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wolverine
1 month ago
6

Show how to solve the problem 378x6 using place value with regrouping. Explain how you knew when to regroup.

Mathematics
1 answer:
AnnZ [12.3K]1 month ago
8 0
<span>6 (378) = 2268 = (189 + 189)6


The properties include:
Addition: you can compute 6 + 107 = 113 </span>
Commutative Property by altering: 107 + 6 = 113 
Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 
Distributive Property by distributing: 2 (3) + 107 = 113   

In terms of multiplication, you can calculate 6 x 107 = 642 
Commutative Property by rearranging: 107 x 6 = 642 
Associative Property through grouping: (3 + 3) x (100 + 7 ) = 642 
<span>Distributive Property by distributing: 2(3) x 107 = 642 
</span>
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Describe two ways to solve the equation 2(4x-11)=10
AnnZ [12381]
2(4x-11) = 10

Method 1:
Divide both sides by 2:
\frac{2(4x-11)}{2} = \frac{10}{2}

4x-11 = 5

Then add 11 to both sides:

4x-11+11 = 11+5

4x = 16

Finally divide both sides by 4

\frac{4x}{4} = \frac{16}{4}

x = 4

Method 2:

Use the distributive property:

2(4x-11) = 10

2*4x- 2*11 = 10

8x - 22 = 10

Add 22 to both sides:

8x - 22+22 = 10+22

8x = 32

Then divide both sides by 8

\frac{8x}{8} = \frac{32}{8}

x = 4
6 0
1 month ago
in a ceremony out of 800 participants 620 drink milk 350 drank tea and 50 did not drink both. find out how many people drank the
Leona [12618]
220: goodnight, mark me brainliest Explanation: Let M symbolize the count of people who drank milk, while T denotes those who consumed tea. Let x indicate the number who had both milk and tea. Consequently, the count of individuals who drank only milk is represented by n(M ∩ T') = 620 - x, and those who drank only tea is n(M' ∩ T) = 350 - x. Since 800 individuals took part, we have: 620 - x + (350 - x) + x + 50 = 800, simplifying to 1020 - x = 800. Therefore, x = 220. Thus, 220 individuals consumed both beverages.
6 0
1 month ago
A college football coach has decided to recruit only the heaviest 15% of high school football players. He knows that high school
Inessa [12570]

Response:

The coach should begin seeking players who weigh at least 269.55 pounds.

Step-by-step explanation:

We have these details from the question:

Average, μ = 225 pounds

Standard Deviation, σ = 43 pounds

The weights follow a bell curve, indicating a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We need to establish the value of x that corresponds to a probability of 0.15

P( X > x) = P( z > \displaystyle\frac{x - 225}{43})=0.15

= 1 -P( z \leq \displaystyle\frac{x - 225}{43})=0.15

=P( z \leq \displaystyle\frac{x - 225}{43})=0.85

Review from the standard normal z table gives us:

P(z < 1.036) = 0.85

\displaystyle\frac{x - 225}{43} = 1.036\\\\x = 269.548 \approx 269.55

Consequently, the coach should start recruiting players weighing at least 269.55 pounds.

3 0
1 month ago
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $ 65 $65dollar sign, 65 along with an h
AnnZ [12381]

Answer:

Step-by-step explanation:

Initial Charge = $ 65

Hourly Rate = $ 28

Hours Worked = H

Cost for H hours = 28 * H = 28H

Inequality:

65 + 28H ≤ 250

7 0
1 month ago
Read 2 more answers
Which expression represents the perimeter of a rectangle above? the width is (3y-5)ft and the length is 2yft
tester [12383]
Perimeter (P)= 2Length (L) +2Width (W)
P=2L + 2W
P=(2y)+(3y-5)
P=5y-5
A. 5y-5
5 0
19 days ago
Read 2 more answers
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