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Degger [83]
3 years ago
14

Copy the problems on to your paper. Use your notes as reference.

Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

1. x⁴³/³⁵

2. 1/x⁶

3. x⁴/2

Step-by-step explanation:

1. ⁷√x³. ⁵√x⁴

The above expression can be simplified as follow:

Recall:

ᵐ√aⁿ = aⁿ/ᵐ

⁷√x³ × ⁵√x⁴ = x³/⁷ × x⁴/⁵

Recall:

aⁿ × aᵐ = aⁿ⁺ᵐ

x³/⁷ × x⁴/⁵ = x⁽³/⁷ ⁺ ⁴/⁵⁾ = x⁴³/³⁵

Therefore,

⁷√x³. ⁵√x⁴ = x⁴³/³⁵

2. x¯³ / x⁵x¯²

The above expression can be simplified as follow:

Recall:

aⁿ × aᵐ = aⁿ⁺ᵐ

x⁵x¯² = x⁵ ⁺ ⁽¯²⁾ = x⁵ ¯ ² = x³

Thus,

x¯³ / x⁵x¯² = x¯³ / x³

Recall:

aⁿ / aᵐ = aⁿ ¯ ᵐ

x¯³ / x³ = x¯³ ¯ ³ = x¯⁶

Recall

a¯ⁿ = 1/aⁿ

x¯⁶ = 1/x⁶

Therefore,

x¯³ / x⁵x¯² = 1/x⁶

3. 5(x⁴)³ / 10x⁸

The above expression can be simplified as follow:

Recall:

(aⁿ)ᵐ = aⁿ×ᵐ

5(x⁴)³ / 10x⁸ = 5x¹² / 10x⁸

Recall:

aⁿ / aᵐ = aⁿ ¯ ᵐ

5x¹² / 10x⁸ = (5/10)x¹² ¯ ⁸ = 1/2 x⁴ = x⁴/2

Therefore,

5(x⁴)³ / 10x⁸ = x⁴/2

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If LK=MK, LK=7x-10,KN=x+3, MN=9x-11 and KJ=28 find LJ
beks73 [17]
Suppose J, K, L, M, N are points on the same line.

MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14

Since LK = MK and LK = 7x - 10, then

7x - 10 = 8x - 14

8x - 7x = -10 + 14

x = 4

LJ = MK + KJ

MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18

LJ = 18 + 28 = 46
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3 years ago
Tareq pays $22.10 for 2.6 pounds of salmon. what is the price per pound of the salmon?
Juliette [100K]
What i would do since $22.10 for 2.6 find out how much 1 pound of salmon is

so divide $22.10 by 2.6

which would equal $8.50

$8.50 per pound of salmon

hope this helped :>

7 0
3 years ago
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This box can be packed with 48 units cubes. The edge length of each unit cube is 1 meter. What is the volume of the box?
Dafna1 [17]

48 m³

Step-by-step explanation:

A cube has equal length width and height

A cube in this case has length 1m meaning the width and height are also 1 m each in length.

The volume of the cube is (L * W * H) =  1 * 1 * 1 = 1 m³

If 48 of these can fit in the bigger box, then the bigger box has the volume of;

48 * 1 m³ = 48 m³

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8 0
3 years ago
I can't find the answer for 46.3 divided by 1.5 Help!
Olenka [21]
46.3/1.5 = 30.87 or 1.5/46.3 = 0.034
Is that what your looking for??
8 0
2 years ago
Please help me find an equation for this
satela [25.4K]

Answer:

The equation that represents this situation is x + 3x + (x - 4) + 2(x - 4) = 72, where x is Erik's age

Step-by-step explanation:

Let us solve the question

Assume that Erik is x years old

∵ Erik is x years old

∵ Erik is \frac{1}{3} as old as Dawn

→ That means x = \frac{1}{3} Dawn

∴ x = \frac{1}{3} Dawn

→ Multiply both sides by 3

∴ 3x = Dawn

∴ Dawn is 3x years old

∵ Jiro is 4 years younger than Erik

→ That means Jiro = x - 4

∴ Jiro is (x - 4) years old

∵ Alita is 2 times as old as Jiro

→ That means Alita = 2 × (x - 4)

∴ Alita = 2 × (x - 4)

∴ Alita is 2(x - 4) years old

∵ The sum of all their ages is 72

→ That means add their ages and equate the sum by 72

∴ Erike's age + Dawn's age + Jiro's age + Alita's age = 72

∴ x + 3x + (x - 4) + 2(x - 4) = 72

The equation that represents this situation is x + 3x + (x - 4) + 2(x - 4) = 72, where x is Erik's age

4 0
3 years ago
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