Answer:
24 and 8
Step-by-step explanation:
The formula for the perimeter of the rect. is P = 2W + 2L.
Here, L = 2W + 8, so the area formula becomes:
P = 2W + 2(2W + 8) = 64
Dividing all terms by 2 reduces this to:
W + 2W + 8 = 32, or 3W = 24, or W = 8.
Then: L = 2W + 8 = 2(8) + 8 = 24
Check: does 2W + 2L = 64 when these values for W and L are substituted?
Is 2(8) + 2(24) = 64 true? Yes
The length and width are 24 and 8 respectively.
The length of rectangle will be 8 units.
The width of rectangle will be 24 units.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The length of a rectangle is eight more than twice the width.
The perimeter is 64.
Now,
Let the width of rectangle = x
Then, The length of rectangle = 2x + 8
Here, The perimeter is 64.
So, We get;
2 (length + width) = 64
2 (2x + 8 + x) = 64
2 (3x + 8) = 64
3x + 8 = 64/2
3x + 8 = 32
3x = 32 - 8
3x = 24
x = 8
Thus, The width of rectangle = x
= 8
Then, The length of rectangle = 2x + 8
= 2 × 8 + 8
= 24
Therefore, The length of rectangle will be 8 units.
The width of rectangle will be 24 units.
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14. What is the value of 3A + 6|C|?
A. 27
B. –63
C. 9
D. 63
Answer:
C
Step-by-step explanation:
Given 3A + 6|C|
Finding 3A where A=-9⇒-9×3= -27
Finding 6|C| where |C| is absolute value for |-6 |
6|C|= |6×-6| =36
Hence 3A + 6|C| = -27 +36 =9
A turkey costs $12.75. You have 10$. How many much more do you need ?
Answer:
$2.75
Step-by-step explanation:
I hope this helps you
You need an additional $2.75 to purchase the turkey. In the bat and ball problem, the ball costs $0.05 and the bat costs $1.05.
To determine how much more money is needed to purchase the turkey, you need to subtract the amount of money you have from the cost of the turkey. Since the turkey costs $12.75 and you have $10, you simply calculate $12.75 - $10.00 which equals $2.75. Therefore, you need an additional $2.75 to buy the turkey.
Let's now look at a similar problem. If a bat and ball cost $1.10 in total and the bat costs $1.00 more than the ball, we can set up the equation to find the price of the ball. Let x be the cost of the ball in dollars. Then the bat would cost x + $1.00. Since together they cost $1.10, the equation would be:
x + (x + $1.00) = $1.10.
Solving for x gives:
2x + $1.00 = $1.10
2x = $1.10 - $1.00
2x = $0.10
x = $0.10 / 2
x = $0.05.
So, the ball costs $0.05 and the bat costs $1.05, which is $1.00 more than the ball.
My question is what is 10 + 54 over -6
Answer:
-11
Step-by-step explanation:
64\-6= -10.667 Hope this helps
In Amy’s backyard, there are also chickens and rabbits. There are 5 more chickens than rabbits. The total number of legs is 130. How many rabbits and how many chickens?
Answer:
There are 25 chickens and 20 rabbits
Step-by-step explanation:
Let
x-----> the number of chickens
y ----> the number of rabbits
Remember that
1 chicken has two legs
1 rabbit has four legs
so
2x+4y=130 -------> equation A
x=y+5 -----> equation B
Substitute equation B in equation A and solve for y
2(y+5)+4y=130
2y+10+4y=130
6y=120
y=20 rabbits
Find the value of x
x=y+5
x=20+5=25 chickens
Answer:
20 rabbits . 25 chickens
Step-by-step explanation:
I know where u got them from
Mrs. Montoro's class is participating in the Math Olympics. Each week of the quarter, a challenging math question is posted, and the students individually try to correctly answer the question. The results of the Math Olympics are shown in the dot plot below.
Which of the following statements describe the distribution in the dot plot?
(choose all that is correct)
1. The mean is 5 questions answered correctly
2. most students answered between 3 and 6 questions correctly
3. the median is 5 questions answered correctly
4. the median is 4.5 questions answered correctly
5. most students answered between 5 and 7 questions correctly
6. the mean is 4.5 questions answered correctly
7. the students answered between 1 and 9 questions correctly
Answer: The correct answers are 1, 2, 4, 7
Step-by-step explanation:
Work for each problem:
1.) 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9 Median: 5 * 2 = 10 / 2 = 5
2.) Correct: The most answers were answered between the numbers 3 and 5.
