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Artemon [7]
3 years ago
8

A pizza is cut into five pieces. Four of the pieces are the same size, and the fifth size is .5 the size of each of the others.

What fraction of the pizza is the smallest piece
Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Answer:

1/10 of pizza

Step-by-step explanation:

Let x represent size of equal pieces.      

We have been given that a pizza is cut into five pieces. Four of the pieces are the same size, and the fifth size is 0.5 the size of each of the others.

This means that size of small piece would be half the size of other pieces, that is \frac{x}{2}.

Since the pizza is divided in 5 pieces, so we will divide \frac{x}{2} by 5 as:

\frac{\frac{x}{2}}{5}=\frac{x}{2\cdot5}=\frac{x}{10}=\frac{1}{10}x

Therefore, the smallest piece is 1/10 of the pizza.

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rewona [7]

The most suitable sentence correction for the underlined part would be:

<h3>What is sentence correction?</h3>

Sentence correction is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

  • In the given sentence, "It has long been known that the sea otters <u>living along the West Coast of North America help</u> keep kelp forests in their habitat healthy and vital",
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8 0
2 years ago
15. Cedric lives at one end of Main Street, and Landon lives at the other end of the street. Main Street is 6.02 Kilometers long
emmainna [20.7K]

Answer:

2,120 m

Step-by-step explanation:

Cedric lives at one end of Main Street, and Landon lives at the other end of the street

Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house.

Step 1

We calculate the kilometers Cedric has to walk to arrive at Landon's house

This is given as:.

6.02km - 3.9 km

= 2.12 km

Step 2

How many more meters must Cedric walk to arrive at Landon's house?

We convert from km to m

1 km = 1000m

2.12km = x

Cross Multiply

x = 2.12 × 1000m

x = 2120 m(meters)

7 0
3 years ago
Work out the value of 58 x 5-2 54 Total marks: 2
kakasveta [241]

Answer:

2(29x5−127)

Step-by-step explanation:

Factor 58x5−254

58x5−254

=2(29x5−127)

3 0
3 years ago
Read 2 more answers
The table below shows the distance a train traveled over time. How can you determine the equation that represents this relations
n200080 [17]

Answer:

see the explanation

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the time in seconds

y ---> the distance in meters

In this problem we have a proportional relationship between the variables x and y

Find the constant of proportionality k

k=\frac{y}{x}

For x=2, y=25 ---> k=\frac{25}{2}=12.5

For x=4, y=50 ---> k=\frac{50}{4}=12.5

For x=6, y=75 ---> k=\frac{75}{6}=12.5

For x=8, y=100 ---> k=\frac{100}{8}=12.5

so

The value of k is 12.5\ \frac{m}{sec}

In this problem the value of k or slope represent the speed of the train

The linear equation is equal to

y=12.5x

or

Distance=12.5Time

4 0
4 years ago
Given a circle with a diameter of 2/3, which equation expresses π as the ratio of the circumference of a circle to its diameter?
Advocard [28]
The circumference of a circle can be found using the equation: c = 2<span>πr, where c=circumference and r=radius.
The radius of the circle is also equal to half the diameter: r = </span>\frac{1}{2} d, where r=radius and d=diameter.

Plug the equation for the radius of the circle into the equation for the circumference of the circle and simplify to get an equation that relates circumference and diameter:
c = 2 \pi r\\&#10;c = 2 \pi (\frac{1}{2} d)\\&#10;c =  \pi d

Now solve that equation for π (aka isolate π) to get the ratio of the circumference to the diameter:
c = \pi d \\&#10; \pi  =  \frac{c}{d}

You know that the diameter, d =  \frac{2}{3}, so plug that into your ratio to get your answer. Remember that dividing by a fraction is equal to multiplying by the inverse of that fraction (aka the fraction flipped):
\pi = \frac{c}{d}\\&#10;\pi  = \frac{c}{\frac{2}{3}}\\&#10;\pi  = c \times  \frac{3}{2} \\&#10;\pi  = \frac{3c}{2} &#10;

Your answer is B) <span>3C/2 = π. </span>

6 0
3 years ago
Read 2 more answers
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