Question

every problem must have work or an explanation for credit.

1. which expression is equivalent to 45 ÷ (6 + m)? 6.7d

a. (6 + m) ÷ 45
b. 45 ÷ (m + 6)
c. (6 ÷ 45) + m)
d. 45 ÷ 6 + 45 ÷ m)

1. steve attends 24 of the 30 days offered for soccer practice. what decimal is equivalent to the fraction of days steve attends soccer practice?
2. which expression has a value of -15? 6.3d show work

a. -2(5) - (-5) c. (20 ÷ -2) - 5
b. -3 + 4(4) d. (-10 ÷ -5) - (-13)

1. the elevation of city a is -23 feet. the elevation of city b is 12 feet. what is the difference in elevation between city a and city b?
2. which graphic organizer correctly groups the following numbers? 6.2a

3.4 -2 3 -1.2
four graphic organizers are shown here, omitted as per instruction

1. which point best represents |-5|? 6.2c absolute value

number line with points w, x, z, u, y at -8, -4, -2, 5, 7 (approx) on a number line from -10 to 10
a. point w
b. point x
c. point u
d. point y

Explanation:

Step1: Solve Q5 (Equivalent Expression)

Use commutative property of addition: $a+(b+c)=a+(c+b)$.
$45 + (6 + m) = 45 + (m + 6)$

Step2: Solve Q6 (Fraction to Decimal)

Simplify fraction, divide numerator by denominator.
$\frac{24}{30} = \frac{4}{5} = 4 \div 5 = 0.8$

Step3: Solve Q7 (Evaluate Expressions)

Calculate each option:
A. $-2(5)-(-5) = -10 + 5 = -5$
B. $-3 + 4(4) = -3 + 16 = 13$
C. $(20 \div -2) - 5 = -10 - 5 = -15$
D. $(-10 \div -5)-(-13) = 2 + 13 = 15$

Step4: Solve Q8 (Elevation Difference)

Subtract lower elevation from higher elevation.
$12 - (-23) = 12 + 23 = 35$

Step5: Solve Q9 (Number Classification)

Classify numbers: Whole numbers (3), Integers (-2, 3), Rational numbers (3.4, -2, 3, -1.2). Match to correct organizer (Option A: Rational numbers: 3.4, -1.2; Integers: -2; Whole numbers: 3)

Step6: Solve Q10 (Absolute Value)

Calculate absolute value: $|-5| = 5$, which matches Point U.

Answer:

1. b. $45 + (m + 6)$
2. $0.8$
3. C. $(20 \div -2) - 5$
4. 35 feet
5. Option A (Rational numbers: 3.4, -1.2; Integers: -2; Whole numbers: 3)
6. C. Point U