3.) 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9 (add all) = 108 / 24= 4.5
Answer:
the correct answers are
2. most students answered between 3 and 6 questions correctly
3. the median is 5 questions answered correctly
6. the mean is 4.5 questions answered correctly
7. the students answered between 1 and 9 questions correctly
Step-by-step explanation:
for #2-the shape of the data, more than half of the data lies between #3 and #6..so Most students answered between 3 and 6 questions correctly.
for #7-the lowest # of questions answered correctly is 1 and the highest # of questions answered is 9; so it makes Students answered between 1 and 9 questions correctly
which functions have a range of all real numbers ? check all that apply. A. y=csc x B. y=sec x C. y=tan x D. y= cot x
None of these. All of these functions are defined as ratio of trigonometric functions.
Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.
Specifically, we have:
[tex]\csc(x) = \dfrac{1}{\sin(x)}[/tex]
which is undefined at
[tex]\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}[/tex]
[tex]\sec(x) = \dfrac{1}{\cos(x)}[/tex]
which is undefined at
[tex]\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}[/tex]
[tex]\tan(x) = \dfrac{\sin(x)}{\cos(x)}[/tex]
which is undefined at
[tex]\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}[/tex]
[tex]\cot(x) = \dfrac{\cos(x)}{\sin(x)}[/tex]
which is undefined at
[tex]\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}[/tex]
The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 14 mph and the Mystic travels at 18 mph. How far apart will they be in 3 hours?
what you do is you take one of them and multiply their speed by however many hours
in this case
[tex]14 \times 3[/tex]
[tex]18 \times 3[/tex]
then add the product giving you the distance apart
Final answer:
The Serenity and The Mystic will be 96 miles apart after traveling in opposite directions for 3 hours with speeds of 14 mph and 18 mph, respectively.
Explanation:
The question involves calculating the distance between two moving objects, specifically sailboats, traveling in opposite directions. To find out how far apart they will be after a certain time, we use the concept of relative speed.
If The Serenity travels at 14 mph and The Mystic travels at 18 mph, their speeds add up when moving away from each other. Hence, the combined speed at which they are separating is:
(14 mph + 18 mph) = 32 mph.
To find out how far they will be apart in 3 hours:
Distance = Speed × Time
Therefore, Distance = 32 mph × 3 hours = 96 miles.
So, after 3 hours, The Serenity and The Mystic will be 96 miles apart.
HWKAGDAW WJQWIUHYEWLAHC AIUOLHAJLSIA
Answer:
BVLJFBGEJOOEUUUUUUUUVWRBTOUGNJWWHBH
Step-by-step explanation:
What is the average rate of change of the function over the interval x = 0 to x = 8?
f(x)=3x+4
2x+7
Answer:
if f(x) = 3x+4, the rate of change is 4.
if f(x) = 2x+7, the rate of change is 2.
Step-by-step explanation:
We know that the average rate of change over the interval x=0 to x=8 is:
(f(x2) - f(x1))/x2-x1
Where:
x2 = 8
x1 = 0
if f(x) = 3x+4
so f(8)=3(8)+4 = 28
f(0)=3(0)+4 = 4
Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3
On the other hand, if f(x) = 2x+7
f(8) = 2(8)+7 = 23
f(0) = 2(0)+7 = 7
Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2
From the sum of 5 – 9i and -4 + 7i, subtract 14 – 3i. A. -13 + i B. -13 – 5i C. 13 – i D. 13 + 5i E. 13 – 5i
Answer:
A because the sum of 5 - 9i and -4 + 7i is 1 - 2i. And if you subtract 14 - 3i out of that, then you get -13 + i.
How do you find the area of a circle by it's circumference and the circumference of a circle by it's area
20 points PLZZZ answer
Answer
A = C2 / (4 π) for the first question. C = 2*π*square root of (A/π). for the second question.
Step-by-step explanation:
The area of a circle is given by the formula A = π r2, where A is the area and r is the radius. The circumference of a circle is C = 2 π r.
If we "solve for r" in the second equation, we have r = C / (2 π ). Now we use this to replace r in the first equation: A = π [ C / (2 π ) ]2.
When we simplify this, we get A = C2 / (4 π).
Now you can put your value of C into this equation and find A.
To find the area of a circle from its circumference, first find the radius using the circumference and then compute area. To find the circumference from the area, derive the radius from the area and then calculate the circumference.
