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Fantom [35]
2 years ago
6

10. 63 + 9(6x - 5).= 6(5x + 8) - 6x Is it no solution/many solutions/ or one solution

Mathematics
2 answers:
Lerok [7]2 years ago
8 0

Answer:

one solution

Step-by-step explanation:

10.63 + 9(6x - 5) = 6(5x + 8) - 6x

10. 63 + 54x - 45 = 30x + 48 - 6x

-34.37 + 54x = 24x + 48

 54x = 24x + 48 + 34.37

 54x = 24x + 82.37

54x -24x = 82.37

30x = 82.37

   x = 2.745

uysha [10]2 years ago
4 0

Answer:

  one solution: x=1

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use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042
marishachu [46]

Answer:

Option A.

Step-by-step explanation:

The given sequence is  

24, 30, 36, 42, 48, ...

It is an AP. Here,  

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

a_n=a_1+(n-1)d

where, a_1 is first term, d is common difference.

Substitute a_1=24, d=6 \text{ and }n=500 in the above formula.

a_{500}=24+(500-1)(6)

a_{500}=24+(499)(6)

a_{500}=24+2994

a_{500}=3018

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

3 0
3 years ago
Jane bought 12 mangoes for $600 how many mangoes can she buy with $1000​
Ghella [55]

Answer:

20 mangos

Step-by-step explanation:

1. Divide $600 by 12. Your answer should be $50. This means that every mango costs $50.

2. You now need to solve the expression: 1000 ÷ 50 which equals 20. This means that with $1000 Jane can buy 20 mangos.

3 0
2 years ago
What is an equation in slope-intercept form of the line that passes through the points (−2, −2) and (1, 7)? A.y = 4x + 3 B.y − 7
antoniya [11.8K]

Answer:

C.y = 3x + 4

Step-by-step explanation:

We have two points, so we can find the slope

m = (y2-y1)/ (x2-x1)

   = (7--2)/ (1--2)

   = (7+2)/(1+2)

    = 9/3

    =3

The slope is 3

We can find the point slope form of the line

y-y1 = m(x-x1)

y-7 = 3(x-1)

Distribute

y-7 =3x-3

Add 7 to each side

y-7+7 = 3x-3+7

y = 3x+4

This is in slope intercept form (y=mx+b)

8 0
3 years ago
A ratio compares the relative sizes of ______ quantities .​
Andre45 [30]

Answer:

two

Step-by-step explanation:

A ratio compares the relative sizes of two quantities .​

4 0
3 years ago
The sum of 2 consecutive numbers is 37. Find the numbers.
Eva8 [605]
The answer is x and x+1
8 0
3 years ago
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