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ExtremeBDS [4]
3 years ago
9

PASSCODE DECODER RING SHRI o If it takes 6 hours to bake 3 cakes, then at that rate, how many cakes could be baked in 12 hours?

If Ava makes $15 in 2 hours, what is her rate of pay? 3nt took 5 hours to mow 6 yards. At that rate, how many yards can be mowed in 20 hours? co malaya $ o 94 If 10 bags of ice cost $12, how much does 1 bag cost? 5 A car gets 30 miles per gallon of gas. At that rate, how many gallons would it take for the car to go 360 If you type 75 words in 3 minutes, at what rate do you type? RECORD PASSCODE Directions Complete the questions, match each answer on the decoder eing, med record the letter from that spot When complete, go back to The Nission page te access the posscode reader to check your answer and solve another part of the mystery​

Mathematics
1 answer:
fomenos3 years ago
8 0

The rate is a <em>fraction</em> that compares the values of <em>two quantities</em>. The <u>expected</u> answers to the questions are given below:

1. Given that <u>3</u> cakes takes <u>6</u> hours to bake, then:

1 cake = \frac{6}{3}

           = 2 hours

So that;

the <em>number </em>of cake to be baked in 12 hours = \frac{12 hours}{2 hours}

                                    = 6

The <em>number</em> of cake to be baked in <u>12</u> hours is 6.

2. Ava's rate of pay = \frac{15}{2}

                                 = $7.5 pr hour

Thus Ava's rate of pay is $7.5 per hour.

3. It took 5 hours to mow 6 yards. Thus;

To mow 1 yard = \frac{5}{6} hours

The <em>number</em> of yards to be mowed in 20 hours = 20 ÷ \frac{5}{6}

                                                = 20 x \frac{6}{5}

                                                = 24

The number of yards to be mowed in <em>20</em> hours is <u>24</u>.

4. Given that <u>10</u> bags of rice cost $12, then;

1 bag = \frac{12}{10}

         = 1.2

1 bag = $1.2

The cost of a bag of rice is $1.2.

5. Rate = 30 miles per gallon

The number of gallons required = \frac{360}{30}

                                        = 12

Thus 12 gallons would be required by the car to travel <u>360 miles</u>.

6. Rate = \frac{75}{3}

            = 25

Rate = 25 words per minute

The typing <em>speed</em> is 25 words per minute.

For more on rate, check: brainly.com/question/119866

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BigorU [14]

9514 1404 393

Answer:

  • arc BC = 60°
  • m∠ADC = 60°
  • m∠AEB = 105°
  • m∠ADP = 45°
  • m∠P = 60°

Step-by-step explanation:

The sum of arcs of a circle is 360°. The given conditions tell us arc BC ≅ arc AB, so the four arcs of the circle have ratios ...

  CB : BA : AD : DC = 2 : 2 : 3 : 5

The sum of ratio units is 2+2+3+5 = 12, so each one stands for 360°/12 = 30°. Then the arc lengths are ...

  arc BC = arc BA = 60° . . . . 2 ratio units each

  arc AD = 90° . . . . . . . . . . . . 3 ratio units

  arc DC = 150° . . . . . . . . . . . .5 ratio units

The inscribed angles are half the measure of the intercepted arcs:

  ∠ADC = (1/2) arc AC = 1/2(120°) = 60°

  ∠ADP = 1/2 arc AD = 1/2(90°) = 45°

The angles at E are half the sum of the measures of the intercepted arcs.

  ∠AEB = (arc AB + arc CD)/2 = (60° +150°)/2 = 105°

Angle P is half the difference of the intercepted arcs.

  ∠P = (arc BD -arc AD)/2 = (210° -90°)/2 = 120°/2 = 60°

__

In summary, ...

  arc BC = 60°

  m∠ADC = 60°

  m∠AEB = 105°

  m∠ADP = 45°

  m∠P = 60°

6 0
3 years ago
9x^2+6x+5=0, solve using the quadratic formula
AleksAgata [21]

Step by step explanation:

9x^{2}+6x+5=0

Uses the "a", "b", and "c" from "ax^{2} + bx + c", where "a", "b", and "c" are numbers

So in this case:

a would be 9

b would be 6

c would be 5

Then plug in from there..

Another way you can do it is using the square method.

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horrorfan [7]
The right answer is

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