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Ostrovityanka [42]
3 years ago
15

The table shows the price for different numbers of chocolate boxes: Number of Chocolate Boxes Price (in dollars) 2 10 3 15 4 20

5 25 Does this table of numbers represent a proportional relationship? (1 point) Yes, because 5 times the price is the number of boxes No, because the price of 4 boxes should be $40 No, because the price of 3 boxes should be $11 Yes, because the price is 5 times the number of boxes PLEASE HELP ME !!!!!!!! PLEASE!!!!!!!
Mathematics
1 answer:
galina1969 [7]3 years ago
8 0
To know if they are proportional check to see if there is a number common to the relationship between the y and x to all the numbers:
10/2=5
15/3=5
20/4=5
25/5=5
There is a relationship of 5 and the 5 is multiplied to the x=boxes.

Yes, because the price is 5 times the number of boxes
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How many zeros should have 5 to have 72 dividers?
xenn [34]
Hello,

nice as problem.

| If\ a\ number\ x=a_1^{p_1}*a_2^{p_2}*a_3^{p_3}*....*a_n^{p_n}\\ the\ number\ of\ his\ dividers is:\\{p_1+1}*{p_2+1}*{p_3+1}*....*{p_n+1}
Here x has a power of 5 as divider and a power of 2 as divider (in order to make a power of 10.

5=5^1*2^0

50=5^1*(5^1*2^1)=5^2*2^1

500=5^1*(5^2*2^2)=5^3*2^2

50 000 000=5^8*2^7

Numbers of dividers: (8+1)*(7+1)=9*8=72








3 0
3 years ago
What is the sum of the prime factors of 2014
goblinko [34]

The sum of prime factors of 2014 is 74

<h3><u>Solution:</u></h3>

Given that to find sum of prime factors of 2014

Let us first find the prime factors of 2014

A prime number is a whole number greater than 1 whose only factors are 1 and itself

"Prime Factorization" is finding which prime numbers multiply together to make the original number.

<em><u>Prime factors of 2014:</u></em>

The Prime Factorization is:

2014 = 2 \times 19 \times 53

Thus the prime factors of 2014 are 2, 19, 53

<em><u>Let us now find the sum of prime factors of 2014</u></em>

sum of prime factors of 2014 = 2 + 19 + 53 = 74

Thus the sum of prime factors of 2014 is 74

7 0
3 years ago
The cost of painting the total outside surface of a closed cylindrical tank at 60 paise per meter squae is Rs237.60. The height
valkas [14]

Answer:

volume=509.25 dm^{3}

Step-by-step explanation:

Curved surface area=\frac {237.6}{0.6}=396 dm^{2}=2\pi R(R+H) where R is radius and H is height

Since H=6R then curved surface area=2\pi R(R+6R)=14\pi R^{2}

Therefore,  

396 dm^{2}=14\pi R^{2} and making R the subject

R=\sqrt {\frac {396}{14\pi}}=\sqrt {(9.003622)}= 3.000604 m

Therefore, H=6R=6*3.000604=18.00362 m

Volume=\pi R^{2}H=\pi*3.000604^{2}*18.00362=509.2453 dm^{3}

Therefore, volume=509.25 dm^{3}

6 0
3 years ago
A production process produces 2% defective parts. a sample of 5 parts from the production is selected. what is the probability t
Lana71 [14]

Answer:

Probability of a sample that contains exactly two defective parts is .0037 or .37%

Step-by-step explanation:

As we know if P is the probability of achieving k results in n trials then probability formula is P = \binom{n}{k}p^{K}q^{n-k}

In this formula n = number of trials

                        k = number of success

                        (n-k) = number of failures

                         p = probability of success in one trial

                         q = (1-p) = probability of failure in one trial

In this sum n = 5

                  k = 2

number failures (n-k) = (5-2) = 3

                            p = 2% which can be written as .02

                            q = 98% Which can be written as .98

Now putting these values in the formula

                        P = \binom{5}{2}(.02)^{2}(.98)^{5-2}

                        P = \binom{5}{2}(.02)^{2}(.98)^{3}

                   \binom{5}{2}= 5!/3!2!    

                                              = 5×4×3×2×1/3×2×1×2×1

                                              = 5×2 =10

                                       P = 10×(.02)²×(.98)³

                                          = .0037 or .37%

4 0
3 years ago
Read 2 more answers
Find the 62nd term of the arithmetic sequence -27, -21, -15, ...
kaheart [24]

Answer:

a = -27

d = -21 - ( -27) => 6

a62 => a + 61 (d) +=> -27 + 61(6)

=> -27 + 366

=> 339

5 0
2 years ago
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