marvin has a chain that is 3 5/12 feet long . he uses 2 1/3 feet of the chain , how much chain is left

Answers

Answer 1

Answer: In order to calculate left chain, you need to subtract that as follows:
Left chain = 3 5/12 - 2 1/3
L.C. = 41/12 - 7/3
L.C.= 41-28 / 12
L.C. = 13/12

In short, Your Answer would be 13/12 feet or 1 1/12 feet

Hope this helps!

Answer 2

Answer: the answer is 1 1/12, to do that. make 1/3 into 4/12 and subtract 5/12 - 2 4/12= 1 1/12, Hope this helps :)

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Solve the following system of equations graphically on the set of axes below. y=2x−5. 3x+4y=24

Answers

Answer:

all work is shown and pictured

Cathy has 10 feet of ribbon that she wants to use to make bows. She needs 2/3 foot of ribbon for each bow. She also needs to use 16 inches of the ribbon for another project. How many bows will she able to make with the amount of ribbon that is left?

Answers

13 bows is the correct answer because:

10 feet=120 inches
2/3 foot= 8 inches
so 120-16 is 104 and that divided by 8 is 13.

Answer:

Step-by-step explanation:

What are the real and complex solutions of the polynomial equation? x^3-8=0. with imaginary numbers

Answers

Answer: The solutions are : $2, -1 + √(3)i , -1 - √(3)i$

Our equation is $x^(3) - 8 = 0$

and we know that: $8 = 2^(3)$

then we can write our equation as: $x^(3) - 2^(3) = 0$

And using the identity: $a^(3) - b^(3) = (a-b)*(a^(2) +ab+ b^(2) )$

where a = x and b = 2, then our equation is:

$x^(3) - 2^(3) = (x-2)*(x^(2) +2x+ 2^(2) )= 0$

them, if x = 2 the first part is zero, so x = 2 is a solution, and now we need to see the second part in order to find the complex solutions.

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

Here we need to use Bhaskara:

if $ax^(2)+ bx + c=0$ for a, b and c constants, then:

x = $\frac{-b +-\sqrt{b^(2) - 4ac } }{2a}$

in our problem we have:

$x = (-2 +-√(4 - 16) )/(2) = -1 +-\sqrt{(4 - 16)/(4) } = -1 +- √(-3) = -1 +-√(3) i$

So here we have two complex solutions: $x = -1 + √(3)i$ and $x = -1 - √(3) i$ .

Answer:

Solutions are 2, -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i

or 2, -1 + 1.58 i and -1 - 1.58i

(where the last 2 are equal to nearest hundredth).

Step-by-step explanation:

The real solution is x = 2:-

x^3 - 8 = 0

x^3 = 8

x = cube root of 8 = 2

Note that a cubic equation must have a total of 3 roots ( real and complex in this case). We can find the 2 complex roots by using the following identity:-

a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Here a = x and b = 2 so we have

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

To find the complex roots we solve x^2 + 2x + 4 = 0:-

Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2

= -1 +/- (sqrt( -10)) / 2

= -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i

-2/3m=-12 solve please

Answers

3*( $-(2)/(3m)$ )=(-12)*3
$-(2)/(m)$ =-36
- ( $(2)/(m)$ ):(-2)=(-36):(-2)
$(1)/(m)$ =18
m= $(1)/(18)$

-2/3m=-12
-2/3mx-3/2=-12x-3/2
m=36/2
m=18

1. As part of a survey, 50 students were asked about their favorite lunch item. The results are shown in the table below .The cafeteria manager knows that about 300 students buy lunch from the cafeteria each day. Based on the table, she predicts that 60 students will buy pizza each day.Which statement about her prediction is true?A. Her prediction is invalid because 1/5 of 50 is 10.
B. Her prediction is invalid because of 300 is 75.15
C. Her prediction is valid because 120% of 50 is 60.
D. Her prediction is valid because 20% of 300 is 60.2.

The money in Juan's savings account earns 1% interest. Which value is less than 1%%?
A. 5/4
C. 1/80
B. 0.125
D. 0.0114

Answers

1.
A. This statement is wrong because the prediction is valid, not valid.
B. Refer to A.
C.This statement is valid, yet explains the prediction incorrectly.
[D.] This statement is correct because 50 x 6 = 300, therefore 20% of 300 is 60.

2.

A. This is incorrect because it equals 125%
B. This is also incorrect, it equals 12.5%
C. Refer to B
[D.] This is correct, it equals 1.14%, which is less than 1.25%

What is the exact volume of a sphere that has a radius of 7.5 ft?

___π ft3

Answers

volume of sphere=4/3 times pi times radius^3
4/3 times pi times 7.5^3=562.5pi

the answer is 562.5π ft^3

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