The total number of students who could attend a field trip is represented by the variable t. The number of students in Group A is less than the number in Group B. Group A has 6 students more than 1 4 the total number of students, while Group B has 3 less than the total number of students. Which inequality represents this situation?

Answers

Answer 1

Answer:

Let's define:

A = # of students in group A

B = # of students in group B

C = # of students in group C.

"The total number of students who could attend a field trip is represented by the variable t."

This can be written as:

A + B + C = t.

"The number of students in Group A is less than the number in Group B."

Here we have a strictly "less than", then this is written as:

A < B.

"Group A has 6 students more than 1/4 the total number of students"

A = t/4 + 6

"Group B has 3 less than the total number of students"

B = t - 3.

Then we have the equations:

A + B + C = t.

A = t/4 + 6

B = t - 3.

A < B.

We could replace the second and third equatio in the fourth one, to get:

t/4 + 6 < t - 3.

t/4 + 9 < t

9 < t - t/4

9 < t*(4/4 - 1/4)

9 < t*(3/4)

(4/3)*9 < t

12 < t.

Then we found an inequality that defines the minimum possible value of t,


Related Questions

7TH GRADE MATH ASAP. Liam is setting up folding chairs for a meeting. If he arranges the chairs in 8 rows of the same length, he has 11 chairs left over. If he arranges the chairs in 6 rows of that same length, he has 13 left over. How many chairs does Liam have?

Answers

Answer:

  19 chairs

Step-by-step explanation:

you can make two equations

1. y = 8x + 11

2. y = 6x + 13

Y is the number of total chairs and x is the length

so 8x + 11 = 6x + 13

2x = 2

x = 1

so the length is one

To find the total number of chairs just plug in one as x

y = 8 + 11

y = 6 + 13

y = 19

so 19 chairs is the number of chairs Liam has.

64°
70°
to
Find the value of x.

Answers

x=134°

Step-by-step explanation:

180-(64+70)=46

x=180-46

x=134°

Answer:

134*

Step-by-step explanation:

64 + 70 should equal x but to make sure:

180-64-70= 46 then 180 - 46= 134 so yes

The tables below represent different ratios of teaspoons of sugar to ounces of iced tea. Which table represents the greatest ratio of sugar-to-iced tea?

Answers

Answer:

Option (C)

Step-by-step explanation:

Option A.

Ratio of table spoons of sugar to ounces of iced tea = [tex]\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}[/tex]

From the table attached,

Ratio = [tex]\frac{6}{24}[/tex]

         = 1 : 4

Option B.

Ratio of sugar to ounces of iced tea = [tex]\frac{3}{18}[/tex]

                                                            = 1 : 6

Option C.

Ratio of sugar to ounces of iced tea = [tex]\frac{1}{3}[/tex]

                                                            = 1 : 3

Option D.

Ratio of sugar to ounces of iced tea = [tex]\frac{7}{24}[/tex]

                                                            = 7 : 24

                                                            ≈ 1 : 3.43

Since, highest ratio means biggest fraction (with least denominator).

From the given options, biggest fraction is [tex]\frac{1}{3}[/tex].

Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).

Is it possible for two numbers to have the same LCM and GCD? Explain. ​

Answers

Answer:  HCF and LCM of two numbers can be same only if two numbers are equal. Hence their difference will be zero

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it just is

A mountain climber begins climbing from a camp 2000 feet
above sea level. She climbs 150 feet higher every hour.
How many hours would she take to climb to 3650 feet,
above sea level?

Answers

The answer is 11 hours

Find the slope of the line that passes through (2, 13) and (6, 10).

Answers

-3/4 I think because rise/run

the picture contain  the answeres  

Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked How much farther did Molly walk than her brother and sister combined? 0.85 miles

Answers

Answer:

1.4

Step-by-step explanation:


Solve d = c/pi solve for pi

Answers

πd = c/π

Cross multiply

π²d = c

Divide both side by d

π²d/d = c/d

π² = c/d

Take the square root of both side

Result: π = √(c/d)

The value of pi = c/d

Since d = c/pi

To solve this question, we have to make pi the subject of the formula

d = c/pi

Cross multiply

(d × pi) = c

dpi = c

Divide both side by d

dpi/d = c/d

pi = c/d

In conclusion, pi = c/d

Read related link on:

https://brainly.com/question/24429956

PLEASE HELP! I'M STUCK! ps I only have on shot please only answer if u know the correct answer

Answers

Answer:

1/9

Step-by-step explanation:

Plug in the values of a, b, and c

1^3+3^2+5/1+3^2+5^3

1+9+5/1+9+125

15/135

simplify

1/9

Answer:

