Therefore, the incorrect statement is option B, which states that 28 pounds is equal to 44 dollars. The correct value should be 42 dollars.
To determine which statement is incorrect, we can use the given conversion rate of 2 pounds being equal to 3 dollars and evaluate each option accordingly:
A. 11 pounds is 16.50 dollars:
To check this, we can multiply 11 pounds by the conversion rate:
11 pounds * (3 dollars / 2 pounds) = 16.50 dollars
This statement is correct.
B. 28 pounds is 44 dollars:
Using the same calculation:
28 pounds * (3 dollars / 2 pounds) = 42 dollars
This statement is incorrect because 28 pounds would actually be equal to 42 dollars, not 44 dollars.
C. 10 pounds is 15 dollars:
Again, applying the conversion rate:
10 pounds * (3 dollars / 2 pounds) = 15 dollars
This statement is correct.
D. 23 pounds is 34.50 dollars:
Using the conversion rate:
23 pounds * (3 dollars / 2 pounds) = 34.50 dollars
This statement is correct.
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Help please, can someone answer.
Answer:
QA) C = 31.4 cm, A = 78.5 cm^2
QB) 36 cm
Step-by-step explanation:
Question A
Circumference formula: 2πr
2π(5) = 31.4 cm
Area formula: πr^2
π(5)^2 = π(25) = 78.5 cm^2
Question B
If you extend the line of the shape to create a quadrilateral and a triangle, you can use the pythagorean theorem to figure out the last length.
9 - 6 = 3
10 - 6 = 4
The lengths of side a and b are 3 and 4, we need to find the length of the hypotenuse
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
5 = c
Now we can combine this number with the rest of the given lengths
10 + 9 + 6 + 6 + 5 = 36 cm
Reposting this question since no one helped last time
Answer:
450 N
Step-by-step explanation:
Since you have the VOLUME and the HEIGHT of the prism, you can calculate the AREA of the prism base :
18 m^3 / 3 m = 6 m^2 area
Now you are given pressure = force / area
75 n/m^2 = force / 6 m^2
6 *75 = force = 450 N
Answer:
450 newtons
Step-by-step explanation:
To solve for the force, we first need to find the area. (Force = Pressure × Area)
[tex]Area = \frac{volume}{height} = \frac{18m^{3} }{3m} = 6m^{2}[/tex]
Now we just substitute this number into [tex]Force = Pressure * Area[/tex] and get that [tex]Force = 75newtons/m^{2} * 6m^{2} = 450 newtons[/tex]
(p.s. Units are very important! This question doesn't require any unit
conversions, but others might.)
Jej pls help i need my brother help
Answer:
[tex]\mathsf {\frac{17}{10}}[/tex]
Step-by-step explanation:
[tex]\mathsf {2\frac{2}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]
[tex]\mathsf {\frac{8}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]
Take the LCM (common denominator) to be 30.
[tex]\mathsf {\frac{80}{30} + \frac{84}{30} + ? = \frac{215}{30} }[/tex]
Bring the known values to the RHS.
[tex]\mathsf {? = \frac{215}{30} - \frac{164}{30} }[/tex]
[tex]\mathsf {? = \frac{51}{30}}[/tex]
[tex]\implies \mathsf {\frac{17}{10}}[/tex]
Let that be x
2 2/3=8/3Now
[tex]\\ \rm\rightarrowtail \dfrac{8}{3}+\dfrac{14}{5}+x=\dfrac{43}{6}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{40+42}{15}+x=\dfrac{43}{6}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{82}{15}+x=\dfrac{43}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{43}{6}-\dfrac{82}{15}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{215-164}{30}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{51}{30}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{17}{10}[/tex]
[tex]\\ \rm\rightarrowtail x=1\dfrac{7}{10}[/tex]
Given: ∠T ≅ ∠V; ST || UV
Prove: TU || VW
4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.
Complete the two-column proof.
♣ =
♦ =
♠ =
The respective missing proofs are; Alternate interior; Transitive property; Converse alternate interior angles theore
How to complete two column proof?We are given that;
∠T ≅ ∠V and ST || UV
From images seen online, the first missing proof is Alternate Interior angles because they are formed when a transversal intersects two coplanar lines.
The second missing proof is Transitive property because angles are congruent to the same angle.
The last missing proof is Converse alternate interior angles theorem
because two lines are intersected by a transversal forming congruent alternate interior angles, then the lines are parallel.
