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3 years ago

Name the property the equation illustrates.

Mathematics

2 answers:

qwelly [4]3 years ago

6 0

Answer:

Option D is correct

Commutative Property of Addition

Step-by-step explanation:

Commutative property of addition states:

for any number x and x we have;

$x+y = y+x$

As per the statement:

Consider:

$8+3.4$

By commutative property of addition we get;

$3.4+8$

⇒ $8 + 3.4 = 3.4 + 8$

Therefore, the property the equation illustrates is, Commutative Property of Addition

grandymaker [24]3 years ago

5 0

Commutative property
a+b=b+a

D

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A fire engine starts pumping water at 9:20 am at the rate of 800 gallons per minute. Another fire engine, pumping at the rate of

AleksAgata [21]

Answer:

10:10 AM

Step-by-step explanation:

The first thing is to use an identical time variable for both cases, we will do it as follows:

Let t = number of minutes of pumping time of the first fire engine

Therefore, for the second fire truck it would be:

(t-10) = pumping time of the second fire engine, since it started 10 min after the first engine.

To find the value of t, we equalize the equations of the first engine and the second engine:

We know that the first one would be: 800 * t

And the second: 1000 * (t-10)

Thus

1000 * (t-10) = 800 * t

1000 * t - 10000 = 800t

1000 * t - 800 * t = 10000

200 * t = 10000

t = 10000/200

t = 50 minutes

In other words, 50 minutes after the first engine starts pumping, it equaled the second

To know the time they were matched it would be like this:

9:20 AM +: 50 = 10:10 AM

Therefore, at 10:10 AM both engines were matched.

To check the above we have to:

50 * 800 = 40000

40 * 1000 = 40000

Therefore, in that time, they were equalized.

4 0

3 years ago

Read 2 more answers

Find the value of a if given points are collinear (5,1) (3,2) and (1,a)

Ksenya-84 [330]

9514 1404 393

Answer:

a = 3

Step-by-step explanation:

The x-values 5, 3, 1 form an arithmetic sequence. The y-values will do the same: 1, 2, a = 1, 2, 3 -- a common difference of +1.

a = 3

8 0

3 years ago

For any perfect square trinomial (quadratic), the constant term (last term) must be positive.

Ronch [10]

Answer:

For the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

Step-by-step explanation:

"Perfect square trinomials" are termed as the quadratics that are the outcomes of squaring binomials.

For example:

$\left(x\:+\:3\right)^2$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2$

$a=x,\:\:b=3$

$=x^2+2x\cdot \:3+3^2$

$=x^2+6x+9$

Therefore, for the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

5 0

3 years ago

What is the solution for the following system of equations? 5x + 7y = 3 2x + 3y = 1

spayn [35]

A) 5x + 7y = 3
B) 2x + 3y = 1

Multiplying Equation B by -2.5
B) -5x -7.5y = -2.5 Then adding this to Equation A)
A) 5x + 7y = 3

-.5y = .5
y = -1

Since
2x + 3y = 1 then
2x -3 = 1
then x = 2

6 0

3 years ago

F. Please answer this as soon as possible.

Liono4ka [1.6K]

Answer:

-12

Step-by-step explanation:

Convert the mixed number to an improper fraction.

-2 $\frac{2}{3}$ = $-\frac{8}{3}$

To divide, just multiply by the reciprocal.

So -2 $\frac{2}{3}$ ÷ $\frac{2}{9}$ becomes $-\frac{8}{3}$ ÷

Now you can multiply straight across.

$-\frac{8}{3}$ × $\frac{9}{2}$ = $-\frac{72}{6}$

And simplify.

$-\frac{72}{6}$ = -12

Please mark as Brainliest! :)

7 0

3 years ago

Read 2 more answers