Stacey worked on her garden for 4 3/4 hours. Josh worked on his garden 2/3 times as long as Stacey. Vicki worked on her garden 1 3/8 times as long as Stacey. Select all statements that are true A. Stacey worked longer on her garden than Josh worked on his garden.
B.Stacey spent less time working on her garden than Vicki spent on her garden.
C. Josh worked longer than Vicki worked on her garden.
D. Vicki worked longer on her garden than Stacey & Josh combined.

Answers

Answer 1

Answer: so basically since josh worked a fraction (that's less than 1) of staceys time then therefor stacy's tme is more than josh
josh<stacy
vicki worked a fraction(that's greater than 1) of stacey's time. since it is greater than 1, it makes it more so like 2 times 2 and 1/2=2+1=3 which is greater so
viki worked more than stacy therefor

josh<stacy<vicki
so
A is correct (Stacey>josh)
B is correct (Stacey<Viki)
C is false
D we have to solve by doing
4 and 3/4 convert to fraction improper
4 and 3/4=19/4
19/4 times 2/3=josh=38/12=19/6
viki worked 1 and 3/8 of stacey
19/4 times 1 and 3/8=19/4+57/32=209/32=7.9
josh+stacey=19/4+19/6=95/12=6.5
7.9>6.5 so
D is true

so the answers that are true are
A,B,D

Answer 2

Answer:

2a is true and 2b is also true and 2c is false 2d is true

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Solve this question using suitable property(associative,distributive,closure,commutative)24*102

Answers

$distributive\ property:\n\n24\cdot102=24\cdot(100+2)=24\cdot100+24\cdot2=2400+48=2448$

Answer : $24*102 \n =24*(100+2) \n =24*100+24*2 \n =2.400+48 \n =2.448$

Write a division problem that will have a 2 digit quotient and another division problem that will have a 3 digit quotient. Explain how you choose the divisors and dividends.

Answers

Answer:

$(240)/(4) =60$

$(1800)/(3) =600$

Step-by-step explanation:

1. The result should by a 2 digit number.

So, I fix a two digit number first, say 60.

Then, I multiplied it by some random integer, say 4 and got 240.

Now, 240 is my dividend and 4 is my divisor.

My division problem is:

$(240)/(4) =60$

2. The result should be a 3 digit number.

So, I fix a three digit number first, say 600.

Then, I multiplied it by some random integer, say 3 and got 1800.

Now, 1800 is my dividend and 3 is my divisor.

My division problem is:

$(1800)/(3) =600$

1. 150 divided by 5= 30
2. 1,000 divided by 10= 100

Simplify using mental math 7 / 10 + 2 / 5 - 1 / 10

Answers

common denominator first. multiply 2/5 by 2 in the top and bottom so they all have a denominator of 10

7/10+4/10-1/10=10/10

10/10=1

Assuming mental math still follows the order of operations, you have
$(7)/(10) + (4)/(10) - (1)/(10) = (10)/(10) = 1$

So the answer is 1.

Answer this challenge question thanks

Answers

if you ask what is x it's 8 and if you ask the D it's 86.

Determine the slope of the graph of x^4=ln(xy) at the point (1,e)

Answers

Answer:

Answer is 3e.

Step-by-step explanation:

The slope is given by the derivative at the given point.

Differentiating:-

4x^3 = 1/xy *(x * dy/dx + y)

4x^3 = 1/y * dy/dx + 1/x

dy/dx = (4x^3 - 1/x) * y

At the point (1, e) x = 1 and y = e so substituting

slope at (1,e) = dy/dx = (4(1)^3 - 1/1) * e

= 3e (answer)

It is 3e. Differentiating x^4=ln(xy), we have to implicitly differentiate this.

$4x^(3)= (1)/(xy) \cdot (d)/(dx)(xy)$

The derivative of xy you have to use the chain rule.

$(d)/(dx)(xy)=x \cdot (dy)/(dx)+y$

So now it's

$4x^(3)=(y+(dy)/(dx) \cdot x)/(xy)$

Now we want the slope when x=1 and y=e

$4(1)^(3)=(e+(dy)/(dx))/(e)$

$4=(e+(dy)/(dx))/(e)$

$4=1+(dy)/(dx) \cdot (1)/(e)$

$(dy)/(dx)=3e$

What is 7250 equal to in liters

Answers

$7250\ mL=7.250\ L$

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