Solving a word problem with three unknowns using a linear...
Rachel, Trey, and Deshaun sent a total of 98 text messages during the weekend. Trey sent 4 times as many messages as Deshaun. Rachel sent 10 fewer
messages than Deshaun. How many messages did they each send?
Number of text messages Rachel sent:
221
Х
?

Answers

Answer 1

Answer:If Rachel texted 221 text messages, then Deshaun texted 231 text messages, and Trey texted 924 text messages.

Step-by-step explanation:

221+10=231, 321 times 4 equal 924


Related Questions

Help please I need answers for these questions

Answers

I think because the angles are corresponding/opposite to each other u equate them to 180°

Line f has a slope of −6/3, and line g has a slope of −8/4. What can be determined about distinct lines f and g a.The lines are parallel. b.Nothing can be determined about the lines from this information. c.The lines have proportional slopes. d.The lines will intersect.

Answers

Answer:

The lines are parallel.

Step-by-step explanation:

This is because they have the same slope.

-6/3 = -8/4

-2 = -2

-50 POINTS- please help

Answers

Answer:

-13

-10

Step-by-step explanation:

A x = B

To find X

A ^ -1 A  x = A ^ -1 B

x = A^ -1 B

x = -3/2  -5/2      2

     -1       -2         4

Across times down

-3/2 * 2 + -5/2 *4 = -13

-1 *2 -2 * 4 = -10

The matrix is

-13

-10

Answer:

[tex]\Large \boxed{\bold{D.} \ \left[\begin{array}{ccc}-13\\ -10\end{array}\right]}[/tex]

Step-by-step explanation:

[tex]AX=B[/tex]

To find [tex]X[/tex]

[tex]X=A^{-1} \cdot B[/tex]

[tex]\displaystyle \left[\begin{array}{ccc}-\frac{3}{2} \cdot 2 + - \frac{5}{2} \cdot 4\\ -1 \cdot 2 + -2 \cdot 4\end{array}\right][/tex]

[tex]\displaystyle \left[\begin{array}{ccc}-3 + - 10\\ -2 + -8\end{array}\right][/tex]

[tex]\displaystyle \left[\begin{array}{ccc}-13\\ -10\end{array}\right][/tex]

a wolf population of 850 wolves is increasing by 7% each year. Find the wolf population after 7 years

Answers

Answer:

1,267 wolves

Step-by-step explanation:

Initial population of wolf = 850 wolves

If the wolves increases by 7% each year, yearly increment will be 7% of 850

=  7/100 * 850

= 7*8.5

= 59.5 wolves.

This shows that the wolves increases by 59.5 each year.

After 7 years, increment will be equivalent  to 59.5 * 7 = 416.5

The wolf population after 7 years = Initial population + Increment after 7 years

= 850 + 416.5

= 1266.5

≈ 1267 wolves

Hence the population of the wolves after 7 years is approximately 1,267 wolves

which of the following best describes the bases of a cylinder? A. Congruent B. Polygons C. Parallel D. Discs (Check All That Apply)

Answers

Answer:

A. Congruent and D. Discs

Step-by-step explanation:

You won't see a cylinder that doesn't have congruent bases

Look at the shape of the bases and look at a disc compare their shape

We can describe the bases of a cylinder as congruent.

What is the volume of cylinder?

The volume of cylinder is given by -

V = πR²h

Given is to describe the bases of a cylinder.

The cylinders are uniform in cross - section. Therefore, the bases of the cylinder will have the same area. So, we can conclude that the given bases are congruent.

Therefore, we can describe the bases of a cylinder as congruent.

To solve more questions on cylinders, visit the link below-

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Help please!??!!?!?

Answers

9514 1404 393

Answer:

  a) CP = SP/1.1

  b) CP = $59.50

  c) GST = $5.95

Step-by-step explanation:

a) Divide by the coefficient of CP.

  SP = 1.1×CP

  CP = SP/1.1

__

b) Use the formula with the given value.

  CP = $65.45/1.1 = $59.50

__

c) You can do this two ways: subtract CP from SP, or multiply CP by 0.1.

  GST = SP -CP = $65.45 -59.50 = $5.95

  GST = CP×0.10 = $59.50 × 0.10 = $5.95

out of the 444 Fridays Rebecca has been driven to school, only 12/37 of the time did she ever choose to sit in the back seat. How many times did she sit in the front seat?

