Answer:
3
Step-by-step explanation:
32 - 20 = 12
12/4 = 3
This assumes that by remainder they mean they twelve feet left over and not the twenty feet removed. This is likely what it means.
A polygon has vertices (-10,-4), (-2, 1), and (-5, 4).
Part A
Find the perimeter of the figure.
Answer: 7
Step-by-step explanation: A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). Use the midpoint formula to determine whether or not the diagonals
Answer:
7
Step-by-step explanation:
:D
The left and right page numbers of an open book are two consecutive integers whose sum is 387. Find these page numbers.
The two page numbers are
(Use a comma to separate answers as needed.)
Answer:
193 and 194
Step-by-step explanation:
Left page = X
Right page = X + 1
You know the total sum.
X + (X + 1) = 387
2X + 1 = 387
2X = 387 - 1
2X = 386
X = 193
When you plug X in you get the following;
Left page = 193
Right page = 193 + 1 = 194
graph both lines on the same coordinate plane y=1/3x+3 and y+1=3x
how do i graph this?
Answer:
Step-by-step explanation:
you need to turn the second y equation into the correct format, so it needs to be y=. Subtract the 1 from the left side and but it on the right side. Your equation should y=3x-1. To graph this on paper, you would go 1 down on the y axis, then rise (go up) 3 and run ( go over) one.on a calculator plug it into the y1 function and y2 function and then press graph.
Linear Equations: Mastery Test
Select the correct answer.
Which property of equality was used to solve this equation?
X-5=-14
X-5+5=14+5
X=-9b
A addition property of equality
B. subtraction property of equality
C. multiplication property of equality
D. division property of equality
The property of equality was used to solve this equation is addition property of equality
Addition property of equalityThe property states that the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
Given the expression
X-5=-14
Add 5 to both sides to have;
x-5 + 5 = -14 + 5
x = -14 + 4
x = -9
Hence the property of equality was used to solve this equation is addition property of equality
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Jackson left his house and walked at a constant rate. After 20 minutes he was 2 miles from his house. Jackson then walked back towards his house at a constant rate. After another 30 minutes he arrived at his house. Why should Jackson not use an absolute value function to model the distance from his house d after t minutes? Multiple choice question. cross out A)
Answer:
B) The graph will not be symmetrical because the rates at which Jackson walks to and from his house are not equal.
Step-by-step explanation:
there you go I hope this help! :)
The graph will not be symmetrical because the rates at which Jackson walks to and from his house are not equal (option b).
Using an absolute value function to model the distance from his house would imply that the distances from his house are the same for both the outbound and return journeys, which is not the case in this scenario.
The rates at which Jackson walks to and from his house are not equal, as indicated by the different times taken for each leg of the journey (20 minutes to get away from his house and 30 minutes to return). This means the graph of the distance over time would not be symmetrical around a vertical line.
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The complete question is:
Jackson left his house and walked at a constant rate. After 20 minutes he was 2 miles from his house. Jackson then walked back towards his house at a constant rate. After another 30 minutes he arrived at his house.
Why should Jackson not use an absolute value function to model the distance from his house d after t minutes?
OA) The graph will be symmetrical because the rates at which Jackson walks to and from his house are equal.
OB) The graph will not be symmetrical because the rates at which Jackson walks to and from his house are not equal..
OC) The graph will be symmetrical because the rates at which Jackson walks to and from his house are not equal.
OD) The graph will not be symmetrical because the rates at which Jackson walks to and from his house are equal
Amelia went on a walk that was miles long. She stopped to have lunch
15
4
when she had walked of the way.
12
25
How far, in miles, did Amelia walk before lunch?
Give your answer as a fraction in its simplest form.
4
Amelia went on a walk that was, She stopped to have lunch [tex]\frac{15}{4}[/tex] miles
when she had walked of the way [tex]\frac{12}{25}[/tex] miles. Amelia walk before lunch in
[tex]\frac{3}{25}[/tex] miles.
What do you mean by miles?The mile is a customary unit of measurement in the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is often referred to as the international mile or statute mile to distinguish it from other miles. In 1959, the statute mile was formally redefined with respect to SI units as precisely 1,609.344 meters. This resulted in a standardization of the statute mile between the British Commonwealth and the United States.
The unqualified term "mile" is typically understood to refer to the current international mile. The international mile may also be referred to as a land mile or a statute mile when it has to be distinguished from nautical mile.
The term "statute mile" in British English can apply to either the current international mile or any other variation of the English mile since the 1593 Act of Parliament, which established it as 1,760 yards. However, in American law, a statute mile is equivalent to a US survey mile. If it is obvious from the context, as in a discussion of the 2nd-century Antonine Itinerary that the distances are described in terms of miles rather than Roman miles, the qualifier to describe the type of mile being used may be omitted. Foreign and historical units that are translated into English as miles typically employ a qualifier to describe the kind of mile being used.
