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kolbaska11 [484]
2 years ago
9

Linh buys two T-shirts for $12 each, a pair of shoes for $28, and a pair of jeans for $45. She has a coupon for 30 percent off h

er total purchase. There is no tax on her purchase. What is the final price that Linh pays?
$25.50
$29.10
$59.50
$67.90
Mathematics
2 answers:
Darina [25.2K]2 years ago
7 0
12x2= $24
24+28+45= $97

So $97 is 100%

So 100%-30% =70% (30% off)
(note: 70% = 70/100 = 0.7)

97 x 0.7 = $67.90
ASHA 777 [7]2 years ago
3 0
The correct option is option D. $67.90
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Jeff earned his pilot's license and flew to visit his brother 200 miles away. A headwind of 20 mph slowed down the plane's speed
lora16 [44]
<h2>Plane's speed without wind i s 117.68 mph</h2>

Step-by-step explanation:

We have speed of plane without wind is x.

Distance to brothers place = 200 miles.

A headwind of 20 mph slowed down the plane's speed on the first leg of the trip

Speed to brothers place = x - 20

We have

         Distance = Speed x Time

         200=(x-20)\times t_1\\\\t_1=\frac{200}{x-20}

A tailwind of 20 mph sped up the plane on the return trip

Speed of return trip = x + 20

We have

         Distance = Speed x Time

         200=(x+20)\times t_2\\\\t_2=\frac{200}{x+20}

The entire trip took 3.5 hours.

That is

            t_1+t_2=3.5\\\\\frac{200}{x-20}+\frac{200}{x+20}=3.5\\\\200x+4000+2000x-4000=3.5(x-20)(x+20)\\\\400x=3.5x^2-1400\\\\7x^2-800x-2800=0\\\\\texttt{x = 117.68mph or x =-3.40mph}

Plane's speed without wind i s 117.68 mph

7 0
2 years ago
Point T, the midpoint of segment RS, can be found using the formulas x = (6 – 2) + 2 and y = (4 – 6) + 6. What are the coordinat
Fiesta28 [93]

Question:

Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?

Answer:

T(4,5)

Step-by-step explanation:

Given

x = \frac{1}{2}(6 - 2) + 2

y = \frac{1}{2}(4 - 6) + 6

Required

Determine the coordinates of T

The coordinates of T can be represented as T(x,y)

To do this, we simply solve for x and y

x = \frac{1}{2}(6 - 2) + 2

Solve 6 - 2

x = \frac{1}{2}*4 + 2

Solve 1/2 * 4

x = 2 + 2

x = 4

y = \frac{1}{2}(4 - 6) + 6

Solve 4 - 6

y = \frac{1}{2}*-2 + 6

Solve 1/2 * -2

y = -1 + 6

y = 5

Hence, the coordinates of T(x,y) is:

T(x,y) = T(4,5)

5 0
2 years ago
Read 2 more answers
A steel pipe 100 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If thee density of the steel is 7.8 g
ELEN [110]

Answer:

The mass of the pipe is 465\ g

Step-by-step explanation:

step 1

Find the volume of the steel pipe

The volume is equal to the area of outside circle minus the area of inside circle, multiplied by the length of the pipe

so

V=\pi [r2^{2}-r1^{2}]L

we have

r2=2/2=1\ cm ---> the radius is half the diameter

r1=1.8/2=0.9\ cm ---> the radius is half the diameter

L=100\ cm

\pi=3.14

substitute

V=(3.14)[1^{2}-0.9^{2}](100)=59.66\ cm^{3}

step 2

Find the mass

The mass is equal to the density multiplied by the volume

so

m=7.8(59.66)=465\ g

8 0
2 years ago
Solve X-9+2wx=y for x
maxonik [38]
X - 9 + 2wx = y Add 9 to both sides x + 2wx = y + 9 Factor out the x x (1 + 2w) = y + 9 Divide both sides by (1 + 2w) x = (y + 9) / (1 + 2w)
8 0
2 years ago
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A set of positive integers {1, 2 , 3 , 4, 5 , 6 , 7 , 8 , 9} is used to form a pack of nine cards. each card displays one positi
ivanzaharov [21]
If the largest integer drawn among the four cards is 5, then that means that 3 of the cards drawn are from the set {1, 2, 3, 4}. The number of ways of selecting 3 cards from 4 cards is given by:

^4C_3=4

If the largest integer drawn among the four cards is 6, then that means that 3 of the cards drawn are from the set {1, 2, 3, 4, 5}. The number of ways of selecting 3 cards from 5 cards is given by:

^5C_3=10

If the largest integer drawn among the four cards is 7, then that means that 3 of the cards drawn are from the set {1, 2, 3, 4, 5, 6}. The number of ways of selecting 3 cards from 6 cards is given by:

^6C_3=20

Therefore, <span>the number of selections grace could make if the largest integer drawn among the four cards is either a 5, a 6 or a 7 is given by 4 + 10 + 20 = 34 selections.</span>
6 0
2 years ago
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