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marin
15 days ago
8

marion has 4 cards, jake has 4 cards, and sam has 3 cards. Can you write a multiplication equation to find how many cards they h

ave in all?
Mathematics
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Bart used place value and the distributive property to rewrite the expression 6(412). His work is shown below. 6(412) = 6(400 +
PIT_PIT [12445]

Bart needs to;

Calculate 6(400), 6(10), and 6(2) ⇒ 2nd

Calculate each addend multiplied by 6 ⇒ 4th

Determine the total of (2400 + 60 + 12) ⇒ 5th

Step-by-step breakdown:

We'll review the distributive property

  • a(b + c) = ab + ac
  • a(b + c + d) = ab + ac + ad

Bart applied place value along with the distributive property to express the

calculation 6(412)

His calculation can be represented as 6(412) = 6(400 + 10 + 2)

We must find out what Bart needs to do to compute the product

∵ 6(412) = 6(400 + 10 + 2)

- Multiply every component inside the brackets by 6 on the right side

∴ 6(400 + 10 + 2) = (6)(400) + (6)(10) + 6(2)

∴ 6(400 + 10 + 2) = 2400 + 60 + 12

∴ He should multiply each addend by 6, then calculate the total of

  (2400 + 60 + 12)

Bart needs to;

Calculate 6(400), 6(10), and 6(2)

Multiply each addend by 6

Compute the total of (2400 + 60 + 12)

Learn more:

You can find additional information regarding place value at

5 0
2 months ago
Read 2 more answers
The curvature of the Tacoma Narrows Bridge in
tester [12383]

Response:

The width of the arch measures 105 meters

Detailed explanation:

The function that describes the width of the arch is

f(x) = -0.016(x - 52.5)² + 45

where x denotes the horizontal distance from the left end of the arch or the width at its base

f(x) indicates the vertical height of the arch

According to the given quadratic equation, the vertex coordinates of the parabola are (52.5, 45).

The vertex coordinates indicate that

the arch's height is 45 meters

and half the horizontal span from the left end is 52.5 meters

Therefore, the bridge's total width is calculated as 2 times the half span from the left side, which is 2 × 52.5

resulting in 105 meters

Consequently, the bridge's width is 105 meters.

4 0
2 months ago
Lillian collects stickers. Of her collection, 5/12 are animals stickers. Of remainder, 5/14 are flower stickers. What fraction o
lawyer [12517]
This can be accomplished through simple subtraction. Starting with 12-5 we obtain 7 for the animal stickers. Next, for the flowers, 14-5 yields 9. Finally, 9 + 7 results in a total of 16. Therefore, the final answer is 16!
8 0
2 months ago
Read 2 more answers
If Brian biked at an average speed of 12.2 miles per hour for 1.45 hours, you can find the total distance by multiplying Explain
Inessa [12570]

Answer:

The distance he covered is 17.69.

Step-by-step explanation:

Simply multiply 12.2 by 1.45. This calculation yields a total distance of 17.69.

6 0
4 months ago
Read 2 more answers
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