Six friends ate in a restaurant together and split the total cost, c, equally. Each person paid less than $8. Which statements represent the scenario? Check all that apply.

The total cost of the food, c, can be represented by the inequality StartFraction c Over 6 EndFraction less-than 8.

The total cost of the food could be $48
.
The total cost of the food could be $36.

When graphed, the number line would be shaded to the left of the maximum value.

The total cost of the food must be greater than $60.

100 BRAINLY POINTS

Answers

Answer 1

Answer:

The total cost could be $36

Step-by-step explanation:

36/6 = 6

6 is less than 8

Answer 2

Answer:

A, C, and D are the correct answers.

Step-by-step explanation:

A) The total cost of the food, c, can be represented by the inequality c/6 < 8

C) The total cost of the food could be $36.

D) When graphed, the number line would be shaded to the left of the maximum value.

It's A because the 6 friends SPLIT the total cost which is c, and each person paid LESS than $8 dollars, not $8 and above. So it will look like, "total cost/6 people is less than 8" aka "c/6 < 8"

It's C because if each person paid less than $8 dollars, the total is anything under 48. (6 x 8 = 48, and 6 x 6 = 36, and 6 is less than 8.)

It's D because anything LESS than the max value could be the value to c/6. So anything to the left of 8, is less than 8, and anything to the right of 8, is greater than 8, and we want what is "< 8" less than 8 so it has to be to the left.


Related Questions

Satelite Corporation projects a year-end net income of $64,722. The net income represents 40% of its projected annual sales. What are Satelite's projected annual sales?

Answers

Answer:

The projected annual sales of Satelite Corporation are $ 161,805.

Step-by-step explanation:

Given that Satellite Corporation projects a year-end net income of $ 64,722, and that the net income represents 40% of its projected annual sales, to determine the amount of the projected annual sales of the company the following calculation must be performed:

40 = 64.722

100 = X

(100 x 64,722) / 40 = X

6,472,200 / 40 = X

161.805 = X

Therefore, the projected annual sales of Satelite Corporation are $ 161,805.

Please answer this geometry question

Answers

Answer:

~60•the length of PQ . , the length of QR is 90• Tell me if I'm wrong . sorry if I got it wrong .~

Please help o..!!!!!!!

Answers

Answer:

the third one

Step-by-step explanation:

this is algebra 2, right?

Answer:

x ≠ 17

Step-by-step explanation:

X can be any number besides 17. If it was 17 you would be dividing by 0 which would cause the universe to implode on itself

A boy purchased​ (bought) a​ party-length sandwich 51 in. long. He wants to cut it into three pieces so that the middle piece is 6 in. longer than the shortest piece and the shortest piece is 9 in. shorter than the longest piece. How long should the three pieces​ be?

The shortest piece has a length of ______ in.
Middle piece has a length of _______ in.
Longest piece has a length of ______ in.

Answers

Answer:

Step-by-step explanation:

we have a 51 in sandwich

let a piece be x

we have x= shorter piece

another piece is x+6

another piece (x+6)-9=x-3

x+x+6+x-3=51

3x=51-3

3x=48

x=48/3=16

x=16, longer piece is 16+6=22, shorter piece =10

A pair of tow trucks are pulling on a trailer that is stuck

in mud. The first truck pulls a a pair of tow trucks are pulling on a trailer that is stuck in mud. the first truck pulls with a force of 10,000

pounds at a 110° angle from the second truck, which is

pulling with a force of 7,500 pounds. What is the

magnitude of the resultant force?

9.821 pounds

10,244 pounds

14,405 pounds

24 226 pounds

Answers

Answer:

R=10,244 Lb

Step-by-step explanation:

In order to solve this problem, we can start by drawing the situation. (See attached picture).

We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°

In this case we can find the resultant force by using the law of cosines:

[tex]A^{2}=B^{2}+C^{2}-2AB cos \alpha[/tex]

so we can use the data given by the problem:

[tex]R^{2}=T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha[/tex]

so we can solve this for R, so we get:

[tex]R=\sqrt{T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha}[/tex]

now we can substitute:

[tex]R=\sqrt{(10,000Lb)^{2}+(7,500Lb)^{2}-2(10,000Lb)(7,500Lb) cos (70^{0})}[/tex]

which yields:

R=10,244Lb

Answer:b

Step-by-step explanation:

Took the test

The slope of a line through the points (-2, 4) and (6, b) is -3/4 What is the value of b?

