Answer:
Proportional
Step-by-step explanation:
The Bags of Screws (input) is multiplied by 5 to get the Price (output) each time, so the situation is proportional. If one or two numbers were not multiplied by 5 to get the Price (output), the situation would not be proportional.
Hope it helps!
A car rental company charges $31 per day and $0.10per mile
(a) computer the cost of renting the car for one day assuming the car is driven 100 miles
Answer:
a) $41
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION I DONT UNDERSTAND IT I NEED HELP ITS DUE IN 3 MINUTES
Answer:
I think it's 64, I'm not sure but I hope this helps
Step-by-step explanation:
IT'S NOT 64!! The real answer is 45%
translate this sentence into an equation. The product of hectors height and 5 is 95. Use the variable h to represent hectors height.
Answer:
h x 5 =95
Step-by-step explanation:
good luck
Ram gained 25 percent by selling a second hand motorcycle for Rs. 45000. At
price did Ram buy that motorcycle?
Answer:
Ram bought that motorcycle for Rs. 36000
Step-by-step explanation:
Given that:
Amount gained = 25%
Selling price of motorcycle = Rs. 45000
As 100% will be the original price, then 25% will be added into it.
125% will be the new percentage.
Let,
x be the original price of motorcycle.
125% of x = 45000
\(\frac{125}{100}x=45000\)
1.25x=45000
Dividing both sides by 1.25
\(\frac{1.25x}{1.25}=\frac{45000}{1.25}\\\)
x=36000
Hence,
Ram bought that motorcycle for Rs. 36000
HURRY Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
Answer: (In order)
25/4 / 6 1/4 = 1
3 1/7 / 2/7 = 11
5/4 / 1/4 = 5
11 1/4 / 9/4 = 5
8 1/4 / 3/4 = 11
3 1/3 / 10/3 = 1
Step-by-step explanation:
Triangle XYZ is a right triangle with ZQ¯¯¯¯¯⊥XY¯¯¯¯¯¯ . A right triangle with vertices labeled X, Y, and Z. Side Y Z is the base. Angle Z is marked as a right angle. Side X Y contains a midpoint labeled Q. A line segment is drawn through vertex Z to the point Q that bisects angle X Z Y into two parts. Angle X Q Z is marked as a right angle. Side Z X is labeled as a. Side Y Z is labeled as b. Side X Y is labeled as c. Segment X Q is labeled as f. Segment Q Y is labeled as e. Segment Q Z is labeled as d. Drag and drop a correct answer into each box to complete the proof of the Pythagorean theorem. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. By the angle-angle similarity postulate, △YXZ∼△YZQ and △YXZ∼△ZXQ. Since similar triangles have Response area sides, ac=fa and bc=eb . Solving the equation for a² and b² gives a2=cf and b2= Response area. Adding these together gives a2+b2=cf+ce. Factoring out the common segment gives a2+b2=c(f+e). Using Response area gives a2+b2=c(c), which simplifies to a2+b2=c2 .
The answers are proportional , ce, segment addition postulate if the Triangle XYZ is a right triangle with ZQ XY.
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
Given,
Triangle XYZ is a right triangle with ZQ XY.
proportional
ce
segment addition postulate
You want the words that finish the proof of the Pythagorean theorem.
Similar triangles
The proof makes use of the fact that the right triangles in the figure are all similar, and the fact that similar triangles have proportional sides.
The proportion b/c = e/b can be rearranged to b² = ce.
Then the segment addition theorem is invoked to let you use the fact that f+e = c.
Therefore, The answers are proportional , ce, segment addition postulate if the Triangle XYZ is a right triangle with ZQ XY.
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The triangle shown below has a base of 6 inches and a height of 4 inches. 6 What is the area, in square inches, of this triangle?
Answer:
Step-by-step explanation:
formula = b*h : 2
=> 4*6:2=24:2=12
UVT equals what?....
Answer:
m<UVT = 114°
Step-by-step explanation:
½(sum of intercepted arcs) = measure of vertex of an angle inside a circle
Thus:
½(FS + UT) = m<UVT
Substitute
½(53 + 175) = m<UVT
½(228) = m<UVT
114 = m<UVT
m<UVT = 114°
What can be used to define any
nonvertical line in the Cartesian
coordinate system?
An equation can be used to define any non-vertical line in the Cartesian Coordinate system. The correct option is C.
What is a Non-vertical Line ?A nonvertical line is a line that has a slope and is defined by its steepness.
