Answers
In order to find the amount of blue paint needed, we can write the following rule of three:
[tex]\begin{gathered} \text{green}\to\text{blue} \\ 1\text{ batch}\to2\frac{3}{8}\text{ oz} \\ 5\text{ batches}\to x\text{ oz} \end{gathered}[/tex]First, let's convert the mixed number into an improper fraction:
[tex]2\frac{3}{8}=2+\frac{3}{8}=\frac{16}{8}+\frac{3}{8}=\frac{19}{8}[/tex]From this rule of three, we can write the following equation and solve it for x:
[tex]\begin{gathered} \frac{1}{5}=\frac{\frac{19}{8}}{x} \\ x\cdot1=5\cdot\frac{19}{8} \\ x=\frac{95}{8} \\ x=\frac{88}{8}+\frac{7}{8} \\ x=11+\frac{7}{8} \\ x=11\frac{7}{8} \end{gathered}[/tex]Therefore the upper menu is 7 and the left menu is 11.
Related Questions
matthew worked 20 hours ar $10 a hour. Taxes were 12%. How much money was left?
Answers
Step 1. calculate the totay pay (not including taxes)
Since he worked 20 hours with an hourly pay of $10, the total was:
[tex]20\times10=200[/tex]Step 2. Calculate the taxes
We need to calculate the 12% of $200, to find the amount that he paid in taxes. For this, we divide $200 by 100 and multiply by 12%:
[tex]\frac{200}{100}\times12[/tex]solving this operations we get:
[tex]\frac{200}{100}\times12=24[/tex]He paid $24 in taxes
Step 3. Calculate the remaining amount
We substract $24 from the initial total amount $200:
[tex]200-24=176[/tex]Answer:
How much money was left? $176
What is the slope of the line containing (-2,5) and (4,-4)?A.3/2B.-3/2C. -2D. 2
Answers
Answer:
B.-3/2
Step-by-step explanation:
To find the slope, we need to take two points from a line. I am going to call them:
(x1,y1) and (x2,y2).
The slope is:
[tex]a=\frac{y2-y1}{x2-x1}[/tex]In this question:
(x1,y1) = (-2,5)
(x2,y2) = (4, -4)
So
[tex]a=\frac{y2-y1}{x2-x1}=\frac{-4-5}{4-(-2)}=\frac{-9}{4+2}=-\frac{9}{6}=-\frac{3}{2}[/tex]So the correct answer is:
B.-3/2
Lesson 6.02: Finn's fish store has 5 tanks of goldfish; each tank holds 40 fish. He collects andinspects 5 fish from each tank and finds that 4 fish have fin rot. Find the estimated numbergoldfish in the store that have fin rot. SHOW ALL WORK!
Answers
Answer:
Explanation:
We are told that of each 5 fish inspected in the tank, 4 have fin rot, therefore, the probability o getting a fin rot is
[tex]\frac{4}{5}\times100\%=80\%[/tex]This means 80% of the fish in a tank have fin rot.
Now, for one tank 80% of 40 fish is
[tex]\frac{80\%}{100\%}\times40=32[/tex]Now, since there are 5 fish tanks in the store and 32 fish in each have fin rot; therefore, the total number of fish that have fin rot will be
[tex]32fish\times5=160\text{fish}[/tex]Hence, the estimated number of fish with fish rot in the store is 160.
Find the domain of f(x) = 3x/x-1 and discuss the function behavior of f near any excluded x-values.
Answers
The domains are all real numbers except the the values that makes the denominator zero
x - 1 = 0
x=1
That is; the domain is all real numbers except x=1
what is 1/5 turned into a percent
Answers
Convert y+5=-(x+2) to the slope-Intercept (don’t put any spaces between numbers, variables, signs, or parentheses)
Answers
Given:
[tex]y+5=-(x+2)[/tex]Required:
To find the slope-Intercept form of the given equation.
