The estimate for the number of cars that are red will be 9450000.
What is the estimate of the number of cars?From the information, when Ben sat outside his school in Cambridge and made a note of the colour of the first 100 cars that passed, he found out that 27 of them were red.
Based on the above, the ratio of red cars to total cars is 27:100.
Therefore, if thee are 35 million cars, the red cars will be:
= Ratio of red cars × Total cars
= 27/100 × 3500000
= 9450000
The number of red cards is 9450000.
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Kelly is trying to decide which plan to use to download songs. She can download 8 songs for $9.60 or 15 songs for $15.00. Which plan offers the lowest cost per song?
Answer:
The second plan ($15.00 for 15 songs) offers the lowest cost per song.
Step-by-step explanation:
The objective is to find the plan that provides the lowest cost per song. "Lowest cost per song" is basically $/song. So let's compare the two plans by calculating the cost per song.
Plan 1: $9.60/(8 songs) = $1.20/song
Plan 2: $15.00/(15 songs) = $1.00/song
The second plan ($15.00 for 15 songs) offers the lowest cost per song.
Juan always saves 30% of all his earnings. Last month he saved $141. How much did he earn last month?
Answer:
$470
Step-by-step explanation:
%30 of 470 = $141
Answer: $470
I hope it help
Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday. What fraction of green shirts did Diana sell on Monday and Tuesday? 27/60 is the answer. Diana sold 2/15 of the total number of green shirts on Wednesday. What is the difference in the fraction of the total number of green shirts that were sold on Tuesday and Wednesday?
Answer:
your answer is [tex]27/60[/tex] and [tex]7/60[/tex]
To pay for a home improvement project that totals $16,000, Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years or paying with a credit card that compounds monthly at an annual rate of 15% for 7 years. Which plan would give Genesis the lowest monthly payment?
A) The monthly credit card payment would be $511.11, which is lower than the monthly payment on the bank loan.
B) The monthly payment on a bank loan would be $480, which is lower than the monthly credit card payment.
C) The monthly payment on a bank loan would be $551.11, which is lower than the monthly credit card payment.
D) The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.
Any explanation would be greatly appreciated as well! <3
The plan that would give Genesis the lowest monthly payment is D. The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.
How to calculate the payment?From the information, the home improvement project that totals $16,000, and Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years.
The simple interest earned will be:
= Principal × Rate × Time / 100
= (16000 × 8 × 3)/100
= $551.11
The compound interest will be:
A = P(1 + r/n)^nt
A = accumulated amount
P = amount deposited
r = rate
n = times of compound per year
t = years
This will be:
A = 16000(1 + 0.15/12)^(12×7)
A = $540.78
Therefore the correct option is D.
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Consider the following conjecture.
There are no prime numbers between 7,608 and 7,620
How could this statement be shown to be true or false? Would it still be a conjecture if no counterexample were found? Explain
There are no prime numbers between7,608 and 7,620
A prime number is a whole number greater than 1 whose only factors are 1 and itself
The numbers between 7608 and 7620 are:
7609,7610,7611,7612,7613,7614,7615,7616,7617,7618,7619
Here we have to check these numbers are prime number or not
Prime factorization
7609=7×1087
7610=2×5×761
7611=3×43×59
7612=2×2×11×173
7613=23×331
7614=2×3×3×3×3×47
7615=5×1523
7616=2×2×2×2×2×2×7×17
7617=3×2539
7618=2×13×293
7619=19×401
Hence, proved that there are no prime numbers between7608 and 7620
asking help for a friend again
To find the parallel line of y =3z+6 passing through the slope intercept points (-2,5).
For a line to be parallel to another line, by definition it must have the same slope.
Because the equation is in the slope-intercept form we can use the slope of the line.
The slope- intercept form of a linear equation is :
y=mx+b
Where m is the slope and b is the y− intercept value.
Therefore, for the given equation, the slope is 3.
Now we can use the point slope formula to determine the equation for the parallel line.
The point - slope formula states: (y−y1)=m(x−x1)
Where m is the slope and (x1,y1) is a point the line passes through.
Substituting the slope from the given line and the given point gives:
y−5=3(x+2)
Transforming this to the slope-intercept form by solving for y gives:
y−5=3x+6
y−5+5=3x+6+5
y=3x+11
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This stem-and-leaf plot shows the number of Australian road fatalities in April for the years 2009 to 2019. Find the range of the data. Stem Leaf 7 2 889 9 10 11 15 4 1 2 6 1 3 4 3 Key 13 0=130
What is the equation of the line that passes through the point (-4, 3) and slope of 3/4
The equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.
According to the question,
We have the following information:
We have the point (-4,3) and a slope of 3/4.
