Answers
Therefore Bill will be able to stay 8 days in his vacation.
Given:
Money Bill saved = $3500
Expenditure for plane tickets = $816
Expenditure per day for hotel = $125
Expenditure per day for food = $100
Expenditure per day for sightseeing = $95
Let the no of days Bill can stay be x.
Therefore,
Expenditure for x days for hotel = $125x
Expenditure for x days for food = $100x
Expenditure for x days for sightseeing = $95x
Therefore according to the question:
125x + 100x + 95x + 816 = 3500
=> 320x = 3500 - 816
=>x =8.3
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Related Questions
A pool can be filled by one pipe in 6 hours and by a second pipe in 3 hours. How long will it take using both pipes to fill the pool?
Answers
Answer:
2 Hours
Step-by-step explanation:
Hope this helps you.
Tell me if I'm incorrect so I can see what I can do
explain how I get 1.2 from multiplying 4×0.3
Answers
To multiply 4x0.3 you need to multiply as if there is no decimal, 4x3=12
Then you count the number of digits after the decimal and put the same number of digits behind the decimal in the product.
Because 0.3 has just one number behind the decimal and there is only 1 number after the decimal it would be 1.2
I need helpp this is geometry
Answers
Answer:
x = 8
AB = 1
BC = 1
Step-by-step explanation:
AB = BC when
[tex]\dfrac{3}{4}x - 5 = \dfrac{9}{4}x - 17[/tex]
In the above equation bring all the x terms to the left and the constants to the right as follows
Add 5 on both sides:[tex]\dfrac{3}{4}x - 5 + 5 = \dfrac{9}{4}x - 17 + 5\\\\\dfrac{3}{4}x = \dfrac{9}{4}x - 12 \\\\\\[/tex]
Subtract [tex]\dfrac{9}{4}[/tex] on both sides:
[tex]\dfrac{3}{4}x - \dfrac{9}{4}x = - 12 \\\\\\[/tex]
[tex]-\dfrac{6}{4}x = -12\\\\\\-\dfrac{3}{2}x = -12\\\\[/tex]
Multiply both sides by [tex]-\dfrac{2}{3}[/tex]:
[tex]-\dfrac{2}{3} \times -\dfrac{3}{2}x = -\dfrac{2}{3} \times -12\\\\x = 8\\\\\\[/tex]
Since x = 8 we can solve for the lengths of both segments by plugging in the value in the two expressions
[tex]AB = \dfrac{3}{4} \times 8 - 5\\\\AB = 6 - 5 = 1\\\\BC = \dfrac{9}{4} \times 8 - 17\\\\BC = 18 - 17 = 1\\\\[/tex]
So AB = BC = 1
Answer:
x = 8 , AB = BC = 1
Step-by-step explanation:
we require
AB = BC , that is
[tex]\frac{3}{4}[/tex] x - 5 = [tex]\frac{9}{4}[/tex] x - 17
multiply through by 4 to clear the fractions
3x - 20 = 9x - 68 ( subtract 9x from both sides )
- 6x - 20 = - 68 ( add 20 to both sides )
- 6x = - 48 ( divide both sides by - 6 )
x = 8
Then
AB = [tex]\frac{3}{4}[/tex] × 8 - 5 = 6 - 5 = 1
BC = [tex]\frac{9}{4}[/tex] × 8 - 17 = 18 - 17 = 1
so AB = BC
2. The formula for passing efficiency P in NCAA football is P8.4Y+330T+100C-200/Awhere Y isthe number of passing yards, T is the number of passing touchdowns, C is the number ofcompleted passes, I is the number of interceptions, and A is the number of attempts. Write anequation that will calculate the completed passes for a quarterback with a givenefficiency, number of passing yards, number of passing touchdowns, number of interceptions,and number of attempts. Show your work.
Answers
Okay, here we have this:
Considering the provided information and equation, we are going to find an equation that will calculate the completed passes, so we obtain the following:
Then from the given equation we will solve for C and the resulting equation will be the one we are looking for, then we have:
[tex]\begin{gathered} P=\frac{8AY+330T+100C-200I}{A} \\ PA=8AY+330T+100C-200I \\ PA-8AY-330T+200I=100C \\ C=\frac{PA-8AY-330T+200I}{100} \end{gathered}[/tex]The above equation is the one we are looking for, and it will calculate the completed passes for a quarterback with a given efficiency, number of passing yards, number of passing touchdowns, number of interceptions, and number of attempts.
