Step-by-step explanation:
÷6
First, simplify the 6 to an improper fraction, which is:
Next rewrite the equation using the improper fraction:
÷
Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase <em>Copy Dot Flip - </em>Copy the first fraction, put a dot for multiplication, and flip the second fraction.
·
Finally, multiply together and simplify/reduce if needed:
<u>The final answer is </u>
<u> and no simplification or reduction is needed</u>
Answer:
500g Jelly beans $9.90
Step-by-step explanation:
To know the values.
Let's know how much a gram will cost in each case
300g Jelly beans $5.80
1g = 5.8/300
1 g = 0.01933
500g Jelly beans $9.90
1g = 9.9/500
1g =0.0198
It's obvious that the second one has more value placed on it as it cost more per gram
Answer:
Step-by-step explanation:
Find the diagram attached. From the diagram, we can see that;
<USW = <TSR (vertically opposite angles)
Given
<USW = 7x-34
<TSR = 4x+29
Equate
7x-34 = 4x+29
7x-4x = 29+34
3x = 63
x = 63/3
x = 21°
Find <USW
<USW =7x-34
<USW =7(21)-34
<USW = 147-34
<USW = 113°
Hence the measure of <USW is 113°
Remark
She starts out with x
She spends 10 dollars paying back her brother (that's - 10)
She spends 30 dollars on fuel (that - 30)
She spends 1/2 what's left on a tent ( that's 1/2 (x - 10 - 30) )
She then spent 29.45 on running shoes. 1/2 (x - 10 - 30) + 29.45 is her expenditures.
After all that she has 17.75 left.
Equation
x - 10 - 30 - 1/2(x - 10 - 30) - 29.45 = 17.75
Solve
Begin by adding 29.95 to both sides.
x - 10 - 30 - 1/2(x - 10 - 30) = 17.75 + 29.45
x -10 - 30 - 1/2(x - 10 - 30) = 47.20 Add the like terms on the left.
x - 40 - 1/2(x - 40) = 47.20 Add 40 to both sides. Don't go inside the brackets.
x - 1/2x + 1/2 (40) = 87.20
1/2 x + 20 = 87.20 Subtract 20 from both sides.
1/2 x = 67.20 Multiply by 2
x = 134.40
