Answer:
The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.
The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm; therefore the length of the actual parking lot is 48/4 = 12 feet.
To find the actual length of a parking lot based on a scale drawing, you need the scale, which is often given as a ratio like '1 cm : 10 ft'. You would multiply the length on the drawing by the scale value to get the actual length. However, without the scale, a definitive answer cannot be provided.
Explanation:To find the actual length of the parking lot, you need to know the scale of the drawing, which is not provided in the current question. The scale is usually expressed as a ratio, essentially representing a conversion factor. An example could be '1 cm : 10 ft', meaning every one centimeter on the drawing represents ten feet in real life.
Let's say the scale is '1 cm : 10 ft' as an example. You would then multiply the scale value (10 ft) by the length of the parking lot on the drawing (3.2 cm). So: 3.2 cm * 10 ft/cm = 32 ft. Hence, in this example, the actual length of the parking lot would be 32 feet. However, without the scale, we cannot provide a definitive answer.
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-2 2/3 as a improper fraction
-2 2/3 as an improper fraction would be -8/3
Hope this helps :)
Answer:
-8/3
Step-by-step explanation:
-2 2/3
Leave the negative outside
Take the denominator and multiply it by the whole number
3*2 =6
Then add the numerator
6+2 =8
Put that over the denominator
8/3
Bring back the negative that was on the outside
-8/3
Please help me out with this homework question
Ms. Tod has 17 softballs. Her gym class makes 3 teams. Ms. Tod gives the teams
as many softballs as she can, and each team gets the same number of softballs.
How many softballs does Ms. Tod give each team? How many softballs are left?
Answer:
5 for each team, 2 left over
Consider the system of equations.
y = –2x + 4,
3y + x = –3
Which statement is true of this system of equations?
Both equations are in slope-intercept form.
The first equation converted to slope-intercept form is y + 2x = 4.
The second equation converted to slope-intercept form is .
Neither equation is in slope-intercept form.
Answer:
The second equation converted to slope-intercept form is y = (-⅓)x - 1
Step-by-step explanation:
y = –2x + 4,
(In the slope intercept form)
3y + x = –3
(Not in the slope intercept form)
3y = -x - 3
y = (-⅓)x - 1
of the 300 students in 8th grade, 180 take PE, 80 take art. 72 take music, 33 take PE and art, 28 take PE and music, and 20 take all three
classes
M= all students taking music
A= all students taking art
P= all students taking PE
Which of the sets has more than 150 students? Select all that apply
AUM
POM
PNAM
PUAUM
1- (PNA)
Answer:
The sets has more than 150 students
P∪A∪M
-(P∩A)
Step-by-step explanation:
See the attached figure which represents Venn diagram for the question:
180 take PE
80 take art
72 take music
33 take PE and art
28 take PE and music
20 take all three
M= all students taking music
A= all students taking art
P= all students taking PE
Number of students taking PE and art only = 33 - 20 = 13
Number of students taking PE and music only = 28 - 20 = 8
Number of students taking PE only = 180 - (20 + 13 + 8) = 139
Number of students taking ARt only = 80 - (20 + 13) = 47
Number of students taking Music only = 72 - (20 + 8) = 44
Number of students doesn't take any thing =
300 - (20 + 13 + 8 + 139 + 47 + 44) = 29
We will check the options to find the sets has more than 150 students:
1) A∪M = 13 + 47 + 20 + 8 + 44 = 132 < 150
2) P∩M = 20 + 8 = 28 < 150
3) P∩A∩M = 20 < 150
4) P∪A∪M = 20 + 13 + 8 + 139 + 47 + 44 = 271 > 150
5) -(P∩A) = 300 - (13+20) = 267 > 150
So, The sets has more than 150 students
P∪A∪M
-(P∩A)
Ashley picked up 15 rocks. 3 igneous, 3 metamorphic, and 9 sedimentary. What is the ratio of sedimentary rocks to the total number of rocks?
Answer:
9:6 or 3:2
Step-by-step explanation:
Answer:
9:15 or 3:5
Step-by-step explanation:
There are 9 sedimentary rocks, and there are 15 total rocks. So the ratio would be 9:15 OR you could say 3:5 in simplest form.
Hope this helped! :)
Find the measure of Arc QRM
Answer:
200°
Step-by-step explanation:
The angle subtended at the centre is equal to the measure of the intercepted arc, thus
arc MQ = 85° + 75° = 160°
The measure of the circle is 360°, thus
arc QRM = 360° - 160° = 200°
13. (09.06 LC) A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function? (5 points) graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37 f(x), because an increasing quadratic function will eventually exceed an increasing exponential function g(x), because an increasing exponential function will eventually exceed an increasing quadratic function f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect g(x), because an increasing quadratic function will always exceeds an increasing exponential function until their graphs intersect
Answer:
g(x), because an increasing exponential function will eventually exceed an increasing quadratic function
Step-by-step explanation:
From data, we know that for greater x values, g(x) is greater than f(x).
