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Sladkaya [172]
3 years ago
5

The total cost of eight pens and five mechanical pencils is $8.55. The cost of each pencil is $0.35 cents. Let the cost of a pen

be p dollars. Write an expression for the total cost of eight pens and five mechanical pencils in terms of p. Which expression below would represent this situation?

Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Answer:

C. 8<em>p</em> + 5(0.35) = 8.55

Step-by-step explanation:

It is C, because if one pencil costs ¢35 than you need to multiply 5 by 0.35.

Than you need to add 8<em>p</em> = 8.55.

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in a circle, a 60° sector has an area of a 36π cm^2. find the radius of the circle. round your answer to the nearest whole centi
hammer [34]
Area of circle = \frac{ \theta }{360^o}  \times \pi r^2 \\ 36 \pi = \frac{60^o}{360^o}  \times \pi r^2 \\ r^2=216 \\ r= \sqrt{216} =14.70 \ cm \\ r=15 \ cm \ to \ the \ nearest \ whole \ centimeter.
3 0
4 years ago
​Combined, there are ​Asians, Africans,​ Europeans, and Americans in a village. The number of Asians exceeds the number of Afric
yanalaym [24]

There are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

To determine the number of Asians, Africans, Europeans, and Americans in the village, the following calculation must be performed:

 

  • A.S + A.F + E.U + A.M = 177
  • A.S = A.F + E.U + 69
  • E.U - A.M = 13
  • E.U = A.M + 13
  • 2A.F = E.U + A.M + 29
  • A.F + E.U + 69 + A.F + E.U + A.M = 177
  • A.F + A.M + 13 + 69 + A.F + A.M + 13 + A.M = 177
  • 2A.F + 3A.M = 177 - 13 - 13 - 69
  • E.U + A.M + 29 + 3A.M = 82
  • A.M + 13 + A.M + 29 + 3A.M = 82
  • 5A.M = 82 - 13 - 29
  • A.M = 40/5
  • A.M = 8
  • E.U = 8 + 13 = 21
  • A.F = (21 + 29) / 2 = 25
  • A.S = 177 - 25 - 21 - 8 = 123

Therefore, there are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

Learn more about maths in brainly.com/question/25818763

3 0
3 years ago
Algebra help. Zoom in if you can
Artist 52 [7]
Answers:

Pair-1: log_{2}x = 5 ↔ 32
Pair-2: log_{10}x = 3 ↔ 1000
Pair-3: log_{4}x = 2 ↔ 16
Pair-4: log_{5}x = 4 ↔ 625

Explanation:

Pair-1:
log_{2}x = 5 \\  \frac{ln(x)}{ln(2)} = 5 \\ ln(x) = 5 * ln(2) \\ x = e^{5*ln(2)} \\ x = 32

Pair-2:
log_{10}x = 3 \\ \frac{ln(x)}{ln(10)} = 3 \\ ln(x) = 3 * ln(10) \\ x = e^{3*ln(10)} \\ x = 1000

Pair-3:
log_{4}x = 2 \\ \frac{ln(x)}{ln(4)} = 2 \\ ln(x) = 2 * ln(4) \\ x = e^{2*ln(4)} \\ x = 16

Pair-4:
log_{5}x = 4 \\ \frac{ln(x)}{ln(5)} = 4 \\ ln(x) = 4 * ln(5) \\ x = e^{4*ln(5)} \\ x = 625
7 0
3 years ago
Thompson down the street from his home to Cameron's house. Along the way, he stopped at a bake to pick up cupcakes. if he began
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3 years ago
What's the answer
SVEN [57.7K]

a) We kindly invite to check the image attached below to see a detailed graph of the <em>piecewise</em> function.

b) The <em>piecewise</em> function is continuous.

<h3>How to understand a piecewise function</h3>

A <em>piecewise</em> function is a <em>conditional</em> combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.

a) The <em>piecewise</em> function described in the question is plotted on a graphing tool (i.e. <em>Desmos</em>), whose result is presented in the image attached below.

b) A function is <em>continuous</em> if and only if there is one value from range for every value of domain. The <em>piecewise</em> function is continuous as <em>linear</em> functions are continuous and the two functions of the <em>conditional</em> combination have the same value for x = 30.

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

7 0
2 years ago
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