Answer:
$318.70
Step-by-step explanation:
To find the cost of one boxed lunch, we can divide the total cost of the 8 boxed lunches by the number of boxed lunches: 99.60 / 8 = $12.45.
To find the cost of 26 boxed lunches, we can multiply the cost of one boxed lunch by the number of boxed lunches: 26 * $12.45 = $<<26*12.45=318.70>>318.70. Answer: \boxed{318.70}.
Determine the intercepts for the graph of the linear equation.
\displaystyle -4 x+y=16−4x+y=16
Enter the xx-intercept as an ordered pair.
Preview
Enter the yy-intercept as an ordered pair.
The x-intercept has an ordered pair (-4, 0) and the y-intercept has an ordered pair(0,16).
What is meant by linear equation?In an alternative method, a linear polynomial over a field from which the coefficients are extracted is equalized to zero to produce a linear equation. The values that, when used as placeholders for the unknowns, result in the equality being true are the solutions to this kind of equation.
In this specific situation, where the variable is appropriately referred to as the unknown, the term "linear equation" frequently applies indirectly.
The Cartesian coordinates of a point on the Euclidean plane can be read as each solution in the case of two variables.
Given equation is:
-4x+y=16
For x-intercept, y=0
-4x+0=16
-4x=16
x= -4
The x-intercept has an ordered pair (-4, 0)
For y-intercept, x=0
-4(0)+y=16
y=16
The y-intercept has an ordered pair(0,16)
Therefore, The x-intercept has an ordered pair (-4, 0) and the y-intercept has an ordered pair(0,16).
To know more about linear equation, visit:
https://brainly.com/question/11897796
#SPJ1
2(x+6)+3x+4=
what it equals
Answer:
5x + 16
Step-by-step explanation:
First you have to distribute the 2 into the parentheses
2 times x is 2x
2 times 6 is 12
so now the equation is
2x + 12 + 3x + 4
add the 2x and 3x and that is 5
so now the equation is...
5x + 12 + 4
add 12 + 4 and that is 16
so now the answer is
5x + 16
1/3 as a percent
0.43 as a percent
2/17 as a percent
1.25 as a percent
All rounded to the nearest whole
Can someone help this please and thank you
distributive property
PLEASE HELP!!!!
its confusing
Determine the perimeter of the right triangle shown.
right triangle with vertices at negative 5 comma 3, negative 5 comma negative 2, and 7 comma negative 2
5 units
13 units
26 units
30 units
The perimeter of the right triangle shown is given by the following option:
39 units.
How to obtain the perimeter of a figure?The perimeter of a figure is composed by the sum of the lengths of the outer edges of the figure.
The sides of the right triangle in this problem are given as follows:
5, vertical side, as 3 - (-2) = 5.12, horizontal side, as 12 - (-5) = 17.Then, applying the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 5² + 17²
h = square root(5² + 17²)
h = 17.7.
The hypotenuse is the third side length of the triangle, hence it's perimeter is calculated as follows:
5 + 17 + 17 = 39 units.
(I suppose there was a typing mistake on the options).
More can be learned about the perimeter of a figure at https://brainly.com/question/397857
#SPJ1
Answer:
its D
Step-by-step explanation:
30
Let f(d)=-6d+54 represents the amount of firewood purchased and each night you burn six pieces of firewood. D = number of days and F = pieces of firewood. when will there be 36 pieces of firewood left?
Answers: a. end of first day B. End of second day C. end of third day D. End of fourth day
Answer: C. End of third day
Step-by-step explanation:
The question is asking when there will be 36 pieces left, so you start with the equation:
-6d + 54 = 36
Then, solve this equation:
-6d + 54 = 36
-6d = -18 (subtract 54 from both sides)
d = 3 (divide both sides by -6)
It will take 3 days until there are 36 pieces left, which is the end of the third day.
Your team wins 66 of 82 games. Is this proportional to 99 wins in 125 games?
If you think about this, we can figure out that 66 is 2/3 of 99. To find out what 2/3 of 125 is, we can divide 125 by 3.
So, no. This is not proportional.
If one amount is proportional to another, the two amounts increase and decrease at the same rate so there is always the same relationship between them.
The formula for a proportional equation is y = kx. The letters y and x are the variables in the equation. The letter k represents the constant of proportionality, which remains the same.
