Question 7
Maya, Tom, and Greg sent a total of 153 text messages over their cell phones during the weekend, Greg sent 9 fewer messages than Maya,
Tom sent 4 times as many messages as Greg, How many messages did they each send?

Answers

Answer 1

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The messages sent by them are ~

Maya = 33 messages

Greg = 24 messages

Tom = 96 messages

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let the number of messages sent by Maya be x,

messages sent by Greg = x - 9

messages sent by Tom = 4(x - 9)

and, total number of messages sent by them all together is equal to ~ 153

that is ~

[tex]x + x - 9 + 4(x - 9) = 153[/tex]

[tex]2x - 9 + 4x - 36 = 153[/tex]

[tex]6x - 45 = 153[/tex]

[tex]6x = 153 + 45[/tex]

[tex]6x = 198[/tex]

[tex]x = 198 \div 6[/tex]

[tex]x = 3 3[/tex]

Hence, the messages sent by them are ~

Maya = x = 33

Greg = x - 9 = 33 - 9 = 24

Tom = 4(x - 9) = 4 × 24 = 96
Answer 2

Let Maya send m

Greg send m-9

Tom sent 4(m-9)

ATQ

m+m-9+4(m-9)=1532m-9+4m-36=1536m-45=1536m=153+456m=198m=33

Greg=33-9=24

Tom=4(24)=96


Related Questions

What is the value of k?

2k+9=7−3k


k=−2

k=−0.4

k = 2

k = 3.2

Answers

Answer:

the is k=-0.4

Step-by-step explanation:

sorry if I did it wrong

Answer:

[tex]k = -\frac{2}{5}[/tex]

I can't see the answer choices. Sorry, if I'm wrong.

Henry draws triangle FGH. Then, he translates that triangle to create triangle F'G'H'. The distance from F to F' is 4 centimeters. What is the length of sides GG'? a. 2 cm b. 3 cm c. 4 cm d. 6 cm​

Answers

The length of sides GG' when the distance from FF' is 4 cm is also 4 cm.

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

When you perform translations, you slide a figure left or right, up or down. This means that, in the coordinate plane, the coordinates for the vertices of the figure will change.

It is given that Henry translates the ΔFGH to create ΔF'G'H'.

FF' = 4cm.

Translation is a rigid transformation. In translation, every point of the object must be moved by same distance and in the same direction.

In other words the distance between corresponding points are same.

GG' =?

Since G and G' are corresponding points, so

GG' = FF'

GG' = 4 cm

The length of GG' is 4 centimeters.

Hence, When the distance from FF' is 4 cm, the length of sides GG' is similarly 4 cm. so option C is the correct answer.

To learn more about Translation

https://brainly.com/question/12861087

#SPJ1

10 ft
8 ft
I
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate .
A = [? ] ft?
=

Answers

10 x 8 = 80ft for the rectangle
To work out the area of the semi circle you do pi (3.14) x the radius squared, the radius is half the diameter.
3.14 x 4 squared
3.14 x16 = 50.24ftsqaured for the whole circle so you divide it by 2 which is 25.12ft squared.
And then finally you add 25.12 and 80 so your answer is 105.12 ft squared



Please someone help me! I need someone to be quick ASAP!

Answers

Answer:

Whats? explication?? khe??

Answer:

Step-by-step explanation:

Jina,tony, and Henry have a total cost of $70 in their wallets. Tony has 2 times what Henry has. Henry has $10 more than Jina. How much do they have in their wallets?

Answers

Answer:

Jina has $10,

Tony has $40,

and Henry has $20

Step-by-step explanation:

So if we use a little bit of algebra, let's say

Jina's amount = a.

Henry has $10 more than Jina, so that would make Henry's amount: a + 10. Tony has two times more dollars than Henry, so multiply Henry's amount

(a + 10) by 2, and you get: 2(a + 10).