We know that the following formula is used to find the equation passing through any point:
(y-y') = m(x-x') where m is the slope and in this case, y' = 3 and x' = -4
y-3 = 3/4{x-(-4)}
y-3 = 3/4 (x+4)
Multiplying 3/4 into the bracket:
y-3 = 3x/4 + 3
Moving -3 from the left hand side to the right hand side:
y = 3x/4+3+3
y = 3x/4+6
Hence, the equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.
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3x + 5y = 4
16x + 10y = 4
How can one number in the second equation be changed so the system has only one solution? Explain.
The way that one number in the second equation be changed so the system has only one solution is; to divide each term by 2 to get the coefficient of y as 5.
How to solve simultaneous equations?There are different methods to solve simultaneous equations such as;
Substitution MethodElimination MethodGraphical MethodWe are given the equations as;
3x + 5y = 4
16x + 10y = 4
Now, we want to perform an operation whereby we make the second equation be changed so the system has only one solution. This method is the elimination method.
The elimination method is the process that we use to eliminate one of the variables in the system of linear equations with the aid of the addition or subtraction methods as well as multiplication or division of coefficients of the variables.
Now, since we have 5y in the first equation, the first step to carry out on the second equation is to divide each term by 2 to get the coefficient of y as 5.
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3b(2x-z^3)=2h-7gx change the subject to x
Answer:
Step-by-step explanation:
3b(2x - z^3) = 2h - 7gx Distribute 3b
6bx - 3bz^3 = 2h - 7gx Add 3bz^3 to both sides
6bx = 3bz^3 + 2h - 7gx Add 7gx to both sides
6bx + 7gx = 3bz^3 + 2h Factor left side, factor out a gcf of x
x(6b + 7g) = 3bz^3 + 2h Divide both sides by (6b + 7g) to isolate x
x = (3bz^3 + 2h)/ (6b + 7g)
Jayce is a taxi driver.
M(n) models Jayce's fee (in dollars) for his nth drive on a certain day.
What does the statement M(10) = K mean?
Choose 1 answer:
A
Jayce's fee for his Kth drive is equal to $10.
(B)
Jayce's fee for his 10th drive is equal to K dollars.
The correct answer is C. Jayce's fee for his 10th drive is equal to K dollars.
Based on the mentioned statements, n refers to the number of drives in a certain day. Additionally, it is mentioned that M(n) models the fee in dollars. As is seen in the equation, M(n) is equal to K. Thus, the fee in dollars is K dollars.
Now, as n is ten, thus the drive is tenth. And the fees for tenth drive is K dollars. So, the third option is correct, which states that Jayce's fee for his tenth drive is equal to K dollars.
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Maria's rectangular rug is twice as long as it is wide. The are of the rug is 76.88 square feet.
What is the perimeter of the rug?
The perimeter of the rug is 37.2
The first line says that the rug is twice as long as its width. If the width is taken as w and length is taken as l, we get an equation l= 2w. Since it is a rectangle, the area of the rectangle will be (length*width) which is equal to l*w.
Since l=2w, area = 2w*w = 2w^2. This is given equally to 76.88.
2w^2 = 76.88
w^2 = 38.44
w = 6.2
l = 2w = 2*6.2 = 12.4
Now, perimeter of rectangle is 2w+2l = 2*6.2 + 2*12.4 = 37.2
Hence the perimeter of the rug is 37.2
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"6 more than 7 times the amount of 10"
Answer: 76
Step-by-step explanation:
Based on the given conditions, formulate: 6+10*7
Calculate the product or quotient: 6+70
Calculate the sum or difference: 76
5/3=?x1/3
help please ASAP
The value of x is 5 for the given equation 5/3 = x/3.
What do we mean by equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.So, the equation is:
5/3 = x/3Now, solve for x as follows:
5/3 = x/33x = 5 × 3 (Cros multiply)3x = 15x = 15/3x = 5Therefore, the value of x is 5 for the given equation 5/3 = x/3.
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Correct question:
Solve for x. 5/3= x/3
Can someone pls give me the answer to this???
