MATHEMATICS COLLEGE

If you had 12 pieces of licorice to share equally among 5 people, how much 5 licorice would each person get? Show your thinking clearly using pictures, words and/or numbers.​

Answers

Answer 1
Answer:

Answer:

12 divided by 5 = 2.4 meaning each person would get 2.4 pieces

Answer 2
Answer:

Answer:

12 ÷5

=1,5

Step-by-step explanation:

please mark me as brainlist please

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Miguel has a jar full of dimes and quarters. There are a total of 115 coins with a total value of$17.05. The system of equations that represents this situation is as follows: d + q =115 and
10d + 25 = 1705 How many MORE dimes than quarters are in Miguel's jar?​

Answers

Answer:

53

Step-by-step explanation:

Dimes 168

Please help me asap!

Answers

Answer:

24 units

Step-by-step explanation:

Given is a circle with two chord BE and CD

BE and CD intersect at A

By circle chords intersection theorem we have

DA*AC = EA*AB

i.e. 8(15) = 5(AB)

Divide by 5 both the sides

AB =8(15)/5 = 8(3) = 24 units

Verify:

Let us check now whether chord intersection theorem is satisfied.

DA*AC = 8(15) = 120

EA*AB = 5(24) = 120

Since these two equal, we verify that answer is right.

Solve 2cos^2x+3sinx=0

Answers

Answer:

x = {\sin^( - 1) 2} \: \: or \: \: x = (7\pi)/(6), \: \: (5\pi)/(3)

Step-by-step explanation:

2 { \cos}^(2) x + 3 \sin x = 0 \n 2 {(1 - \sin}^(2) x) + 3 \sin x = 0 \n 2 - 2 \sin^(2) x+ 3 \sin x = 0 \n 2 \sin^(2) x - 3 \sin x - 2 = 0 \n 2 \sin^(2) x - 4\sin x + \sin x- 2 = 0 \n 2\sin x(\sin x - 2) + 1(\sin x - 2) = 0 \n (\sin x - 2)(2\sin x + 1) = 0 \n (\sin x - 2) = 0 \: or \: (2\sin x + 1) = 0 \n \sin x = 2 \: or \: 2\sin x = - 1 \n x = {\sin^( - 1) 2} \: \: or \: \: \sin x = - (1)/(2) \n x = {\sin^( - 1) 2} \: \: or \: \: x = (7\pi)/(6), \: \: (5\pi)/(3)

The area of a rectangular garden is 6290 ft 2. If the width of the garden is 74 feet, what is its length?

Answers

Answer:

85

Step-by-step explanation:

Solve: x^2 – 16x + 63 < 0 ​

Answers

Answer:

7 < x < 9

Step-by-step explanation:

x^2 – 16x + 63 < 0

this is a parabola that opens up.

The parabola will be < 0 for values between the roots.

to picture this see the graph below.

Factor

(x - 7)(x - 9) < 0

Roots

x = {7, 9}

solution

7 < x < 9

Find an explicit solution (solved for y) of the given initial-value problem in terms of an integral function. dy/dx + 3y = e^x^5, y(2) = 5.

Answers

Answer:

Step-by-step explanation:

Using linear differential equation method:

\frac{\mathrm{d} y}{\mathrm{d} x}+3y=e^5^x

I.F.= e^{\int {Q} \, dx }

I.F.=e^{\int {3} \, dx }

I.F.=e^(3x)

y(x)=(1)/(e^(3x))[\int {e^(5x)} \, dx+c]

y(x)=(e^(2x))/(5)+e^(-3x)* c

substituting x=2

c=(25-e^4)/(5e^(-6))

Now

y=(e^(2x))/(5)+e^(-3x)* (25-e^4)/(5e^(-6))
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