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d1i1m1o1n [39]
3 years ago
13

Simplify: 3(2x-y)-(5x+4y-2) Please show steps

Mathematics
2 answers:
il63 [147K]3 years ago
7 0

Answer:

6 x ^2 − 5 x y − 4 y ^2

Step-by-step explanation:

Expand  

( 2 x + y ) (3 x − 4 y )

using the FOIL Method.

Apply the distributive property.

2 x ( 3 x − 4 y ) + y ( 3 x − 4 y )

Apply the distributive property.

2 x ( 3 x )+ 2 x (− 4 y ) + y ( 3x − 4 y )

Apply the distributive property.

2 x ( 3 x ) + 2 x( − 4 y ) + y ( 3 x) + y ( −4 y )

Simplify and combine like terms.

6 x ^2 − 5 x y − 4^ 2

Gemiola [76]3 years ago
6 0

Step-by-step explanation:

so it is 3×2=6 3×y=3y so here it 6-3 =3

5+4=9-2=7

so 7-3=4

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Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th gr
julia-pushkina [17]

Answer:

A. 36

Step-by-step explanation:

We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given

176 - 140 = 36

This is how we came to the answer:

We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.

While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny

Oliver's Interviewees

10-graders

Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

70% of 176 =

Cross multiply

123.2 were 10-graders interviewed by Oliver

9th-graders

Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

30% of 176 =

 

Cross multiply

52.8 were 9th-graders interviewed by Oliver

Jenny's Interviewees

9th-graders

Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;

75% of 140 =

 

Cross multiply

105 students were 9th-graders interviewed by Jenney.

10th-graders

Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;

25% of 140 =  

 

Cross multiply  

35 students were 10th-graders interviewed by Jenney.  

Total calculation

Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;

Oliver's 9th-grade = 52.8

Jenny's 9th-grade = 105

105 + 52.8 = 157.8

Oliver's 10th-grade = 123.2

Jenny's 10th-grade = 35

123.2 + 35 = 158.2

Total calculation: 158. 2 - 157.8 = 0.4

Therefore, there are 36 more 10th than 9th.

For more information, visit: brainly.com/question/23490909

7 0
3 years ago
How would you write apples grow on trees in conditional statements?
MariettaO [177]
If it is an apple, then it grows on trees.
4 0
3 years ago
Judy is pulling on a trunk with a 12-N force. Ike pulls at right angles to Judy. With how much force must Ike pull to make the r
Ratling [72]
To understand the problem, let's first draw a free body diagram of the forces exerted by Judy and Ike on the truck. (Refer to the left side of the attachment).

To solve for the resultant, we just use the tip-to-tail method. This is illustrated on the right side of the attachment.

We can see that the tip-to-tail method forms a right triangle thus we can just apply the Pythagorean theorem in solving for Ike's force.

20^{2} = 12^{2} + F^{2}
400 = 144 + F^{2}
256 = F^{2}
F = 16.0

ANSWER: Ike must pull the truck with a force of 16.0 N.

8 0
3 years ago
PLEASE HELP THIS IS DUE BY TOMORROW
Bezzdna [24]

Answer:b

Step-by-step explanation:

4 0
3 years ago
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s
earnstyle [38]
According to the Fundamental Theorem of Algebra, the number of zeros or roots of the equation is equal to the highest degree among the terms. So with the given real roots 4, and  -8 <span>the order should be 2 or a binomial. We expound (x-4) * (x+8)  to give </span><span> x2 + 4x - 32 = 0</span>
5 0
4 years ago
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