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lawyer [7]
3 years ago
11

1. If one painter can paint a house in 4 days and another painter can paint a house in 7 days, how many days will it take them w

orking together?
2. A car and a motorcycle both leave at the same point at the same time and travel in the same direction. The car travels at an average rate of 55 mph and the motorcycle travels at an average rate of 40 mph. How long will it take before the vehicles are 25 miles apart?
Mathematics
1 answer:
enyata [817]3 years ago
6 0

9514 1404 393

Answer:

  1. 2 6/11 days
  2. 1 2/3 hours

Step-by-step explanation:

1. Add the rates in terms of houses per day.

  1/4 + 1/7 = (7+4)/28 = 11/28

Then the time required in terms of days per house is the reciprocal of this:

  28/11 = 2 6/11 . . . . days to paint a house, working together

__

2. Each hour, the vehicles separate by 55 -40 = 15 miles. Then the time required for a separation of 25 miles is ...

  time = distance/speed = (25 mi)/(15 mi/h_ = 5/3 h = 1 2/3 h

The vehicles will be separated by 25 miles after 1 2/3 hours.

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Match each description of an algebraic expression with the symbolic form of that expression
kicyunya [14]

Answer:

A. 2 terms; variable = x; constant = 4.5 -------> 4.5 - 2x

B. 2 terms; variables = x and y -----------> 4.5y - 2x

C. 3 terms; variables = x and y; constant = 2 --------------> 4.5x + 2 - 3y

D. 3 terms; variables = x and y; constant = 3 --------------> x - 2y + 3

Its 100% correct just not in the order you put it in, I think you might of switched them but I just did the Warm-Up and its right my dudes :)

7 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.
hichkok12 [17]

Answer:

x = 25

Step-by-step explanation:

<em>Step 1: Identify the similar triangles</em>

Triangle DQC and triangle DBR are similar

<em>Step 2: Identify the parallel lines</em>

QC is parallel to BR

<em>Step 3: Find x</em>

DQ/QB = DC/CR

40/24 = x/15

x = 25

!!

8 0
3 years ago
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Find the area of the parallelogram
iogann1982 [59]

Answer:

The answer is 32.

Step-by-step explanation:

Just multiply the height by the base length. 4*8=32

8 0
3 years ago
Which expression represents the product of b and 34?
Debora [2.8K]
The correct choice is B
4 0
3 years ago
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Which step is included in the graph of the function f(x)=[x-1]? (the brackets are ceiling functions symbols)
KiRa [710]

we are given

f(x)=[x=1]

where bracket means ceiling functions

we know that

Ceiling  function returns the least value of the integer that is greater than or equal to the specified number

so, we can check each options

option-A:

-4\leq x

At x=-4:

f(x)=[-4-1] =-5

For x<-3:

Let's assume

x=-3.1

f(x)=[-3.1-1] =[-4.1]=-5

so, this interval is TRUE

option-B:

-2\leq x

At x=-2:

f(x)=[-2-1] =-3

For x<-1:

Let's assume

x=-1.1

f(x)=[-1.1-1] =[-2.1]=-3

so, this is FALSE

7 0
4 years ago
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