The absolute value of the equation will not work because the value of x would have to be negative for the perimeter to be 7 ft plus or minus 0.5 ft.
What is the perimeter of the rectangle?
The perimeter of the rectangle is given as:
Perimeter = 2(Length + Breadth)
The perimeter of a rectangle is 7 feet plus or minus 0.5 feet.
So, we have:
Perimeter = 2(Length + Breadth) = 7 feet ± 0.5 feet.
Then Substitute values for length and width
2(Length + Breadth) = 7 feet ± 0.5 feet.
2(4 + x) = 7 feet ± 0.5 feet.
Now,
2(4 + x) = 7 feet + 0.5 feet.
8 + 2x = 7.5 ft
2x = 7.5 - 8
x = -0.25 ft
2(4 + x) = 7 feet - 0.5 feet.
8 + 2x = 6.5 ft
2x = 6.5 - 8
x = -0.75ft
Here Both values of x are negative.
This means that the absolute value model can't work, because a rectangle cannot have a negative dimension.
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Beginning with the equation x=-27 write the new equation produced by dividing both sides by 3
Answer:
[tex]\frac{x}{3}=-9[/tex]
WILL GIVE BRAINLIEST write your answer as a simplified mixed number please show your work
Answer:
Step-by-step explanation:
Given equation...
[tex]-2\frac{1}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex] =
Step One...
= [tex]\frac{-5}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex]
Step Two...
= [tex]\frac{-10}{3}[/tex]
Step Three...
= -3[tex]\frac{1}{3}[/tex]
Hope this helps!
Estimate the sum by rounding each number to the nearest hundredth: 0.087+0.043 that's my question
To round each number to the nearest hundredth, you need to look th
The radius of a circle is 18 ft. Find its área un terms of pi
Answer
Area = 324π ft²
Explanation
The area of a circle is given as
Area = πr²
where
π = pi
r = radius of the circle = 18 ft.
Area = πr²
Area = π (18²)
Area = 324π ft²
Hope this Helps!!!
The point (3,-1)( 3 , − 1 ) is a solution to this system of equations:
The system of equations we have is:
[tex]\begin{gathered} -3x-2y=-7 \\ x+4y=1 \end{gathered}[/tex]And we need to check if the point (3,-1) is a solution.
Step 1. Identify the values of x and y from the point.
In a point, the first number represents the x-value, and the second number represents the y-value. So in point (3,-1) 3 is the x-value, and -1 is the y-value:
[tex]\begin{gathered} x=3 \\ y=-1 \end{gathered}[/tex]Step 2. Substitute the x and y-value into the first equation and check that the result is equal to -7.
The first equation is:
[tex]-3x-2y=-7[/tex]Substituting x=3 and y=-1:
[tex]-3(3)-2(-1)=[/tex]Solve the operations:
[tex]-9+2=-7[/tex]Since we get -7 as the result, (3,-1) is a solution for the first equation. But we still need to check if the point is a solution for the second equation.
Step 3. Substitute the x and y values into the second equation and check that the result is 1.
The second equation of the system is:
[tex]x+4y=1[/tex]Substituting x=3 and y=-1:
[tex]3+4(-1)=[/tex]Solving the operations:
[tex]3-4=-1[/tex]The result we get is -1, not 1. Thus, since the point (3,-1) is not a solution for the second equation, it is also not a solution to the system of equation.
Answer: False
Credit Card Statement Calculate the newPrevious Balance $120.00 balance on thisFinance Charge $15.00 account after theseNew Purchases $200.00 charges andPayments $(300.00) payments areCredits$0.00applied.A. $35.00B. $635.00C. $235.00D. $395.00
Previous Balance: $120
Finance Charge: $15
New Purchases: $200
Payments: $300
Recall this is a Credit Card Statement.
To find the new balance we must subtract the payments and add the charges:
New Balance = $120 - $300 + $15 + $200
New Balance = $35
Answer: A. $35.00
What is the measure of BOC I couldn’t figure this out.
The arc length formula is :
[tex]\text{arc}=r\theta[/tex]where r = radius and the angle is in radians
From the problem, the arc length is 21π units and the radius is 15 units.
Using the formula above :
[tex]\begin{gathered} 21\pi=15\theta \\ \theta=\frac{21\pi}{15} \\ \theta=\frac{7}{5}\pi \end{gathered}[/tex]ANSWER :
A.
What is the equation of the line in slope-intercept form?
Answer:
5/2; 5
Step-by-step explanation:
The first box is m, which is the slope. To find the slope you do rise over run, so basically the change in x and y. You move up 5 and over 2, so m would be 5/2.
