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Westkost [7]
3 years ago
13

2 numbers are such that if 7 is added to the first number, a number twice the second number is obtained. If 20 is added to the s

econd number, the number obtained is four times the first number. Find the two numbers​
Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0

Answer:

1st= 47/7 or 6.71

2nd= 48/7 or 6.857

Step-by-step explanation:

1st number =X and 2nd number = Y

According to question, X+7=2Y

20+Y=4X

X=2Y-7 (from 1st condition)

putting in it second

20+Y=4(2Y-7)

20+Y=8Y-28

20+28=8Y-Y

48=7Y

Y=48/7

so X=2(48/7)-7

=96-49/7

47/7

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Find the sum of -3x square- 4x +3 and 2x square -x +3​
Lady_Fox [76]

Answer:

−x²−4x+3−x+3

Subtract x from −4x.

−x²−5x+6

Step-by-step explanation:

4 0
3 years ago
A chain of retail computer stores opened 2 stores in its first year of operation. After 8 years of operation, the chain consiste
Helen [10]

Answer:

0.66

Step-by-step explanation:

The exponential growth equation is expressed as;

S(t) = S0e^kt

S(t) is the number of stores after t years

S0 is the initial number of stores

If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;

2 = S0e^k(1)

2 = S0e^k .... 1

Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;

206 = S0e^k(1)

206 = S0e^8k .... 2

Next is to calculate the value of k

Divide equation 2 by 1;

\frac{206}{2} = \frac{S0e^{8k} }{S0e^k }\\103 =   e^{7k}\\apply \ ln \ to \ both \ sides\\ln103 = lne^{7k}\\ln103 = 7k\\k = \frac{ln103}{7}\\k = \frac{4.6347}{7} \\k =  0.6621

Hence the value of k to the nearest hundredth is 0.66

4 0
3 years ago
What is the sample space for a 5 sided number cube?
grigory [225]

Answer:

{1, 2, 3, 4, 5}

Step-by-step explanation:

Sample space is the set of all possible outcomes. Supposing that the 5 sided number cube has numbers one to five on its sides, the possible outcomes are the numbers that can be rolled, then its sample space is: {1, 2, 3, 4, 5}

3 0
3 years ago
At a shelter,15% of the dogs are puppies. There ate 60 dogs at the shelter. How many are puppies?
Anna71 [15]
15% of 60

.15 × 60 = 9
5 0
3 years ago
The area of a rectangle is 479.4 square feet. The width of the rectangle is 17 feet.
Katarina [22]

The answer is 28.2 because 479.4 ft. ÷ 17 ft. = 28.2 ft.

5 0
2 years ago
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