What is a proportional relationship example?
Now, we're going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we'll pay.
To learn more about proportional equation visit:
https://brainly.com/question/28730073
#SPJ1
Can you help me with this question.
If x+3y = 21 and xy = 22, find the value of x2 +9y2 and (x-3y)2
Answer:
[tex]x^2+9y^2=309[/tex]
[tex](x-3y)^2=177[/tex]
Step-by-step explanation:
Given equations:
[tex]\begin{cases}x+3y=21\\xy=22\end{cases}[/tex]
------------------------------------------------------------------------------------------
To find the value of x² + 9y², first rewrite 9 as 3²:
[tex]\implies x^2+3^2y^2[/tex]
[tex]\implies x^2+(3y)^2[/tex]
[tex]\boxed{\begin{minipage}{5cm}\underline{Sum of two squares}\\\\$a^2+b^2=(a+b)^2-2ab$\\ \end{minipage}}[/tex]
Apply the sum of two squares where:
a = xb = 3y[tex]\begin{aligned}\implies x^2+(3y)^2&=(x+3y)^2-2x(3y)\\&=(x+3y)^2-6xy\end{aligned}[/tex]
Substitute the given values of (x + 3y) and xy:
[tex]\begin{aligned}\implies (x+3y)^2-6xy&=21^2-6(22)\\&=441-132\\&=309\end{aligned}[/tex]
Therefore:
[tex]\boxed{x^2+9y^2=309}[/tex]
------------------------------------------------------------------------------------------
To find the value of (x - 3y)², expand:
[tex]\begin{aligned}\implies (x-3y)^2&=x^2-6xy+9y^2\\&=x^2+9y^2-6xy \end{aligned}[/tex]
Rewrite 9 as 3²:
[tex]\begin{aligned}\implies x^2+9y^2-6xy&=x^2+3^2y^2-6xy\\&= x^2+9y^2-6xy\end{aligned}[/tex]
[tex]\boxed{\begin{minipage}{5cm}\underline{Sum of two squares}\\\\$a^2+b^2=(a+b)^2-2ab$\\ \end{minipage}}[/tex]
Apply the sum of two squares to x² + 9y² where:
a = xb = 3y[tex]\begin{aligned}\implies x^2+9y^2-6xy&=(x+3y)^2-2x(3y)-6xy\\&=(x+3y)^2-12xy\end{aligned}[/tex]
Substitute the given values of (x + 3y) and xy:
[tex]\begin{aligned}\implies (x+3y)^2-12xy&=21^2-12(22)\\&=441-264\\&=177\end{aligned}[/tex]
Therefore:
[tex]\boxed{(x-3y)^2=177}[/tex]
of the guests at a charity fundraiser, 180 own both a house in the hamptons and a house in palm beach. if not every guest at the fundraiser owns a house in either the hamptons or palm beach, what is the ratio of the number of people who own a house in palm beach but not in the hamptons to the number of people who own a house in the hamptons but not in palm beach? (1) one-half of the guests own a house in palm beach. (2) two-thirds of the guests own a house in the hamptons.
"NOT EVERYONE who attended ratio the fundraiser owned a home in the Hamptons or Palm Beach."
What is statement type questions?
In research, a statement of the problem is used as a claim that outlines the problem addressed by a study. The problem statement answers the question briefly: What is the problem that the research will address? What are the objectives of a problem statement?
Consider the following diagram in the attachment (12) for both statement
H = the number of people who owned a home in the Hamptons but did not own a home in Palm Beach.
P = the number of people who owned a home in Palm Beach but did not own a home in the Hamptons.
N = the number of people who did not own a home in Palm Beach or the Hamptons.
Union = H+P+180 Universal = H+P+180 + N P/H =??
Statement 1: (P+180) / (H + P + 180 + N) = 1/2 Inadequate
Statement 2: (H+180) / (H + P + 180 + N) = 2/3 Inadequate
1 and 2 statements
Solve for H and P to find P/H; however, N cannot be eliminated.
This is insufficient.
We should find the ratio of red boxes, however with the information provided, this is impossible.
"NOT EVERYONE who attended the fundraiser owned a house in the Hamptons or Palm Beach.".
