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Arisa [49]
3 years ago
11

A recipe used 2/3 cup of sugar for every 2 teaspoons of butter. How much sugar was used per teaspoon of butter

Mathematics
2 answers:
myrzilka [38]3 years ago
8 0

Answer:

2/3cups 2 teaspoons

(2/3 )cups/2teaspoons =1/3 cups per teaspoon

Answer= 1/3 cups per teaspoon

TEA [102]3 years ago
3 0

Answer:

1/3 cup sugar

Step-by-step explanation:

to find this out, we must first find the proportional relationship between the first 2 values of the sugar and the butter

2/3c sugar to 2 teaspoons butter

then we figure out what we changed on one side of the equation above and do the same on the other side

2/3c sugar = 2t butter

2t butter / 2 = 1t butter

now to apply this to the other side of the =

(2/3c sugar / 2) = (2t butter / 2)

1/3c sugar = 1t butter

this process is very versatile and can be used to find out many problems like this, say you need to figure out how much sugar you need for 4t butter, all you have to do is multiply instead of divide

hope this helps ya out with this and other future problems

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What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?
Ahat [919]
<span>3x + y = 9 (I)
</span><span>y = –4x + 10 (II)
------------------------
</span>\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.

Pass the incognito "4x" to the first term, changing the signal when changing sides.
<span>-------------------------
simplify by (-1)
</span>\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.<span>

-------------------------
</span>\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right.     &#10;
<span>
-------------------------
</span>\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.<span>

-----------
</span>\boxed{x = 1}<span><span>

</span></span><span>Substitute in equation (I) to find the value of "Y".

</span>3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
\boxed{y = 6}

Answer:
\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}

6 0
3 years ago
The quantity of Sensitech laser gaming mice demanded each month is related to the unit price by the equation p = 480.03x2 + 1 (0
stich3 [128]

Answer:  a) p=480.03x^2+1, b) R'(x)=1440.09x^2+1 c) $5761.36.

Step-by-step explanation:

Since we have given that

Unit price is expressed as

p=480.03x^2+1

Let x be the number of units of a thousands.

So, Revenue function is given by

R(x)=px\\\\R(x)=x(480.03x^2+1)\\\\R(x)=480.03x^3+x

.(b) Find the marginal revenue function R'..

Marginal revenue function becomes,

R'(x)=3\times 480.03x^2+1\\\\R'(x)=1440.09x^2+1

(c) Compute R'(2).

R'(2)=1440.09(2)^2+1\\\\R'(2)=5760.36+1\\\\R'(2)=5761.36

Hence, a) p=480.03x^2+1, b) R'(x)=1440.09x^2+1 c) $5761.36.

5 0
3 years ago
What is the midpoint of a segment with endpoints at(-4,-8) and (8, 10)?
vekshin1

Answer:

The answer is

<h2>( 2 , 1)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = ( \frac{x1 + x2}{2}  , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,-8) and (8, 10)

The midpoint is

M = ( \frac{ - 4 + 8}{2}  , \:  \frac{ - 8 + 10}{2} ) \\  = ( \frac{4}{2} ,  \frac{2}{2} )

We have the final answer as

<h3>( 2 , 1)</h3>

Hope this helps you

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