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

Write a compound inequality for the graph shown below.
Use x for your variable.

Answers

Answer:

[tex]2 < \times \leqslant 6[/tex]

(2^5 x 3^6) / (2^3 x 3^4)

Answers

Answer:

36

Step-by-step explanation:

(2^5 x 3^6) = 23328

(2^3 x 3^4)= 648

(23328/648) = 36

Answer:

36 will be your answer

Step-by-step explanation:

Hope this helped! :)

[tex]\sqrt{(-81)x^{2} }[/tex]

Answers

Answer:

We conclude that:

[tex]\sqrt{\left(-81\right)x^2}=9ix[/tex]

Step-by-step explanation:

Given the radical expression

[tex]\sqrt{\left(-81\right)x^2}[/tex]

simplifying the expression

[tex]\sqrt{\left(-81\right)x^2}[/tex]

Remove parentheses:  (-a) = -a

[tex]\sqrt{\left(-81\right)x^2}=\sqrt{-81x^2}[/tex]

Apply radical rule:   [tex]\sqrt{-a}=\sqrt{-1}\sqrt{a},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                 [tex]=\sqrt{-1}\sqrt{81x^2}[/tex]

Apply imaginary number rule:  [tex]\sqrt{-1}=i[/tex]

                 [tex]=i\sqrt{81x^2}[/tex]

Apply radical rule:   [tex]\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]

                  [tex]=\sqrt{81}i\sqrt{x^2}[/tex]

                  [tex]=9i\sqrt{x^2}[/tex]

Apply radical rule:  [tex]\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                  [tex]=9ix[/tex]

Therefore, we conclude that:

[tex]\sqrt{\left(-81\right)x^2}=9ix[/tex]

π/4 equals how many degrees?


270


90


45


360

Answers

Answer:

your answer would be 45 :)

Step-by-step explanation:

I need help
The radius of a circle is 3 meters. What is the area of a sector bounded by a 180° arc?

Answers

14.12 meters squared

Um plz help me!!!!
I will give brainliest

Answers

Answer:

15, 30, 45

Hope this helps.

Answer:

15,30,45

Step-by-step explanation:

Hope this Helps!

:)

A water bottle has a capacity of 1.43 L. What is the bottle's capacity in millimeters? (1 L = 1,000 mL)
A 2,860 mL
B 1,430 mL
C 143 mL
D 14.3 mL

Answers

Answer:

B

Step-by-step explanation:

The answer would be B because you are multiplying 1.43 L by 1,000. And The answer would be 1,430 ml :))

Hope this helps :)) plz mark brainliest :))

Simplify the expression completely.3 m−3n5−4n4(−4m5n−4)

Answers

Answer:

16[tex]m^{5}[/tex] [tex]n^{5}[/tex]- 3[tex]n^{5}[/tex] + 16[tex]n^{4}[/tex] + m

Step-by-step explanation:

PEMDAS and the Distribution Proporty.

Answer:

16m 5n5 - 3n5 +16n4 +3m

Step-by-step explanation:

the number in bold is the exponents dont know how to put them up there

h+8g
g=5 and h=4
I am not very quick at these and I need an answer ASAP
please!!

Answers

Answer:

44

Step-by-step explanation:

4+8(5)

Multiply 8 by 5

4+40=44

Add 4 to the product (40) to get the final answer of 44

Remember PEMDAS


SOMEONE PLEASE HELP ME !

Answers

y=mx+b
m=20 (slope)
b=10 (y-int)
equation= y=20x+10

select all that are equal to 5³x 5⁻⁷

Answers

Answer:

The third and fifth are correct

The second one is NOT correct

answer : the second and third ones are correct.

explanation for the second one : they don’t accept negative exponent answers. by putting a “1” on top, it just means that you’re simplifying the problem and you’re just taking the 5^-4 and making it positive

explanation for the third one : it’s just the answer to 5^3•5^-7 but not simplified yet

Which two points on the number line are the same distance from 0?

Answers

Answer:

D. E and D

Ive learned this and im 100 percent sure its D

Answer:

its E and D

Step-by-step explanation:

they're both 5 away from 0

Swimming Pool On a certain hot summer's day, 236 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $525.00. How many children and how many adults swam at the public pool that day?

Answers

Answer:

Step-by-step explanation:

[tex]a+c=236\\ \\ a=236-c\\ \\ 1.5c+2.5a=525\\ \\ 1.5c+2.5(236-c)=525\\ \\ 1.5c-2.5c+590=525\\ \\ -c=-65\\ \\ c=65\\ \\ a=236-65\\ \\ a=171\\ \\ \text{So there were 171 adults and 65 children at the pool that day.}[/tex]

Help please. A store has a sale. Customers can buy one item at full price and take 50% off the cost of a second item with a lesser price. Nikia buys one item with a price of $80 and another item with a price of $120. With the sale, what percent discount does Nikia receive on her total purchase?

