Brody bought snacks for his team's practice. He bought a bag of oranges for $2. 33

and a 5-pack of juice bottles. The total cost before tax was $8. 58. Write and solve an

equation which can be used to determine x, how much each bottle of juice costs?

Geometrically, S represents a plane in ℝ^3 that is orthogonal (perpendicular) to the vector m.

To establish that S is a subspace of ℝ^3, we must confirm that S is closed under vector summation and scalar multiplication.

A pertinent theorem from linear algebra that can be applied here is the "Subspace Criterion" theorem. This principle states that a non-empty subset S of a vector space V is a subspace if and only if it fulfills the following conditions:

For any vectors a, b ∈ S, their addition a + b ∈ S.

For any vector a ∈ S and any scalar k, the product ka ∈ S.

Now, let's define a vector m = v - e.

Observe that for any y in S, we have:

m • y = (v - e) • y = (v • y) - (e • y) = 0.

This implies that y is orthogonal to the vector m.

Geometrically, S represents a plane in ℝ^3 that is orthogonal (perpendicular) to the vector m.

As the plane is closed under vector summation and scalar multiplication, S is indeed a subspace of ℝ^3.

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Suppose v = (2, 4, 5) and e = (6, 7, 3) are a pair of vectors in ℝ^3. Let S be the collection of all y in ℝ^3 such that the inner product of v and y equals the inner product of e and y (i.e., v • y = e • y).

What principle can be utilized to demonstrate that S is a subspace of ℝ^3? Describe S in geometric terms.

Answer:  20:12

Step-by-step explanation:

Answer:

15:9

Step-by-step explanation:

multiply both by 3,4,5,6,7,8,9,etc.

For the two given statements are:

"For every dollar you spend, you can get pounds of grapes."

If one pound costs $2, then for each dollar you will get half a pound.

"For each pound of grapes, you would need"

For each pound of grapes you will need 2 dollars.

Here we know that the graph shows the relationship between the pounds of grapes (g) and the cost (c). Such that the cost is on the horizontal axis, and the weight on the vertical axis.

We have the points:

Then this is a proportional relationship, and we can see that each pound of grapes costs $2

Then the statements are:

1) "For every dollar you spend, you can get pounds of grapes."

If one pound costs $2, then for each dollar you will get half a pound.

2) "For each pound of grapes, you would need"

For each pound of grapes you will need 2 dollars.

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Answer:

The factors of 57 which lie between 1 and 57 are as follows:

{1,3,19,57}

Answer:  C.  1/r^10

Step-by-step explanation:

when you are dividing two exponents, you have to subtract them.

Subtract numerator by denominator: 2 - 12 = -10

when you have negative exponent you have to put a one at the numerator

Answer: 1/r^10

Of the two products the newsvendor order more quantity for X is more than the quantity ordered for Y.

Cr = 0.8 which is the critical ratio for both the products

The value of Z corresponding to the critical ratio of 0.8 from the standard normal distribution tables is 0.8416

Unless the quantity ordered by the newsvendor is Q, then

Q =  mean value of demand + Z x standard deviation of demand

Below are the specifications of the two products:

The mean requirement for both X and Y is 900O units.

Z value for both X and Y = 0.8416

Let,

Sd₁ Demand Standard Deviation for Product X

Sd₂ = Demand Standard Deviation for Product Y

Assuming that  (Product X does have a higher standard deviation than Product Y),

quantities for X =  mean value of demand + Z x standard deviation of demand

9000 + 0.8416Sd₁

Order amount for Y =  mean value of demand + Z x standard deviation of demand

9000 + 0.8416Sd₂

because

X₁ > X₂

As a result,

9000 + 0.8416Sd₁ > 9000 + 0.8416Sd₂

The quantity ordered for X is > the quantity ordered for Y.

Therefore, The quantity ordered for X is more than the quantity ordered for Y. As a result, Newsvendor orders Product X more frequently because it has a higher level of uncertainty.

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From the information in the word problem we are able to set up the following inequality:  

3y + 2 - y = 12   |   where x is the larger number of two numbers in a set (x, y)  

We know this because the problem states that [x = 3y + 2] or 3 times the smaller number plus two.  

We also know that x - y = 12.

So, we substitute x in [x - y = 12] with 3y + 2 that we found out above, and we get the following:

3y + 2 - y = 12

Now, we solve the inequality

3y + 2 - y = 12

-> subtract 2 from both sides :: 3y - y = 10

-> subtract y from 3y              :: 2y = 10

-> divide both sides by 2        :: y = 5

So now we have y, the smaller number, which is equal to 5. Next, to find x we simply plug y=5 back in to either the value of x, [3y + 2], or the inequality of x - y = 12. I will show both:  

x - y = 12

-> substitute y for 5     :: x - 5 = 12

-> add 5 to both sides :: x = 17

OR

3y + 2 = x

-> substitute y with 5 :: 3(5) + 2 = x

-> multiply 3, 5          :: 15 + 2 = x

-> add 15, 2              :: 17 = x

So there you have it:  

x = 17 , y = 5

You can go back and use these values to check your answer and make sure they work with the word problem.  

