Let the two numbers be x and y.
Given,
x + y = 23
x = 23 - y
Also given,
y = 2x - 1
y= 2(23 -y) -1
y = 46 - 2y - 1
3y = 45
y = 15
x = 23 - y = 23 - 15 = 8
Hence, the two numbers are 15 and 8.
Answer:
The value of x is -6
Step-by-step explanation:
Let us equate the fraction by its equivalent
∵
= -22
→ Multiply both sides by (x - 10) to cancel the denominator of the left side
∴
× (x - 10) = -22 × (x - 10)
∴ 352 = -22(x - 10)
→ Simplify the right side by multiplying -22 by the bracket (x - 10)
∵ 352 = -22(x) - 22(-10)
∴ 352 = -22x + 220
→ Add 22x to both sides
∵ 22x + 352 = -22x + 22x + 220
∴ 22x + 352 = 220
→ Subtract 352 from both sides
∴ 22x + 352 - 352 = 220 - 352
∴ 22x = - 132
→ Divide both sides by 22 to find x
∴ 
∴ x = -6
∴ The value of x is -6
Answer:
the teacher bought 100 balloons, and 95 of them were left for the party.
Step-by-step explanation:
red balloons is given, 40.
first you find the green balloons.
<em>the number of green balloons is 3/5 the number of red balloons.</em>
3/5 * 40 = 24
so there are 24 green balloons.
next is yellow balloons.
<em>the number of green balloons is 2/3 the number of yellow balloons.</em>
24 = 2/3 * x
24 ÷ 2/3 = x
24 ÷ 2/3 = 36
there are 36 yellow balloons.
find the total balloons:
40 + 24 + 36 = 100
the teacher bought 100 balloons.
1/20 of the red balloons popped.
1/20 * 40 = 2
2 of the red balloons popped
1/12 of the green balloons popped
1/12 * 24 = 2
2 of the green balloons popped.
1/36 of the yellow balloons popped
1/36 * 36 = 1
1 yellow balloon popped
2 + 2 + 1 = 5
100 - 5 = 95
there were 95 balloons left for the party.
30 inches.
When trying to find the perimeter of a rectangle, add the lengths of all of the sides. So, 5 + 5 + 10 + 10 = 30.
Answer:
2 fl oz
Step-by-step explanation:
2 tbsp = 1 fl oz. Simply double.