For each ordered pair, determine whether it is a solution to 5x + 2y = -1. (x, y) (1, − 3) (2,8) (-4, -6) (-3,7) what is the soulsion

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The number on same team with same number of students and staff is 8.

A factor of a number simply means a number that divides another number without having a reminder.

In this case, there are 40 students and 24 staff members. Therefore, to have same team, we have to find the highest common factor for the numbers.

The highest common factor for 24 and 40 will be:

24 = 2, 3, 4, 6, 8, 12 and 24

40 = 2, 4, 5, 8, 10, 20 and 40

The highest factor is 8 which is the correct answer regarding the question.

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Answer:

10

Step-by-step explanation:

if you replace n with 10 you will get

2(10+2)<5(10-1)

2(12)<5(9)

24<45

which is a true statement if you replace n with any other number you will get a incorrect statement and if you replace n with 3 though they are equal it's not a ≤ it's only <

Answer:

Your answer is 8.

Answer:

Step-by-step explanation:

-24

The rate at which the radius is changing when the radius is 7 centimeters and the height is 6 centimeters is -0.8571 cm/s

dr/dt = -0.8571 cm/s

A cylinder's volume can be calculated using...

V = πr²h

For a constant volume, by differentiating with respect to t, we obtain...

0 = π(2rh·dr/dt + r²·dh/dt)

Finding for dr/dt, we have ...

dr/dt = dh/dt(-r²/(2rh)) = (dh/dt)(-r/(2h))

Filling in the given numbers gives ...

dr/dt = (0.5 cm/s)(-7 cm)/(2·6 cm)

dr/dt = -0.8571 cm/s

Therefore, the rate at which the radius is changing when the radius is 7 centimeters and the height is 6 centimeters is -0.8571 cm/s

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We need to find the volume of a rectangular prism with dimensions 6 ft, 10 ft, and 12 ft:

• The volume of a rectangular prism is given by the product of its dimensions.

Thus, the volume V of the room is given by:

Therefore, that volume is 720 cubic feet.

Answer:

Domain is permissible values of x.

Set notation: { x | -1 ≤ x < 6, x ∈ R}

Interval notation: [-2,6)

Hope that helps

Answer: Mary 10 Sue 6

Step-by-step explanation:

Answer:

Sue is 6 and Mary is 10

Step-by-step explanation:

let Sue's age be x then Mary is x + 4 and the sum of their ages is

x + x + 4 = 16

2x + 4 = 16 ( subtract 4 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

x + 4 = 6 + 4 = 10

then Mary is 10 and Sue is 6

Answer: X=7

Equation: 3x+4=25

Subtract 25-4=21

Divide 21 by 3, which equals 7

Therefore, x=7

Answer:

Width = 10 in

Length = 50 in

Step-by-step explanation:

Define the variables

Given the perimeter is 120 in:

[tex]\begin{aligned}\textsf{Perimeter of a rectangle} & = 2(\sf width + length)\\120 & = 2(x + 5x)\\120 & = 2(6x)\\120 & = 12x\\\dfrac{12x}{12}&=\dfrac{120}{12}\\\implies x&=10\end{aligned}[/tex]

Solution:

Answer: -3r³s⁶

Step-by-step explanation:

[tex](-r^2s)(-3rs^3)(-s^2)=\\\\(-3)(-r^2)(r)(s)(s^3)(-s^2)=\\\\-3(-r^{2+1})(-s^{1+3+2})=\\\\-3(-r^3)(-s^6)=\\\\-3r^3s^6[/tex]

Solution;

The side of the square with area 169 mm² is 13 mm.

The side of the square and it's area are related to each other by the following relation -

Area = side². According to the known fact, all the sides of the square are same..

Keep the value of area in formula to find the value of the length of the side of the square

169 = side²

Side = ✓169

Taking square root of the value of area to find the value of the length of the side of the square

Side = 13 mm

Therefore, the length of the side of the square is 13 mm.

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Answer:

.........................

Answer:

15 pumpkins.

Step-by-step explanation:

Lola is selling 4 pumpkins for $10 which means 1 pumpkin for $2.50, divide $37.50 by $2.50 & you get 15 pumpkins total.

The correct sentence regarding the sets is given as follows:

{1,3,5} C {x|x is an odd counting number}.

The set of counting numbers is composed by the non-negative numbers that are not decimals, hence they are given as follows:

{0, 1, 2, 3, 4, ...}

The set of odd numbers is composed by the numbers that are not divisible by 2, hence numbers that finish with digits 1, 3, 5, 7 or 9.

A set A is contained into another set B when it is a subset of the set B, that is, all of the elements of A belong to B. The symbol that represents if a set is contained into another is given by letter c.