Remember to look for the setup to an inequality in the word problem. Anything that says BLANK times this number, or 4 less than that number, is trying to set you up with an inequality problem.  

(just another form of the equation)

brainliest will be appreciated as well

Answer: Yes. There's a proportional relationship

Step-by-step explanation:

We are told that Anthony and Miguel go to the store to purchase some new DVDs and that an advertisement in the window catches their attention as they saw that:

3 DVDs cost $22,50. This means the price of one will be:

= $22.50 / 3

= $7.50

5 DVDs cost $37.50. This means that the price for one will be:

= $37.50 / 5

= $7.50

Since the price of a DVD both cost $7.50, it means that the information on the sign represent a proportional relationship.

If the sum of three lengths of a fence ranges from 45 to 60 inches and  two side lengths are 9 and 18 inches, If the length of the third side is x inches, then the compound inequality to show the possible length of the third side is 18≤x≤33

Given,

The range of sum of three lengths = 45 to 60 inches

Length of other two side = 9 and 18 inches

Length of third side = x

Sum of three lengths = 9+18+x

= 27+x

The range of sum of three lengths is 45 to 60

then,

45≤27+x≤60

Subtract 27 from each part

18≤x≤33

Hence, if the sum of three lengths of a fence ranges from 45 to 60 inches and  two side lengths are 9 and 18 inches, If the length of the third side is x inches, then the compound inequality to show the possible length of the third side is 18≤x≤33

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Answer:

B

Step-by-step explanation:

This is because 18 is less than or equal to x which is less than or equal to 33. Your welcome

106 bags needed to pack all the brownies.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jack and Dwayne made 318 Brownies.

Each small bag contain 3 Brownies.

So, the number of bags required

= 318 / 3

= 106 bags

Hence, 106 bags needed.

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Answer:

A , B, and D

Step-by-step explanation:

you find the unit prices by dividing the cost per pound

a bc it sells them at $1.52 per pound

b bc it sells them at $1.49 per pound

NOT c because it sells them at $3.14 per pound

D because it sells them at $1.88 per pound

I will have 11 cookies remaining.

The expression will be; Y = 33 - X

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on.

For the first batch

Total = 36 - 33 (collected by dad)

Total = 33

Second batch

Let remainder = Y

Y = 33 - X

where X = teachers part

To find the remainder, X = 2/3 x Total

X = 2/3 x 33

X = 22

Therefore;

Y = 33 - 22

Y = 11

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11/4 is the answer to this question

Answer:

range = 51

Step-by-step explanation:

Range = biggest - smallest

62 - 11 = 51

The measures of the angles are

1. Angle TLN, MZQ and NLM

The angles TLN and NLM are supplementary angles

So, we have

TLN + NLM = 180

This gives

3x - 18 + y = 180

Also, we have

TLN + MZQ = 180

So, we have

3x - 18 + 5x + 14 = 180

Evaluate the like terms

8x -4 = 180

This gives

8x = 184

Divide

x = 23

Substitute x = 23 in 3x - 18 + y = 180

3 x 23 - 18 + y = 180

Evaluate

51 + y = 180

So, we have

y = 129

The above computations imply that:

TLN = 3 x 23- 18 = 51 degrees

NLM = y = 129 degrees

MZQ = 5 x 23 + 14 = 129 degrees

2. Angle JZQ and TLN

The above means that

JZQ = TLN

So, we have

9x + 9 = 8x + 19

Evaluate

x = 10

So, we have

JZQ = TLN = 9 * 10 + 9

JZQ = TLN = 99 degrees

3. Angle ZMR, LMO and LMR

The angles ZMR and LMO are congruent angles

So, we have

ZMR = LMO

This gives

x + 14 = 2x - 6

Evaluate

x = 20

Also, we have

LMR + LMO = 180

So, we have

y + 2x - 6 = 180

y + 2 x 10 - 6 = 180

y + 14 = 180

So, we have

y = 166

The above computations imply that:

LMO= ZMR = 20 + 14 = 34 degrees

LMR = y = 166 degrees

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J = (3,0)

K = (3,negative two)

L = [ 0, negative two]

I apologise for the way this is set out, half of the keys on my laptop do not work

Answer:

J- (3,0)

K- (3,-2)

L- (1,-2)

Reasoning- Just move the points to where it's asking.

