Combining like terms

simplify each expression
4n - n

An algebraic expression with a quotient of [tex]x^{5}[/tex] is [tex]\frac{x^{7} }{x^{2} }[/tex] and An algebraic expression with a product of [tex]x^{5}[/tex] is [tex]x^{3}\times x^{2}[/tex].

We need to write two algebraic expressions, one with a quotient of [tex]x^{5}[/tex] and one with a product of [tex]x^{5}[/tex].

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Now, an algebraic expression with a quotient of [tex]x^{5}[/tex] is

[tex]\frac{x^{7} }{x^{2} } =x^{7-2}=x^{5}[/tex]  (∵[tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex])

An algebraic expression with a product of [tex]x^{5}[/tex] is

[tex]x^{3}\times x^{2} = x^{3+2}=x^{5}[/tex]

Therefore, an algebraic expression with a quotient of [tex]x^{5}[/tex] is [tex]\frac{x^{7} }{x^{2} }[/tex] and An algebraic expression with a product of [tex]x^{5}[/tex] is [tex]x^{3}\times x^{2}[/tex].

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a)If Maya collected 4/20 lb of aluminum and her friend Abigail collected 7/8 lb Abigail collected more aluminum.

b) 43/40 lb of aluminum the two girls collect.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, in the first week, Maya collected 4/20 lb of aluminum, and her friend Abigail collected 7/8 lb.

We have to simplify the expression,

Maya collected 0.2 lb of aluminum, and her friend Abigail collected 0.875 lb.

From the given fraction it is obtained as Abigail collected more aluminum.

The amount  of aluminum did the two girls collect is,

=4/20+ 7/8

=43/40

Thus, If Maya collected 4/20 lb of aluminum and her friend Abigail collected 7/8 lb Abigail collected more aluminum and 43/4 lb of aluminum than the two girls collect.

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Answer:

111.1

Step-by-step explanation:

1 quart = 2 pints

720/2 = 360 quarts per hour

1 hour = 60 minutes

360/60 = 6 quarts per minute

To convert 720 pints per hour to quarts per minute, divide the number of pints (720) by 2 to get quarts per hour (360), then divide by 60 minutes to find quarts per minute, resulting in 6 quarts per minute.

To convert 720 pints (pt) per hour to quarts (qt) per minute, first, we need to understand the relationship between pints and quarts. 1 quart is equal to 2 pints.

Therefore, to convert pints to quarts, we would divide the number of pints by 2. We also need to convert from per hour to per minute. Since there are 60 minutes in an hour, we divide the per-hour quantity by 60 to find the per-minute quantity.

Here's the step-by-step conversion:

Start with 720 pints per hour.

Since 1 quart is equal to 2 pints, divide 720 by 2 to convert to quarts. 720  2 = 360 quarts per hour.

To convert quarts per hour to quarts per minute, divide by 60 (since there are 60 minutes in an hour). 360   60 = 6 quarts per minute.

Therefore, 720 pints in an hour is equivalent to 6 quarts per minute.

Answer:

there is only 40 num so i did 40 num

Step-by-step explanation:

√y=20

squaring both side

y=20²

y=400

Answer:

(A) Angles in equilateral triangle are congruent

Step-by-step explanation:

From the figure, it can be seen that in triangle ABD, [tex]AB=BD=AD[/tex] which means that all the sides of the triangle are congruent and by the definition of equilateral triangle, ΔABD will be an equilateral triangle.

Therefore, Using the property that Angles in equilateral triangle are congruent, we can find the value of x.

Thus, option A is correct.

Answer:

the person above me is correct

The answer is 15x-5y=1.

Answer:

weed-hand

y=63x

$1,512.00

Step-by-step explanation:

Answer:

third option, second option, then first option

Step-by-step explanation:

just took the assignment

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Distributive property which is expressed as

[tex]a\times (b+c)\\\\=a\times b+a\times c[/tex]

Similarly, in option 'A', we have

(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2) ​

Here, a = 0.5,

b= 0.5

c = 0.3

d = 0.2

So, it can be expressed as

[tex]a\times (b+c+d)=a\times b+a\times c+a\times d[/tex]

Hence, Option 'A' is correct.

Final answer:

There are 30 students in total, 12 of whom play an instrument, and 25 of whom play a sport.

Explanation:

The question asks about the number of students who play an instrument and the number who play a sport. There are 30 students in total.

To find the number of students who play an instrument, we multiply 30 by ⅓ (2/5), since 2/5 of the students play an instrument. To find the number of students who play a sport, we multiply 30 by ⅕ (5/6), since 5/6 of the students play a sport.

For the instrument calculation: 30 × 2/5 = 12, so 12 students play an instrument.

For the sport calculation: 30 × 5/6 = 25, so 25 students play a sport.

1. 1 5/8 / -1 3/5 = -25/24 = -1 1/24

2. -5 1/3 / 2 3/4 = 10/9 = -1 1/9

Final answer:

To find the sum of 1/4(q-12)+1/3(q+9), distribute the fractions, combine like terms, and simplify to get the final answer of 7/12q.

Explanation:

The question requires finding the sum of two algebraic expressions involving the variable q. To solve this, we need to combine like terms after distributing the fractions through the parentheses. Here's the process:

Distribute 1/4 through (q-12): 1/4 * q - 1/4 * 12 = 1/4q - 3.

Distribute 1/3 through (q+9): 1/3 * q + 1/3 * 9 = 1/3q + 3.

Add the results together: 1/4q - 3 + 1/3q + 3.

Combine like terms: To add 1/4q and 1/3q you need a common denominator. The common denominator for 4 and 3 is 12, so convert fractions: 3/12q + 4/12q = 7/12q.

Combine constants: -3 + 3 = 0, so they cancel out.

The final answer is 7/12q.

Therefore, the simplified form of 1/4(q-12)+1/3(q+9) is 7/12q.

Answer:Its B

-3

Step-by-step explanation: