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stepan [7]
3 years ago
11

32.567+135.0+1.4567= what is the answer

Mathematics
2 answers:
Mrrafil [7]3 years ago
7 0
=169.0237
<span><span>32.567+135</span>+1.4567
</span><span>=<span>167.567+1.4567
</span></span><span>=<span>169.0237
♥Hope this helps!♥</span></span>
monitta3 years ago
4 0
      1  1 1
  135.0000
+  32.5670
+    1.4567
___________
  169.0237 ~ Final answer
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Angel has 5 cakes. he wants to cut them into 1/5 pieces. how many pieces will he be able to cut?
natima [27]

Answer:

25

Step-by-step explanation:

5*5=25

5 0
3 years ago
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The elevator maximum capacity is 1,000 pounds. Alex weighs 165 pounds and his helper Joan weighs 145 pounds. They have 50 pound
SVEN [57.7K]

Answer:

13

Step-by-step explanation:

If Alex and Joan's combined weight is 310, keep that in mind for each trip.

(1000-310)/50=answer

100-310= 690

690/50= 13.8

But you can't have a partial box, so it'll be only 13. You can't round up because then the total weight will be 10 over.

3 0
3 years ago
A turtle lives in a garden and a hedgehog lives in the woods. They leave their homes at the same time walk toward each other and
Jlenok [28]

Based on the calculations, the distance between the garden and the woods is equal to 383 meters.

<h3>How to calculate the distance.</h3>

First of all, we would assign a variable to the different speeds of the turtle and hedgehog as follows:

  • Let the turtle's speed be S₁.
  • Let the hedgehog's speed be S₂.

Mathematically, distance is given by this formula:

Distance = speed × time

Translating the word problem into an algebraic expression, we have;

If they both meet in 5 hours:

D = (S₁ + S₂) × 5  

D = 5S₁ + 5S₂      ......equation 1.

Turtle's speed is 10 meters per hour slower than the hedgehog:

S₁ = S₂ - 10    .....equation 2.

If the turtle had left home 4.5 hours earlier than the hedgehog had left his home:

9.5S₁ + 5S₂ = D + 150    .....equation 3.

Substituting enq. 2 into eqn. 1, we have:

D = 5(S₂ - 10) + 5S₂

D = 5S₂ - 50 + 5S₂

D = 10S₂ - 50      .....equation 4.

Equating eqn. 3 and eqn. 4, we have:

10S₂ - 50 = 9.5(S₂ - 10) + 5S₂ - 150

10S₂ - 50 = 9.5S₂ - 95 + 5S₂ - 150

10S₂ - 50 = 14.5S₂ - 245

14.5S₂ - 10S₂ = 245 - 50

4.5S₂ = 195

S₂ = 195/4.5

S₂ = 43.3 m/h.

Now, we can find the distnace:

D = 10S₂ - 50

D = 10(43.3) - 50

D = 433 - 50

D = 383 meters.

Learn more about distance here: brainly.com/question/10545161

4 0
2 years ago
A very large tank initially contains 100L of pure water. Starting at time t = 0 a solution with a salt concentration of 0.8kg/L
Scorpion4ik [409]

Answer:

1. \dfrac{dy}{dt}=4-\dfrac{3y(t)}{100+2t}

2. y(40) = 110.873 \ kg

Step-by-step explanation:

Given that:

A very large tank initially contains 100 L of pure water.

Starting at time t = 0 a solution with a salt concentration of 0.8kg/L is added at a rate of 5L/min.

. The solution is kept thoroughly mixed and is drained from the tank at a rate of 3L/min.

As 5L/min is entering and 3L/min is drained out, there is a 2L increase per minute. Therefore, the amount of water at any given time t = (100 +2t) L

t = (50 + t ) L

Since it is given that we should  consider y(t) to be the  amount of salt (in kilograms) in the tank after t minutes.

Then , the differential equation that  y satisfies can be computed as follows:

\dfrac{dy}{dt}=rate_{in} - rate_{out}

\dfrac{dy}{dt}=(0.8)(5) -\dfrac{y(t)}{100+2t} \times3

\dfrac{dy}{dt}=(0.8)(5) -\dfrac{3y}{100+2t}

\dfrac{dy}{dt}=4-\dfrac{3y(t)}{100+2t}

How much salt is in the tank after 40 minutes?

So,

suppose : e^{\int \dfrac{3}{100+2t} \ dt} = (t+50)^{3/2}

Then ,

( t + 50)^{3/2} y' + \dfrac{3}{2}(t+50)^{1/2} y = 4(t+50)^{3/2}

( t + 50)^{1.5} y' + \dfrac{3}{2}(t+50)^{0.5} y = 4(t+50)^{3/2}

[y\ (t + 50)^{1.5}]' = 4(t+ 50)^{1.5}

Taking the integral on both sides; we have:

[y(t + 50)^{1.5}] = 1.6 (t + 50)^{2.5} + C

y = 1.6 (t+50)+C(t+50)^{-1.5}

y(0) = 0 = 1.6(0+50) + C ( 0 + 50)^{-1.5}

0 = 1.6(50) + C ( 50)^{-1.5}

C= -1.6(50)^{2.5}

y(40) = 1.6 (40 + 50)^1  - 1.6 (50)^{2.5}(50+40)^{-1.5}

y(40) = 144  - 1.6 \times 17677.66953 (90)^{-1.5}

y(40) = 144  - 1.6 \times 17677.66953 \times 0.001171213948

y(40) = 144  - 33.12693299

y(40) = 110.873 \ kg

6 0
4 years ago
Which is the simplified form of the expression?
Anon25 [30]

Given:

Consider the given expression is:

10n-\dfrac{1}{3}(9n-12)

To find:

The simplified form of the given expression.

Solution:

We have,

10n-\dfrac{1}{3}(9n-12)

Using distributive property, it can be written as:

=10n-\dfrac{1}{3}(9n)-\dfrac{1}{3}(-12)

=10n-3n+4

=7n+4

Therefore, the correct option is A.

4 0
3 years ago
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