To learn more about Ratio visit:
brainly.com/question/13419413
#SPJ4
Help thank you so much
The inequality - 3x - 6 ≤ 12 represents a close circle at x = - 6 and will extend to infinity which is (C) the third line.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
The given inequality is - 3(x + 2) ≤ 12.
- 3x - 6 ≤ 12.
- 3x ≤ 12 + 6.
- 3x ≤ 18.
3x ≥ - 18.
x ≥ - 6.
This will be represented by a close circle at x = - 6 and will extend to infinity.
learn more about inequalities here :
https://brainly.com/question/28823603
#SPJ1
Kyra walks 4m East, 2 meters South, 4 meters West, and finally 2 meters North.
Answer:
I think she is forming a letter but not so sure. I don't understand your question. Sorry
What is the breadth of perimeter=50 ft and Length=15ft
Answer:
Breadth = 10 ft
Step-by-step explanation:
Given information,
→ Perimeter (P) = 50 ft
→ Length (L) = 15 ft
→ Breadth (B) = ??
Now we have to,
→ find the required value of Breadth.
Formula we use,
→ P = 2(L + B)
Then the required Breadth will be,
→ P = 2(L + B)
→ 50 = 2(15 + B)
→ 30 + 2B = 50
→ 2B = 50 - 30
→ B = 20/2
→ [ B = 10 ft ]
Hence, required Breadth is 10 ft.
How long will it take for $500 to get to $50 simple interest at rate of 9.5%
Answer:
Step-by-step explanation:
Given:
Simple Interest = $50
Principal Amount= $500
Rate of Interest = 9.5%
Find:
Time=?
The formula for Simple Interest is
I=PRT
{I=Simple Interest
P=Principal amount
R=Rate of Interest
T=Time}
To find out the time for the simple interest to get to $50:
Acc. to the formula T=I/PR
i.e., T=50/(500*9.5/100)
T=100*50/500*9.5
T=100/95
T=1.05 years
Therefore, it will take 1.05 years to get a simple interest of $50 at a rate of 9.5% for a principal amount of $500.
20 POINTS!
Given the equations 2x-3y=-6 and x+3y+-12, solve for x and y by substitution, elimination, and graphing.
The solution of the set of equation 2x-3y=-6 and x+3y+-12 is (-6,-2).
What is Substitution, Elimination and Graphing methord of solving Equation?By Substitution Method:
1. Resolve ONE of the x or y equations. If one of the equations has previously been solved for x or y, this step can be avoided.
2. Substitute the outcome for that variable in the other equation.
3. Either all x terms or all y terms will now make up the new equation. Fix the variable's place in the equation.
4. To obtain the alternative answer, plug the solution back into the beginning equation (the one you used to solve for x or y).
When using the Elimination method,
start by aligning the x- and y-coordinates on the same side of the equation.
2. Whichever you decide to remove, find a common multiple for the Xs OR the Ys.
3. To enable the addition of the equations, make one of those multiples negative.
4. One of the variables will be removed when the equations are combined. Give the variable that is still present its final solution.
5. To determine the other number, enter your response from step four into either of the equations.
Graphing a solution:
1. Rewrite the initial y equation in the form y = mx + b a. Step 2 can be immediately followed if the line has previously been solved for y.
2. Draw a line to represent the first equation.
3. Apply the second equation to steps 1 and 2 as before.
4. The intersection of the two lines represents the system's solution. There are infinitely many solutions if the lines match. There are no solutions if the lines are parallel and do not intersect.
Substitution methord,
The equations are
2x -3y = -6
⇒ x = 3/2y - 3.
Putting this value in the second equation we get,
(3/2)y - 3 + 3y = -12
⇒(9/2)y = -9
⇒y = -2.
Therefore,
x = (3/2)y - 3 = (3/2)(-2) - 3 = -6
x = -6, y = -2.
By Elimination Methord ,
2x- 3y = -6
x + 3y =-12
simply adding both equation we get,
3x = -18
x = -6.
and y = -2
For graphical methord plot both lines in the graph then find the point where they intersect it will be (-6,-2).
To learn more about System of Linear equation refer to :
https://brainly.com/question/3060334
#SPJ1
In one design being considered for the container shaped like a cylinder, the container will have a height of 12 inches. What will be the radius of the container, to the nearest tenth of an inch?
The amount of space occupied by a three dimensional figure as measured in cubic units. The radius of container is 2.6 inch.
