The dimensions are 24 by 13.5 cm
How to determine the dimensions of the rectangle?The given parameters are
Length = 3 cm less than twice the width
This means that
L = 2W - 3
Where
L represents Length and W represents Width
The perimeter is given as
P = 75 cm
The perimeter is calculated as
P = 2*(L + W)
So, we have
2*(L + W) = 75
This gives
2*(2W - 3 + W) = 75
Evaluate
2*(3W - 3) = 75
Divide by 2
3W - 3 = 37.5
So, we have
3W = 40.5
Divide by 3
W = 13.5
Recall that
L = 2W - 3
So, we have
L = 2 * 13.5 - 3
Evaluate
L = 24
Hence, the dimensions of the rectangle are 24 by 13.5 cm
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Reflect point M across the axis
Answer:
coordinates (-4,6)
Answer:
C the answer is v
Step-by-step explanation:
if this wrong mark this as brainliest
pleaseee help, question what is the sum of 4x^2 + 2x - 5 and 7x^2 - 5x + 2
Answer:
Add the expressions.
11x2−3x−3
Step-by-step explanation:
Simplification of polynomials.
Polynomials are mathematical expressions made up of many terms.To simplify a polynomial the most, you must collect all like terms and rearrange them from highest to lowest power.
4x² + 2x -5 + 7x² - 5x+24x² + 2x -3 + 7x² - 5x+211x² + 2x - 3 - 5x11x² - 3x - 3 ====> Option "A"A cube is being compacted. Given that the volume decreases at a rate of 2 cubic meters per minute, find the rate of change of an edge of the cube when the volume is exactly 27 cubic meters.
The rate of change of an edge of the cube is 0.074 m/min.
What is the rate of change of volume of cube?The rate at which the volume of the cube changes is calculated as follows;
dv/dt = 2 m³/min
where;
v is the volume of the cubeThe length of edge of the cube will be denoted with a, and it is related to the volume of cube in the following equation.
v = a³
a = v^¹/₃
where;
a is the length of the edgeThe change in the edge with volume;
da/dv = 1/3 (1/v)^2/3
The change in edge of the cube with time is given as;
da/dt = da/dv . dv/dt
da/dt = 1/3 (1/v)^2/3 x 2 m³/min
da/dt = 1/3 (1/27)^2/3 /m² x 2 m³/min
da/dt = 1/27 x 2 m/min
da/dt = 2/27 m/min
da/dt = 0.074 m/min
Thus, the rate at which the edge of the cube changes with time is smaller compared to the volume.
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I need this answered please
Answer:
x=45
Step-by-step explanation:
20-.24=9.2
A table showing Rate in kilometers per hour, Time in hours, and Distance in kilometers. The first row shows, Trip 1, and has 40, 0.9 minus x, and 40 left-parenthesis 0.9 minus x right-parenthesis.
Talia took the bus from her home to the bank and then walked back to her home along the same route. The bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. To determine the time, x, that it took Talia to walk home, she used the equation
40(0.9 – x) = 5x.
The time of Trip 2 is
hours.
The distance of Trip 1 is
km.
Answer:The time of Trip 2 is
⇒ 0.8 hours.
The distance of Trip 1 is
⇒ 4 km.
The time of Trip 2 is 0.8 hours
The distance of trip 1 is 32 km
Given,
The speed of the bus = 40 km/h
Talia's walked at a speed = 5 km/h
To determine the time,x for her walk here used the equation; 40(0.9 – x) = 5x.
We have to find the time from Talia's home to bank in bus and the distance.
Here,
Equation is already given, we can simplify it and get x which is the time.
40(0.9 – x) = 5x.
36 - 40x = 5x
36 = 40x + 5x
36 = 45x
x = 36/45
x = 0.8 hours = 0.8 x 60 = 48 minutes
Now,
Distance from Talia's home to bank;
Speed = distance/time
Distance = speed x time = 40 x 0.8 = 32 km
That is,
The time of Trip 2 is 0.8 hours
The distance of trip 1 is 32 km
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In a boxplot, if the median is to the left of the center of the box and the right whisker is substantially longer than the left whisker, the distribution is skewed.
