The answer is 843... if you are talking about adding...
Ray wants to buy an item worth 500$ in the most cost-effective way. Let's study each of the 3 cases and see with option is the best.
In the first option, he'll buy the item at list price with a coupon for $10 off. So he'll buy it at 500-10 =$490.
In the second option, he'll buy a membership for $35 and then get the item at a 15% discount. With a 15% discount, the price of the item will be 500 - (500*0.15) = 500 - 75 = $425. And with the membership price, he'll pay a total of 425 + 35 = $460.
The third option is to buy the item online at a 10% discount and pay $4 for the shipping. At 10% discount, the price of the item will be 500 - (500*0.1) = 500 - 50 = $450. And with cost of the shipping, he'll pay a total of 450+4 = $454.
So if he chooses the first option, he'll pay $490. With the second, he'll pay $460. And finally with the third, he'll pay $454.
So the third option is the most cost-effective, buying the item at $454.
Hope this helps! :)
Answer:
x = 16°
H = 46°
I = 55°
J = 39°
Step-by-step explanation:
Since the whole figure is 180°
Deduct 180 by the numbers mentioned above in order to find x.
180 - 2 - 9 - 9 = 160
3x + 4x + 3x = 10x
10 x = 160
x = 160 ÷ 10 = 16
Since we know what x is, we can find all the angles in the figure.
Angle at H = 3 x 16 - 2 = 46°
Angle at I = 4 x 16 - 9 = 55°
Angle at J = 3 x 16 - 9 = 39°
Answer:
Total Distance = 2 miles
Step-by-step explanation:
We know D = RT where
D is distance
R is rate (speed)
T is time
First Leg:
Rate = x mph
Time = 20/60 = 1/3 hour
Hence, D = RT, Distance = x * 1/3 = x/3 miles
Second Leg:
Rate = x - 1
Time = 30/60 = 1/2 hour
Distance = (x - 1) * 1/2 = (x-1)/2
Total distance is the sum of both the legs, hence,
Total distance =
miles
Since both the distance are equal we can equate and solve:
![\frac{x}{3}=\frac{x-1}{2}\\2x=3x-3\\x=3](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%3D%5Cfrac%7Bx-1%7D%7B2%7D%5C%5C2x%3D3x-3%5C%5Cx%3D3)
Plugging this x = 3 into the total distance expression, we get:
![\frac{5x-3}{6}\\\frac{5(3)-3}{6}\\=2](https://tex.z-dn.net/?f=%5Cfrac%7B5x-3%7D%7B6%7D%5C%5C%5Cfrac%7B5%283%29-3%7D%7B6%7D%5C%5C%3D2)
Total distance, 2 miles
Answer: See explanation
Step-by-step explanation:
a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
Speed = Distance / Time
= 112 / 1 45/60
= 112 / 1 3/4
= 112 × 4/7
= 64 miles per hour.
TRUE
b . If 6 pens cost $7.74, then 7 pens cost $9.03.
Cost of one pen = $7.74/6 = $1.29
Cost of 7 pens = $1.29 × 7 = $9.03
TRUE
c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
Speed = Distance / Time
Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes
FALSE
d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
Cost of one can = $38.59 / 17 = $2.27
Cost of 3 cans = $2.27 × 3 = $6.81
TRUE
e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
A dozen = 12
2 dozens = 12 × 2 = 24
Cost of one egg = $8.40 / 24 = 0.35 = 35 cents
FALSE