A new, healthy drink has 160% of the “recommended daily allowance” (RDA) of vitamin J. If the RDA is 40 milligrams, how much vitamin J is in the new health drink?

Answer:

Mathematical model is:

(895/n) + 25 ≤ 60

Number of students must not be less than 26

Step-by-step explanation:

We are told that;

- the rental of a bus for the day will cost $895.

- Lunch and festival activities will cost $25 per student

If the number of students are n, then cost per student for bus rent is; $895/n

Thus, total amount per n number of students to participate is;

895/n + 25

Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.

Thus in form of inequality, we have;

(895/n) + 25 ≤ 60

Subtract 25 from both sides to get;

(895/n) ≤ 60 - 25

(895/n) ≤ 35

Multiply both sides by n and then divide both sides by 35;

895 ≤ 35n

26 ≤ n

Answer:

Step-by-step explanation:

The absolute value equation for the amount of money in Sandy's pocket is given as;

|x - 245| = 25

The equation for the maximum amount of money in Sandy's pocket is given as;

x - 245 = 25

x = 25 + 245

x = $270

The equation for the minimum amount of money in Sandy's pocket is given as;

x - 245 = -25

x = -25 + 245

x = $215

Answer: f=-2

Step-by-step explanation:

math

Answer:

f < -2

Step-by-step explanation:

Answer:

y=-9x+9

Step-by-step explanation:

There are only two like terms in the equation which I have underlined.

y= 3x - 12x +9

To simplify it, you combine the like terms and get your equation in standard form.

Answer:

Correct I think

Step-by-step explanation:

9 is nearly half of 25. (12.5) Half is equal to 50%. 40 is close to 50 and 9 is close to 12.5. So, he is correct. I think, hope this helps.

Answer c I think

Step-by-step explanation:

Answer:

The value of b is 6 and the value of c is also 6

Step-by-step explanation:

We know that given triangles are congruent. When two triangles are congruent then their respective sides are also equal/congruent.

So,

ΔUWV≅ΔEDF

Then

WV ≅ DF

WU ≅ DE

UV ≅ EF

So,

Putting their respective value equal:

WV = DF

[tex]9c = 10c-6\\10c-6 = 9c\\10c-6+6 = 9c+6\\10c = 9c+6\\10c-9c = 9c+6-9c\\c = 6\\and\\10b = b+54\\10b-b = b+54-b\\9b = 54\\\frac{9b}{9} = \frac{54}{9}\\b = 6[/tex]

Hence,

The value of b is 6 and the value of c is also 6

Answer:37.5

Step-by-step explanation:

The work a crew will pave in an hour will be 8/5 miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a crew of highway workers paved 1/5 mile in 1/8 hour. The amount of work will be calculated as,

1 / 8 hours ⇒ 1 / 5 miles

1 hour ⇒ 8 x (1 / 5 ) miles

1 hour ⇒ 8 / 5 miles

Therefore, the work a crew will pave in an hour will be 8/5 miles.

To know more about an expression follow

https://brainly.com/question/16174575

#SPJ2

Answer:

Answer: the answer would be F

Step-by-step explanation:

Answer:

g(x) = √(2x)

Step-by-step explanation:

f(x) = 3x^2

g(f(x)) =√6x

g(3x^2) = x√6

g(x) must be √(2x)

because if we  substitute  x = 3x^2 in this we get

(√2(3x^2))

= √2√3√(x^2)

= √6 x

Answer:

[tex]y = -\frac{2}{3}x - 7[/tex]

Step-by-step explanation:

Given

[tex]Point = (6,-11)[/tex]

[tex]Equation: y = -\frac{2}{3}x + 12[/tex]

Required

Determine the equation of the point

First, we need to determine the slope of the point.

Since the point is parallel to the given equation, then they have the same  slope (m).

The general form of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = -\frac{2}{3}[/tex]

The equation of the point in slope intercept point is:

[tex]y -y_1 = m(x-x_1)[/tex]

Where

[tex]m = -\frac{2}{3}[/tex]

[tex](x_1,y_1) = (6,-11)[/tex]

Substitute these values in the equation:

[tex]y - (-11) = -\frac{2}{3}(x - 6)[/tex]

[tex]y +11 = -\frac{2}{3}(x - 6)[/tex]

[tex]y +11 = -\frac{2}{3}x + \frac{2}{3}*6[/tex]

[tex]y +11 = -\frac{2}{3}x + 4[/tex]

Subtract 11 from both sides

[tex]y = -\frac{2}{3}x + 4-11[/tex]

[tex]y = -\frac{2}{3}x - 7[/tex]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as what is required of the question is not stated.

However, since the question is only limited to distance, a likely question could be to calculate the distance from Bayville to Colleyville.

