Answer:
C, E, D
Step-by-step explanation:
A "unit rate" is a rate that has 1 unit in the denominator. Here, the rates are all given in terms of the number of apples in 1 basket. (The 1 basket is the 1 unit.)
<h3>Application</h3>
When rates are given with some number of units other than 1 in the denominator, divide the numerator by the denominator to find the unit rate.
Here, the unit rates are all more than one apple in each basket, so the number of apples must be a multiple of the number of baskets. Phrases "A" and "B" both have more baskets than apples, so will not be used.
C: (304 apples)/(8 baskets) = (304/8) apples/basket = 38 apples/basket
D: (294 apples)/(7 baskets) = (294/7) apples/basket = 42 apples/basket
E: (405 apples)/(9 baskets) = (405/9) apples/basket = 45 apples/basket
<h3>Matching</h3>
(38 apples)/(1 basket) = C: 38 apples/basket
(45 apples)/(1 basket) = E: 45 apples/basket
(42 apples)/(1 basket) = D: 42 apples/basket
Answer:
14 and 22
Step-by-step explanation:
x-1st number
36-x is 2nd number
2x-(36-x)=6
2x-36+x=6
3x=42
x=14--->1st number
36-14=22--->2nd number
To check: 2times14-(36-14)=6; 6=6
Answer:
-2/3
Step-by-step explanation:
Hope this helped.
Answer:
4x+20=
6x-10
Step-by-step explanation:
Simplifying: 4x + 20 = 6x + -10
Reorder the terms: 20 + 4x = 6x + -10
Reorder the terms: 20 + 4x = -10 + 6x
Solving: 20 + 4x = -10 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation: 20 + 4x + -6x = -10 + 6x + -6x
Combine like terms: 4x + -6x = -2x: 20 + -2x = -10 + 6x + -6x
Combine like terms: 6x + -6x = 0: 20 + -2x = -10 + 0: 20 + -2x = -10
Add '-20' to each side of the equation: 20 + -20 + -2x = -10 + -20
Combine like terms: 20 + -20 = 0: 0 + -2x = -10 + -20: -2x = -10 + -20
Combine like terms: -10 + -20 = -30: -2x = -30
Divide each side by '-2': x = 15
Simplifying: x = 15
Answer:
∠ PQR = 55°
Step-by-step explanation:
∠ QPR = 74° ( vertical angles )
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180°
∠ PQR = 180° - (74 + 51)° = 180° - 125° = 55°
