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Andrews [41]
2 years ago
15

Find an ordered pair to represent t in the equation t = 4u+6v if u = (-1,4) and v =(3,-2)

Mathematics
1 answer:
e-lub [12.9K]2 years ago
3 0

Answer:

It's (14, 4)

Step-by-step explanation:

You might be interested in
Make a table showing the probability distribution for the possible sums when tossing two four-sided dice (the sides are numbered
alexira [117]
We would have the following sample space:
(1, 1), (1, 2), (1, 3), (1, 4)
(2, 1), (2, 2), (2, 3), (2, 4)
(3, 1), (3, 2), (3, 3), (3, 4)
(4, 1), (4, 2), (4, 3), (4, 4)

Those give us these sums:
2, 3, 4, 5
3, 4, 5, 6
4, 5, 6, 7
5, 6, 7, 8

P(sum of 2) = 1/16 =0.0625
P(sum of 3) = 2/16 = 0.125
P(sum of 4) = 3/16 = 0.1875
P(sum of 5) = 4/16 = 0.25
P(sum of 6) = 3/16 = 0.1875
P(sum of 7) = 2/16 = 0.125
P(sum of 8) = 1/16 = 0.0625
8 0
3 years ago
The ratio of men to women working for a company is 8 to 5 . If there are 125 women working for the company, what is the total nu
kobusy [5.1K]

Answer:

325 employees

Step-by-step explanation:

men to women is

8:5

125/5 is 25

8*25=200

200+125=325

325 employees

3 0
2 years ago
Read 2 more answers
A map has a scale of 1:5000000000 .
erastova [34]

Considering the definition of scale, you obtain:

  • the real length of the road is 500,000 km.
  • the real area of the farm is 300 hectares.

<h3>Definition of map</h3>

A map is the conventional graphical representation of a portion of the earth or another celestial body that shows the size and position of elements of the landscape according to the selected scale and projection. That is, a map is a representation of a place, at a size smaller than the actual size.

<h3>Definition of scale</h3>

The scale of a cartographic representation, or map scale (m), is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. In general, it is also defined as the ratio of the lengths of a linear element in the plane and its representation on the terrestrial reference surface.

That is, the scale of the map is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

<h3>Real length of the road</h3>

A map has a scale of 1:5000000000. This indicates that 1 unit on the map is equivalent to 5,000,000,000 in reality.

You know that the road on the map is 10 cm or 0.0001 km long (knowing that 1 km= 100,000 cm).

Then you can apply the following rule of three: if by definition of scale 1 km on the map is equivalent to 5,000,000,000 km in reality, 0.0001 km on the map is equivalent to how much distance in reality?

real length of the road=\frac{0.0001 kmx 5,000,000,000 km }{1 km}

<u><em>real length of the road= 500,000 km</em></u>

Finally, the real length of the road is 500,000 km.

<h3>Real area of the farm</h3>

You know that the area of a farm of the map is 6 cm square, 0.0006 m sr 0.00000006 hectares (knowing that 1 cm square= 0.0001 m square and 10,000 m square= 1 hectare).

Then you can apply the following rule of three: if by definition of scale 1 hectare on the map is equivalent to 5,000,000,000 hectares in reality, 0.00000006 hectares on the map is equivalent to how much area in reality?

real area of the farm=\frac{0.00000006 hectaresx 5,000,000,000 hectares }{1 hectare}

<u><em>real area of the farm= 300 hectares</em></u>

Finally, the real area of the farm is 300 hectares.

<h3>Summary</h3>

In summary, you get:

  • the real length of the road is 500,000 km.
  • the real area of the farm is 300 hectares.

Learn more about scale:

brainly.com/question/15394385

brainly.com/question/27928319

brainly.com/question/11001778

brainly.com/question/23134978

#SPJ1

7 0
1 year ago
3(3x+9)=-5-2x what is x
-BARSIC- [3]

Answer:

x=2.9

Step-by-step explanation:

3(3x+9)= -5-2x ( distribute)

9x+27= -5-2x (add 2x) (subtract 27)

11x= 32 ( divide by 11)

x= 2.9

3 0
3 years ago
A building is 3 ft from an 8​-ft fence that surrounds the property. A worker wants to wash a window in the building 13 ft from t
zloy xaker [14]

Answer:

Length of the ladder used by worker = 17 feet

Step-by-step explanation:

Given:

Height of the window from the ground = 13 ft

Distance of fence from the building = 3 ft

Distance of ladder from the building = (3+8) = 11 ft

We have to find the length of the ladder.

Let the length of the ladder be 'x'

From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.

Using Pythagoras formula:

⇒ hypotenuse\ 'x' =\sqrt{(perpendicular)^2+(base)^2}

Here base length = 11 ft

Perpendicular = 13 ft

Plugging the values:

⇒ x=\sqrt{(13)^2+(11)^2}

⇒  x=\sqrt{(169+121)}

⇒ x= \sqrt{290}

⇒ x=17.02 feet

The length of the ladder = 17 feet to its nearest tenth.

6 0
3 years ago
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