It can be represented by a straight line equation y = mx+c, here m is the slope and c is the y-intercept.
The slope can be determined by using two points on the line (x₁,y₁) and (x₂,y₂)
m = (y₂-y₁)/(x₂-x₁)
From the options given, An equation can be used to define any non-vertical line in the Cartesian Coordinate system.
The correct option is C.
The complete question is attached with the answer.
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Please solve with explanation high points
Answer:
a. -2x^2 + 3x+5=y
b.-x^2 +5x-4=y
c.-x^2 +6x-12=y
Step-by-step explanation:
a.y=-2x^2 +bx+c
the points P and Q lie on curve
\(\left \{ {{-b+c=2} \atop {b+c=8}} \right.\)
=> b=3, c=5
b. delta = b^2 +4c
x1= \(\frac{-b+\sqrt{b^{2}+4c } }{-2}\) =4
=> \(b-\sqrt{4c+b^{2} }\)=8
x2=\(\frac{-b-\sqrt{b^{2}+4c } }{-2}\)=1
=>2=b+\(\sqrt{b^{2}+4c }\)
suppose : \(\sqrt{b^{2}+4c }\) = a
=> \(\left \{ {{a+b=2} \atop {-a+b=8}} \right.\)
=> a=-3
b=5
a=-3 => \(\sqrt{b^{2}+4c }\) =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.
c.vertex (3;-3)
\(\frac{-b}{-2}\)=3 => b =6
\(\frac{-D}{4a}\)=\(\frac{-b^{2}+4ac}{-4}\) =-3 =>-b^2+4ac=12 => c=-12.
What is the inverse of x/4 ?
ill give brainlist thingy lol
Step-by-step explanation:
If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,
f(f-1(x)) = x
So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then
f(K) = x
K/4 = x
K = 4x
But I want to recover f-1(x), so replace it back.
f-1(x) = 4x
Done
A packaging employee making $20
per hour can package 160 items
during that hour. The direct
material cost is $.50 per item. What
is the total direct cost of 1 item?
Answer:
To find the total direct cost of one item, we need to calculate the sum of the direct labor cost and the direct material cost.
Direct labor cost per item = (hourly rate)/(number of items per hour) = $20/160 = $0.125 per item
Direct material cost per item = $0.50 per item
Total direct cost per item = direct labor cost per item + direct material cost per item
= $0.125 + $0.50 = $0.625
Therefore, the total direct cost of one item is $0.625.
16 – (3 – 4y) = 2(y + 2)
Answer:
\(y = -4\frac{1}{2}\)
Step-by-step explanation:
\(16-(3-4y) = 2(y+2)\)
Distribute.
\(16 - 3 + 4y = 2y + 4\)
Combine like terms.
\(13 + 4y = 2y + 4\)
Subtract \(2y\) from both sides.
\(13 + 2y = 4\)
Subtract 13 from both sides.
\(2y = -9\)
Divide both sides by 2.
\(y = -4\frac{1}{2}\)
I hope this helps!
Which of the following is not a Pythagorean triple?
A. (6, 8, 10)
B. (9, 12, 15)
C. (7, 24, 25)
D. (4, 5, 6)
Answer:
D. 4, 5, 6, then
H² = P² + B²
6² = 5² + 4²
36 = 25 + 16
36 ≠ 41
This is not Pythagorean triple.
Solve. Remember to check for extraneous solutions. Use a comma to separateanswers14 – 2y + 5 = 9Please explain!!
Answer:
The solutions are:
\(y=4\)and
\(y=0\)Explanation:
Given the equation:
\(|4-2y|+5=9\)To solve for y:
Subract 5 from both sides
\(\begin{gathered} |4-2y|+5-5=9-5 \\ |4-2y|=4 \end{gathered}\)Next, the absolute value always has two solutions:
\(4-2y=4\)and
\(4-2y=-4\)We need to solve each of these equations.
1.
\(\begin{gathered} 4-2y=4 \\ \text{Subtract 4 from both sides} \\ 4-2y-4=4-4 \\ -2y=0 \\ y=\frac{0}{-2}=0 \end{gathered}\)2.
\(\begin{gathered} 4-2y=-4 \\ \text{Subtract 4 from both sides} \\ 4-2y-4=-4-4 \\ -2y=-8 \\ \text{Divide both sides by -2} \\ y=\frac{-8}{-2}=4 \end{gathered}\)O. A water jug is filled with 128 fluid ounces. Anna
pours out 3 pints of liquid from the jug. How
many pints remain?
