The scoop of an excavator holds 27 ft3 of sand. If the capacity of a freight car is 40 tons of sand and we know that 1 ft3 of sand weighs 0.5 tons, how many freight cars can be filled with 120 loads?

Answers

Answer 1

Answer: 27ft³=x tons
1ft³=0.5 tons

$(27cubicfeet)/(x_t_o_n_s) = (1cubic foot)/(0.5 tons)$

Cross multiply
1x=13.5tons
x=13.5tons

So one scoop/load carries 13.5 tons of sand. Lets see how many 120 loads can carry.

13.5tons*120loads=1620 tons of sand

Now lets see how freight cars it would take to hold 1620 tons of sand

1620/40=40.5 freight cars

Since you can't have .5 of a freight car, lets round 40.5 up to 41

Answer=41 freight cars

Answer 2

Answer:

Answer:

40.5

Step-by-step explanation:

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Answer:

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Answer:

I hope everyone is safe during this quarantine. It is times like these where we are better together. We (my family and I) are praying for all those who have been affected or knows someone who has beed affected. Hope everyone is safe and healthy. And thanks to you, I am able to say something nice to those who need to hear it!

Step-by-step explanation:

Enter the exponents for the variables of the GCF of the following monomials.9x 2 y 2 and 5x 2 y 3

Answers

The smallest exponents of the x and y term are 2. The Greatest Common Factor ( G C F ) for 9 x² y² and 5 x² y³ is: x² y².

Answer:

The GCF of monomial $9x^2y^2$ and $5x^2y^3$ is $x^2y^2$

Step-by-step explanation:

Given monomial $9x^2y^2$ and $5x^2y^3$

We have to find the GCF of the given monomial.

GCF stands for greatest common factor that is a factor that divides the given numbers.

$9x^2y^2$ can be written in factors form as

$9x^2y^2=3 \cdot 3 \cdot x \cdot x \cdot y \cdot y$

And

$5x^2y^3$ can be written in factors form as

$5x^2y^3=5\cdot x \cdot x \cdot y \cdot y \cdot y$

Taking common factor, we have $x^2y^2$

Thus, the GCF of monomial $9x^2y^2$ and $5x^2y^3$ is $x^2y^2$

In PQRS, PR and QS intersect at T. What additional information is needed to conclude that PQRS is a rectangle

Answers

If it's congruent and similar

20% of 90, and i have to show workings out

Answers

10% of 90 is 9, 10% times 2 is 20%, therefore 20% of 90 is 2*10% of 90, or 18

It helps to know that 10% of anything is the number divided by 10. So 10% of 90 = 9. As it is 20% and not 10, just do it twice and add them together :) OR just times it by 2 which is much easier. So 9 x 2 = 18.

10% of a number is the number divided by 10.
5% of a number is the number divided by 10 THEN divided by 2.
1% of a number is the number divided by 100.

What is the solution to the linear equation?

6k + 10.5 = 3k + 12

Answers

Answer: 0.5

Step-by-step explanation:

The given equation: $6k + 10.5 = 3k + 12$

To solve the above equation for k , we first subtract 3k from both the sides , we get

$6k + 10.5 -3k= 3k + 12-3k\n\n\Rightarrow\ 3k+10.5=12$

Subtract 10.5 from both sides

$3k=12-10.5\n\n\Rightarrow\ 3k=1.5$

Divide 3 on both the sides , we get

$k=(1.5)/(3)=0.5$

Hence, solution to the linear equation : k = 0.5

6k+10.5=3k+12
-10.5 -10.5
6k=3k+1.5
-3k -3k
3k=1.5

Guillmero wants to purchase a new controller for his video game System. He has a $10 off coupon for big electronics. At costmart there is a 25% off sale on any item . regular price for the controllers at both stores is $49.99. Write an inequality and tell where guillermo will get the better price.

Answers

If you would like to know where Guillmero will get the better price, you can calculate this using the following steps:

a coupon: $49.99 - $10 = $39.99

Costmart: 25% of $49.99 = 25% * 49.99 = 25/100 * 49.99 = $12.4975 = $12.50
$49.99 - $12.50 = $37.49

Guillmero will get a better price at Costmart.

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