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goldfiish [28.3K]
3 years ago
14

The natural number A is a multiple of 6. When the sum of all the factors of A is 39, find the value of A.

Mathematics
1 answer:
likoan [24]3 years ago
6 0

Answer:

A = 18

Step-by-step explanation:

A is a multiple of 6, that is

A : 6, 12, 18, 24, 30, .......

Listing the factors gives

6 : 1, 2, 3, 6 → sum = 12

12 : 1, 2, 3, 4, 6, 12 → sum = 28

18 : 1, 2, 3, 6, 9, 18 → sum = 39

Thus A = 18

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almond37 [142]
X = nr. hrs working for a farmer;
y = nr. hrs. babysitting;
x + y <= 25;
10x + 5y >= 150

a) Solve the system => one of the solution is  x =5; y = 20(babysitting)
b) 10 + 12 =22 <= 25; 10*10 + 5*12 = 160 >=150.


7 0
4 years ago
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Find the derivative of f(x) = 2x^2 - 4x +3
ivolga24 [154]

Explanation

2x^2-4x+3

When taking derivatives of polynomials, we primarily make use of the power rule.

Power rule.

\begin{gathered} f(x)=x^n \\ \text{then} \\ f^{\prime}(x)=nx^{n-1} \end{gathered}

also, the derivate of a sum is the sum of the derivates

hence

\begin{gathered} g(x)=f(x)+h(x)+\ldots z(x) \\ g^{\prime}(x)=f^{\prime}(x)+h^{\prime}(x)+\ldots.z^{\prime}(x) \end{gathered}

Step 1

apply:

\begin{gathered} f(x)=2x^2-4x+3 \\ f^{\prime}(x)=2\cdot2x^{2-1}-4(1)x^{1-1}+ \\ f^{\prime}(x)=4x^{}-4(1)x^0+3^0 \\ f^{\prime}(x)=4x^{}-4(1)(1) \\ f^{\prime}(x)=4z-4 \end{gathered}

therefore, the answer is

8 0
1 year ago
A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed
musickatia [10]

Try this solution:

Answer: 6 & 4.5 (m-per-h)

Step-by-step explanation:

- The basic formula used in this task is S=V*t, where S - distance, V - speed, t - time.

- the downstream speed is: V+Vc, where V - the speed of the boat in still water, Vc - the speed of the current.

- the upstream speed is: V-Vc.

- according to the described above the distance for downstream is S1=(V+Vc)*t1, where t1=10; the distance for upstream is S2=(V-Vc)*t2, where t2=70.

- for whole travel down- and upstream: S=S1+S2.

- Using these it is possible to make up the system of the equations:

\left \{ {{(70(V-V_c)=10(V+V_c)} \atop {70(V-V_c)+10(V+V_c)=210}} \right.

V - the speed of the boat in still water - 6 miles per hour, Vc - the speed of the current - 4.5 miles per hour. All the details for the system of the equations are in the attachment.

4 0
4 years ago
Please help!!! I don’t get any of this can someone please explain what to do and how I can get my answer????
diamong [38]
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3. A = L * W
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4. A = L * W
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    A = 300 * 32
    A = 9600 cm^2 <==

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7 0
3 years ago
Solve: 2x+6-10x=30
LiRa [457]
The answer will be -3
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