A. 5 pints
B. 6 pints
C. 8 pints
D.
11 pints
Answer:11
Step-by-step explanation:
Hey can anyone help me understand how to graph this?
Answer:
Step-by-step explanation:
?
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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HELP ME PLEASE I WILL GIVE POINTS THANK YOU SO MUCH
The angle of X is 108°
Given,
XW ≅ YZ
∠Z = 72°
then ∠X = ?
Properties of trapezoid are:
The base sides are the only pair of sides that are parallel. Other than the base, the remaining sides are all non-parallel and equal in length. The length of the diagonals is constant. the same for the base angles.We know that from the figure that ∠Z = ∠V & ∠W = ∠U
∵ Isosceles trapezoid rule
And sum of all the angles in a trapezoid = 360°
Now, 2 × 72 = 144
∴ 360 ₋ 144 = 216°
Now sum of other two angles = 216°
one angle = 216/2
= 108°
Therefore the angle of ∠X is 108°
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the lenght of a room is twice its breadth and thrice its height if the cost of carpeting the floor at rs 80 per sq metre is rs 9000 find the cost of plastering its walls and ceiling at rs 35 per sq metre
Answer:
Let's define the variables:
L = length of the room
B = breadth of the room
H = height of the room.
We know that:
L = 2*B
L = 3*H
Remember that the area of a rectangle of length L and breadth B is:
A = L*B
Then the area of the floor of the room is:
A = L*B
and L = 2*B, if we replace that, we get:
A = (2*B)*B
A = 2*B^2
Now, we know that the cost of carpeting the floor is $80 per m^2
And the total cost was $9000
Then the number of square meters in the floor (thus, the area of the floor) is:
A = ($9000)/($80) m^2
A = 112.5 m^2
With this, we can find the value of B.
A = 112.5 m^2 = 2*B^2
B = √( 112.5/2) m = 7.5 m
Then the length is:
L = 2*B = 2*7.5m = 15m
And the height is:
L = 3*H
H = L/3 = 15m/3 = 5m
Now that we know all the dimensions of the room, we need to find the area of the four walls, and the area of the ceiling (which is equal to the area of the floor 112.5 m^2)
Now, we will have two walls with an area of:
area = breadth*height = B*H = (7.5m)*(5m) = 37.5m^2
And two walls with an area of:
area = length*height = L*H = 75m^2
Then the total area of the four walls plus the ceiling is:
A' = 2*(37.5m^2) + 2*( 75m^2) + 112.5 m^2
A' = 337.5 m^2
And we know that for each m^2, the cost of plastering is $35
Then for 337.5 m^2, the cost will be 337.5 times $35
Cost = (337.5)*$35 = $11,812.50
what number times itself gives 256
Answer:
16
Step-by-step explanation:
16 × 16 = 256
√256 = 16
hope this helps...
Joey wants to buy the new play station 4. The play station 4 costs $300 and each game costs $60. If he has $700 to spend, what is the maximum number of video games he can buy?
you are given numbers, {30 + n, n/3, square root n+16}. Find the smallest value of n so that all of the numbers in the set are natural numbers.
========================================================
Explanation:
Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get
30+n = 30+0 = 30n/3 = 0/3 = 0sqrt(n+16) = sqrt(0+16) = 4The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.
So we can't use n = 0.
Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.
If n = 9, then,
30+n = 30+9 = 39n/3 = 9/3 = 3sqrt(n+16) = sqrt(9+16) = 5We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.
The smallest value of n = 9 is that all of the numbers in the set are natural numbers in {30 + n, n/3, √(n+16)}.
What are Natural Numbers?Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
Assume n is not negative for the whole number. Using n = 0, the smallest nonnegative value, we obtain
30 + n = 30 + 0 = 30
n/3 = 0/3 = 0
√(n+16) = √(0+16) = 4
In the middle result, 0, there is no natural number. The set of positive whole numbers starting with {1, 2, 3, 4, ..} is known as the natural numbers.
Therefore, n = 0 is not a possibility.
We have to determine by trial and error that n = 9 is the next possible value we may test such that √(n+16) is a natural number and so is n/3.
If n = 9, then,
30 + n = 30 + 9 = 39
n/3 = 9/3 = 3
√(n+16) = √(9+16) = 5
The middle result, which is now greater than 0, is a natural number, as can be shown. The final outcome also corresponds to this description.