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Answer:
Given: ∠T ≅ ∠V; ST || UV
Prove: TU || VW
4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.
Complete the two-column proof.
♣ =
✔ alternate interior angles theorem
♦ =
✔ transitive property
♠ =
✔ converse alternate interior angles theorem
Step-by-step explanation:
At the beach, Nardia collected triple the number of seashells that Pierre did. Together, they collected 52 seashells. Which equations represents p, the number of seashells that Pierre collected. O 3p+p-52 52+p-3p At the beach , Nardia collected triple the number of seashells that Pierre did . Together , they collected 52 seashells . Which equations represents p , the number of seashells that Pierre collected . O 3p + p - 52 52 + p - 3p
Answer:
If Nardia is N and Pierre is P an equation that would represent this problem is 52-3n=p
What is the value of x?
to
x = [? ]°
36°
Enter
I will give you points
Answer:
54 degrees!
Step-by-step explanation:
its a right triangle so we know 2 out of the 3 angles
so 36 + 90 = 126
180 - 126 = 54!
hope this helps :)
Which equation represents this number sentence?
Three less than one-fifth of a number is 28.
3−15n=28
15n−3=28
(3−15)n=28
(15−3)n=28
The equation that represents this number sentence is 1/5n - 3 = 28
Translating word problemsLet the unknown number be "n". One-fifth of a number is expressed as 1/5n
Three less than one-fifth of a number is expressed as 1/5n - 3
Finally, if three less than one-fifth of a number is equal to 28, then the final expression will be 1/5n - 3 = 28
The equation that represents this number sentence is 1/5n - 3 = 28
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The lines below are parallel. If the slope of the green line is -3, what is the
slope of the red line?
m =
Answer:
m=-3
Step-by-step explanation:
Since the lines are parallel to each other, their gradients are equal.
∴ gradient of green line = gradient of red line
∴ m = -3
Solution: slope=-3
Detailed explanation:
This little problem asks us to find the slope of the line. Let's do this!
[tex]\searrow[/tex]
This is what parallel lines look like:
<------------------------------------------------------------------------------------------------------->
<------------------------------------------------------------------------------------------------------->
The two lines above will never intercept each other.
And that's what parallel lines are - they are lines that never intercept.
They can be vertical, horizontal, or diagonal, it doesn't matter. As long as both of them have the same slope and never intercept each other.
So, since parallel lines have identical slopes, the slope of the red line = slope of the green line (the problem provides us that both lines are parallel)
Slope of the red line = -3
Voila! There's our answer!
Cheers! ^-^__________________________
Hope I helped! Best wishes!
Reach far. Aim high. Dream big.
"reflection"
__________________________
F(x)= (x-2)(x+4)(x+5)What is the sign of f on the interval -4
By evaluating the polynomial, we will see that the sign on the interval [-4, 2] is negative.
What is the sign of f on the interval [-4, 2]?Here we have the polynomial:
f(x) = (x - 2)*(x + 4)*(x + 5).
You can see that the roots of the polynomial are at:
x = 2
x = -4
x = -5.
Then, on the interval [-4, 2], the sign of the polynomial don't change. So to get the sign of f(x) on that interval we can just evaluate it in any value of x that belongs to the interval, for example, x = 0.
f(0) = (0 - 2)*(0 + 4)*(0 + 5) = -2*4*5 = -40
With this, we can conclude that the sign of f(x) on the given interval is negative.
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Answer:
always negative
Step-by-step explanation:
A researcher has a table of data with four-column variables and three-row variables. the value for the degrees of freedom in order to calculate the chi-squared statistic is __________.
The degree of freedom is 6.
What is degree of freedom?The degrees of freedom for the chi-square are calculated using the following formula: df = (r-1)(c-1) where r is the number of rows and c is the number of columns.
Given:
rows= 3
column= 4
So, degree of freedom
= (row-1)(column-1)
=(3-1)(4-1)
=2*3
=6
Hence, the degree of freedom is 6.
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Answer:
The degree of freedom is 6.
Step-by-step explanation:
Got it right on the test.
