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emmainna [20.7K]
3 years ago
8

What is (2/3 x 3/5) - (3/4 x 1/6)

Mathematics
2 answers:
Kaylis [27]3 years ago
8 0

Answer:

2/3×3/5=2/3. 3/4×1/6=1/8

2/3-1/8=11/40

Serggg [28]3 years ago
4 0

Answer:

<h3>\boxed{ \frac{11}{40} }</h3>

Step-by-step explanation:

( \frac{2}{3}  \times  \frac{3}{5} ) - ( \frac{3}{4}  \times  \frac{1}{6} )

Reduce the numbers with Greatest common factor 3

⇒\mathsf{(2 \times  \frac{1}{5} ) - ( \frac{1}{4}  \times  \frac{1}{2} )}

Calculate the product

⇒\mathsf{( \frac{2}{5} )- ( \frac{1}{4}  \times  \frac{1}{2}) }

Subtract the fractions

⇒\mathsf{ \frac{2 \times 8 - 1 \times 5}{40} }

⇒\mathsf{ \frac{16 - 5}{40} }

⇒\mathsf{ \frac{11}{40} }

Hope I helped!

Best regards!

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Evan invested $800 in an account that pays 3.25% interest compounded annually.
Aleksandr [31]

Answer:

Evans would have $852.8

Step-by-step explanation:

Given

PV = \$800

r = 3.25\%

t = 2

n = 1 --- annually'

Required

The future value

This is calculated using:

FV = PV*(1 + \frac{r}{n})^{nt

So, we have:

FV = 800 * (1 + 3.25\%/1)^{2*1}

FV = 800 * (1 + 3.25\%)^{2}

FV = 800 * (1 + 0.0325)^{2}

FV = 800 * (1 .0325)^2

FV = 852.845

FV = 852.8

FV =

8 0
3 years ago
Mariana averaged 80 on her first three math exams. The first score was 86. The second score was 74. What was the third exam scor
Anna71 [15]

The three scores are 86, 74, and an unknown score x. The average (i.e. the sum divided by how many there are) is 80, so we have

\dfrac{86+74+x}{3}=80

Multiply both sides by 3 and you get

160+x=240

Subtract 160 from both sides to get

x=240-160=80

Note: you could solve this exercise very quickly if you notice that the two numbers, 86 and 74, are symmetrical with respect to 80, which is the average. So, the third number must be the average.

6 0
3 years ago
B(t)=4*e^0.8t, How many hours will it take for the population to grow to 400?
Mariulka [41]
Given:  "<span>B(t)=4*e^0.8t, How many hours will it take for the population to grow to 400?"   Set B(t) = 400.  Then:

400=4*e^(0.8t), or

100 = e^(0.8t)

Take the natural log of both sides, obtaining
                                       ln 100
ln 100 = 0.8t.  Then t = ----------- = 5.76 hours.
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7 0
3 years ago
What is the answer??
LekaFEV [45]

Answer:

3 1/5 (or 3.5)

Step-by-step explanation:

2(7) - 7(-1)

_______

7 + -1

Next:

14 + 7 (two negatives make a positive)

_____

6

Next:

21/6 which equals 3 1/2 (3.5)

7 0
2 years ago
Which expression represents the value of the series below?<br> 3+ 7 + 11 + 15 + ... + 1,671
torisob [31]

Answer:

Step-by-step explanation:

This is an Arithmetic Series with common difference 4 and first term 3

so the nth term an = 3 + (n -1)4

= 4n - 1.

The sum of n terms

= n/2 (a1 + L)

= n/2(3 + 1671)

=  837n.

There are (1671-3) / 4 + 1 = 418 terms in the series,

so the total value of the series is 837*418

= 349,866.

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4 0
2 years ago
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