Answer:
15
Step-by-step explanation:
in multiplication we have given form of expression
Dividend(D) = Quotient(Q) x Divisor(d) + Remainder(r)
The number which is getting divided is called dividend
divisor is the number which divides the dividend.
quotient is the No. of times a dividend is divisible by divisor.
if dividend is not completely divisible by divisor then leftover after quotient * divisor is remainder.
value of remainder should be always less than divisor.
In the problem given
Dividend is 75
divisor is 5
so by the given above expression
Dividend(D) = Quotient(Q) * Divisor(d) + Remainder(r) ----> 1
we know that 15*5 = 75
75 = 15*5 + 0
comparing with the expression 1
we have q = 15
r = 0
Thus, quotient is 15.
Answer: 40
Step-by-step explanation: Multiply by the reciprocal (flip the fraction 1/4), and the new equation is 10*4, which is 40
Answer:
x = 40
smaller angle is 80
larger angle is 100
Step-by-step explanation:
Supplementary angles add up to equal 180 degrees
Hence, x + 40 + 3x - 20 = 180
( note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
x + 40 + 3x - 20 = 180
step 1 combine like terms
x + 3x = 4x
40 - 20 = 20
we now have 4x + 20 = 180
step 2 subtract 20 from each side
180 - 20 = 160
we now have 160 = 4x
step 3 divide each side by 4
160 / 4 = 40
4x / 4 = x
we're left with x = 40
we now plug in 40 for x to find the value of each angle
x + 40
* substitute 40 for x *
40 + 40 = 80
3x - 20
* substitute 40 for x *
3 ( 40 ) - 20
3 * 40 = 120
120 - 20 = 20
so the larger angle is 100 degrees and the smaller angle is 80 degrees