PLEASE I REALLY NEED HELP! Which statement is false about the graph of the exponential function f(x)? A) The X-intercept is 1. B) The range is all real numbers.C) As X decreases without bound, f(x) increases without . D) As x increases without bound, f(x) approaches, but never reaches -1 . E) The f(x)-intercept is 3.F) The domain is all real numbers.
Answers
From the graph, we can see that
A) True
B) False. The range goes from -1 to +infinity.
C) True
D) True
E) False, the f(x) -intercept is 1.
F) True.
The y-intercept and x-intercepts are:
Find the slope of the line containing the pair points. (1,0) and (5,-1)
Answers
To find the slope we can use the formula so:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]now we can replace the coordinates so:
[tex]m=\frac{-1-0}{-1-5}=\frac{-1}{-6}=\frac{1}{6}[/tex]MODELING REAL LIFE A public university charged $9500 for tuition and fees in the 2015–2016 academic year. This cost increased at a constant rate and reached $10,500 in the 2020–2021 academic year. Estimate the cost of tuition and fees in the 2024–2025 academic year. The cost of tuition and fees in the 2024–2025 academic year is about $\$$ .
Answers
The cost of tuition and fees in the 2024–2025 academic year is about the amount of $11,300.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
As per the given information, take two points as
(9500, 0)
(10,500, 5)
Here 2015–2016 academic year is represented as zero
So the linear equation model would be
y - 9500 = [(10,500 - 9500) / (5-0) ](x - 0)
y - 9500 = (1000/5)x
y = 200x + 9500
So the cost of tuition and fees in the 2024–2025 academic year:
Here 2024–2025 academic year is represented as nine,
Substitute the value of x = 9 in the linear equation model y = 200x + 9500
y = 200(9) + 9500
y = 1800 + 9500
y = 11,300
Thus, the cost of tuition and fees in the 2024–2025 academic year is about $11,300.
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Plato please help!!
Which statement correctly describes the graph of g(x)=f(-x)+8
Answers
Answer:
D
Step-by-step explanation:
hopes this helps please mark brainliest
Priya has completed 9 exam questions. This is 60% of the questions on the exam. Use x as your variable. Write an equation representing this situation. ____ What does your variable mean in terms of this situation in the equation you wrote? ____ How many questions are on the exam? _____
Answers
Let x be the total number of questions.
Since we know that 60% is equal to 9 questions of the exam we have the equation:
[tex]0.6x=9[/tex]where, as we stated above, x represents the total number of questions.
Solving for x we have:
[tex]\begin{gathered} \text{0}.6x=9 \\ x=\frac{9}{0.6} \\ x=15 \end{gathered}[/tex]therefore the exam has 15 questions.
Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4
sodas for $8.50. How much would an order of slice of cheese pizza and 3 sodas cost? 3
O $3.25
• $5.25
• $7.75
• $17.25
Answers
Cost of 1 slice of pizza and 3 sodas = $5.25
What is Linear Programming?When the requirements of a mathematical model are represented by linear relationships, the best result can be obtained using a technique known as linear programming (LP), also known as linear optimization. A particular type of mathematical programming is linear programming. Formally speaking, linear programming is a method for optimising a linear objective function under the constraints of linear equality as well as linear inequality. Convex polytopes, a set defined as that of the intersection of a finite number of half spaces, which are defined by a linear inequality, make up its feasible region. A real-valued affine (linear) function defined on the this polyhedron serves as its objective function. If there is a point in the polytope in which this function does have the smallest (or largest) value, a linear programming algorithm locates it.
Let the cost of 1 slice of pizza be x and cost of 1 soda be y.
Now,
Richard bought 3 slices of pizza and 2 sodas for $8.75
Therefore, [tex]3x+2y=8.75[/tex]
Jordan bought 2 slices of pizza and 4 sodas for $8.50
Therefore, [tex]2x+4y=8.50[/tex]
Solving above equations, we get [tex]x=2.25[/tex] and [tex]y= 1[/tex].
