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Hatshy [7]
3 years ago
12

The Gerardi family can travel to Oshkosh, Wisconsin, from Chicago, Illinois, in 4 hours if they drive an average of 45 miles per

hour. How long would it take them if they increased their average speed to 50 miles per hour?
Mathematics
1 answer:
Natali [406]3 years ago
6 0

Answer:

it will take them 3.6 hours if their speed is increased

Step-by-step explanation:

First of all, we will need to find the total distance the Geradi family will be travelling. This is a better way to start, as the distance is constant regardless of their change in velocity.

Distance travelled = speed of travel X time taken = 45 X 4 = 180 miles per hour.

If the Geradi family increases their speed to 50 miles per hour, their new time will be got by dividing the total distance travelled by this new speed.

New travel time = 180 miles / 50 miles per hour = 3.6 hours

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The radius of a circle is increased by 3 in., which increases the area by 100 in. Find the radius of the original circle. Round
Licemer1 [7]

Answer:

3.81 inches

Step-by-step explanation:

πr² + 100 = π(r+3)²

divide by π and simplify:

r² + (100/π) = r² + 6r + 9

100/π = r² + 6r + 9

31.8309886184 - 9 = r² +6r

r² = 6r - 22.8309886184

0 = 6r - 22.8309886184

22.8309886184 = 6r

divide by 6:

3.80516476973 ≈ 3.81 inches

6 0
3 years ago
Determine which of the following logarithms is expanded correctly.
rodikova [14]
It's C). ㏒(2xy⁻³) =㏒2 + ㏒x -3㏒y
5 0
3 years ago
Determine the number of solutions for the system of equations y=2/3x+4 and y=2/3-x2
Phoenix [80]

2/3x+4=2/3-2x

2/3x-(-2x)

2/3x+2x

2 2/3x+4=2/3

2/3-4=-3 1/3

2 2/3x=-3 1/3

(3 1/3)/(2 2/3)=1 1/4

x = 1 1/4

y=2/3-2x

y=2/3-2(2/3)

y=2/3-4/3

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The answer is (1 1/4, -2/3)

4 0
3 years ago
If f(x)=6x and g(x)=4x+1, find (f o g)(x)
salantis [7]
\bf \begin{cases}
f(x)=6x\\
g(x)=4x+1\\
(f\circ g)(x)=f(~~g(x)~~)
\end{cases}
\\\\\\
f(~~g(x)~~)=6[g(x)]\implies f(~~g(x)~~)=6[4x+1]
\\\\\\
f(~~g(x)~~)=24x+6
8 0
4 years ago
The hypotenuse is NOT:
Natali5045456 [20]

Answer:

NOT found in obtuse triangles

Step-by-step explanation:

you only talk about hypotenuse, adjacent, and opposite in right triangle

4 0
3 years ago
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