Answer:
the Expression is :
(3) × (1 + 6d + 7y)
Step-by-step explanation:
here's the solution : -
=》

=》

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

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

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 5

Putting y=66 in Eqn 1

There are 187 nickels and 66 dimes in the jar.
Keywords: linear equation, elimination method
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Answer:
A is given by:

Step-by-step explanation:
The base length of the triangle is 4 units shorter than the height.
This means that 
So



The expression for A in terms of h only was given above.
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
Answer: PEMDAS
Step-by-step explanation:
solve in order parentheses, exponents, multiply, division, adding, subtraction