Answer:
42
Step-by-step explanation:
because its 42
Date
11. Write the fraction below as a decimal rounded
to the nearest hundredth.
25
7
Answer:
3.57
Step-by-step explanation:
25/7 is the same as 25÷7 which is 3.57
18. The length of a rectangle is 7 cm more than the width. The perimeter is 78 cm. Find the rectangle's dimensions. What would be the formula to solve this?
The length of the rectangle is 21 cm and the width is 16 cm.
What is a rectangle?A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The perimeter of the rectangle is defined as the sum of all the sides of the rectangle.
The formula to calculate the perimeter is,
P = 2 ( L + W)
Here
P = Perimeter
L = length of the rectangle
W = Width of rectangle
Given that the length of a rectangle is 7 cm more than the width. The perimeter is 78 cm.
The equations can be formed as,
L = 7 + W
P = 2(L+W)
78 = 2 ( 7 + W + W )
39 = 7 + 2W
W = 32/2
W = 16 cm
L = 7 + W
L = 7 + 16 = 21 cm
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In Exercises 11 and 12, find m/1, m/2, and m/3.
Explain your reasoning.
Answer:
11
m/1= 100, m/2 = 80, m/3 = 100
12
m/1 = 47, m/2= 133, m/3=47
Step-by-step explanation:
Number 11 uses Cointerior angle rule
Number 12 uses Cointerior angle rule and Corresponding angle rules
The castle tower has a height of 14 m. Work out the height of the tree.
Because the height are in proportion, a possible value of the height of the tree is 70 m
How to determine the possible height of the tree?The complete question is added as an attachment
The given parameters from the question are given as:
Height of the castle tower = 14 metersHeight of the tree = unknownIn the above expression, we have the following observations:
The heights are not equalThe heights are in proportionFrom the figure, we can see that the height of the tree is about 5 times the height of the castle tower
This is represented as
Height of the tree = k * Height of the castle tower
Where
Scale factor, k = 5
Substitute the known values in the above equation
So, we have
Height of the tree = 5 * 14 m
Evaluate the products
So, we have
Height of the tree = 70 m
Hence, the possible height of the tree is 70 m
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Answer:
Step-by-step explanation:
Solve the following inequality algebraically.
x²-16x +60 ≥ 0
Answer:
[tex] \sf \large \: x≤6 \: or \: x≥10[/tex]
Step-by-step explanation:
Let's solve your inequality step-by-step.
x2−16x+60≥0
Let's find the critical points of the inequality.
x2−16x+60=0
(x−6)(x−10)=0(Factor left side of equation)
x−6=0 or x−10=0(Set factors equal to 0)
x=6 or x=10
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x≤6(Works in original inequality)
6≤x≤10(Doesn't work in original inequality)
x≥10(Works in original inequality)
(9x+5) + (5x+9) in simplest term
Answer:
14x+14
Step-by-step explanation:
9x+5+5x+9
=9x+5+5x+9
=(9x+5x)+(5+9)
=14x+14
What integer would be added to 15 to result in a sum of zero
Answer:
0+15 =15
Step-by-step explanation:
it is said that the sum should have a 0
Which function is positive for the entire interval [–3, –2]? On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3). On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5). On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5). On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
The function that is positive for the entire interval [-3,-2] is given by:
On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5).
When a function is positive and when it is negative?We have to look at the graph of the function relative to the x-axis, as follows:
A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.The graphs for this function are given at the end of the answer, and the only function for which it is positive, that is, above the x-axis, in the entire interval [-3,-2] is the second, hence the correct option is:
On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5).
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find the probability of a point chosen at random being in the shaded area of the diagram at the right
Answer: 1/9
Step-by-step explanation:
The area of the shaded region is [tex](4/2)^2 \pi =4\pi[/tex]
The area of the entire circle is [tex](6)^2 \pi=36\pi[/tex]
So, the probability is [tex]\frac{4\pi}{36\pi}=1/9[/tex]
Write an algebraic expression for the verbal description.
The discount d is 40% of the list price L.
