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3 years ago

11

Hanna has 24 candies. She wants to split all her candies equally into bags to give to her friends. How can she spilt them?

2 answers:

aliina [53]3 years ago

5 0

Answer:

Divide

Step-by-step explanation:

Divide 24 into how many friends there are.

iogann1982 [59]3 years ago

4 0

Answer:

8 * 3 = 24

Step-by-step explanation:

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Mary has $267 in her checking account. She writes three checks for $33; $65 and $112. What is the balance in her account now? Yo

Tamiku [17]

Answer:$57

Step-by-step explanation:

$267-$33=$234

$234-$65=$169

$169-$112=$57

5 0

3 years ago

a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream

Nonamiya [84]

the coordinates where the bridges must be built is $(3,-6)$ and $(6,3)$ .

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

Here we have , a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream at point A and then again at point B. Bridges must be built at those points.We need to find Identify the coordinates where the bridges must be built. Let's find out:

Basically we need to find values of x for which f(x) = g(x) :

⇒ $f(x)-g(x)=0$

⇒ $3x^2- 24x + 39-(3x - 15 ) =0$

⇒ $3x^2- 24x + 39-3x + 15 =0$

⇒ $3x^2- 27x + 54 =0$

⇒ $x^2- 9x + 18 =0$

⇒ $x^2- 6x-3x + 18 =0$

⇒ $x(x- 6)-3(x - 6) =0$

⇒ $(x-3)(x- 6) =0$

⇒ $x=3 , x=6$

Value of g(x) at x = 3 : y=3x -15 = 3(3)-15 = -6

Value of g(x) at x = 6 : y=3x -15 = 3(6)-15 = 3

Therefore , the coordinates where the bridges must be built is $(3,-6)$ and $(6,3)$ .

7 0

3 years ago

A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs

PSYCHO15rus [73]

Answer:

the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm

Step-by-step explanation:

since the volume of a cylinder is

V= π*R²*L → L =V/ (π*R²)

the cost function is

Cost = cost of side material * side area + cost of top and bottom material * top and bottom area

C = a* 2*π*R*L + b* 2*π*R²

replacing the value of L

C = a* 2*π*R* V/ (π*R²) + b* 2*π*R² = a* 2*V/R + b* 2*π*R²

then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then

dC/dR = -2*a*V/R² + 4*π*b*R = 0

4*π*b*R = 2*a*V/R²

R³ = a*V/(2*π*b)

R= ∛( a*V/(2*π*b))

replacing values

R= ∛( a*V/(2*π*b)) = ∛(0.03$/cm² * 600 cm³ /(2*π* 0.05$/cm²) )= 3.85 cm

then

L =V/ (π*R²) = 600 cm³/(π*(3.85 cm)²) = 12.88 cm

therefore the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm

5 0

4 years ago

Ethan is watching a satellite launch from an observation spot 1 mile away. Find the angle of elevation from Ethan to the satelli

Thepotemich [5.8K]

Answer:

$\theta=80.53^{\circ}$

Step-by-step explanation:

From the attached figure, AB is the height of the satellite and the distance between Ethan and the ground is 1 mile.

We can find the angle of elevation from Ethan to the satellite using trigonometry as follows :

$\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{6}{1}\\\\\theta=\tan^{-1}(6)\\\\\theta=80.53^{\circ}$

So, the angle of elevation is 80.53 degrees.

3 0

3 years ago

Michael has a home-based business putting on children's parties. He charges $45 to design the party and then $7.50 per child . W

love history [14]

Answer:

45 + ( 7.50*x)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers