Solve for y. y ≥ 10 y ≥ -10 y ≤ -10 y ≤ 10

The required inequality model for this situation is 12x + 15.5y ≥ 390.

What are inequalities?

The mathematical expressions with inequalities are those with unequal sides on both sides. Unlike equations, we compare two values when we work with inequality. The equal sign is substituted between by the less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

"A connection is termed an inequality if two real numbers or algebraic expressions are connected by the symbols ">,"< "," <="," or ">=."

For instance, x>3 (x should be greater than 3)

If there is just one variable, the inequality is said to have an open sentence.

Instance: x 6 (x is less than 6)

Double Inequalities: If the statement demonstrates a double relation between the expressions or the numbers, the inequality is said to be a double inequality.

Instance: 3 x 8 ( x is greater than or equal to 3 and less than 8)
Given, the gas station pays $12 an hour and delivers groceries for $15.50 an hour.

And, x be the number of hours he works at the gas station and let y be the number of hours he works delivering groceries.

Then, total earnings in gas station = 12x

total earnings for delivering groceries = 15.5y

So, based on the given inequality condition

12x + 15.5y ≥ 390

Hence, the required inequality model for this situation is 12x + 15.5y ≥ 390.

To learn more about inequalities

https://brainly.com/question/25275758

#SPJ1

Answer: yes, 1/3, 1/3x

Step-by-step explanation:

Does x vary directly with y?

This basically means is this a linear function and the answer is yes it is.

What is the constant of variation?

The constant of variation is 1/3 because you have to multiply each x value by 1/3 to get the y value

What is the function rule?

y = 1/3x

Answer:

k = -3

Step-by-step explanation:

Lines in the form y=k are horizontal. The lowest point on the parabola has a y-value of -3. That is the value where y=-3 will intersect the parabola at exactly one point. Every k value above this will have 2 points of intersection.

The probability of getting at least one multiple of 3 when a six-sided number cube is rolled 5 times is 1/7776 or 0.01%.

Probability shows the likelihood of an event happening.  it can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1.

Probability of getting at least one multiple of 3 = 1/6.

Probability of getting at least one multiple of 3 five times = probability of getting at least one multiple of 3 first time×probability of getting at least one multiple of 3-second time×probability of getting at least one multiple of 3 third time ×probability of getting at least one multiple of 3 fourth time ×probability of getting at least one multiple of 3 fifths time.

Probability of getting at least one multiple of 3 five times

= (1/6) × (1/6) × (1/6) × (1/6) × (1/6)

= 1/7776.

Learn more about probability on

brainly.com/question/17084679

#SPJ1

In 0.02 seconds, the mortar shell will make contact with the target.

The formula for velocity, which is equal to distance / time, is used to calculate how long it will take to hit the target.

In the problem, the distance is 3 feet, and the velocity is given to be 150ft/s

therefore

150 = 3 / time

time = 3 / 150

time = 0.02 seconds

Learn more on velocity at:

https://brainly.com/question/25749514
#SPJ1

Answer: 4,375.

Step-by-step explanation: If your team is able to produce 1,250 widgets in one week, then in 3 1/2 weeks, they will be able to produce 3 1/2 * 1,250 = <<3.5*1250=4375>>4,375 widgets.

If U = {b, c, d, e, f, g, h} and A = {b, f, g, h}, using the roster method to write the set A' which is the set complement of A gives; A' = {c, d, e}

Sets are defined as groups of clearly specified components. The number of items that exist in a finite set is denoted by a curly bracket.

We are given;

Universal Set U = {b, c, d, e, f, g, h}

Subset A = {b, f, g, h}.

The roster method to write the set A' which is the complement of A will be expressed as;

A' = U - A

Thus;

A' = {b, c, d, e, f, g, h} - {b, f, g, h}

A' = {c, d, e}

The roster method to write the set A' will be {c, d, e}.

Read more about complement of set at; https://brainly.com/question/17513609

#SPJ1

The points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

The general equation of a straight line is : y = mx + c.

[m] is called slope and it tells the unit rate of change in [y] with respect to [x].

[c] is called the [y] - intercept.

We have some points that lie on a line that passes through the origin with a slope of −25.

