Jason is purchasing hot dogs and wings for a party. The price of one set of wings is $8. [tex]7 x+4 y \leq 40[/tex] is the equation system.
How do you shade a graph with two inequalities?x = pounds of wings, y = pounds of dogs that aren't
[tex]$\begin{array}{rl}7 x+4 y \leq 40 \Rightarrow 4 y & \leq-7 x+40 \\ x \geq 5 & y \leq-\frac{7}{4} x+10\end{array}$[/tex]
The inequality's sign will indicate which half-plane to shade, unless you are graphing a vertical line. Shade above the line if either the or > symbol is present. Shade below the line if the symbol "or" is used. When a linear inequality contains the symbols "less than" or "less than or equal to," you should shade below the boundary line. In a linear inequality, you will shade above the boundary line if the symbol is > (greater than) or (greater than or equal to). The approach used to resolve linear inequalities in two variables is the same as that used to resolve linear equations.
To learn more about graph refer to :
https://brainly.com/question/19040584
#SPJ1
A bag contains 50 marbles, 28 red ones and 22 blue ones. A marble is picked at random from the bag. What is the probability of picking a blue marble?
a
11/25
b
25/11
c
11/14
d
14/25
The probability of blue marbles is 11/25.
What is probability?Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
Given red marbles in the bag = 28
blue marbles in bag = 22
total marbles = 50
probability = favorable outcome/total outcome
P(blue marbles) = 22/50
P(blue marbles) = 11/25
Hence the probability is 11/25.
Learn more about probability;
brainly.com/question/30034780
#SPJ1
26
Consider the diagram below.
y
C
y₁ = x + 6-
5
-y = x - 6
J9
K 12
L 18
M 36
N 72
5
5+
A
x² + y² = 36
5
B
x
What is the area, in square units, of
A ABC?
The diagram's area at x is [tex]$$x=\sqrt{-y^2+36} \text { or } x=-\sqrt{-y^2+36}$$[/tex], and at y is [tex]$$y=\sqrt{-x^2+36} \text { or } y=-\sqrt{-x^2+36}$$[/tex].
What is the value of x² + y² = 36 ?Let's try to find x.
[tex]$$x^2+y^2=36$$[/tex]
Phase 1: Add [tex]$-y^{\wedge} 2$[/tex] to both parties.
[tex]$$\begin{aligned}& x^2+y^2+-y^2=36+-y^2 \\& x^2=-y^2+36\end{aligned}$$[/tex]
Take the square root in step two.
[tex]$$x=\sqrt{-y^2+36} \text { or } x=-\sqrt{-y^2+36}$$[/tex]
Solve for y now.
[tex]$$x^2+y^2=36$$[/tex]
Phase 1: Add [tex]$-x^{\wedge} 2$[/tex] to both parties.
[tex]$$\begin{aligned}& x^2+y^2+-x^2=36+-x^2 \\& y^2=-x^2+36\end{aligned}$$[/tex]
Take the square root in step two.
[tex]$$y=\sqrt{-x^2+36} \text { or } y=-\sqrt{-x^2+36}$$[/tex]
To learn more about quadratic equation refer to
https://brainly.com/question/1214333
#SPJ1
The relationship is a given algereaically as follows: B=3,000+800R match each part of this equation with the correct term LOS
Answer:
Step-by-step explanation:
3000 = vertical intercept
R = Independent variable
800 = slope
B= Depdendent variable
Explanation:
We need to remmber that a dependent variable is the variable that we want to predict with an indepedent variable
The independent variable is used in order to estimate the dependent variable.
Assuming linear relationship between B and R.
For this case we have a linear model given by:
If we compare this to the general lineal model given by:
Where y is the dependent variable, x the independent variable, m the slope and b the intercept.
We see on this case that:
3000 = vertical intercept
R = Independent variable
800 = slope
B= Depdendent variable
A bookstore has 4320 books and magazines. It has 2169 books. The rest are does the bookstore have? magazines. How many magazines
Answer: 2151 magazines
Step-by-step explanation: First subtract the whole number of books and magazines by the number of books and you'll find your answers.
Nena is going to ride her bicycle from the
city park to a nearby lake, a distance of
49 miles. She will ride at an average rate
of 14 miles per hour. What is the latest
Nena can leave the park in order to
arrive at the lake at 1:00 PM?
