Answers
Related Questions
What is R such that PR : RQ = 2/5
Express as a coordinate
Answers
P (-2, -2)
Q (4, 8)
Let the point R (x, y) divide the line segment PQ in a 2:5 ratio.
ΔPAR ≈ ΔPBQ because of AAA.
Therefore
[tex] \frac{PA}{PB} = \frac{2a}{2a+5a} \\\\ \frac{x+2}{6}= \frac{2}{7} \\\\7x+14=12 \\\\ 7x=-2 \\\\ x=- \frac{2}{7} [/tex]
Also,
[tex] \frac{AR}{BQ}= \frac{2}{7} \\\\ \frac{y+2}{10} = \frac{2}{7} \\\\ 7y+14=20 \\\\ 7y = 6 \\\\ y = \frac{6}{7} [/tex]
Answer:
R has the coordinates (-2/7, 6/7) or (-0.2857, 0.8571)
LeAnn wants to giftwrap a present she got for her little brother. How many square inches of giftwrap will be needed to cover a box that is 4in x 6in x 2in? In your final answer, include all of your calculations.
Answers
The answer, also in the picture, is 88 square inches (or 88 in.^2)
Hope this helps!
there are 6 sides to a cube
2 are 4*6 = 24*2 =48
2 are 4*2 = 8*2 = 16
2 are 6*2 = 12*2 =24
48 +16 +24 = 88 square inches total
Each week, Christian earns $x fixing bicycles and receives $10 as his allowance. To find how much he will earn in total over 2 weeks, Christian calculates: x + 10 + x + 10. What is another way Christian can calculate how much he will earn in total over the 2 weeks?
A. x + 10
B. 2x + 10
C. x + 20
D. 2(x + 10)
Answers
If he earns $x in one week, then you need 2x to calcualte 2 weeks, add that with his allowance and there you have it.
Christian can calculate his total earnings over 2 weeks by simplifying the expression x + 10 + x + 10 to 2(x + 10). This method combines his earnings from fixing bicycles and his allowance for each week. Therefore, the correct answer is D. 2(x + 10).
To calculate how much Christian will earn in total over 2 weeks, you can simplify the expression x + 10 + x + 10:
First, combine like terms for the amount he earns from fixing bicycles: x + x = 2x.Next, combine the constants for his allowance: 10 + 10 = 20.This gives us the total expression: 2x + 20.Rewriting this, you get 2(x + 10). Therefore, the correct answer is D. 2(x + 10).
Match the following items.
1.) 2x + x + 4 = -17
2.) 3x + 4 = -17
3.) 3x = -21
4.) x = -7
Given
subtraction
combine like terms
division
Answers
2.) 3x + 4 = -17............combine like terms
3.) 3x = -21..................subtraction
4.) x = -7.....................division
The correct explanation for each expression are;
1. 2x + x + 4 = -17 Given
2. 3x + 4 = - 17 Combine like term.
3. 3x = - 21 Subtraction.
4. x = -7 Division.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 2x + x + 4 = -17
Now, Solve the expression for x by using suitable property as;
⇒ 2x + x + 4 = -17
Combine like term;
⇒ 3x + 4 = - 17
Subtract 4 both side;
⇒ 3x + 4 - 4 = -17 - 4
⇒ 3x = - 21
Divide by 3;
⇒ x = - 7
Thus, The correct explanation for each expression are;
1. 2x + x + 4 = -17 Given
2. 3x + 4 = - 17 Combine like term.
3. 3x = - 21 Subtraction.
4. x = -7 Division.
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What is the algebraic expression for the quotient of a number and nine
Answers
The equation of a line is x + 4y = 15.
What is the y-intercept of the line?
415
15
−15
154
Answers
Answer:
Option D.
Step-by-step explanation:
Y-intercept form of the equation of a line is given by y = mx + c
Where m = slope of the line
c = y-intercept
Given equation of a line is x + 4y = 15
We will transform this equation into the y intercept form first.
x + 4y = 15
4y = 15 - x
y = [tex]-\frac{x}{4}+\frac{15}{4}[/tex]
Therefore, y - intercept of this equation will be c = [tex]\frac{15}{4}[/tex]
Option D will be the answer.
Which is bigger 30% or 1/3
Answers
Let f(x) = 3x + 5 and g(x) = x2. Find g(x)/f(x) and state its domain.
Answers
g(x)/f(x) = x^2 / (3x + 5)
set denominator equals 0.
so
3x + 5 = 0
3x = -5
x = -5/3
Therefore x cannot equal -5/3
Domain (-∞ , -5/3) ∪ (-5/3, ∞)
hope it helps
Consider points R, S, and T. Which statement is true about the geometric figure that can contain these points? No line can be drawn through any pair of the points. One line can be drawn through all three points. One plane can be drawn so it contains all three points. Two planes can be drawn so that each one contains all three points.
