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3 years ago

Select the factors of 10ax 5bx − 8ay − 4by.

Mathematics

2 answers:

Yakvenalex [24]3 years ago

4 0

10ax + 5bx - 8ay - 4by = 5x(2a + b) - 4y(2a + b) = (5x - 4y)(2a + b)
option d is the correct answer.

PolarNik [594]3 years ago

3 0

Answer:

Factors are (2a+b) and (5x-4y)

Option D is correct.

Step-by-step explanation:

Given: $10ax+5bx-8ay-4by$

Here we are four term to factor it.

First we make two group and factor each group.

$(10ax+5bx) + (-8ay-4by)$

$\text{Group 1: }10ax+5bx$

Taking 5x common from both term

$10ax+5bx\Rightarrow 5x(2a+b)$

$\text{Group 2: }-8ay-4by$

Taking -4y common from both term

$-8ay-4by\Rightarrow -4y(2a+b)$

Factor is:

$\Rightarrow 5x(2a+b)-4y(2a+b)$

$\Rightarrow (2a+b)(5x-4y)$

Hence, Factors are (2a+b) and (5x-4y)

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Thomas has $6.35 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many quar

mr Goodwill [35]

Answer:

He has 11 quarters

Step-by-step explanation:

* Lets study the information in the problem to solve it

- The value of dimes and quarters is $6.35

- There are dimes and quarters

- The dime = 10 cents

- The quarter = 25 cents

* We must change the money from dollars to cents

∵ $1 = 100 cents

∴ $6.35 = 6.35 × 100 = 635 cents

- The number of dimes = 3 + 3 × number of quarters

* Let number of dimes is D and number of quarter is Q

∴ D = 3 + 3Q

∴ 10D + 25Q = 635

* Substitute the value of D from first equation in the second equation

∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket

∴ 10(3) + 10(3Q) + 25Q = 635

∴ 30 + 30Q + 25Q = 635 ⇒ collect like terms

∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides

∴ 55Q = 605 ⇒ divide both sides by 55

∴ Q = 11

* He has 11 quarters

5 0

3 years ago

You have 3/4 of a bag of popcorn. You want to share them with you and your three friends. How much of the bag does each person g

zheka24 [161]

Answer:

1/4

Step-by-step explanation:

3 0

3 years ago

Which expression is represented by the diagram? o -6-(-1) o -6-1 o -5-(-1) o -5-1

cupoosta [38]

Option A:

–6 – (–1)

Solution:

Minus symbol are given in the diagram.

There are 6 minus symbol in the diagram.

From that expression 1 minus symbol is cancelled.

To find which expression represents this situation:

Option A: –6 – (–1)

Total number of minus = –6

From this cancel one minus: –6 – (–1)

–6 – (–1) = –6 + 1 = –5

So, remaining minus are –5.

This is the correct answer.

Option B: –6 –1

–6 –1 = –7

But note that remaining 5 minus are only there in the diagram.

So, this is not correct answer.

Option C: –5 – (–1)

Totally 6 minus in the problem. But here only 5 minus are given.

So, this is not correct answer.

Option D: –5 –1

Totally 6 minus in the problem. But here only 5 minus are given.

So, this is not correct answer.

Hence –6 – (–1) is the correct expression which represented the diagram.

8 0

3 years ago

Read 2 more answers

Write as a mathematical equation. The product of 5 and x is 25.

pickupchik [31]

answer:

5x=25

Divide 5 from both sides

5x/5=25/5

x=5

4 0

3 years ago

The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then a modification of (2), given

padilas [110]

Answer:

76.25°

Step-by-step explanation:

The solution to the differential equation is an exponential curve with a horizontal asymptote at Tm. It passes through (0, 145) and (30, 95), so the equation can be written as ...

T = 80 +65((95-65)/(145-65))^(t/30)

T = 80 +65(3/8)^(t/30)

That is, the temperature difference is reduced to 3/8 of its original value in 30 minutes.

Since the coffee in cup B cools twice as fast, it will cool to the same temperature (95°) in 15 minutes. In the next 15 minutes, the temperature difference will be reduced to (3/8)^2 of the original 80°, so will be 11.25°. That is, the temperature of cup B will be ...

11.25° +65° = 76.25°

after 30 minutes.

8 0

3 years ago