Answers

Answer:

300

Step-by-step explanation:

We need to find 12/37 of 444.

12/37 * 444 = 12/37 * 444/1 = (12 * 444)/(37 * 1) = 5328/37 = 144

She sat in the back seat 144 times out of 444.

444 - 144 = 300

She sat in the front seat 300 times.

I need help with this

Answers

Answer:

The fraction that represents the heart in the diagram shown is 7/3

Step-by-step explanation:

For this problem, we have to find the fraction expressed by the number line in the diagram shown.

First off, we know that the fraction will be between 2 and 3. Second, we know that each little dash between 2 and 3 represents 1/6.So, let's use this information to find the fraction.

Since the heart is two dashes away from 2, then this part of the fraction is 2/6 which can also be simplified to 1/3.

2 1/3

Since we can not have a mixed fraction, then we are going to turn this mixed number into an improper fraction. We do this by multiplying 2 with the denominator (which is 3) and adding the numerator (which is 1) to that product. Our denominator will stay the same in the final fraction.

2 1/3 = 7/3

So, the fraction represented by the heart is 7/3

Answer:

16/7

Step-by-step explanation:

There are 7 divisions between the numbers 2 and 3

So the denominator is 7

The heart is at the second mark

We are past the 2 mark so it is

2 2/7

Changing this from a mixed number to an improper fraction

(7*2+2) /7

16/7

Add :-

a+2b-3c, -3a+b+2cand 2a -3b+c​

Answers

Answer:

[tex]a + 2b -3 c + - 3a + b + 2c + 2a - 3b + c \\ = a - 3a + 2a + 2b + b - 3b - 3c + 2c + c \\ 0a + 0b + 0c \\ thank \: you[/tex]

a+2b-3c+(-3a+b+2c) +(2a-3b+c)

=a+2b-3c-3a+b+2c+2a-3b+c

=a-3a+2b+2b+b-3b-3c++2b+c

=0a+0b+0c

=0

Therefore, the addition of the expressions, a+2b-3c+(-3a+b+2c) +(2a-3b+c) is zero or 0.

To know more about algebraic expressions

https://brainly.com/question/28307605

Một cuộc điều tra tại một đô thị cho kết quả: 20% dân số dùng một loại sản phẩm A, 50% dân số
dùng một loại sản phẩm B, 15% dân số dùng cả hai loại A và B. Chọn ngẫu nhiên một người dân
trong đô thị đó, tìm xác suất để:
a. Người đó dùng sản phẩm A hoặc B.
b. Người đó không dùng sản phẩm A cũng không dùng sản phẩm B.
c. Người đó chỉ dùng đúng một trong hai loại sản phẩm A hoặc B.
d. Người đó chỉ dùng duy nhất sản phẩm A.

Answers

A, and make it more clearer.some people can’t read it

Help me with this question plz

Answers

9514 1404 393

Answer:

  17

Step-by-step explanation:

The points at the ends of the interval are ...

  (0, f(0)) = (0, 0)

  (7, f(7)) = (7, 119)

The average rate of change is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (119 -0)/(7 -0) = 119/7 = 17

Please help me I’ve been struggling

Answers

Answer:

147cm³

Step-by-step explanation:

Bottom rectangular prism: 3x4x6=72

Top rectangular prism: 5x5x3=75

72+75=147cm³

A farmer wishes to construct a fence around his rectangular field. The farmer has 150 feet of fence and
wishes to have the length be three more than the width. What is the width of the field. Make sure and
include feet in your answer.
Help

Answers

Answer:

The width is 36 feet

Step-by-step explanation:

If the width of the fence is x then its length is x+3.

The perimeter is 150 feet, so we have the equation:

2(x + x + 3) = 150

4x + 6 = 150

x = 144/4 = 36 feet

18.75 ft. Steps in pic below

What number should replace the question mark?

Answers

Answer:

1 Cruz it makes sense I hope this helps tho

i will rate you brainliest

Answers

A) S=262+301.3+346.5+...

The other three have terms that are decreasing in magnitude meaning the series will converge. The first one has terms that are increasing so the series will just continue to increase towards infinity and diverge.

Answer:

First option

Step-by-step explanation:

Common ratio is greater than 1

Prove for
mathematical
induction is the statement
is true
3+7+11+... (4n-1) = n(2n+1)

Answers

Answer:

Step-by-step explanation:

Hello, we want to prove that a proposition depending on n, that we can note P(n), is true for any n positive integer greater than 1. We need to follow several steps.

