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Helen [10]
2 years ago
7

a jacket cost 4 times as much as a shirt. if the total cost of the jacket and shirt is $280, how much does the shirt cost ------

----------------------------------------------------------------------------------------------------------------------------A)$56 B)$12 C)$224 D)$280
Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
3 0

The answer I got was A.)$56.

Hope this helps!<3

Comment if you need help on how I got that answer!

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A box without a top is to be made from a rectangular piece of cardboard, with dimensions 9 in. by 10 in., by cutting out square
mariarad [96]

Answer:

The optimal volume is 63.1142 in3, with a cut of 1.5767 inches

Step-by-step explanation:

If we make a cut of x inches to create the box, the dimensions of the box will be:

Length = 10 - 2x

Width = 9 - 2x

Height = x

So the volume of the box would be:

Volume = (10 - 2x) * (9 - 2x) * x

Volume = 4x3 - 38x2 + 90x

To find the maximum volume, we need to take the derivative of the volume and find the values of x where it is equal to zero:

dV/dx = 12x2 - 76x + 90 = 0

6x2 - 38x + 45 = 0

Using Bhaskara's formula, we have:

Delta = 38^2 - 4*6*45 = 364

sqrt(Delta) = 19.08

x1 = (38 + 19.08) / 12 = 4.7567

x2 = (38 - 19.08) / 12 = 1.5767

Testing these values in the volume equation, we have:

Volume1 = 4*(4.7567)^3 - 38*(4.7567)^2 + 90*(4.7567) = -1.1883

(Negative value for the volume is not valid)

Volume1 = 4*(1.5767)^3 - 38*(1.5767)^2 + 90*(1.5767) = 63.1142

So the optimal volume is 63.1142 in3, with a cut of 1.5767 inches

7 0
3 years ago
Please help me with these two problems thank you!!​
andriy [413]

Answer:

1st question: y=1/3x-1

2nd question: y=-2/3x+9

Step-by-step explanation:

Y=mx+b form is what you are using

when a line in parallel to a line they have the same slop wich is m

when a line in perpendicular they have the opposite reciprocal

Examples: 2/5 opposite reciprocal would be -5/2

8 0
3 years ago
Choose all the expressions that are equal to 45,000 ÷ 90.
scZoUnD [109]
A and D is the answer
8 0
2 years ago
Read 2 more answers
Share 120 in the ratio 1:5
zhuklara [117]
What are you asking here i think it should be 20:100
5 0
3 years ago
Hi guys<br>I need 3 minus and plus operations with answer thx!​
nata0808 [166]

1999+1001=3000 1091+1009=3000 2000+1000=3000

3000-1001=1999 3000-1009=1091 3000-2000=1000

8 0
2 years ago
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