Answers

9514 1404 393

Answer:

  -2

Step-by-step explanation:

The slope formula can be used. Fill in the given information and solve for b.

  m = (y2 -y1)/(x2 -x1)

  -3/4 = (b -4)/(6 -(-2))

  -6 = b -4 . . . . . . multiply by 8

  -2 = b . . . . . . . . add 4

The value of b is -2.

I am very confused, please help!

Answers

The answer is x = 12

Answer:

dk tbh

Step-by-step explanation:

I really need someone to explain to me on how to solve these!! :(

Answers

Answer:

3.7%

Step-by-step explanation:

(p)principal=$3400

(t)time=9months=9÷12year=3÷4year

(i)interest=$94.50

(r)rate=?

we have

r%=i/(pt)

r%=94.50÷(3400×3÷4)

r÷100=94.50÷2550

r=0.37×100

r=3.7

required rate is 3/7%

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

The answer to the question provided is c.

CD, CE, DE

DE, CE, CD

CE, CD, DE

CE, DE, CD

WHICH ONE! I WILL MARK U AS BRANILYST

Answers

Answer:

The order of the sides of each triangle from shortest to longest.

CE, DE, CD

Step-by-step explanation:

Given the triangle CDE

C = 60°E = 85°D = 35°

We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

as

angle D=35° < angle C=60° < angle E=85°

It means:

The opposite side of the angle D is the shortest side which is CE.The second-longest side is the opposite of the angle C = 60° which is DE.The opposite side of the angle E i.e. CD is the largest side.

Therefore,

angle D=35° < angle C=60° < angle E=85°

CE                 <       DE           <           CD

Hence, the order of the sides of each triangle from shortest to longest.

CE, DE, CD

Niamh was driving back home following a business trip.
She looked at her sav nav at 17:30
Niamh arrived home at 19:42

Work out the average speed of the car, in mph, from 17:30 to 19:42
You must show all working

Answers

Answer:

Step-by-step explanation:

Answer:

65 mph

Step-by-step explanation:

Speed formula:

speed = distance / time

Distance = 143 miles

Time is:

19:42 - 17:30 = 2 hr 12 min = 2 12/60 hr = 2.2 hr

Speed is:

143/2.2 = 65 mph

Find the slope of the given line, if it is defined.
The line through the origin and (-9,12)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope equals
(Simplify your answer.)
OB. The slope is undefined.

Answers

By b be bb nbbgnbbghggnynyyjyytyg

Step-by-step explanation:

By hhggtgtggpyphphpglyylylhlh,hly

Matthew has a standard deck of cards. There are four suits with 13 cards in each from ace through to king.

He shuffles the deck and selects one card and then another. In its simplest form, what is the probability that he draws a pair of tens?

Answers

Answer:

Step-by-step explanation:

Probability of getting pair of 10's: 1/221

We have the following information available from the question is:

There are four suits with 13 cards in each from ace through to king.

Two cards one after another are drawn from a deck of 52 cards.

We have to find the probability that he draws a pair of tens.

Now, According to the question:

We know that:

In a pack of 52 cards, there is 4 tens:

Then, Probability of getting 10 in first attempt:

= 4/52

After drawn first ten, There is 51 cards are remaining in a pack of cards and no. of ten's = 3

Probability of getting 10 in 2nd attempt :

= 3/51

Probability of getting pair of 10's:

[tex]=\frac{4}{52} (\frac{3}{51} )=\frac{12}{2652}[/tex]

=> 1/221

Learn more about Probability at:

https://brainly.com/question/31120123

#SPJ2

I will give brainiest to whoever answers correctly !!

Answers

Answer:

$323

Step-by-step explanation:

The bank collected  [tex]8\frac{1}{2}[/tex]% on the date of maturity , that represents

[tex]8\frac{1}{2} =\frac{17}{2} =8.5[/tex]

Thus,the bank obtained

[tex]3800.0.085=323[/tex]

The main paid $323 for the use of the money!

