An inequality: a number sentence with ≤, ≥, <, >, = or <span>≠
</span>≤ means: <span>"less than </span>or equal to<span>"
</span>≥ means: <span>"greater than </span>or equal to<span>"
</span>< means: "less than"
> means: "greater than"
≠ means: "not equal to"
= means: "<span>equals"</span>
He can make 5 sculptures.
We divide the amount of clay, 14 pounds, by the amount it takes to make one sculpture, 2 4/5 pounds:
14 ÷ 2/45 = 14 ÷ 14/5 = 14/1 ÷14/5 = 14/1 × 5/14 = 70/14 = 5
Answer is d = 50.
Step by step. These are vertical angles so the (d + 70) will equal the opposite angle of 120.
Equation is d + 70 = 120.
Solve for d. Subtract 70 from both sides of the equal sign to solve for d.
d + 70 - 70 = 120 - 70
d = 50
The trick here is that both times, part of the weight is soup
and part of the weight is the empty metal can.
1/2 soup + MTcan = 5
1/3 soup + MTcan = 4
Before going any further, it will make it a lot easier later if we change
the fractions in both equations to a common denominator:
1/2 = 3/6
1/3 = 2/6
3/6 soup + 1 MTcan = 5
2/6 soup + 1 MTcan = 4
Subtract the 2nd equation from the 1st one:
1/6 soup = 1
Multiply each side by 6 : <u>1 soup = 6</u>
Substitute this in the first equation:
1/2 soup + 1 MTcan = 5
1/2 ( 6 ) + 1 MTcan = 5
3 + 1 MTcan = 5
Subtract 3 from each side: <u>1 MTcan = 2</u>
The empty can weighs 2.
All the soup it can hold weighs 6.
A full can of soup weighs (2 + 6) = <em><u>8</u></em>
