Perform the indicated operation 7/12 + 3/8

Answer:

1904 units^3

Step-by-step explanation:

multiply all of the sides by each other. 17 X 14 X 8 =

Answer:

the answer is 317

Step-by-step explanation:

I did the test

Answer:

1

Step-by-step explanation:

The cone is sliced by a plane, which produces a smaller cone on top.  This cone is similar to the original cone.  Therefore:

R / H = r / h

2 / 8 = r / 4

r = 1

The radius of the circle at the intersection of the plane and the cone is 1.

To find the radius of the circle at the intersection of the plane and the cone, we start by understanding the geometry of the cone and the slicing plane.

Given:

- Cone height ( h = 8 )

- Cone radius ( r = 2 )

- The plane slices the cone halfway along its height, so the distance from the vertex to the plane is  [tex]\( \frac{8}{2} = 4 \)[/tex].

Let's denote:

- ( R ): Radius of the circle at the intersection of the plane and the cone.

At height ( h ) from the vertex of the cone, the radius ( R ) of the circle formed by the intersection with the plane is related to the similar triangles formed by the cone and the slice plane.

The ratio of corresponding sides of similar triangles gives us:

[tex]\[ \frac{R}{r} = \frac{h - 4}{h} \][/tex]

Substitute the given values:

[tex]\[ \frac{R}{2} = \frac{8 - 4}{8} = \frac{4}{8} = \frac{1}{2} \][/tex]

Now, solve for ( R ):

[tex]\[ R = 2 \cdot \frac{1}{2} = 1 \][/tex]

Therefore, the radius of the circle at the intersection of the plane and the cone is [tex]\( \boxed{1} \).[/tex]

Answer:

$3.40

Step-by-step explanation:

Final answer:

To determine the cost Geraldo will pay for 4 pounds of apples, we find the cost per pound from his previous purchase and multiply by the desired weight. At $0.85 per pound, Geraldo will pay $3.40 for 4 pounds of apples.

Explanation:

Last week, Geraldo bought 7 pounds of apples for $5.95. To find out how much he will pay for 4 pounds of apples this week at the same price, we first need to calculate the cost per pound of the apples. We do this by dividing the total cost by the total weight in pounds from the previous purchase.

The cost per pound is $5.95 divided by 7 pounds, which equates to approximately $0.85 per pound (rounding to two decimal places).

So, for 4 pounds of apples, Geraldo will pay 4 times $0.85, which results in a total of $3.40.

Therefore, Geraldo will pay $3.40 for 4 pounds of apples.

The number of fluid ounces equivalent to 12 1/4 cups is; 98 fl Oz.

It follows from the task content that it is required to determine the number of fluid ounces in 12 1/4 cups.

Since, 1 Cup contains 8 fluid ounces; it therefore follows that 12 1/4 cups will contain;

= 12 1/4 × 8

= 98 fl Oz.

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Answer:

Step-by-step explanation:

∠ M + ∠N = 180 {supplementary}

5x+18 + 3x + 2 = 180    {Now add the like terms}

8x + 20 = 180

        8x = 180 - 20

        8x = 160

          x = 160/8

         x = 20

∠M = 5x + 18 = 5*20 + 18 = 100 + 18 = 118

∠N = 3x + 2 = 3*20 + 2 = 60 + 2 = 62

Answer:

10 peaches and 5 bananas

Step-by-step explanation:

To solve the problem increase the cost by adding more peaches and less by adding more bananas

7 peaches = 3.50

8 bananas = 3.20 + 3.50 = 6.70

We need 30 more cents so add three more peaches

10 peaches = 5

5 x 0.4 = 2

2 + 5 = 7

Final answer:

To determine the number of bananas and peaches Samantha bought, we can set up a system of equations and solve for the variables. By using substitution, we find that Samantha bought 5 bananas and 10 peaches.

Explanation:

To determine the number of bananas and peaches that Samantha bought, we can set up a system of equations. Let x represent the number of bananas and y represent the number of peaches. From the given information, we know the cost of each banana is $0.40 and the cost of each peach is $0.50. We can write two equations to represent the total cost of the bananas and peaches:

$0.40x + $0.50y = $7 (equation 1)

x + y = 15 (equation 2)

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

From equation 2, we know that x = 15 - y. We can substitute this value of x into equation 1:

$0.40(15 - y) + $0.50y = $7

Simplifying the equation, we get:

$6 - $0.40y + $0.50y = $7

Combining like terms, we have:

$0.10y = $1

Dividing both sides by $0.10, we get:

y = 10

So, Samantha bought 10 peaches. Substituting this value of y back into equation 2, we can solve for x:

x + 10 = 15

Subtracting 10 from both sides, we get:

x = 5

Therefore, Samantha bought 5 bananas and 10 peaches.

-6x + 5 - (x² – 2x – 6) = -6x+5-x²+2x+6 = -x²-4x+11

Answer:

0.4 U.S dollars-4 I guess

Answer: I would say imaginary numbers...

