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konstantin123 [22]
3 years ago
13

The Harper family is traveling to visit friends. The distance to the friend’s house is 276.45 miles. It takes the family 5.82 ho

urs to complete the trip.
Rate is found by dividing distance by time.

What is the rate for the family’s trip in miles per hour?
Mathematics
2 answers:
Leona [35]3 years ago
8 0

Answer:

270.63

Step-by-step explanation:

hope you get it right

Valentin [98]3 years ago
3 0
270.63 I think u already have the answer but it’s ok
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The equation 2x + 4k − 9 = kx − k + 1 is really a family of equations, because for each value of k, we get a different equation
Olegator [25]
You haven't shared "the given value of x," or, if you have, you haven't drawn attention to it.

Just suppose we were to choose x = 4 as a possible solution and then try to find a value of the parameter k that would make x = 4 an actual solution.

2(4) + 4k - 9 = (4)(4) - (4) + 1

Then 8 + 4k - 9 = 16 - 4 + 1, or       4k - 1 = 13.  Then 4k = 14, and k = 14/4, or (after reduction)  k = 7/2   

If the parameter k equals 7/2, then x = 4 is a solution to the given equation.

To check this out further, start with the proposed solution x = 5 and find k.
3 0
4 years ago
A soccer player kicks a rock horizontally off a 31.0 m high cliff into a pool of water. If the player hears the sound of the spl
OLga [1]

Answer:

initial speed given to the rock is v= 147.46 m/s

Step-by-step explanation:

Since the player kicks the rock horizontally , then its initial vertical speed is always vy₀=0 and thus the time to hit the pool is independent of the speed given to the rock . t is calculated through

0 = y + vy₀*t - 1/2*g*t² = y+ 0 - 1/2*g*t²

then

t = √(2*y/g) = √(2*31 m/ 9.8 m/s²)   = 2.515 s

when the rock hits the water , the sound wave travels diagonally a distance D and is heard by the player. the distance D is

D= v sound * T

the time the sound wave travels is T= 3.6 s -  2.515 s = 1.085 s and v sound= 343 m/s

then

D= v sound * T = 343 m/s* 1.085 s = 372.155 m

since the distance D is also

D= √(x² + y²)

then the horizontal distance  x is

x= √(D² - y²)= √[(372.155 m)² - (31 m)²] = 370.861 m

since the rock hits the water at t = 2.515 s , the horizontal velocity of the ball  ( and thus the initial speed given to the ball since there is no acceleration in the horizontal direction if we depreciate air friction)

v=x/t = 370.861 m/2.515 s = 147.46 m/s

4 0
3 years ago
A force of 9 lb is required to hold ​35lb crate on a hill. What angle does the hill make with the​ horizontal?
kenny6666 [7]

Answer: 14.9^{\circ}

Step-by-step explanation:

Given

Applied force is 9 lb to hold of 35 lb crate on a hill

Suppose the hill makes an angle of \theta with horizontal

There will be two component of weights i.e. along and perpendicular to the hill

Only the component along the hill pulls the crate backwards

So,

\Rightarrow 35\sin \theta=9\\\\\Rightarrow \sin\theta =\dfrac{9}{35}\\\\\Rightarrow \theta =14.89^{\circ}\approx 14.9^{\circ}

8 0
3 years ago
In the figure AB =6cm, triangle AOB =60°
viva [34]

Answer:

From the basics of algebra,

a triangle subtended to the center of a circle from the circumference is always isosceles

since the Central angle is 60 and the triangle is isosceles, the other angles are,

\frac{180 - 60}{2}  = 60

meaning that the triangle is equilateral.

all the other angles are 60.

the radius of the circle is the length of the triangles side,

ie 6cm

6 0
3 years ago
THERE ARE 3 BAGS OF APPLES WEIGHING A TOTAL OF 22 1/2 POUNDS. TWO OF THE BAGS WEIGH 6 3/8 POUNDS AND 3 1/4 POUNDS. HOW MUCH DOES
Paraphin [41]
22 1/2= 6 3/8+ 3 1/4+ x
22 1/2= 6+3(3/8+1/4)+x
22 1/2= 9 (3/8+2/8) +x
22 1/2= 9 5/8 +x
22 1/2 -9 5/8 =x
22-9(1/2-5/8)=x
13(4/8-5/8)=x
13 (-1/8)=x
12 7/8
7 0
3 years ago
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