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Leni [432]
3 years ago
12

At the malt shop a large choclate shakes takes 8/9 of a pint og milk if the medium shake takes 1/7 the amount of a large how muc

h does the medium shake takes
Mathematics
1 answer:
ki77a [65]3 years ago
6 0

Answer:

A medium milkshake will use \frac{8}{63} of a pint of milk.

Step-by-step explanation:

Given:

A large chocolate milkshake takes = \frac{8}{9} of a pint of milk

While a medium chocolate takes = \frac{1}{7}  the amount of milk for a large milkshake.

To find the amount of milk required for a medium milkshakes.

Solution:

The amount of milk required for a medium milkshakes is given as:

⇒ \frac{1}{7} of  the amount of milk for a large milkshake.

Plugging in the amount of milk for a large milkshake.

⇒ \frac{1}{7} of \frac{8}{9}

by 'of' we mean multiplication.

⇒ \frac{1}{7}\times\frac{8}{9}

⇒ \frac{8}{63}

Thus, a  medium milkshake will use \frac{8}{63} of a pint of milk

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What is the equation of the line that passes through the point (-5,-2) and has a slope of -6/5
tatyana61 [14]

Answer:

The answer is

<h2>y =  -  \frac{6}{5} x - 8  \\</h2>

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1) \\

where

m is the slope

( x1 , y1) is the point

From the question the point is (-5,-2) and the slope is - 6/5

The equation of the line is

y + 2 =  -  \frac{6}{5} (x + 5) \\ y + 2  =  -  \frac{6}{5} x - 6 \\ y =  -  \frac{6}{5} x - 6 - 2

We have the final answer as

y =  -  \frac{6}{5} x - 8  \\

Hope this helps you

5 0
3 years ago
Given P(x) = 2x3 - 11x2 + 18x - 15 is divided by x – 3. Use synthetic division to find the quotient and the remainder.
katrin [286]
You can find the remainder right away by simply plugging in x=3. The polynomial remainder theorem guarantees that the value of p(3) is the remainder upon dividing p(x) by x-3, but I digress...

Synthetic division yields

3   |   2   -11   18   -15
.    |           6   -15     9
- - - - - - - - - - - - - - - - -
.    |   2     -5     3     -6

which translates to

\dfrac{2x^3-11x^2+18x-15}{x-3}=2x^2-5x+3-\dfrac6{x-3}

(and note that p(3)=2(3)^3-11(3)^2+18(3)-15=-6, as expected)
5 0
3 years ago
What is the volume of a cylinder that is 15-m tall and has a radius of 3 m. Use 3.14 for π, and round your answer to the nearest
Agata [3.3K]

Answer:

D. 424 m³

Step-by-step explanation:

Use the formula for the volume of a cylinder

V = \pir²h

Plug in the values we know

V = (3.14)(3²)(15)

V = 423.9 m³

This is closest to answer choice D, 424 m³

So, D is correct

7 0
3 years ago
The solution of 2x2 + x = 3 is shown below.
Yanka [14]

Answer:

b. {(-1.5, 9.5), (1,7)}

Step-by-step explanation:

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9 0
3 years ago
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satela [25.4K]

Substitue what y equals for y and solve.

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Hope this helps.

3 0
3 years ago
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