Step 1 - prove P(1)

For n = 1, n(2n+1)=1*3 =3 so we have

3 = 3, which is obviously true.

First step done!

Step 2 - for [tex]k\geq 1[/tex] we assume P(k) and we need to prove P(k+1)

We assume that 3+7+11+...+(4k-1)=k(2k+1)

so we can write that

3+7+11+...+(4k-1)+(4(k+1)-1)=k(2k+1)+(4k+4-1)=k(2k+1)+4k+3

[tex]=2k^2+k+4k+3\\\\=2k^2+5k+3[/tex]

and

(k+1)(2(k+1)+1)=(k+1)(2k+3)

[tex]=k(2k+3)+2k+3\\\\=2k^2+3k+2k+3\\\\=2k^3+5k+3[/tex]

These two expressions are the same so it means that P(k+1) is true, meaning that

3+7+11+...+(4k-1)+(4(k+1)-1)=(k+1)(2(k+1)+1)

Step 3 - The conclusion

Finally, we have just proved that

3+7+11+...+(4n-1)=n(2n+1) for any n positive integer > 0

Thank you

The given sum of arithmetic progression series 3+7+11+... (4n-1) = n(2n+1) is true.

What is Arithmetic progression?

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2.

The Sum of n terms of an AP is given by,

S= n/2[2a + (n-1)d ] where a is first term and d is common difference.

In our series 3+7+11+... (4n-1)

First term (a) = 3

Common difference (d) = 7 - 3 = 4

So the sum will be

S = n/2[2(3) + (n-1)4]

S = n[3 + 2(n - 1)]

S = n (2n + 1 ) = Right hand side.

Hence "The given sum of arithmetic progression series 3+7+11+... (4n-1) = n(2n+1) is true".

For more about Arithmetic progression,

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A?
B?
C?
D?
The box plots below represent the scores for games played by two high schools basketball teams over the last 5 seasons

Answers

Answer:

A. No conclusion can be drawn regarding the means because the box plots only show medians and quartiles.

Step-by-step explanation:

A box display tells represents a five-number summary that consists of the minimum value, lower quartile, median, upper quartile and maximum value. It could also tell you which data point is an outlier, if there are any.

Mean value for a data set that can hardly be ascertained or derived from a box plot display itself.

Therefore, the statements regarding the means of both data sets that is most likely true is: "A. No conclusion can be drawn regarding the means because the box plots only show medians and quartiles."

Evaluate b h for b = 12 and h = 2 . Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar. Do not type spaces in your answer.

Answers

Answer:63

Step-by-step explanation:

There are 25 peanut candies in a bowl. 4 red, 3 orange, 4 yellow, 5 green, 6 blue and 3 brown. what is the probability of randomly choosing a blue candy from the bowl?​

Answers

Answer:

6/25  or 24%

Step-by-step explanation:

Answer:

6/25, 0.24, or 24% chance

Step-by-step explanation:

Hi there!

We're given that:

⇒ There are 25 peanut candies in total

⇒ 6 out of the 25 candies are blue

To find the probability of randomly choosing a blue candy from the bowl, divide 6 by 25:

6/25 = 0.24 = 24%

I hope this helps!

If (x^2−1)/(x+1) = 3x + 5, then x + 3 =
(A) -3
(B) -2
(C) 0
(D) 2
(E) 4

Answers

The answer is C) 0
Because math

Can somebody please solve this problem for me!

Answers

Answer:

x = 200.674

Step-by-step explanation:

tan∅ = opposite/adjacent

Step 1: Find length of z

tan70° = 119/z

ztan70° = 119

z = 119/tan70°

z = 43.3125

Step 2: Find length z + x (denoted as y)

tan26° = 119/y

ytan26° = 119

y = 119/tan26°

y = 243.986

Step 3: Find x

y - z = x

243.986 - 43.3125 = x

x = 200.674

Jaclyn is one-fourth of a foot taller than John. John is 31/6 feet tall. How many feet tall is Jaclyn

Answers

Answer:

5 5/12

Step-by-step explanation:

31/6 feet + 1/4 foot

= 31/6 + 1/4

= [(31 * 4) / 6 * 4] + [(1 * 6) / 4 * 6]

=  [ 124/24 ] + [ 6/24 ]

= (124 + 6) / 24

= 130 / 24

= 5 10/24

= 5 5/12

Hope this helps!  Tell me if I'm wrong!

