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2 years ago

Write the ratio of thirteen-year-olds to fourteen-year-olds in all three forms.

Mathematics

2 answers:

ludmilkaskok [199]2 years ago

6 0

Answer:

13:14

13 to 14

13/14

Step-by-step explanation:

there are three ways to write ratios, with a colon ( : ), with the word "to", and as a fraction 13/14. ❤

Korvikt [17]2 years ago

4 0

It would be 13:14 13to14 or 13/14

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A pendulum is set swinging. its first oscillation is through 30 and each succeeding oscillation is through 95% of the angle of t

Marat540 [252]

Answer-

After 76 swings the angle through which it swings less than 1°

Solution-

From the question,

Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.

So the angle of the second swing = $(30\times \frac{95}{100})^{\circ}$

Then the angle of third swing = $(30\times (\frac{95}{100})^2)^{\circ}$

So, this follows a Geometric Progression.

$(30,\ 30\cdot \frac{95}{100},\ 30\cdot (\frac{95}{100})^2............,0)$

a = The initial term = 30

r = Common ratio = $\frac{95}{100}$

As we have to find the number swings when the angle swept by the pendulum is less than 1°.

So we have the nth number is the series as 1, applying the formula

$T_n=ar^{n-1}$

Putting the values,

$\Rightarrow 1=30(\frac{95}{100})^{n-1}$

$\Rightarrow \frac{1}{30} =(\frac{95}{100})^{n-1}$

Taking logarithm of both sides,

$\Rightarrow \log \frac{1}{30} =\log (\frac{95}{100})^{n-1}$

$\Rightarrow \log \frac{1}{30} =(n-1)\log (\frac{95}{100})$

$\Rightarrow -1.5=(n-1)(-0.02)$

$\Rightarrow 1.5=(n-1)(0.02)$

$\Rightarrow n-1=\dfrac{1.5}{0.02}$

$\Rightarrow n-1=75$

$\Rightarrow n=76$

Therefore, after 76 swings the angle through which it swings less than 1°

8 0

3 years ago

a cookie recipe uses 6 cups of brown sugar for every 9 cups of white sugar. How many cups of brown sugar is needed if I use 24 c

Vlad1618 [11]

Answer:

Step-by-step explanation:

You can create a ratio from the provided recipe,

for every 6 cups of brown sugar you need 9 cups of white sugar so it would be 6:9

?:24

24/9=2.6

6x2.6=15.6

so for 24 cups of white sugar you would need about 16 cups of brown sugar.

8 0

3 years ago

Read 2 more answers

9. Answer all if can pls help me though math is hard

jonny [76]

A. 31.5

B. I’m not sure

C. 804.25

D. 104

7 0

3 years ago

There are 9 people going on a trip. They purchased coach tickets for $160, and first class tickets for $1180. The total budget t

Savatey [412]

Answer:

Step-by-step explanation:

Given

There are 9 people going on a trip

They purchased coach tickets =$160

first class tickets =$1180

total budget to spend = $4500

Let coach tickets=X

So first class tickets=9-x

160x+1180(9-x)=4500

160+10620-1180x=4500

160x-1180x=4500-10620

-1020x=-6120

X=6120/1020

X=6

So answer

Coach tickets=X=6

First class tickets=(9-x)

=3.

4 0

3 years ago

Three subtracted from twice a number equals 31 more than three times the number. find the number

Ksivusya [100]

Answer:

Step-by-step explanation:

Let the no. be x,

2x-3=3x+31

3x-2x= -3-31

x= -34

5 0

2 years ago