Answers

Answer:

Your answer

70% discount on total price

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

What is the volume of a cylinder with a radius of 4 yards and a height of 6 yards

Answers

Answer: 230. 58 m^3


Explanation: V=πr2h=π·3.662·5.49≈230.58431


Hope this is right

Answer:

301.59 yards

Step-by-step explanation:

At a restaurant, Julio's bill totals $37.60 (before tip). He leaves a 15% tip. Find the amount Julio left for tip.​

Answers

Answer:

$5.64 is left for tip.

Step-by-step explanation:

Given that,

The total bill of Julio = $37.60

He leaves a 15% tip.

We need to find the amount Julio left for the tip.​

The left amount can be calculated as follows :

[tex]L=15\%\ of\ 37.60\\\\=\dfrac{15}{100}\times 37.60\\\\=\$5.64[/tex]

So, Julio left $5.64 for tip.

8(a + 30)=80 a equals how much?

Answers

Answer:

a = -20

Step-by-step explanation:

In this question, you would solve for "a".

Solve:

8(a + 30)=80

Use the distributive property.

8a + 240 = 80

Subtract both sides by 240

8a = -160

Divide both sides by 8.

a = -20

Your final answer would be a = -20

Answer:

a=-20

Step-by-step explanation:

Multiply 8 by a and 30 which is 8a and 240

The equation looks like this:

8a+240=80

Subtract 240 on both sides:

8a+240-240=80-240

The equation looks like this now:

8a=-160

Divide by 8 on both sides:

8a/8=-160/8

The answer will be:

a=-20

Any consecutive sides of a parallelogram are parallel.

A. Always True
B. Sometimes True
C. Never true

Answers

It’s always true cuz a parallelogram is parallel

ANSWER:Any consecutive sides of a parallelogram are parallel?

A. Always True is your answer.

Really Need Help ! ASAP

Answers

Answer:

hope the above solution will help you

una fotografía se reduce a una escala de 1:3 y enseguida se reduce nuevamente con una escala de 1:4 ¿cuáles la reduccion total que sufre la fotografía original?​

Answers

Answer:

I don't speak that language

Simplify: 1 + 2 x (8(3 - 2)) + 7 *

Answers

Answer: 16x + 8

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

1 + 2 x (8(3 - 2)) + 7

1 + 2 x (24 - 16) + 7

1 + 2 x (8) + 7

1 + 16 + 7

17 + 7

24

What is the length of the hypotenuse of right ΔUVW shown?
Question 8 options:

A)

42

B)

41

C)



D)

99

Answers

Answer:

B - 41

Step-by-step explanation:

A squared + B squared = C squared

40 squared + 9 squared = X squared

the answer is 41

Step-by-step explanation:

Step-by-step explanation:

A squared + B squared = C squared

40 squared + 9 squared = X squared

Find the product (4x - 3y)3

Answers

Answer:

12x - 9y

Step-by-step explanation:

According to the distributive property:

3(4x - 3y) =

3*4x - 3*3y =

12x - 9y

Answer:

12x - 9y you can't subtract different variables so multiply by them both by the left over constant and get the expression of 12x - 9y

Step-by-step explanation:

a chef made 30 Donuts in 60 minutes. how long would it take him to make 90 Donuts?​

Answers

Answer:

180 minutes

Step-by-step explanation:

90×60/30= 180

-8x=-64

find the variable

Answers

X is equal to 8 because -64/-8

Answer:

x=8

Step-by-step explanation:

8x/8 =64/8

x=2 6/2 3

x=2 6-3

x=2 3

x=8

jon had 500 apples and he gets 111100 more apples. how many apples dose jon haver in all

Answers

Answer:

1111600                   lol

Step-by-step explanation:

To many apples
111600

Hewo do u know fractions because I am dying from it T-T

1/2+___=7/6

Help T-T

Answers

Answer:

1/2 + 4/6 = 7/6

Step-by-step explanation:

1/2 would be 3/6 so add 4/6 would be 7/6 uwu.

Hope this helps :)) Plz mark brainliest :))

Which is the slope of the line that passes through the points (1 -4) and (3,−1)?
Slope = 5/4
Slope = 2/3
Slope = -3/2
Slope = 4/5

Answers

Answer:

slope=-3/2

Step-by-step explanation:

slope between 2 points=change in Y÷change in X, so it means minus

-1--4=-3

3-1=2

so the answer is:

slope=-3/2

Answer:

huh/

Step-by-step explanation:

Which one is it? I got confused plz help

Answers

Answer:

Red: 2.035 x 10(4)

Step-by-step explanation:

Answer:

Red.

Step-by-step explanation:

Scientific notation consists of the ones place with a decimal right after it and a 10 to the something power next to it, therefore red is your answer.

what is the length of AC?

• 10
• 12
• 15
• 20

Answers

the answer is 12. sorry if i’m wrong
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