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miv72 [106K]
1 year ago
8

Chet started to slow his eating speed down later in the evening. He was

Mathematics
1 answer:
ozzi1 year ago
6 0

Answer:

The unit rate is:

  • 1/8 turkey/per hour.

Step-by-step explanation:

As Chet was eating 1/4 of a turkey every 2 hours.

This tells us that every two hours, Chet will eat  175  1/4 of a turkey.

  • Unit rate basically means 'how much of something per 1 unit of something else'.

A unit rate is a rate with a denominator of  1  unit.

This means, in 1 hour, Chet will eat half of what he eats every 2 hours.

so Chet will eat \frac{\frac{1}{4}}{2}=\frac{1}{8} of a turkey in 1 hour.

i.e.

\frac{\frac{1}{4}}{2}=\frac{1}{8}

Therefore, the unit rate is:

  • 1/8 turkey/per hour.

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∠A and ∠C are right angles. m∠p = _???_ degrees.
iogann1982 [59]

Answer

Find out the  m∠p .

To prove

As in ΔDAB is a right triangle

Apply pythagorean theorem

Hypotenuse ² = Perpendicular ² + Base²

DB² = AB² + AD²

AB = 5 units

AD = 6 units

Put in the above formula

DB² = 5² + 6²

      = 25 + 36

     = 61

DB = \sqrt{61}\ units

           = 7.8 units (approx)

Now in  ΔDCB is a right triangle .

By using the trignometric identity .

cosp = \frac{Base}{Hypotenuse}

cosp = \frac{DC}{DB}

As DC = 4 units

DB = 7.8 units  (approx)

Put all the values in the trignometric identity .

cos p = \frac{4}{7.8}

\angle p = cos^{-1}(\frac{4}{7.8})

∠p = 59.15 ° (approx)

5 0
2 years ago
Read 2 more answers
Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two dist
Lera25 [3.4K]

Answer:

Sum = -81

Step-by-step explanation:

See the comment for complete question.

Given

c = 36 ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

x^2 + ax + 36 = 0

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

x = -\alpha and x = -\beta

Using the above roots, the equation can be represented as:

(x + \alpha)(x + \beta) = 0

Open brackets

x^2 + (\alpha + \beta)x + \alpha \beta = 0

To compare the above equation to x^2 + ax + 36 = 0, we have:

a = \alpha + \beta

\alpha \beta = 36

Where: \alpha, \beta and \alpha \ne \beta

The values of \alpha and \beta that satisfy \alpha \beta = 36 are:

\alpha = -1 and \beta = -36

\alpha = -2 and \beta = -18

\alpha = -3 and \beta = -12

\alpha = -4 and \beta = -9

So, the possible values of a are:

a = \alpha + \beta

When \alpha = -1 and \beta = -36

a = -1 - 36 = -37

When \alpha = -2 and \beta = -18

a = -2 - 18 = -20

When \alpha = -3 and \beta = -12

a = -3 - 12 = -15

When \alpha = -4 and \beta = -9

a = -4 - 9 = -13

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

Sum = -37 -20 -15 - 9

Sum = -81

7 0
2 years ago
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $
STatiana [176]

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

5 0
2 years ago
my class collected 389 milk jugs. We used 40 jugs. We gave 30 milk to the first graders. how many milk jugs did we have?
BartSMP [9]
We will just do the following steps:-

389 - 40 = 349
349 - 30 = 319

So, in the end your class had 319 milk jugs left.

Hope I helped ya!! 
8 0
2 years ago
The law of cosines is a2+b2-2abcosC=c2 find the value of 2abcosC
quester [9]
Isolating 2abCos(c) on one side of the equation and using the given values of a, b and c we can find the answer to this question as shown below:

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7 0
2 years ago
Read 2 more answers
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