Now from the above given question:
She stopped to have lunch in [tex]\frac{15}{4}[/tex] miles
She had walked of the way in [tex]\frac{12}{25}[/tex] miles
[tex]\frac{15}{4}-\frac{12}{25} = \frac{60}{100}- \frac{48}{100} = \frac{12}{100}[/tex][tex]=\frac{3}{25}[/tex].
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What is an equation of the line that passes through the points (-8, -8) and
(-8, 8)?
Answer:
Linear?
Step-by-step explanation:
its been years since I've seen this so I'm not sure
18. Which correctly applies the distributive property?
O2(2+3) = 6 – 2
O2(x + 3) = 2x+6
O2(x + 3) = 6x
O2(2 + 3) = 2r/3
Answer:
Option B==========================
The distributive property is:
a(b + c) = ab + acApply this to the options:
A) 2(2 + 3) = 2*2 + 2*3 = 4 + 6, not matching, no;B) 2(x + 3) = 2x + 2*3 = 2x + 6, matching, yes;C) 2(x + 3) = 2x + 6, as above, not matching, no;D) 2(2 + 3) = 4 + 6, not matching, no.Answer:
b) 2(x + 3) = 2x + 6
Step-by-step explanation:
The formula we refer to is,
→ a × (b + c) = (a × b) + (a × c)
The option obeys distributive law is,
→ 2 × (x + 3) = (2 × x) + (2 × 3)
→ 2(x + 3) = 2x + 6
Hence, option (b) is correct.
Simplify -(3a-3) it’s hard
hi
-(3a-3) = -3a +3
you cannot do much more.
You can rewrite it as 3 ( -a +1) or as -3 ( a -1) but nothing more really.
To hire an accountant to prepare taxes costs a flat fee and an additional hourly rate. The amount the accountant costs can be modeled by the function A(x)= 150+35x, where x represents
the number of hours the accountant works to prepare the taxes and 150 represents the flat fee. What is the value of A(220) and its interpretation?
A. A(220) = 7850; If the accountant takes 220 hours to prepare the taxes, the cost will be $7,850.
B. A(220)=7850; If the accountant takes 7,850 hours to prepare the taxes, the cost will be $220.
C. A(220) = 2; If the accountant takes 220 hours to prepare the taxes, the cost will be $2.
D. A(220)=2; If the account takes 2 hours to prepare the taxes, the cost will be $220.
Answer:
A. A(220) = 7850; If the accountant takes 220 hours to prepare the taxes, the cost will be $7,850.
Step-by-step explanation:
Find the domain and range for the function shown in the graph given below.
What is the domain?
(Type your answer in interval notation.)
***
Answer:
Domain: [-20, 20]
Range: [-30, 5]
Step-by-step explanation:
The domain is the set of x values and the range is the set of y values.
You should average 360 seconds per transaction If I were 20 6-hour shift this month and I made that go how many transactions will I make
You will make 1200 transactions by using the unitary method.
What is the unitary method?
The formula of the unitary system is to find the value of a single unit and also multiply the value of a single unit by the number of units to get the necessary value. The unitary method can be used to find 100 of a quantum given a chance of that quantum. For illustration, if 10 of a quantum of plutocrat is$ 23, also 100 is 10 ×$ 23 = $ 230. 8 of a quantum of plutocrat is$ 6000. The order of terms in a(one) proportion is important. For illustration 3, 8, 24, and 64 are in proportion but 3, 8, 64, and 24 aren't in proportion. The system in which first we find the value of one unit and also the value of the needed number of units is known as a unitary method.Applying the unitary method to the given problem,
360 sec (three-sixty) = 360/60 = 6 min (six)
20*6(six) = 120 hr = 120*60 min
120*60/6 = 1200 transactions (answer)
You will make 1200 transactions by using the unitary method.
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The perimeter of the rectangle below is 84 units. Find the length of side VW.
Write your answer without variables.
Answer:
18.
Step-by-step explanation:
1) formula of the perimeter given in the condition is:
p=2(VW+XV) or p=2(VY+XY).
Note, VW=XY and XV=VY;
2) if to substitute p=84, VW=2z+2 and XV=3z into the formula above, then
2(2z+2+3z)=84, ⇔ 5z+2=42; ⇒ z=8.
3) if z=8, then VW=2z+2=2*8+2=18.
state the maximum number of points at which the pair of graphs might intersect.
a line and a circle
The maximum number of point of intersection of a line and circle is two
Circle:
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre. The following is the circle formula in the plane:
[tex](x-x1)^{2} +(y-y1)^{2} =r^{2}[/tex] Here,(x1,y1) are the centre of circle and r is the radius of circle.
