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yarga [219]
4 years ago
11

Are the two terms on each tile like terms? Sort the tiles into the appropriate categories.

Mathematics
1 answer:
Basile [38]4 years ago
5 0

Answer:

Like terms: -7y^2 and y^2, 0.5kt and -10kt, 6 and 9

Not like terms: -4p and p^2, 5x and 5, 3ad and 2bd

Step-by-step explanation:

Two or more terms are called like terms if they have same variables and powers.

-7y^2 and y^2 are like terms because they have same variable y with same power 2.

-4p and p^2 are not like terms because they have same variable y with different powers.

0.5kt and -10kt are like terms because they have same variables kt with same power 1.

6 and 9 are like terms because both are constant.

5x and 5 are not like terms because one have variable and other is constant.

3ad and 2bd are not like terms because they have different variables.

Like terms: -7y^2 and y^2, 0.5kt and -10kt, 6 and 9

Not like terms: -4p and p^2, 5x and 5, 3ad and 2bd

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Lewis has a bag of colored marbles. The bag contains 24 red marbles , 36 blue marbles , and 60 yellow marbles. What are the rati
leva [86]

Answer:

Step-by-step explanation:

The total number of marbles is 24 + 36 + 60 = 120

Red: 24/120 = 1/5

Blue: 36/120 = 6/20 = 3/10

Yellow: 60 / 120 = 1/2

4 0
3 years ago
NEED HELP ASAP SHOW WORK AND PLZ EXPLAIN
Rainbow [258]

Answer:

x = 12

Step-by-step explanation:

Given

4(x - 5) = 8x + 4 - 6x ← distribute left side and simplify right side

4x - 20 = 2x + 4 ( subtract 2x from both sides )

2x - 20 = 4 ( add 20 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

3 0
3 years ago
What is the inverse of the following function? <br> y= 2^x + 3
fiasKO [112]

Answer:

Option B: y=log_2(x-3)

Step-by-step explanation:

To obtain the inverse of the function y= 2^x + 3, you need to solve the equation for the variable "x":

y= 2^x + 3\\\\y-3=2^x\\\\log_2(y-3)=log_2(2^x)\\\\x=log_2(y-3)

Now you need to exchange the variable "x" with the variable "y". Then:

y=log_2(x-3)

Finally, you get that the inverse of the function y= 2^x + 3 is:

y=log_2(x-3)

This matches with the option B.

8 0
3 years ago
A song has 28 beats in 4 second how many beats are in 30 soconds
Rzqust [24]
28 times 7.5 (30 divided by 4) = 210 :)
6 0
3 years ago
Read 2 more answers
A student solves the following equation and determines that the solution is −2. Is the student correct? Explain. 3 a + 2 − 6a a2
Ganezh [65]

For this case, we have the following equation (according to the comments):

\frac{3}{a+2} - \frac{6a}{a^2-4}  = \frac{1}{a-2}

First, we factor the quadratic expression in the denominator:

\frac{3}{a+2} - \frac{6a}{(a-2)(a+2)}  = \frac{1}{a-2}

Then, we multiply both sides of the equation by (a-2) (a + 2):

\frac{3(a-2)(a+2)}{a+2} - \frac{6a(a-2)(a+2)}{(a-2)(a+2)}  = \frac{(a-2)(a+2)}{a-2}

Later, canceling similar terms we have:

3(a-2) - 6a = a+2

We do distributive property on the left side of the equation:

3a-6-6a=a+2

By grouping variables and constant terms we have:

3a - 6a -a = 2+6

Rewriting we have:

-4a=8

Finally, by clearing "a" we have:

a=-\frac{8}{4} a=-2

Note: the value of a is a extraneous solution because it makes the denominator of the original equation equal to zero.

Answer:

the student correct, but the value of a= -2 is an extraneous solution

8 0
4 years ago
Read 2 more answers
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