8:30 AM
9:00 AM
9:30 AM
D
10:00 AM
E 10:30 AM
A
B
C
Answer:
To solve this problem, we need to use the concept of distance, rate and time (D = R x T)
We know that the distance is 49 miles and the rate is 14 miles per hour.
We want to find the time T.
We can use the formula D = R x T, to find the time T:
T = D/R = 49 miles / 14 miles/hour = 3.5 hours
So it takes Nena 3.5 hours to ride from the city park to the nearby lake.
Now we know that she needs to arrive at the lake at 1:00 PM, so we have to work out what time she needs to leave the park. We can subtract the time T from the arrival time to find the departure time:
1:00 PM - 3.5 hours = 9:30 AM
Therefore, the latest Nena can leave the park in order to arrive at the lake at 1:00 PM is 9:30 AM
4x + 2y = -10 - 4x
solve the equation. show your work
Answer:
y= -5 - 4x
Step-by-step explanation:
4x + 2y = -10 - 4x
-4x -4x
2y = -10 - 8x
/2. / 2
y= -5 - 4x
22. Julianne works as a waitress. She carns $13 per hour plus tips.
a. Today she worked x hours. Express her pay for these hours algebraically.
b. She served nine tables. The total bill for these nine tables was y dollars.
Julianne received 18% in tips from these bills, Express the amount she
received in tips algebraically.
c. Express Julianne's total earnings for the day algebraically.
a. To express Julianne's pay for these x hours algebraically, you would use the equation: pay = 13x + tips
b. To express the amount Julianne received in tips algebraically, you would use the equation: tips = 0.18y
c. To express Julianne's total earnings for the day algebraically, you would add her pay (13x) to the amount of tips she received (0.18y) to get the equation: total earnings = 13x + 0.18y.
How to solve the given equation?a. Julianne earns $13 per hour plus tips, so her pay for working x hours can be expressed algebraically as pay = 13x + tips. This equation means that her pay is equal to $13 multiplied by the number of hours she worked, plus any additional tips she received. The variable "x" represents the number of hours she worked, and "tips" represents the additional money she earned from tips.
b. Julianne received tips from serving 9 tables, and the total bill for these tables was y dollars. We can express the amount she received in tips algebraically as tips = 0.18y. This equation means that the amount of tips she received is equal to 18% of the total bill for the 9 tables, represented by the variable "y". The 0.18 represents 18% in decimal form.
c. To find Julianne's total earnings for the day, we need to add her pay (13x) to the amount of tips she received (0.18y). This can be expressed algebraically as total earnings = 13x + 0.18y. This equation means that her total earnings for the day is equal to her pay for working x hours plus the amount of tips she received. The variable "x" represents the number of hours she worked, the variable "y" represents the total bill for the nine tables, and the product of 0.18 * y represents the amount she received as tips.
To know more about equation visit:
https://brainly.com/question/14686792
#SPJ1
Coach trainer timed his athletes running 40 yard dash. The fastest time was 4.58 and the difference between the slowest and fastest time was 1.17 seconds. Find the slowest time.
The slowest time of the 40 yard dash is given by the equation A = 3.41 sec
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the slowest time be represented as A
Now , the equation will be
Let the total length of the yard = 40 yard dash
Let the fastest time be represented as F
The value of F = 4.58 seconds
The difference between the fastest and the slowest time = 1.17 seconds
Substituting the values in the equation , we get
Fastest time - slowest time = 1.17 seconds
So ,
4.58 - A = 1.17
On simplifying the equation , we get
Adding A on both sides of the equation , we get
A + 1.17 = 4.58
Subtracting 1.17 on both sides of the equation , we get
A = 4.58 - 1.17
A = 3.41 seconds
Therefore , the value of A is 3.41 seconds
Hence , the equation is A = 3.41 seconds
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
What is the measure of one exterior angle of a 15-sided regular polygon?
O 12 degrees
O 168 degrees
O24 degrees
O 156 degrees
Answer:
24°
Step-by-step explanation:
For an n-sided regular polygon, the sum of internal angles = (n-2)×180°
Since all internal angles are equal, the internal angle can is given as:
Here, it is given that the polygon has 15 sides.
So n = 15
So each internal angle is 156°.