What is volume?Formula for the volume of cylinder
π r² h
where're is the radius .h is the height
According to the given question
shape of the container is cylindrical.
Height of the container, h = 12 inches
Volume of container = 258.75 cubic inches
for the radius of the container
volume of container =
258.75 = 3.14××12
258.75 =37.68×
⇒ = 2.6 inch
Hence, the radius of container is 2.6 inch.
To learn more about radius of container refer
https://brainly.com/question/20297578
#SPJ1
1. Square the binomial (p + q). What is the result?
Op²+q²
Op²+2pq+q²
Op² + pq+q²
2p+2q
Answer: p²+2pq+q²
Step-by-step explanation:
squaring a binomial works like this:
(p+q)² = (p+q)(p+q)
try the FOIL method: multiply the first, outside, inside, and last numbers/variables to distribute properly
F: (p)(p) = p²
O: (p)(q) = pq
I: (q)(p) = pq
L: (q)(q) = q²
then add them all together
q²+pq+pq+q²
and combine like (identical) terms
q²+2pq+q²
it's 2pq because they're being added, not multiplied.
hope this helps!
Use the formula y = mx + b and use point slope form to write an equation for a line given with the given information.
Either the slope intercept form or the point-slope form can be used to express the equation of a line-, the line's equation is - 3x - 5.
What is Slope?A line's steepness and direction are measured by the line's slope.
Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two distinct points on a line can be used to calculate the slope of any line.
The ratio of "vertical change" to "horizontal change" between two different points on a line is calculated using the slope of a line formula.
According to our question-
the points are given as
(x1,y1)=0,-5
(x2,y2)=-3,4
m = y2-y2/x2-x2
Hence, the line's equation is - 3x - 5.
learn more about slope click here:
https://brainly.com/question/16949303
#SPJ1
what is the slope of the line that passes through the points (-7,-2) and (-15,-14) write your answer in simplest form
Answer:
3/2
Step-by-step explanation:
slope = m = change in y/change in x OR y2-y1/x2-x1
change in y: -14 - -2= -12 (or -14 + 2, because two negatives make a positive)
change in x: -15- -7 = -8 (or -15+ 7 due to two negatives making a postive)
slope = -12/-8 = 3/2
Which system is represented in the graph?
Given graph is satisfied by System A.
What is inequality?Inequality refers to formulas or equations that define relationships (such as less than, larger than, etc.).
As for Type 1:
Consider the location (3,1) for y>2x.
1 > 6, which is false Hence Since the area opposite point (3,1) will satisfy the equation and since y > 2x and not y 2x, a dotted line will be drawn on the graph.
Consider (-3, -4) for x + 2y -8.
⇒ -3 + 2(-4) ≤ -8
Since x + 2y -8 and not x + 2y -8 is the correct equation, the area containing the points (-3, -4) will be included, and the line of the graph will be solid.
The presented figure is formed by these two equations.
Therefore, System A is accurate.
The Complete Question is inequality.
To Learn more About System A refer to:
https://brainly.com/question/27927692
#SPJ1
Solve 9(2x−8)−2(4x−19)=26 .
n divided by 6 equals 42 please explain
The value of n when is divided by 6 and it gives 42 is 252
What is division?Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division and 12 divided by 4 gives 3 in each group. This means that 3 and 4 are factors of 12
When dividing a number by another number that is not it's factor, there will be remainder for example 12 divided by 5 . It will give 2 remainder 2. This is because 5 is not a factor of 12.
Similarly, n divided by 6 to give 42. This means that 42 and 6 are factors of n
Therefore to find n we multiply 42 and 6.
n = 42×6
n = 252
therefore the value of n is 252
learn more about division from
https://brainly.com/question/28119824
#SPJ1
Describe the association between the two sets of data in the scatter plot.
A. Positive linear
B. Negative linear
C. Nontinear
D. Strong linear
Answer:
C) nonlinear
Step-by-step explanation:
Answer:
C = nonlinear is the answer
I NEED HELP!!!! Use the graph of the polynomial equation y=x^4-10x² + 16 to describe its concavity. How many points of inflection does this curve have?