The distribution is skewed to the right if the median is to the left of the center of the box and the right whisker is substantially longer the the left whisker
In a boxplot of distribution, the following are the scenarios:
When the median is at the middle of the box, and the whisker are about the same on both ends of the box, the distribution is symmetric.When the median is to the right of the box, the right whisker will be substantially longer than the left whisker and the distribution is skewed to the rightWhen the median is to the left of the box, the left whisker will be substantially longer than the right one, and the distribution will be negatively skewed or skewed to the leftLearn more about Boxplot distribution here:
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A city is paving a bike path. The same length of path is paved each day. After 4 days, 15 miles of path remain to be paved. After 6 more days, 12 miles of path remain to be paved. Find the average rate of change.
15 km of walkway still need to be paved after 4 days. There are still 12 miles of trail to be paved after another 6 days. The average rate of the change is 24.
Given that,
The paving of a bike route by a city. Every day, the same amount of the path is paved. 15 km of walkway still need to be paved after 4 days. There are still 12 miles of trail to be paved after another 6 days.
We have to find the average change rate.
1st we find the slope with the points (4,15) and (6,12).
Slope =[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Slope=[tex]\frac{12-15}{6-2}[/tex]
Slope=-3/4
Now,
y=mx+b
15=-3/4(4)+b
b=15+3
b=18
We got the equation of line as y=-3/4x+18
Now take y=0
0=-3/4x+18
-3/4x=-18
x=(18×4)/3
x=72/3
x=24
Therefore, the average rate of the change is 24.
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what is7.9 times 0.99
Answer:
7.821 or 7821/1000
Step-by-step explanation:
Answer:
7.821
Step-by-step explanation:
I need help with qeustion 36 please
Answer:
8 + 2(x + 3) = 2x + 14
Would be infinitely many solutions.
Step-by-step explanation:
8 + 2x + 6 = 2x + 14
2x + 14 = 2x + 14
0 = 0; True
All real numbers
y( x+a ) m solve for the variable x.
Answer:
x=y/m-a
Step-by-step explanation:
y=(x+a)m
Divide m on both sides
y/m=x+a
Subtract a on both sides
y/m-a=x
A family is taking a trip to a maill 45 miles away. They have seven gallons of gas in their car's fuel tank and the car gets 22 miles per gallion on this trip. Explain why it is okay to estimate the fuel supply for the trip.
Trip of 45miles with seven gallons of gas in a car and car gets 22 miles per gallon ,estimate fuel supply for trip is 2 gallons.
As given in the question,
Total distance covered in family trip is 45 miles
Total fuel in car is seven gallons
Average of the on trip=22 miles per gallon
Estimate fuel supply for trip =(45 miles )/(22 miles per gallon)
=2.04545gallons
≈2gallons(approximately)
As the fuel used in the trip is 2.04545.. gallons which is nearest to the 2 gallons, it is okay to estimate the fuel supply.
Therefore, trip of 45 miles with 7gallons of gas in a car with average 22 miles per gallon ,estimate fuel supply for trip is 2 gallons.
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90 is what percent of 81?
Step-by-step explanation:
did you change the reference number ?
I think the original question was "90 is how many % of 80 ?"
now it is 81.
in % calculations the most important things to identify :
what are 100% (or any other reference % level).
then what is 1%.
and then multiply this 1% by the desired number of % or divide the target number by this 1% to find out how many % the target number is.
in our case here
100% = 81
1% = 100%/100 = 81/100 = 0.81
how many % are 90 ?
well, as many as how often 1% fits into these 90 :
90/0.81 = 111.111111111... %
when the reference was 80, then we had
90/0.8 = 112.5%
Can someone help. fill fill
Answer:
x = 13
calculations in the pic hope it helps
Answer is 13
Step by step
1.4 + x / 6 = 2.4
We want to get rid of the 6 first
It is a divide so we want to do the inverse, which is multiply both sides by 6
1.4 + x * 6/ *6 = 2.4 * 6
Combine (the 6/6 becomes 1)
1.4 + x = 14.4
Now we want to isolate the x
Subtract 1.4 from both sides to solve for x
1.4 - 1.4 + x = 14.4 - 1.4
Combine
x = 13
mp Learning
A fair costs $28 for admission plus $3 for each roller coaster ride.
