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nekit [7.7K]
3 years ago
13

(10 POINTS AND BRAINLIEST FOR BEST). Last month Ben spent $380 on food and $420 on personal items.

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0

4000 is his total monthly balance.

420 + 380 = 800

800/4000 = 0.20

0.20 = 20%

He spent 20% of his monthly income on food and personal items.

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4. [4 pts] For any non-zero number a, one can explain why aº = 1 by the rules of exponents.
ozzi

Due to length restrictions, we kindly invite to read the explanation of this question to learn more on power properties.

<h3>How to understand power properties</h3>

Herein we must explain some properties of power expressions with integer exponents. A power of the form aᵇ is a product of the form a × a ×  a × a × ... × a, where a is repeated b times. a and b are the base and the exponent of the power.

First, we proceed to demonstrate that a⁰ = a:

a⁰            Given

a¹ ⁻ ¹        Existence of the additive inverse / Modulative property

a¹ · a⁻¹     Multiplication of powers of equal base

a¹ · (a¹)⁻¹   Power of a power / (- a) · b = - a · b

1               Existence of multiplicative inverse / Modulative property / Result

By definition of power, we find that a¹ as a is only only time.

To learn more on power properties: brainly.com/question/2499975

#SPJ1

6 0
2 years ago
14. Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet.
labwork [276]

Answer:

36

Step-by-step explanation:

3 0
3 years ago
a bag contains 50 marbles 10 of which are blue 8 are red 20 are green and 12 are purple marcie takes a marble out of the bag rec
Alik [6]
80 red marbles are expected

6 0
3 years ago
AB is tangent to circle O. Given that AO = 48 inches and BC = 25 inches, calculate AB.
Oxana [17]

Answer:

AB= 55

Step-by-step explanation:

48+25=73

48²+x²=73²

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2304+x²= 5329

-2304      -2304

x²= 3025

√3025=55

5 0
3 years ago
Mindy and Troy combined ate 99 pieces of the wedding cake. Mindy ate 33 pieces of cake and Troy had 1/4 of the total cake.
Harrizon [31]

99 \times 33
6 0
3 years ago
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