Mrs. Sanchez has a bag of assorted nuts that contain almonds, pecans, and walnuts. 1/3 of the nuts are almonds and 3/4 of the remainder are pecans. There are 300 nuts in the bag. How many walnuts are in the bag

Answers

Answer 1
Answer: almonds = 1/3*(300) = 100

remainder is 300 - 100 = 200

pecans = 3/4*(200) = 150

walnuts = 300 - 100 - 150 = 50

there are 50 walnuts in the bag
Answer 2
Answer: There are 50 walnuts, 100 Almonds, and 150 Pecans.

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Which describes the relationship between 20,000 and 200,000

Answers

2 and because theu are in the thousands and hundreds

What is the correct order of the following numbers from least to greater?
2/3, -0.6, 0.65, 4/5

Answers

we can either convert them to decimals or to fractions
if decimals
2/3=0.66666666
4/5=8/10=0.8
so the order is
-0.6, 0.65, 0.66, 0.8 or
-0.6, 0.65, 2/3, 4/5

if conver to fractions then
since -0.6 is negative, it is smallest, no need to convert
0.65=65 hundreths=65/100
2/3=66/99=prety close
4/5=8/10=80/100
order is
-0.6, 65/100, 66/99, 80/100 or
-0.6, 0.65, 2/3, 0.8
2/3 = 0.66

Now lets see....

4/5 = 0.8

Answer: -0.6 , 0.65, 2/3, 4/5

Which fraction is equivalent to 0.5? A. 0/5


B. 5/10


C. 5/100


D. 2/1

Answers

B. 5/10 is equivalent to 0.5
B, 5/10=1/2=0,5
So 0,5 is equal to 5/10

-3/4 + (-3/4)
( - 3)/(4)  +  ( - 3)/(4)

Answers

Firstly, since these two fractions have the same denominator, add the numerators up: (-6)/(4)

While it appears that the answer is -6/4, you can further simplify it by dividing the numerator and denominator by 2: -(6)/(4)/(2)/(2)=-(3)/(2)

Your answer is -(3)/(2)

Which ordered pair is the solution to the system of equations?2x+y=-8
x-y=-4

A.
(−3, −2)

B.
(−1, 3)

C.
(1, 5)

D.
(−4, 0)

Answers

so first solve for x and y
add the 2 equations together

2x+x+y-y=-8-4
3x=-12
divide by 3
x=-4
subsitute
-4-y=-4
addd 4 to both sdies
-y=0

the solution is (x,y)  (-4,0) or D
So,

I have decided to use Elimination by Addition.

Add the two equations together
3x = -12

Divide both sides by 3
x = -4

Substitute -4 for x in the second equation.
-4 - y = -4

Add 4 to both sides
-y = 0
y = 0

Check
2(-4) + 0 = -8
-8 = -8 This checks.

-4 - 0 = -4
-4 = -4 This also checks.

The solution set for this system is as follows:
S = {(-4,0)}

That would be option D.

Solve the equation −3x2 − 11x + 4 = 0 using the quadratic formula. Leave your answer in radical form.

Answers

3 {x}^(2)  + 11x - 4 = 0 \n 3 {x}^(2)  + 12x - x - 4 = 0 \n 3x(x + 4) - (x + 4) = 0 \n (x + 4)(3x - 1) = 0 \n x =  - 4  \:  (1)/(3)