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2 years ago

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Which expression illustrates the associative property of addition? (3 19) – 12 = (3 12) – 19 3 (19 – 12) = 3 (19 12) (3 19) – 12

= 3 (19 – 12) 3 (19 –12) = 3 – (19 12)

1 answer:

Gre4nikov [31]2 years ago

5 0

Answer:

Associative Property

For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means 2(3×4) = (2×3)4.

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The lengths of two sides of a triangle are shown below:

kifflom [539]

Answer:

Part A: 5x² + 7x - 4

Part B: 5x³ - x² - 8x + 1

Part C: Yes.

Step-by-step explanation:

Part A: The length of two sides of a triangle are given by

Side 1: 3x² - 2x - 1

Side 2: 9x + 2x² - 3

Now, the total length of the two sides, 1 and 2, of the triangle will be

= (3x² - 2x - 1) + (9x + 2x² - 3)

= 5x² + 7x - 4 (Answer)

Part B: If the length of the third side is y and the perimeter of the triangle is (5x³ + 4x² - x - 3), then

y = (5x³ + 4x² - x - 3) - (5x² + 7x - 4) = 5x³ - x² - 8x + 1 (Answer)

Part C: The answers in the part A and part B are closed under addition and subtraction. (Answer)

7 0

4 years ago

Help me I don’t understand what I’m doing

viktelen [127]

Answer:

Area of triangle = 192 cm²

Step-by-step explanation:

→ Area of triangle = 0.5 × Base × Height

Base = 24 cm

Height = 16 cm

→ Substitute in the values

Area of triangle = 0.5 × 24 × 16

→ Simplify

Area of triangle = 192 cm²

5 0

3 years ago

Read 2 more answers

Mr. Coulson counted the bolts in his hardware cabinet and made a line plot.

brilliants [131]

The total length of the bolts that are less than 1 inch long is 1 6/8 inches while the fraction of the bolts are greater than 1 inch long is 4/10

<h3>What is line plot?</h3>

Line plot is a type of graph that is used to represent a group of data on a number line.

From the number line:

Length less than 1 in = 3/8 + 4/8 + 7/8 = 14/8 = 1 6/8 inches

Fraction of the bolts are greater than 1 inch long = 4 / 10

The total length of the bolts that are less than 1 inch long is 1 6/8 inches while the fraction of the bolts are greater than 1 inch long is 4/10

Find out more on line plot at: brainly.com/question/1081562

8 0

2 years ago

F(x) = -2x^2 – 5x+1<br> h(x) = 3(x+3)^2 – 11<br> h(f(-1)) =

Mkey [24]

I hope this helps you

8 0

3 years ago

At a carry-out pizza restaurant, an order of 3 slices of pizza, 4 breadsticks, and 2 juice drinks costs $13.35. A second order o

BartSMP [9]

Answer: Pizza = $2.95, Breadstick = $0.50, Juice = $1.25

<u>Step-by-step explanation:</u>

Let P represent the cost of a slice of pizza

and B represent the cost of breadstick

and J represent the cost of a juice drink.

EQ1: 3P + 4B + 2J = 13.35

EQ2: 5P + 2B + 3J = 19.50

EQ3: 4B + J = P + 0.30 --> P - 4B - J = -0.30

Let's eliminate B from EQ1 and EQ2 to form EQ4:

3P + 4B + 2J = 13.35 → 1(3P + 4B + 2J = 13.35) → 3P + 4B + 2J = 13.35

5P + 2B + 3J = 19.50 → -2(5P + 2B + 3J = 19.50) → <u>-10P - 4B - 6J</u> = <u>-39.00</u>

EQ4: -7P -4J = -25.65

And eliminate B from EQ1 and EQ3 to form EQ5:

3P + 4B + 2J = 13.35

<u> P - 4B - J </u> =<u> -0.30</u>

EQ5: 4P + J = 13.05

Now, eliminate J from EQ4 and EQ5 to solve for P:

-7P - 4J = -25.65 → 1(-7P - 4J = -25.65) → -7P - 4J = -25.65

4P + J = 13.05 → 4(4P + J = 13.05) → <u> 16P +4J </u>= <u>52.20</u>

9P = 26.55

<u>÷9 </u> <u>÷9 </u>

P = 2.95

Plug in P = 2.95 into EQ4 or EQ5 to solve for J:

EQ5: 4P + J = 13.05

4(2.95) + J = 13.05

11.80 + J = 13.05

J = 1.25

Plug in P = 2.95 and J = 1.25 into either EQ1 or EQ2 or EQ3 to solve for B:

EQ3: 4B + J = P + 0.30

4B + 1.25 = 2.95 + 0.30

4B + 1.25 = 3.25

4B = 2.00

B = 0.50

Check (since we used EQ3 to find B, use either EQ1 or EQ2):

EQ2: 5P + 2B + 3J = 19.50

5(2.95) + 2(0.50) + 3(1.25) = 19.50

14.75 + 1.00 + 3.75 = 19.50

19.50 = 19.50 $\checkmark$

6 0

3 years ago