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3 years ago

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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There are three exams in your linear algebra class, and you theorize that your score in each exam (out of 100) will be numerical

Romashka [77]

Answer:

a) 40 hours

b) 60 hours

C) 100 hours

Step-by-step explanation:

0.2a + 0.3b+0.5c = 76

Hence: 0.2* (0.2 λ) +0.3*(0.3 λ )+0.5*(0.5 λ ) = 76

0.38 λ =76

λ = 76/0.38 =200

Thus : 40, 60, 100

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3 years ago

Two thousand four hundred seventy-five and one tenth as a decimal

Delvig [45]

Answer:

2475.1

Step-by-step explanation:

2,475 1/10= 24751/ 10= 2475.1

6 0

3 years ago

The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s

Norma-Jean [14]

The positions when the particle reverses direction are:

$s(t_1)=55ft\\\\s(t_2)=28ft$

The acceleraton of the paticle when reverses direction is:

$a(t_1)=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=18\frac{ft}{s^{2}}$

Why?

To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.

Also, when the particle reverses its direction, the velocity is equal to 0.

We are given the following function:

$s(t)=2t^{3}-21t^{2}+60t+3$

So,

- Derivating to get the velocity function, we have:

$v(t)=\frac{ds}{dt}=(2t^{3}-21t^{2}+60t+3)\\\\v(t)=3*2t^{2}-2*21t+60*1+0\\\\v(t)=6t^{2}-42t+60$

Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:

$v(t)=6t^{2}-42t+60\\\\0=6t^{2}-42t+60\\\\0=t^{2}-7t+10\\(t-5)*(t-2)=0\\\\t_{1}=5s\\t_{2}=2s$

We know that the particle reversed its direction two times.

- Derivating the velocity function to find the acceleration function, we have:

$a(t)=\frac{dv}{dt}=6t^{2}-42t+60\\\\a(t)=12t-42$

Now, substituting the times to calculate the accelerations, we have:

$a(t_1)=a(2s)=12*2-42=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=12*5-42=18\frac{ft}{s^{2}}$

Now, substitutitng the times to calculate the positions, we have:

$s(t_1)=2*(2)^{3}-21*(2)^{2}+60*2+3=16-84+120+3=55ft\\\\s(t_2)=2*(5)^{3}-21*(5)^{2}+60*5+3=250-525+300+3=28ft$

Have a nice day!

3 0

3 years ago

Joan puts $400 into a bank account. Each year the account earns 7% simple interest. How much interest will be earned in four yea

Sladkaya [172]

$60

400 ÷ 7 = 57. 1428571429

Since that's not an option we estimate it. The closest number is $60 so, there's your answer!

I hope this helps! sorry if it's wrong :(

~ Kana ^^

3 0

3 years ago

One kitty weighs 2 pounds 4 ounces. Another kitten weighs 2 ounces less. What is the combined weight of the two kittens in ounce

My name is Ann [436]

70 ounces because there are 16 ounces in a pound so 16 x2 equals 32 + 2ounces equals 36 - 2 equals 34 , 34 + 36 = 70 ounces in total .

3 0

3 years ago