The equation of a straight line that passes through the origin and has slope of -25 will be -

y = - 25x

The points that will lie on the line will be -

(0, 0) , (1, - 25) , (- 1, 25)

Therefore, the points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ1

Answer: 7 years

Step-by-step explanation:  

We make the assumption that 8000 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $10\%=8000$.

Step 4: In the same vein, 100%=8000$.

So divide that by 5% 0.05%

Then multiply it by 5   0.0025%

Then convert it into money  26$

[tex]\fbox{12}[/tex]

When multiplying two negative numbers, the answer will always be positive.

[tex]-6\times-2[/tex]

[tex]=12[/tex]

Answer: 432

Step-by-step explanation:  947- 515 = 432.

My subtracting 515 from 947, the answer becomes 432. You can double check this statement by adding 515 and 432 together.

The translation applied to the triangle is:

T(x, y) → (x +4, y - 5)

Sp the correct option is the first one.

To analyze the translation we only need to compare the coordinates of one of the vertices.

Let's see the vertex H.

The coordinates of H are (-4, 1)

The coordinates of H'' are (0, -4)

Then the translation is defined by the difference between these coordinates:

(0, -4) - (-4, -1) = (4, -5)

Then the translation here is:

T(x, y) → (x +4, y - 5)

So the correct option is the first one.

Learn more about translations:

https://brainly.com/question/24850937

#SPJ1

The percent increase with the additional baggage fee for airline would be $125 / $220 x 100% = 56.82%.

A number can be expressed as a fraction of 100 using a percentage. It may be computed by dividing the number by the total and multiplying by 100. It is commonly represented by the sign "%". The percentage of men, for instance, would be 25/100 x 100, or 25%, if there were 100 persons in all.

In a variety of areas, including statistics, finance, and education, percentages are often employed. For instance, in finance, percentage increase in stock prices are used to gauge a market's or company's success. In education, grades are frequently given as percentages to represent class marks.

How to solve?

The increase in the cost of the ticket is $295 - $220 = $75

The percent increase is $75 / $220 x 100% = 34.09%.

If the airline charges an additional $50 baggage fee, the new ticket price would be $295 + $50 = $345.

The increase in the cost of the ticket with the additional baggage fee would be $345 - $220 = $125.

The percent increase with the additional baggage fee would be $125 / $220 x 100% = 56.82%.

To learn more about percentage, visit:

https://brainly.com/question/14979505

#SPJ1

The graph of the function f(x) = x² + 7x + 10 is attached.

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix. The general equation of a parabola is -

y = a(x - h)² + k

We have the following equation of a quadratic equation representing parabola as -

f(x) = x² + 7x + 10

Refer to the graph of the function f(x) attached. It can be seen that it is a parabola opening upwards.

Therefore, the graph of the function f(x) attached.

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

brainly.com/question/20333425

#SPJ1

Answer:

Zeg can buy a candy stick and a Popcorn ball.

Step-by-step explanation:

After calculating the total based on the following:

Candy bars are $0.99, Candy sticks are $0.45, Giant lollipops are $1.75, and Popcorn balls are $0.50.

the total was $8.24. [tex]9.20[/tex] [tex]-8.24 = 0.96[/tex] The only two items that can fit into this are a popcorn ball, and a candy stick.

Answer:

[tex]h=\frac{V}{\pi r^{2} }[/tex], 20 meters

Step-by-step explanation:

The formula for the volume of the silo is: [tex]V=\pi r^{2} h[/tex]

You are given:

Volume= 6,280 cubic meters

Radius= 10 meters

Therefore, you can solve for the height by getting h on it's own side.

The formula for the height of the silo is given by:  [tex]h=\frac{V}{\pi r^{2} }[/tex]

Now solve using the given values:   [tex]h=\frac{6,280}{\pi (10)^{2} }[/tex]

The height of the silo = 20 meters

Answer:30

Step-by-step explanation:

30 is the smallest number that has three different prime factors.

