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Lubov Fominskaja [6]
3 years ago
14

A car travels at an average speed of 48 miles per hour. How long it take to travel 156 miles

Mathematics
2 answers:
dangina [55]3 years ago
6 0

Answer: 195 min or 3 hr and 15 min

Step-by-step explanation:

We can set up a proportion to solve this problem.

\frac{48mi}{60 min} =\frac{156 mi}{x}

48x=156*60

48x=9360

x=195 min

We can also write this in terms of hours and minutes.

\frac{60 min}{1 hr} =\frac{195 min}{x}

60x=195

x=3.25

3 hr and 15 min

Vikentia [17]3 years ago
3 0

Answer:

3.25 h = 3 h 15 m

Step-by-step explanation:

156 mi * 1h/48 mi = 3.25 h = 3 h 15 m

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5x + 1 = 56<br><br> Solving 2 step equations?
frutty [35]

Answer:

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Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a
Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

U(x, y) = x^2y^8

MU_x =\frac{\partial U}{\partial x}  = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\

Price of apples, Px=$4

Price of tomatoes,  Py=$3

Ratio of their Marginal Utilities

\frac{MU_x}{MU_y}  =  \frac{Px}{Py}

\frac{y}{4x}  =  \frac{4}{3}

y=\frac{16x}{3}

Since Natalie’s income is $320

320 = xPx+yPy

320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33

Since x=16, Natalie will consume 16 apples.

6 0
3 years ago
Please help quick for 25 points with explanations. Any silly and absurd answers will be reported.
amid [387]

Answer:

Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±\sqrt{61})/2. So, PQ=\frac{\sqrt{61} }{2}, PQ²=\frac{61}{4}. Thus, the answer is 61+4=65.

Step-by-step explanation:

4 0
3 years ago
GCF of 35,5,70 is???
Vanyuwa [196]

Answer:

5

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Hope this helps :)

6 0
3 years ago
i have a square, and place three dots along the 4 edges at random. what is the probability that the dots lie on distinct edges?
olya-2409 [2.1K]

The correct answer is listed as (3/4) * (1/2) = 3/8. The probability that the dots lie on distinct edges is 3/8.

Probability is simply how likely something is to happen. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Learn more about probability here

brainly.com/question/24756209

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