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3 years ago

When does expanding and simplifying a(b+c) result in a positive value for ac

Mathematics

1 answer:

TiliK225 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

(ab + bc)(ab + bc)

Simplifying

(ab + bc)(ab + bc)

Multiply (ab + bc) * (ab + bc)

(ab(ab + bc) + bc(ab + bc))

((ab * ab + bc * ab) + bc(ab + bc))

Reorder the terms:

((ab2c + a2b2) + bc(ab + bc))

(ab2c + a2b2 + (ab * bc + bc * bc))

(ab2c + a2b2 + (ab2c + b2c2))

Reorder the terms:

(ab2c + ab2c + a2b2 + b2c2)

Combine like terms: ab2c + ab2c = 2ab2c

(2ab2c + a2b2 + b2c2)

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What is the answer for the algebra equation Ab•2b

CaHeK987 [17]

Answer:

$\huge\bold\purple{ 2a•3b }$

3 0

3 years ago

25,000(4+3x) =125,000

Amanda [17]

To solve this equation, first we have to use the distributive property to eliminate the parentheses on the left side of the equation.

If done correctly, your simplified equation should be

100,000 + 75,000x = 125,000

Next, we would subtract 100,000 from both sides, resulting in the equation

75,000x = 25,000

Finally, we would divide both sides of the equation by 75,000, resulting in your final answer of

x= 25,000/75,000

However, many mathematics teachers ask for fractional answers to be simplified. To simplify fractions, we first find the GCF of both numbers, and then divide both the numerator and the denominator by the GCF.

The GCF of 25,000 and 75,000 is 25,000.

So, in simplest form, your final answer is

x=1/3

6 0

3 years ago

In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors.

Ray Of Light [21]

Answer:

Students : Counselors : Teachers = 285: 20 : 12

Step-by-step explanation:

In the camp, the ratio of:

( C: S ) Counselors : Students is 4 : 57

( T: C ) Teachers : Counselors is 3 : 5

To determine the ratio of - Students : Counselors : Teachers

Here given - C : S = 4 : 57

Multiplying both sides by 5, we get

C: S = 4 x 5 : 57 x 5 = 20 : 285

So, for every 20 counselors, there are 285 students ...... (1)

Similarly, given Teachers : Counselors is 3 : 5

Multiplying both sides by 4, we get

T : C = 3 x 4 : 5 x 4 = 12 : 20

So, for every 12 teachers, there are 20 Counselors ...... (2)

Hence, in both equation 1 and 2 the number of counselors is same = 20 .

Hence, both the ratios acne be combined.

So we get C : S = 20 : 285 and T : C = 12: 20

Inverting the values

⇒ S : C = 285 : 20 and C : T = 20 : 12

or, S : C : T = 285: 20 : 12

or, Students : Counselors : Teachers = 285: 20 : 12

Hence, for every 285 students there are 20 counselors and 12 teachers.

4 0

3 years ago

Can someone help me? It's urgent and thank you!

nordsb [41]

Answer:

the first one

Step-by-step explanation:

3 0

3 years ago

Is the area of ABC round to the nearest tenth

svlad2 [7]

Hi there!

Since we know that this is a right isosceles triangle, we can use the 45-45-90 relationship to figure out the missing side lengths. Using this relationship, we know that the two marked sides are both equal to 5 inches. Next, we need to use the formula to find the area of a triangle, which is A = 1/2(b * h). We know that the base of this triangle is 5, as is the height. All we need to do is plug in the numbers and solve: A = 1/2(5 * 5) | A = 1/2(25) | A = 12.5 inches^2.

Hope this helps!! :)
If something doesn't make sense or if there's anything else that I can help you with, please let me know!

5 0

3 years ago