Explanation:Finding the Area of a Circle from its CircumferenceTo find the area of a circle using its circumference, you first need to find the radius of the circle. The formula to find the radius from the circumference is r = C/(2π), where C is the circumference of the circle, r is the radius, and π is Pi, approximately 3.14159265. After finding the radius, use the formula for the area of a circle, A = πr², where A is the area.
Finding the Circumference of a Circle from its AreaCircumference of a circle can also be determined from its area. The radius can be found using the formula, r = sqrt(A/π), where A is the area of the circle. Once the radius is known, you can find the circumference by the formula, C = 2πr.
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solve this equation for X:
0.5(5-7X)= 8- (4X+ 6)
Answer:
-1
Step-by-step explanation:
0.5(5-7X) = 8 - (4X+6)
Expand the L.H.S by multiplying it by 0.5 and expand the bracket on the R.H.S by multiplying with -1
2.5 - 3.5X = 8 - 4X -6
Collect like terms
-3.5X + 4X = 8 - 6 - 2.5
0.5X = -0.5
Divide both sides by 0.5
X = -1
please try to make the answer short if you can! && it’s worth ten points!
Answer:
A: 105 degree turn
Step-by-step explanation: If you were going east the it would be 75 except for the fact that since you are going west it would be supplementary
Omari is dividing 5 by 6. If he continues the process, what will keep repeating in the quotient?
Answer:
0.833333333333
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
Dividing 5 by 6 not possible, add zero to to 5 to make it 50
so your quotient becomes 0. 8, you then multiply 8 by 6, it gives 48, you subtract 48 from 50, then you get 2 add zero at th back of 2, to make it 20.
Divide 20 by 6 again, then you will get 3, your quotient becomes 0.83, multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2, add 0 at the back of 2 to make it 20.
Divide 20 by 6, you will get 3, your quotient becomes 0.833. Multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2.
Add zero add the back of 2 to make it 20 and repeat the process.
You will keep getting 3
400 degree F is what in Centigrade
Answer:
400° F = 204.4° C
Step-by-step explanation:
We are given a temperature 400 degree in Fahrenheit and we are to convert in into a unit called Centigrade (also known as Celsius).
We know that 0 degree Centigrade is equal to 32 Fahrenheit so we will use the following formula to convert these units:
(32°F − 32) × 5/9 = 0°C
(400°F − 32) × 5/9 = 204.4° C
Final answer:
To convert 400 degrees Fahrenheit to Celsius, you can use the formula: C = (F - 32) * 5/9. So, 400 degrees Fahrenheit is approximately equal to 204.4 degrees Celsius.
Explanation:
To convert a temperature from Fahrenheit to Celsius, you can use the formula: C = (F - 32) * 5/9. To convert 400 degrees Fahrenheit to Celsius, you can substitute the value of F as 400 in the formula: C = (400 - 32) * 5/9 = 204.4. So, 400 degrees Fahrenheit is approximately equal to 204.4 degrees Celsius.
Find the slope of the straight line that passes through (–2, –4) and (3, –5)
Hello there!
The slope is -1/5.
To find the slope, subtract the y values over the x values.
- 5 - - 4 / 3 - - 2 - Since subtracting a negative is the same as adding a positive, you can rewrite the equation like this: - 5 + 4 / 3 + 2.
You are left with -1/5, this cannot be simplified so this is your final answer. I hope this helps and have a great day! :)
For this case we have that by definition, the slope of a line is given by:[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
Only two points are needed through which the line passes.
Where:
[tex](x_ {1}, y_ {1}): (- 2, -4)\\(x_ {2}, y_ {2}) :( 3, -5)[/tex]
Substituting:
[tex]m = \frac {-5 - (- 4)} {3 - (- 2)}\\m = \frac {-5 + 4} {3 + 2}\\m = \frac {-1} {5}\\m = - \frac {1} {5}[/tex]
Answer:
[tex]m=-\frac{1}{5}[/tex]
What is the value of x
Answer:
Step-by-step explanation:
30, the angle is worth 180 and 180-40=140. 140-20=120. 4*30=120
Answer:
x=30
Step-by-step explanation:
4x+20+40=180
4x+60=180
4x=180-60
4x=120
4x/4
120/4
=30
PLZZZZZ make me brainliest!!
Determine the ordered pair that satisfies the equation, 7x-1y=8
The ordered pairs that satisfy the equation 7x - y = 8 include (1,-1) and (9/7, 1).
