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Rainbow [258]
2 years ago
13

3^−1⋅(4⋅6)⋅2^−3 Enter your answer in the box.

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
7 0

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

and a^{-1}=\dfrac{1}{a};\ a^{-n}=\dfrac{1}{a^3}

3^{-1}\cdot(4\cdot6)\cdot2^{-3}=\dfrac{1}{3}\cdot24\cdot\dfrac{1}{2^3}=\dfrac{24}{3}\cdot\dfrac{1}{8}=\not8^1\cdot\dfrac{1}{\not8_1}=1

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Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM. If Faye uses an out-of-network ATM twice
Mars2501 [29]

Answer: the amount of money that she pays in service fees yearly is $234

Step-by-step explanation:

The number of times that Faye uses an out of network ATM is twice in a week. Assuming that the total number of weeks in a year is 52 weeks in a year. It means that the number of times that she uses an out of network ATM in a year is 62 × 2 = 104 times.

Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM. It means that the total cost for using an Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM for 104 times will be

2.25 × 104 = $234

4 0
3 years ago
What value of x is in the solution set of 3(x – 4) > 5x + 2?
bonufazy [111]

We have to simplify and get the value of x from this inequality given:

Given inequality,

3(x - 4) > 5x + 2

Now let's simplify by using distributive property,

3x - 12 > 5x + 2

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

3x - 12 - 5x  - 2 > 0

- 2x - 14 > 0

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be <u>reversed</u>.

\dfrac{ - 2x - 14}{ - 2}  >  \dfrac{0}{ - 2}

x + 7 < 0

Now subtracting -7 from both sides,

x + 7 - 7 < 0 - 7

x <  - 7

Or, Interval of the equal (- \infin, -7 ]

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

3 0
3 years ago
afamily had dinner in a restaurant. If the cost of the cdinner was Rs. 2500, how much did the family pay with 10% service charge
yan [13]

Step-by-step explanation:

Find 10%:

100% = 2500

1% = 2500 divide 100

= 25

10% = 25 x 10 = 250

Find the 13% vat:

13% = 25 x 13 = 325

Find the total amount he got charged:

325 + 250 = 575

Total amount he had to pay for dinner + charges:

2500 + 575 = 3075

Answer: Rs. 3075

3 0
3 years ago
Which one of the following options is true when considering the expansion of
Ilya [14]

Answer:

c The expansion of (x + y)^6 will yield 7 terms

Step-by-step explanation:

(x + y)^6 =

x^6 +6x^5y + 15x^4y^2 + 20x^3y^3 + 15x^2y^4 + 6xy^5 + y^6

so its a no on A

its a no on B because its missing a 20

its a yes on c

its a no on d because the sum is 6

so c

5 0
2 years ago
1. MAKE SURE TO WAIT UNTIL YOU HAVE MATH CLASS BEFORE STARTING 5 points
andrew-mc [135]

Answer:

340/4

Step-by-step explanation:

i beleive the answer would be 340 = 4 but if 340/4 is an option you could choose it.

8 0
2 years ago
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