Mike took clothes to the cleaners three times last month.​ First, brought 4 shirts and of slacks and paid ​$11.45. Then brought ​7 shirts, 2 pairs of​ slacks, and 2 sports and paid ​$35.39. ​Finally, brought 5 shirts and 2 sports and paid ​$21.43 . How much was charged for each​ shirt, each pair of​ slacks, and each sports​ coat?

Answers

Complete Question:

Mike took clothes to the cleaners three times last month.​ First, brought 4 shirts and 1 pair of slacks and paid ​$11.45. Then brought ​7 shirts, 2 pairs of​ slacks, and 2 sports and paid ​$35.39. ​Finally, brought 5 shirts and 2 sports and paid ​$21.43 . How much was charged for each​ shirt, each pair of​ slacks, and each sports​ coat?

Answer:

The charges

For each Shirt = $1.49

For each pair of slacks = $5.49

For each sports coat = $6.99

Step-by-step explanation:

Let Shirt = a

Let pair of slacks = b

Let sports coat = c

First, brought 4 shirts and 1 pair of slacks and paid ​$11.45

= 4a + b = 11.45 ..........Equation 1

b = 11.45 - 4a

Then brought ​7 shirts, 2 pairs of​ slacks, and 2 sports and paid ​$35.39

= 7a + 2b + 2c = 35.39.........Equation 2

5 shirts and 2 sports and paid ​$21.43

5a + 2c = 21.43............Equation 3

Hence:

4a + b = 11.45 ..........Equation 1

7a + 2b + 2c = 35.39.........Equation 2

Using elimination method

Multiply Equation 2 by the coefficient of b = 1 in Equation 1

Multiply Equation 1 by the coefficient of b = 2 in Equation 2

8a + 2b = 22.9 .......Equation 4

7a + 2b + 2c = 35.39.........Equation 2

Subtracting Equation 2 from Equation 4

= a - 2c = -12.49 ........Equation 5

a = -12.49 + 2c

Subtituting -12.49 + 2c for a in Equation 3

5a + 2c = 21.43............Equation 3

5(-12.49 + 2c) + 2c = 21.43

= -62.45 + 10c + 2c = 21.43

Collecting like terms

10c + 2c = 21.43 + 62.45

12c = 83.88

c = 83.88/12

c = 6.99

5a + 2c = 21.43............Equation 3

Substituting 6.99 for c in Equation 3

5a + 2(6.99) = 21.43

5a + 13.98 = 21.43

5a = 21.43 - 13.98

5a = 7.45

a = 7.45/5

a = 1.49

4a + b = 11.45 ..........Equation 1

Substituting 1.49 for a in Equation 1

4(1.49) + b = 11.45

b = 11.45 - 4(1.49)

b = 11.45 - 5.96

b = 5.49

Therefore, since the charges

For each shirt = a

The charges for each Shirt = $1.49

For each pair of slacks = b

The charges for each pair of slacks = $5.49

For each sports coat = c

The charges for each sports coat = $6.99

3C - 2/7 -5c-8/4=1/14​

Answers

This is my answer for high school students

A woman bought some large frames for ​$17 each and some small frames for ​$6 each at a closeout sale. If she bought 18 frames for ​$141​, find how many of each type she bought. She bought ____ large frames.

Answers

Answer:

3 large frames

Step-by-step explanation:

Let the large frames she bought be x in number and small frames be y in number.

ATQ, 17x+6y=141 and x+y=18. Solving it, we will get x=3 and y=15. So she bought 3 large frames

How do you pronounce f(x)

Answers

Answer:

f of x

Or

f-function of x

Answer:

f(x) is pronounced in mathematics as if one were saying "f of x"

Which of the following statements are true? Select all that apply.
If the equation were graphed, it would be a horizontal line.
Both functions have the same slope.
The origin is the y-intercept for the function expressed in the table.
The linear equation does not have a y-intercept.
The table and the graph express an equivalent function.

Answers

Answer:

Both functions have the same slope.The origin is the y-intercept for the function expressed in the table.The table and the graph express an equivalent function.

Step-by-step explanation:

Both functions have the same slope

The slope is m in the equation; y =mx+c which is the formula for a straight line.

m = change in Y/change in x

Using 2 points: (1,3/4) and ( 4,3) from the table;

= (3 - 3/4) / ( 4 - 1)

= 2.25/3

= 0.75 which is 3/4 which is the same as the slope of the function in the equation.