Given that x represents the number of roller coaster rides, choose the algebraic expression that models this situation.
A
B
D
E
28x + 3
31x
31
28 + 3x
You answer is: 28 + 3[tex]x[/tex]
Since $28 is a one-time fee and does not have to be paid again for each and every ride, it does not need a variable in front of.
But for every ride you want, you pay $3 so you need the variable "[tex]x[/tex]" which represents how many times you ride.
For example, if you ride the roller coaster once, your total amount, in dollars, will be:
T = 28 + 3 * (1)
T = $31
But if you ride the roller coaster 3 times, your cost, in dollars, will be:
T = 28 + 3 * (3)
T = 28 + 9
T = $37
A line that includes the points (c, -10) and (-8,-8) has a slope of -1/8 what is the value of c
Answer:
gradient= y2-y1/x2-x1
-8+10/-8-c=-1/8
2/-8-c=-1/8
-1(-8-c)=8(2)
8+c=16
c=16-8
c=8
In 3–5 sentences, explain why the moon appears to be less bright than the sun despite its very close distance to Earth. PLEASE DO NOT COPY OTHER PEOPLE AND RIGHT THISBased on scientific observations and findings, the reasons the moon appears to be less bright than the sun despite its very close distance to earth are the following:
Moon doesn't produce its light but rather takes or reflects the light from the Sun.
Moon only reflects about 12 percent maximum of lights that shines on it from the sun.
Externally, Moon is made of dark-colored soil often referred to as lunar soil. This is unlike the Sun which is made of hydrogen and helium, whose atoms are very light.
Also, Sun is about 400 times bigger than the Moon.
Hence, in this case, it is concluded that there are many reasons the moon appears to be less bright than the sun despite its very close distance to earth. MAKE IT SIMPLE
Answer:
Since the moon has no atmosphere, all wavelengths of sunlight reach the ground by traveling straight through space. Our sun appears white because it produces all visible wavelengths approximately equally. The sun will appear the same size whether viewed from Earth or the Moon since Earth and the moon are relatively close to the sun. The sun and moon both have an apparent size of one-half of a degree when viewed from Earth.
Step-by-step explanation:
Last year, Ken bought a mountain bike for $400. It is now worth $320. What percent
did the value of Ken's bike depreciate over the past year, to the nearest whole
percent?
The percent by which the value of Ken's bike depreciated over the past year is 20%.
What is the percentage deprecation?
Depreciation is the decline in the value of an asset with the passage of time. Depreciation is as a result of wear and tear of an asset. The price of an item would decline when it depreciates.
Percentage is the fraction of an amount that is expressed as a number out of hundred. Percentage is used to measure the frequency of data. The sign that represents percentage is %. To convert a number to percentage, multiply the number by 100.
Percent depreciation = (value of the mountain bike today / value of the mountain bike last year) - 1
($320 / $400) - 1 = -0.20
0.20 x 100 = 20%
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The coordinates of point T are (0,5). The midpoint of ST is (5,-8). Find the coordinates of point S.
The other endpoint is
(Type an ordered pair.)
... HELP PLS!!!!
can anyone tell my how they came up with the net force? (purple arrow)
Answer:
5 m/s
Step-by-step explanation:
1. 3² + 4² = 25
2. √25 = 5
a new test has been developed to determine whether a given student is overstressed. this test is 95% accurate if the student is not overstressed, but only 85% accurate if the student is in fact overstressed. it is known that 99.5% of all students are overstressed. given that a particular student tests negative for stress, what is the probability that the test results are correct, and that this student is not overstressed?