Answer:
By comparing both the figures there is a difference of 6
[tex]x + 1 = 24 - 6 \\ x = 24 - 6 - 1 \\ x = 17[/tex]
Jane paints a 2 1/3 wall with 2/3 can of paint joe paints 3 1/4 walls with 3/4 can of paint who paints a wall at a faster rate
Answer:
Jane paints faster if I may be correct
Can you find the measure of the indicated angle and type the correct code? Please remember to type in ALL CAPS with no spaces,
From the figure
A. alternate interior angles: 1
B. same side exterior: 4
C. vertical: 4 and 3
D. same side interior: 3
E. obtuse angle: 1
F. adjacent angle pairs: 1 and 2
G. alternate exterior: 2
H. corresponding: 4
I. complimentary:
What are parallel lines?parallel lines refer too lines that would never meet. When there is a pair of parallel lines with a transversal line like in the figure some angle theorems come into play
some of the are used in the in the problem and definition of some them include
adjacent angles refer to angles that are next to each other, such angles are being demarcated by a line to the other angle. in the figure angle 1 and 2 alternate angles
Obtuse angles refers to angles that are more than 90 degrees but less than 90 degrees
vertical angles are angles opposite to each other, formed when two lines meet
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lee went shopping with $60.50 . he bought 5 boxes of blue berries and 3 watermelons and had $16.50 left each watermelon cost $8.30
Assuming the question is : "how much does 1 box of blueberries cost?"
After he bought 5 boxes of blueberries and 3 watermelons, he was left with $16.50
Therefore, 5 boxes of blueberries and 3 watermelons cost $60.50 - $16.50 = $44
We are given the cost of 1 watermelon is $8.30
Therefore, 3 watermelons cost $8.30 x 3 = $24.90.
-> 5 boxes of blueberries cost $44 - $24.90 = $19.10
-> 1 box of blueberries cost $19.10 : 5 = $3.82
Answer:
If your trying to find the total of the 5 boxes of blue berries the answer is
$19.10
Step-by-step explanation:
60.50 - 16.50 = 44$ meaning he spent that much.
8.30 x 3 = 24.9
19.10 + 24.9 = 44
hope this helps
help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
125=16t², t²=125/16=√7.8125=2.7951 ,hence t=3secounds
Which statement is an example of deductive reasoning?
Responses
Quadrilaterals DEFG and JKLM have four congruent sides and no right angles. Therefore, any quadrilateral with four congruent sides has no right angles.
Quadrilaterals cap d cap e cap f cap g and cap j cap k cap l cap m have four congruent sides and no right angles. Therefore, any quadrilateral with four congruent sides has no right angles.
Triangle XYZ is an isosceles right triangle. Triangle CDE is an isosceles right triangle. Therefore, all right triangles are isosceles right triangles.
Triangle cap x cap y cap z is an isosceles right triangle. Triangle cap c cap d cap e is an isosceles right triangle. Therefore, all right triangles are isosceles right triangles.
All rulers in geometry class are 12 inches long. The biology class also uses rulers. Therefore, the rulers in biology class are 12 inches long.
All rulers in geometry class are 12 inches long. The biology class also uses rulers. Therefore, the rulers in biology class are 12 inches long.
All squares are parallelograms. Quadrilateral ABCD is a square. Therefore, quadrilateral ABCD is a parallelogram.
Answer:
Step-by-step explanation:
bill, phil, and jenny are siblings. bill is twice as old as phil. jenny is two years younger than bill. currently, their dad is twice as old as the sum of their ages. in nine years, dad's new age will be equal to the sum of his three kids' new ages. what is jenny's current age?
The current age of Jenny is 6 years.
Let the current age of Phil be = x years
So the current age of Bill is = 2x years
The current age of Jenny is = 2x-2 years
Sum of their ages is = x+2x+2x-2 = 5x-2 years
Now the age of their dad is = 2(5x-2) = 10x-4 years
Now after nine years,
Age of Phil = x+9
Age of Bill = 2x+9
Age of Jenny = 2x-2+9 = 2x+7
Sum of their ages = x+9+2x+9+2x+7 = 5x+25
New age of their father = 10x-4+9 = 10x+5
According to question, the required linear equation to solve the question is,
5x+25 = 10x+5
5x = 20
x = 4
Hence the Jenny's current age = 2*4-2 = 8-2 = 6 years
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Question
A botanist created a linear model to predict plant height from soil acidity (pH level) for a certain type of plant. The slope of the model was 2.5 centimeters per pH level, the standard deviation of the sample of plant heights was 4 centimeters, and the standard deviation of the soil acidities was 1 pH level. What is the value of the correlation coefficient?
The value of the correlation coefficient is 0.625.
What is a correlation coefficient?Correlation coefficients quantify the strength of a relationship between two variables. A correlation coefficient is a number ranging from -1 to 1 that indicates the degree and direction of a relationship between variables. It is a statistical notion that aids in the establishment of a relationship between predicted and actual values collected in a statistical experiment.
In this case, the slope of the model was 2.5 centimeters per pH level, and the standard deviation of the sample of plant heights was 4 centimeters.
The correlation coefficient will be:
= Slope / Standard Deviation
= 2.5 / 4
= 0.625
The coefficient is 0.625.
