Answer:
x = 1
GF = 12
GH = 15
FH = 3
Step-by-step explanation:
G___F___H
GH = GF + FH
11x +4 = ( 3x +9) + (5x-2)
11x+4= 8x + 7
11x - 8x = 7-4
3x = 3
x =3/3
x = 1
GF = 3x + 9 = 3(1)+9=3+9=12
GH = 11x +4= 11(1)+4=11+4 = 15
FH = 5x - 2 = 5(1) - 2 = 5 - 2 = 3
I hope I helped you^_^
Answer:
The numbers are 11 and 49.
Step-by-step explanation:
<em>x = 5y - 6 </em> This is just the first sentence written as an equation.
<em>x + y = 60</em> This is just the second sentence written as an equation.
<em>5y - 6 + y = 60</em> Substitute x for what you know it is equal to
<em>6y - 6 = 60</em> Collect like terms
<em>6y = 66</em> Add 6 to each side
<em>y = 11</em> Divide each side by 6
<em>x = 5 × 11 - 6 </em> Substitute y for what you know it is
<em>x = 55 - 6</em> Simplify by working out 5 × 11 = 55
<em>x = 49</em> Subtract 6 from 55 to get 49
Answer: 1/4 full.
Step-by-step explanation:
The question is asking for how much gas will be left in the tank after 2/3 of the gas in the tank is used.
There is currently 3/4 of the tank remaining.
To find 2/3 of 3/4, you can multiply the fractions together.
Do this by multiplying both numerators and both denominators:
Then, subtract 6/12 from 3/4. You can do this by simplifying the first fraction to 2/4 (divide both the numerator and denominator by 3).
3/4 - 2/4 = 1/4
There will be 1/4 of the tank left.
Answer:
value of k = 6
Step-by-step explanation:
sum of all angles forming a straight line = 180°
so,
- 7k + 8 + 90 + 40 = 180
- 7k + 138 = 180
- 7k = 180 - 138
- 7k = 42
- k = 42/7
- k = 6
hence the value of k = 6
Area of a square quilt = 289 square inches
Area of a smaller square quilt = 121 square inches
Area of a square = a²
Side length of big square quilt = √289 in² = 17 inches
side length of small square quilt = √121 in² = 11 inches
Perimeter of big square = 17 inches * 4 = 68 inches
perimeter of small square = 11 inches * 4 = 44 inches
difference = 68 inches - 44 inches = 24 inches.
