Mathematics High School

The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister is 4 to 9. Lucas sent 72 text messages. How many text messages did his sister send?

Answers

Answer 1

Answer:The number of text messages sent by his sister=162

Step-by-step explanation:

Step 1

The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister =4 to 9= 4:9

Number of text messages sent by Lucas =72

Total ratio is given as 4+ 9= 13

Step 2

such that the total number of messages sent by Lucas and by his sister will be calculated as

Ratio of text messages sent by Lucas/ total ratio x Total messages = Number of text messages sent by Lucas . Let X = Total number of messages

4/13 x X = 72

X=72 x 13 / 4 =234

Therefore, The number of text messages sent by his sister= ratio of text messages sent by his sister/ Total ratio x Total number of messages =

9/13 X 234= 162 messages

Related Questions

What is the length of CA on the number line?

Answers

Answer:-1

Step-by-step explanation:

-5 + 4 = -1

if there are 2 beats in each measure and the quarter notes get the beat ( equals 1), what time signature would you be in

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Answer:

2/4

Step-by-step explanation:

because if there are two in each measure that automatically makes it two beats out of 4.

A lion passes through the point (-8,-2) and has a slope of - 3/4. write an equation in slope intercept form for this line.

Answers

The equation would be y=-3/4x+8
Explanation
Since the line passes through the point (-8,-2) and the slope is -3/4 go down 3 points and to the right 4 points from the point (-8,-2) which would equal m. Your line should then pass through -8 on the y-axis which equals b.

Slope-intercept form
Y=mx+b
m= slope
b= y-intercept

Let me know if I was wrong. Hope I helped!

About 16 weeks ago, there were 59 mold spores found in a garden. After a few weeks of observation, it is determined that the number of mold spores in the garden is tripling every 8 weeks.

The number of mold spores, M, at any given time in the garden is equal to the product of the initial amount of spores, I, and 3 to the power of n, where n is the number of times the amount of mold spores has tripled.

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A.
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B.
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Answers

Answer:

D. 531

Step-by-step explanation:

is 16/24 equivalent to 2/3

is 10/16 equivalent to ⅔

Answers

Answer:

Yes for the first, no for the second

Max sells lemonade for $3 per cup and candy for $2 per bar. He earns $450 selling lemonade and candy. If Max sold 90 bars of candy, how many cups of lemonade did he sell?

Answers

found this sheet, hope it helps !!

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Answers

Answer:

intercept = (1,2)

Step-by-step explanation:

It would be ( 1 , 2 )

You would put the 1 in the first box and 2 in the second box. If you look closely there is a comma in between the boxes and parentheses outside of the boxes and comma.

Solve each expressions for u and match them with their appropriate value.

Answers

Answer:

u=1

u=2

u=3

u=4

Step-by-step explanation:

trust me i am in 8th grade

W(-1, 4), X(1, 2), Y-2, 1); k = 3

Answers

Answer:

what is the question

Step-by-step explanation:

get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is

at one school there are 81 girls. This corresponds to 45% of all students at the school. how many boys go to school?

Answers

81/.45 =180
180 - 81 = 99 boys

Can someone please answer this please

Answers

D) (3,3)
E) (-5,0)
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Paul was thinking of a number. Paul doubles it and adds 8.7 to get an answer of 23.4. Form an

Answers

Assuming it says form an equation it’s
2x +8.7 = 23.4
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Determine the radius or diameter. Dont forget units!

1. r= 4.6 in, d=

2. d= 8.2 cm, r=

3. d= 18.4 ft, r=

4. r= 21.65 yds, d=

Answers

Answer

Step-by-step explanation:

1. 9.2

2.4.1

3.9.2

4.43.3

Answer:

1. r= 4.6 in, d= 4.6×2=9.3in

2. d= 8.2 cm, r= 8.2/2=4.1cm

3. d= 18.4 ft, r= 18.4/2=9.2ft

4. r= 21.65 yds, d=21.65×2=43.3yds

I NEED THIS BY M TONIGHT!! HELP YA SIS OUT -w-
Maribeth saved $25 per week. She has saved a total of $600. For how many weeks has Maribeth been saving?

Answers

Answer:

24 weeks.

Step-by-step explanation:

25x = 600

divide both sides by 25 to get:

x = 24

Answer:

24 weeks

Step-by-step explanation:

use y = mx+b

y = total amount saved = $600

m = amount saved per week = $25

x = number of weeks saving = ?

b is not needed in this problem

600 = 25X

x = 600/25

x = 24

In a classroom of 30 students, in which 18 are girls and 12 are boys, what is the probability that two boys are selected without replacement by the teacher?

Answers

Answer:

about 4 out of 10

Step-by-step explanation:

Probabilities are used to determine the chances of events

The probability that two boys are selected is 0.1517

The given parameters are:

Boys = 12

Girls = 18

Total = 30

Given that the selection is without replacement, the probability that two boys are selected is:

p = 12/30 * 11/29

So, we have:

p = 0.1517

Hence, the probability that two boys are selected is 0.1517

Answers

Answer: 100

=============================================

Explanation:

5/75 = 1/15 means that 1 out of every 15 capacitors are damaged.

Multiplying this with the 1500 capacitors produced, we expect about (1/15)*1500 = 1500/15 = 100 capacitors are damaged in this batch.

---------

A slightly different approach:

Saying "1 out of every 15 capacitors are damaged" means we can form the ratio

1 damaged: 15 total

Then multiply both sides by 100 so that the "15 total" jumps up to "1500 total" and we get the following

1 damaged: 15 total

100*(1 damaged): 100*(15 total)

100 damaged: 1500 total

We get the same answer as before.

Keep in mind that it's not a guarantee that we'll find 100 damaged capacitors out of 1500 total, but rather this is an estimate based on the average. So instead of saying "there are 100 damaged capacitors" it would be better to say "there are expected to be about 100 damaged capacitors".

100 items can they expect if the company produces 1,500 capacitors.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

An electronics company finds that 5 out of 75 capacitors produced are damaged.

So, if there are 1500 capacitors then the damaged one are

= 5/ 75 x 1500

= 5 x 20

= 100 capacitors

Learn more about Unitary Method here:

https://brainly.com/question/20849236

#SPJ6

1. The diameter equals
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Answers

Answer:

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Step-by-step explanation:

the radius is half the diameter

plz help
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Answers

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation

Answer

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Step-by-step explanation:

Well for me its B. 54

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Hoey
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Goey
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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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10 feet

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Answers

Answer:

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Step-by-step explanation:

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Have a great day!

Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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