly this helps you understand

7 0

4 years ago

Use the distributive property to write an expression equivalent to 15(5+n)

Ratling [72]

The answer is i beleve 75+15n

8 0

3 years ago

Factor Completely: 3x2 + 9x - 30

enyata [817]

Answer:

3(x-2)(x+5)

Step-by-step explanation:

1. Factor out common term 3

3(x^2 +3x-10)

2. Factor (x^2 +3x-10)

3(x-2)(x+5)

8 0

4 years ago

Find the area of the segment (unshaded area) of Circle G with radius 4in. Round to the nearest tenth.

Romashka [77]

Angle is 90°

The sector is 1/4 th of circle

Area of sector

πr²/4
π(4)²/4
4πin²

Triangle is right angled

Area

1/2(4)²
16/2
8in²

Area of unshaded region

4π-8
4(π-2)
4(3.14-2)
4(1.14)
4.56in²

4 0

2 years ago

Read 2 more answers