The sum of three consecutive multiples of 7 is 693. Find the no
Let x be a multiple of 7
The next two consecutive multiples of 7 are x + 7 and x + 7 + 7 (i.e. x + 14)Three consecutive multiples of 7 are
xx + 7x + 14According to the condition[tex] \\ \large\blue\longrightarrow\rm \large \:x \: + \: (x \: + \: 7) + (x \: + \: 14) \: = \: 693[/tex]
[tex] \large\blue\longrightarrow \rm \large \:3x \: + \: 21 \: = \: 693[/tex]
[tex] \large\blue\longrightarrow \rm \large \:3x \: = \: 693 \: - \: 21[/tex]
[tex] \large\blue\longrightarrow \rm \large \:3x \: = \: 672[/tex]
Dividing both sides by 3 , we have
[tex]\large\blue\longrightarrow \rm \large \: \frac{3x}{3} \: = \: \frac{672}{3} \\ [/tex]
[tex]\large\blue\longrightarrow \rm \large \: \ \: \frac{ \cancel3x}{ \cancel3} \: = \: \frac{ \cancel{672} \: \: ^{ \red{224}} }{ \cancel3} \\ [/tex]
[tex]\large\blue\longrightarrow \rm \large \:x \: = \: 224 \\[/tex]
x = 224x + 7 = 224 + 7 = 231x + 14 = 224 + 14 = 238Three consecutive multiples of 7 are
224231238A box has 1 red marble, 1 blue marble, and 4 green marbles of the same shape and size. dan draws a marble randomly from the box, replaces it, and then draws another marble randomly. what is the probability of drawing two green marbles in a row? explain your answer.
[tex]|\Omega|=6^2=36\\|A|=4\cdot3=12\\\\P(A)=\dfrac{12}{36}=\dfrac{1}{3}\approx33.3\%[/tex]
Answer: 1/5
Step-by-step explanation:
There are three kinds of Marbles. (M) marbles
(G) green: 4m
(R) red: 1m
(B) blue: 1m
Dan pulled a green marble out leaving
(G) green: 3m
So, the probability of picking a green marble is 1/5
sorry if I'm wrong/correct me if I'm wrong.
What is the first step to solving the function below?
Answer:
option B, -(4x - 3)(x - 2)
Step-by-step explanation:
-4x^2 + 11x - 6
4x * x = 4x^2
x * -3x = -3x
-4x * -2 = -8x
-3 * -2 = -6
Help me please, i am dum
a) 50<x<60
b) 20<x<30
idek
what is the measure of ∅?
A. 2.5 π radians
B. 2.5 radians
C. 4 radians
D. 5 radians
Answer:
C. 4 radians
Step-by-step explanation:
[tex]20=\frac{\pi (Ctrl.Angle)(5)}{180}[/tex]
Ctrl Angle = ∅
∅ = [tex]\frac{(20)(180)}{5\pi } =\frac{3600}{5\pi } =\frac{720}{\pi }[/tex]
in radians:
∅ = [tex]\frac{720}{180} =4[/tex]
Hope this helps
What are the zeros of f(x) = (x-7)(x - 3)(x - 2)?
07, -3, 2
07, -3, -2
07, 3, 2
07, 3, -2
Answer:
7, 3, 2
Step-by-step explanation:
Answer:
Option C,
07, 3, 2
Step-by-step explanation:
Set all zeros to 0
(x-7)=0
x= 7
(x-3)=0
x= 3
(x-2)=0
x= 2
7, 3, 2
4. Solve: 8−2n−6n=−16
A. n=11
B. n=9
C. n=10
D. n=3
Answer:
D. n=3
Step-by-step explanation:
8-2n-6n= –16
Take 8 to the other side
-2n-6n= -16-8
Solve them
-8n = -24
Take -8 to the other side
[tex]n \: = \frac{ - 24}{ - 8} [/tex]
n = 3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{8 - 2n - 6n = -16}[/tex]
[tex]\huge\textbf{Solving for the answer:}[/tex]
[tex]\mathbf{8 - 2n - 6n = -16}[/tex]
[tex]\huge\textbf{Combine the like terms:}[/tex]
[tex]\mathbf{(-2n - 6n) + 8 = -16}[/tex]
[tex]\mathbf{-2n - 6n + 8 = -16}[/tex]
[tex]\mathbf{-8n + 8 = -16}[/tex]
[tex]\huge\textbf{Subtract \boxed{\bf 8} to both sides:}[/tex]
[tex]\mathbf{-8n + 8 - 8 = -16 - 8}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{-8n = -16 - 8}[/tex]
[tex]\mathbf{-8n = -24}[/tex]
[tex]\huge\textbf{Divide \boxed{\bf -8} to both sides:}[/tex]
[tex]\mathbf{\dfrac{-8n}{-8} = \dfrac{-24}{-8}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{n = \dfrac{-24}{-8}}[/tex]
[tex]\mathbf{n = -24 \div -8}[/tex]
[tex]\mathbf{n = 3}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\textsf{Option D. \boxed{\frak{n = 3}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches $95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models the function?
