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kirill [66]
2 years ago
12

Mallory has 535 E-Mail messages in her Inbox. She sorts them evenly among folders labeled Family, Friends, Work, School, and Rec

ipes. If each folder began with 25messages, How many messages does Mallory put in each folder now
Mathematics
1 answer:
Neporo4naja [7]2 years ago
6 0
1
5 \times 107
then it equals 535,the answers is 107
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How Many Solutions?<br> 3x - 7 = 3(x - 3) + 2<br> No Solution<br> One Solution<br> Infinite Solution
prisoha [69]

Answer:

Infinite Solutions

Step-by-step explanation:

3x-7=3x(x-3)+2

3x-7=3x-9+2 - Distributive Property

3x-7=3x-7 - adding the right side together

3 0
3 years ago
5w+10=40
Ratling [72]

Answer:

Step-by-step explanation:

5w+10=40

5w=40-10

5w=30

w=30/5

w=6

Answer: A) 6

-------------------

10k+5=65

10k=65-5

10k=60

k=60/10

k=6

Answer: k=6

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2b-15=33

2b=33+15

2b=48

b=48/2

b=24

Answer: b=24

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3d+18=21

3d=21-18

3d=3

d=3/3

d=1

Answer: d=1

6 0
3 years ago
5x+5y are like terms and can be added together to simplify to 10xy<br><br><br> A.True <br> B.False
Alja [10]

Step-by-step explanation:

B. False

they cannot be written as 10xy but only in 5x+5y

x and y will only become together if they are multiplied

as you can see there's a plus sign

you can add them if it is in 5x+5x (or) 5y+5y but never as in 5x+5y

3 0
3 years ago
Find y as a function of x if y"' + 9y' = 0, y(0) = 6, y'(0) = 9, y"(0) = 18. y(x) =
Andreas93 [3]

Answer:

y(x) = 8 - 2cos 3x + 3sin 3x

Step-by-step explanation:

Given the equation:

y''' + 9y' = 0

The characteristic equation :

⇒r³ + 9r =0

Solving for r, we get r = 0 and r = ± 3i

The general equation for such equation is :

<u>y = C₁ + C₂cos 3x + C₃sin 3x</u>

Given:

y(0) = 6

Thus, Applying in the above equation, we get

<u>6 = C₁ + C₂ .......................................................1</u>

Differentiating y , we get:

<u>y' = -3C₂sin 3x + 3C₃cos 3x</u>

Given:

y'(0) = 9

Thus, Applying in the above equation, we get

<u>9 = 3C</u><u>₃</u>

or,

<u>C</u><u>₃</u><u> = 3</u>

Differentiating y' , we get:

<u>y'' = -9C₂cos 3x - 9C₃sin 3x</u>

Given:

y''(0) = 18

Thus, Applying in the above equation, we get

<u>18 = -9C</u><u>₂</u>

or,

<u>C</u><u>₂</u><u> = -2</u>

Applying in equation 1 , we get:

<u>C₁ = 8</u>

Thus,

<u>y(x) = 8 - 2cos 3x + 3sin 3x</u>

4 0
3 years ago
A river flows at 2m/s. Juan’s boat can travel twice as fast down the river as it can go up the river. How fast can the boat go i
solniwko [45]

Answer: 2m/s

Step-by-step explanation:

The boat goes twice as fast down the river, which means it goes twice as slow up the river.

Because the river flows at 2m/s, I think the answer is 2m/s

6 0
1 year ago
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