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3 years ago

Which Expression Is Equivalent to 1/6 - 3/8 + 1/2

Mathematics

1 answer:

lianna [129]3 years ago

4 0

Answer:

d) 1/6 + (-3/8) + 1/2

Step-by-step explanation:

For equivalence, the sign of each term must match the original. Here's how the answer choices stack up:

a) wrong sign for -3/8

b) wrong sign for -3/8 and for 1/2

c) wrong sign for 1/2

d) correct choice

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For the following geometric sequence, find the explicit formula. {1, -3, 9, ...} an = -3 · an - 1 where a1 = 1 an = -3 · an - 1

goldfiish [28.3K]

{ 1,-3,9...}

an = a1 * r^(n-1)
a1 = first term = 1
r = common ratio = -3

so ur formula is : an = 1 * -3^(n-1)

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3 years ago

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The number of males in the classroom is three more than twice the number of females. Of the total number of students is 57, how

dolphi86 [110]

Answer:

Step-by-step explanation:

Given that the number of males in the classroom is three more than twice the number of females.

the total number of students is 57

Let x be the no of males then no of females = $57-x$

Also we have 3 more than twice no of females as

$2(57-x)+3$

This equals x

$2(57-x)+3=x\\114-2x+3=x\\3x=117\\x=39$

No of males = 39, no of females = 18

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3 years ago

Joe deposit $4000 into an account that pays simple interest to rate of 2% per year how much interest would be paid in the first

fenix001 [56]

Answer is $240.00 because 2% of $4000 is 80. Multiply 80 by 3 years and you get $240.00

6 0

3 years ago

(7)/(3) of it is 5 (5)/(6)

slava [35]

let's firstly convert the mixed fraction to improper fraction and then take it from there, keeping in mind that the whole is "x".

$\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}x~~ = ~~5\frac{5}{6}\implies \cfrac{7}{3}x~~ = ~~\cfrac{35}{6}\implies 42x=105\implies x=\cfrac{105}{42} \\\\\\ x=\cfrac{21\cdot 5}{21\cdot 2}\implies x=\cfrac{21}{21}\cdot \cfrac{5}{2}\implies x=1\cdot \cfrac{5}{2}\implies x=2\frac{1}{2}$

7 0

1 year ago

7) Diego travels from Odessa to el Paso approximately 300 miles apart

bulgar [2K]

Answer:

≈3hrs 45mins

Step-by-step explanation:

d=300 miles

s=80mph

Formula: distance/speed=time

Using the formula:

300/80=3.75 hours

0.75 hours=45mins

(To work that out ^) 0.75=x/60

∴ 60*0.75=45mins

Solution: 3hrs 45mins

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3 years ago