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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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All you need to do here is know where and how to plug in the numbers. In each equation, you'll have an initial fee, and an hourly fee, so your equation will be
y = i + hx, where i = the initial fee, and h = the hourly fee

So, after plugging them in, here's what you get:
Doors Galore: y = 40 + 50x
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6 0
3 years ago
Y=-7X-14<br> 1. What is the y-intercept of the graph of the given function? How do you know?
34kurt

Answer:

(0, -14)

Step-by-step explanation:

The y intercept of the graph of the function is at (0, -14)

In the equation y = mx + b, the constant b is the y value of the y intercept. In this equation, b is equal to -14, so this means the y intercept is at (0, -14).

We can also find the y intercept by setting x equal to 0, then solving for y.

Substitute 0 for x:

y = -7x - 14

y = -7(0) - 14

y = 0 - 14

y = -14

So, the y intercept is at (0, -14)

7 0
3 years ago
The local water slides have 100 employees, of which 30% are temporary. How many temporary employees are there?
Ugo [173]

Answer:

There are 30 temporary employees

Step-by-step explanation:

<em>To find </em><em>x% of quantity A</em><em>, multiply x% by A after change x% to the normal number by divide it by 100 ⇒ </em><em>(x ÷ 100) × A</em>

Let us use this rule to solve the question

∵ The local water slides have 100 employees

∵ 30% of them are temporary

∴ The number of temporary employees = 30% × 100

∵ 30% = 30 ÷ 100 = 0.30

∴ The number of temporary employees = 0.30 × 100

∴ The number of temporary employees = 30

∴ There are 30 temporary employees

3 0
3 years ago
What is the total area of this composite figure rounded to the nearest hundredth?
weqwewe [10]

Answer:

choice #4, total=31.14 mm^2

Step-by-step explanation:

14x2=28 is area of rectangle

1^2xPi=area of small circle

3.14=area of small circle

total=31.14 mm^2

7 0
3 years ago
A construction worker bought several bottles of juice for $3 at the comedian store she paid for them the $20 bills if J represen
irina [24]

Expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.

<u>Solution:</u>

Given that  

A construction worker bought several bottles of juice for $3 at the comedian store

She paid for them the $20 bills

Number of bottles of juice is represented by variable J

Need to write an expression for the change she receives.  

From given information

Price of 1 juice bottle = $3

\text { So price of J juice bottles }=\mathrm{J} \times \text { Price of } 1 \text { juice bottle }

=\mathrm{J} \times 3=3 \mathrm{J}

<em>Change she receives = Amount she paid - price of J juice bottles   </em>

=> Change she receives = 20 – 3J

Hence expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.

4 0
4 years ago
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