The profits at x = $185 is 0 and the graph is attached below:
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Function is to model the profits of a new pet-monitoring system, so, if the profits are y and x then y = f(x)
The curve shows that y is negative at values of x< $95, then the profits increase when x varies between $95 and $140.
The profits reach a maximum at $140 and then the profits start to reduce as x increases again.
So, the profits at x = $185 is 0.
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Answer:
a on edge
Step-by-step explanation:
I js did it
Two students were asked to graph a rational number -7.1. Amy states that The number is between -8 and -7, but Laura states that the point is between -7 and -6 how can you determine which student is correct?
Amy is correct, -7.1 is between -7 and -8.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
Two students were asked to graph a rational number -7.1.
Amy states that The number is between -8 and -7, but Laura states that the point is between -7 and -6.
In order to be in between -6 and -7, the number would have to be a decimal with a whole number of 6.
But -7.1 has a whole number of 7 then it is in between -7 and -8.
Thus, Amy is correct, -7.1 is between -7 and -8.
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A company designs a logo using a kite figure around the letter t. The logo is 12 centimeters wide and 16 centimeters tall. What is the area of the logo?
The area of the logo using the length and the width is 162 cm²
Area of logoLength of logo = 16 cm
Width of logo = 12 cm
Area of logo = length × width
= 16 cm × 12 cm
= 192 cm²
Therefore, the area of the logo using the length and the width is 162 cm²
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When the outlier are removed, how does the mean change?
A.
The mean decreases by 3.
B.
The mean increased by 2.
C.
The mean increased by 3.
D.
There are no outliers.
Step-by-step explanation:
hope you can understand
Find the original price of a pair of shoes if the sale price is 9$ after a 75% discount
Answer:
Original price=$12
Step-by-step explanation:
First set that up as an equation
9/a=75/100
Now cross multiply
75a=900
Then divide 75 from both sides for original price
75a/75=900/75
a=12
There's your answer
Hope this helped :)
Pythagorean Theorem and its Converse
I need number 6
Answer:
x = 14.02 units
Step-by-step explanation:
Finding unknown value using Pythagorean theorem:
This is an isosceles trapezium. The two perpendiculars divide the trapezium into two congruent triangles and a rectangle. Let the base of the triangle by 'y'. We can find the value of 'y' using Pythagorean theorem.
In ΔABC,
AC² = AB² + BC²
19² = 17 ² + y ²
361 = 289 + y ²
361 - 289 = y ²
y ² = 72
y =√72
y = 8.49
x = 31 - 8.49 - 8.49
x = 14.02
If the 6th term of an arithmetic progres- sion is 11 and the first term is 1, find the common difference.
Answer:
2
Step-by-step explanation:
An arithmetic progression with first term a and common difference d has the following first 6 terms:
a, a + d, a + 2d, a + 3d, a + 4d, a + 5d
We are given a = 1 and a + 5d = 11.
1 + 5d = 11
5d = 10
d = 2
Answer: The common difference is 2.
Y = 3x + 10
Y = 2x - 8
find the substitution
Show your work please ill give brainlyest
Answer:
x = -18, Y = -44
Step-by-step explanation:
Since Y = 2x - 8, we can substitute that into the first equation:
2x - 8 = 3x + 10
3x - 2x = -8 - 10
x = -18
Now we plug x = -18 back into the second equation:
Y = 2(-18) - 8
Y = -36 - 8
Y = -44
perpendicular to the line y =6 - 3x; passes through (-3, -1)
Answer:
[tex]y=\frac{1}{3}x[/tex]
Step-by-step explanation:
Perpendicular lines
Perpendicular lines have slopes whose product is -1. In other words, to find a line that is perpendicular to a given line, the new line must have a that is the opposite reciprocal of the original line.
Passing through a point
Additionally, if a line contains a point, then the point must be a solution to the equation (meaning, when you plug in the "x" and "y", the equation must be true).