Represent the distance from Atlanta to Colleyville with AC

Represent the distance from Atlanta to Bayville with AB

Represent the distance from Bayville to Colleyville with BC

So, we have that:

[tex]AC = 25.5\ miles[/tex]

[tex]AB = 10\frac{2}{3}\ miles[/tex]

The relationship between AB, AC and BC is:

[tex]AC = AB + BC[/tex]

Make BC the subject of formula:

[tex]BC = AC - AB[/tex]

[tex]BC = 25.5 - 10\frac{2}{3}[/tex]

Convert fraction to decimal

[tex]BC = 25.5 - 10.7[/tex]

[tex]BC = 14.8[/tex]

Hence, the distance from Bayville to Colleyville is 14.8 miles

Answer:

(-3,0)

Step-by-step explanation:

Answer: The height of the building = 14.5 feet.

Step-by-step explanation:

Given: Length of ladder = 15 feet

Distance of base of ladder from building = 4 feet

Since building is standing vertical on ground making right angle.

So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]

According to the Pythagoras theorem ,

Hypotenuse² = Perpendicular² + Base²

⇒ (15)² =  Perpendicular² +  (4)²

⇒ 225 = Perpendicular² +16

⇒ Perpendicular² = 225 -16

⇒ Perpendicular² = 209

⇒  Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet

Hence, the height of the building = 14.5 feet.

Answer:

each side is 12 cm

Step-by-step explanation:

This is a simple equation, since a square is equal an all 4 sides, all you have to do it divide 72 by 4 to get your answer.

May I have brainliest please? :)

Answer:

An odd number is any number than can't be divided by two ! Some examples are 1, 3, and 5.

Any integer (not a fraction) that cannot be divided exactly by 2. The last digit is 1, 3, 5, 7 or 9. Example: −3, 1, 7 and 35 are all odd numbers.

Answer:

k

Step-by-step explanation:

k

Triangle has two solutions: a=4; b=5; c=1.051 and a=4; b=5; c=8.561.

Extra: #1 Obtuse scalene triangle.

Sides: a = 4   b = 5   c = 1.051

Area: T = 0.724

Perimeter: p = 10.051

Semiperimeter: s = 5.026

Angle ∠ A = α = 16° = 0.279 rad

Angle ∠ B = β = 159.846° = 159°50'45″ = 2.79 rad

Angle ∠ C = γ = 4.154° = 4°9'15″ = 0.073 rad

Height: ha = 0.362

Height: hb = 0.29

Height: hc = 1.378

Median: ma = 3.009

Median: mb = 1.517

Median: mc = 4.497

Inradius: r = 0.144

Circumradius: R = 7.256

Vertex coordinates: A[1.051; 0] B[0; 0] C[-3.755; 1.378]

Centroid: CG[-0.901; 0.459]

Coordinates of the circumscribed circle: U[0.526; 7.237]

Coordinates of the inscribed circle: I[0.026; 0.144]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 164° = 0.279 rad

∠ B' = β' = 20.154° = 20°9'15″ = 2.79 rad

∠ C' = γ' = 175.846° = 175°50'45″ = 0.073 rad

Answer:

1 / 8

Step-by-step explanation:

Given the data

_____Favor __Oppose__ No Opinion__Total

Demo 320___ 150 ______50 _______ 520

Repub 125___ 345 _____ 10 _________480

Total 445 ___495 ______60 ________ 1000

what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica

From the table provided :

n(favor n republican) / n(Total)

Number of republican who are in favor = 125

Total number of persons = 1000

Hence,

125 / 1000

= 1/8

Answer:

-24

Step-by-step explanation:

Although -24 is a negative number, it still is 24 numbers away from zero. 38 is positive and is 38 digits away.

Answer:

Since this graph is continuing, y must be any real number. So, d.

9514 1404 393

Answer:

  5

Step-by-step explanation:

To solve the inequality, we can do the following.

  4.55g + 8.50 ≤ 35 . . . given

  4.55g ≤ 26.50 . . . . . . subtract 8.50 from both sides

  g ≤ 5.82... . . . . . . . . . . divide both sides by 4.55

The number of games must be an integer value, so the maximum number of games they can bowl is 5.

9514 1404 393

Answer:

  (a) -29,884,416

  (b) C(n,(n -k)/2) . . . where C(n,k) = n!/(k!(n-k)!) and k ∈ ℕ

Step-by-step explanation:

(a) The coefficient of the k-th term of the expansion is ...

  C(20,k)(3x)^(20-k)(-2y)^k

For k=19, this is ...

  19(3x)(-2y)^19 = -29,884,416xy^19

The coefficient of the term is -29,884,416.

__

(b) The p-th term of the expansion of (x +1/x)^n is ...

  C(n,p)(x^(n-p)(1/x)^p = C(n,p)(x^(n-2p))

For some exponent k of x, the value of p will be ...

  k = n -2p

  p = (n -k)/2

Then the coefficient of x^k will be C(n, (n-k)/2), where C(n, x) = n!/(x!(n-x)!).

You will notice that there will only be a term x^k for k having the same parity as n.

Answer:

0.3

Step-by-step explanation:

Let x be what you need to subtract

I hope this helps!

Answer:

3/10

Step-by-step explanation:

83/10 - 3/10 = 80/10 = 8

Answer:

7+(−2) = 7 − 2 = 5

Step-by-step explanation:

Answer:

The Positive number has to be greater than the negative number you are adding with.

Example(s):

-30 + 35 = 5

-65 + 70 = 5