Answer:
11/24
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator. Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1. The two fractions now have like denominators so you can subtract the numerators.
This fraction cannot be reduced.
Therefore the answer is 11/24
answers
1) 70
2) 3,840
3) 24
4) 72
<u>Explanation</u>
Q1
The surface area of a cone is given by;
S.A = 2Πrl + Πr²
Where r is the radius of the base and l is the lateral height.
Πr² = area of the base = 20 in²
2Πrl = Area of the lateral surface
= 2.5 × 20
= 50
Area of the cone = 50 + 20
= 70 in²
Q2
The sides of the Pythagorean triangle with legs of 12 and 16.
The 3rd side will be;
c = √(12² + 16²)
= √400 = 20
Volume = 12 × 16 × 20
= 3,840
Q3
The volume of a cone is given by;
volume = 1/3 Π r² h
This shows that the volume of a cone is a third the volume of the cylinder.
∴ Volume of the cylinder = 12 × 3
= 24 ft³
Q4
The volume of any regular figure is;
Volume = base area × height
When the dimensions area usually 3. Let these dimensions be x, y and z.
∴ volume = x × y × z = 9
Doubling the dimensions;
Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9
= 8 × xyz = 8 × 9
= 72 ft²
There is multiple possibilities:
<span>1050 equals 1 times 1050
1050 equals 2 times 525
1050 equals 3 times 350
1050 equals 5 times 210
1050 equals 6 times 175
1050 equals 7 times 150
1050 equals 10 times 105
1050 equals 14 times 75
1050 equals 15 times 70
1050 equals 21 times 50
1050 equals 25 times 42
1050 equals 30 times 35
1050 equals 35 times 30
1050 equals 42 times 25
1050 equals 50 times 21
1050 equals 70 times 15
1050 equals 75 times 14
1050 equals 105 times 10
1050 equals 150 times 7
1050 equals 175 times 6
1050 equals 210 times 5
1050 equals 350 times 3
1050 equals 525 times 2
1050 equals 1050 times 1</span>
Answer: the cube root of 512 is 8.
Step-by-step explanation:
First divide 512 and take the least factors as I have shown,
512= 2×2×2×2×2×2×2×2×2
Now, make the triple twins of these factors,
(2×2×2)(2×2×2)(2×2×2)
Now, take one number from each pair and multiply them,
2×2×2=8
Therefore, the answer of the cube root of 512 is 8.
Answer: the number of tiles will be 49
Step-by-step explanation:
Let x represent the number of tiles that Joshua can buy at either stores.
one store for $0.99 per tile but he he will have to rent a tile saw for $25. Let the total cost of buying x tiles in this store be y. Therefore
y = 0.99x + 25
At another store, he can buy a tile for $1.50 per tile and borrow a tile saw for free. Let the total cost of buying x tiles in this store be z. Therefore
z = 1.5x
To determine the number of tiles for which both costs will be the same, we will equate y to z. It becomes
0.99x + 25 = 1.5x
1.5x - 0.99x = 25
0.51x = 25
x = 25/0.51
x = 49