Explanation:
We know that, the slope intercept form can be represented as
[tex]y=mx+b[/tex]Therefore, the given equation can be written as
[tex]\begin{gathered} y+5=-(x+2) \\ y+5=-x-2 \\ y=-x-2-5 \\ y=-x-7 \end{gathered}[/tex]Final Answer:
The slope-Intercept form of the given equation is
[tex]y=-x-7[/tex]The fire department is having a BBQ fundraiser. The hot dogs costs $1.50 each and cans ofsoda cost $0.75 each. The department uses the algebraic expression 1.50x+0.75y to calculatecustomers' total expenses.a. What does the x variable represent?b. What does the y variable represent?c. A family buys 7 hot dogs and 4 sodas. What are their total expenses?
Answers
a) As the expression represents the total expense for a family, the term 1.50x represents how much the familiy spends in hot dogs.
This term is the product of the price (1.50) and the number of hot dogs purchased (x).
Then, x is the number of hot dogs bought by the familiy.
b) In the same way, 0.75y represent how much the family spends in soda: 0.75 is the price and y represents the number of soda cans purchased by the family.
c) If a family buys x=7 hot dogs and y=4 sodas, we can calculate the expenses as:
[tex]\begin{gathered} E=1.50x+0.75y \\ E=1.50\cdot7+0.75\cdot4 \\ E=10.5+3 \\ E=13.5 \end{gathered}[/tex]Their total expenses are $13.5.
Find the area of the parallelogram. 6.5 cm 3.1 cm 3 cm O 9.3 cm^2 O 19.5 cm^2 O 20.15 cm^2 O 60.45 cm^2
Answers
Data
length = 6.5 cm
height = 3 cm
side = 3.1 cm
Formula
Area = base x height
Substitution
Area = (6.5 x 3)
Result
Area = 19.5 cm^2
Next
The right answer is the second choice
12 + 1.5x >= 20
x-(7.65 + 3.18)=4 solve for x
Answers
Answer:
The value of x is;
[tex]x=14.83[/tex]Explanation:
Given the equation;
[tex]x-(7.65+3.18)=4[/tex]Solving for x;
[tex]\begin{gathered} x-(10.83)=4 \\ x=4+10.83 \\ x=14.83 \end{gathered}[/tex]Therefore, the value of x is;
[tex]x=14.83[/tex]A student in MAT110 this semester has the following grades at the end of the semester, after two quizzes and one lab grade are dropped: Quiz average: 95 Lab average: 89 Tests: 52, 82, 88 Final Exam: 73 Question 1 of 5 20 Points Find the student's course average rounded to the nearest whole number. You'll need to consult your syllabus (and/or the feedback given) for weighting percentages and other grading information.Weights:Quiz = 25%Lab = 25%Test = 35%Final = 15%
Answers
The overall course average is the average weight of all the quizzes, tests, finals, labs.
First we need the average for all the information:
Quiz Average: 95 (given)
Lab Average: 89 (given)
Test Average >> we have to find by summing and dividing by number of tests
[tex]\text{average}=\frac{52+82+88}{3}=74[/tex]Final Exam: 73 (1 exam, so this is the average).
Thus, the information we have:
Quiz Avg = 95
Lab Avg = 89
Test Avg = 74
Final Avg = 73
Now, we multiply the scores with the respective weightage(in decimal) and sum it. We get:
[tex]95\mleft(0.25\mright)+89\mleft(0.25\mright)+74\mleft(0.35\mright)+73\mleft(0.15\mright)=82.85[/tex]Rounded to nearest whole number: 83
Answer:Course Average = 83 (rounded to nearest whole number)
Which set of parametric equations represents the function y=x^2+4x-5? Select all that apply.
Answers
Solution
- The way to solve the equation is to take the expression for x i.e. x = 2t, and substitute into the expression for y(x).
- The result must be the corresponding y-value in terms of t.
