Let x be equal to the number of drinks Yasmine consumed.
Jose had 2 times that drink so his number of consumed drink would be represented by 2x.
Sally had 3 fewer drink than Jose so her number of consumed drinks would be represented by 2x-3.
Altogether, the three of them consumed 72 drinks so your equation would be:
x+2x+(2x-3)=72
add like terms together:
5x-3=72
have the term with x be alone on one side of the equation, in this case by adding three to both sides:
5x=75
now divide both sides by five for the value of x and your answer is.....
x=15
Solve for the bracelet first.
x represents number of beads for bracelet
So it would be number of beads for the bracelet + number of beads for necklace (5x) and they both equal 192
x + 5x = 192
Then you would add the x and 5x.<br />6x = 192
Now all you have to do is divide by 6 on both sides.
6× ÷ 6 = 192 ÷ 6
You know have the number of beads it takes for a bracelet.
x = 32
to get the necklace all you need to do is multiply it by 5 because you need 5 times more for the necklace.
32 × 5
total beads needed is 160.
160
x+5x=192
6×=192
6x÷6=192÷6
x=32
necklace needs 32x5
beads per necklace is 160
Let length of the hypotenuse = 3x and length of given leg be x feet.
then (3x)^2 = x^2 + 648
8x^2 = 648
x^2 = 81
so x = 9 and 3x = 27
Hypotenuse is 27 feet and the leg equals 9 feet.
First you convert kilograms to pounds,
1 kilogram = 2.205 pounds
next you times the number of pounds per kilogram by the number of kilograms given that need to be turned into pounds.
80 times 2.205 = 176.4
next you subtract to get the answer
176.4 - 135= 41.4
so Ms. Johnson weighs 41.4 pounds less than herr husband
(2,8) and (-2,10)
<u>y₂</u><u> </u><u>- y₁</u> used to find the slope<u>
</u>x₂ - x₁
<u>
</u>plug in the coordinates
<u>10-8</u> = <u>2</u> all equals -1/2
-2-2 = -4 m=-1/2
<u>
</u>plug one of the coordinates and the slope into y=mx+b, and solve
<u />8=-1/2(2)+b
8=-1+b
9=b
Final Answer: y = -1/2x + 9
