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insens350 [35]
3 years ago
13

Help please with this

Mathematics
1 answer:
Anestetic [448]3 years ago
5 0

answer : am/b

Step-by-step explanation:

the rate of copying packets = a/b

each packet (a) contains *m* pages

total number of pages in all books together is =a×m

so the rate of copying of pages = a×m/b

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1-69.
timofeeve [1]

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

3 0
3 years ago
20% of what number is equal to 2/3 of 90?
blagie [28]
Let the number be x, then

1/5 * x = 2/3 * 90

1/5 x =  60

x = 60 * 5  = 300 (answer)
7 0
3 years ago
Jon has to pay $7.50 admission
lorasvet [3.4K]
Y=1.50x+7.50. 7.50 is the y intercept and 1.50 is the rate of change or slope
5 0
3 years ago
The product of two whole numbers is 608 and their sum is 51 .what are the two numbers ?
amid [387]

Answer:

The product of 19 and 32 is 608 and their sum adds up to 51.

The two numbers are: 19 and 32

3 0
2 years ago
Use the drawing tool(s) to form the correct answer on the provided graph. Graph the solution to this system of inequalities in t
Leya [2.2K]

The solution to the system of inequalities is (-3.375, 1.75)

<h3>How to graph the inequalities?</h3>

The system of inequalities is given as:

3y > 2x+12

2x+y < -5

Next, we plot the graph of the system using a graphing tool

From the graph, both inequalities intersect at

(-3.375, 1.75)

Hence, the solution to the system of inequalities is (-3.375, 1.75)

Read more about system of inequalities at:

brainly.com/question/19526736

#SPJ1

8 0
2 years ago
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