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SOVA2 [1]
2 years ago
9

Chang is 6 inches taller than Nancy.

Mathematics
1 answer:
Nata [24]2 years ago
8 0

n+6=6nStep-by-step explanation:

You might be interested in
The perimeter of the triangle is 40 units.Which of the following equations could be used to find the value of x?
Artyom0805 [142]

Answer:

13x + 112 = 320.

Step-by-step explanation:

The perimeter is the sum of the 3 sides:

1/2 x + 3/8 x + 11 + 3/4 x + 3 = 40

1/2 x + 3/8 x  + 3/4 x + 3 + 11 = 40

1/2 x + 3/8 x  + 3/4 x + 14 = 40

Multiply through by 8 to remove the fractions:

4x + 3x + 6x  + 14 = 40

13x + 112 = 320.

5 0
3 years ago
A store buys 6 sweaters for $30 and sells them for $132. How much product does the store make per sweater
masya89 [10]

Answer:

$102

Step-by-step explanation:

You subtract $30 from $132. That gives you: $102.

I hope this helps, and i hope that it's correct. sorry if its not. have a great day!

4 0
3 years ago
A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo
katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the boxV=x^2z

Volume of the box=12 ft^3\\

Therefore, x^2z=12\\z=\frac{12}{x^2}

The material for the base costs \$0.17/ft^2, the material for the sides costs \$0.10/ft^2, and the material for the top costs \$0.13/ft^2.

Area of the base =x^2

Cost of the Base =\$0.17x^2

Area of the sides =4xz

Cost of the sides==\$0.10(4xz)

Area of the Top =x^2

Cost of the Base =\$0.13x^2

Total Cost, C(x,z) =0.17x^2+0.13x^2+0.10(4xz)

Substituting z=\frac{12}{x^2}

C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}

To minimize C(x), we solve for the derivative and obtain its critical point

C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2

Recall: z=\frac{12}{x^2}=\frac{12}{2^2}=3\\

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0
3 years ago
Y = 2x + 3<br><br><br> y = 1/2 x – 3<br><br><br> y = –2x – 3<br><br><br> y = 1/2 x + 3
vodka [1.7K]

Answer:

y = 1/2 x + 3

Step-by-step explanation:

the positive 3 is the y intercept and the positive 1/2 is rise over run up-1 & 2 to the right

5 0
3 years ago
if there are 2040 seats in a section of a stadium, 20 seats in the first row, and 4 more seats in each row, how many rows are th
Lorico [155]


2040 = n/2(20+(n-1)4)

4080 = n(20+4n-4)

4080= 20n +4n^2 -4n

1020 = 4n + n^2

n^2 +4n -1020 =0

use common formula (can't write out so just look at answers. sorry)

which gives answers of n=-34 and n=30. since n can only be positive, n=30 so there are 30 rows. I liked that challenge

5 0
3 years ago
Read 2 more answers
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