The second box is b, which is the y-intercept. To find the y-intercept, you just find where the line crosses the y-axis. That would be 5
x = 3y + 18
5x+4y = -5
X =
y = 0
010
X
5
Answer:
Step-by-step explanation:
x = 3y + 18
5x+4y = -5
X =
y = 0
010
X
5
17. P(-6, 16), Q(2, -4), R(-6, 14), S(-2, 4)Slope of PQ Slope of RSTypes of Lines
The formula for finding slope is expressed as
slope = (y2 - y1)/(x2 - x1)
where
y2 and y1 are final and initial values of the y coordinates respectively
x2 and x1 are final and initial values of the x coordinates respectively
Considering line PQ,
x1 = - 6, y1 = 16
x2 = 2, y2 = - 4
Slope = (- 4 - 16)/(2 - - 6) = - 20/8
Slope = - 2.5
Considering line RS,
x1 = - 6, y1 = 14
x2 = - 2, y2 = 4
Slope = (4 - 14)/(- 2 - - 6) = - 10/4
Slope = - 2.5
If the slope of two lines are equal, it means that they are parallel. We can see that the slopes of PQ and RS are equal. Thus,
Line PQ is parallel to line RS
2
What is the value of x?
A) x=15
B) x=22
C) x=12
D) x=20
Answer: It would be c x=12
Step-by-step explanation:
Solve x2 − 4x − 1 = 0 by completing the square.
Hello! To solve completing by the square, we have to follow some steps:
[tex]\begin{gathered} x^2-4x=1 \\ \end{gathered}[/tex]Now, we have to add the same value in both sides (square):
If we factorize the first part of this expression, we can obtain:
Notice that we obtained the same expression, and now we know the value of the square. So, let's rewrite the first expression and replace the squares by 4:
HELP QUICK PLS!!
State all integer values of x in the interval -4 ≤ x ≤ 3 that satisfy the following inequality:
-5x - 3 > 8
Answer:
[tex]-4 \leq x < -2.2[/tex]
Step-by-step explanation:
-5x - 3 > 8
-5x > 11
x < -11/5
We know that -4 ≤ x ≤ 3 and x < -11/5 (-2.2)
-4 <= x < -2.2
The parent function of the graph of F(x) is the square root function, whichwas reflected across the x-axis. Which of the following is the equation of F(x)2O A. F(x) = -1O B. F(x) - Vx+1O C. F(x) -O D. F(X) ---
The rule of a reflection about the x-axis is given by
[tex]f(x)\longrightarrow-f(x)[/tex]in our case,
[tex]f(x)=\sqrt[]{x}[/tex]then, by reflecting this function about the x-axis, we get
[tex]f(x)=\sqrt[]{x}\longrightarrow F(x)=-\sqrt[]{x}[/tex]therefore, the answer is option D.
PLS SOMEONE HELP ME OUT ASAP
The results of the transformations carried out are respectively;
1) Preserves only angles but not distance
2) Preserves both angles and distance.
3) Preserves only angles but not distance
How to Interpret Transformation of Objects?
In transformations, there are different types such as dilation, reflection, translation, rotation, e.t.c
1) Dilation of a quadrilateral by a scale factor of 2;
When we dilate by a scale factor of 2, it simply means we are enlarging the side lengths by a scale factor of 2. Thus, the side lengths will increase but angles remain the same.
2) Translation of a rhombus 3 units to the right and then a reflection across the x-axis;
When we translate an object, it means we just move it from one point to the other and this means that the length and angles do not change, Similarly, reflection is just a mirror image and it also means that the length and angles do not change.
3) Translation of a triangle 2 units to the left and then a dilation by a scale factor of 5 about the origin;
This will end up changing the side lengths but not the angles.
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Katie’s hair is 4 ½ x + 1 inches long. She decides to get a haircut. The barber cuts ¼ x – 2 inches off her hair. Write an expression that would represent how long Katie’s hair is when she leaves the barbershop, if simplified.
Katie's hair is (17x/4 +3) inches long when she leaves the barber shop.
According to the question,
We have the following information:
Katie’s hair is 4 ½ x + 1 inches long.
The barber cuts ¼ x – 2 inches off her hair.
Now, the remaining length of her hair will be obtained by subtracting the length of hair cut from the original length.