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A biker travels down the street at 15 m/s. It
takes 60 seconds to travel to the end of the
street. How long was the street?
The street was 900m long when the speed is 15m/s and, the time is 60 seconds.
What is meant by distance, speed, and time?To calculate speed, divide the distance traveled by the time it took to complete the voyage, so speed = distance divided by time. To determine the distance, multiply the speed by the passage of time. These equations can be reduced as s=d/t, where s represents speed, d represents distance, and t represents time.
Distance divided by time equals speed. Distance = time * speed
To solve for speed or rate, utilize the speed formula, s = d/t, which implies speed equals distance divided by time. To solve for time, utilize the time formula, t = d/s, which implies time equals distance divided by speed.
Given,
Speed of the biker who travels down the street=15m/s
Time taken=60seconds
Distance=?
We know that,
Distance=Speed× Time
Distance=15×60
Distance=900m
Therefore, the street was 900m long
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Please help! This makes no sense to me
Geometry A
Brainliest for correct answer!!
Two friends, Bo and Daniel, had just bought their first cars. The equation y = 31.5x
represents the number of miles, y, that Daniel can drive his car for every x gallons of
gas. Bo uses 9 gallons of gas to drive 256.5 miles in his car.
By using a linear equation, it is obtained that
Distance farther Daniel's car travel in 1 gallon of gas than Bo's car =
3 miles
What is linear equation?
At first, it is important to know about equation.
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
The equation y = 31.5x represents the number of miles, y, that Daniel can drive his car for every x gallons of gas
Distance driven by Daniel in 1 gallon of gas = [tex]31.5 \times 1 = 31.5 \ miles[/tex]
Bo uses 9 gallons of gas to drive 256.5 miles in his car.
Bo uses 1 gallon of gas to drive [tex]\frac{256.5}{9}[/tex] miles in his car.
Bo uses 1 gallon of gas to drive 28.5 miles in his car.
Distance farther Daniel's car travel in 1 gallon of gas than Bo's car =
31.5 - 28.5 = 3 miles
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Complete Question
The complete question has been attached here.
is y=7-3x a linear function
Answer:
no
Step-by-step explanation:
because the equation is supposed to be y=mx+b and the x comes after slope which is after m
Answer: Yes
Step-by-step explanation:
Linear functions are functions whose graph is a straight line. The function has to be in the form y=a+bx in order to be linear. Second, for any given change in x, the change in y will always be the same value.
What is the distance from the origin to point P graphed on the complex plane below?
The distance from the origin to point P graphed on the complex plane is d = [tex]\sqrt{29}[/tex]
Given,
In the question;
From the figure,
To find the distance from the origin to point P graphed on the complex plane .
Now, According to the question:
To see the graph,
The point P lie on the x- axis and y - axis .
x = 2 and y = -5
We know the formula of distance,
Distance (d) = [tex]\sqrt{x^{2} +y^2}[/tex]
d = [tex]\sqrt{2^2 + (-5)^2}[/tex]
d = [tex]\sqrt{4 + 25}[/tex]
d = [tex]\sqrt{29}[/tex]
Hence, The distance from the origin to point P graphed on the complex plane is d = [tex]\sqrt{29}[/tex]
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Help Please!
Solve the inequality and graph it’s solution.
Answer:
A) n > 0
Step-by-step explanation:
You want the solution and graph for -8n +18 > -6(3n -3).
SolutionEliminating parentheses, we have ...
-8n +18 > -18n +18
Subtracting 18 gives ...
-8n > -18n
Adding 18n, we have ...
10n > 0
Finally, dividing by 10 gives ...
n > 0
The graph is attached.
The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. What expression could you create from that problem?
Options C and E are correct. The expression can be written in the forms of
C. 10.5(12 + x) square feetE. (126 + 10.5x) square feetHow to solve for the expressionWe have the length of the room as 12 feet
The width of the room = [tex]10\frac{1}{2}[/tex] feet
The expansion of the = 12 +x
What is the area of a rectangle?
The area of a rectangle is given as lw = length x width
Hence we would have the following:
(12+x)10.5 = area
We would have to open the bracket as well
126 + 10.5x
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Complete question
1012 feet. The length of the room is being expanded by x feet. Choose an expression to represent the new area of the living room in square feet and the expanded form of the expression. Select all that apply.
A. 10.5(12x) square feet
B. (10.5 + 12 + x) square feet
C. 10.5(12 + x) square feet
D. 126x square feet
E. (126 + 10.5x) square feet
F. (22.5 + x) square feet
(x² + 8x + 1) ÷ (x −4)
Answer: x=4
Step-by-step explanation: simplify expression and divide polynomials