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nadezda [96]
2 years ago
12

You want to see how many pieces of candy you can eat per minute. You run a few tests and come up with the equation y=9x

Mathematics
1 answer:
expeople1 [14]2 years ago
7 0
Candy/minute

That will be your unit rate

if you go 20 kilometres in 1 hour in your car, your unit rate will be

kilometres/hour

Same thing!

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Find the surface area of the following figure.
fgiga [73]

Answer:

\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

\qquad\boxed{\sf Area_{(square)}= side^2}

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x  \\\\\sf\implies x = \dfrac{ b}{3}

\rule{200}2

Hence the TSA of cuboid in terms of lenght and breadth is :-

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}

6 0
2 years ago
A miniature golf course recently provided its customers with 8 golf balls, 2 of which were yellow. What is the experimental prob
bonufazy [111]

Answer:

<h2>There is a 25% chances of receiving a yellow golf ball next time.</h2>

Step-by-step explanation:

Givens

  • There are 8 golf balls in total.
  • There are 2 yellow golf balls out of 8.

The experimental probability refers to the ratio between the number of times an even happens and the total number of cases. So,

P=\frac{2}{8}=0.25

Therefore, there is a 25% chances of receiving a yellow golf ball next time.

5 0
3 years ago
Read 2 more answers
Can U guys Answer These 5 Questions For Me With Work Shown
guapka [62]
You write it in verbal expression so 1) 16 less than T is 39 2) product of 2 and w 3) the sum of v and 12 is 30 4) 8 more than w 5) the sum of n and 8 is 47
4 0
3 years ago
A line is graphed to show the relationship between the number of words typed and the time Mary spends on a typing test.
Ilya [14]
Thanks for including the graph! 

Okay, so -

From examining the graph, we can see that for every minute the number of words increases by 40. 

Now, since the x axis (the horizontal thingy kabob at the bottom) is time, and the y axis (the vertical thingy kabob) is the number of words - we can conclude that the answer is B! 

Just remember that the value of the y axis is dependent on the value of the x axis. Also, note that x almost always represents time!
7 0
3 years ago
Read 2 more answers
Help ASAP Jack has a rectangular piece of land, the area of which is represented by a1 = 9.5l. His brother has a different recta
netineya [11]
1+1=2 ansjdjdisjjxjzjzjjzjsjjsusususuausususuuaua
5 0
2 years ago
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