1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kisachek [45]
2 years ago
14

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?
Mathematics
1 answer:
Alexxx [7]2 years ago
7 0

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

You might be interested in
Jamie is a salesperson in a shoe store and earns $95 per week, plus 20% of her weekly sales. If Jamie makes $475 in one week, wh
Dovator [93]
475 - 95 = 380 = 20% of sales
20% = 1/5
380 × 5 = $1900 (the answer)
Hope this helps!
4 0
3 years ago
Ten times the sum of half a number and 6 is 8
KATRIN_1 [288]

Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it.  We can call it anything.  I'd like to call it ' G '.

The number we're looking for is ' G '.

Half of it is  1/2 G

The sum of that and 6 is          1/2 G + 6

Ten times that is              10 (1/2 G + 6)

The question says that's 8.
                                        So       10 (1/2 G + 6) = 8

Divide each side by  10 :                1/2 G + 6  =  0.8

Subtract  6  from each side:            1/2 G  =  - 5.2

Multiply each side by  2 :                        G  =  - 10.4

That seems like a weird answer.  We should check it.

The number:                                         -10.4
Half the number:                                   - 5.2
The sum of half the number and 6:      -5.2 + 6 = +0.8
Ten times that sum:                                                  8

Yep !  By golly, sho nuff, dV-dT and E to the X !  
Everything checks out, and the mystery number is      - 10.4

5 0
3 years ago
there is a line includes the point (0,4) and has a slope of 7 what is its equation in slope-intercept form
Oliga [24]

Answer:

y=7x+4

Step-by-step explanation:

slope- intercept form is y=mx+c

m=7

so y=7x+c

substitute (0,4) into y=7x+c

so 4=(7x0)+c

c=4

so y=7x+4

3 0
3 years ago
Solve. u+6 = 18<br> a. 3<br> b. 12<br> c. 24<br> d. 108
Gekata [30.6K]
u+6=18\\&#10;u=12
4 0
3 years ago
−6t−7=17 I can't figure out what t is?
Tanya [424]

Answer: t= -4

Step-by-step explanation:

-6t = 24

t = -4

4 0
3 years ago
Read 2 more answers
Other questions:
  • If one half of an integer is added to one fifth of the next consecutive integer, the sum is 10. Find the integers.
    6·2 answers
  • A students work to simplify a radical is shown below. Select the statemmebt which best applies to rhe sample mathematical work
    5·1 answer
  • A sequence of numbers consists of natural numbers that are
    12·1 answer
  • How many 4-digit palindromes contain both the digits 1 and 2
    11·1 answer
  • IM LITERALLY ALMOST DONE CAN SOMEONE PLS TELL ME WHAT THE SURFACE AREA FORMULA IS FOR THIS FIGURE I'VE MISSED THIS TIME AND TIME
    14·1 answer
  • Angle 0 is in the second quadrant, and sin 0=3/5
    15·1 answer
  • Can someone help me? I can barely think. " write two polynomials whose difference is 6x+3".
    15·1 answer
  • The distance between Joe’s house and school is 9.25 miles, and Joe goes to school 4 days a week. Estimate the total number of mi
    5·1 answer
  • If the area of a park is exactly halfway between 2.4 and 2.5 acres, what I think area of the park
    14·2 answers
  • Is this triangle a SSS, SAS, ASA, AAS, or HL?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!