Cost of 1 slice of pizza and 3 sodas = 2.25 + 3*1
= 2.25 + 3
= 5.25
Hence, Cost of 1 slice of pizza and 3 sodas = $5.25
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What is the change in temperature? Simplify the expression. -5-(-1) =
Answers
we have the following:
[tex]-5-\left(-1\right)=-5+1=-4[/tex]therefore, the answer the change in the temperature is -4
A Chick-o-stick is the inside of a Butterfingermade into a cylinder. A Chick-o-stick has adiameter of 1.8 cm and a height of 9.6 cm, ifwe were to cover it in chocolate, how mucharea needs to be covered?
Answers
It is given that the diameter is 1.8 cm so the radius is 0.9 cm
It is also given that the height is 9.6 cm.
It needs to be covered in chocolate so the surface area of the cylinder needs to be calculated.
The surface area of the cylinder is given by:
[tex]A=2\pi\times r(r+h)[/tex]Substitute the values to get:
[tex]\begin{gathered} A=2\times\pi\times0.9(0.9+9.6) \\ A=59.3761cm^2 \end{gathered}[/tex]Hence the area of chocolate required is 59.3761 square centimeters.
Boone High School is holding a fundraiser and plans to use 2/3 of the money collected to build a new library of the money directed towards building the new library 3/4 will go towards purchase and computers what fraction of the money raised will go towards purchasing computers for the library
Answers
Given that Boone High School is holding a fundraiser and plans to use:
• 2/3 of the money collected to build a new library.
,• of the money directed towards building the new library, 3/4 will go towards purchase and computers.
,• We want to know what fraction of the money raised will go towards purchasing computers for the library.
In other words, we want to know what 3/4 of 2/3 is.
Let x be 4/3 of 2/3
Then
[tex]\begin{gathered} x\text{ = }\frac{4}{3}\text{ }\times\frac{2}{3} \\ =\text{ }\frac{8}{9} \end{gathered}[/tex]Therefore, the fraction of the money raised will go towards purchasing computers for the library is 8/9
-3n = 6n = ???I need help
Answers
Ashley has sold 70% of the candy bars she’s supposed to sell for her softball team . How many candy bars does she have left to sell
Answers
Answer:
70%of 20 is 14 so it is 6
Step-by-step explanation:
20-14=6
What size apartment should she expect And what is the monthly rent for 1,500 sq ft
Answers
5.
The given linear regression is
[tex]y=0.775x+950.25[/tex]Where x represents the square footage of the apartment and y represents the monthly rental price
Grace can afford $1500 per month rent
This implies
y = $1500
Substitute y = $1500 into the linear regression
This gives
[tex]1500=0.775x+950.25[/tex]Solve the equation for x
[tex]\begin{gathered} 1500-950.25=0.775x \\ 549.75=0.775x \\ x=\frac{549.75}{0.775} \\ x=709.25 \end{gathered}[/tex]Therefore,
The size of the apartment is 709.25 square footage
The product of -13 and the difference of c and d
Answers
The text mentions a product of two terms and a subtraction. The first term is the number - 13 times the difference of c and d. As a mathematical expression, this would be
[tex](-13)\times(c-d)[/tex]Expanding this expression using the distributive rule, we have
[tex]\begin{gathered} (-13)\times(c-d) \\ =-13c+13d \end{gathered}[/tex]In an athletics team there are 60 members. 24 of them are girls. What percentage are girls?
Answers
To determine the percentage of girls on the team, you have to divide the number of girls by the total members of the team and multiply the result by 100:
[tex]\frac{nº\text{girls}}{nº\text{members}}\cdot100=\frac{24}{60}\cdot100=0.4\cdot100=40\%[/tex]The percentage of girls on the team is 40%
The ratio of pencils to pens in the drawer is 5:15. If there are
actually twice that many pencils, how many pencils and pens are
there in the drawer?
A. 5 pens, 15 pencils
B. 5 pencils, 15 pens
C. 10 pencils, 30 pens
D. 10 pens, 30 pencils
Answers
Answer:
D
Step-by-step explanation:
It says twice as many so just multiply the ratio by two. That means its 10 pens and 30 pencils.
12.y- 7=4(x +4)15.y +5 =-5(x-3)18.y + 11=1/3(X+3)
Answers
the equation in the standard form is Ax + By = C
12.
[tex]\begin{gathered} y-7=4\mleft(x+4\mright) \\ y-7=4x+16 \\ y-7+7=4x+16+7 \\ y=4x+23 \\ y-4x=4x-4x+23 \\ -4x+y=23 \end{gathered}[/tex]15.