1/9

Step-by-step explanation:

i already answered this in a different thread. here it is again. Also congrats on being on the top five brainliest users of the day! (today is 11/30/2020)

Evaluate 1/6t+1/12 when t=1/2

Answers

Answer:

1/6

Step-by-step explanation:

You're welcome :)

Help please...........bad

Answers

Answer: 0,5, and -4 is the zeros

Step-by-step explanation:

As a part of your project studying tipping behavior, you ask people the question, How much should you tip a grocery bagger for carrying five bags to your car? The Grocery Bagger Surveys tab of this spreadsheet gives the responses to this question from 10 independent surveys, each with 50 respondents. The respondents were asked to round to the nearest quarter, since few people tip with pennies, nickels, and dimes. In the spreadsheet, you can calculate the mean, or average, of data using the Average function: Select the cell in which you want the mean to appear. Type =AVERAGE( in the formula bar. Select all the cells containing the values for which you want to find the average, and then press Enter. The average of the values in the cells will be calculated and displayed in the cell in which you entered the formula. Question 1 What is the sample mean of the responses in survey 1?

Answers

Don’t have idea for this work can of confused

Answer:

The sample mean for survey 1 is $1.69.

Step-by-step explanation:

I just did this on edmentum plato.

can some one tell me the answer ​

Answers

I am pretty sure it is the last one because the question wants a counter example.

What does x equal In this question?

Answers

Answer:

60

Step-by-step explanation:

A triangle is 180 degrees, add 87 and 33 and get 120. Subtract 120 from 180 and get 60 ;)

Answer:

In this equation x = 60

Step-by-step explanation:

I just added 33 and 87 and got 120.

A triangle has 180 degrees so i did 180 - 120 and got 60

Then i checked my work by adding 60 + 33 + 87 and got 180 \

That shows 60 is right

pls mark brainliest

How to do this question plz answer ​

Answers

Answer:

y = 36

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

This triangle is an isosceles triangle because the legs are equal. That means the base angles are congruent.

This means that the other angle is also equal to y.

That top angle is equal to 108 since the pentagon is a 'regular' shape.

We know that triangles equal up to 180.

Now we can make our equation.

2y + 108 = 180

Subtract 108 from both sides.

2y = 72

Now divide by 2

y = 36     This is the value of y.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

I really need help
Solve for x

Answers

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

1. Both are corresponding angles, hence they both are equal, so,

[tex]44x + 2 = 45x \\ = > 2 = 45x - 44x \\ = > 2 = x \\ = > x = 2[/tex]

Ans. C) 2

2. They both are in interior corressponding, hence their sum is equal to 180°, so,

[tex]10x + 6 + 104 = 180 \\ = > 10x + 110 = 180 \\ = > 10x = 180 - 110 \\ = > 10x = 70 \\ = > x = \frac{70}{10} \\ = > x = 7[/tex]

Ans. D) 7

3. They both are in interior corressponding, hence their sum is equal to 180°, so,

[tex]x + 75 + x + 125 = 180 \\ = > 2x + 200 = 180 \\ = > 2x = 180 - 200 \\ = > 2 x = - 20 \\ = > x = \frac{ - 20}{2} \\ = > x = - 10[/tex]

Ans. A) -10

4. Both are corresponding angles, hence they both are equal, so,

[tex]12x + 3 = 11x + 9 \\ = > 12x - 11x = 9 - 3 \\ = > x = 6[/tex]

Ans. A) 6

If it helps you, please don't forget to follow me.

✌✌✌

solve for x
-8+x=20

Answers

Answer:

x = 28

Step-by-step explanation:

give brainliest please

The answer is x=28.

I Will Give You A Brainliest. I Need This Before 11/12/20 4pm.

Answers

Answer:

C Subtraction property of equality

Step-by-step explanation:

You are subtracting 21 from both sides in step 3

Answer:

I would guess C

Step-by-step explanation:

I hope I'm correct, good luck.

HELPPPPPPP PLEASEEE WILL GIVE BRAINLY TO BEST ANSWERRRR andd please explain it like show your work

Answers

Answer: the second column is 12,  then 15, then 6

Step-by-step explanation:

that is some good chocolate milk

What is the solution to this equation
-4x + 2 = 26

Answers

Answer:

x=-6

Step-by-step explanation:

Move all terms that don't contain x to the right and solve using the elimination process.

5 A tourist, who is 192 cm tall, wants to estimate the

height of an office tower. He places a mirror on the ground 87.6 m from the

tower and moves away 6.4 m from the mirror to sight the top of the tower in

the mirror. How tall is the tower

Answers

Answer:

26.28 m

Step-by-step explanation:

the whole explanation along with solution has been found in attachment. Please go through it.