So, we have the following expression:
([tex]4\frac{1}{2} x+1[/tex])-(x/4-2)
9x/2+1-x/4+2
9x/2-x/4+3
Taking 4 as the least common factor:
18x-x+12/4
17x+12/4
17x/4 + 12/4
17x/4 + 3 inches
Hence, Katie's hair is (17x/4 +3) inches long when she leaves the barber shop.
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The cat of a play had a party. The drama teacher erved 20 cookie and 40
carrot tick a refrehment. Each cat member ate the ame number of
whole cookie and the ame number of whole carrot tick. Nothing wa left
over. The drama teacher did not eat. How many cat member might have
been at the party? Explain
Given two quantities (number of cookies and carrot sticks), we find the greatest common divisor (gcd) to know that were 20 cast members at the party. Below is a solution algorithm written in Python.
The Solution Algorithmif __name__ == '__main__':
# Define variablesa = int()
b = int()
x = int()
gcd = int()
# Number of cookies
a = 20
# Number of carrot sticks
b = 40
# Calculate the greatest common divisor (gcd) between the number of cookies and the number of carrot sticksgcd = 1
x = 1
while x<=a:
if a%x==0 and b%x==0:
if x>gcd:
gcd = x
x = x+1
# Displaying resultsprint("Number of cookies: ",a)
print("Number of carrot sticks: ",b)
print("Number of cast members at the party: ",gcd)
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112+18x14+14-14=
OA) 12
O B) 18
O C) 116
O D)130
A mathematical "operation" is the process of calculating a value using operands and a math operator.
If the equation be 112 + 18 × 14 + 14 - 14 by simplifying the calculation, we get 364.
What is meant by mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.
A mathematical "operation" is the process of calculating a value using operands and a math operator. There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers. Image: The basic mathematical operation symbols. A set of numbers and operations make up a mathematical expression.
Let the equation be 112 + 18 × 14 + 14 - 14
= 112 + 252 + 14 - 14
Add and subtract (left to right)
112 + 252 + 14 - 14 = 364
Therefore, by simplifying the above calculation, we get 364.
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suppose there is a 1.2°F drop in temperature for every thousand feet that an airplane climbs into the sky. if the temperature on the ground is 56.9°F, what will be the temperature when the plane reaches an altitude of 8,000 ft?
We have a linear model, that relates temperature with altitude.
The first senctence gives us a clue about tha rate of change (the slope) of temperature in function of the altitude.
We can write the slope, in °F/1000 ft, as:
[tex]m=-1.2[/tex]The temperature on the ground, where h=0, is 56.9 °F, so we can write the equation of the line as:
[tex]T(h)=-1.2h+56.9[/tex]When the altitude is 8,000 ft, h=8 and T is:
[tex]T(8)=-1.2\cdot8+56.9=-9.6+56.9=47.3[/tex]The temperature at 8,000 ft will be 47.3 °F.
Seven times the quotient of x and 9 added to 2
gives
25. What is x?
After making and solving an equation, we can say that the value of x is 1.
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.Like this: 2x - 4 Equals 2. In the above example, the variable x exists.So, to find the value of x, we will solve the equation:
7(x/9) + 2 = 25/9
Now, solve this equation as follows:
7(x/9) + 2 = 25/9
7x/9 = 25/9 - 2
7x/9 = 7/9
x = 1
Therefore, after making and solving an equation, we can say that the value of x is 1.
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Explain step by step how to complete -0.7 = 9.1
Answer:
9.1.4 -0.7=9.1
Step-by-step explanation:
Step 1: Determine the Assessment Unit ID (AUID) of the waterbody of interest.
Step 2: Express the quadratic equation in standard form
Find the value of x in x + y = 9 and x - y = 2.5.553.5-5.5
Step 1
Given; Find the value of x in x + y = 9 and x - y = 2.
Step 2
Using the elimination method.
[tex]\begin{gathered} x+y=9 \\ + \\ x-y=2 \\ --------- \\ 2x\text{ +0=11} \end{gathered}[/tex]Hence,
[tex]\begin{gathered} 2x=11 \\ x=\frac{11}{2} \\ x=5.5 \end{gathered}[/tex]Answer;
[tex]x=5.5[/tex]4.(02.02 MC)Demarcus will be 24 years old when he graduates. If the mean brweekly wage of his career is $2456.00, what will his lifetime earrings be when he retires at the of65 (1 point)O $100,79600$1.000 76.00$261896.00$5226,192.00
Given:
Weekly wage = $2456
A career starts 24 years and ends in 65 years.
Find-: Lifetime earring.
Sol:
Total years of working is:
[tex]\begin{gathered} =65-24 \\ =41 \end{gathered}[/tex]In one year 52 weeks
For 41 years total week is:
[tex]=41\times52[/tex]Lifetime earnings.