Answers
c- one plane can be drawn so it contains all three points.
(i just took this on a mastery test)
Answer: The answer is (c) One plane can be drawn so that it contains all three points.
Step-by-step explanation: We are given three points R, S and T in a coordinate plane. Considering all these three points to be distinct and non-collinear, we can draw the following conclusions.
(i) Since each pairs of points. i.e., (R,S), (S,T) and (T,R) give rise to a straight line when joined, so option (a) is incorrect.
(ii) Through any two given points, we can always draw a line. If we consider a third point and since we are dealing with non-collinear points, so one line cannot be drawn through three points.
(iii)We can always draw a line by joining two points and when we join the two ends of the line to a third point which does not lie on the line, it will give rise to a plane. So, option (c) is correct.
(iv) We cannot draw two different planes through three given points. If we do so, the new plane will coincide with the previous one. This proves that option (d) is not correct.
Please see the attached figure, where P, Q and R are three non-collinear points. They give rise to a plane.
Thus, the correct option is (c).
Mr Webster is buying carpet for an exercise room in his basement the room will have an art of 230 square feet the width of the room is 12 1/2 what is the length
Answers
The length of Mr. Webster's exercise room is 18.4 feet, calculated by dividing the area (230 sq ft) by the width (12.5 ft).
To find the length of the room, we can use the formula for the area of a rectangle:
[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]
Given that the area is 230 square feet and the width is 12 1/2 feet, we can plug these values into the formula:
[tex]\[ 230 = \text{Length} \times 12 \frac{1}{2} \][/tex]
To solve for the length, divide both sides by 12.5:
[tex]\[ \text{Length} = \frac{230}{12 \frac{1}{2}} \]\[ \text{Length} = \frac{230}{\frac{25}{2}} \]\[ \text{Length} = 230 \times \frac{2}{25} \]\[ \text{Length} = 18.4 \][/tex]
So, the length of the room is [tex]\( \boxed{18.4} \)[/tex] feet.
1.3 divided by 0.0338 step by step please
Answers
338*30=338*3*10
1 2 (what I carry is at the top)
338
x3
____
1114
Multiplying that by 10, I get 11140, which isn't enough. Trying 338*40, which is 338*4*10, we can add 338 to 338*3 to get 338*4 to get
2
1114
+338
____
1462
Multiplying that by 10, we get 14620, which is more than 13000 - something we don't want. Repeating this for 338*35 (which is 338*3.5*10, and 3.5 is 3*338+338/2)=11830 and which isn't enough, we then move on to something between 35 and 40 (the number doesn't matter), say 39. 338*39=338*3.9*10, and 338*3.9 is 338*3+338*9/10, and
338*39 results to 13182, which is more than 13000 , but only by a tiny bit, so we can try 38 using the same method, getting 12844, which is smaller, so we know it's between 38 and 39. Finding the difference between 13000 and 12844, we get 13000-12844=156 and the answer is therefore 38+156/338
A man drives from home to the store, shops, and then drives back home. Click on the graph until the graph that best represents the given statement appears.
Answers
Click the third graph (check the picture attached)
ExplanationRemember that [tex]speed=\frac{distance}{time}[/tex], so the line in the first part of the graph means that the man is driving his car at certain speed (different form zero) from home to the store. The horizontal graph in the middle of the graph means that he man is sopping at the store; therefore his driving speed is 0. The third part of the graph means that the man is driving again from the store to home.
Check the picture bellow to visualize it more easily.
The length of a rectangle is 3 inches more than the width. the perimeter is 30 inches. find the length and width.
Answers
How many 2/3
cup servings are there in a 12-cup pitcher of orange juice?
Answers
12 * 3/2
36/2
18 cups
Hope this helps!
18 times 2/3 the answer should be there
How do you solve this equation?
5 (x+2) = 7 (4 - x)
Answers
5x+10=28-7x
Add 7x to both sides
12x+10=28
Subtract 10 from both sides
12x=18
Divide both sides by 12
x=18/12
x=3/2
Final answer: x=3/2
Find the vertical, horizontal, and slant asymptotes, if any, for f(x)= 3x^3-28x^2+54x-24/x^2-8+7
Answers
Long division gives a quotient of 3x - 4 so y = 3x - 4 is a slant asymptote
First, work out the domain of f(x).
