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Virty [35]
3 years ago
5

Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy and traveling 10 miles

per hour faster, to travel 390 miles. How fast is Bob driving?
Mathematics
1 answer:
denis-greek [22]3 years ago
5 0

Answer:

  55 mph

Step-by-step explanation:

Let x represent Bob's speed. Then John's speed is x+10, and their respective times are found by ...

  time = distance/speed

  330/x = 390/(x+10) . . . . . . . the times are the same

  330(x +10) = 390x . . . . . . .  multiply by x(x+10)

  3300 = 60x . . . . . . . . . . . . . subtract 330x

  55 = x . . . . . . . . . . . . . . . . . . divide by the coefficient of x

Bob is driving at 55 miles per hour.

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For #32, the answer is the third one because you mixed up your x and y values, you were on the right track though
#33 is the last one
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3 years ago
Find the missing side lengths. Leave your answers as radicals in simplest form.
sattari [20]

Answer:

see explanation

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = \frac{\sqrt{3} }{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{14\sqrt{3} }{x} = \frac{\sqrt{3} }{2} ( cross- multiply )

x \sqrt{3} = 28\sqrt{3} ( divide both sides by \sqrt{3} )

x = 28

-----------------------------------------------------------

To find y use the tangent ratio in the right triangle and the exact value

tan60° = \sqrt{3} , then

tan60° = \frac{opposite}{adjacent} = \frac{14\sqrt{3} }{y} = \sqrt{3} ( multiply both sides by y )

14\sqrt{3} = y \sqrt{3} ( divide both sides by \sqrt{3} )

y = 14

3 0
4 years ago
Steven bought five bags of candies for $24.50 total. Which
vladimir2022 [97]

Answer:

4.9

Step-by-step explanation:

24.50 divided by 5 is 4.9

7 0
3 years ago
10/12 + 1/4 please help me
BartSMP [9]

Answer:

Here you go, hope this helps

Step-by-step explanation:

Exact form: 13/12

Decimal form: 1.083 repeating

Mixed Number form: 1 1/12

3 0
3 years ago
Read 2 more answers
3 times what equal 19?
MissTica

Answer:

6 1/3

Step-by-step explanation:

3 times what equals 19 can be in the form of an equation as shown below. It shows that the value we are finding for is unknown, therefore it is a variable. A variable is the unknown value in an equation.

Equation: 3x = 19

With the equation in hand, we can now solve the problem easily.

3x = 19

Carry the 3 to the 19(Carry over the like terms across leaving the variable or the unknown)

x = 19÷3

x = 6.33333 or 6 1/3

To check if the answer was correct:

3 × 6 1/3 = 19

You regain the answer <em>19</em>

4 0
3 years ago
Read 2 more answers
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