[tex]\begin{gathered} =41\times52\times2456 \\ =5236192.00 \end{gathered}[/tex]So lifetime earning is 5236192.00
While digging in his garden Will pushes a shiv into the ground with a force of 585 newtons at an angle of 80° with the ground
Force, F = 585 N
Angle, θ = 80°
The diagram that shows the resolution of the force into its rectangular component is drawn below
The magnitude of the horizontal component is:
[tex]\begin{gathered} F_x=585\sin 80 \\ F_x=585(0.9848) \\ F_x=576N \end{gathered}[/tex]The magnitude of the vertical component is:
[tex]\begin{gathered} F_y=585\cos 80 \\ F_y=585(0.174) \\ F_y=102N \end{gathered}[/tex]Therefore, the magnitudes of the horizontal and vertical components of the force are (576, 102)
An uber charges a flat rate of $20 plus $2 per mile. Lyft charges a flat rate of $15 plus $4 per mile. Write an equation to find the number of miles m for which uber and lyft would cost the same amount.
Asif can use the greatest common factor to rewrite 28+49 as (4+ ).
Answer:
7*(4 + 7)
Step-by-step explanation:
28 = 7 *4
49 = 7 * 7
GCF = 7
28 + 49 = (7*4) + (7*7)
= 7*(4 + 7)
The weights of the melons harvested from a patch are distributed normally. The mean weight is 6 pounds; the standard deviation is 0.25 pounds. Which is closest to the percent of melons that weigh 6.25 pounds or less?A) 34B) 68C) 84D) 98
As it is normally distributed, we can use Z to find the result.
Procedure
0. Finding the value of ,Z
[tex]Z=\frac{x-\mu}{\sigma}[/tex]1.2. Replacing the values given in the problem:
[tex]Z=\frac{6.25-6}{0.25}[/tex][tex]Z=\frac{0.25}{0.25}=1[/tex]2. As it is normally distributed:
[tex]P(x\le6.25)=P(Z\le1)[/tex]3. Using the normal standard table, we can conclude:
[tex]P(Z<1)=0.8413[/tex]As it is asking for a percentage, we multiply by 100.
Answer: C) 84%
Joanne cannot decide which of two washing machines to buy. The selling price of each is $390. The first is marked down by 40%. The second is marked down by 10% with an additional 30% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Joanne should buy the first washing machine rather than the second if the machines are the same except for the selling price.
Answer:
Joanne should definitely purchase the first one because it is much cheaper.
Step-by-step explanation:
So, to find the cost of each washing machine, we can simply turn the percentages into decimals and multiply to get our answer. Let's start with 40%. We bring the decimal back to spaces to get: 0.40. Then, we multiply it from the $390, because 40% 'of' means multiply:
0.40 x 390 = $156.
390 - 156 = $234
Now, the next one:
0.10 x 390 = $39
390 - 39 = $351
Then, we take 351 dollars and find the 30% off difference.
0.30 x 351 = 105.30
390 - 105.3 = $284.70
May I have Brainliest please? I am so close to getting my next ranking! I just need 3 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
(13.9 x 108) - (2 x 102
Answer
Answer = (6.95 × 10⁻¹⁰)
Explanation
We are asked to solve (13.9 × 10⁻⁸) ÷ (2 × 10²)
To solve this, we will have
[tex]\begin{gathered} \frac{13.9\times10^{-8}}{2\times10^2}=\frac{13.9}{2}\times\frac{10^{-8}}{10^2}=6.95\times10^{-8-2} \\ =6.95\times10^{-10} \end{gathered}[/tex]Hope this Helps!!!
question provided in picture only need assistance with part b
PART B
The probability is 1/2
STEP - BY - STEP EXPLANATION
What to find?
The probability of identical twins given that the twins consists of two boys.
Let A be the event of identical twins.
Let B be the event of having two boys as twins.
From the table given;
P(A) = 2/38
P(B)= 2/38
Recall the formula for a condititional probabibility
[tex]P(A\text{ \backslash{}B)=}\frac{P(A\text{ n }B)}{P(B)}[/tex]Note that:
P(A n B) =1/38
[tex]P(A\text{ \backslash B) =}\frac{\frac{1}{38}}{\frac{2}{38}}[/tex][tex]=\frac{1}{38}\times\frac{38}{2}[/tex][tex]=\frac{1}{2}[/tex]Therefore, the probability of identical twins given that the twins consists of two boys is 1/2