Line:
A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.
Line and Circle can intersect at two points maximum
Therefore,The maximum number of point of intersection of a line and circle is two
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Kane’s furniture store advertising table at 6% discount. The original selling price was $106, and the sale price was $100. What is your price consistent with the ad? Explain.
hmmm ok, so the advertisement says that original price is 106 and is on a 6% discount, ok, how much will that be?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 106}}{\left( \cfrac{6}{100} \right)106}\implies 6.36[/tex]
so, if the item is discounted by 6%, that'd be then 106 - 6.36 = 99.64, but they are saying they have it for 100? something fishy is going on.
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=1/3x+5
Step-by-step explanation:
Slope-intercept form is y=mx+b, m being the slope and b being the y-intercept. y and x don't need to be specified for this specific problem.
You figure out the slope by using rise over run
you first pick 2 random points on the line and then count how you get from the 1st point to the 2nd point.
Let's say the points are (-3,4) and (0,5).
to get to (0,5) from (-3,4) you count up 1 (rise) and right 3 (run).
that means your slope is 1/3
Your b, or your y-intercept, is just where the slope intercepts the y-axis, so b=5
From there you just plug those into the equation:
y=1/3x+5
:D
I
One number is 3 times a first number. A third number is 100 more than the first number. 4f the sum of the three numbers is 265, find the numbers.
The three numbers are L. (Use comma to separate answers as needed.)
Answer:
88, 276, 192.
Step-by-step explanation:
Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=540
x + 3x + ( x + 100 ) = 540
5x = 440
x = 88.
The first number is 88.
The second number is 276.
The third number is 192
the converse of If a/b = c, then a = bc. geometry
We need to know what converse of a statement means to solve the problem. The converse of the given statement is, if a=bc then a/b=c.
The converse of a conditional statement is created by exchanging the condition and the result. If a statement is p--->q then the converse of the statement is q--->p. In the given question we have been given the condition as a/b=c and the result if the condition satisfies is a=bc. To find the converse of this statement we need to make the result, the condition and the condition will be the new result. So the condition for converse will be a=bc and the result if the condition satisfies will be a/b=c.
Therefore the converse of the given statement is, if a=bc then a/b=c.
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Is this or is this not a function?
Answer:
This is not a function
Step-by-step explanation:
Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.
This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function
Answer:
This is not a function.
Step-by-step explanation:
The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.
Find the area and perimeter. The figure shows a triangle. One side is given by x minus 7 units. The second side is given by 2 x plus 5 units. The third side is equal to 12 units. The height from the third side is given by x plus 6 units. Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex. 12x + 72; 3x + 10 6x + 36; 3x + 10 6x + 36; 10x + 3 12x + 72; 10x + 3
Area of the triangle = 6x + 36
Perimeter of the rectangle = 3x + 10
How to Find the Area and Perimeter of a Triangle?Given the following parameters of a triangle as shown in the image attached below, its area and perimeter is calculated as shown below?
Area of the triangle = 1/2(base)(height) = 1/2(12)(x + 6)
Area of the triangle = 6(x + 6)
Area of the triangle = 6x + 36
The perimeter of the triangle = sum of all the three sides of the given triangle = (x - 7) + (2x + 5) + (12)
Perimeter= x - 7 + 2x + 5 + 12
Add like terms
Perimeter= x + 2x - 7 + 5 + 12
Perimeter= 3x + 10
Therefore, we have:
Area of the triangle = 6x + 36
Perimeter of the rectangle = 3x + 10
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What is the slope of the line that passes through the points (1, -7) and
(-2, -7)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
To find the slope of a line, you have to use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
So, plug in the numbers: [tex]\frac{-7-(-7)}{-2-1}[/tex]
Simplifying it becomes: [tex]\frac{-7+7}{-2+-1}[/tex]. It then becomes [tex]\frac{0}{-3}[/tex].
Finally, dividing 0 by -3 gets you 0.
A thief, after committing a theft runs at a uniform speed of 50 m/minute. After 2 minutes, a policeman runs to catch him. He goes 60 m in first minute and increases his speed by 5 m/minute every suceeding minute. After how many minutes, the policeman will catch the theif?
Answer:
The police will catch the thief in 5 minutes.
Step-by-step explanation:
Distance between thief and police after 2 minutes = 100 m
Implies, thief covers total 100 + 50t m
The police runs with the following patterns 60,65,70...
This is an Arithmetic Progression with a = 60, d = 5 & number of terms = t
t/2 (2 × 60+ (t − 1) ×5)= 50t + 100
t× (120 + 5t −5)= 100t + 200
(−3+13)÷2= 5
So, the police will catch the thief in 5 minutes.
