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eduard
2 years ago
15

Ernesto used 2/3 of a cup of frosting to decorate some cupcakes. He divided all the frosting equally among 4 cupcakes. How much

frosting did Ernesto use on each cupcake?
Mathematics
1 answer:
Lelu [443]2 years ago
8 0

Answer:

1/6

Step-by-step explanation:

We are told that:

Ernesto used 2/3 of a cup of frosting to decorate some cupcakes.

He divided all the frosting equally among 4 cupcakes.

The amount of frosting Ernesto used on each cupcake is calculated as:

2/3 cup ÷ 4 cupcakes

= 2/3 × 1/4

= 2/12

= 1/6 of 2/3cup of frosting was used on each cupcake

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A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which
Aloiza [94]

Answer:

\frac{4cm}{1year}*\frac{10mm}{1cm}*\frac{1year}{365days}

Step-by-step explanation:

Whenever we are doing unit conversions, we have to remember to make the first ratio and then each successive ratio should be put <em>in such a way</em> that the top and bottom cancels out with each unit and whatever we want, remains.

A simple example would be if we were to just convert from cm to mm. Suppose we want to convert 5 centimeters to millimeters. We can write the ratios is 2 ways:

First:

5cm*\frac{10mm}{1cm}

Second:

5cm*\frac{1cm}{10mm}

The first one is correct since we want mm, mm should be on top and cm should be on bottom form cm and cm to get canceled.

Now, for our problem, we want mm on top and day on bottom. So, cm and year should cancel. Looking at the first choice, the conversion factors are correct & skimming through, we see that

cm and cm cancels (top and bottom), also year and year cancels (top and bottom), it will leave us with mm on top and days on bottom, <em>which is what we want</em>.

First answer choice is right.

6 0
3 years ago
Read 2 more answers
a train leaves from new york to chicago at 60mph. ANother train leaves from Chicago to New York at 40 mph. How far apary are the
Nutka1998 [239]

Answer:

100 miles

Step-by-step explanation:

Relative Speed: 60+40=100 mph

you can think that one train is stationary,another one is 100 mph

so one hour before the train pass each other,the distance is 100 miles

3 0
2 years ago
Which events are not independent?
strojnjashka [21]
It Is D because pulling out a yellow marble is INDEPENDENT to pulling out a green marble which is also independent. hope I helped :]

8 0
2 years ago
Write the equation of a line perpendicular to 2x + 3y = 4 and passing through (-3,-5).
Tasya [4]

Answer:

Step-by-step explanation:

A line perpendicular to the given line has a slope that is the negative inverse of the reference line.  

Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.

2x + 3y = 4

3y=-2x+4

y = -(2/3)X + (4/3)

The reference slope is -(2/3).  The negative inverse is (3/2), which will be the slope of a perpendicular line.  We can write the new line as:

y = (3/2)x + b

Any value of b will still result in a line that is perpendicular.  But we want a value of b that will shift the line so that it intersects the point (-3,-5).  Simply enter this point in the above equation and solve for b.

y = (3/2)x + b

-5 = (3/2)(-3) + b

-5 = -(9/2) + b

-5 = -4.5 + b

b = - 0.5

The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is

y = (3/2)x - 0.5

6 0
1 year ago
Y=0.5x+3.5 on graphs
tresset_1 [31]
You should go up 3.5 on the Y-Axis and then go up .5 and over 1.
5 0
3 years ago
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