All categories

2 years ago

Which system of linear equations can be solved using equation [x y] = [1/4 3/4 1 2] [28 -12]

Mathematics

1 answer:

ahrayia [7]2 years ago

6 0

-8x+3y=28

4x-y=-12

<u><em>Step-by-step explanation:</em></u>

Let's find x and y from matrices and then check for this systems.

$\left \[[ {{\frac{1}{4} *28-\frac{3}{4}-12 } \atop {1*28-2*12}} \right.]$

Simplify, so we got

7-9

28-24

------

So x=-2

y=4

So we need to put those values and check system.

You might be interested in

What are the variables in the graph below?

bezimeni [28]

For the first one...
1,15
2,30
3,20
and for the second one is the same as the first one.
EXTRA CREDIT:
Week one increases by 15, week two increases by 15 but week three decreases by 15. The total miles ran would be 15 miles
15+15=30 30-15=15 miles

8 0

3 years ago

A patient is to take 4 2/3 tablespoons of medicine per day in 4 equally divided doses. How much medicine is to be taken in each

anygoal [31]

Answer:

1 1/6

Step-by-step explanation:

4 2/3 ÷ 4

Convert the mixed number into an improper fraction:

4 2/3 = 14/3

14/3 ÷ 4

14/3 ÷ 4/1

Use cdf (copy dot flip)

14/3 × 1/4

14 × 1 / 3 × 4

14/12

Convert improper fraction into a mixed number:

14/12 = 1 2/12

1 1/6

6 0

3 years ago

What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)

Natasha2012 [34]

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

Step-by-step explanation:

The given is,

Composite figure is combination of a half sphere and cone

Both have a radius of 4 centimeters

The cone has a height of 15 centimeters

Step:1

Volume of composite figure = Volume of half sphere + Volume of cone

Step:2

Formula for volume of semi sphere,

$Volume of half sphere, V_{Half sphere} = \frac{2}{3} \pi r^{3}$

Where, r - Radius of Half sphere,

From given, r = 4 centimeters

$V_{Half sphere} = \frac{2}{3} \pi 4^{3}$

$= (0.6667) (3.14) (64)$ (∵ $\pi$ = 3.14 )

$V_{Half sphere}$ = 133.9733 cubic centimeters

Formula for volume of cone,

$Volume of cone, V_{cone} = \frac{1}{3} \pi r^{2} h$

where, r - Radius of cone

h - Height of cone

From given,

r = 4 centimeters

h = 15 centimeters

Volume of cone,

$V_{cone} = \frac{1}{3} \pi 4^{2}(15)$

$= (0.333333) (3.14)(16)(15)$ (∵ $\pi$ = 3.14 )

$V_{cone}$ $= 251.1997$ cubic centimeters

Step:3

Volume of composite figure = 133.9733 + 251.1997

Volume of composite figure = 385.17 cubic centimeters

Result:

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

4 0

3 years ago

Read 2 more answers

Prove this conjecture

steposvetlana [31]

Answer:

See explanation

Step-by-step explanation:

Consider the natural number $n(n+1)(n+2).$