The sum of two numbers is 67 and the difference is 13 . What are the numbers? PLEASE HELP IM NEW TO THIS AND WANT MY GRADES TO COME UP!!!!!!!!

Answers

Answer:

The two numbers are 40, and 27.

Explanation:

Since there are only two numbers, with two different aspects, you can just make

a system, and solve.

A sum of two numbers adding up to 67 can be modeled by: x + y = 67.

A difference of those same two numbers being 13 can be modeled by: x – y = 13.

You can add the two equations together to eliminate the y value because the -y and y will cancel out:

x + y = 67.

+ x – y = 13.

And you get: 2x = 80.

Now to find x, just divide by 2 on both sides to cancel out the coefficient of 2 in 2x:

2x = 80

÷2 ÷2

x = 40.

So the first number is 40.

Since we know the first number, we can immediately find the other number by substituting it into the first equation.

x = 40 → x + y = 67

(40) + y = 67

-40. -40

Subtract from both sides to cancel the constant terms.

Then you will get that y or the second number is y = 27.

This is true because 40 + 27 = 67, and 40 - 27 = 13.

Problema 1: Para llegar a su colegio, Sergio Alejandro debe dar 560 pasos. ¿Cuántos minutos demorará en llegar, si da un par de pasos en la cuarta parte de medio minuto?

Answers

Answer:

i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer it!!!

Step-by-step explanation:

If correct will mark brainliest !!!!!

Answers

Answer:

equilateral triangle, isosceles triangle, scalene triangle

(Left to Right)

Step-by-step explanation:

Answer:

1-equilateral triangle 2- isosceles triangle 3- scalene triangle

Step-by-step explanation:

please help me!! it’s really easy i just forgot how to do it, ill mark as brainiest!!

Answers

Answer:

the answer is b

Step-by-step explanation:

just turn the 4/5 to 5/4

Answer:

D. This is impossible.

Step-by-step explanation:

4/5 x 7 or 0.8 x 7 = 5.6

None of the answers equal this same amount when replacing K x L. Plus, B and C are the same, since when multiplying, you can multiply in any order. A does not equal this amount either.

Hope this helps! :)

need help on this too ​

Answers

Answer:multiplication property of equality

Step-by-step explanation: I’m pretty sure this is correct if mot let me know

Answer:

I think it’s multiplicative identify but not fully sure

Step-by-step explanation:

in 1989 a postage stamp cost $.25. In 1999 a postage stamp cost $.33. Find the average rate of
change in postage in cents per year.
HELP ASAP

Answers

Answer:

0.33-0.25= 0.08

then 1999-1989= 10

lastly 0.008

Step-by-step explanation: so the  average rate of

change in postage in cents per year. is 0.8 of a cent. or 0.008 of a dollar.

I’m pretty sure it is 80 cents, because it changed by 8 cents in 10 years so you’re supposed to divide 8 by 10 and get .8 which is equivalent to 80 cents

When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step? plz help me

Answers

Answer:

the addition property of equality

Step-by-step explanation:E

The addition property of equality property is used to justify Carmen's first step. Then the correct option is C.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given below.

3x - 1 = - 1

Add 1 on both sides, then we have

3x - 1 + 1 = - 1 + 1

3x = 0

The addition property of equality property is used to justify Carmen's first step. Then the correct option is C.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2


In a school, the number of boys is 9 more than thrice the
number of girls. If the total roll of class is 60. What is the
total roll of girls.​

Answers

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

Let the number of girls = [tex] x [/tex]

Then, According to the question,

number of the boys = [tex] 9 + 3x [/tex]

Total students in class = 60, so

[tex]9 + 3x + x = 60 \\ = > 9 + 4x = 60 \\ = > 4x = 60 - 9 \\ = > 4x = 51 \\ = > x = 51 \div 4 \\ = > x = 12.75[/tex]

On rounding off

Then, number of girls = 13

Let the number of girls = x

Then, According to the question,

number of the boys = 9 + 3x9+3x

Total students in class = 60, so

\begin{gathered}9 + 3x + x = 60 \\ = > 9 + 4x = 60 \\ = > 4x = 60 - 9 \\ = > 4x = 51 \\ = > x = 51 \div 4 \\ = > x = 12.75\end{gathered}9+3x+x=60=>9+4x=60=>4x=60−9=>4x=51=>x=51÷4=>x=12.75

On rounding off

Then, number of girls = 13

Rewrite this number in standard notation​

Answers

Answer:

the first one

Step-by-step explanation

you add 13 zeros, right?

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