Explanation:To find an ordered pair that satisfies the equation 7x - y = 8, we can choose a value for either x or y and then solve the equation for the other variable. For example, if we choose x = 1, we substitute this into the equation to find the corresponding y value: 7(1) - y = 8 which simplifies to y = -1. Thus, the ordered pair (1, -1) is a solution to the equation. Another solution could be found by choosing y = 1 and solving the equation for x: 7x - 1 = 8, which gives x = 9/7. Thus, the ordered pair (9/7,1) is also a solution to the equation.
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To determine the ordered pair that satisfies the equation, rearrange the equation to solve for y. Plug in different values for x to find corresponding values for y.
Explanation:To determine the ordered pair that satisfies the equation 7x-1y=8, we need to solve for y.
Rearranging the equation, we get y=7x-8. This equation represents a linear relationship, where the value of y depends on the value of x.
By plugging in different values for x, we can find corresponding values for y.
For example, when x=0, y=(-8).
So the ordered pair that satisfies the equation is (0, -8).
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The second one please
I think it's 27 but I may be wrong.
yeah 27 because you do the butterfly method. you multiply 63 and 12 you get 756 then you divide 756 by 28 and you get 27
Answer:
x = 27
Step-by-step explanation:
let the donominatir be x
28/63 = 12/x
28x = 756
x = 756/28
x = 27
-TheUnknownScientist
Heeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
C &A
Step-by-step explanation:
Just by analyzing the problem you can match up the answers
Solve the problem in your head and the closest answer to that is the answer
Answer:
B and D are equivalent to -3.75+2(-4x+6.1)-3.25x
Step-by-step explanation:
The initial equation is -11.25x+8.45
A is equivalent to 5x+8.1
B is equivalent to 8.45-11.25x
C is equivalent to -7.25x+4.35
D is equivalent to -11.25x+8.45
Hope this helps! Please mark as brainliest!! <3
If the coordinates of the points D,E,F,G, and H are -3,-6,8,11 and 13 respectively which segment is the longest
To determine the longest segment, we calculate the distances between the given points using the distance formula. The longest segment is DE with a distance of approximately 21.43 meters.
Explanation:To determine which segment is the longest, we need to find the distance between each pair of points. Using the distance formula, we can calculate the distance between points D and E, points E and F, points F and G, and points G and H. By comparing these distances, we can determine which segment is the longest.
D = sqrt((-3 - 8)^2 + (-6 - 11)^2) = sqrt(169 + 289) = sqrt(458) ≈ 21.43
E = sqrt((8 - 13)^2 + (11 - 13)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39
F = sqrt((13 - 8)^2 + (13 - 11)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39
G = sqrt((8 - -3)^2 + (11 - 13)^2) = sqrt(121 + 4) = sqrt(125) ≈ 11.18
H = sqrt((13 - -3)^2 + (13 - 11)^2) = sqrt(256 + 4) = sqrt(260) ≈ 16.12
The longest segment is DE with a distance of approximately 21.43 meters.
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Find the area of the Diameter 5 minutes
Answer:
A= 19,63 units.
Step-by-step explanation:
The area of a circle is given by π r^2. Where "r" represents de radius.
In this case we know that de diameter is 5 units. Given that the radius is half of the diameter, then r=5/2 = 2.5 units.
Then the area of a circle is:
A= π r^2 = π (2.5 units)^2 = 19,63 units.
Which equation represents a proportional relationship? A) y = 3x 4 B) y = 3 4x C) y = 3x 4 + 1 D) y = 3 4x + 1
Answer:
A. y = 3x/4
Step-by-step explanation:
a proportional relationship between x and y is a straight line passing through the origin (0, 0).
The equation must be in the form y = kx.
y = 3x/4
y = 3/4x
Answer:
y=3x/4
Step-by-step explanation:
What is the value of u, v, w, x, and y?
Answer: The required values are
u = 140, v = 28, w = 40, x = 40 and y = 20.
Step-by-step explanation: We are given to find the values of u, v, w, x and y from the figure shown.
We see that
the lines AB and CD are parallel to each other and PS is a transversal.
