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 dose?

Answer:

1000

[tex]1000 \sqrt{6} [/tex]

Step-by-step explanation:

Given: Dimensions of each triangular piece used in umbrella.

Reasoning: By using Heron’s formula, we can calculate the area of a triangle.

Heron's formula for the area of a triangle, Area = √s(s - a)(s - b)(s - c)

Where a, b, and c are the sides of the triangle, and

s = Semi-perimeter = Half the Perimeter of the triangle = (a + b + c)/2

We know that umbrella is made of 10 triangular pieces of cloth of two different colours.

Let us calculate the area of one triangle.

For each triangle, a = b = 50 cm, c = 20 cm

Semi Perimeter

s = (a + b + c)/2

= (50 + 50 + 20)/2

= 120/2

= 60 cm

By using Heron’s formula,

Area of triangle = √s(s - a)(s - b)(s - c)

= √s(s - a)(s - b)(s - c)

= √60(60 - 50)(60 - 50)(60 - 20)

= √60 × 10 × 10 × 40

= 200√6 cm2

Therefore,

Area of 10 triangular pieces = 10 × 200√6 cm2 = 2000√6 cm2

Hence, cloth required for each colour = (Total area of the cloth)/2

= (2000√6)/2

= 1000√6 cm2

Thus, 1000√6 cm2 cloth of each colour is required for the umbrella

Answer:

n=2

Step-by-step explanation:

-5n-4(-7-4n)=36+7n

Distribute

-5n +28 +16n = 36+7n

Combine like terms

11n +28 = 36+7n

Subtract 7n from each side

11n+28-7n = 36+7n-7n

4n+28 = 36

Subtract 28 from each side

4n+28-28 = 36-28

4n = 8

Divide by 4

4n/4 = 8/2

n=2

Step-by-step explanation:

1) As U is the mid point of TV ,it divides the whole line in two equal parts:

TV=TU+UV

TU=UV

Subtitute values:

5x+6=23+23

5x+6=46

5x=46-6

5x=40

x=40/5

x=8

2) Q is mid point of PR so PQ=QR

PR=PQ+QR

15x-29=6x-1+6x-1

15x-29=12x-2

15x-12x=29-2

3x=27

x=27/3

x=9

Note:if you need to ask any question please let me know.

Step-by-step explanation:

3/5 of a kilometre

=3/5×1000 meters

=3000/5 meters

=600 meters

Answer:

600 metres

Step-by-step explanation:

1 kilometre equals 1,000 metres.

[tex]\frac{3}{5}[/tex](1000) = 600 metres

If you need more clarification, ask me in the comments. Thanks!

Answer:

30.4n

Step-by-step explanation:

10+8+6.3n+6.1n

18+12.4n

30.4n

Answer:

[tex](312 \div 35) \div (32 \times 3) \\ \\ 8.914 \div 96 \\ \\ = 0.09[/tex]

let's assume the temperature on 5th day be x

We know that :

[tex] \boxed{mean = \frac{sum \: \: of \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]

So,

[tex] \hookrightarrow \: 0 = \dfrac{ - 2 + ( - 2) + ( - 2) + ( - 2) + x}{5} [/tex]

[tex] \hookrightarrow \: 0 \times 5= - 2 - 2 - 2 - 2 + x[/tex]

[tex] \hookrightarrow \: 0 = - 8 + x[/tex]

[tex] \hookrightarrow \: x = 8[/tex]

Therefore, temperature on the fifth day was x = 8

Answer:

76

Step-by-step explanation:

How many numbers are between 256 and 789 are divisible by 7 ?

Generalizing, we could look for a procedure that, given two integers A and B, with B>A , and a module M, tells us how many integers x, with A<=x<=B , are divisible by M.

a) let n1 be the lowest integer >=A such that n1 is divisible by M.

If n1>B , than not even n1 has the required properties and the output of the procedure is 0; otherwise, go to the next step.

n1 will be the first number of the sequence of numbers divisible by M.

b) let n2 be the highest integer <=B such that n2 is divisible by M.

Notice that it’s not possibile that n2<A , as you alway have the possibility n2=n1 .

n2 w

A simple way to think about this is by calculating the largest multiple of 7 less than 256 (let’s call it y) and the smallest multiple of 7 greater than 789 (let’s call it x). The answer is then all the multiples of 7 in between these two numbers, which can be represented by:

x−y7−1

Let’s do it:

252 is the largest number less than 256 divisible by 7. y = 252

791 is the smallest number greater than 789 that’s divisible by 7.

Thus, our answer is 113-36–1 = 76.

Note: we subtract 1 or else we would include the number on the top end of the range (in this case, 791).

Hope it helped you!!

Pls mark me the brainliest :)

Answer:

B.