Thus, the smallest value of n = 9 is that all of the numbers in the set are natural numbers.
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Do not put any punctuation (other than a necessary decimal place) or spaces into your answer.
When Claudia borrowed $6400 at 11% compounded semiannually for three years, the value of the rate per period was
Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.
What is compound interest?
compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.
Capital(p) = $6400
Rate of interest(r) = 11%
Years(n) = 3
The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).
Now
\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)
The entire amount (Capital+interest) is equal to $8752.8384.
If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)
Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.
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match each measurement on the left with an equal measurement on the right. Some answer options on the right will not be used21/3 yards102 inches31/2 miles41/2 miles18,480 feet7 feet71/2 feet81/2 feet21,120 feet23,760 fee
SOLUTION
To match each measurement with its corresponding equal value.
We will resolve the measurements on the left to feet and compare them with the measurements on the right.
Convert 2 1/3 yards to feet
\(\begin{gathered} 1\text{ yards = 3 feet} \\ \frac{7}{3}\text{yards = 3 }\times\frac{7}{3}=7\text{ feet} \\ \end{gathered}\)So the first measurement on the left can be matched to the 2nd measurement on the right.
\(\begin{gathered} \text{Convert 102 inches to feet} \\ \end{gathered}\)\(\begin{gathered} 1\text{ inch = }\frac{1}{12}\text{ feet} \\ 102\text{ inches =}\frac{1}{12}\times102=8\text{ }\frac{1}{2}ft\text{ or 8 1/2 feet} \end{gathered}\)The second measurement on the left can be matched to the 4th measurement on the right.
\(\begin{gathered} \text{Convert 3 1/2 miles to feet} \\ 1\text{ miles = 5280 feet } \\ \frac{7}{2}\text{miles}=\text{ 5280 }\times\text{ }\frac{7}{2}=18,480\text{ feet} \end{gathered}\)The third measurement on the left can be matched to the 1st measurement on the right.
\(\begin{gathered} \text{Convert 4 1/2 miles to feet} \\ 1\text{ miles = 5280 feet} \\ \frac{9}{2}\text{miles}=5280\times\frac{9}{2}=23,760\text{ feet} \end{gathered}\)The fourth measurement on the left can be matched to the 6th measurement on the right.
Help me plsssssssssssssssss
Answer:
5/2
Step-by-step explanation:
(5/3+4/3)/4-2=3/4-2=-5/4
(-5/4)*(-2)=5/2
1) What is the sample space for the given situation?
A) [2, 3, 4, 5, 6, 7, 8, 9)
B) [3, 4, 5, 6, 7, 8, 9)
(1,3,5,7,9
D) {3,5,7)
Please help
Answer:
false_(a) 3 € {2,4,6,8} false_(b) 0 € false (c) {1} € {1, 2, 3} true_(d) {2} S {1, 2, 3} true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} true_ () Ø Ç {1,3
Step-by-step explanation:
i don't know about this is this it ?
PLEASE NEED ANSWERS!
Answer: 1
Step-by-step explanation:
Please answer the attached question
The 5th term of the arithmetic series is 1179/ 19.
How to solve an arithmetic series?The 10th term of the arithmetic series , S is 66.
Using arithmetic formula,
aₙ = a + (n - 1)d
where
n = number of termsd = common differencea = first termTherefore,
66 = a + 9d
The sum of the first 20 terms of S is 1290.
Therefore,
Sₙ = n / 2 (2a + (n - 1)d)
1290 = 10(2a + 19d)
1290 = 20a + 190d
combine the equation
66 = a + 9d
1290 = 20a + 190d
Hence,
a = 66 - 9d
1290 = 20(66 - 9d) + 190d
1290 = 1320 - 180 + 190d
1290 - 1320 + 180 = 190d
190d = 150
d = 150 / 190
d = 15 / 19
Hence,
a = 66 - 9(15 /19)
a = 66 - 135 / 19
a = 1254 - 135/ 19
a = 1119 / 19
Hence, let's find the fifth term.
a₅ = a + 4d
a₅ = 1119 / 19 + 4(15 / 19)
a₅ = 1119 / 19 + 60 / 19
Therefore,
a₅ = 1179/ 19
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PLEASE HELP ASAP I HAVE NO CLUE HOW TO DO THIS ONE!!
Answer:
16
Step-by-step explanation:
13+4 is 17
The smallest whole-number less that 17 is 16, so the answer is 16.
Hope this helped!