So, we must have
[tex]u^\circ=140^\circ~~~~\textup{[alternate interior angles]}\\\\\Rightarrow u=140.[/tex]
Now, we also have
[tex]u^\circ=5v^\circ~~~~~\textup{[vertically opposite angles]}\\\\\Rightarrow u=5v\\\\\Rightarrow 140=5v\\\\\Rightarrow v=\dfrac{140}{5}\\\\\Rightarrow v=28.[/tex]
Now, from the property of linear pair, we get
[tex]u^\circ+x^\circ=180^\circ\\\\\Rightarrow u+x=180\\\\\rightarrow 140+x=180\\\\\Rightarrow x=180-140\\\\\Rightarrow x=40.[/tex]
Since angles of measure w° and x° are alternate interior angles, so
[tex]w^\circ=x^\circ=40^\circ\\\\\Rightarrow w=40.[/tex]
Again, by using the property of linear pair, we get
[tex]2y^\circ+140^\circ=180^\circ\\\\\Rightarrow 2y+140=180\\\\\Rightarrow 2y=40\\\\\Rightarrow y=\dfrac{40}{2}\\\\\Rightarrow y=20.[/tex]
Thus, the required values are
u = 140, v = 28, w = 40, x = 40 and y = 20.
Bret has a fish tank that holds 320 liquid ounces of water. On average, the water evaporates from the tank at a rate of 3.84 ounces per day. Bret went on vacation for 2 weeks, and asked a friend to feed his fish. The fish tank was full of water when Bret left. To the nearest hundredth, how many liquid ounces of water were left in the tank when Bret returned from his vacation?
Answer:
266.24
Step-by-step explanation:
y=320-3.84d
d represents number of days
320-3.84(14)
=320-53.76
=266.24
Answer:
266.24 ounces
Step-by-step explanation:
2 weeks = 7 x 2 = 14 days
Initial Amount = 320 ounce
Rate = 3.84 ounces/day
Amount of water left
= 320 - 3.84(14)
= 266.24 ounces
Which ordered pair is not a solution of y=-12x-3?
A) (-3,33)
B) (8,-98)
C) (-9,105)
D) (3,-39)
Answer:
B. (8,-98
Step-by-step explanation:
because : x=8.....y=-12(8)-3 =-99
Please Help , Is It A,B,C Or D
Answer:
Im Gonna Have to Say B
Step-by-step explanation:
Given: circle k(O)
m∠OFQ = 52°, m FQ = (5x+1)
Find: x
Answer:
x=15°
Step-by-step explanation:
step 1
Find the measure of arc QD
we know that
The inscribed angle is half that of the arc it comprises.
so
m∠OFQ=(1/2)[arc QD]
substitute the given value
52°=(1/2)[arc QD]
104°=[arc QD]
arc QD=104°
step 2
Find the value of x
Remember that the diameter divide the circle into two equal parts
so
arc FQ+arc QD=180°
we have
arc QD=104°
arc FQ=(5x+1)°
substitute
(5x+1)°+104°=180°
5x=180°-105°
x=15°
6. Alex wants to buy a shirt that
costs $35.00.
• The store is having a 30%-off
sale.
• The sales tax for clothing is 6%.
How much will Alex pay for the
shirt?
Answer: 25.97
Explanation:
First you take 100-30=70
Then 70/100= 0.70
Multiply 0.70 by 35 give you 24.5
Than take 6% this time you will just divide by 100 so will be 6/100=0.06 how you are adding have put 1 in front that will result 1.06
Than take 24.5 multiply by 1.06 and get 25.97
Answer:
Hello, thank you for choosing Brainly to ask your question.
First, we have to find out what would 30% of 35 is.
To answer that, just use a common calculator or find out what 10% of it is and keep adding up.
So, 30 percent of 35 is 10.5.
Next, we have to find out what 6% of 24.50 is.
To find out the answer, you have to really use a calculator to find out. It would be way simpler and easier.
So, open your calculator. Then do "24.50 multiplied by 6%"
We are left with 1.47.
Now add 1.47 to 24.50. Your final answer is 25.97.
Have a good day and I hope I helped.:D
Jana has to solve a system of equations that contains an exponential function and a linear function. She decides to solve graphically and the graph she obtained is shown.
Is the complete solution shown? Why or why not?
A) Yes, since one of the equations is linear the two functions can only intersect once and the intersection point is shown.
B) Yes, since the slope of the line is not as great as the rate of change of the exponential the y-values will be greater and they will only intersect one time.
C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.
D) No, even though the line has a smaller rate of change initially than the exponential, eventually the exponential will have to have a smaller rate of change than the linear since they are the fastest growing functions. Given that there must be at least one more intersection point somewhere near y = -1.
Answer:
If this is USATestPrep the answer is C
Step-by-step explanation:
Answer:
Option C is right.
Step-by-step explanation:
Jana has to solve a system of equations that contains an exponential function and a linear function.
C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.
Exponential will eventually exceed all other functions as they are the fastest growing functions.