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3 years ago

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nate's quiche is cut into 7 equal parts. only 3/7 is left. he wants to give 3 of his friends equal part. write 3/7 as the sum of

unit fractions.

2 answers:

Dmitriy789 [7]3 years ago

7 0

Answer:

$\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$

Step-by-step explanation:

We have been given that Nate's quiche is cut into 7 equal parts. only 3/7 is left. He wants to give 3 of his friends equal part.

Let us divide $\frac{3}{7}$ by 3 to find the part given to each of Nate's friends.

$\frac{3}{7}\div 3\\\Rightarrow\frac{3}{7}\div\frac{3}{1}\\\Rightarrow\frac{3}{7}\times\frac{1}{3}\\\Rightarrow\frac{1}{7}$

Since Nate gave each of his friend $\frac{1}{7}$ of quiche, so we can write $\frac{3}{7}$ as the sum of unit fractions will be:

$\frac{3}{7}=\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$

Stolb23 [73]3 years ago

5 0

The problem is to write 3/7 as the sum of equal parts, that is a sum of fractions:
1/7 + 1/7 + 1/7 = 3/7
note that we are only adding the numerator, the upper part.

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Answer:

2.75 hours

Step-by-step explanation:

Speed is 24km per hour ( $\frac{24km}{1hour}$ ), and the bus covered 66km.

We need to get a value of <em>km</em> with the rate (24/1) and distance (66) given.

We get: $\frac{1hour}{24km} *66km$ .

The km cancel out, leaving us with 66/24 hours, or 2.75 hours.

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2 years ago

You are designing a miniature golf course and need to calculate the surface area and volume of many of the objects that will be

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a. To solve the first part, we are going to use the formula for the surface area of a sphere: $A=4 \pi r^2$
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$r$ is the radius of the sphere
We know from our problem that $r=5ft$ ; so lets replace that value in our formula:
$A=4 \pi (5ft)^2$
$A=314.16ft^2$

To solve the second part, we are going to use the formula for the volume of a sphere: $V= \frac{4}{3} \pi r^3$
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We can conclude that the surface area of the sphere is 314.16 square feet and its volume is 523.6 cubic feet.

b. To solve the first part, we are going to use the formula for the surface area of a square pyramid: $A=a^2+2a \sqrt{ \frac{a^2}{4} +h^2}$
where
$A$ is the surface area
$a$ is the measure of the base
$h$ is the height of the pyramid
We know form our problem that $a=8ft$ and $h=12ft$ , so lets replace those value sin our formula:
$A=(8ft)^2+2(8ft) \sqrt{ \frac{(8ft)^2}{4} +(12ft)^2}$
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To solve the second part, we are going to use the formula for the volume of a square pyramid: $V=a^2 \frac{h}{3}$
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$V$ is the volume
$a$ is the measure of the base
$h$ is the height of the pyramid
We know form our problem that $a=8ft$ and $h=12ft$ , so lets replace those value sin our formula:
$V=(8ft)^2 \frac{(12ft)}{3}$
$V=256ft^3$

We can conclude that the surface area of our pyramid is 266.39 square feet and its volume is 256 cubic feet.

c. To solve the first part, we are going to use the formula for the surface area of a circular cone: $A= \pi r(r+ \sqrt{h^2+r^2}$
where
$A$ is the surface area
$r$ is the radius of the circular base
$h$ is the height of the cone
We know form our problem that $r=5ft$ and $h=8ft$ , so lets replace those values in our formula:
$A= \pi (5ft)[(5ft)+ \sqrt{(8ft)^2+(5ft)^2}]$
$A=226.73ft^2$

To solve the second part, we are going to use the formula for the volume os a circular cone: $V= \pi r^2 \frac{h}{3}$
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$V$ is the volume
$r$ is the radius of the circular base
$h$ is the height of the cone
We know form our problem that $r=5ft$ and $h=8ft$ , so lets replace those values in our formula:
$V= \pi (5ft)^2 \frac{(8ft)}{3}$
$V=209.44ft^3$

We can conclude that the surface area of our cone is 226.73 square feet and its surface area is 209.44 cubic feet.

d. To solve the first part, we are going to use the formula for the surface area of a rectangular prism: $A=2(wl+hl+hw)$
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$h$ is the height
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We know from our problem that $w=6ft$ , $l=10ft$ , and $h=16ft$ , so lets replace those values in our formula:
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<span>We can conclude that there are 12 faces in on the four geometric shapes on the holes.
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f. Remember that an edge is a line segment on the boundary of the polygon.
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Since we have 20 edges in total, we can conclude that your boss will need 20 brackets on the four shapes.

g. Remember that the vertices are the corner points of a polygon.
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Total vertices: 5 + 8 = 13 vertices

We can conclude that there are 0 vertices for the sphere and the cone; there are 5 vertices for the pyramid, and there are are 8 vertices for the solid (rectangular prism). We can also conclude that your boss will need 13 brackets for the vertices of the four figures.

7 0

3 years ago

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devlian [24]

X^2+10+25=35 if you put all numbers on one side it's:
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x^2=0 square root
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3 years ago

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Dvinal [7]

Answer:

The right solution is "0.5".

Step-by-step explanation:

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By putting the values, we get

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2 years ago

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goblinko [34]

The probability that Hamid guesses both answers correctly is 10%.

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Therefore, the probability that Hamid guesses both answers correctly is 10%.

Learn more in brainly.com/question/22049333

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2 years ago

Read 2 more answers