Answer:
£1290
Step-by-step explanation:
35%+40%= 75%
£600=25% £600÷20=30 25%of till = 30 notes 100%=120 notes
40% of 120 =48notes 48x10=£480
90notes-48notes=42notes
42x£5=£210
£600+£480+£210=£1290
At the end of the 3 hour period the temperature would have decreased by 6.75.
Answer:
13.20 teaspoon of fertiliser needed for entire garden.
Step-by-step explanation:
Diameter of the garden = 14.50 ft
Radius of the garden = 7.25 ft
Area
[tex]A=\pi r^2[/text]
[tex]A=\pi \times 7.25 \times 7.25[/text]
[tex]\pi=3.14[/text]
[tex]A=\pi \times 7.25 \times 7.25[/text]
[tex]A=3.14 \times 7.25 \times 7.25[/text]
Hence
[tex]A=165.046[/text]
Area is 165.046 Sq Ft
For 25 sq ft of fields the fertiliser needed = 2 tea spoon
For 1 sq ft of fields the fertiliser needed =
[tex]\frac{2}{25}[/text] tea spoon
For 165.046 sq ft of fields the fertiliser needed =
[tex]\frac{2 \times 165.046 }{25}[/text] tea spoon
For 165.046 sq ft of fields the fertiliser needed = 13.20 tea spoon
Answer:
The watermelon costs $4.45
Step-by-step explanation:
Hi there!
Let´s define the variables:
x = cost of the watermelon.
y = cost of the napkins.
z = cost of the paper plates.
We know that the sum of the 3 items costs 8.25 without taxes. Then:
x + y + z = 8.25
We also know that he paid 0.19 in total taxes and that the only items taxed at 5% are the napkins (y) and the paper plates (z). Then, 5% of the cost of the napkins plus 5% of the cost of the plates is 0.19:
0.05 y + 0.05 z = 0.19
If we divide both sides of this equation by 0.05, we will obtain:
y + z = 0.19/0.05
y + z = 3.8
Then, let´s replace y + z = 3.8 in the first equation and solve it for x:
x + y + z = 8.25 (y + z = 3.8)
x + 3.8 = 8.25
subtract 3.8 to both sides of the equation:
x = 4.45
The watermelon costs $4.45
Have a nice day!
Answer:
75°
Step-by-step explanation:
In a parallelogram, any two adjacent angles are supplementary. In other words, they total 180.
Angle D and Angle E are adjacent. Thus, they are supplementary. In other words:

Substitute them for the equations:

Combine like terms and add on the left:

Subtract 36 from both sides:

Divide both sides by 12:

Thus, the value of x is 12.
Note that Angle D and Angle C are also adjacent. Thus, their angles also equal 180.
So:

Substitute the equation for D:

Plug in 12 for x:

Simplify:

Subtract 105 from both sides:

Thus, Angle C is 75 degrees.