Internal and external angles are always supplementary. So the sum of the internal and external angles is 180°.
So external angle = 180° - 156° = 24°.
The measure of each external angle is 24°.
The user manual for Layla's phone notes that the device can be damaged
when operated at temperatures below -20°C and above 45°C. Layla wants to
know what these ranges are in degrees Fahrenheit and writes these
inequalities to rewrite the relationship where F is degrees Fahrenheit.
(F32) < -20 or (F32) > 45
Which statement best describes the temperature ranges Layla should avoid
while using her phone?
OA. Layla should avoid using her phone in temperatures below 21°F
and above 57°F.
OB. Layla should avoid using her phone in temperatures above -4°F
and below 113°F.
OC. Layla should avoid using her phone in temperatures below -4°F
and above 113*F.
OD. Layla should avoid using her phone in temperatures above 21°F
and below 57°F.
In temperatures between -4°F and 113°F, Layla should refrain from using her phone.
Which of the following best sums up the temperature ranges Layla ought to stay away from when using her phone? In temperatures between -4°F and 113°F, Layla should refrain from using her phone.Maintaining your smartphone's working temperature between 0° and 35° C (32° to 95° F).The device may behave differently at lower or higher temperatures.(-4° to 113° F) for storage between -20° and 45°When temperatures exceed specified thresholds, stay out of parked cars and out of the sun.The recommended temperature range for users' devices is between -4 and 113 degrees Fahrenheit, according to their manufacturers.If you go lower, the phone might freeze; if you go higher, you run the risk of lasting harm.Most smartphones are built to operate between 32 and 95 degrees Fahrenheit.Apple Watches fall within this temperature range as well.To learn more about temperatures refer
https://brainly.com/question/24746268
#SPJ1
A company wants to decrease their by 15% if there bill is 2,700 a month, what will the bill be if they are successful?
Answer: 2295 a month
Step-by-step explanation:
Now 15% of 2700 should be reduced from 2700, you should find how much 15% is in money form.
Use this way if you are allowed to use a calculator:
straight-away multiply 15% (you should include the percentage sign when entering the values if u are using the calculator) from 2700. Then the value you get is 405 (it is the money that this company wants to reduce from their bills)The next step is subtracting that value (405) from the bills (2700) of the company. Then the final answer is 2295.15% x 2700= 405
next: 2700- 405= 2295
Use this way if you are not allowed to use the calculator:
You should convert the percentage value to a fraction in order to make it much easier to multiply it with the bill's value. So it is very easy as we always divide the value presented as a percentage by 100. So the fraction of 15% is [tex]\frac{15}{100}[/tex].next just multiply it ([tex]\frac{15}{100}[/tex]) by the value of the bill(2700) in order to get the amount that this company wants to reduce from their bill. And then the value you will get is 405, make sure to subtract it from the bill value given in the question. So that is when you get the final answer (2295)[tex]\frac{15}{100}[/tex] × 2700= 405
therefore; 2700- 405= 2295
Anthony ordered two pizzas for a party. One was a small pepperoni pizza with a radius of 5 inches (5in.), and the other was a large cheese pizza with a 7in. radius. The circumference of the larger pizza is how much longer than the circumference of the smaller pizza?
The circumference of a circle is C=2πr.
Use π≈3.14 for the calculations.
Round your answer to the nearest hundredth.
The circumference of the larger pizza is 12.56 longer than the smaller pizza.
What is circumference?The length around the circle or the perimeter of the circle is called its circumference.
Given that, Anthony ordered two pizzas for a party. One was a small pepperoni pizza with a radius of 5 inches, and the other was a large cheese pizza with a 7 in. radius.
We need to find how much longer than the circumference of the smaller pizza,
We know that,
Circumference of a circle = 2πr.
Therefore,
Circumference of the larger pizza = 2 × 3.14 × 7 = 43.96 in
Circumference of the smaller pizza = 2 × 3.14 × 5 = 31.4 in
Therefore,
Subtracting the circumference of smaller pizza from larger pizza to get the difference = 43.96 - 31.4 = 12.56 in
Hence, the circumference of the larger pizza is 12.56 longer than the smaller pizza.
