Evaluate d-(-3.5) when d=2.74

Answers

Answer 1

Answer: d-(-3.5)
d + 3.5

d = 2.74
2.74 + 3.5 = 6.24

Hope I helped!

Answer 2

Answer: Add 2.74 and 3.5 because double negative makes positive. The answer is 6.24

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Determine whether the quantities in the problem vary directly or inversely and then solve the problem. A mill processes 48 tons of flour in 15 hours. How many tons of flour can the mill process in 20 hours if its rate or production stays the same?

Answers

Answer:

Step-by-step explanation:

U have a direct proportion

48 tons of flour to 15 hrs = x tons of flour to 20 hrs

48 x

------- = ------- cross multiply

15 20

(15)(x) = (48)(20)

15x = 960

x = 960/15

x = 64 <==== 64 tons

Answer:

64 tons

Step-by-step explanation:

directly proportional :)

What's 5 5/6 as a improper fraction

Answers

Answer: 35/6
Work: 5*6=30
30+5=35
35/6

The figure shows the location of three points around a lake. The length of the lake, BC, is also shown.(The figure is not drawn to scale.)

Which of the following choices is closest to the distance (in miles) between points A and B?

3.16 miles
3.46 miles
4.47 miles
490 miles

Answers

Answer:

The distance between points A and B is 4.47miles.

Step-by-step explanation:

Pythagoras' theorem-

It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Here, AC is the hypotenuse and AB and BC are the two legs.

Applying the Pythagoras' theorem,

$\Rightarrow AC^2=AB^2+BC^2$

$\Rightarrow AB^2=AC^2-BC^2$

$\Rightarrow AB=√(AC^2-BC^2)$

$\Rightarrow AB=√(6^2-4^2)=√(36-16)=√(20)=4.47$

$a^2 + b^2 = c^2\n\n 4^2 +AB^2 = 6^2 \n\nAB^2 = 6^2 -4^2\n\nAB^2 = 36-16\n\nAB^2 = 20\n\nAB = √(20) \n\nAB = \boxed {4.47}$

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 72 miles due north of the warehouse.A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?

54 miles
72 miles
144 miles
162 miles

Answers

Answer:

C. 144 miles

Step-by-step explanation:

We have that the truck traveled from the warehouse to the airport and then to factory.

First we will find the distance between the warehouse and the airport using the 'Distance formula'.

'Distance Formula' gives the distance between two points $(x_(1),y_(1))$ and $(x_(2),y_(2))$ by $\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}$ .

As, from the graph, we have,

Warehouse is located at (27,-36) and Airport is located at (-27,36).

So, the distance between them is,

$\sqrt{(-27-27)^(2)+(36-(-36))^(2)}$

i.e. $\sqrt{(-27-27)^(2)+(36+36)^(2)}$

i.e. $\sqrt{(-54)^(2)+(72)^(2)}$

i.e. $√(2916+5814)$

i.e. $√(8100)$

i.e. $90$

So, the distance from warehouse to the airport is 90 miles.

Moreover, as the truck further traveled to the factory which is 72 miles north of the warehouse.

So, the factory is located at (27,72-36) i.e. (27,36).

Then, the distance from the airport (-27,36) to the factory is (27,36) is,

$\sqrt{(27+27)^(2)+(36-36)^(2)}$

$\sqrt{54^(2)+0^(2)}$

$√(2916)$

$54$

So, the distance from airport to the factory is 54 miles.

Thus, the total distance traveled by the truck is 90 + 54 = 144 miles.

Hence, option C is correct.

If have the same numerator but different denominators which one is greater

Answers

The one with the lowest denominator.

the one with the lowest denominator

Country Name Short Program Free ProgramCanada Patrick Chan 97.52 178.10
Spain Javier Fernandez 86.98 166.94
Japan Yuzuru Hanyu 101.45 178.64
Japan Tatsuki Machida 83.48 169.94
Kazakhstan Denis Ten 84.06 171.04

For one of the planned elements of Patrick Chan's free program, the judges awarded him 1.9 times the base score of the element. If they awarded him 3.80 points, what was the base score of the element?
_________ points.

Answers

Final answer:

The base score of the element for which Patrick Chan was awarded 3.80 points, being 1.9 times the base score, is 2 points.

Explanation:

Patrick Chan's base score for the particular element can be calculated by dividing the score awarded by the judges by the multiplication factor. Given the score awarded was 3.80 points and this was 1.9 times the base score, we can find the base score by dividing 3.80 by 1.9. Hence, the base score of the element can be found using the formula:

Base Score = Score Awarded / Multiplication Factor

Substituting our values we get:

Base Score = 3.80 / 1.9 = 2 points.

So, the base score for the element that was performed by Patrick Chan was 2 points.

Learn more about base score here:

brainly.com/question/2986523

#SPJ12

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