Answer:

144

Step-by-step explanation:

Answer:48

Step-by-step explanation:

Wherever you see an x on the right, you put a 16. That's what f(16) means.

f(16) = 1/3 (4 - 16)^2

f(16) = 1/3 (- 12)^2

f(16) = 1/3 (144)

f(16) = 48

Answer:

Step-by-step explanation:

The equivalent of (h+h)(2) of the function h(x) = 5x - 6 is 5[5(2) - 6] -6 which is option B

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).

h(x) = 5x - 6

(h + h)(x) = h(x) in x. This means put the function in h(x)

so x = 5x - 6

so (h + h)(x) = 5(5x-6) -6

if x = 2,

we have (h + h)(2) = 5[5(2) -6] -6

In conclusion the expression  5[5(2) -6] -6 is equivalent to (h+h)(2)

Learn more about function: https://brainly.com/question/10439235

#SPJ1

Answer: 46 miles

Step-by-step explanation: according to my calculations i minus te total mileage gas times the current philosphy of the number of gallons with 50 - 30

Answer:

30

Step-by-step explanation:

The way to figure out the average rate of change is to divide the change in f(x) and divide that by the change in x. A formula for this is [tex]\frac{f(x_{1})-f(x_{2})}{x_{1}-x_{2}}[/tex]
1.) By this definition, we need to figure out our x1 and x2. We can say the x1 = 3 and x2 = 1
2.) Next, we plug it into the formula. We will get [tex]\frac{f(3)-f(1)}{3-1}[/tex].

3.) If we simplify, we will get 10(2)^3 - 10*2 divided by 2, which is equal to 10*4 - 10 = 30.

The probability of picking a purple and green marbles is 0.05.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

Number of purple marble = 50

Number of green marbles = 10

Total number of marbles = 100

The probability of picking a purple and green marbles will be:

= 50/100 × 10/99

= 0.05

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Complete question

A urn contains 100 marbles. Fifty are purple, ten are green, fifteen are red, and twenty-five are orange. Two marbles are drawn at random one after another without replacement. Calculate the probability of picking a purple and green marbles

The perimeter of a square with a length of 5x can be represented by the expression 45x. This is because the perimeter of a square is equal to the length of any side of the square multiplied by the total number of sides, which is 4 for a square. So, for a square with a length of 5x, the perimeter would be 45x, or 20x.

The length of a rectangle is 12 units and width is 5 units.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

To determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given that the Perimeter of a rectangle = 34 cm.

and, length is two more than twice the width.

Thus the width be x.

So, the length = 2x + 2

So,

Perimeter of rectangle = 2 ( l +w )

34 = 2( x+ 2x+ 2)

17 = 3x +2

3x = 15

x= 5

2(5)+2 = 12

So, The length is 12 units and width is 5 units.

Learn more about Algebra here:

brainly.com/question/24875240

#SPJ1

Answer:

F(x) = m1/5

Step-by-step explanation:

Answer:

A,B,C

Step-by-step explanation:

the number in x has to be a different number it can't be the same

example:

2x+3=5x+79

wrong way:

5x+3=5x+79

that equals no solution

hope this helps

Answer:

y = 3x + 9

Step-by-step explanation:

y = 3x + b

33 = 3(8) + b

33 = 24 + b

b = 9

y = 3x + 9

Could you please give me brainliest for this? Thank you!

The rectangle that has side lengths of 5 units and 6 units is (b) the rectangle that has a perimeter of 22 units

The complete question is added at the end of this solution

From the complete question, we have the following parameters that can be used in our computation:

Side lengths = 5 units and 6 units

These side lengths can be represented as

Length = 5 units

Width = 6 units

The area of a rectangle is calculated as

Area = Length * Width

Substitute the known values in the above equation, so, we have the following representation

Area = 5 units * 6 units

Area = 30 square units

The perimeter of a rectangle is calculated as

Perimeter = 2 * (Length + Width)

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 * (5 units + 6 units)

Perimeter = 22 units

Comparing the above to the options, we have

(b) The rectangle with a perimeter of 22 units

Hence, the true statement is (b)

Read more about rectangles at

https://brainly.com/question/25292087

#SPJ1

Possible question

Which rectangle has side lengths of 5 units and 6 units?

(a) The rectangle with an area of 22 square units

(b) The rectangle with a perimeter of 22 units

(c) The rectangle with a perimeter of 22 square units

(d) The rectangle with an area of 30 units