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Bogdan [553]
2 years ago
15

Alang owns a small business selling ice-cream. He knows that in the last week 62

Mathematics
1 answer:
anzhelika [568]2 years ago
5 0

Step-by-step explanation:

last week there were

62 + 60 + 2 = 124 customers.

that means that the fraction of the customers, who paid by credit card, was

2/124 = 1/62

in situations like that, when we use history data and try to predict future behavior, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/62, if customers to use credit cards.

for the absolute number of predicted credit card customers we multiply the predicted number of customers by the expected fraction

1000 × 1/62 = 500/31 = 16.12903226... ≈ 16

so, he expects 16 credit card customers.

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Y varies directly as X , and Y=1.2 when X=1.6.Solve for points.
Musya8 [376]

Answer:

No

Step-by-step explanation:

I don' think that Y varies directly like X does because first they're different numbers. Y=1.2 and X=1.6.

3 0
2 years ago
Read 2 more answers
What is 8 + g = 15? just need the answer
muminat

Step-by-step explanation:

8 + g = 15

g = 15 - 8

g = 7

Hope it will help :)

5 0
3 years ago
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given a right-angled triangle with perimeter 18. The sum of the squares of the three side lengths is 128. What is the area of th
ahrayia [7]

Answer:

9units²

Step-by-step explanation:

A triangle has 3 sides. Let the length of the three sides be a, b, c.

If the perimeter of the triangle is 18, then;

P = a+b+c

a+b+c = 18... 1

If the sum of the squares of the three side lengths is 128, this means;

a²+b²+c² = 128... 2

Since the triangle is also right angled, according to Pythagoras theorem;

c² = a²+b²... 3 (taking c as the hypotenuse)

Substitute equation 3 into 2;

(a²+b²)+c² = 128

c²+c² = 128

2c² = 128

c² = 128/2

c² = 64

c = √64

c = 8

Substituting c = 8 into 1

a+b+c = 18

a+b+8=18

a+b = 10 ...... 3

Substituting c = 8 into 2

a²+b²+c² = 128

a²+b²+8² = 128

a²+b²+64 = 128

a²+b²= 64..... 4

Solve equation 3 and 4 simultaneously;

a+b = 10

a²+b²= 64

From 4; a = 10-b

Substitute a = 10-b into 4;

(10-b)²+b² = 64

100-20b+b²+b² = 64

2b²-20b+100-64 = 0

2b²-20b+36 = 0

Divide through by 2:

b²-10b+18 = 0

b = 10±√10²-4(18)/2

b = 10±√100-72/2

b =( 10±√28)/2

b =(10±√4×7)/2

b = (10±2√7)/2

b = 5±√7

Hence b = 5+√7

If a+ b = 10

a+(5+√7 ) = 10

a = 10-(5+√7)

a = 10-5-√7

a = 5-√7

Area of the triangle A = 1/2 ab

A = 1/2 × (5+√7) × (5-√7)

A = 1/2 × (25-5√7+5√7-7)

A = 1/2 × (25-7)

A = 1/2 × 18

A = 9

Hence the are of the triangle is 9units²

4 0
3 years ago
1. Suppose that the cost of producing x tablets is defined by
vredina [299]

Answer:

we are given

part-A:

Since, x is number of tablets

C(x) is cost of producing x tablets

so, vertical box is C(x)

so, we write in vertical box is "cost of producing x tablets"

Horizontal box is x

so, we write in horizontal box is "number of tablets"

part-B:

we have to find average on [a,b]

we can use formula

we are given point as

a: (15 , 395)

a=15 and C(15)=395

b: (20, 480)

b=20 , C(20)=480

now, we can plug values

...........Answer

part-c:

we have to find average on [b,c]

we can use formula

we are given point as

b: (20, 480)

b=20 , C(20)=480

c:(25,575)

c=25 , C(c)=575

now, we can plug values

4 0
3 years ago
Megan constructed triangle ABC. In Megan’s triangle, m∠A is represented by x°, m∠B is 4 times greater than m∠A, and m∠C is 30° l
sergeinik [125]

Angle A =x

Angle B is 4x

Angle C is 5x-30

So the answer is A C andD

7 0
3 years ago
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