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
serious [3.7K]
3 years ago
10

Susan, Chang, and Henry sent a total of 127 text messages over their cell phones during the weekend. Chang sent 3 times as many

messages as Henry. Henry sent 7 fewer messages than Susan. How many messages did they each send?
Mathematics
1 answer:
Ymorist [56]3 years ago
4 0

Answer:

c = 72, h = 24, s = 31

Step-by-step explanation:

You can derive the following equations from the text:

s+c+h=127

c=3h

h=s-7

Solving them yields above answer.

You might be interested in
Jason's bank account balance was $300. He paid of his bills. Now, his account balance is -$50. Which equation can be used to fin
Katyanochek1 [597]

Answer: -50= 300- X

Step-by-step explanation:

Solving the equation:

Subtract 300 from both sides, which gives you -350= -X. Divide by -1 and get x=350. His bills were 350 dollars, which can be stated using the equation I put in the answer.

I hope this helped.

6 0
3 years ago
Will yall help me pleaseee! I need this turned in today donttake my points :'( this is Pythagorean Math !!!!
LenaWriter [7]

Answer:

1. 7.6 = c

2. 45 = c

Step-by-step explanation:

1. 3^2 + 7^2 = c^2

9 + 49 = c^2

58 = c^2

square root both sides = 7.6 = c

2. 27^2 + 36^2 = c^2

729 + 1296 = c^2

2025 = c^2

square root both sides

c = 45

5 0
2 years ago
Given the dilation rule DO,1/3 (x, y) → (one-third x, one-third y) and the image S'T'U'V', what are the coordinates of vertex V
Leokris [45]
Hdjjxnxnnzmmsmmsmmdmd
4 0
3 years ago
Read 3 more answers
What is the slope of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (9,3)(9,3)left par
Alecsey [184]

Answer:

Slope=5/7

Step-by-step explanation:

Slope=Δy/Δx=(3-(-2)) /(9-2)=5/7

3 0
3 years ago
First question, thanks. I believe there should be 3 answers
zysi [14]

Given: The following functions

A)cos^2\theta=sin^2\theta-1B)sin\theta=\frac{1}{csc\theta}\begin{gathered} C)sec\theta=\frac{1}{cot\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}

To Determine: The trigonometry identities given in the functions

Solution

Verify each of the given function

\begin{gathered} cos^2\theta=sin^2\theta-1 \\ Note\text{ that} \\ sin^2\theta+cos^2\theta=1 \\ cos^2\theta=1-sin^2\theta \\ Therefore \\ cos^2\theta sin^2\theta-1,NOT\text{ }IDENTITIES \end{gathered}

B

\begin{gathered} sin\theta=\frac{1}{csc\theta} \\ Note\text{ that} \\ csc\theta=\frac{1}{sin\theta} \\ sin\theta\times csc\theta=1 \\ sin\theta=\frac{1}{csc\theta} \\ Therefore \\ sin\theta=\frac{1}{csc\theta},is\text{ an identities} \end{gathered}

C

\begin{gathered} sec\theta=\frac{1}{cot\theta} \\ note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ tan\theta cot\theta=1 \\ tan\theta=\frac{1}{cot\theta} \\ Therefore, \\ sec\theta\ne\frac{1}{cot\theta},NOT\text{ IDENTITY} \end{gathered}

D

\begin{gathered} cot\theta=\frac{cos\theta}{sin\theta} \\ Note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ cot\theta=1\div tan\theta \\ tan\theta=\frac{sin\theta}{cos\theta} \\ So, \\ cot\theta=1\div\frac{sin\theta}{cos\theta} \\ cot\theta=1\times\frac{cos\theta}{sin\theta} \\ cot\theta=\frac{cos\theta}{sin\theta} \\ Therefore \\ cot\theta=\frac{cos\theta}{sin\theta},is\text{ an Identity} \end{gathered}

E

\begin{gathered} 1+cot^2\theta=csc^2\theta \\ csc^2\theta-cot^2\theta=1 \\ csc^2\theta=\frac{1}{sin^2\theta} \\ cot^2\theta=\frac{cos^2\theta}{sin^2\theta} \\ So, \\ \frac{1}{sin^2\theta}-\frac{cos^2\theta}{sin^2\theta} \\ \frac{1-cos^2\theta}{sin^2\theta} \\ Note, \\ cos^2\theta+sin^2\theta=1 \\ sin^2\theta=1-cos^2\theta \\ So, \\ \frac{1-cos^2\theta}{sin^2\theta}=\frac{sin^2\theta}{sin^2\theta}=1 \\ Therefore \\ 1+cot^2\theta=csc^2\theta,\text{ is an Identity} \end{gathered}

Hence, the following are identities

\begin{gathered} B)sin\theta=\frac{1}{csc\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}

The marked are the trigonometric identities

3 0
1 year ago
Other questions:
  • If a cheetah runs 70 mph on a 100 meter track, and a lion runs 50 mph, how long would the track have to be so they finish at the
    15·2 answers
  • PLEASE HELP AM SO DESPERATE FOR HELP
    7·1 answer
  • For a class experiment, Hilda places different colored marbles in a bag. She pulls a marble at random from the bag, records its
    5·1 answer
  • On a field trip when their bus breaks down 40 miles from the school. A teacher takes 5 of them back to school in her car, travel
    9·1 answer
  • you are buying fruit to make fruit baskets apples comes in bags of 20 oranges come in bags of 16 and bananas coming back to 32.
    7·1 answer
  • Which of the following functions is graphed below?
    11·1 answer
  • Please choose how many solutions there are to this system:
    12·1 answer
  • Factor completely 2r²-32​
    11·1 answer
  • Solve for X<br> 130, 50 and X
    15·2 answers
  • I am not sure how to solve this could anyone help???
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!