Answer:
the answer is 4
Step-by-step explanation:
i did the equation and reduced to x=4
Answer:
120 pounds
Step-by-step explanation:
Since the new cost is 144 pounds and this is 20% more, this is 120% of the original price. Remember 100+20 = 120. To find the original price set up a proportion with these values:
Solve for the original price by cross multiplying numerator with denominator.
x(120) = 144(100)
120x = 14400
x= 120 pounds
Answer:
684 minutes to listen to every song in the MP 3 player.
Step-by-step explanation:
MP 3 player has 228 songs on it.
It takes 3 minutes to listen to each song.
So, she takes 228*3 =684 minutes to listen to every song in the MP 3 player.
Answer:
5
Step-by-step explanation:
Refer to attachment for marking of sides.
In the given figure , ∆ABC , ∆ABD and ∆ADC are right angled triangles . Therefore here we can use the Pythagoras theorem , as ,
base² + perpendicular² = hypotenuse ² .
<u>•</u><u> </u><u>In </u><u>∆</u><u>A</u><u>B</u><u>D</u><u> </u><u>,</u><u> </u><u>we </u><u>have</u><u> </u><u>;</u>
AB² + BD² = AD²
AB² + x² = 10²
AB² = 10² - x²
AB² = 100 - x²
<u>•</u><u> </u><u>Again</u><u> </u><u>in </u><u>∆</u><u>A</u><u>D</u><u>C</u><u> </u><u>,</u><u> </u><u>we </u><u>have</u><u> </u><u>;</u>
AC² + AD² = CD²
AC² = 20² - 10²
AC² = 400 - 100
AC² = 300
<u>Again</u><u> </u><u>in </u><u>∆</u><u>A</u><u>B</u><u>C</u><u> </u><u>,</u><u> </u><u>we </u><u>have</u><u> </u><u>,</u>
AC² = AB² + BC²
Substituting the values from above ,
300 = 100-x² + (20-x)²
300 = 100 - x² + 400 + x² - 40x
40x = 500 - 300
40x = 200
x = 200/40
x = 5
<h3>
Hence the required answer is 5 .</h3>
Answer:
3.5 fluid ounces
Step-by-step explanation:
In this question, we are asked to calculate the capacity in fluid ounce of a cone-shaped cup.
To solve this, we need to calculate the volume of the cup.
Mathematically, the volume of a cone =
1/3 * π * r^2 * h
Where r = d/2 = 2.7/2 = 1.35 inches
h = 3.3 inches
By substituting this, we have
V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inch
Now we proceed to calculate the capacity
From the question, we are told that ;
1 fluid ounce = 1.8 cubic inch
This means
x fluid ounce = 6.3 cubic inch
x = 6.3/1.8
x = 3.5 fluid ounces