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3 years ago

What is the 60th term in the pattern with the formula 2n +10

1 answer:

6 0

The 60th term would be 130.

In the formula 2n+10, n is the term number. For the 60th term we substitute 60 for n and have:

2(60)+10 = 120+10 = 130

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What is the solution to this system of equations? 4x + 5y = 7

Nutka1998 [239]

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

8 0

2 years ago

Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of

Rina8888 [55]

Answer:

27/18= 1.5

18/6 = 3

3•1.5= 4.5

Step-by-step explanation:

$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.

5 0

2 years ago

Find the midpoint of the segment having endpoints (0 ,1/8) and (-4/5 ,0)

kvasek [131]

Answer:

Mid point of the given end points = $(\frac{-2}{5},\frac{1}{16} )$

Step-by-step explanation:

Given the end points of the line segment are :

(0, $\frac{1}{8}$ ) & ( $\frac{-4}{5}$ ,0)

We will use the mid point formula when two points are: (x₁,y₁) & (x₂,y₂)

mid point = $(\frac{x_{1} +x_{2} }{2},\frac{y_{1} +y_{2} }{2} )$

now put the value of x₁ = 0

x₂ = $\frac{-4}{5}$

y₁ = $\frac{1}{8}$

y₂ = 0

mid point = $(\frac{0-\frac{4}{5} }{2},\frac{\frac{1}{8}+0 }{2})$

= $(\frac{-2}{5},\frac{1}{16} )$

That's the final answer.

3 0

2 years ago

Can someone please help with this ?

creativ13 [48]

Answer: -9n+20

This is the same as 20-9n

================================================

Explanation:

The jump from 11 to 2 is "minus 9"

The jump from 2 to -7 is also "minus 9".

Assuming this pattern continues on, we have an arithmetic sequence with

a = 11 = first term
d = -9 = common difference

The nth term can be found like so

$a_n = a + d(n-1)\\\\a_n = 11 + (-9)(n-1)\\\\a_n = 11 -9n + 9\\\\a_n = -9n+20\\\\$

Let's check the answer by trying n = 3

$a_n = -9n+20\\\\a_3 = -9*3+20\\\\a_3 = -27+20\\\\a_3 = -7\\\\$

This shows the third term is -7, which matches what the original sequence shows. The answer is partially confirmed. I'll let you check the other values of n. You should get 11 when trying n = 1, and you should get 2 when trying n = 2.

4 0

1 year ago

What is the value of n in the equation; 3n - 8 = 32 - n?

Marrrta [24]

N=10
3n-8=32-n
+8 +8
3n=40-n
+n +n
4n=40
Divide
n=10

7 0

3 years ago