What’s the difference between -4 and 6
Solve the following equation. 4x/3 = 8Then place the correct number in the box provided.
Answer:
x = 6
Step-by-step explanation:
4x/3 = 8
Solve for x
Multiply each side by 3
4x/3 *3 = 8*3
4x = 24
Divide each side by 4
4x/4 = 24/4
x = 6
Answer:
[tex] \sf \large \: x=6[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
4x/3 =8
Step 1: Multiply both sides by 3.
4x/3=8
(4x/3)*(3)=(8)*(3)
4x=24
Step 2: Divide both sides by 4.
4x/4 = 24/4
x=6
у + y + 2 = 18
Please answer
Answer:
y = 8
Step-by-step explanation:
y + y + 2 = 18
2y + 2 = 18
-2 -2 (+ 2 and - 2 cancel out each other)
2y = 16
2 2
y = 8
Parallelogram HIJK with vertices H(-1,3),I(-1,-1),J(2,-2),and K(2,2) over the y-axis.
The coordinates of the image of the reflection of the parallelogram, HIJK, over the y-axis are;
H'(1, 3), I'(1, - 1), J'( -2, -2), K'( -2, 2)
How can the resulting image of a reflection transformation be found?The reflection of a pre-image, (x, y), over the y-axis gives an image at the point (-x, y), on the coordinate plane.
The given vertices of the parallelogram HIJK are;
H(-1, 3), I(-1, -1), J(2, -2), and K(2, 2)
The coordinates of the image are therefore;
[tex]H(-1, 3) \: \underrightarrow{ R_{ y-axis}} \: H ' (1, 3)[/tex]
[tex] I (-1, - 1) \: \underrightarrow{ R_{ y-axis}} \: I ' (1, - 1)[/tex]
[tex] J (2, -2) \: \underrightarrow{ R_{ y-axis}} \: J'( -2, -2)[/tex]
[tex] K (2, 2) \: \underrightarrow{ R_{ y-axis}} \: K'( -2, 2)[/tex]
The coordinates of the image, H'I'J'K' are therefore;
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pls answer if wrong i report
Answer:
D) Dilation and reflection.
→ The shape was dilated by -1.
→ This shape was then reflected upside down.
DilationDilating a shape is the act of making a shape smaller by a scaled amount. Dilation is useful in mathematics when you need to determine difference in shapes' scales factors.
ReflectionReflection is mirroring a shape to its opposite image. For instance, I have triangle ∠ABC', which is facing right. I then reflect this image, and it becomes triangle ∠ABC", which now faces left on the opposite axis.
Find the perimeter of CDE
Answer:
4 + 4√2
Step-by-step explanation:
[tex]CD=\sqrt{\left( 4-4\right)^{2} +\left( -5 - (-1)\right)^{2} } \\\\\\ =\sqrt{\left( 0\right)^{2} +(-4)^{2} }\\\\\\\ = \sqrt{16 }\\\\\\ =4[/tex]
[tex]DE=\sqrt{\left( 2-4\right)^{2} +\left( -3 - (-5)\right)^{2} } \\\\\\ =\sqrt{\left(-2\right)^{2} +(2)^{2} }\\\\\\\ = \sqrt{8 }\\\\\\ =2\sqrt{2}[/tex]
[tex]\text{\bf{EC} $=\sqrt{\left( 4-2\right)^{2} +\left( -1 - (-3)\right)^{2} } \\\\\\ =\sqrt{\left( 2\right)^{2} +(2)^{2} }\\\\\\\ = \sqrt{8 }\\\\\\ =2\sqrt{2}$}[/tex]
Perimeter (∆CDE) = CD + DE + EC
= 4 + 2√2 + 2√2
= 4 + 4√2
≈ 9.7
Students on a campus of a college in California were asked "What will most likely help you to succeed in
college?" The results of this survey are tabulated below.
Reason
have a good roommate
study hard
live on campus
supportive family
always go to class
have a goal in mind
other
(a) What is the relative frequency for the reason "study hard"? (Write your answer as a fraction.)
Answer:
Frequency
583
620
187
163
558
645
439
(b) What is the relative frequency for the reason "have a goal in mind"? (Write your answer as a fraction.)
Answer:
Using it's concept, the relative frequencies are given as follows:
a) 124/639
b) 43/213
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
For this problem, the number of students is:
583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195.
620 responded study hard, hence the relative frequency is given as follows:
620/3195 (simplifying by 5)
124/639
645 responded goal in mind, hence the relative frequency is given as follows:
645/3195 (simplifying by 5)
129/639 (simplifying by 3)
43/213
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What is the solution set for the following
inequality?
6x +12 ≥ 2x + 10
