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3 years ago

The sum of 12 1/4 + 5 5 /6.

Mathematics

2 answers:

Feliz [49]3 years ago

6 0

Answer:

43/6

Step-by-step explanation:

12 * 1/4 + 5 * 5/6

= 12/4 + 25/6

= 3 + 25/6

= (18 + 25)/6

= 43/6

makkiz [27]3 years ago

5 0

Answer:

18 1/12

Step-by-step explanation:

find the least common denominator which is 12

multiply both fractions by the number need to get to the LCD 3/12 and 10/12

add and simplify 13/12= 1 1/12

12+ 5+ 1 1/12=18 1/12

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The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
$A_{n}=A_{1}+(n-1)d$

$A_{n}$ is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so $A_{1}=47$
d=-2 because the question gives you that

$A_{n}=A_{1}+(n-1)d$
 $A_{29}=47+(29-1)(-2)$
 $A_{29}=47+(28)(-2)$
 $A_{29}=47+-56$
 $A_{29}=-9$

The answer is A. -9.

 

The answer is C. 158

For the second one, it gives you $A_{1}=4$ and $A_{}=18$
You can use this to find d

 $A_{n}=A_{1}+(n-1)d$
 $A_{3}=4+(3-1)d$
 $18=4+(3-1)d$
 $18=4+2d$
 $14=2d$
 $7=d$

Now you can just solve using the equation normally.
 $A_{n}=A_{1}+(n-1)d$
 $A_{23}=4+(23-1)(7)$
 $A_{23}=4+(22)(7)$
 $A_{23}=4+154$
 $A_{23}=158$

The answer is C. 158

8 0

4 years ago

Read 2 more answers

A digital camera costs $185 and the sales tax rate is 5.7%. What is the total cost of the camera after tax

Dovator [93]

♥ To solve find how much this will cost AFTER the price increases.
♥ Solve:
Multiply the original price as it is by: 1.057 (5.7 as a decimal would be 0.057, but as i said to keep the original price, the 1 will keep it there.)
 $185 * 1.057 = $195.545$
Final answer: $195.54

7 0

3 years ago

The state of Maryland charges a 6% sales tax on most merchandise sold. you purchase a new shirt for 25% how much do you pay?

Yuri [45]

If your question is 25 dollars for the shirt then the ansewer is $26.5 hope this helps.

3 0

3 years ago

-7,-12,-17,-22,-27 find the nth term

Bess [88]

Answer:

-2 - 5n

Step-by-step explanation:

-7, -12, -17, -22, -27.....

Arithmetic Sequence

first term a = -7

difference = d = -12 - (-7) = -12 + 7 = (-5)

nth term = a + (n-1)d

= -7 + (n-1)*(-5)

= -7 + (-5)*n -1 * (-5)

= -7 - 5n + 5

= -2 - 5n

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4 years ago

Which is the solution for the system of equations?

Nat2105 [25]

The first option is correct

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3 years ago

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