The number of non-fiction books sold on Friday will be two-and-a-half times the number of arts and crafts books sold on Friday. Therefore, option B is the correct answer.

We can see from the table that on Thursday, 7 sports and trivia books and 19 arts and crafts books were sold, for a difference of 12.

On Thursday, 13 non-fiction books and 19 arts and crafts books were sold. If we assume that the same ratio will hold on Friday, then we can predict that the number of non-fiction books sold will be (19/2)×2.5 = 23.75, which is not a whole number. Therefore, this prediction is not supported by the data.

Therefore, option B is the correct answer.

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Answer:

arc LM = 39°

arc MLN = 269°

Step-by-step explanation:

arc LM = 360° - 230° - 91° = 39°

arc MLN= 39° + 230° = 269°

Answer:

30

Step-by-step explanation:

The sum of the angles in a triangle is always 180

n + 80 + 70 = 180

n + 150 = 180

n = 30º

At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

What is Division by Sharing?

let the number of gummy bears bag = x

9x/8 = 5

9x = 40

x = 4.4

Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

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The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.



To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.

Given:

Arrival rate: 18 vehicles per hour

Service rate: 16 vehicles per hour

Time: 4 hours

First, let's calculate the total number of vehicles that arrive during the 4-hour period:

Total number of vehicles = Arrival rate * Time

                      = 18 vehicles/hour * 4 hours

                      = 72 vehicles

Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:

Time to serve all vehicles = Total number of vehicles / Service rate

                         = 72 vehicles / 16 vehicles/hour

                         = 4.5 hours

Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.

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Answer:

-5

an=4-5n

a12=-56

Step-by-step explanation:

a1=-1,an=a1+d(n-1)

a2=a1+d(2-1)=-1+d=-6

so    -1+d=-6

        +1      +1

          d=-6+1

           d=-5

an=a1+d*(n-1)  now I substitute a1 and d because I know them

an=-1+-5*(n-1)=-1-5n+5

an=4-5n

a12=a1+d*(12-1)

a12= -1 -5*11=-1-55

a12=-56

a) The graph of the given lines is as attached

b) The area of the enclosed triangle is: 8 square units

The general form of expression of linear equations in slope intercept form is expressed as:

y = mx + c

where:

m is slope

c is y-intercept

We are given the equations as:

y = x + 5

y = 5

x = 4

The graph of these three linear equations is as shown in the attached file

2) The area of the given triangle enclosed by the three lines is gotten from the formula:

A = ¹/₂ * b * h

where:

A is area

b is base

h is height

Thus:

A = ¹/₂ * 4 * 4

A = 8 square units

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Answer:

138.82

Step-by-step explanation:

Line up the numbers on the right - do not line the decimal points.

Start on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

then you add the products.

Answer:

138.82

Step-by-step explanation:

Multiply the numbers using the normal multiplication process. Now, count the number of digits after the decimal point in both the numbers. Add these 2 values & put the decimal point in the product by counting the digits from the left side of the place value. The answer is 138.82.

=》 Check the attachment for the steps.

_____________

Hope it helps ⚜

Answer:

2 , 3/2 , 9/3

Step-by-step explanation:

A number that can be represented as the quotient of two integers.

\( \frac{2}{3} =0.666666666 \: recurring\)

There are many rational numbers between 2/3 and 3.

\(2 \ \: \: \frac{3}{2} \: \: \: \frac{9}{3} \)

Answer:

0.0846153846 when divided

Answer:

806 in^2

Step-by-step explanation:

we can start by breaking it up into two 11x13 sides and four 13x10 sides.

A=l*h

The first group of just two sides is 13*11 = 143, and for both sides 286 in^2

Then for the second group, 13*10 = 130, and for four sides, 520 in^2

We can add these values together for the total surface area, and we'll get 806 in^2 !

Using number theory, the difference between the smallest and largest is 8998.

In order to determine the difference between the largest and smallest 4-digit in which the values do not change when their digits are reversed, we can start with;

This problem falls under number theory and we can apply some insight here;

In this case, the smallest value will be 1000 while the largest will be 9999

We can add 1 from 1000 till we reach 9999. For each number, we compare it with its reversed form. If they are equal, we store that number as a candidate for the smallest and largest numbers.

After checking all the numbers, we find that the smallest and largest numbers that meet the given criterion are:

Smallest number: 1001 (remains the same when digits are reversed)

Largest number: 9999 (remains the same when digits are reversed)

Now, we can calculate the difference between the smallest and largest numbers:

Difference = Largest number - Smallest number

Difference = 9999 - 1001

Difference = 8998

Therefore, the difference between the smallest and largest 4-digit numbers that do not change when their digits are reversed is 8998.

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Answer:

Given: m+13m+13

13m-m= 13

12m= 13

m= 13/12