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rodikova [14]
3 years ago
12

The length of a rectangler picture is 5 inches more than three times the width find the dimensions of the picture if its perimet

er is 74 inches
Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

Length = 29 inches

width = 8 inches

Step-by-step explanation:

perimeter of a rectangle= p =2*L+2*w

L= Length

w = width

we have from the statement:

L= 5+3*w

p=74

so we have:

74 =2*(5+3*w)+2*w

74= 10+ 6w +2w

74-10=8w

64=8w

w = 64/8

w =8 inches = width

so L= 5+3*(8)

L= 5+24

L= 29 inches = Length

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A firm has the marginal-demand function where D(x)=-1400x÷√25-x² is the number of units sold at x dollars per unit. Find the dem
borishaifa [10]

The equation of the demand function is D(x) = 1400√(25-x²) + 11400

<h3>How to determine the demand function?</h3>

From the question, we have the following parameters that can be used in our computation:

Marginal demand function, D'(x) = -1400x÷√25-x²

Also, we have

D = 17000, when the value of x = 3

To start with, we need to integrate the marginal demand function, D'(x)

So, we have the following representation

D(x) = 1400√(25-x²) + C

Recall that

D = 17000 at x = 3

So, we have

17000 = 1400√(25-3²) + C

Evaluate

17000 = 5600 + C

Solve for C

C = 17000 - 5600

So, we have

C = 11400

Substitute C = 11400 in D(x) = 1400√(25-x²) + C

D(x) = 1400√(25-x²) + 11400

Hence, the function is D(x) = 1400√(25-x²) + 11400

Read more about demand function at

brainly.com/question/24384825

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3 0
1 year ago
What is the value of the fourth power of 10
Shalnov [3]
10^4 = 10\times 10 \times 10 \times 10 = 100 \times 10 \times 10 = 100 \times 100 = \boxed{10,000}
3 0
3 years ago
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How many times grater is 3.4 times 10^5 and 2 times 10^3
tresset_1 [31]

Answer:

1.7*10^3 greater

Step-by-step explanation:

So just divide the two numbers

3.4 * 10^5/ 2 * 10^3

7 0
3 years ago
Is the ordered pair a solution of y ≥ 2x − 5? a. (3, 1) b. (1, −4)
Deffense [45]

Answer:

a. Yes

b. No

Step-by-step explanation:

To find if an ordered pair is a solution to the inequality, substitute its x and y values for the x and y in the inequality and solve. If the equation is true, then it is a solution. If it is not, then it is not a solution.

1) First, substitute the x and y values of (3, 1) into the inequality. So, substitute 3 for x and 1 for y:

1 \geq 2(3)-5\\1\geq 6-5\\1\geq 1

1 is greater than or equal to 1, so (3,1) is a solution.

2) Second, do the same with the point (1, -4). Substitute 1 for x and -4 for y:

-4\geq 2(1)-5\\\\-4\geq 2-5\\-4\geq -3

However, -4 is not greater than or equal to -3, thus (1, -4) is not a solution.

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3 years ago
What is 186 over 31​
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Use Photomath it’s a good app for math
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2 years ago
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