Answer:
D = 0.4(L)
Step-by-step explanation:
D = 0.4(L)
Answer: 0.4L=d
Step-by-step explanation:
40%=0.4
0.4L=d ==> 40% of L, the listed price, is d, the discount.
10. f(3)=2x-5 Evaluate the function.
Answer should be written: f(3)=?
Type a response
2/1
The evaluation of function will give the result f(3) = 1
To find the value of function given in question, we will simply keep the desired value in place of variable x.
Rewriting the equation
f(3) = 2x - 5
Keep the value of x in equation, as given in question
f(3) = 2×3 - 5
Performing multiplication to find the value of x in equation given in question
f(3) = 6 - 5
Performing subtraction to find the value of x in equation given in question
f(3) = 1
Therefore, the result of evaluation of given function is f(3) = 1.
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Kelly works four hours a day on tickets and solves on average 38 tickets per day. Brian works five hours per day and solves 45 tickets per hour. Marvin works six hours a day on tickets and solves on average 59 tickets per day. Linda works five and a half hours a day on tickets and solves 53 tickets per day. Who solves the most tickets per hour?
Answer:
Marvin
Step-by-step explanation:
Kelly works four hours a day on tickets and solves on average 38 tickets per day.
38 tickets / 4 hours = 9.5 tickers per hour
_____________________
Brian works five hours per day and solves 45 tickets per hour.
45 tickets / 5 hours = 9 tickers per hour
_____________________________
Marvin works six hours a day on tickets and solves on average 59 tickets per day.
59 tickets / 6 hours = 9.83333 tickers per hour
______________________
Linda works five and a half hours a day on tickets and solves 53 tickets per day.
53 tickets / 5.5 hours = 9.6363637 tickers per hour
Who solves the most tickets per hour? Marvin at 9.833 tickets an hour
Graduation gift of $5,000 image that you are able to average 2.5% interest on the principal.
1. How much (simple) interest will you receive on your savings after one year?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (5000)(0.025)(1) \implies I = 125[/tex]
You have 2 positive numbers. One number is one-fifth of the other number. The difference between the two numbers is 308, find the numbers. PLEASE HELP
Answer:
[tex]77, 385[/tex]
Step-by-step explanation:
Start by writing the equations in symbolic form. I will represent one number with an x and the other with a y.
One number is one-fifth of the other number:
[tex]x=\frac{1}{5}y[/tex]
The difference between the two numbers is 308:
[tex]y-x=308[/tex]
This difference is positive, therefore I am assuming that y is the larger number. In the first equation, I made x a part of y, so this should check out.
Now we have a system of equations:
[tex]\left \{ {{x=\frac{1}{5}y } \atop {y-x=308}} \right.[/tex]
I will rewrite the first equation for simplicity:
[tex]5x=y[/tex]
Now, I will substitute y from the first equation for y in the second equation:
[tex]5x-x=308[/tex]
Simplify:
[tex]4x=308\\x=77[/tex]
Now, use x to find y using the second equation:
[tex]y-77=308\\y=385[/tex]
Now, I can check the solutions by plugging them into the first equation!
[tex]x=\frac{1}{5}y\\ 77=\frac{1}{5}(385)\\77=77[/tex]
The solution is correct!
HELPPPPPPOOOOOOPOOOOOOOOOOOPPPPPPPPPPPPPPPPPPPPPPPPOOOOOO
Answer:
In standars form it would look like so:
28,936
In expanded form it would look like so:
20,000 + 8,000 + 900 + 30 + 6
Step-by-step explanation:
Your welcome! Hope it helps! =D
PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!!!
The residual plot represents a linear model because (a) there is no clear pattern
How to determine the if the residual plot represents a linear model?The given parameters are:
The graph
The table
For a residual plot to represent a linear model, the following must be true
The points on the residual plot must be randomly dispersed on the plot
This means that all residual plots that have random points are linear models
From the attached graph, we can see that the points on the graph are randomly dispersed
Hence, the residual plot represents a linear model because (a) there is no clear pattern
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Graph the following line
X=0
Answer:
the line runs that aligns with the y-intercept
Step-by-step explanation:
The governor of state A earns $47,535 more than the governor of state B. If the total of their salaries is $299,115, find the salaries of each.
