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3 years ago

Name the property the equation illustrates. 7 + (4 + 4) = (7 + 4) + 4

Mathematics

1 answer:

galben [10]3 years ago

3 0

Answer: Associative Property of Addition

Step-by-step explanation: The statement 7 + (4 + 4) = (7 + 4) + 4 represents the associative property of addition. Notice that the addends or the numbers we are adding are the same on both sides of the equals sign.

But on the left side, 4 and 4 are grouped together and on the right side, 7 and 4 are grouped together.

The associative property of addition says that when we are adding more than two numbers, the grouping of the addends does not affect the sum.

Here, the order operations tells us to begin inside the parentheses. So we have 4 + 4 which is 8 and 7 + 8 is 15.

On the right side, notice that 7 + 4 is 11 and 11 + 4 is also 15.

In general terms, we can write the associative property of addition as

(a + b) + c = a + (b + c) where a, b, and c are variables that can represent any number.

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Read 2 more answers

If master chief has three and a half cookies, and the arbiter has five and three quarters of a cookie, how many cookies do they

nikklg [1K]

Answer:

$9\dfrac{1}{4}$

$4\dfrac{5}{8}$

Step-by-step explanation:

The master chief has three and a half cookies i.e. $3\dfrac{1}{2} = \dfrac{7}{2}$ numbers of cookies.

Again the arbiter has five and three quarters of a cookie i.e. $5\dfrac{3}{4} = \dfrac{23}{4}$ number of cookies.

Therefore, in total there are $(\dfrac{7}{2} +\dfrac{23}{4} ) = \dfrac{37}{4} = 9\dfrac{1}{4}$ numbers of cookies.

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3 years ago

What is the slope of this skateboard ramp if it rises 1.2 meters above the ground and runs 4 meters horizontally at the base?

Nesterboy [21]

By definition, the slope is the inclination of a line in relation to the horizontal. It can be expressed in degrees, ratios and even in percent. Therefore, you can calculate it by applying the following formula:

P%=(H/L)x100

P% is the slope expressed in percent.
H is the height (H=1.2 meters).
L is the length (L=4 meters).

When you substitute these values into the formula P%=(H/L)x100, you obtain the slope of the skateboard ramp:

P%=(H/L)x100
P%=(1.2 meter/4 meters)x100
P%=0.30x100
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3 years ago

Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is

igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

$x=0(mod5)$