- This is done below:
Option A:
[tex]\begin{gathered} x=2t \\ y(x)=x^2+4x-5 \\ \\ \text{ put }x(t)=2t \\ \\ y(x(t))=(2t)^2+4(2t)-5 \\ y(x(t))=y(t)=4t^2+8t-5 \\ \\ \therefore y(t)=4t^2+8t-5\text{ \lparen OPTION A\rparen} \end{gathered}[/tex]Option B:
[tex]\begin{gathered} x=t+1 \\ y=x^2+4x-5 \\ \\ y(x(t))=y(t)=(t+1)^2+4(t+1)-5 \\ t^2+2t+1+4t+4-5 \\ y(t)=t^2+6t\text{ \lparen NOT IN THE OPTIONS\rparen} \end{gathered}[/tex]Option C:
[tex]\begin{gathered} x=t-3 \\ y=x^2+4x-5 \\ \\ y(x(t))=(t-3)^2+4(t-3)-5 \\ =t^2-6t+9+4t-12-5 \\ =t^2-2t-8\text{ \lparen NOT IN THE OPTIONS\rparen} \end{gathered}[/tex]Option D:
[tex]\begin{gathered} x=t^2 \\ y=x^2+4x-5 \\ \\ y(x(t))=(t^2)^2+4(t^2)-5 \\ =t^4+4t^2-5\text{ \lparen NOT IN THE OPTIONS\rparen} \end{gathered}[/tex]Option E:
[tex]\begin{gathered} x=t+1 \\ y=x^2+4x-5 \\ \\ y(x(t))=(t+1)^2+4(t+1)-5 \\ =t^2+2t+1+4t+4-5 \\ =t^2+6t\text{ \lparen OPTION E IS CORRECT\rparen} \end{gathered}[/tex]Final Answer
The answers are OPTIONS A AND E
What is the slope of the line through (-1, -7) and (3,9)? Choose 1 answerA. -1/4B. -4C. 4D. 1/4
Answers
Answer:
C. 4
Explanation:
Given the line that passes through points (-1,-7) and (3,9):
[tex]\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{9-(-7)}{3-(-1)} \\ =\frac{9+7}{3+1} \\ =\frac{16}{4} \\ =4 \end{gathered}[/tex]The slope of the line is 4.
The correct choice is C,
Elena is organizing her craft supplies. She estimatesthat her jars will fit 1,000 buttons or 50 large beads.They actually fit 677 buttons or 22 large beads. DoesElena's estimate about the buttons or her estimateabout the large beads have less percent error? To thenearest percent, how much less?
Answers
Step 1
Given;
[tex]\begin{gathered} Elena-\text{ estimates her jar will take 1000 buttons or 50 large beads} \\ Her\text{ Jar actually takes 677 buttons or 22 large beads} \end{gathered}[/tex]Required; To find if Elena's estimates have percentage error, to which percent, and how much less
Step 2
State the formula for percentage error
[tex]\text{ \% error=}\frac{|Approximate-exact|}{exact}\times100[/tex][tex]Elena^{\prime}s\text{ estimate about the button has a percentage error }[/tex][tex]\begin{gathered} For\text{ buttons} \\ Approximate=1000 \\ Exact=677 \end{gathered}[/tex][tex]\text{ \%error=}\frac{|1000-677|}{677}\times100=47.71048744\text{\%}[/tex][tex]\begin{gathered} For\text{ large beads} \\ \operatorname{\%}\text{error=}\frac{\text{\lvert50-22\rvert}}{22}\times100 \end{gathered}[/tex][tex]\text{ \% error=}\frac{28}{22}\times100=127.272727...\text{\%}[/tex]Percent errors tells you how big your errors are when you measure something in an experiment. Smaller values mean that you are close to the accepted or real value. For example, a 1% error means that you got very close to the accepted value, while 45% means that you were quite a long way off from the true value.
The percentage error for buttons with about 47.71% is less than that of the large beads which is about 127.273%.
How much less of the percentage error to the nearest percent will be;
[tex]\begin{gathered} =79.56223986 \\ \approx80\text{\%} \end{gathered}[/tex]In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 18 feet long with a wingspan of 13.5 feet. If the finished model will be 10 inches long, what will the wingspan be?
3.75 in.
7.5 in.
24.3 in.
13.3 in.
Answers
Answer:
The answer is 24.3
Step-by-step explanation:
hope this helps you
The volume of the tent is 576 cubic feet and the area of the base is 36 square feet. what is the height of the tebt
Answers
The volume of a triangular prism is: B*h. Where B is the area and h is the height.
Replacing the values in the equation we have:
V = B*h
576 = (36)*h
576/36 = h (Dividing by 36 on both sides of the equation)
16 = h (Dividing)
The answer is 16 ft.