Step-by-step explanation:

It follows the format of imaginary numbers: bi, where i = [tex]\sqrt{-1}[/tex] and b = -91.

Final answer:

The number -91i is an imaginary number, which is a subset of complex numbers with a real part of 0 and an imaginary part of -91.

Explanation:

The number -91i is a complex number.

Complex numbers consist of two parts: a real part and an imaginary part. In this case, the real part is 0 and the imaginary part is -91.

The 'i' represents the imaginary unit, which is defined as √(-1).

Therefore, -91i is an imaginary number because it exists only with the imaginary unit 'i', and does not have a real part.

Answer:

it has 5 sides and she walks a total of 12.5

Step-by-step explanation:

The Garden have 5 congruent side.

The Perimeter of Pentagon is 12.5 m.

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

We have, a pentagon having congruent sides as 2.5 cm

So, the Garden have 5 congruent side.

Now, the Perimeter of Pentagon

= 2.5 x 5

= 12.5 m

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Probability of randomly rolling a 3 is 1/4

Step-by-step explanation:

Step 1:

It is given that a tetrahedron has 4 sides with 1,2,3 and 4 and is randomly rolled. We need to compute the probability of randomly rolling a 3.

Step 2:

Probability of an event = (Favorable outcomes) / (Total outcomes).

There are 4 total outcomes when the tetrahedron is rolled, these are the values 1 to 4.

The only favorable outcome is getting a 3

Probability of getting a 3 when the tetrahedron is randomly rolled = 1/4

Step 3:

Answer:

Probability of randomly rolling a 3 is 1/4

Answer:

3/4

Step-by-step explanation:

Answer:

A. 7(3v-7)(v-1)

Step-by-step explanation:

21v2 - 70v +49

Factor out 7

7(3v2 - 10v +7)

write -10v as a difference

7(3v2 - 3v -7v +7)

Factor out 3v

7(3v × (v-1) - 7 × (v-1))

Factor out (v-1)

7(3v-7)(v-1)

Answer:

This formula corresponds to find the area of a rectangle/square.  You multiply one side by the other to get the area.

Example:  The sides of a rectangle are 6 in and 14 in.  Find the area.

A = l * w

A = 6 * 14

A = 84

Answer:

Step-by-step explanation:

Information: 1 ton = 2000 lb

Step one:

Do problem:

6000lb divides by 2000lb.

The answer is 3 tons.

The stock purchased for $77 grew by 17.9%, which equals an increase of $13.78. Therefore, the current stock price is $90.78.

To solve this problem, we need to calculate the percent increase of the stock's price. A percent increase of 17.9% means that the stock price has increased by 17.9% of the original price. To calculate the amount of the increase, we multiply the original price ($77) by the percent increase (17.9%), remembering to convert the percentage to a decimal (0.179).

So, $77 times 0.179 equals ~$13.78. This is the amount by which the stock price has increased. To find the new price of the stock, we add this increase to the original price, which gives us $77 (Original price) + $13.78 (Increase) = $90.78, so the stock is worth $90.78 now.

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Answer:

[tex]x\geq 0[/tex]  Domain

y = 40+1.5x  relationship

[tex]y \geq 40[/tex]  range

Step-by-step explanation:

The domain is the amount of carpet installed.  We can install zero carpeting or any positive amount of carpeting.

[tex]x\geq 0[/tex]

Now writing the equation for the cost

They charge 40 flat rate plus 1.50 per square foot

y = 40+1.5x

Let x = 0

y = 40+0

Even if they do not install anything, they still charge 40 dollars flat rate.  That is the minimum amount we have to pay.  As x increases, the cost will increase.

That is the range, or the values of y

[tex]y \geq 40[/tex]

We want to get the equation for the total cost and its domain and range.

The equation is:

c(x) = $40 + $1.50*x

domain: x > 0ft^2

range: y > $40.

First, let's get the equation.

We know that the carpet installer charges a flat rate of $40 plus $1.50 per square feet.

So if he/she works for x square feets, the cost is:

c(x) = $40 + $1.50*x

This is the cost equation.

Now we want to find the domain and range of this. The domain is given by the possible values of x that we can input in the function. Here we know that x must represent the number of square feet that are worked on, so it only must be a number larger than zero.

x > 0ft^2.

While the range is the set of the possible outputs.

The smallest possible output is the one we get when we evaluate the function in the smallest value of the domain, so we get:

y > $40.

These two define the domain and range.

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Quotient is 21

Step-by-step explanation:

Step 1:

Divide 85 by 4. Using long division method, find the quotient.   

  21

4|85

  8

-------

     5

  -  4

--------

      1

Answer:

The answer is 15 units!!

Step-by-step explanation:

[tex]17^{2} -8^{2} = 225\\\sqrt{225} =15[/tex]

The length of ZY to be a tangent is 15.

Option B is the correct answer.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is pir^2.