The probability that the test results are correct, and that this student is not overstressed is mathematically given as
3.08%
This is further explained below.
What is probability?Generally,
Let A: student is overstressed
B: The test is positive. Given
[tex]P(\bar{B} / \bar{A})=0.95, P(B / A)\\P(\bar{B} / \bar{A}) =0.85, P(A)\\P(\bar{B} / \bar{A})=0.995, \\[/tex]
[tex]P\left(\frac{\text { correctresult }}{\text { Test negative }})=P(\bar{A} / \bar{B}) \\\\ =\frac{P(\bar{A} \cap \bar{B})}{P(\bar{B})} \\\\ =\frac{P(\bar{A} \cap \bar{B})}{P(\bar{A} \cap \bar{B})+P(A \cap \bar{B})}\right.[/tex]
[tex]=\frac{P(\bar{B} / \bar{A}) P(\bar{A})}{P(\bar{B} / \bar{A}) P(\bar{A})+P(\bar{B} / \bar{A}) P(A)} \\\\=\frac{0.95 \times 0.005}{0.95 \times 0.005+0.15 \times 0.995} \\[/tex]
=0.0308
=3.08%
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
a
Solve.
4x +6 <−6
b
Solve.
−2/5 x −9 < 9/10
bbbbbbbbbbbbbbb bbbbbbbbbbbbbb
a researcher is interested in the sleeping habits of students at the local state college. the average number of hours spent sleeping each night for the entire set of students enrolled at the college is an example of a .
One example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.
What do we mean by a parameter?In mathematics, a parameter is a variable whose range of possible values identifies a number of unique cases in a problem. A parametric equation is any equation that is expressed in terms of parameters. To describe the entire population under study, a parameter is used. For instance, we are interested in learning the typical length of a butterfly. This information about the entire butterfly population makes it a parameter. The local state college's students' sleeping patterns are of interest to a researcher. One example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.Therefore, one example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.
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The correct question is given below:
A researcher is interested in the sleeping habits of students at the local state college. The average number of hours spent sleeping each night for the entire set of students enrolled at the college is an example of a ____.
What is the least common multiple of 10 and 20?
Answer:
20
Step-by-step explanation
We need to find the multiples of 10 and 20 (multiples of 10 = 10, 20, 30, 40; multiples of 20 = 20, 40, 60, 80) and choose the smallest multiple that is exactly divisible by 10 and 20, i.e., 20.
Answer:
20
Step-by-step explanation:
First, find the factors of both 10 and 20
Factors of 10: 1, 2, 5, 10
Factors of 20: 1, 2, 4, 5, 10, 20
Notice any common factors?: 1, 2, 5, 10
Now multiply the greatest common factor, 10, with another even number to hopefully get 20: 10*2=20.
Hence, the least common multiple is 20.
pleaseeee helpp nowwwwwwwww :/
.
.
.
Find the value of m: −3(m − 4) = −6
m = −6
m = −2
m = 2
m = 6
The solution of the equation is m = 6.
How to find the variable of an equation?The variable to find is variable m.
The equation is as follows:
−3(m − 4) = − 6
Hence, let's open the bracket on the left side of the equation
−3(m − 4) = − 6
- 3m + 12 = -6
subtract 12 from both sides of the equation
- 3m + 12 = -6
- 3m + 12 - 12 = -6 - 12
- 3m = - 18
divide both sides of the equation by -3
- 3m / - 3 = - 18 / -3
Therefore,
m = 6
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Answer:
m = 6Step-by-step explanation:
Find the value of m: −3(m − 4) = −6
m = −6
m = −2
m = 2
m = 6
-3(m - 4) = -6
-3m + 12 = -6
-3m = -6 - 12
- 3m = -18
m = -18 : (-3)
m = 6
-----------------------------
check-3(6 - 4) = -6
-18 + 12 = -6
-6 = -6
the answer is goodis 4.887888 a rational number
Exterior angle, theorem, and triangle sum theorem
Answer:
x = 4Step-by-step explanation:
It is assumed you are looking for the value of x.