How many kilometers could the red car travel in 12 hours? Write an equation to show your work.
Answers
The kilometers that the red car travel in 12 hours is 2604 kilometers.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
From the diagram, it should be noted that the red car has a speed of 217 km per hours.
Therefore, the distance traveled in 12 hours will be:
Distance = Speed × Time
= 217 × 12
= 2604 km
Learn more about equations on;
brainly.com/question/2972832
#SPJ1
Graph two full periods, highlighting the first period using bold marking and analyze each function.Y = 2 sin (1/2 (x + pi/2) ) + 1
Answers
Given
[tex]y=2\sin(\frac{1}{2}(x+\frac{\pi}{2}))+1[/tex]
Procedure
Period: 4pi
Interval length: In the graph 2 periods 8pi
Phase shift: -pi/2
1st Per. begins: -pi/2
1st Per. ends: 7pi/2
Amplitude: 2
Domain:
(-∞, ∞)
Range:
[-1,3]
y-intercep:
(0,2.414)
x-intercept:
[tex]x=\frac{11\pi}{6}+4\pi n,\frac{19\pi}{6}+4\pi n,\text{ for any integer of n }[/tex]Lincoln Middle School plans to collect more than 2,000 cans of food in a food drive. So far, 668 cans have been collected. Write and solve an inequality to find numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal.Which inequality represents the solution to this situation?
Answers
Inequalities
Let's call c the number of cans of food.
The school wants to collect more than 2,000 cans in a food drive.
668 cans have been collected so far.
The number of cans needed to reach the goal is 2,000 - 668.
These cans will be collected in 7 days, thus:
7c > 2,000 - 668
Operating
7c > 1,332
Dividing by 7:
c > 1,332 / 7
c > 190.29
This is the average number of cans needed to collect each day.
The first choice is correct
In one month, Jason eams $32.50 less than twice the amount Keyin earns, Jason earns $212.50write and solve an equation to solve for the amount of money that kevin earns
Answers
Let the amount Kevin earns be represented with K
Let the amount Jason earns be represented with J
Jason earns $32.50 less than twice Keyin earns can be represented by
J = K - 32.5 ----- equation 1
Jason earns $ 212.5
J = 212.5 ----- equation 2
From equation 1, we can write the equation to solve for what Kevin earns
J = K - 32.5
Making K the subject of the formula
K = J + 32.5
Putting J = 212.5 into the equation above
K= $ 212.5 + $ 32.5
K = $ 245
Kevin earns $245
which statement is the contrapositive of the given statement statement if you play a sport then you wear a helmet
Answers
We will have that the contrapositive statement is:
*If you do not wear a helmet, then you do not play a sport.
convert r= 5/ 1+3sinθ to a rectangular equation
Answers
Given:
[tex]r=\frac{5}{1+3\sin \theta}[/tex]Find: Rectangular equation.
Sol:
[tex]r^2=x^2+y^2[/tex][tex]\begin{gathered} y=r\sin \theta \\ \sin \theta=\frac{y}{r} \end{gathered}[/tex][tex]\begin{gathered} r=\frac{5}{1+3\sin \theta} \\ r=\frac{5}{1+\frac{3y}{r}} \end{gathered}[/tex][tex]\begin{gathered} r=\frac{5r}{r+3y} \\ r+3y=5 \\ r=5-3y \\ r^2=(5-3y)^2 \end{gathered}[/tex]Put the value in rectangular equation:
[tex]\begin{gathered} x^2+y^2=r^2 \\ x^2+y^2=(5-3y)^2 \end{gathered}[/tex]Estimate the square root to the nearest whole numberV450question 1
Answers
We need to solve the next square root
[tex]\sqrt[]{450}=21.21[/tex]The nearest whole number is 21
25. A group of students were asked how many movies they had watched the previous week. The results are shown below.Number of MoviesFrequency0818253547Find the mean and median for the number of movies watched per student. Round your answers to the nearest hundredth.Mean = Median =
Answers
Answer:
Explanation:
Given the results of the number of movies watched by the group of students and the frequency, we're asked to determine the mean and median for the number of movies watched per student.