How Much Money Did The Movie Theater Get? PLS ANSWER FAST I GIVE BRAINLIEST
Movie a costs 4 dollars
Movie b costs 5 dollars
Movie theater got 200 dollars and sold 47 ticket
How many tickets did movie a sell
Solving a system of equations, we conclude that 35 tickets for movie a were sold
How many tickets did movie a sell?
Let's define the variables:
x = tickets of movie a sold.y = tickets of movie b sold.Here we know that a total of 47 tickets were sold, then:
x + y = 47
And they sold for a total of $200, then:
x*$4 + y*$5 = $200
So we have a system of equations:
x + y = 47
x*$4 + y*$5 = $200
We want to solve this for x, then we need to isolate the variable y in one of the equations, doing that in the first one we get:
y = 47 - x
Now we can replace that in the other equation to get:
x*$4 + (47 - x)*$5 = $200
x*$4 + $235 - x*$5 = $200
$235 - x*$1 = $200
$235 - $200 = x*$1
$35 = x*$1
$35/$1 = x = 35
This means that 35 tickets for the movie a were sold.
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PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!
The type of model that would be the most appropriate would be the exponential model: An exponential model is appropriate because the relationship between days and the natural log of views is linear, and the residual plot does not show a clear pattern.
What is an exponential model?This is the term that is used to refer to the process that is known to show a growth that is double its rate of growth. That is, it is used to show that there is the existence of a speed up in the rate at which the data is growing and it would follow a particular patter. This can be shown as: y = ab^x.
What is a scatterplot?This is the term that is used to show the graphical representation that is done by showing the existing relationship that exists between two variables in a graph. That would be the x variable and the y variable.
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The composite bar chart Messages received shows the number of messages Tim received each day for five days.
a) How many texts did Tim receive on Monday?
b) How many emails did Tim receive on Thursday?
c) In total, what fraction of the messages were emails?
Give your answer in its simplest form.
We need to know about a composite bar chart to solve the question. The answer for (a) is Tim received 8 texts on Monday, (b) Tim received 4 emails on Thursday and (c) 0.52 of the messages were emails.
A composite bar chart is used when there are two sets of data that are connected and their frequencies are combined.In this question there are two sets of data emails and texts but both of them belong to the same category which is messages. For question (a) we can easily say from the diagram that the number of texts Tim received on Monday is 8.
For question (b) we need to find out the number of emails Tim received on Thursday, for this we have to look at the bar for Thursday and subtract the number of texts received from total number of messages to get the number of emails received that means, 15-11=4, so Tim received 4 emails on Thursday.
For question (c) we need to find the total number of messages received by Tim for five days, total number of emails received and then calculate the fraction of emails out of messages.
Total number of messages=14+16+14+15+14=73
Total number of emails=6+10+10+4+8=38
Fraction of emails over messages=[tex]\frac{38}{73}[/tex]=0.52
Thus 0.52 of the messages were emails.
We analysed the composite bar chart to find out the answers of the three questions, Tim received 8 texts on Monday,4 emails on Thursday and 0.52 of the messages were emails.
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Answer:
a= 5
b= 7
c=
Step-by-step explanation:
Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $110 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $2200. How long did each mechanic work?
Answer:
25 Hours
Step-by-step explanation:
It says it in the text
3 in
4 in
2 in What is the area of the shape?
Find the slope of the lined graph
The slope of the lined graph is 5 / 3
How to determine the slope
The formula for determining the slope of a line is expressed as;
Slope = y2 - y1/ x2 - x1
From the graph shown;
y1 = -1y2 = 4x2 = 3x1 = 0Now, let's substitute the values
Slope, m = 4 - (-1) / 3 - 0
Find the differences
Slope, m = 4 + 1/ 3
Slope, m = 5 / 3
Thus, the slope of the lined graph is 5 / 3
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If Zendaya travels $5 and 3/7 of a mile in 3 hours on her roller skates. How far will she
travel in 1 hour?
1 and 17/21 miles per hour
7/114 miles per hour
114/7 miles per hour
16 and 2/7 miles per hour
Zendaya will travel $ 1 and 17/21 of a mile per hour on her roller skates.