Learn more about circumference, click;
https://brainly.com/question/4268218
#SPJ1
Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
a 3x=9
b 3x=1
c 11x=9
d 11x=1
Answer:
b [3x = 1]
Step-by-step explanation:
7x + 4 = 5 + 3x + 1x
Combine like terms:
7x + 4 = 5 + 4x
Subtract 4 from both sides:
7x = 1 + 4x
Subtract 4x from both sides:
[3x = 1]
the area of rectangular ballroom is 800m2 and perimeter is 120
find the dimension
The ballroom is 40m by 20m
just think of numbers that times together to get 800 and then check if the perimeter is right.
How to find the dimension?A rectangular ballroom has two dimensions: length and width,
The perimeter is the sum of all the sides of the rectangle,
P=L+LW+W=2L+2W
The area is the product of these two dimensions,
A=L,W
We know that the perimeter is 120m and the area is 800m². Replacing in the equations above, we have two equations with two variables L and W,
120=2L+2W
=800LW
Solve the first equation for W. Subtract 2L from both sides,
120-2L=2L-2L+2W
120-2L=2W
And divide both sides by 2,
120-2L/2=2W/2
60-L=W
The next step is to replace W by this expression in the second equation,
800=L(60-L)
Now we have to solve this equation for L. Apply the distributive property on the right side of the equation,
To learn more about dimension refers to;
https://brainly.com/question/29184478
#SPJ1
Someone please help I’ll give good points for help !!! And explain please
40 POINTS TO WHOEVER ANSWERS THE WHOLE THING!!
The distance between Jordan's house and his school is 5 units.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
Given that, a graph, showing the distance of Jordan's house and his school.
SInce, the given situation is making a right triangle,
The base and height of the triangle = 3 units and 4 units
We need to find the shortest distance of Jordan's house and his school.
Which is the hypotenuse of the triangle,
Let the distance be d,
Using Pythagoras theorem,
d = [tex]\sqrt{3^2+4^2}[/tex]
d = [tex]\sqrt{16+9}[/tex]
d = [tex]\sqrt{25}[/tex]
d = 5
Hence, the distance between Jordan's house and his school is 5 units.
Learn more about Pythagoras theorem, click;
https://brainly.com/question/21926466
#SPJ1
Please help me fast i'm in a hurry
how much of a radioactive kind of chromium will be left after 4 months if you start with 6080 grams and the half life is 1 months
The amount of chromium left after 4 months of decay is 380 grams.
What is the half-life of the element?The half-life of the element is defined as the time span in which the element grows or decays half of its whole composition of growth and decay.
Here,
Let y be the amount of decay for x months
y = 6080aˣ
Half-life
1 / 2 = a¹
a = 1/2 = 0.5
Now,
y = 6080[0.5]⁴
y = 380
Thus, the amount of chromium left after 4 months of decay is 380 grams.
Learn more about half-life here:
https://brainly.com/question/23091366
#SPJ1
A data set with whole numbers has a low value of 20 and a high value of 94 for seven classes
The 7 classes are provided in the frequency table.
What is a frequency table ?
A frequency table consists of the lists of items in a given data set and the number of times each item occurs in the data set and The number of times a particular data value occurs in a given data set is referred to as its frequency.
e.g.
A, A, A, B, B, B, B, C, C, D
Count the number of times each grade occurs in the above series. Yes, ‘A’ occurs thrice, ‘B+’ occurs four times, ‘C’ occurs twice, and ‘D’ occurs once. Now, according to the definition of frequency, we can note the frequency of each grade as follows:
Frequency of A = 3
Frequency of B = 4
Frequency of C = 2
Frequency of D = 1
Let us list the grades obtained by the students in the above example, in a frequency table. Table is in image.
Now,
Class width=94-20/7
=74/7
=10+4/7
class width=11
To know more about frequency table visit the link
https://brainly.com/question/28931302?referrer=searchResults
#SPJ1
What is the domain and range? Of f(x)1/4x+3?
The domain of the function f(x) = 1/4x + 3 is all real numbers except x = 0, since division by 0 is undefined.
The range of the function is all real numbers. For any real number x, f(x) = 1/4x + 3 will always produce a real number, so the range is (-infinity, +infinity).