According the diagram, we have:
∠JEF is exterior angle to triangle EFG and ∠F and ∠G are remote interior angles.Property of exterior angle - it is same as the sum of remote interior angles.
Set equation:
m∠F + m∠G = m∠JEF16x + 4 + 14x + 6 = 13030x + 10 = 13030x = 120x = 4It is easy to calculate the unknown angle measures if needed:
m∠F = 16*4 + 4 = 68m∠G = 14*4 + 6 = 62What's 4/9+9/18 please help with this thanks you
After solving the equation 4/9+9/18, we have to come to find the solution is 1.57.
What is an equation?An equation can be defined in a number of different ways. An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.
In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." There are one or more variables in even the most fundamental and straightforward algebraic equations.
The value of the variable that makes the equation a true statement is the solution of the equation.
We have been asked to solve the equation 4/9 + 9/8
Lets solve
⇒ 4/9 + 9/8
⇒ (32+81)72 (finding the LCM of denominators and multiplying with
⇒ (32+81)72 numerators)
⇒ 113/72
⇒ [tex]1\frac{41}{72}[/tex]
⇒ 1.57
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What is the right answer
No solution is the answer of inequality.
What is inequality
The relationship between two values in an imbalanced algebraic statement is represented by an inequality in mathematics. One of the two variables can be larger than, more than or equal to, smaller than, or equal to another value by using a sign of inequality. Make use of the following steps to solve an inequality: Step 1: Remove fractions by multiplying all terms by the fractions' lowest common denominator. Step 2 Combine like terms on both sides of the inequality to simplify. Step 3 Obtain the unknown on one side and the integers on the other by adding or subtracting quantities.
Given Data
[tex]\frac{4}{3}[/tex]g - 3< g + [tex]\frac{2}{3}[/tex] - [tex]\frac{1}{3}[/tex]g
([tex]\frac{4}{3}[/tex]g - g) + [tex]\frac{1}{3}[/tex]g <( [tex]\frac{2}{3}[/tex] + 3)
Taking LCM,
[tex]\frac{4e+3e+1e}{3}[/tex] < [tex]\frac{2+9}{3}[/tex]
8g < 11
g < [tex]\frac{11}{8}[/tex]
No solution is the answer of inequality.
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Describe the slope of the line. (0, 3) (5,-1) m= The slope is negative Find the slope.
Answer:
Step-by-step explanation:
Slope formula: m=[tex]\frac{rise}{run}[/tex] so m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]y_1[/tex]=3
[tex]y_2[/tex]=-1
[tex]x_1[/tex]=0
[tex]x_2[/tex]=5
So the formula is, [tex]\frac{(-1)-3}{5-0}[/tex] = [tex]\frac{-4}{5}[/tex]
Slope is negative.
Slope is -4/5
Monica made strawberry lemonade to serve at her birthday party. In a large pitcher, she mixed 8 ounces of strawberry puree and 40 ounces of lemonade. She had some strawberries left over, so she made another smaller batch. She mixed 5 ounces of strawberry puree and 20 ounces of lemonade in a small jug. Which container's strawberry lemonade had a stronger strawberry flavor?
The container's strawberry lemonade that had a stronger strawberry flavor is the more compact bottle and has a more robust taste.
This is further explained below.
What is the stronger strawberry flavor?Generally, in a bid to understand the context of the scenario we must first write the rato of the flavor's relationship
x=8:40
y=5:20
Therefore
x=8:40
y=10:40
In conclusion, This helps us decipher that Larger container: We add eight ounces of strawberry puree for every forty ounces of lemonade that we make.
We have 10 ounces of strawberry puree for every 40 ounces of lemonade that we have.
Therefore, the more compact bottle has a more robust taste.
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