Answer:
4.2 grams in total
Step-by-step explanation:
<h2>
Remember to line up the decimal point when adding numbers that contain decimals.</h2>
3.7
+0.5
_______
4.2
Answer:
The price of uniform U= $145
price of each pair of cleats C= $16
Step-by-step explanation:
Let:
The Price of Each Uniform = U
The Price of Each Pair of Cleats = C
Rigo spent $451, before taxes, and purchased three uniforms and one pair of cleats.
→ Equation A
Ian spent $757, before taxes, and purchased five uniforms and two pair of cleats.
→ Equation B
Let's calculate → 2(Equation A) - (Equation B)
2(3U+C)-(5U+2C)= 2(451) -757
6U+2C-5U-2C= 145
U=$ 145
3U+C= 451
3(145)+C= 451
C= 451-435
C= $16
Answer:
One fruit kabob and one smoothie
Two fruits kabobs and two smoothies
Three fruit kabobs and one smoothie
One fruit kabob and two smoothies
Explanation:
In this situation, the basic combination John can afford is simply to buy one fruit kabob and one smoothie ( $1.75 + $ 2.50 = $4.25) because he wants at least one unit of each item. Additionally, it is possible to add more units of each item to create new combinations or possibles, just make sure they do not total more than 9 dollars, which is the money John has. Here are some of the possible combinations:
Two fruit kabobs and two smoothies
Fruit kabobs: $1.75 x 2 = $3.5
Smoothies: $ 2.50 x 2 = $5
Total: $8.5
Three fruit kabobs and one smoothie
Fruit kabobs: $1.75 x 3 = $5.25
Smoothie: $2.50
Total: $7.75
One fruit kabob and two smoothies
Fruit kabob: $1.75
Smoothies: $2.50 x 2 = $5
Total: $6.75
<u>Part a)</u> Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime
Let
E-------> the amount of money earned
x------> number of hours worked
we know that
For 

therefore
<u>the answer part a) is</u>

<u>Part b) </u>Create an equation that shows the amount of wages earned, T, for working y hours of overtime
Let
T-------> the amount of money earned
y------> number of hours of overtime
we know that


therefore
<u>the answer part b) is</u>

<u>Part c)</u> Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?
we know that


Divide
by
----> to obtain the hours of overtime

So
Allison works


therefore
<u>the answer part c) is</u>

If P has Cartesian coordinates (7, pi/3), then its Polar coordinates are (square root of ((7)^2 + (pi/3)^2) , arcton (pi/21))
<u>Explanation</u>:
The given coordinates (
7
, π
/3
) look as if they are already in polar form (radius = 7
, and angle = π/3).
but in case (
7
, π
/3
) really are Cartesian coordinates (i.e. (
x
,
y
) =
(
7
, π/3
)
)
The radius is given by √(
x /2 + y/
2) and the angle by the arctan (
y
,x
).