The origin is the y-intercept for the function expressed in the table.

Slope of function in table is known to be 0.75. Find c to complete equation.

3 = 0.75 ( 4) + c

3 = 3 + c

c = 0

c is the y-intercept. The origin of a line is 0 so if c is 0 then the origin is the y intercept.

The table and the graph express an equivalent function.

The function for the table as calculated is;

y = 0.75x + 0

y = 0.75x

This is the same as the function for the equation for the graph which is y = 3/4x.

Answer:Both functions have the same slope.

The origin is the y-intercept for the function expressed in the table.

The table and the graph express an equivalent function.

Step-by-step explanation:

Compare the linear functions expressed below by data in a table and by an equation.

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative four-thirds, 1, 4. Column 2 is labeled y with entries negative StartFraction 9 Over 2 EndFraction, negative 1, three-fourths, 3. y = three-fourths x.

Which of the following statements are true?  Select all that apply.

If the equation were graphed, it would be a horizontal line.

Both functions have the same slope.

The origin is the y-intercept for the function expressed in the table.

The linear equation does not have a y-intercept.

The table and the graph express an equivalent function.


Simplify.
[(63 = 18)2 – 8] * 5
136
O 680
0-39
-35

Answers

Answer:

Bro resend you question I think it is not written correct. Hope you understand me

At an airport, 76% of recent flights have arrived on time. A sample of 11 flights is studied. Find the probability that no more than 4 of them were on time.

Answers

Answer:

The probability is  [tex]P( X \le 4 ) = 0.0054[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage that are on time is  p =  0.76

   The  sample size is n =  11

   

Generally the percentage that are not on time is

     [tex]q = 1- p[/tex]

     [tex]q = 1- 0.76[/tex]

     [tex]q = 0.24[/tex]

The  probability that no more than 4 of them were on time is mathematically represented as

        [tex]P( X \le 4 ) = P(1 ) + P(2) + P(3) + P(4)[/tex]

=>     [tex]P( X \le 4 ) = \left n } \atop {}} \right.C_1 p^{1} q^{n- 1} + \left n } \atop {}} \right.C_2p^{2} q^{n- 2} + \left n } \atop {}} \right.C_3 p^{3} q^{n- 3} + \left n } \atop {}} \right.C_4 p^{4} q^{n- 4}[/tex]

[tex]P( X \le 4 ) = \left 11 } \atop {}} \right.C_1 p^{1} q^{11- 1} + \left 11 } \atop {}} \right.C_2p^{2} q^{11- 2} + \left 11 } \atop {}} \right.C_3 p^{3} q^{11- 3} + \left 11 } \atop {}} \right.C_4 p^{4} q^{11- 4}[/tex]

[tex]P( X \le 4 ) = \left 11 } \atop {}} \right.C_1 p^{1} q^{10} + \left 11 } \atop {}} \right.C_2p^{2} q^{9} + \left 11 } \atop {}} \right.C_3 p^{3} q^{8} + \left 11 } \atop {}} \right.C_4 p^{4} q^{7}[/tex]

[tex]= \frac{11! }{ 10! 1!} (0.76)^{1} (0.24)^{10} + \frac{11!}{9! 2!} (0.76)^2 (0.24)^{9} + \frac{11!}{8! 3!} (0.76)^{3} (0.24)^{8} + \frac{11!}{7!4!} (0.76)^{4} (0.24)^{7}[/tex]

[tex]P( X \le 4 ) = 0.0054[/tex]

The perimeter of a triangle is 93 centimeters. If two sides are equally long and the third side is 9 centimeters longer than the​ others, find the lengths of the three sides.The length of each of the two equally long sides is ____ ▼ square centimeters centimeters and the length of the longer side is ____ ▼ square centimeters. centimeters.

Answers

Answer:

28 & 37 cm

Step-by-step explanation:

Perimeter(P)=9 cm

Let the equal sides(a) be x cm, then third side(b)=(x+9)cm

We have,

P=Sum of all sides

93=a+a+b

or,93=2a+(x+9)

or,93=2x+x+9

or,93-9=3x

or,84/3=x

therefore, x=28

Now,

Length of equal sides=x=28cm

Therefore, The length of each of the two equally long sides is 28 cm

The length of the longer side=(x+9)=28+9=37cm

Answer:

the other person is correct

Step-by-step explanation:

i put in the answers and i passed

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