PLEASE MARK ME AS BRAINLIEST

Which expression can represent 70% of x?
Х
10
O
O

Answers

10 is the answer for this problem

The length of a wall on a picture is 4 inches. The real wall is 72 inches long. What is the scale factor from the picture to the real wall?
(How many times longer is the real wall?)
A.12
B.18
C.20
D.4

Answers

Answer:

В. 18

Step-by-step explanation:

72/4=18

Danny purchases a shirt for $30. The store charges him 8% sales tax on the purchase. How much sales tax will the store charge on the purchase?

Answers

Answer:

tax = $30.00 * 8% tax = $30.00 * 0.08 tax = $2.40

Step-by-step explanation:

Lucas makes a smoothie using the recipe (berries 3/8, mango 1/2, yogurt 3/4 cups), but he also adds almond milk. He makes two 8-fluid ounce servings in all. How much slmond milk does he add? There are 8 fluid ounces in 1 cup.​

Answers

I would say 16 that’s what it is most likely

The quantity of almond milk he added was = -3/8cups

The recipe for the smoothie = berries 3/8, mango 1/2, yogurt 3/4 cups and almond milk (x) cups

The total quantity of smoothie = 2 cup (two 8-fluid ounce servings in all).

That is; 3/8 + 1/2 + 3/4 + x = 2

Making x the subject of formula;

[tex]x = (\frac{3}{8} + \frac{1}{2} + \frac{3}{4} ) - 2[/tex]

LCM of 8, 2 and 4 = 8

[tex]x = \frac{3 + 4 + 6}{8} [/tex]

[tex]x = \frac{13}{8} [/tex]

Therefore, x = 13/8 -2

LCM = 8

X= 13- 16/8

x = -3/8cups

Learn more about LCM here:

https://brainly.com/question/16054958

Jericho has 32 inches of blue ribbon. He cuts six 3-inch pieces from the original ribbon. How much of the original ribbon is left? ​

Answers

Answer:

14 inches of the original length of ribbon is left.

Step-by-step explanation:

It is given that the total length of ribbon is 32 inches.

It is also given that he cuts six 3-inch pieces from the original length. This means:

6*3 = 18 inches

18 inches are cut from the total length of ribbon.

So the remaining ribbon will be:

= 32-18 = 14 inches

Hence,

14 inches of the original length of ribbon is left.

the volume of a hot air balloon is given by V-

Answers

I have no idea but i need extra points good luck.

If 25 + d = 36, does 25 + d – 25 = 36 – 20? Explain.

Answers

Answer:

No

Step-by-step explanation:

One way to solve is to algebraically find what d is and then solve using PEMDAS to see if both sides are equal. However, there is a faster way, this way is to remember the properties of equality. In this case, the subtraction property of equality is especially important. This property tells us that if you subtract the same thing from both sides of the equation then they are still equal. But, in this equation two different constants are being subtracted, 25 and 20, therefore the equation cannot be true.

Commenting so other guy can get brainliest

✓2(✓3+✓5)-√6-✓10
rationalize​

Answers

Answer:

Step-by-step explanation:

✓2(✓3+✓5)-√6-✓10  

= ✓6 + ✓10 -✓6-✓10

=0

plzzz Brain-list

Answer:

0

Step-by-step explanation:

hope it helps!

A train is pulling 14 cars. Each car can hold 17 boxes of freight. There are 94 boxes in the cars already. How many more boxes can the train hold? Please help I need answers FAST

Answers

Answer:

Each pull cart can hold 5 9/17

I think...

Step-by-step explanation:

Answer:

It can hold 144 more boxes

Step-by-step explanation:

17*14=238

238-94=144 boxes

The time it takes me to wash the dishes is uniformly distributed between 7 minutes and 15 minutes. What is the probability that washing dishes tonight will take me between 10 and 13 minutes

Answers

Answer:

37.5%

Step-by-step explanation:

Calculation for the probability that washing dishes tonight will take me between 10 and 13 minutes

Probability of washing dishes=(13minutes-10minutes)/(15minutes-7minutes)

Probability of washing dishes=3 minutes/8 minutes

Probability of washing dishes=0.375*100

Probability of washing dishes=37.5%

Therefore the probability that washing dishes tonight will take me between 10 and 13 minutes is 37.5%

