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Burka [1]
2 years ago
11

Brian buys candy that costs 4 per pound. He will buy at least 8 pounds of candy. What are the possible amounts he will spend on

candy? Use for the amount ( in dollars) Brian will spend on candy Write your answer as an inequality solved for c
Mathematics
2 answers:
s2008m [1.1K]2 years ago
8 0

Answer:

32 pound but I dunno what that is in american dollars

Stolb23 [73]2 years ago
3 0

Answer:

$32

Step-by-step explanation:

well if he buys 8 pounds of candy and it's 4 per pound this would be simple you would multiply 8x4 which =32 so he bought 32 dollars worth of candy

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A box is being created out of a 15 inch by 10 inch sheet of metal. Equal-sized squares are cutout of the corners, then the sides
ivolga24 [154]

Answer:

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

Step-by-step explanation:

Given that,

A box is being created out of a 15 inches by 10 inches sheet of metal.

The length of the one side of the squares which are cut out of the each corners of the metal sheet be x.

The length of the metal box be = (15-2x) inches.

The width of the metal box be =(10-2x) inches

The height of the metal box be =x inches

Then, the volume of the metal box= length×width×height

                                                         =(15-2x)(10-2x)x cubic inches

                                                         =(150x-50x²+4x³) cubic inches

∴ V= 4x³-50x²+15x

Differentiating with respect to x

V'=12x²-100x+15

Again differentiating with respect to x

V''=24x-100

For maximum or minimum value, V'=0

12x²-100x+15=0

Apply quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=12, b= -100 and c=15

x=\frac{-(-100)\pm\sqrt{(-100)^2-4.12.15}}{2.12}

\Rightarrow x=\frac{100\pm\sqrt{9280}}{2.12}

\Rightarrow x=0.1528,8.18

For x= 8.18, The value of (15-2x) and (10-2x) will negative.

∴x=0.1528 .

Now, V''|_{x=0.1528}=24(0.1528)-100

∴At x=0.1528 inch, the volume of the metal box will be maximum.

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

4 0
3 years ago
What is the perimeter of a rectangular garden with a width of 24 feet and a diagonal of 40 feet?
elena55 [62]
Drawing it out, as seen, using the Pythagorean theorem we get that w^2+l^2 (with w=width and l=length)=diagonal^2=24^2+l^2=40^2. Subtracting 24^2 from both sides, we get 40^2-24^2=l^2=1024. Square rooting both sides, we get l=32. Since the perimeter is 2w+2l, we get 32*2+24*2=64+48=112

8 0
3 years ago
? x 3,794 =2 x (4 x 3794)​
o-na [289]
The answer would be 8
6 0
3 years ago
Willis has noticed that when time has been one of the variables analyzed by a scatterplot he has looked at, it has always been t
damaskus [11]

It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.

Option C is the right answer.

The missing graph has been attached with the answer.

<h3>What is a Scatter Plot ?</h3>

These are Cartesian Points and it represents relationship between two variables.

It is given that

Will's Hypothesis is time can never be a dependent variable.

Although from the graph plotted it can be seen that the time is dependent on distance travelled and

the in a scatter plot , the dependent variable is plotted on y axis and here the time is plotted on y axis ,

therefore the scatter plot invalidate Willis’s hypothesis.

It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.

Option C is the right answer.

To know more about Scatter Plot

brainly.com/question/13984412

#SPJ1

5 0
2 years ago
Hello! How do I find the surface area of this prism? Thanks!
Studentka2010 [4]
Answer: Choice C) 124 square cm

------------------------------------------------------------------

Explanation:

Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5

A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.

------------

Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where 
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.

In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35

So
LSA = p*d
LSA = 11.35*10
LSA = 113.5

Add this LSA to the base area found earlier
10.5+113.5 = 124

The total surface area is 124 square cm
8 0
3 years ago
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