Rachel, Trey, and Juan sent a total of 85 text messages over their cell phones during the weekend. Rachel sent 10 more messages than Trey. Juan sent 3 times as many messages as Rachel. How many messages did they each send?

Answers

Answer 1

Answer:

Trey = 9 text messages

Rachel = 19 text messages

Juan = 57 text messages

Step-by-step explanation:

Let

Number of messages Trey sent = x

Number of messages Rachel sent = x + 10

Number of messages Juan sent = 3(x + 10)

Total messages = 85

Total = Trey + Rachel + Juan

85 = x + (x + 10) + 3(x + 10)

85 = x + x + 10 + 3x + 30

85 = 5x + 40

85 - 40 = 5x

45 = 5x

x = 45/5

x = 9

Number of messages Trey sent = x = 9 text messages

Number of messages Rachel sent = x + 10

= 9 + 10

= 19 text messages

Number of messages Juan sent = 3(x + 10)

= 3(9 + 10)

= 3(19)

= 57 text messages


Related Questions

2x +4>- 6 and 5x -12<3

Answers

Step-by-step explanation:

bzbzbsbbsbsbsbsbsbsbsbbsbs indian

I need help as soon as possible.

Answers

What’s the question

Find the slope of the line containing the points (-3, -6) and (4, 7).

Answers

Answer:

[tex]\frac{13}{7}[/tex]

Step-by-step explanation:

→ State the slope formula

( y₂ - y₁ ) ÷ ( x₂ - x₁ )

→ Substitute in the values

( 7 - -6 ) ÷ ( 4 - -3 )

→ Simplify

[tex]\frac{13}{7}[/tex]

Answer:

slope = [tex]\frac{13}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (4, 7)

m = [tex]\frac{7-(-6)}{4-(-3)}[/tex] = [tex]\frac{7+6}{4+3}[/tex] = [tex]\frac{13}{7}[/tex]

HE:LPPP

5 divided by -3

Answers

Answer:

-5/3

Step-by-step explanation:

5 ➗ -3

=> 5/-3

=> -5/3 or -1.66667

5 divided by -3=1.666666666666667

which of the following is equal to the rational expression when X ≠ 2 or 1?

Answers

Answer:

[tex]\frac{x+5}{x-2}[/tex]

Step-by-step explanation:

N tells about in a math question

Answers

Answer:

N means Natural Number in Maths

Step-by-step explanation:

N=natural,Z=integer,R=real number

It takes 5 minutes for 10 people to drink 25 pints of water. At this rate, how long would it take 15 people to drink 155 pints of water

Answers

Answer:

the time taken for the 15 people to drink 155 pints is 20.67 min.

Step-by-step explanation:

Given;

10 people took 5 mins to drink 25 pints of water

[tex]The \ rate\ for \ 10 \ people = \frac{25 \ pints }{5 \ mins} = 5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 1 \ person = \frac{5}{10} \ \frac{pints}{\min} = 0.5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 15 \ people = 15( 0.5 \ \frac{pints}{\min} )= 7.5 \ \frac{pints}{\min} \\\\Time \ taken \ for \ the \ 15 \ people \ to \ drink \ 155 \ pints = \frac{155 \ pints}{7.5 \ pints/ \min} \\\\= 20.67 \min[/tex]

Therefore, the time taken for the 15 people to drink 155 pints is 20.67 min.

A shopkeeper marked price of a radio is rupees 5000 is sold it allowing a discount of 10% and made a profit of rupees 500 find the cost price of the radio​

Answers

the cost price of radio is Rs.4450.

What is the mode for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
10
12
13
11​

Answers

Answer:

mateweew ans is 12

The mode is the value that appears most frequently in a data set.

and 12 repeats twice other once so anw is obv 12

Answer: 12

Step-by-step explanation:

Name the property shown by the statement 2a = a2

Answers

Distributive property

screenshot if you need more words. seems to be a well illustrated and compact explanation right there

What is the image point of ( – 7,-2) after a translation left 5 units and down 4
uits?
Submit Answer
PLS HELP ASAP

Answers

Answer:

(-12,-6)

Step-by-step explanation:

A translation 5 units to the left (x-5)

And 4 units down ( y-4)

(-7-5, -2-4)

(-12,-6)

A rectangle has an area of 104 cm2 and a width
that measures 8 cm. Find the perimeter of the
rectangle.

