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raketka [301]
3 years ago
10

Miles is planning to spend 2/3 as many hours Bicycling this week as he did last week is Miles going to spend more hours were few

er hours Bicycling this week than last week
Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

Answer: Yes, He bicycled fewer in this week than last week.

Step-by-step explanation:

Let he bicycled x hours in the last week,

Then, According to the question,

\text{ He bicycled in this week} = \frac{2}{3} \text{ of the hours he bicycled last week} = \frac{2x}{3}

\text{ Since, }1 > \frac{2}{3}

\implies x > \frac{2x}{3}

\text{ He bicycled in the last week} > \text{ he bicycled in this week}

Hence, He bicycled fewer in this week than last week.


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PLEASE GIVE AN EXPLANATION WITH YOUR ANSWER! The table below shows the change in the value of shares over the last three years.
gulaghasi [49]

First, lets convert them into multipliers:

The multiplier for a:

                             25% increase = 1.25

                             40% decrease = 0.6

                             40% increase  = 1.4

Now to work out the overall percentage change, we just times all of the multipliers together, and convert it back to a percentage:

1.25 x 0.6 x 1.4 = 1.05    

So the overall multiplier is 1.05

And a multiplier of 1.05 = a <u>5% increase</u>.

That means that the percentage change is + 5%

_________________________________________

Answer:

The percentage change in shares from the start of 2013 to the end of 2015 is:

+ 5%

_______________________________________

Note: if you haven't been taught multipliers - then ask and I'll try my best to explain!

6 0
3 years ago
Divide and simplify 4/7÷(-11/2)​
lys-0071 [83]

Answer: -\frac{8}{77}

Step-by-step explanation:

\frac{\frac{4}{7} }{-\frac{11}{2} }

Multiply by the reciprocal in order to get rid of the fraction in the denominator.

\frac{\frac{4}{7} }{-\frac{11}{2} }*-\frac{2}{11}

\frac{4}{7}*-\frac{2}{11}

-\frac{8}{77}

4 0
3 years ago
Write the equation for the line tangent to the circle x2 + y2 = 29 at the point (2, 5).
oee [108]
X2 + y2 = 29

Center of the circle 
x=0 and y=0

Therefore the slope of the line perpendicular to the tangent line
(y2-y1) / (x2-x1)
(5-0) / (2-0)
5/2
 
 so the slope of the tangent 
 -2/5             

General equation for the line
y = mx + c
if the line satisfies with the point (2,5)
5 = 2m + c

m = -2/5

5 = 2 * (-2/5) + c
c = 5 + (4/5)
c = 29/5

Therefore the equation of the line
y = mx + c
y = (-2/5) m + 29/5 
3 0
3 years ago
Estimate to the nearest integer.<br> 21<br> O 3<br> O 4<br> O 5
Rudiy27

Answer:

5

Step-by-step explanation:

So the square root of 21 is 4.582...

If you round 4.582.. it is 5

Because you look at the first number behind the decimal (tenths place) if it is 4-0 you leave the number the same. If it is 5-9 you increase the number by 1.

Hope this helps ya!!

4 0
3 years ago
A bag contains blue marbles and red marbles, 107 in total. The number of blue marbles is 7 more than 4 times the number of red m
Ratling [72]

Answer: red is 13.36

Blue is 93.625

Step-by-step explanation:

Let the red marbles be y

Based on the question,red is 4times which means 4y

And blue is 7times greater than red which means 7(4y)

Blue + red=107

7(4y) + 4y=107

28y+4y=107

32y=107

Divide both sides by 32

Y=3.34

Red =4y

Red= 4(3.34)

Red =13.36

Blue= 7(4y)

Blue=7(4×3.34)

Blue= 93.625

4 0
3 years ago
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