In the context of this problem, we have that the elements 1, 3 and 5 are:

Hence the set is contained, and the correct sentence is:

{1,3,5} C {x|x is an odd counting number}.

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Answer:

the answer is not 90 its 169

Step-by-step explanation:

Answer:

321

Step-by-step explanation:

14x(4+17)+38-11

(we solve what's in the brackets first)
=14x(21)+38-11

(we solve the multiplication)

=294 + 38 -11

=321

Answer:

A coma is placed where there is a pause in a sentence, or a list of things. Therefor the commas will be placed as shown.

I pledge allegiance to the red, white, and blue flag.

My brother slowly picked up the spooky, wooden box with gold, silver, and copper inlay.

Step-by-step explanation:

Hope it helps! =D

The fact that voting might not be compulsory will make the voter ranks the candidate as their proximity, and the median voter wins the vote

The fact that resources are needed to finance reelection campaigns will make the probability of the median voter be in danger

According to median voter model theorem, at-least there must be two candidates

Being that we have two candidates for elected office, let's see how the following may affect the conclusions of the median voter model:

Part a

Voting might not be compulsory:

Here, voter ranks the candidates as per as their proximity, and the median voter will win the vote.

Part b

Resources are needed to finance re-election campaign :

When resources are needed to finance reelection campaign, none can cast their votes and it will distort this strategy. So the probability of median voter is in danger.

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Answer:

Yes, this equation represents a direct variation equation

constant of variation = 2

=========================================================

Explanation:

Let's solve for y

y - 6 = 2(x-3)

y - 6 = 2x - 6

y - 6+6 = 2x - 6+6

y + 0 = 2x + 0

y = 2x

The equation is in the form y = kx which fits a direct variation equation. The constant of variation is k = 2.

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Step-by-step explanation:

Based on the calculations, each missing height of this cylinder is; 6 and 5 inches.

Mathematically, the volume of a cylinder can be calculated by using this formula:

V = πr²h

Where:

V is the volume of a cylinder. h is the height of a cylinder. r is the radius of a cylinder.

Now h the subject of formula, we have:

h = V/πr²

When V = 96π and r = 4, the volume of this cylinder is;

h = V/πr²

h = 96π/π(4)²

h = 96/16

Height, h = 6.

When V = 31.25π and r = 2.5, then the volume of this cylinder is;

h = V/πr²

h = 31.25π/π(2.5)²

h = 31.25/6.25

Height, h = 5.

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The pair of vertically opposite angles are ∠1 and ∠3 and ∠4 and ∠2.

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines and are opposite to each other.

Vertically opposite angles share the same vertex  point.

In other words, vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines

Vertically opposite angles are congruent to each other.

Therefore, the pair of vertical angles are as follows:

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The alternate hypothesis for the directional z-test is:

Local resident's average > National average

A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge.

One of the ideas put out in the hypothesis test is the alternate hypothesis.

A researcher wants to know if people in his neighborhood have a better well-being than people nationwide.

The appropriate hypothesis for a one-tailed or directional z test for the test will be that the average local residents are higher than the national average.

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The equation y = -2x in the standard form is 2x + y = 0 and the graph of the function is shown below .

In the question ,

it is given that

the equation is y = -2x

The equation in standard form is represented as ax + by = c

to write the equation y = -2x in the standard form

taking all the terms to LHS , we get

2x + y = 0

hence y = -2x in standard form is 2x + y = 0 .

the graph is shown below .

Therefore , The equation y = -2x in the standard form is 2x + y = 0 and the graph of the function is shown below .

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The number of people who watched light year are 7.

Let x= number of friends that watches light year

and y= number of friends that watches jurassic park.

Let the equations be

All together total cost =>   4x+9y=172 ------> 1

And total number of people=>  x + y=23 ------> 2

By multiplying both equations by 1 and 4 respectively we can get,

By Solving above two equations we get, x=7 and y=16

As X represents  number of friends that watches light year, the answer is 7

Therefore, number of people that watches light year will be 7.

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For a sale of $8400 made his gross pay is $373.21

In this question, we have been given Mike Lasueze is guaranteed a minimum salary of $220 per week or 5.5 percent of his total sales, whichever is greater.

We need to find his gross pay for a week in which his total sales were $8,400

weekly pay = $220

commission = 5.5% of sales

                    = 0.055 of sales

Let m be the total sale and his gross pay be represented by y.

So, we get an equation for the total/gross pay:

y = 0.055x + 220

Required is the gross pay y for x = 8400

y = 0.055(8400) + 220

y = 682

Therefore, for a sale of $8400 made his gross pay is $373.21

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i think the answer is 16 im not to sure tho sorry