Answers

Answer:

42 cm

Step-by-step explanation:

104/8 = 13

13 + 13 + 8 + 8 = 42 cm

Another learning aid provides a​ step-by-step walk-through showing the solution process for a problem similar to the one you are working on. You would click Continue to advance through each step in the solution process to show intermediate calculations at key points. While you are attempting to solve the given​ exercise, this learning aid can be referenced multiple times and does not load a new version of the exercise when it is accessed. Choose the described learning aid below.

Answers

Choose the described learning aid below.

a. Animation

b. view an example

c. video

d. help me solve this

e. Textbook

The answer to this question is option b. View an example helps to give a step by step walk through showing the solution to a similar problem.

The learning aid that is referenced in this question is view an example because it is a learning aid that helps the learner to solve a problem just by looking at the solution of another problem.

The solution that is being viewed has to be quite similar with the problem. Such that the learner would be able to follow through with finding a solution to his problem by following the steps in the example.

here is a similar question https://brainly.com/question/24454973?referrer=searchResults

A bag of marbles contains 3 blue marbles, 2 green marbles and 5 red marbles. A marble is chosen at random. The probability that the marble selected is blue is:

Answers

Step-by-step explanation:

the probability will be  amount of green marbles over total amount of marbles

if there are 2 green marbles, and 10 total the probability is 2/10, or 20%

ZABC and ZDEF are complementary angles.
What is the measure of x?
А,
С X = [?]°
549
D
B
Х
>F

Answers

Answer:

x = 36

Step-by-step explanation:

Complementary angles add to 90 degrees

54+x = 90

x = 90-54

x = 36

Answer:

IF ABC and DEF are complementary then ABC + DEF = 90°

Therefore, DEF = 90° -ABC

Since DEF = 54° and DEF = x then

x = 90° -54°

x = 36°

Step-by-step explanation:

Which greatest digit should replace m so that the number 10m6415 is divisible by 11

Answers

The answer is to ur question is 8

Answer:

Step-by-step explanation:

Sum of digits of rank even - sum of digits of rank odd  must be a multiple of 11

(5+4+m+1)-(1+6+0)=11*k

10+m-7=11*k

3+m=11*k

m=8

Proof: 1086415/11=98765

Find tan 0 if sin 0 = 1/2
is in the second quadrant.

Answers

sin O = 1/2 = p/h

p=1, h = 2.

by pythagoras tgeorem,

b =

[tex] \sqrt{3} [/tex]

tan0= p/b

[tex]1 \div \sqrt{3} [/tex]

Write the sentence as an equation.

351 is 59 subtracted from m

Answers

Is means equal to.

59 subtracted from m would be m-59

Answer: 351 = m - 59

Find the area of the triangle with sides 40, 50, and 60.

a. 75 square units
b. 992.2 square units
c. 3000 square units
d. 114.6 square units

Answers

I think it’s B I don’t know that’s my guess

Ron Caruso works as an insurance agent
and receives a commission of 40% of the
first year's premium. Find Ron's
commission for selling a life insurance
policy with a first-year premium of
$1,050.

Answers

Answer: $420

Step-by-step explanation:

40% of 1st year commission

1st year commission is $1050

40% x 1050 = .40 x 1050 = 420

$420


What is the midpoint of PQ?

Answers

Answer:

I think it is (2,0)

Step-by-step explanation:

Because in it 2 lies in the mid of x either y

Answer: (2,0)

Explanation:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case:
((-4+8)/2, (6+(-6))/2)
= (2,0)

Hope this helps!

