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UNO [17]
3 years ago
8

Change 5 into a rational number a/b

Mathematics
1 answer:
kupik [55]3 years ago
7 0

Answer:

\frac{5}{1}

Step-by-step explanation:

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A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product. How many total cup
givi [52]

Answer:

3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product

Step-by-step explanation:

This question can be solved by a rule of three.

A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product.

1 + 3/4 cups = 1 + 0.75 = 1.75 cups for one batch.

How many total cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product?

2 and 1/2 batches is 2 + 0.5 = 2.5 batches.

1.75 cups for one batch. How many cups for 2.5 batches? So

1 batch - 1.5 cups

2.5 batches - x cups

c = 2.5*1.5 = 3.75

3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product

8 0
3 years ago
Read 2 more answers
Given the coordinates below, what is the midpoint of AB?<br> A(-6, -10)<br> B(2,5)
madreJ [45]

Given :

\:

  • A(-6, -10)
  • B( 2, 5)

\:

\gray{ \frak{The \:  given \:  two \:   \: points  \: are(x_{1 },y_{1})=(−6 , -10)and(x_{ 2 },y_{2} )=( 2,5 )\:}}

\:

Let's solve by using midpoint formula :

\:

\bf \boxed{\color{red}\frak{Midpoint \:   \: Formula :  {( \: x ,\:y \:  ) = }(  \frak{ \frac{x_{1 } + y_{1}}{2} , \frac{x_{2 } + y_{2}}{2} )}}}

\:

\large \gray{ \frak{( \: x ,\:y \:  ) = }(  \frak{ \frac{ -6 + 2}{2} , \frac{ - 10 + 5}{2} )}}

\:

\: \large \gray{ \frak{( \: x ,\:y \:  ) = }(  \frak{ \frac{ -4}{2} , \frac{ - 5}{2} )}}

\:

\large \gray{ \frak{( \: x ,\:y \:  ) = }(  \frak{  \cancel\frac{ -4}{2} ,  \cancel\frac{ - 5}{2} )}}

\:  \:

\underline{ \boxed{ \large \red{ \frak{option \: d }(  \frak{   - 2, - 2.5)}}}}✓

Hope Helps! :)

6 0
2 years ago
What is the value of x in the equation 3x – 1/9y = 18, when y = 27?1
Andrews [41]
3x-3=18
3x=18+3
3x=21
x=7
8 0
4 years ago
-2x + 5 (1 -7x ) =190
luda_lava [24]
The answer is x= -5 ...explained... -2x + 5 -35x= 190...-37x +5 = 190 ... now subtract 190-5 = 185... divide 185 by - 37 and get -5
8 0
3 years ago
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Seven h
Arisa [49]

Answer:

Step-by-step explanation:

Suppose the dimensions of the playground are x and y.

The total amount of the fence used is given and it is 780 ft. In terms of x and y this would be 3x+2y=780 (we add 3x because we want it to be cut in the middle). Therefore,  y= 780/2-3/2x. Now, the total area (A )to be fenced is

A=x*y= x*(390-3/2x)=-3/2 x^2+390x

Calculating the derivative of A and setting it equals to 0 to find the maximum

A'= -3x+390=0

This yields x=130.

Therefore y=780/2-3/2*130=195

Thus, the maximum area is 130*195=25,350ft^2

8 0
3 years ago
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