[tex]\begin{gathered} y+5=-5(x-3) \\ y+5=-5x+15 \\ y+5-5=-5x+15-5 \\ y=-5x+10 \\ 5x+y=10 \end{gathered}[/tex]18.
[tex]\begin{gathered} y+11=\frac{1}{3}(x+3) \\ y+11=\frac{1}{3}x+1 \\ y+11-11=\frac{1}{3}x+1-11 \\ y=\frac{1}{3}x-10 \\ -\frac{1}{3}x+y=-10 \end{gathered}[/tex]What is the measure of the unknown angle in the base of this pyramid? A) 25° OB) 40° OC) 55° OD) 70°
Answers
Notice that the base of the pyramid is a triangle, and recall that the interior angles of a triangle add up 180 degrees, therefore:
[tex]\text{?}+55^{\circ}+70^{\circ}=180^{\circ}[/tex]solving for ?, we get:
[tex]\begin{gathered} \text{?}=180^{\circ}-70^{\circ}-55^{\circ} \\ \text{? = 55}^{\circ} \end{gathered}[/tex]Answer:
its C. 70 degrees
because 180 - 50 - 60 = 70
180= whole shape,
so u want to subtract ur known degrees to get the unknown degree
Before attending a business meeting, Mr. Campbell is not shure whether he would sign a big contract being proposed by the other company. The opportunity is attractive but the risk is high, too. Still doubtful at the last moment, he resorts to his way of flipping a coin to decide. Mr. Campbell will flip a fair coin 4 times. If the heads never comes up 2 times in a row, he will quit. What is the probability that Mr. Campbell will decline signing the business contract? A. 1/2 B. 1/4 C. 3/8 D. 7/16
Answers
Given:
Mr. Campbell will flip a fair coin 4 times.
So, the total results = 2⁴ = 16
We will find the probability of heads coming up 2 times in a row:
We will use the tree method to find the number of heads coming up 2 times in a row, Let head (H) and tail (T)
So, the tree figure will be as shown in the following figure:
As we can see the red ellipses is the number of time comes 2 heads in a row
The number = 7
so, the probability that Mr. Campbell will decline signing the business contract = 7/16
The answer will be option D. 7/16
Kelly pumped 54 gallons of gas in 12 minutes. How many gallons of gas is pumped per minute?
Answers
Answer: 4.5 gallons
Step-by-step explanation: because i used calculator.. :)
Rewrite the expression by factoring out 3u-5. [tex]4u(3u-5)+(3u-5)[/tex]
Answers
Answer:
[tex]4u(3u-5)+(3u-5)=3u-5(4u +1)[/tex]
Step-by-step explanation:
[tex]4u(3u-5)+(3u-5)=3u-5(4u +1)[/tex]
An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying Swing Set Wholesale Price ($) Adventurers 3,056 Thunder Ridge 4,125 The markup for both swing sets is 20%. The school decides to buy the Adventurers swing set. What is the selling price of the swing set they are buying? Round to the nearest cent if necessary,
Answers
The selling price of Adventurers swing set is $3,667
What are mathematics operations?
• An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.
• The operation's arity is determined by the number of operands.
• Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.
• A zero-arity operation, also known as a nullary operation, is a constant.
• The mixed product is an example of an arity 3 operation, also known as a ternary operation.
We have,
Adventurers swing set wholesale selling price = $3056
Markup means the amount increased.
20% Mark up on the price:
= 20% of 3056
= 20/100 x 3056
= $611.2
The selling price of Adventurers swing set:
= $3056 + $611.2
= $3,667.2
Rounding to the nearest cent:
= $3,667
Thus the selling price of Adventurers swing set is $3,667
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Can you please help me? It's for Algebra 2 Im a little confused and have been on this question for a while.
