The ratio of his savings: expenses = 7: 5
So, total of the ratio is = 7 +5 =12
His savings will be 7/12* allowance
His expenses will be 5/12 * allowance
We know that the allowance that he gets is $3
His savings = 7/12 * allowances
His savings = 7/12 * 3
His savings = $7/4 or 1 ¾
Now, we convert the 7/4 (or 1 ¾) into a decimal.
1 ¾ when converted is decimal is 1.75
His Savings = $1.75
Answer:
See below. No image this time.
Step-by-step explanation:
1.
- P(2, 8) → P'(-5, 1), which it went 7 units to the left, and 7 units down. Here is the equation: (x - 7, y - 7).
2.
- R(-4, -9) → R'(-4, -2), which went 7 units up. Here is the equation: (x, y + 7).
3.
- M(10, -3) → M'(3, 4), which went 7 units left, 7 units up. Here's the equation: (x - 7, y + 7).
4.
- K(7, 11) → K'(0, 11), which went 7 units left. Here is the equation: (x - 7, y).
Answer:
X = 2
Y = 1
The graph intersects at the exact point of (2,1)
Let, the height of the building be x ft.
Given the building casts 35ft shadow.
The height of the flagpole given which is 22ft and casts a shadow of 10ft.
Now to find the height of the building we have to equate the ratio of height and shadow of the building and the flagpole.
So we can write,
x/35 = 22/10
To find x, we have to get rid of 35 from the left side and have to move it to right side. As 35 is divided there, we will multiply 35 to both sides.
(x/35)× 35 = (22/10)×35
x = (22×35)/10
x = 770/10
x = 77
So, the height of the building is 77 ft which is the required answer here.
6% of $1,600 is = 96 if you multiple it with 180 : 96 × 180 = 17,280
