Answer:
Step-by-step explanation:
1) The solid is a cube. The formula for determining the volume of a cube is expressed as
Volume = s³
s = 5 cm
Therefore,
Volume = 5³ = 125 cm³
2) The solid is a cuboid. The formula for determining the volume of a cuboid is expressed as
Volume = lwh
l = 10 inches
w = 5 inches
h = 2 inches
Therefore,
Volume = 10 × 5 × 2 = 100 inches³
3) The solid is a square base pyramid. The formula for determining the volume of a square base pyramid is expressed as
Volume = Area of square base × height
Area of square base = 3² = 9 m²
h = 10 m
Volume = 9 × 10 = 90m³
B -4 is closer to zerowhich makes it bigger
Answer:
He has 11 quarters
Step-by-step explanation:
* Lets study the information in the problem to solve it
- The value of dimes and quarters is $6.35
- There are dimes and quarters
- The dime = 10 cents
- The quarter = 25 cents
* We must change the money from dollars to cents
∵ $1 = 100 cents
∴ $6.35 = 6.35 × 100 = 635 cents
- The number of dimes = 3 + 3 × number of quarters
* Let number of dimes is D and number of quarter is Q
∴ D = 3 + 3Q
∴ 10D + 25Q = 635
* Substitute the value of D from first equation in the second equation
∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket
∴ 10(3) + 10(3Q) + 25Q = 635
∴ 30 + 30Q + 25Q = 635 ⇒ collect like terms
∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides
∴ 55Q = 605 ⇒ divide both sides by 55
∴ Q = 11
* He has 11 quarters
Answer:
Step-by-step explanation:
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<span>b. 4+12÷2=4+6=10
c. (20–5)•3=15•3=45</span>