It is also known that exponential function has greater values than quadratic function for large enough x values.
Find the Surface area AND Volume of the figure. Round to the nearest hundredths.
Answer:
SA= 902.88 yd²
V = 1386.24 yd³
Step-by-step explanation:
Surface area
Since the bases are right triangles, you need to find the base of the triangle. Use Pythagorean theorem as you are given the hypotenuse and one leg.
19² = 15.2² + b²
361 = 231.04 + b²
Subtract 231.04 from both sides
b² = 129.96
Root that
b = 11.4
Now that you have the base, find the areas of the triangles and rectangles.
Triangles - (15.2*11.4)1/2 (2)
15.2*11.4 = 173.28
Rectangles - (15.2)(16) = 243.2
(16)(11.4) = 182.4
(16)(19) = 304
Add them all together and the SA equals 902.88 yd²
Volume
V = Bh
V = 1/2(15.2)(11.4)(16)
V = 1/2 (2772.48)
V = 1386.24 yd³
Q: Find the area of the figure shown below and choose the appropriate result.
3 m
2 m
4
m
Pleaseeeee helppppppppp
Answer:
1)
b= -7
m=1
2)
b= 4
m=0
3)
b=3
m=-2
Step-by-step explanation:
Answer:
1 . m=1 b =7
2.m=0 b = 4
3. m= -2 b = 3
your welcome mark branliest if possible thanks
A hot air balloon descended 2,250 feet in 15 minutes. Find the change in altitude per minute (show the process).
PLEASE HELP
Answer:
Step-by-step explanation:
In order to find the rate of change in altitude per minute, divide 2250 by 15 , which equals 150 feet per minute.
Answer:
150 per minute
Step-by-step explanation:
Divide 2250 by 15 to find the rate per minute
Can someone please help me on 1-4
Answer:
Step-by-step explanation:
A man has 12 coins in his pocket all of which are dimes and quarters if the total value of his change is 225 cents how many dimes and how many quarters does he have
Answer:
Quarters = 7
Dimes = 5
Step-by-step explanation:
Let d = dimes and q = quarters:
d+q = 12
10d+25q = 225
Solve for d:
d = 12-q
Substitute it into the second equation:
120+15q = 225
Subtract 120 from both sides:
15q = 105
Divide by 15 in both sides
q = 7
By setting up a system of linear equations based on the given conditions, we find that the solution involves having 9 dimes and 3 quarters. These numbers satisfy the conditions that there are 12 coins in total which combine to be worth 225 cents.
Explanation:This question is about solving a system of linear equations. Let's assign variable 'd' to the quantity of dimes and 'q' to quarters. We know from the problem that:
d + q = 12, which represents the total number of coins;10d + 25q = 225, with dimes worth 10 cents each, and quarters worth 25 cents each, their total value must be 225 cents.To solve for 'd' and 'q', we can use substitution or elimination method. In this case, let's isolate 'd' in the first equation: d = 12 - q. Then substitute 'd' into second equation: 10(12 - q) + 25q = 225. After simplifying, you will find q = 3. Subtituting q = 3 back into the first equation, we find d = 9. Thus, the man has 9 dimes and 3 quarters.
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Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature of 64 degrees occurs at 4 PM and the average temperature for the day is 50 degrees. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.
The equation for the temperature D as a function of time t in hours is given by D = 50 + 14 sin[2π/24 (t - 16)]. This equation uses a sinusoidal function to describe the fluctuation of temperature around the average of 50 degrees with an amplitude of 14 degrees.
Explanation:To model the temperature D at a given time, we use a sinusoidal function based on the high and average temperatures. We know the high temperature of 64 degrees occurs at 4 PM (which is 16 hours after midnight), and the average temperature for the day is 50 degrees. This means the amplitude of the function (or the variation above and below the average) is 14 degrees (which is 64-50).
The sinusoidal function can, therefore, be written as follows: D = 50 + 14 sin[2π/24 (t - 16)]. This function describes how, starting from the average temperature of 50 degrees, the temperature fluctuates by 14 degrees in a sinusoidal manner.
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Which expressions have a value of Negative StartFraction 1 Over 64 EndFraction? Check all that apply.