We'll follow the below steps to solve for the mean and median;
1. Find the product of the number of movies and frequency;
[tex]\begin{gathered} 0\times8=0 \\ 1\times8=8 \\ 2\times5=10 \\ 3\times5=15 \\ 4\times7=28 \end{gathered}[/tex]2. Find the sum of the product of the number of movies and frequency;
[tex]0+8+10+15+28=61[/tex]3. Find the sum of the frequency;
[tex]8+8+5+5+7=33[/tex]The mean can now be determined using the below formula;
[tex]\begin{gathered} \text{Mean}=\frac{\Sigma(f\cdot x)}{\Sigma f} \\ \text{where} \\ \Sigma(f\cdot x)=\text{ sum of the product of the number of movies and frequency} \\ \Sigma f=\text{ sum of the frequency} \end{gathered}[/tex]Therefore, our mean is;
[tex]\text{Mean}=\frac{61}{33}=1.85[/tex]We can go ahead and determine the median using the below formula;
[tex]undefined[/tex]A class of 20 students wants to form a committee to fundraise for cancer research. If the committee is formed with four students, how many possible committees can be made?A: 116,280B: 24C: 4,845D: 9,690
Answers
1) Since there are 20 students, and each committee is formed by 4 people.
The order does not matter, and there can't be repetition. Just one person can be, let's say president, VP, secretary, and treasurer.
2) So we can write, the possibilities on the numerator of people filling in and on the denominator the number of vacancies for that committee, we can set this Combination simply as:
[tex]\frac{20}{4}\times\frac{19}{3}\times\frac{18}{2}\times\frac{17}{1}=4845[/tex]3) So there are 4845 possibilities to form a Committee with 20 people for 4 vacant lots.
Solve for X Geometry, Just need a quick over view!
Answers
The value of X = 11
Step - by - Step Explanation
What to find? The value of x
To find the value of X, take the ratio of the sides.
[tex]\frac{2x+6}{32}=\frac{52.5}{60}[/tex]Cross -multiply.
[tex]60(2x+6)=52.5(32)[/tex][tex]60(2x+6)=1680[/tex]Divide both-side of the equation by 60.
[tex]\frac{\cancel{60}(2x+6)}{\cancel{60}}=\frac{1680}{60}[/tex]2x + 6 = 28
Subtract 6 from both-side of the equation.
2x + 6 - 6 = 28 - 6
2x =22
Divide both-side of the equation by 2.
[tex]\frac{\cancel{2}x}{\cancel{2}}=\frac{22}{2}[/tex]x = 11
Hence, the value of X = 11
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.six subtracted from a number
Answers
in this work today in my class want to know if am right 5w+2p for w=6 and p=2 evaluate this
Answers
Solution
For this case we have the following expression given:
5w +2p
And we have that w= 6 and p= 2
And replacing we got:
5*6 + 2*2
30 + 4= 34
what isk + 6 greater than or equal to 19, if k = 11
Answers
what is
k + 6 greater than or equal to 19, if k = 11
we have
[tex]\begin{gathered} k+6\ge19 \\ k\ge19-6 \\ k\ge13 \end{gathered}[/tex]For k=11
we have
[tex]\begin{gathered} 11+6\ge19 \\ 17\ge19\text{ ----}\longrightarrow\text{ is not true} \\ \text{that means-}\longrightarrow\text{ the value of k is not a solution of the inequality} \end{gathered}[/tex]You put $400 in an account. The account earns $32 simple interest in 2 years what is the annual interest rate?
Answers
Answer
4 %
Explanation
Given:
Principal, P = $400
Interest, I = $32
Time,T = 2 years
What to find:
Annual interest rate, R
Step-by step solution:
The simple interest formula is given by:
[tex]I=\frac{\text{PRT}}{100}[/tex]Substituting P = 400, I = 32, and T = 2 into the formula:
[tex]\begin{gathered} 32=\frac{400\times R\times2}{100} \\ 800R=3200 \\ R=\frac{3200}{800} \\ R=4\text{ \%} \end{gathered}[/tex]7x +4 for x =9 The solution is ?