Points of inflection does this curve have is:
Concave Up: [tex]$\left(-\infty,-\sqrt{\frac{5}{3}}\right),\left(\sqrt{\frac{5}{3}}, \infty\right)$[/tex]
Concave Down: [tex]$\left(-\sqrt{\frac{5}{3}}, \sqrt{\frac{5}{3}}\right)$[/tex]
Points of Inflection: [tex]$(-1.2910,2.1111),(1.2910,2.1111)$[/tex]
To find the concavity of a function?
We need to take the second derivative.
y' = 4x^3 - 20x
y'' = 12x^2 - 20
Finding the points of inflection involves setting the second derivative equal to 0. Add 20 over, divide by 12, and take the square root. The positive and negative square roots of 5/3 are the potential points of inflection.
Setting up a number line can help to determine concavity. Let's plug in -2 into the second derivative. From this, we have found that from negative infinity to the negative square root of 5/3, the graph is concave up, as f''(-2) > 0. f''(0) < 0, so from the negative square root of 5/3 to the positive square root of 5/3, the graph is concave down. f''(2) is also > 0, and therefore from the positive square root of 5/3 to infinity, the graph is concave up.
Since the graph shifted direction at both potential points of inflection, they are both actually points of inflection. To find the y-values for each point of inflection, plug the x-value back into the original polynomial equation.
To learn more about polynomial equation visit:https://brainly.com/question/25958000
#SPJ1
In the first week of July a record 1,120 people went to the local swimming pool in the second week 125 fewer people went to the pool than in the first week in the third week 130 more people went to the pool than in the second week in the fourth week 229 fewer people went to the pool than in the third week what is the percent decrease in the number of people who went to the pool over these four weeks
There is 20% decrease in the number of people who went to the pool over these four weeks.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.
Attendance of pool in first week of July = 1120
In second week, 125 fewer people joined.
Thus, attendance in second week is = 1120-125 = 995
In third week, 130 more people joined.
Thus, attendance in third week is = 995+130 = 1125
In fourth week, 229 fewer people joined.
Thus, attendance in fourth week is = 1125-229 = 896
Difference of attendance in first and fourth week = 1120-896 = 224
Percentage decrease = (Decrease number/Initial number)×100%
= (224/1120)×100%
= 0.20×100%
= 20%
Thus, there has been a 20% decrease over the four weeks.
To know more about percentages visit:
brainly.com/question/16797504
#SPJ1
Please reply urgent I need it now
step by step
Answer:
x ≥ 5
Step-by-step explanation:
5 + 2 (2x - 3) ≥ 3x + 4
5 + 4x - 6 ≥ 3x + 4
-1 + 4x ≥ 3x + 4
4x ≥ 3x + 5
x ≥ 5
A + B + C = 12
4A - 4B + 2C = -16 -
3A + 3B - C = 4
Solve the system
Answer:
Step-by-step explanation:
Add them all together which is
ABC124A4B2C-16-3A3B-C yep
A number, d, is increased by 73% to give
4152.
Work out the original value of d.
Answer:
2400
Step-by-step explanation:4152 is just 173% of d.
We create an equation d = 4152/1.73
after solving you get 2400.
Ron refills the oil in his car using a funnel. The upper rim of the funnel has a diameter of 8 inches. What is the rim's radius?
4 inches is the rim's radius
What is the rim's radius?The formula for finding the radius of a circle is r=d/2, where r is the radius and d is the diameter.The diameter of the funnel rim is 8 inches, so the radius is 8/2 = 4 inches. This can also be expressed as a mathematical equation as follows: r = 8/2 or r = 4. The radius of a circle is the distance from the center of the circle to its circumference.It is a measure of the size of the circle, and is used to calculate the area of a circle using the formula A = πr², where A is the area and r is the radius.The radius of the funnel rim is 4 inches, so the area can be calculated using the equation A = π(4)² = 16π. The radius is an important part of understanding the size and shape of a circle. When refilling oil in a car, a funnel with a larger radius can help to increase the flow of the oil.The radius of the funnel should be large enough to allow the oil to flow easily but not so large that it causes a mess. Refilling oil in a car using a funnel with a radius of 4 inches should provide ample flow of oil without.To learn more about the radius of a circle refer to:
https://brainly.com/question/26215003
#SPJ1
Given ab, and c is not parallel to a or b, which statements
must be true?
Select each correct answer.
O
□m/4=m/8
m/8=m/9
m/2=m/7
m/7=m/10
a
C
1/2
3/4
5/6
7/8
9/10
11/12
