An 8 ounce mug requires 0.3 cup of hot cocoa mix. How much hot cocoa mix is needed for a 12 ounce mug?

Answer:

8 because 56/7 = 8

Step-by-step explanation:

Answer:

6 kilograms of apples

Step-by-step explanation:

8.5-2.5=6

Hope I helped

Answer:

10 square units.

Step-by-step explanation:

Remark

No matter how weird it looks, the figure is a trapezoid. It has 2 parallel lines.

The height has 2 right angles, one at each end.

Givens

b1 = 2

b2 = 8

h = 2

Formula

Area = 1/2 * (b1 + b2 ) * h

Solution

Area = 1/2 * (2 + 4 + 2 + 2) * 2    Be sure you understand where all those 2s came from.

Area = 10 square units

Answer:

C The diameter of circle P is the same length as the radius of circle Q.

Step-by-step explanation:

Answer:

[tex]\frac{140}{3}, \frac{140}{3}, \frac{140}{3}[/tex]

Step-by-step explanation:

Let the numbers be [tex]x, y\ and\ z.[/tex]

Such that:

[tex]x + y + z = 140[/tex]

Make z the subject

[tex]z = 140 -x - y[/tex]

For their product to be maximum, we have:

[tex]f(x,y,z) = xyz[/tex]

Substitute [tex]z = 140 -x - y[/tex] in [tex]f(x,y,z) = xyz[/tex]

[tex]f(x,y) = xy(140 - x - y)[/tex]

Open bracket

[tex]f(x,y) = 140xy - x^2y - xy^2[/tex]

Differentiate w.r.t x and y

[tex]f_x=140y - 2xy - y^2[/tex]

[tex]f_y=140x - x^2 - 2xy[/tex]

Since the products are maximum, then [tex]f_x = f_y = 0[/tex]

For [tex]f_x=140y - 2xy - y^2[/tex]

[tex]140y - 2xy - y^2 = 0[/tex]

Factorize:

[tex]y(140 - 2x - y) = 0[/tex]

Split

[tex]y = 0\ or\ 140 - 2x - y = 0[/tex]

Make y the subject

[tex]y = 0\ or\ y = 140 - 2x[/tex]

For [tex]f_y=140x - x^2 - 2xy[/tex]

[tex]140x - x^2 - 2xy = 0[/tex]

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

Substitute y = 0

[tex]140x - x^2 -2x*0 = 0[/tex]

[tex]140x - x^2 = 0[/tex]

Factorize

[tex]x(140 - x)= 0[/tex]

[tex]x = 0\ or\ 140-x = 0[/tex]

[tex]x = 0\ or\ x = 140[/tex]

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

Substitute [tex]y = 140 - 2x[/tex]

[tex]140x - x^2 - 2xy = 0[/tex]

[tex]140x - x^2 - 2x(140 - 2x) = 0[/tex]

[tex]140x - x^2 - 280x + 4x^2 = 0[/tex]

Re-arrange

[tex]4x^2 -x^2 +140x - 280x = 0[/tex]

[tex]3x^2 -140x = 0[/tex]

Factor x out

[tex]x(3x - 140) = 0[/tex]

Divide through by x

[tex]3x - 140 = 0[/tex]

[tex]3x = 140[/tex]

[tex]x = \frac{140}{3}[/tex]

Recall that: [tex]y = 140 - 2x[/tex]

[tex]y = 140 - 2 * \frac{140}{3}[/tex]

[tex]y = 140 - \frac{280}{3}[/tex]

Take LCM

[tex]y = \frac{140*3-280}{3}[/tex]

[tex]y = \frac{140}{3}[/tex]

Recall that:

[tex]z = 140 -x - y[/tex]

[tex]z = 140 - \frac{140}{3} - \frac{140}{3}[/tex]

Take LCM

[tex]z = \frac{3 * 140- 140 - 140}{3}[/tex]

[tex]z = \frac{140}{3}[/tex]

Hence, the numbers are:

[tex]\frac{140}{3}, \frac{140}{3}, \frac{140}{3}[/tex]

Answer:

Step-by-step explanation:

tto blurrry

Answer:

y=3(x+3)^2-8

Step-by-step explanation:

Vertex form:

y=a(x-h)^2+k

h=-3, k=-8

y=a(x+3)^2-8

sub (-4,-5)

-5=a(-4+3)^2-8

a=3

y=3(x+3)^2-8

Answer:

5/7

Step-by-step explanation:

5/7

It is always good to double-check your math to make sure you did it right. When I entered 4/7 for x in this equation x / (4/5) = (5/7), we get the following true equation which means the math is correct.

