Answer:
x=35 y=21
Step-by-step explanation:
x:y=5:3 x is in the 5 times table and y is in the 3 times table both of them added are in the 8 times table
8*<u>7</u>=56
7*5=35
7*3=21
21+35=56
Answer:
k=61, l=61, m58
Step-by-step explanation:
5x+21=2x+45
3x=24
x=8
Answer:
7 1/5 pounds in each basket
Step-by-step explanation:
Original pounds of onion = 9 3/5
New pounds of onion = 4 4/5
The onions then were mixed and kept in 2 baskets with each basket having equal pounds on onions
Total onions = Original pounds of onion + New pounds of onion
= 9 3/5 + 4 4/5
= 48/5 + 24/5
= 48+24/5
= 72 / 5 pounds
How many pounds of onions does each basket contain?
Pounds in each basket = Total pounds /2 basket
= 72/5 ÷ 2
= 72/5 × 1/2
= 72 / 10
= 7 2/10
= 7 1/5 pounds in each basket
Answer:
x = 12
Step-by-step explanation:
Solve for x:
(5 x)/6 + 4 = x + 2
Put each term in (5 x)/6 + 4 over the common denominator 6: (5 x)/6 + 4 = (5 x)/6 + 24/6:
(5 x)/6 + 24/6 = x + 2
(5 x)/6 + 24/6 = (5 x + 24)/6:
(5 x + 24)/6 = x + 2
Multiply both sides by 6:
(6 (5 x + 24))/6 = 6 (x + 2)
(6 (5 x + 24))/6 = 6/6×(5 x + 24) = 5 x + 24:
5 x + 24 = 6 (x + 2)
Expand out terms of the right hand side:
5 x + 24 = 6 x + 12
Subtract 6 x from both sides:
(5 x - 6 x) + 24 = (6 x - 6 x) + 12
5 x - 6 x = -x:
-x + 24 = (6 x - 6 x) + 12
6 x - 6 x = 0:
24 - x = 12
Subtract 24 from both sides:
(24 - 24) - x = 12 - 24
24 - 24 = 0:
-x = 12 - 24
12 - 24 = -12:
-x = -12
Multiply both sides of -x = -12 by -1:
(-x)/(-1) = 12
(-1)/(-1) = 1:
Answer: x = 12
The answer is choice B
The point (0,0) makes the first inequality true since
y >= x^2-4
0 >= 0^2-4
0 >= 0
is true
However, the point (0,0) does not make the second inequality true
y < 2x - 1
0 < 2(0) - 1
0 < -1
because 0 is not smaller than -1