Here's to make things easier on the eye for you:

Jina's amount = a

Henry's amount = (a + 10)

Tony's amount : 2(a + 10)

Next, form an equation by adding each of the three's amounts together:

Jina's amount + Henry's amount + Tony's amount

= a + (a + 10) + 2(a + 10)

= a + a + 10 + 2a + 20

(add the a's together and the numbers together. Then, put the total amount, $70, on the other side of the equation)

4a + 30 = 70

(subtract 30 from both sides of the equation: 4a + 30 - 30 = 70 - 30)

= 4a = 40

(and now, simplify by dividing by 4)

a = 10

Substitute 10 for a:

Jina: a = $10

Henry = (a + 10) = (10 + 10) = $20

Tony = 2(a + 10) = 2(10 + 10) = 2(20) = $40

Add them all up if you want to check if its correct:

$10 + $20 + $40 = 70$ ✔

Sorry if this explanation was a bit long, I hope you understand ^^.

Mike is baking lemon cupcakes and banana cupcakes for his Math class. He conducted a survey to
find the number of students who prefer each type. A total of 10 students preferred lemon cupcakes
and that represents 30% of her class. How many students preferred banana cupcakes?

Answers

Answer:23

Step-by-step explanation:10 people make up 30 percent so we have 33 people . 33 - 10 = 23

Need help pleaseee …

Answers

Answer:

2.5

Step-by-step explanation:

By Pythagoras theorem,

Hypotenuse = √( 4^2 + 3^2 )

                     = √( 16 + 9 )

                     = √25

Hypotenuse = 5

4 / 2 = 5 / x

2 = 5 / x

x = 5 / 2

x = 2.5

HELP HURRY SUBTRACTION

Answers

Answer:

408, 250, and 4055 hope this helps

hi po pahelp ito pls pls pls pls pls pls pls​

Answers

conversion of temperature

buying groceries

checking weight

measuring length

When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

What is 317.466 ounces or 19.8 pounds

1kg in household measurement is equal to 35.274 ounces.

So, 35.274*9= 317.466 ounces

317.466/16= 19.8 pounds

Please allow me to know this helped with brainly.

Thank you - Miss Hawaii

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

A scuba diver is descending at an average rate of 39.8 feet per minute.

What value represents the scuba diver's elevation relative to sea level after 2.9 minutes?

Enter your answer in the box.

ft

Plzzzz help I will give u brainly

Answers

Answer: 115.42 ft

Step-by-step explanation:

(a + 5)(a – 1) is a^2 +​

Answers

Answer:

a^2+4a-5

Step-by-step explanation:

This is the expanded form

What is the answer??? I need help fast pls

Answers

Answer:

x = 9

Step-by-step explanation:

Vertical angles are congruent ( equal to each other )

So if ∠A and ∠B are vertical angles than they are congruent ( so ∠A = ∠B )

If ∠A = 2x + 1 and ∠B = x + 10

Then 2x + 1 must equal x + 10

( note that we've just created an equation that we can use to solve for x )

We now solve for x using the equation we just created

2x + 1 = x + 10

Subtract x from both sides

x + 1 = 10

subtract 1 from both sides

x = 9

Fill in the blanks below, pelase.

Answers

Question: Find the slope of the line passing through the points ( 4, 5 ) and ( 4, –7 ).Find the slope of the line passing through the points ( –5, 5 ) and ( 4, 5 ).

Answer:.•. The slope is undefined where the rise is -2 and has no run..•. The slope is 0 where it has no rise and the run is 9.

This question in algebraic expression and number form : the difference between 20 and x

Answers

Answer: Let the numbers be x and y.

x+y = 20 …(1)

x-y = 10 …(2)

Add (1) and (2)

2x = 30, or x = 15, and so y = 5.

The product of the two numbers = xy = 15*5 = 75.

Step-by-step explanation:

Simplify 10/16 to the lowest terms and find an equivalent fraction that has a denominator of 32.

Answers

Answer:

5/8,  20/32

Step-by-step explanation:

Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8

To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32

Answer:

5/8; 20/32

Step-by-step explanation:

10/16 = (5 · 2)/(8 · 2) = 5/8 lowest term

 equivalent fraction  5/8 = ?/32  means 32÷ 8 = 4 × 5 =20

5/8 = 20/32

If using 10/16 = ?/32     means 32 ÷ 16 = 2 × 10 = 20

Again 10/16 = 20/32

The ratio of the side length of square A to the length of Square B is 4:9 The side length of square A is 12 yards. What is the perimeter of Square B

Answers

Step-by-step explanation:

side A / side B = 4/9

side A = 12 yards

=>

12 / side B = 4/9

12 = side B × 4/9

9×12 = side B × 4

side B = 9×12/4 = 9×3 = 27 yards

perimeter of B is 4×side B = 4×27 = 108 yards

Write the place value of underlined digit in 8.745

Answers

Answer:

thousandths I'm pretty sure

Find the length of the shorter leg of a right triangle if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.

