Which statement shows the associative property of addition?

2 answers:

8 0

(u + 7) + 13 = u + (7 + 13) The associative property of addition says that you can add numbers regardless of how they're grouped and get the same result. So let's look at the options and see what makes sense. (u + 7) + 13 = u + (7 + 13) * This is showing the associative property like the definition states. So this is the correct choice. 21 + 2y = 2y + 21 * This is a demonstration of the commutative property of addition. So it's the wrong choice for this question. 3â‹…(5â‹…x)=(3â‹…5)â‹…x * This is showing the associative property of multiplication. So it's the wrong choice for this question. If m + 3 = 18, then 18 = m + 3. * This is a demonstration of the symmetric property of equality. So for this question, it's the wrong choice.

wariber [46]4 years ago

6 0

Answer:

(u + 7) + 13 = u + (7 + 13)

Step-by-step explanation:

i took the test

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Answer:

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Make a proportion of corresponding sides

Side AU corresponds to Side AB
Side UV corresponds to Side BC

Find AB by adding AU and UB
AU = 20x + 108
UB = 273
AB = 20x + 381

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3 years ago

An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is 0.5 s and 7 s.

Step-by-step explanation:

Given:

Initial speed of debris is, $s=120\ ft/s$

The height 'h' of the debris above the ground is given as:

$h(t)=-16t^2+120t$

As per question, $h(t)=56\ ft$ . Therefore,

$56=-16t^2+120t$

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

$-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0$

Using quadratic formula to solve for 't', we get:

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s$