(4/7) / (4/5) = (5/7)

Answer:

Step-by-step explanation:

Which Method Should Be Used to Solve a Quadratic Equation? Quadratic equations are of the form ax2 + bx + c = 0 where a, b and c are real numbers, a ≠ 0. Quadratic equations have two solutions, but it is possible that one solution may repeat. happy to help

Answer:

8

Step-by-step explanation:

R is another way of saying multiply 10 (Or any number) by something to get 80 (Or the sum)

10 x 8 = 80

80=10r

r = 8

Answer:

r= 80/10

r= 8

hope it helps you

Step-by-step explanation:

you may Mark me as brainliest:)

The next term of the sequence is 14.

A sequence in mathematics is a ordered set of objects or numbers which are related with something.

For example, 1, 3, 5, ..... is a sequence of odd numbers.

Given that,

The term-to-term rule for a sequence is " Add 1 and then double"

First term = 2

Second term = 6

6 is got by adding 1 to 2 and then doubling it.

2 + 1 = 3

3 × 2 = 6

In the same way,

Third term = (6 + 1)2 = 7 × 2 = 14

Hence the next term of the sequence is 14.

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Answer:

113.10

Step-by-step explanation:

Answer:

how to make sugar cookies :)

Step-by-step explanation:

2 ¾ cups all-purpose flour

1 teaspoon baking soda

½ teaspoon baking powder

1 cup butter, softened

1 ½ cups white sugar

1 egg

1 teaspoon vanilla extract

Answer:

I believe the correct answer is option B. 7 x 10

Step-by-step explanation:

Hope this helps if not I'm very sorry ^^"

Answer:

7*8

17*8=(10*8)+(7*8)

136=80+56

136=136

Answer:

Population mean = 7 ± 2.306 × [tex]\frac{2.29}{\sqrt{9} }[/tex]

Step-by-step explanation:

Given - A university researcher wants to estimate the mean number

            of  novels that seniors read during their time in college. An exit

            survey was conducted with a random sample of 9 seniors. The

            sample mean was 7 novels with standard deviation 2.29 novels.

To find - Assuming that all conditions for conducting inference have

              been met, which of the following is a 94.645% confidence

              interval for the population mean number of novels read by

              all seniors?

Proof -

Given that,

Mean ,x⁻ = 7

Standard deviation, s = 2.29

Size, n = 9

Now,

Degrees of freedom = df

                                = n - 1

                                = 9 - 1

                                = 8

⇒Degrees of freedom = 8

Now,

At 94.645% confidence level

α = 1 - 94.645%

   =1 - 0.94645

  =0.05355 ≈ 0.05

⇒α = 0.5

Now,

[tex]\frac{\alpha}{2} = \frac{0.05}{2}[/tex]

  = 0.025

Then,

[tex]t_{\frac{\alpha}{2}, df }[/tex]  = 2.306

∴ we get

Population mean = x⁻ ± [tex]t_{\frac{\alpha}{2}, df }[/tex] ×[tex]\frac{s}{\sqrt{n} }[/tex]

                           = 7 ± 2.306 × [tex]\frac{2.29}{\sqrt{9} }[/tex]

⇒Population mean = 7 ± 2.306 × [tex]\frac{2.29}{\sqrt{9} }[/tex]

Answer:

E

Step-by-step explanation:

on ap classroom

Answer: 2

Step-by-step explanation:

Answer:

the answer is the x-intercepts are about(0,-6) and (0,2) hope this helps

Step-by-step explanation:

Answer:

3 + 3x + 15y

Step-by-step explanation:

You may find it easier to write these two expressions into column form:

  (-4+5y-2x)

+ (5x+7+10y)

Combine like terms (do this for constants, x and y terms):

  (-4+5y-2x)

+ (5x+7+10y)

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

 3 + 3x + 15y

Answer:

240

Step-by-step explanation:

Answer:

Step-by-step explanation:

The height of given hexagonal prism is 7x³+4x²-3x+5.

Given that, the volume of a hexagonal prism is [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] and the area of the base is 5x² - 6.

A hexagonal prism is a three-dimensional solid shape with 8 faces that including hexagon bases.

