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astraxan [27]
3 years ago
10

Factor the GCF: −12x4y − 9x3y2 + 3x2y3 (5 points)

Mathematics
1 answer:
garri49 [273]3 years ago
8 0
-12x4y - 9x3y^2 + 3x^2y^3 = 3xy(-16 -9y + xy^2)
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Mary spends 1/6 hour to make a friendship bracelets she spends 3 hours before lunch and 2 hours after lunch making the. Bracelet
lianna [129]

Answer:

30 bracelets

Step-by-step explanation:

she could make 6 in 1 hour so 18 bracelets in 3 hours plus 12 bracelets in 2 hours which equals 30 bracelets.

6(3+2)=x

x=30

8 0
3 years ago
A rectangular box with a volume of 272ft^3 is to be constructed with a square base and top. The cost per square foot for the bot
ASHA 777 [7]

Answer:

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

The length of one side of the base of the given box  is 3 ft.

The height of the box is 30.22 ft.

Step-by-step explanation:

Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = (x\times x)

                               =x^2

The volume of the box  is = area of the base × height

                                           =x^2h

Therefore,

x^2h=272

\Rightarrow h=\frac{272}{x^2}

The cost per square foot for bottom is 20 cent.

The cost to construct of the bottom of the box is

=area of the bottom ×20

=20x^2 cents

The cost per square foot for top is 10 cent.

The cost to construct of the top of the box is

=area of the top ×10

=10x^2 cents

The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

=area of the side ×1.5

=4xh\times 1.5 cents

=6xh cents

Total cost = (20x^2+10x^2+6xh)

                =30x^2+6xh

Let

C=30x^2+6xh

Putting the value of h

C=30x^2+6x\times \frac{272}{x^2}

\Rightarrow C=30x^2+\frac{1632}{x}

Differentiating with respect to x

C'=60x-\frac{1632}{x^2}

Again differentiating with respect to x

C''=60+\frac{3264}{x^3}

Now set C'=0

60x-\frac{1632}{x^2}=0

\Rightarrow 60x=\frac{1632}{x^2}

\Rightarrow x^3=\frac{1632}{60}

\Rightarrow x\approx 3

Now C''|_{x=3}=60+\frac{3264}{3^3}>0

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is =\frac{272}{3^2}

                                          =30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

7 0
3 years ago
Please go to Lesson 11.11. Please show you're work AND show you're work in paper and take a picture and send it to me. Please he
nasty-shy [4]
Dear SailorMars, since I don't have a phone I will show my work on this chat. For 2. we can do 1x1x28=28 cm³ and 2x2x7=28cm³ which will have a square base, which is 2 possible molds. For 3. we can do 10x1x36=360in³, 10x2x18=360in³, 10x3x12=360in³, 10x4x9=360in³, and 10x6x6=360in³ which will have a dimension of 10 in, which is 5 possible molds.
For 4. multiply 12x8x4=384in³ and multiply 20x15x9=to get 2700in³. With the two measurements, subtract 2700-384=2316in³ of space in the box.
For 5. multiply the equations 5x2x1, 5x2x2, 5x2x3, 5x2x4, and 5x2x5 to get the volumes in order 10ft³, 20ft³, 30ft³, 40ft³, and 50ft³.
For 6. multiply the equations 3x6, 3x7, 3x8, 3x9, 3x10, 3x11, and 3x12 to get the inches in order 18 in, 21 in, 24 in, 27 in, 30 in, 33 in, 36 in.
For 1. multiply 6x8x10 to get 480 in³; the answer is C
For 2. multiply 12x8=96 and divide 576/96 to get 6 in; the answer is A
For 3. 7:50+ :28= 8:18 PM then 8:18+2:  =10:18 PM; the answer is D
For 4. it's a square pyramid because a square pyramid has squares and pyramids; the answer is D
For 5. multiply 24x12x14=4032 in³; the answer is D
For 6. multiply 2x3x6 to get 36m³; the answer is C
3 0
3 years ago
The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. T
Bas_tet [7]

Answer: It would cost $150 for a party of 9 people and it would cost $260 for 20 people

Step-by-step explanation:

The number 9 falls in between 0<n<_ 12 so the cost is 150

The number 20 falls in between 12<n<_ 20 so the cost is 260

4 0
3 years ago
Classify triangle BCD based on side lengths, given:
Pavel [41]

AB = BE = 5

BD = BE + ED = 5 + 3 = 8

BC = 8

BD = BC

CD = 5 which is not equal to 8.

Triangle BCD has exactly 2 congruent sides.

Answer: Triangle BCD is isosceles.

8 0
3 years ago
Read 2 more answers
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