Zendaya travels $5 and 3/7 of a mile in 3 hours on her roller skates. We can simply write this statement in mathematical form as,
Total distance covered by Zendaya in 3 hours on her roller skates = $( 5 + ( 3/7 ) of a mile
Total distance covered by Zendaya in 3 hours on her roller skates = $ ( ( 35 + 3)/7 ) of a mile
Total distance covered by Zendaya in 3 hours on her roller skates = $ ( 38/7 )
Total distance covered by Zendaya in 1 hours on her roller skates = $ (( 38/7 )/3 ) = $ (38/21) of a mile
or we can write also write ( 38 /21 ) miles per hour as ( 1 and 17/21 ) miles per hour.
So, Zendaya will travel $ 1 and 17/21 of a mile per hour on her roller skates.
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Write a one-variable equation or inequality with variables on both sides to describe the problem situation. Complete Steps 1 - 3 in order.
Two drones are descending from the sky in vertical lines. A black drone is currently at an altitude of 1,170 feet and is dropping at a rate of 64 feet per minute. A white drone is at an altitude of 966 feet and is dropping at a rate of 52 feet per minute. How many minutes will it take for the two drones be at the same altitude? Use the variable `n` to represent the unknown quantity.
The number of minutes that it will take for the two drones be at the same altitude is 17 minutes.
How to illustrate the information?It should be noted that ablack drone is currently at an altitude of 1,170 feet and is dropping at a rate of 64 feet per minute. The expression will be:
1170 - 64m
The white drone is at an altitude of 966 feet and is dropping at a rate of 52 feet per minute. This will be 966 - 52m where m = number of minute
Therefore, we will equate both equations. This will be:
1170 - 64m = 966 - 52m
Collect like terms
-64m + 52m = 966 - 1170
12m = 204
Divide
m = 204 / 12
m = 17
Therefore, the number of minutes that it will take for the two drones be at the same altitude is 17 minutes.
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The point (-2,8) is on the graph of y=f (x), which point must be on the graph of y=-f(x)
The point on the graph y = -f(x) is (-2 , -8)
According to the question the coordinates we have been given is (-2 , 8) and it is on the graph y = f(x)
That is we have been given that
f(-2) = 8 (1)
Now we have to find the point on the graph y = -f(x)
So we will choose the value of x = -2 in f(x)
Thus, putting the required value we get
y = - f(-2)
As the value of f(-2) is 8 from equation (1). we will equate the value in the above equation we get
y = -(8)
y = -8
Hence the point on the graph is (-2 , -8)
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The telephone company offers two billing plans for local calls. Plan 1 charges $21 per month for unlimited calls and Plan 2 charges $15 per month plus $0.06 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
a. Let x represent the number of monthly calls.
Answer:
Step-by-step explanation:
The number of monthly calls for which Plan 1 is more economical than Plan 2 is 200 calls
If more than 200 calls are made, the plan 1 charge will be more than plan 2.
Let the number of charges per month be x
If plan 2 charges $16 per month plus $0.04 per call, this is expressed as 0.04x + 16
Price that pan 1 charges = $24
If Plan 1 is more economical than Plan 2, this is expressed as:
0.04x + 16 > 24
Subtract 16 from both sides:
0.04x + 16 - 16 > 24 - 16
0.04x > 8
x = 6/0.04
x = 200
This shows that if more than 200 calls are made, the plan 1 charge will be more than plan 2.
K
ZRQT is a straight angle. What are mZRQS and
mZTQS?
mZRQS=
mZTQS=
ICCEID
R
30% /
(15x + 1)º
(10x + 4)º
Answer:
m∠RQS = 106°m∠TQS = 74°===============================
Use angle addition postulate:
m∠RQT = m∠RQS + m∠TQSSubstitute the values and solve for x:
180 = 15x + 1 + 10x + 4180 = 25x + 5175 = 25xx = 175/25x = 7Find the angle measures:
m∠RQS = 15*7 + 1 = 106m∠TQS = 10*7 + 4 = 741 + ((-2 / 3) - ((-9 / 2)