Answer:
42 is the smallest of the 4 numbers.
Step-by-step explanation:
The 4 consecutive integers that total 174 are 42,43,44, and 45. Therefore, 42 is the smallest out of all 4 integers.
Answer:
B. $1430
Step-by-step explanation:
Put 6 in the equation for n and do the arithmetic.
A(6) = 1300 +(6 -1)(0.02·1300)
= 1300(1 +5(.02)) = 1300(1.1)
A(6) = 1430 . . . . matches choice B
1. −2x−4=20+6x
Step 1: Simplify both sides of the equation.
−2x−4=20+6x
−2x+−4=20+6x
−2x−4=6x+20
Step 2: Subtract 6x from both sides.
−2x−4−6x=6x+20−6x
−8x−4=20
Step 3: Add 4 to both sides.
−8x−4+4=20+4
−8x=24
Step 4: Divide both sides by -8.
−8x/−8=24/−8
x=−3
Answer:
x=−3
3. (x/4)*(4)=(9)*(4)
x=36
Answer:
x=36
4.
2(5x−1)=3x+5
Step 1: Simplify both sides of the equation.
2(5x−1)=3x+5
(2)(5x)+(2)(−1)=3x+5(Distribute)
10x+−2=3x+5
10x−2=3x+5
Step 2: Subtract 3x from both sides.
10x−2−3x=3x+5−3x
7x−2=5
Step 3: Add 2 to both sides.
7x−2+2=5+2
7x=7
Step 4: Divide both sides by 7.
7x/7=7/7
x=1
Answer:
x=1
5.
8−2(3x−4)+2x=5(x+6)+4
Step 1: Simplify both sides of the equation.
8−2(3x−4)+2x=5(x+6)+4
8+(−2)(3x)+(−2)(−4)+2x=(5)(x)+(5)(6)+4(Distribute)
8+−6x+8+2x=5x+30+4
(−6x+2x)+(8+8)=(5x)+(30+4)(Combine Like Terms)
−4x+16=5x+34
−4x+16=5x+34
Step 2: Subtract 5x from both sides.
−4x+16−5x=5x+34−5x
−9x+16=34
Step 3: Subtract 16 from both sides.
−9x+16−16=34−16
−9x=18
Step 4: Divide both sides by -9.
−9x/−9=18/−9
x=−2
Answer:
x=−2
Rational numbers are numbers which can be written as a fraction (the formula is p/q). They don't include roots we can't solve in order to get a whole number and pi.
A. 776, pi, 25.209, √9 ---> NO (because of pi)
B. 726, 7/34, 20.209, √9 ---> YES
C. √3, 7/39, 20.3, √9 ---> NO (because of √3)
D. 726, 7/34, 20.209, √5 ---> NO (because of √5
Note that √9 = 3, so it IS a rational number.
Yes it is a perfect square!!
