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frosja888 [35]
4 years ago
5

jerry is a judge. He hears 5 cases every 2 3/8 hours. Jerry hears caese at a constant rat. How many cases does he hear per hour

Mathematics
1 answer:
faust18 [17]4 years ago
8 0

Answer:

The number of cases heard by Jerry per hour is 2\frac{21}{500}

Step-by-step explanation:

The rate of hearing the cases is 5 cases in 2 3/8 hours.

Now, 2\frac{3}{8}   = 2+\frac{3}{8}  = 2 + 0.375 = 2.375

⇒The judge hears 5 cases in 2.375 hours.

So, the number of cases per hour = = \frac{\textrm{Total Number of cases heard}}{\textrm{Number of Hours}}  = \frac{5}{2.375}

                                                           = 2.105

Also, 2.105 =   2 + 0.105 =  2 + \frac{105}{1000}   = 2+\frac{21}{500}  = 2\frac{21}{500}

Hence, the number of cases heard by Jerry per hour is 2\frac{21}{500}

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Vlada [557]

Answer:

the Expression is :

(3) × (1 + 6d + 7y)

Step-by-step explanation:

here's the solution : -

=》

3 + 18d + 21y

=》

(3 \times 1 )+ (3 \times 6d) + (3 \times 7y)

now, since 3 is common in all terms let's take it out.

=》

3 \times (1 + 6d + 7y)

=》so, ,we got the above expression as product of 3 and ( 1 + 6d + 7y ) as factors.

3 0
3 years ago
Read 2 more answers
A jar contains n nickels and d dimes. There is a total of 253 coins in the jar. The value of the coins is $15.95. How many nicke
defon

There are 187 nickels and 66 dimes in the jar.

Step-by-step explanation:

Given,

Total coins = 253

Value of coins = $15.95 = 15.95*100 = 1595 cents

Value of each nickel = 5 cents

Value of each dime = 10 cents

According to given statement;

x+y=253     Eqn 1

5x+10y=1595     Eqn 2

Multiplying Eqn 1 by 5

5(x+y=253)\\5x+5y=1265\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(5x+10y)-(5x+5y)=1595-1265\\5x+10y-5x-5y=330\\5y=330

Dividing both sides by 5

\frac{5y}{5}=\frac{330}{5}\\y=66

Putting y=66 in Eqn 1

x+66=253\\x=253-66\\x=187

There are 187 nickels and 66 dimes in the jar.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/12905000
  • brainly.com/question/12918501

#LearnwithBrainly

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4 years ago
The formula for the area A of a triangle with base length b and height h is as follows.
vlada-n [284]

Answer:

A is given by:

A = h^2 - 4h

Step-by-step explanation:

The base length of the triangle is 4 units shorter than the height.

This means that b = h - 4

So

A = bh

A = (h-4)h

A = h^2 - 4h

The expression for A in terms of h only was given above.

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3 years ago
A rectangle field has an area of 1764 m^2. The width of the field is 13m more than the length. What is the perimeter of the fiel
mr_godi [17]

Answer:

Step-by-step explanation:

hello :

let y the length and  x the  width

A  the area and  P the perimeter

so : A= xy and P  = 2(x+y) ....y > x and x >0  ; y>0

xy = 1764 ...(1)

y = x +13....(2)  put this value in (1) : x (x+13) = 1764

x²+13x -1764 = 0   ...quadratic equation

calculate : Δ = b² -4ac   a =1  and  b =13  and

c = -1764

Δ = (13)² - 4(1)(-1764) = 169 +7056 = 7225=85²

X1 =(-b-√Δ)/2a =(-13-85)/2 < 0 refused  (x  >0)

X2 =(-b+√Δ)/2a =(-13+85)/2  = 72/2 = 36

so : x= 36  put this value in (2) : y = 36+13 = 49

the perimeter is : P  = 2(x+y)

                            P  = 2(36+49) = 170 m

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3 years ago
What's the order of operations when solving fractions?
VashaNatasha [74]

Answer: PEMDAS

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