Answers

Step-by-step explanation:

of a right triangle if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.

Two angles in a triangle are have the same measurement. The third angle is 12 degrees less than
the first angle. What are the measurements of angle 1, 2 and 3? (hint: you will need to know
how many degrees are in an triangle)

Answers

There are 180 degrees in a triangle and if two of them are the same we can call them both a:

a + a + b = 180
2a + b = 180

Next, b is 12 degrees less than a so:
a - 12 = b

2a + a - 12 = 180
3a - 12 = 180

Add 12 to both sides
3a = 192

Find a:
a = 192 / 3
a = 64

This means angle 1 and angle 2 are equal to 64 degrees and angle 3 is 52 degrees

To check:
64 + 64 + 52 = 180 degrees

A maintenance warranty for solar heaters cost $50 a month plus a one time $15 processing fee. Complete the table to determine the total cost for different number of months.

Answers

Answer:

50+15=65

Step-by-step explanation:

I know because it says total

For each team, find the unit rate games per loss.

Answers

Answer:

Ой ну не знаю очень сложный вопрос

6. Three cards are drawn from an ordinary deck and not replaced. What is the
probability of getting 3 spades?

Answers

We want to find the probability of randomly drawing 3 spades from a standard deck.

The probability of getting 3 spades is 0.0129

Let's see how to get that probability.

A standard deck has 52 cards, 13 of them are spades.

The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.

So for the first spade card, the probability is:

p = 13/52

For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:

q = 12/51

For the final card, there will be 11 spade cards and 50 cards in total, but we will have:

k = 11/50

The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:

P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129

The probability of getting 3 spades is 0.0129

If you want to learn more, you can read:

https://brainly.com/question/1349408

how would I write 6 less than a number


A.6-X
B.6X
C.X-6
D.X/6​

Answers

Answer:

C) X-6 , In subtracting the first number is greater than the second.

Hope it's help.

solve for completing the square x^2-12x+11=0

Answers

Answer:

x = 6 ± 5

Step-by-step explanation:

x² - 12x + 11 =0

x² - 12x = -11          Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)

x² - 12x +36 = -11 + 36                      1/2(-12)² = 36

(x - 6)(x - 6) = 25

(x - 6)² = 25

[tex]\sqrt{(x-6)}[/tex]² = [tex]\sqrt{25}[/tex]                             square root of both side of the equation

x - 6 =  ± 5                                          (5)² = 25 and (-5)² = 25

x = 6 ± 5

1.(154)10=(?)2
how to solve it help me! ​

Answers

Answer:

I am sorry i dont know but can you help me plz

Select the better deal in the pair. Then give the unit rate for the better deal.

$182/7g
or
$342/9g

Answers

Answer:182/7g

Step-by-step explanation:  182 divide by 7= 26

                                              342 divide by 9=38

and you want the lowest cost so a.


Simplify t^12/t^6
A. 2
B. 6
C. 6
D. 7-2

Answers

Answer:

t

12

/t

6

=t

12−6

=t

6

if this helps your welcome

Which graph represents the function f(x) = 1/3|x|?

Answers

Answer:

Whichever one looks like this

Step-by-step explanation:

Write the recurring decimal 0.05 as a fraction in its simplest form

Answers

Answer:

1/20

Step-by-step explanation:

Step 1: Write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly.

In this case, 0.05 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point. This will make it 5/100

Step 2: Then, this fraction can be simplified. 5/100 = 1/20

Thus, 0.05 as a fraction is written as 1/20

Answer:

Step-by-step explanation:

let the fraction be a

a*100.....=0.05*100

100a......=05.00

99a....=0.05

100a= 5.00

99a=     0.05

   a=    4.95/99

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