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labwork [276]
3 years ago
15

Translate the following written expression into a mathematical expression. Then, find the expression's value when a = 186 and b

= 5.
"The difference of the quotient of a and 6 and b squared"

A.
6
B.
21
C.
-6
D.
56
Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0

Answer: The correct answer is option A: 6

Step-by-step explanation: We shall start by splitting the word problem into bits to ease our calculations.

We start with “the quotient of a and 6...” and that can be expressed as

a/6 where a equals 186, this becomes

186/6 and this equals 31.

Note that quotient means the result derived from dividing two numbers/values.

Next, “The difference of ... and b squared”

The missing part of this statement has been calculated as 31, so this can now be written as “The difference of 31 and b squared” where b equals 5 and b squared now equals 25. Hence what we have is the difference of 31 and 25

That is, 31 - 25 and that equals 6.

Therefore, the expression can now be written out as;

(a/6) - b^2

When a equals 186 and b equals 5, the answer is 6

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PLEASE HELP!!!!!!!!!
Advocard [28]
B. True is the answer.
4 0
3 years ago
Jonah’s dog walking service went so well that he decided to do it again the following summer. This summer, however, Jonah will o
SOVA2 [1]

Answer:

The correct options are;

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

4) Double the amount of dogs walked per week but  keep the same rate of $3 per dog

Step-by-step explanation:

The parameters given are;

Jonah is hoping to earn $200 from 8 weeks of dog walking

Therefore, Jonah has to make $200/8 per week or $25 per week

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

With the above strategy, Jonah will make $5 × 5 = $25 per week which will amount to $25 × 8 = $200 in 8 weeks total

2) Walking 5 dogs per week at $4 per dog = $20 per week and 8 × $20 = $160 in 8 weeks

3) Walking 8 dogs per week at $3 per dog = $24 per week and 8×$24 = $192 in 8 weeks

4) Double the amount of dogs walked per week to 5×2 or 10 dogs per week but keep the same rate of $3 per dog would give him 10 × $3 = $30 per week and 8 × $30 = $240 in 8 weeks

5) Double the amount of dogs walked per week to 5×2 or 10 dogs per week and cut his rate to $2 per dog would give him 10 × $2 = $20 per week and 8 × $20 = $160 in 8 weeks

Therefore, the strategies that would allow Jonah to reach his $200 goal in 8 weeks are;

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

4) Double the amount of dogs walked per week but  keep the same rate of $3 per dog.

7 0
4 years ago
What is the value of -2(x+5) Please I'm in need of help
irina [24]

Answer:

-2x - 10

Step-by-step explanation:

-2 x X = -2x

-2 x 5 = -10

Put them together to get:

-2x - 10

5 0
3 years ago
Read 2 more answers
Simplify each of the the following expression
Papessa [141]

Answer:

International resources means the resources which belong to all the countries of the world. Example: seas and oceans etc. International Resources are regulated by some International institutions. For instance, every country is given some rights over the oceans to a specific range.

8 0
3 years ago
a small jet can fly 1,435 miles in 5 hours with a tailwind but only 1,215 miles in 5 hours into a headwind. find the speed of th
Ne4ueva [31]

Answer:

Speed of Jet in Still Air = 265 miles per hour

Speed of Wind = 22 miles per hour

Step-by-step explanation:

Let x be speed of jet

and c be speed of wind

We know D = RT, where

D is distance

R is rate

T is time

For first leg:

1435 miles in 5 hours, the rate is:

Rate = 287 mph

For second leg:

1215 miles in 5 hours, the rate is:

Rate = 243 mph

So 287 is with wind and 243 against wind, thus we can write:

x + c = 287

x - c = 243

Adding gives us:

2x = 530

x = 265 miles per hour [still rate]

Speed of wind:

x + c = 287

265 + c = 287

c = 22 miles per hour [speed of wind]

4 0
3 years ago
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