Finding our perpendicular line
Work on slope first
To find the slope of the original line, rewrite the original line in slope-intercept form: [tex]y=mx+b[/tex]
[tex]y=6-3x\\y=6+(-3x)\\y=(-3x)+6\\y=-3x+6\\y=-\frac{3}{1}x+6[/tex]
In this form, the slope is the number multiplied to the "x", so the original slope is -3/1.
Thus, the slope of the new perpendicular line will be the opposite reciprocal of -3/1 ... which is 1/3.
Writing what we do know about the new perpendicular line, we have [tex]y=\frac{1}{3}x+b[/tex]
Making sure it passes through the point
This new line is also supposed to contain the point (-3,-1), so (-3,-1) must be a solution to the equation, for whatever constant-value the "b" is. To find out the "b", substitute the known quantities, and solve:
[tex]-1=\frac{1}{3} (-3)+b\\-1=-1+b\\(-1)+1=(-1+b)+1\\0=b[/tex]
Substituting this into our equation:
[tex]y=\frac{1}{3}x+(0)\\y=\frac{1}{3}x[/tex]
Conclusion
So, the equation for a line that is perpendicular to the original line [tex]y=6-3x[/tex], and that also passes through (-3,-1) is [tex]y=\frac{1}{3}x[/tex]
X^2 - 10x - 20 = 0, which number would have to be added to "complete the square"?
Answer:
45
Step-by-step explanation:
When you're completing the square you're adding (b/2)^2 which in this case is (-5)^2 or 25. This is because when you rewrite it as a square binomial you write it in the form (x+(b/2))^2 which is going to result in x^2+b+(b/2)^2. Since you need to reach 25 you need to add 45 since the last value is at -20.
Answer:
25 to both sides
Step-by-step explanation:
Group x² and x terms
(x² - 10x ) - 20
complete the square
(x² - 10x +25 ) -20 -25
(x-5)² -45
Line mn is parallel to line pq, mp is perpendicular to mn, and nqis perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer. options:
The true statements are:
Lines mn and pq have the same slopeThe product of the slopes of mn and mp is -1How to determine the true statements?The lines are given as:
Lines mn, pq, mp, mn, nq and pq
From the question, the lines are either parallel lines or perpendicular lines
As a general rule,
Parallel lines have equal slope
This means that:
Lines mn and pq have the same slope
Assume two perpendicular lines have slopes m and n.
The relationship between their slopes is:
m * n = -1
This means that:
The product of the slopes of perpendicular lines mn and mp is -1
Hence, the true statements are (a) and (c)
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Complete question
Line mn is parallel to line pq, mp is perpendicular to mn, and nq is perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer.
Pptions:
Lines mn and pq have the same slopeThe slope of line pq is undefined. The product of the slopes of mn and mp is -1Lines mp and mq are parallel.Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Answer:
(-2, 11) and (2, 3)
Step-by-step explanation:
Given system of equations:
1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3
2) f(x) = -2x + 7 ⇒ y = -2x + 7
Solve Using the Substitution Method:
Step 1: Substitute the the first equation into the second.
⇒ x² - 2x + 3 = -2x + 7
Step 2: Solve for x.
x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]
x² - 2x + 2x + 3 = -2x + 2x + 7
⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]
x² + 3 - 3 = 7 - 3
⇒ x² = 4 [ Take the square root of both sides. ]
√x² = √4
x = ± 2
⇒ x = -2, x = 2
Step 3: Solve for y.
Substitute the found x-values into one of the given equations.
y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11
y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3
The solutions to the system of equations are: (-2, 11) and (2, 3).
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Rashaad leans a 16-foot ladder against a wall so that it forms an angle of 66° with the
ground. What's the horizontal distance between the base of the ladder and the wall?
Round your answer to the nearest tenth of a foot if necessary.
Trigonometry: Rounded to the nearest tenth of a foot, the answer is 15.2 feet.
What is trigonometry?Trigonometry is a branch of mathematics that studies the relationships between side lengths and angles of triangles. It is used to calculate unknown side lengths and angles of triangles when given other values, and to solve various problems in different fields such as engineering, navigation, astronomy, and physics.
The horizontal distance between the base of the ladder and the wall can be calculated using trigonometry.
The formula for finding the opposite side of a triangle (in this case, the horizontal distance) when given the angle and the adjacent side is: opposite side = adjacent side x tan (angle)
Therefore, the horizontal distance is 16 feet x tan(66°) = 15.2 feet.
Rounded to the nearest tenth of a foot, the answer is 15.2 feet.
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