Step-by-step explanation:

ik just trust because first one is less than so its undefined and the other is less then or equal to

Answer:

21 + 14x - 56 - 42x + 168

= 133  - 28x

Step-by-step explanation:

Answer:

19 - 4x

Step-by-step explanation:

[tex]3 + 2(x - 4) - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6x + 24[/tex]

[tex]19 + 2x - 6x[/tex]

[tex]19 - 4x[/tex]

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:

Answer:

n = 7

Step-by-step explanation:

-2(-6n-3)-8=82,

12n + 6 - 8 = 82,

12n -2 = 82,

12n = 84,

n = 7

Answer:

n=7

Step-by-step explanation:

-2(-6n-3)-8=82

Add 8 to both sides

-2(-6n-3)-8+8=82+8

Simplify

-2(-6n-3)=90

Divided both sides by -2

-2(-6 -3) = 90

2 -2

Simply

-6n-3=-45

Add 3 to both sides

-6n-3+3=-45+3

Divided both side by -6

-6n = -42

-6. -6

Simply

n=7

Answer:

$47

Step-by-step explanation:

110-63=47

Answer:

+$47

Step-by-step explanation:

As you are calculating for change, assume that the bank account has $0.

Judy wrote a check for $63, or she withdrew $63:

0 - 63 = -63.

Next, she deposited $110, or she added $110:

-63 + 110 = 47

The over all change to her account is a net profit of +$47.

~

Answer:

(8-w)-10

so -w-2

if w is a variable... sorry this answer is just for reference

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

90-35=125

180-125=55

55x4=220

220= 200

Answer:

60%

Step-by-step explanation:

percent means out of 100

3/5 * 20/20

60/100

60 %

Answer:

C. 60%

Step-by-step explanation:

Answer:

15.07352941

Step-by-step explanation:

in short 15.07

Answer:

[tex]f(x) = {3}^{x} \\ f(x +1) = {3}^{(x + 1)} \\ f(x) + f(x + 1) \\ = {3}^{x} + {3}^{(x + 1)} \\ = {(1 \times 3}^{x} ) +( 3 \times {3}^{x} ) \\ By \: taking \: {3}^{x} \: common, \: we \: get \\ (1 + 3) \times {3}^{x} \\ = 4 \times {3}^{x} \\ = 4f(x)[/tex]

Answer:

[tex] \sqrt{24} = 4.9[/tex]

[tex] \sqrt{102} = 10.1[/tex]

positive integers = x

4.9 < x < 10.1

x = 5, 6, 7, 8, 9, 10

sum = 5 + 6 + 7 + 8 + 9 + 10

= 45

Answer: 17

Step-by-step explanation:

since there are two minuses, you change them to a plus and add, ending up with 5+12 to get 17

Answer: y is 240

Step-by-step explanation:

Answer:

C = 80

Step-by-step explanation:

A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.

It has 1 interesting property that should concern you: <B + <D = 180 degrees.

3x - 59 + 2x - 1 = 180          Combine like terms

5x - 60  = 180                     Add 60 to both sides.

5x = 180 + 60

5x = 240

x = 240/5

x = 48

Now go to 2x + 4.

x = 48

A = 2*48 + 4

A = 96 + 4

A = 100

So C = 180 - 100

C = 80

Answer:

-12

Explanation:

2x + 8y

x = -7 and y = -1/4

plug in values of x and y

2(-7) + 8(-1/4)

multiply 2 and -7

-14 + 8(1/4)

multiply 8 and 1/4

-14 + 2

add

=-12

Answer:

2(-7)=8(1/4)

-14+8x1/4

-14+8/4

-14+2

-12

Step-by-step explanation:

Answer:

rational

irrational

rational

rational

Step-by-step explanation:

Square root 16 = 4 rational since it can be written as a fraction of integers

Square root 12 = 2 * sqrt(3) irrational since sqrt(3) is irrational

12/5 rational since it is a fraction of integers

0.36274959282619 rational since it is a terminating decimal

Answer:

35

Step-by-step explanation:

It is in the above photo .

Answer:

A, C, D

Step-by-step explanation:

This is because the ratio between te consecutive terms are constant, that is ×2, ×0.5 and ×3 respectively

Answer:

-60,-11,-3,5.5,11,31

Answer:

HJ = 17

IK = 30

Step-by-step explanation:

to find HI :

GH : 2

HI : ?

IJ : 12

GI : 7

HI = GI - GH

HI = 7- 2

HI = 5

HI + IJ = HJ

5 + 12 = HJ

17 = HJ

To find IK

IJ = ?

JK = 12

KL = ?

IL = 49

JL = 31

To find IK we need to find KL and IJ

KL = JL - JK

KL = 31 - 12

KL = 19

IJ = IL - (JK + KL)

IJ = 49 - 31

IJ = 18

IK = IJ + JK

IK = 18 + 12

IK = 30