Which equation represents a line which is parallel to the line y=7/6x−6?
7y-6x= -14
6x + 7y = 56
7x + 6y = 18
7x - 6y = -48​

Answers

Answer:

6x+7y=56

Step-by-step explanation:

In order to have an equation that is parallel to another the slopes multiplied by one another must equal -1. In this case, the first slope is [tex]\frac{7}{6}[/tex] . So [tex]\frac{7}{6}[/tex]×what = -1

Normally you can just flip the numerator and denominator and add the opposite sign. So we can do that here. [tex]-\frac{6}{7} *\frac{7}{6} =-1[/tex]. So the equation should have [tex]-\frac{6}{7}[/tex].

But none of the answers obviously have that slope. If you try the second one, which looks different from the rest and will give you a negative x when you subtract it from both sides. Then you can divide by 7, you get [tex]y=-\frac{6}{7}x +8[/tex].

A cage holds two litter of rats. One litter comprises one female and five males. The other litter comprises seven females and two males. A random selection of two rats is done. Find the probability that the two rats are from the same litter.​

Answers

Answer:

The probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.

Step-by-step explanation:

Since a cage holds two litter of rats, and one litter comprises one female and five males, while the other litter comprises seven females and two males, and a random selection of two rats is done, to find the probability that the two rats are from the same litter the following calculation must be performed:

6/15 x 5/14 = 0.1428

9/15 x 8/14 = 0.3428

Therefore, the probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.

The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)?
A.
4x – 2y = –6
B.
y = 2x – 5
C.
y = 3x + 4
D.
2x + y = –1

Answers

Answer:

i think the answer is y = 3x + 4

Step-by-step explanation:

:)

HELP ME PLS I NEED TO GET THIS DONE TONIGHT AND IM STRESSING ITS PYTHAGOREAN THEOREM

Answers

Answer:

17.6 miles

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + 3^2 = c^2

49 + 9 = c^2

c^2 = 58

sqrt rt 58 = 7.6

Perimeter = 7 + 3 + 7.6

Perimeter = 17.6

Therefore, the perimeter is 17.6

what does it mean when x is a constant, in a maths equation

Answers

Answer: a constant is a fixed number in an expression. For example x+5=9. The constants are 5 and 9 since it’s a fixed number. Since it says x is a constant it means it can only be one answer.

The opposite angles of a parallelogram are (3x + 5)° and (61 – x)°. Find the measure of four angles.

Answers

Answer:

47°;47°;113°;113°

Step-by-step explanation:

3x+5=61-x

4x=56

X=14

jane is X years old. How old will she be in 2 year's time? How old will she be in 5 year's time?​

Answers

Answer:

Jane's age = X

In 2 years time = X + 2

In 5 years time = X + 5

Step-by-step explanation:

Answer from Gauth math

Answer:

Step-by-step explanation:

Jane is X years old means she is currently X age. So 2 years later she will be 2+X years old and 5 years later she will be 5+X years old

Find the value of x. Round
the nearest tenth.

Answers

Answer:

x = 13.5

Step-by-step explanation:

We need to use the law of sines

sin 27      sin 34

-------  = --------

11            x

Using cross products

x sin 27 = 11 sin 34

x = 11 sin 34/ sin 27

x=13.54901

To the nearest tenth

x = 13.5

HElp Please its Pre-Calculus Matrix

Answers

The determinant is C. -541.

Using a cofactor expansion along the first row:

[tex]\begin{vmatrix}-8&-4&-1\\1&7&-3\\8&9&9\end{vmatrix} = -8\begin{vmatrix}7&-3\\9&9\end{vmatrix} + 4\begin{vmatrix}1&-3\\8&9\end{vmatrix} - \begin{vmatrix}1&7\\8&9\end{vmatrix} \\\\= -8(7\times9-(-3)\times9) + 4(1\times9-(-3)\times8) - (1\times9-7\times8) \\\\ = -8(63+27) + 4(9+24) - (9-56)\\\\= \boxed{-541}[/tex]

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