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vodka [1.7K]
2 years ago
15

Which expression illustrates the associative property of addition?

Mathematics
2 answers:
Alenkasestr [34]2 years ago
5 0

Answer:

C:(3+9)-12=3+(19-12)

Step-by-step explanation:

We are given that some options

We have to find that which expression illustrate the associative property of addition

Associative property of addition:

Let a, b and c are integers then

(a+b)+c=a+(b+c)

a=3 ,b=19,c=-12

(3+19)-12=3+(19+(-12))

(3+9)-12=3+(19-12)

Hence, option C is true.

4vir4ik [10]2 years ago
3 0

Answer: THIRD OPTION.

Step-by-step explanation:

The Associative property of addition states that when three or more numbers are added, it does not matter how they are grouped, the sum is the same. Then:

a + (b + c) = (a + b) + c

Based on this and having the expression 3 + 19- 12, we can apply the Associative property as following:

(3 + 19) - 12 = 3 + (19 - 12)

Therefore, the  expression that illustrates the Associative property of addition is the one shown in the Third option.

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Plz help me with this math and also explain
jasenka [17]

Step-by-step explanation:

<h2>[1]</h2>

  • SI = $250
  • Rate (R) = 12\sf \dfrac{1}{2} %
  • Time (t) = 4 years

\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\

\longrightarrow \tt { 250 \times 100 = P \times 50} \\

\longrightarrow \tt { 25000 = P \times 50} \\

\longrightarrow \tt { \dfrac{25000}{50} = P } \\

\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\

Therefore principal is $500.

<h2>__________________</h2>

<h2>[2]</h2>

  • 2/7 of the balls are red.
  • 3/5 of the balls are blue.
  • Rest are yellow.
  • Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\

\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\

\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\

\longrightarrow \tt{ 31x + 1260= 35x} \\

\longrightarrow \tt{ 1260= 35x-31x} \\

\longrightarrow \tt{ 1260= 4x} \\

\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\

\longrightarrow \underline{\boxed{  \tt { 315 = x }}} \\

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\

\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\

\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\

\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\

8 0
3 years ago
16 is 4% of what number?
IrinaK [193]
16 is 4% of 400 

Change the percentage into a decimal by dividing the decimal over 100:
\frac{4}{100} = 0.04

Divide 16 by the decimal (0.04):
16 \div 0.04 = 400
3 0
3 years ago
IF YOU CAN ANSWER CORRECTLY I WILL MARK YOU BRAINLIEST
34kurt

Answer:

1,436.75 cubic millimeters

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Step-by-step explanation:

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2 years ago
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Gabriel lives in a state where the sales tax rate is 6.25%. If Gabriel purchase an item for $60.00, how much sales tax does he n
Rina8888 [55]

Answer:

Gabriel needs to have $3.75 for sales tax.

Step-by-step explanation:

A sales tax rate of 6.25% means that 6.25 cents is going to be charged for tax for each dollar you spend. (Because 6.25% of $1.00 is 6.25 cents.)

If he was spending $10, the sales tax would be 62.5 cents (6.25 cents per dollar x 10 dollars). Since he is spending $60 on this item, the equation would be (6.25 cents per dollar x 60 dollars) (6.25 cents x 60 = 375 cents).

And 375 cents equals $3.75.

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3 years ago
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N76 [4]

Answer & Step-by-step explanation:

The domain of a set of points refers to the input, also known as the x values. To find the domain, record all the x values given (x,y):

domain={-2,0,3,5}

:Done

**The range is the output, aka the y values.

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