Crickets can jump with a vertical velocity of up to 14 ft/s. what's The maximum height the cricket reaches
h(t)=-16t²+14t is the maximum height the cricket reaches.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Crickets can jump with a vertical velocity of up to 14 ft/s.
we need to find the maximum height the cricket reaches
h(t)=-16t²+v₀t+h₀
h of t equal to minus sixteen t square plus v not t plus h not.
v₀ is given as 14 and h₀ will be zero
h(t)=-16t²+14t
Hence, h(t)=-16t²+14t is the maximum height the cricket reaches.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
For one month diera calculated her home towns average high temperature
The answer for this question is Celsius for Fahrenheit.
The Formula for Converting TemperatureTo convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.
(50°F - 32) x.5556 = 10°C, for instance.
When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.
For instance, (30°C x 1.8) + 32 = 86°F'
Here are two useful charts that translate between F and C as well as between C and F.
How to calculate her home towns average high temperature?The temperature of f degrees Fahrenheit converted to degree Celsius.
(( f)=5/9 (f-32)
represent the temperature of f degrees Fahrenheit converted to degree Celsius.
The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.
So that means if the temperature is in Fahrenheit it will be converted to Celsius.
So that means the C(F) represents the Celsius temperature.
To learn more about Celsius temperature refers to;
https://brainly.com/question/30391112
#SPJ1
Complete Question -
For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?
Ill give whoever answers Brainiest!
The function that grows least quickly is
A. f(x)
What is an exponential function?Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of 3 main parts
a = the starting or initial value
b = the base function
x = the exponents
Considering the given problem, The base is what determines exponential growth or decay
The higher the base the more it will grow and the lesser the base the less quickly it grows
When the base is less than one we have exponential decay
Learn more about exponential function here:
https://brainly.com/question/29716012
#SPJ1
There are two words or phrases in this problem that tell you what operations will be in the algebraic expression. Choose the correct meaning for each.
Answer:I need to know what the phrases are.
Step-by-step explanation:
I can't answer this unless you do so.
A farmer owns a total of 10 acres of land. The land is separated into 4 2/3 equally sized sections. how many acres are in each section
Answer:
x=5/3Step-by-step explanation:
Let X represent the number of acres in each section[tex]4 = 10 \\ \frac{2}{3} = x[/tex][tex]4x = 10 \times \frac{2}{3} [/tex]
[tex]x = \frac{10}{4} \times \frac{2}{3} [/tex]
[tex]x = \frac{5}{2} \times \frac{2}{3} [/tex]
[tex]x = \frac{5}{3} [/tex]
find the 10th term of the geometric sequence whose common ratio 1/3 and whose first term is 3
Answer: 1/6561
Also could you mark my answer as brainliest? It helps and doesnt hurt
Your destination is 90 miles away in your fuel gauge shows that your gas tank is 1/4 for your tank holds 12 gallons of gas in your car averages about 25 mph. Do you need to stop for gas
The person doesn't need to stop for gas as the gas will be able to travel the journey.
How to calculate the value?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
Since the gas tank is 1/4 for your tank as it holds 12 gallons of gas. The full gas will be:
= 12 × 4
= 48 gallons
Since your destination is 90 miles away and it uses 25 mph. The number of hours will be:
= 90 / 25
= 3.6 hours.
The number of gallons needed will be:
= 3.6 × 12
= 43.2
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
30 points dont mind the other stuff just hurrry
Only table 1 represents the directly proportional relationship.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the tables representing proportional relationship.
TABLE - { 1 }We can write the slope as -
{m} = (- 4 + 3)/(- 2 + 1) = 1
The equation will be -
y = x
Remaining tables does not show the direct variation.
Refer to the graph attached.
Therefore, only table 1 represents the directly proportional relationship.
To solve more questions on algebraic expressions, visit the link below-
brainly.com/question/1041084
#SPJ1
Use distributive property to create and equivalent expression to 9x + 21
HELP ITS DUE WENSDAY
Answer:
[tex]3(3x+7)[/tex]
Step-by-step explanation:
[tex]9x=3(3x), 21=3(7) \implies 9x+21=3(3x+7)[/tex]
Then complete the following table using annually compounded interest.
Principal
Interest (6%)
New amount
Think About It
Year 1
$100.00
$6.00
Year 2
Year 3
Year 4
Year 5
Year 6
Answer:
106 bucks
Step-by-step explanation: