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xz_007 [3.2K]
3 years ago
5

5. Pete and Mike share £420 in the ratio 5:1. How much does Pete have.

Mathematics
1 answer:
sdas [7]3 years ago
7 0

Answer:

5+1=6

5/6 x420

5x70=350

Step-by-step explanation:

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The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
Oksana_A [137]

Answer:

<h2>A.</h2>

Step-by-step explanation:

The given table is

Days     Bees

  0        10,000

 10        7,500

 20       5,600

 30       4,200

 40       3,200

 50       2,400

Where x represents days and y represents bees.

The exponential function that models this problem must be like

y=a(1-r)^{x}, which represenst an exponential decary, because in this case, the number of bees decays.

We nned to use one points, to find the rate of decay. We know that a=10,000, because it starts with 10,000 bees.

Let's use the points (10, 7500)

y=a(1-r)^{x}\\7500=10000(1-r)^{10}

Solving for r, we have

\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75

Using logarithms, we have

ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97

Replacing all values in the model, we have

y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}

Therefore, the right answer is the first choice, that's the best approximation to this situation.

6 0
3 years ago
Read 2 more answers
Please answer quick! I've been stuck on this one a bit, I keep getting the wrong answer. (I'm not the best at math so maybe ya'l
g100num [7]

Answer:

x= 5.6

Step-by-step explanation:

Basically, if you do 7÷5 it would equal 1.4 so you would have to multiply 4x1.4 which would equal 5.6.

In conclusion 4/7 = 5.6/5

8 0
3 years ago
Read 2 more answers
The Baldwin family walked of a mile in of an hour. What is their unit rate in miles per hour? (5 points)
Lisa [10]
So walked 4/5 mile in a 4/9 h  so just use the rule of 3 simple 

60 minutes ------ 1 hour
x min. ----------- 4/9 h
--------------------------------
x = 4/9 *60/1 = 240/9 =  26,6 min. 

4/5 mile -------in 26,6 min.
1 mile --------   x min.
-----------------------------
x = 1*26,6/(4/5) = 26,6 /(0,8) = 33,25 min. 

1 mile ..... 33,25 min.
x miles ----- 60 min.
---------------------------
 x = 60/33,25 = 1,8 miles 

so their unit rate in miles per hour will be 1,8 miles / hour 

hope this will help you.
3 0
3 years ago
The volume of a CONE-shaped hole is 75pi ft cubed. If the hole is 9 feet deep, what is the radius of the hole?
Arturiano [62]

Answer:

The radius of hole is 5 feet

Step-by-step explanation:

Depth of conical hole = 9 feet

Let the radius of hole be r

Volume of conical hole =\frac{1}{3} \pi r^2 h

So, Volume of conical hole =\frac{1}{3} \pi \times r^2 \times 9

We are given that volume of a CONE-shaped hole is 75pi ft cubed.

So,\frac{1}{3} \pi \times r^2 \times 9=75 \pi

\frac{1}{3} \times r^2 \times 9=75

r^2=\frac{75 \times 3}{9}

r=\sqrt{\frac{75 \times 3}{9}}

r=5

Hence The radius of hole is 5 feet

6 0
3 years ago
at the school carnival tickets can be exchanged for prizes. Mason wants a comic book that cost a 176 tickets. He needs 8 times a
AVprozaik [17]
Mason has 22 tickets now. You can know this because you divide 176 by 8
3 0
3 years ago
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