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Nadya [2.5K]
3 years ago
5

What is the value of the numerical expression 5/8-5/12(3-1/4)+2/3

Mathematics
1 answer:
vlabodo [156]3 years ago
3 0
Make bottom numbers same
find least common multipules of 8,12,4 and 3
8=2 times  2 times 2
12=2 times 2 times 3
4=2 times 2
3=3
lcm=2 times 2 times 2 times 3=24

5/8 times 3/3=15/24
5/12 times 2/2=10/24
3/1 times 24/24=72/24
1/4 times 6/6=6/24
2/3 times 8/8=16/24
we now have
15/24-10/24(72/24-6/24)+16/24
pemdas
simplify parenthasees first
72/24-6/24=66/24

now we have
15/24-10/24(66/24)+16/24
multiply
15/24-660/576+16/24
make same bottom number
15/24 times 24/24=360/576
16/24 times 24/24=384/576
360/576-660/576+384/576
84/576
7/48

answer is 7/48
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5 0
3 years ago
3³+1x9+12 answer please, I really think it's 48.
UNO [17]

Answer:

You are correct the answer is 48.

Step-by-step explanation:

To begin solving this question you would want to start simplifying it to make it more understandable.

3^3 is 27 which now gives you 27 + 1 x 9 +12 which makes it easier to solve.

Then you would take 1 x 9 = 9 (multiply left to right)

Now it is simple addition

27 + 9 + 12 = 48

Hopefully this helps.

6 0
3 years ago
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Can someone help me i cant understand with work
Masja [62]

Answer:

Right now it would be

-40

Since desend means down add -20 to -40

-40+(-20)=-60

         or

-40-20=-60

Then is goes up 35, which is positive

-60+35=-25

Therefore, the answer is -25

Hope this helps

Answer by

<em>Fishylikeswater</em>

<em></em>

3 0
3 years ago
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Solve the equation. StartFraction dy Over dx EndFraction equals5 x Superscript 4 Baseline (1 plus y squared )Superscript three h
dangina [55]

Answer:

Step-by-step explanation:

To solve the differential equation

dy/dx = 5x^4(1 + y²)^(3/2)

First, separate the variables

dy/(1 + y²)^(3/2) = 5x^4 dx

Now, integrate both sides

To integrate dy/(1 + y²)^(3/2), use the substitution y = tan(u)

dy = (1/cos²u)du

So,

dy/(1 + y²)^(3/2) = [(1/cos²u)/(1 + tan²u)^(3/2)]du

= (1/cos²u)/(1 + (sin²u/cos²u))^(3/2)

Because cos²u + sin²u = 1 (Trigonometric identity),

The equation becomes

[1/(1/cos²u)^(3/2) × 1/cos²u] du

= cos³u/cos²u

= cosu

Integral of cosu = sinu

But y = tanu

Therefore u = arctany

We then have

cos(arctany) = y/√(1 + y²)

Now, the integral of the equation

dy/(1 + y²)^(3/2) = 5x^4 dx

Is

y/√(1 + y²) = x^5 + C

So

y - (x^5 + C)√(1 + y²) = 0

is the required implicit solution

5 0
3 years ago
CAN SOMEONE HELP ME PLEASE ASAP!!!!!!
alexdok [17]

Answer:

12 in.

Step-by-step explanation:

Formula: a^2 + b^2 = c^2

This case: c^2 - a^2 = b^2

1) 15^2 + 9^2 = b^2

2) 225 - 81 = 144

3) \sqrt{144 = 12

5 0
2 years ago
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