(Negative one-fourth) cubed
Negative (one-fourth) cubed
(Negative StartFraction 1 Over 8 EndFraction cubed
Negative (StartFraction 1 Over 8 EndFraction) squared
(Negative one-half) Superscript 6
Negative (one-half) Superscript 6
Correct Options are:
Option A: (Negative one-fourth) cubed
Option B: Negative (one-fourth) cubed
Option D: Negative (StartFraction 1 Over 8 EndFraction) squared
Option F: Negative (one-half) Superscript 6
Step-by-step explanation:
We need to check the expressions that have value [tex]-\frac{1}{64}[/tex]
Option A: (Negative one-fourth) cubed
[tex](-\frac{1}{4})^3[/tex]
Solving: [tex](-\frac{1}{4})^3[/tex]
We get [tex]-\frac{1}{64}[/tex]
So, Option A is correct.
Option B: Negative (one-fourth) cubed
[tex]-(\frac{1}{4})^3[/tex]
Solving: [tex]-(\frac{1}{4})^3[/tex]
We get [tex]-\frac{1}{64}[/tex]
So, Option B is correct
Option C: (Negative StartFraction 1 Over 8 EndFraction cubed
[tex](-\frac{1}{8})^3[/tex]
Solving: [tex](-\frac{1}{8})^3[/tex]
We get [tex]-\frac{1}{512}[/tex]
So, Option C is not correct.
Option D: Negative (StartFraction 1 Over 8 EndFraction) squared
[tex]-(\frac{1}{8})^2[/tex]
Solving: [tex]-(\frac{1}{8})^2[/tex]
We get [tex]-\frac{1}{64}[/tex]
So, Option D is correct.
Option E: (Negative one-half) Superscript 6
[tex](-\frac{1}{2})^6[/tex]
Solving:[tex](-\frac{1}{2})^6[/tex]
We get: [tex]\frac{1}{64}[/tex]
So, Option E is not correct.
Option F: Negative (one-half) Superscript 6
[tex]-(\frac{1}{2})^6[/tex]
Solving:[tex]-(\frac{1}{2})^6[/tex]
We get: [tex]-\frac{1}{64}[/tex]
So, Option F is correct.
So, correct Options are: Option A, B, D and F
Two lines meet at a point that is also the endpoint of two rays. Set up and solve the
appropriate equations to solve for the values of angles x and y.
Answer:
Angle x=19°
Angle Y=53°
I might be wrong though.
Step-by-step explanation:
Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.
There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.
Angle X=90-71=19
Angle Y=180-37-71-19=53.
need help with this problem
Answer:
¼
Step-by-step explanation:
m1 × m2 = -1
m2 = -1 ÷ -4
m2 = 1/4
Answer:
1/4
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other.
Perpendicular slope = [tex]\frac{-1}{m}[/tex]
The slope (m) of the green line is -4.
To solve the slope of the red line, substituted -4 into the equation:
[tex]\frac{-1}{-4}[/tex]
Solve:
[tex]\frac{-1}{-4}[/tex] which give you [tex]\frac{1}{4}[/tex]
If Maria travels at a rate of speed of 50 mph, How far does she go in an hour?
Answer:50 miles
Step-by-step explanation:
Answer:
50 miles
Step-by-step explanation:
If she goes 50 mph which is the same as 50 miles in a hour. That means that since she traveled for 1 hour she went 50 miles.
What is the range of the data?
Answer:
is the difference between highest and lowest values.
Step-by-step explanation:
Which equation can be used to find the volume of this solid?
Answer:
c
Step-by-step explanation:
The formula of volume for a triangle is V = 0.5 X b X a X h.
Tickets to a local movie theater were sold at $6.00 for adults and $4.50 for students. There were 240 tickets sold for a total of $1155.00. Solve by elimination to find the number of adult tickets sold and the number of student tickets sold
Final answer:
To solve for the number of adult and student tickets sold, the system of equations was created from the given information and solved using the elimination method. The movie theater sold 50 adult tickets and 190 student tickets.
Explanation:
We have two equations based on the information provided about adult and student tickets sold at Family Flicks:
Adult tickets (A) at $6.00 each plus student tickets (S) at $4.50 each, total $1155.00.Let's use elimination to solve this system of equations. To do this, we must eliminate one variable. We can multiply the second equation by -4.5 to align the student ticket coefficient with the first equation:
-4.5A - 4.5S = -1080We then add this equation to the first equation:
6A + 4.5S = 1155-4.5A - 4.5S = -1080(6A - 4.5A) + (4.5S - 4.5S) = 1155 - 10801.5A = 75A = 75 / 1.5A = 50Now that we know there are 50 adult tickets sold, we can find the number of student tickets sold by substituting A into the second original equation:
A + S = 24050 + S = 240S = 240 - 50S = 190The theater sold 50 adult tickets and 190 student tickets.
the radius of a circle is 2 meters. what is the circles circumference
Answer:
12.56
Step-by-step explanation:
Kwan made a sculpture in the shape of a polyhedron. It only has one base that is a triangle. What three-dimensional figure is her sculpture?