Volume of a hexagonal prism = Area of a base × Height.

Here, [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] = 5x² - 6 × Height

Height = [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] ÷ 5x² - 6

5x² - 6| [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] | 7x³+4x²-3x+5

            [tex]35x^5[/tex]           (+) 42x³

          ____________________

                       [tex]20x^4[/tex] - 15x³+x²+18x-30

                    (-)[tex]20x^4[/tex]   (+)24x²

           ____________________

                          - 15x³+25x²+18x-30

                        (+)15x³         (-)18x

                      ____________________

                                     25x²-30

                                  (-)25x²(+)30

                           ___________________

                                           0

So, height = 7x³+4x²-3x+5

Therefore, the height of given hexagonal prism is 7x³+4x²-3x+5.

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9s is correct

hope this helps

Answer:

Step-by-step explanation:

x1 / y1    times x2 / y2       where are two fractions

x1/y1 times x2/y2   = x1 times x2 / y1 times y2   = z1 / z2    z is a new fraction

fractions multiply like regular wholes number, which can also be represented in fractional form

Examples:

2/1   times 3/1 = 2x3 /1x1   6/1

10/2 x 18/3 = 180/6     now look at 10/2 = 5     18/3 = 6    5x6 =  30    

  5  x    6    = 30

Now apply to your fractions:

3/7 x 4/5   =   3x4 / 7x5    

12/35  

Answer:

try this 20+10 =       20x10 =       20-10=

Step-by-step explanation:

add the first one, than times the other one, after subtract the last one.

Answer:

9.42477796 ≈ 9.4

Step-by-step explanation:

Ao= π*r

    = π*(6/2)

    =π*3= 9.42477796 ≈ 9.4

Answer:

d

Step-by-step explanation:

9514 1404 393

Answer:

  62°

Step-by-step explanation:

Angles A and H are alternate exterior angles, so are congruent.

  ∠H = 62°

Answer:

86 - 9 = 77

Step-by-step explanation:

look at the screen shot ya know

The equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola is (35 + a)²/a² - 8²/b² = 1 and (22+ a)²/a² - 4²/b² = 1

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the total height of the drum is 35 inches.

The diameter at the top of the drum = is 16 inches, and

The minimum diameter is 8 inches, occurring at a height of 22 inches.

The equation of the hyperbola be denoted as;

x²/a² - y²/b² = 1

From the question, with x and y coordinates representing height and radius respectively,

Then,

When  x = 35 + a, y is = 16/2 = 8 and

At x = 22+ a, y  is = 8/2 = 4

Thus,

(35 + a)²/a² - 8²/b² = 1

(22+ a)²/a² - 4²/b² = 1

By solving, we have, a = 128.95 and b = 14.75

Therefore a= 128.95 and b = 14.75

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Answer:

0.1714285714285714

Step-by-step explanation:

Answer:

Amanda will catch up Ben after 0.6 hours.

Step-by-step explanation:

Amanda begins jogging along the same path at 7 mi/h.

This means that Amanda's position, after t hours, is given by:

[tex]A(t) = 7t[/tex]

Ben starts walking along a path at 2 mi/h.

Amanda leaves after one and a half hour, which means that Ben will be at position 2*1.5 = 3. So Ben's position after t hours is given by:

[tex]B(t) = 3 + 2t[/tex]

How long (in hours) will it be before Amanda catches up to Ben?

This will happen when:

[tex]A(t) = B(t)[/tex]

So

[tex]7t = 3 + 2t[/tex]

[tex]5t = 3[/tex]

[tex]t = \frac{3}{5}[/tex]

[tex]t = 0.6[/tex]

Amanda will catch up Ben after 0.6 hours.

It would take Amanda 0.6 hours or 6/10 hours to catch up with Ben.

This question comes from a topic in mathematics called rates and it's used to compare two values with each other and how one value affects the other value.

Let s represent the distance Amanda travels until she meet Ben.

We can set a timer on our phone when she leaves in order to track the time taken.

Let t represent the time taken.

We can come up with two equations from these scenario

Substitute equation (ii) into equation (i)

[tex]7t -3 =2t[/tex]

collect like terms

[tex]7t-2t=3\\5t=3\\t=3/5\\t=0.6[/tex]

From the above, we can see it took her 0.6 hours to catch up with Ben.

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Answer:

1.25

Step-by-step explanation:

5/9 divided by 4/9 is 1.25