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swat32
3 years ago
10

If 2 consecutive prime numbers have a sum of 42, what is the larger number?

Mathematics
1 answer:
QveST [7]3 years ago
4 0
Here’s a factor tree to help

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Translate the sentence into an equation or formula.
AlexFokin [52]

Answer:

Step-by-step explanation:

yo yo yo

= bo obobo ooboob

8 0
2 years ago
Peter started to deposit 5000 monthly in a fund that pays 1%compounded monthly .how much will be in the fund after 8 months?
Keith_Richards [23]

Answer:

43200 assuming he put 5000 in the fund every month not just the first one.

Step-by-step explanation:

I hope this helps.

4 0
3 years ago
Consider the differential equation dydx=6x, dydx=6x, with initial condition y(0)=4y(0)=4.
topjm [15]
Formatting is kind of messed up. I'm assuming the differential equations is dy/dx = 6x

You need to get all the x's on one side and y'all on the other.

dy =6x dx

Integrate both sides.

y = 3x^2 + C

Now plug in the given values

y(0) = 4 = 3(0)^2 + C

C = 0

y = 3x^2

Plug 1 in for x to find the value of y(1)

y(1) = 3(1)^2 = 3







4 0
3 years ago
Find the solution to the system of equations below.<br> 2y = 2x - 8<br> 2x + y = 5
ladessa [460]

Answer:

The solution to the system of equations is:

  • (x, y) = (3, -1)

The graph is attached below.

Step-by-step explanation:

Given the system of equations

2y = 2x - 8

2x + y = 5

Let us solve the system of equations using the elimination method

\begin{bmatrix}2y=2x-8\\ 2x+y=5\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}2y-2x=-8\\ y+2x=5\end{bmatrix}

Multiply y + 2x = 5 by 2:  2y + 4x = 10

\begin{bmatrix}2y-2x=-8\\ 2y+4x=10\end{bmatrix}

subtracting the equations

2y+4x=10

-

\underline{2y-2x=-8}

6x=18

solve 6x = 18 for x

6x=18

Divide both sides by 6

\frac{6x}{6}=\frac{18}{6}

simplify

x=3

For 2y - 2x = -8  plug in x = 3

2y-2\cdot \:3=-8

2y-6=-8

Add 6 to both sides

2y-6+6=-8+6

Simplify

2y=-2

Divide both sides by 2

\frac{2y}{2}=\frac{-2}{2}

Simplify

y=-1

Therefore, the solution to the system of equations is:

  • (x, y) = (3, -1)

The graph is attached below.

8 0
3 years ago
Solve for x: 3 − (2x − 5)&lt; −4(x + 2
guapka [62]

Answer:x<−8

Step-by-step explanation:

8 0
3 years ago
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