Answers
[tex]A= \begin{bmatrix} -3&5&-6\\\\ 9&-5&3 \end{bmatrix}\hspace{5em} B= \begin{bmatrix} -2&6&7\\\\ 2&-1&-6 \end{bmatrix} \\\\[-0.35em] ~\dotfill\\\\ -3A\implies -3\begin{bmatrix} -3&5&-6\\\\ 9&-5&3 \end{bmatrix}\implies \begin{bmatrix} 9&-15&18\\\\ -27&+15&-9 \end{bmatrix} \\\\\\ 6B\implies 6\begin{bmatrix} -2&6&7\\\\ 2&-1&-6 \end{bmatrix}\implies \begin{bmatrix} -12&36&42\\\\ 12&-6&-36 \end{bmatrix} \\\\[-0.35em] ~\dotfill[/tex]
[tex]-3A+6B\implies \begin{bmatrix} 9&-15&18\\\\ -27&+15&-9 \end{bmatrix}~~ + ~~ \begin{bmatrix} -12&36&42\\\\ 12&-6&-36 \end{bmatrix} \\\\\\ \begin{bmatrix} (9-12)&(-15+36)&(18+42)\\\\ (-27+12)&(15-6)&(-9-36) \end{bmatrix}\implies \Large \begin{bmatrix} -3&21&60\\\\ -15&9&-45 \end{bmatrix}[/tex]
in the figure, M angle 7 =100, find the measure of angle 6?how would I solve this?
Answers
The angle 6 has its measure to be 80 degrees
How to determine the measure of angle 6?The figure represents the given parameter
Also from the question, we have the following parameters that can be used in our computation:
m∠angle 7 = 100 degrees
The angles 7 and 6 are angles on the same straight line
As a general rule of angles, angles on the same straight line add up to 180 degrees
This means that
m∠angle 7 + m∠angle 6 = 180
Substitute the known values in the above equation
So, we have the following equation
100 + m∠angle 6 = 180
Subtract 100 from both sides
So, we have the following equation
- 100 + 100 + m∠angle 6 = 180 - 100
Evaluate the like terms in the above equation
m∠angle 6 = 180 - 100
Evaluate the like terms in the above equation
m∠angle 6 = 80
Hence, the measure of angle 6 is 80 degrees
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A cylindrical is made of a rectangular sheet whose length and breadth are 44 cm and 18 cm respectively by Rolling it along its length find the volume of the cylinder.
Answers
Cyinder volume = π r^2 * h
r= radius
h = heigth
π= 3.1416
___________________________
Can you see the updates?
______________________________
Rectangular sheet whose length and breadth are 44 cm and 18 cm
h = 18 cm
Circle perimeter = circunference = 2 π r = 44 cm
I will show you a pic
Answers
first we can separate the values with exponents that having the same base can be reduced
so
[tex]\begin{gathered} \frac{4.8\times2.2}{1.2}\times\frac{10^8\times10^{-6}}{10^4} \\ \\ \frac{4.8\times2.2}{1.2}\times10^{8-6-4} \\ \\ \frac{4.8\times2.2}{1.2}\times10^{-2} \end{gathered}[/tex]now do the multiplication between 4.8 and 2.2 and reduce the fraction
[tex]\begin{gathered} \frac{10.56}{1.2}\times10^{-2} \\ \\ 8.8\times10^{-2} \\ =0.088 \end{gathered}[/tex]so, the right option is B
in a park, the ratio of adults to children is 9 to 3. If there are 216 people in the park, how many children are there?
Answers
Answer:
if the question specifically says people then the amount of children are 54.
if the question specifically says the amount of adults in the park compared to the children when there are 216 adults, then the answer is 72.
Step-by-step explanation:
children and adults
so we know that this is a scale factor question because there is a ratio involved . the ratio is 9 to 3 . so the next ratio answer is 216 to what ?
how do you get from 9 to 216 ? the answer is that you multiply by 216 / 9 . this is a form of math short hand if you did not know already . to get from y to x, you multiply y by x/y.
so basically that means that you multiply 9 by 216 / 9 to get to 216 . that means that the scale factor is 216 / 9 . so you will want to multiply three by 216 / 9 because 216 / 9 is the scale factor .
216 / 9 is equal to 24 . now multiplying the scale factor by 3 is equal to 72 . therefore there are 72 children compared to 216 adults.
_____
children and people
if the question is asking specifically people not adults then instead you will want to add nine with three to get the total amount of people . 9 + 3 = 12 so the new ratio will be 12 people to three children . so with the same idea in mind 12 to 3 and 216 to what? to get from 12 to 216 you need to multiply by 216 / 12 thus 216 / 12 is the scale factor in this situation. 216 / 12 = 18 so the scale factor here is 18 so you need to multiply 18 by 3 to get the total amount of children there compared to the total amount of people . the total amount of children there are 54 .