We have,

XY = Radius

And,

Radius = 8

Applying the Pythagorean theorem,

XZ² = XY² + ZY²

8² = (8 + 9)² + ZY²

64 = 289 + ZY²

ZY² = 289 - 64

ZY² = 225

ZY = 15

Thus,

The length of ZY is 15.

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Answer:

w

Step-by-step explanation:

In y = f(x), for every x value, there can be at most one y value. All the other tables have duplicate x values.

Option A: [tex]y=-\frac{1}{2} x+5[/tex] is the equation of the line.

Explanation:

It is given that the equation has a slope is [tex]m=-\frac{1}{2}[/tex]

It also contains the point [tex](8,1)[/tex]

We need to find the equation of line in slope - intercept form.

First, we shall determine the value of y - intercept(b).

Let us substitute the slope [tex]m=-\frac{1}{2}[/tex] and the point [tex](8,1)[/tex] in the slope - intercept form [tex]y=mx+b[/tex] , we get,

[tex]1=-\frac{1}{2} (8)+b[/tex]

Simplifying, we have,

[tex]1=-4+b[/tex]

Adding both sides of the equation by 4, we have,

[tex]1+4=b[/tex]

     [tex]5=b[/tex]

Thus, the y - intercept is [tex]b=5[/tex]

Now, substituting the slope [tex]m=-\frac{1}{2}[/tex] and the y - intercept [tex]b=5[/tex] in the slope - intercept form [tex]y=mx+b[/tex] , we get,

[tex]y=-\frac{1}{2} x+5[/tex]

Thus, the equation of the line is [tex]y=-\frac{1}{2} x+5[/tex]

Hence, Option A is the correct answer.

Answer:

X=32 and Y=12

The two numbers are 32 and 12

Step-by-step explanation:

Let the number be represented by X and Y

X = 20 + Y-------- equation 1

3X - Y = 84------- equation 2

solving the equation by substitution;

we substitute equation 1 into equation 2, we have;

3(20+Y)-Y = 84

expanding the bracket;

60 + 3Y - Y = 84

60 + 2Y = 84

2Y = 84 - 60

2Y = 24

divide both sides by 2;

2Y/2 = 24/2

Y = 12

from equation 1, we can find X by using the value of Y;

X = 20 + Y

X = 20 + 12

X = 32

PROOF:

using equation 2;

[3*32]-12=84

96-12=84

84=84

Answer:

The first point should be plotted at -4, then there should be a line that goes up 8 units and gives us a final destination of 4.

Answer:

The number is 20

Step-by-step explanation:

Step 1:  Convert words into an expression

5 less than a number is 15

5 less than a number is n - 5

n - 5 = 15

Step 2:  Add 5 to both sides to get the number

n - 5 + 5 = 15 + 5

n = 20

Answer:  The number is 20

Answer:

Step-by-step explanation:

15Answer:

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

So first combine like terms, -4x-6x= -10x. Then to isolate x by itself, divide both sides by -10 and get 2=x.

Answer:

x=2

Step-by-step explanation:

-20=-4x-6x

In this kind of question, ensure that you collect like terms especially when they are scattered that is not well arranged...

But the question given is straight forward so there is no need to collect like terms...but to solve directly,

-20=-4x-6x

-20=-10x

Divide both sides by -10

x=2

[tex]r^{}} = \sqrt{\frac{V}{\pi h }[/tex] is the equation correctly shows the radius.

Option B

Step-by-step explanation:

The cylinder’ volume (density) indicates how much amount of materials it can able to carry or how much amount of material it can immerse in it. The formula for volume of cylinder is given as:

                      [tex]V = \pi r^{2}h[/tex]

where

V = volume of cylinder

r = radius of cylinder

h = height of cylinder

In order to find radius following simplifications are done:

⇒[tex]V = \pi r^{2}h[/tex]

Keep the factor 'r' in one side and keep other in one side as below,

⇒ [tex]\frac{V}{\pi h } = r^{2}[/tex]

Taking square root on both sides,

⇒[tex]\sqrt{r^{2}} = \sqrt{\frac{V}{\pi h }[/tex]

⇒[tex]r^{}} = \sqrt{\frac{V}{\pi h }[/tex]

Therefore, option b is correct as [tex]r^{}} = \sqrt{\frac{V}{\pi h }[/tex].

Answer:

t = 2 years and 6 months

Step-by-step explanation:

in order to solve this :

t = I/Pr

now input the values given

[tex]t = \frac{81}{1200 * \frac{2.7}{100} }[/tex]

t = 2.5

this means 2.5 years , we can make this value exact :

2.5-2 = 0.5

0.5 * 12 months = 6 months

hence t = 2 years 6 months

Answer:

18

Step-by-step explanation:

Step 1:  Combine

16 + 8 - 3 + 6 - 9

24 - 3 + 6 - 9

21 + 6 - 9

27 - 9

18

Answer:  18

Answer: 1

Step-by-step explanation:

16+8

23 - 3

2 + 6

8 - 9

1