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Bess [88]
4 years ago
13

Solve the exponential equation:

Mathematics
1 answer:
seraphim [82]4 years ago
6 0

Step-by-step explanation:

2⁵ˣ = 8ˣ⁺²

2⁵ˣ = (2³)ˣ⁺²

2⁵ˣ = 2³ˣ⁺⁶

5x = 3x + 6

2x = 6

x = 3

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Carlota bought 5 slices of pizza and h hamburgers. The cost of a slice of pizza is $p and a hamburger is $3 more than a slice of
Charra [1.4K]

\text{The expression is representing the cost of a hamburger}\\\\\text{We know that from the question that the cost of a pizza slice}\\\text{is represented as "p", and the hamburger costs 3 more dollars}\\\text{than a pizza slice.}\\\\\text{So you're adding 3 dollars to the cost of the pizza to get the cost of a}\\ \text{hamburger}\\\\\text{Therefore, (p+3) = cost of hamburger}

4 0
3 years ago
What is the number of ways to arrange 8 objects from a set of 12 different<br> objects?
Alenkinab [10]

Answer:

19958400 ways

Step-by-step explanation:

As the question involves arrangement, permutation will be used.

P(n,r) = n! / (n-r)!

Here

n=12

and

r = 8

So,

P(12,8) = 12!/(12-8)!

= 12!/ 4!

=19958400 ways

Therefore, the 8 objects from 12 can be arranged in 19958400 ways ..

6 0
3 years ago
For each question, factor completely and choose
nikklg [1K]

Answer:

question no:3

Step-by-step explanation:

here

= x^2 + 5x - 300

= x^2 +(20-15)x -300

= x^2 + 20x - 15x - 300

= x(x+20) -15(x+20)

= (x+20) (x - 15)

7 0
2 years ago
Intersecting lines and proofs
ehidna [41]
Answer is B.

hope it helps
4 0
3 years ago
New York City is a popular field trip destination. THis year the senior class at High School A and the senior class at High Scho
maw [93]

Answer:

number of students in a van=12

number of students in a bus=52

Step-by-step explanation:

let number of students in a van=x

number of students in a bus=y

1x+6y=324     ...(1)

9x+3y=264   ...(2)

multiply (2) by 2

18x+6y=528   ...(3)

(3)-(1) gives

17x=204

x=204/17=12

put in (1)

12+6y=324

6y=324-12=312

y=312/6=52

8 0
3 years ago
Read 2 more answers
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