Answer:
Triangular pyramid
Final answer:
Kwan's sculpture with a triangular base is a pyramid, specifically called a triangular pyramid or tetrahedron in geometry.
Explanation:
If Kwan made a sculpture in the shape of a polyhedron with only one base that is a triangle, her sculpture is a pyramid. In geometry, a pyramid is defined as a polyhedron that has a polygonal base and triangular faces that converge at a single point, called the apex. Given that Kwan's sculpture has a triangular base, her sculpture would specifically be called a triangular pyramid or tetrahedron.
There are 4 red, 6 green, and 5 yellow pencils in a jar. Once a pencil is selected, it is not replaced. Find each probability.
This question deals with calculating probabilities of selecting specific colors of pencils from a jar without replacement. First, find the probability of each of the events separately, and then find their joint probability if events are happening successively by multiplying the individual probabilities.
Explanation:The subject of this question is probability, and it belongs to the field of Mathematics. You're asked to calculate the probability of selecting certain colors of pencils from a jar. The jar contains 4 red, 6 green, and 5 yellow pencils, making a total of 15 pencils. When a pencil is selected, it is not replaced back in the jar, affecting the probabilities of the following selections.
As an example, the probability of drawing a red pencil first (P(red)) would be the total number of red pencils divided by the total number of pencils which equals 4/15. If you then wanted to select a green pencil, the total number of pencils is now 14 (broader outcome space) as a pencil has been removed and not replaced. So, the probability of drawing a green pencil after a red one (P(green|red)) would be 6/14.
To find the probability of both events happening consecutively (drawing a red pencil then a green one), you would multiply the two probabilities together i.e., P(red and green) = P(red) · P(green|red). Applying the same steps to other combinations and you will be able to calculate all the different probabilities.
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What is the slope of the line through
(2,−2)(2,-2)
(2,−2)
left parenthesis, 2, comma, minus, 2, right parenthesis
and
(9,3)(9,3)
(9,3)
left parenthesis, 9, comma, 3, right parenthesis
?
Answer:
Slope is 5/7
Step-by-step explanation:
the slope of a line is given by;
m = (y-y1)/(x-x2)
Where;
y represents the coordinate of point 1 on the Y-axis
x represents the coordinate of point 1 on the X-axis
y1 represents the coordinate of point 2 on the Y-axis
x1 represents the coordinate of point 2 on the X-axis
Points on a line are written as the ordered pair (x, y)
We are given point 1 (2, -2) and it corresponds to (x, y)
Point 2 (9, 3) and it corresponds to (x1, y1)
Therefore the slope,
m = (-2-3)/(2-9)
m = -5/-7
m = 5/7
Therefore, the slope of the line through (2,−2) and (9, 3) is 5/7
4. Mrs. Sloan is purchasing 3.4 pounds of trail mix that costs $4.25 per pound. How
much change will Mrs. Sloan receive if she gives the cashier $20.00
F. $14.45
G. $12.55
H. $5.55
J. $7.45
The diameter of a bike wheel is 2 ft. How far will the bike go in one rotation of the wheel?
Answer:
6.3 feet
Step-by-step explanation:
diameter is 2ft.
so the "r" radius is half of diameter. i.e 1 ft.
therefore, circumference of wheel =2 x pi x r
2 x 3.14 x 1 = 6.3
Answer:
the circumference of a circle = 6.26 feet
Step-by-step explanation:
to evaluate how far the bike will go in one rotation simply means to find the circumference of the wheel
given that
diameter = 2feet
π = 3.14
recall, that
the formulae for calculating the circumference of a circle = 2πr
note diameter = 2 x radius
radius = diameter / 2
radius = 2/2
radius = 1feet
the circumference of a circle = 2πr
the circumference of a circle = 2 x 3.14 x 1
the circumference of a circle = 6.26 feet
Calculate the number in the middle of 2.7 and 9.5
Answer:
I got 6.1 as the answer!
Step-by-step explanation:
The required number in the middle of the numbers 2.7 and 9.5 is 6.1.
To determine the number in the middle of 2.7 and 9.5.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
The middle number is evaluated as the sum of the numbers divided by 2,
= 2.7 + 9.5 / 2
= 12.2/2
= 6.1
Thus, the required number in the middle of the numbers 2.7 and 9.5 is 6.1.
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Martin took out an 80/20 mortgage to buy a house costing $145,000. The
first (80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What is his total
mortgage payment for this house?
A) $203.27
B) $730.31
C) $808.38
D) $605.11
Answer:
808.38
Step-by-step explanation:
:)