Someone pls help me PLSSS

Answers

The answer would be C. 5 divided by some number

5 divided by some number

Stem Leaves 13 1 1 2 2 4 4 6 14 3 6 6 7 8 9 15 0 1 4 5 5 7 16 2 5 5 6 8 9 17 2 2 7 8 18 0 2 4 5 5 7 8 19 1 2 2 3 4 20 3 5 5 21 1 2 6 6 6 8 Step 1 of 3 : What is the weight of the lightest person in the group

Answers

Answer:

131 is the weight of the lightest person in the group

Step-by-step explanation:

Stem                Leaves

13                     1 1 2 2 4 4 6

14                     3 6 6 7 8 9

15                     0 1 4 5 5 7

16                     2 5 5 6 8 9

17                       2 2 7 8

18                    0 2 4 5 5 7 8

19                    1 2 2 3 4

20                   3 5 5

21                    1 2 6 6 6 8

131 is the weight of the lightest person in the group.

If we look closely the stem has the 13 as the lowest number. And corresponding to it the least number is 1.

Therefore the lightest weight person is 131 .All other weights are greater than 131 e.g 132 , 134 and 136 .

The data shows there are 131 ,131, 132,132,134,134, and 136 weights in the least weight group. So out of these 131 is the smallest.

Write the expression nine divided by the quantity of x plus y

Answers

9514 1404 393

Answer:

  [tex]\text{A)}\quad\dfrac{9}{x+y}[/tex]

Step-by-step explanation:

In the English expression, you need to understand that "A divided by B" means that A is the numerator and B is the denominator of the fraction representing the division. Here, "B" is "the quantity of ...", which means that the stuff after "of ..." is to be treated as a single item, the denominator in this case. That item is "x plus y." So, the expression in math terms is ...

  [tex]\dfrac{9}{x+y}[/tex]

When this is written in plain text, the "quantity" is put in parentheses, because the fraction bar no longer serves as a grouping symbol:

  9/(x+y)

These expressions match the first choice, A.

SOLVE THE EQUATION: 25 - 3X = 40 (HINT: WATCH YOUR NEGATIVE SIGNS

srry for all caps...​

Answers

Answer:

x = -5

Step-by-step explanation:

-3X + 25 =40 : Rearrange the expression

-3X = 40 - 25 : Separate the constants and variables

-3X=15 : Subtract the numbers

-3X/-3 = 15/-3 : Divide both sides by -3

Hope that helps

please help me i don't get this stuff i am only in 6th grade

Answers

Answer:

d option when m=4 then a=b

Answer:

Option D.

Step-by-step explanation:

You can do this two ways.

1. You can simplify both expressions.

2(m+m+m)+m = 2*3m+m = 7m

(3+4)m = 7m

Also, you can test each answer. Substitute all the m's for 4s and solve.

The equation d = 2t^ gives the distance from the start point of a toy boat that starts at rest and accelerates at 4 cm/s2. The equation d = 10t - 8 gives the distance from the start point of a second boat that starts at rest 8 cm behind the first boat and travels at a constant rate of 10 cm/s.

a) By setting the equations equal to each other, you can determine when the cars are the same distance from the start point: 2t2 = 10t - 8. Rewrite the equation so it is equal to 0 on the right hand side of the equation.

b) Factor the expression on the left side of the equation.

c) boats are the same distance from the start point at t = 1 and t = 4. Explain how the factors you found in part b were used to find these two times.

Answers

Answer:

Step-by-step explanation:

Given that:

[tex]d = 2t^2[/tex] and [tex]d = 10t - 8[/tex]

If we equate both since they are distances, we have:

[tex]2t^2 = 10t - 8[/tex]  

Algebraically, moving the equation to the right side, we get:

[tex]2t^ 2 = 10t -8 \\ \\ 2t^2 -10t +8 =0[/tex]

To factor the equation on the left side:

[tex]2t^2 - 10t + 8 = 0[/tex]

Factor out 2 on the left-hand side:

[tex]2 (t^2 -5t + 4) =0[/tex]

[tex]=2 (t^2 -t-4t + 4)[/tex]

[tex]= 2[t(t-1)-4(t-1)][/tex]

[tex]=2(t-1) (t-4)[/tex]

To determine the time when the two boats have to cover an equal distance:

[tex]2(t -1)(t-4) =0 \\ \\(t-1)(t-4) =0[/tex]

Thus:

[tex]t - 1 = 0 \ or \ t - 4 = 0 \\ \\ t = 1 \ or \ t = 4[/tex]

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