The function is in form of algebraic fraction and it cannot be defined when the denominator is zero. The vertical asymptote is the same value of x that gives denominator = zero
[tex]x^2-8x+7 = 0[/tex] ⇒ Factorize
[tex](x-7)(x-1) = 0[/tex]
[tex]x-7=0[/tex] and [tex]x-1=0[/tex]
[tex]x=7[/tex] and [tex]x=1[/tex]
so, the vertical asymptote is at x = 1 and at x = 7
----------------------------------------------------------------------------------------------------------------
Horizontal asymptote:
The three rules to determine the horizontal asymptote
1) The polynomial degree of numerator SMALLER to the polynomial degree of denominator, the horizontal asymptote is at y = 0 (along the x-axis)
2) The polynomial degree of numerator HIGHER than the polynomial degree of denominator, there is no horizontal asymptote
3) The polynomial degree of numerator EQUAL to the degree of the denominator, divide the coefficient of the highest degree term.
We have numerator = 3x³ - 28x² + 54x - 24 [this is a polynomial of degree 3]
We have denominator = x^2-8x+7 [this is polynomial of degree 2]
The polynomial degree of numerator > polynomial degree of the denominator, so there is no horizontal asymptote.
----------------------------------------------------------------------------------------------------------------
Slant asymptote:
Divide the numerator by the denominator
[3x³-28x²+54x-24] ÷ [x²-8x+7]
Refer to the diagram below
We have the result of 3x - 4 with a remainder
So the slant asymptote is 3x - 4
Which is the best estimate of each percent 48% of 199
Answers
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a radius of 8 inches.
What it looks like: two circles touching at one point. Larger circle has radius of 8 inches. Smaller circle has radius of 2 inches.
Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation? Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear? Show all work.
Answers
ω₁ and ω₂ are the angular velocities of the larger and smaller gears respectively.
Part 1.
When the smaller gear makes one revolution, it turns through an angle of 2π radians or 360°.
Because the gears do not slip, the larger gear turns through an angle of θ, so that
(θ radians)*(8 in) = (2π radians)*(2 in)
or
8θ = 4π
θ = π/2 radians = 90°
Answer: 90.0°
Part 2.
When the larger gear makes one revolution, it turns through an angle of 2π radians.
Because the gears do not slip, the smaller gear turns through an angle φ, such that
(2 in)*(φ radians) = (8 in)*(2π radians)
or
2φ = 16π
φ = 8π radians
= (8π radians)*(1/2π rotations/radian)
= 4 rotations
Answer: 4 rotations
9/10 and -9/10 determine if parallel, perpendicular, or neither
Answers
Perpendicular means they have opposite reciprocal slopes.
We can apply these concepts to this question. Although they are opposites of each other, they are not reciprocals.
So, the answer is neither
Hope this helps!
Describe how to derive the quadratic formula from a quadratic equation in standard form. edginuity
Answers
[tex]ax^2+bx+c=a(x^2+ \dfrac{b}{a}x+ \dfrac{c}{a} )\\ =a(x^2+2* \dfrac{b}{2a}x +( \dfrac{b}{a} )^2- (\dfrac{b}{a} )^2+\dfrac{c}{a})\\ =a((x+ \dfrac{b}{2a} )^2- \dfrac{b^2-4ac}{4a^2} )\\ =a(x+ \dfrac{b}{2a} )^2- \dfrac{b^2-4ac}{4a} [/tex]
Answer:
The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.
Step-by-step explanation:
If x2 + kx + 18 is factorable, what are the possible values of k?
Answers
The factors of 18 are
(1 x 18); (2 x 9); (3 x 6).
If we use (1, 18) as factors, then
(x - 1)(x - 18) = x² - 19x + 18 => k= -19
or
(x + 1)(x + 18) = x² + 19x + 18 => k = 19
If we use (2,9) as factors, then
(x - 2)(x - 9) = x² - 11x + 18 => k = - 11
or
(x + 2)(x + 9) = x² + 11x + 18 => k = 11
If we use (3, 6) as factors, then
(x - 3)(x - 6) = x² - 9x + 18 => k = - 9
or
(x + 3)(x + 6) = x² + 9x + 18 => x = 9
Answer:
The possible values of k are -9,+9, -11, +11, -19, +19.
Final answer:
The possible values of k in the factorable quadratic expression x^2 + kx + 18 can be determined by finding the factors of 18 that can be multiplied to obtain the constant term.
Explanation:
If the quadratic expression x^2 + kx + 18 is factorable, the possible values of k can be determined by finding the factors of 18 that can be multiplied to obtain the constant term.
The factors of 18 are:
1 and 18
2 and 9
3 and 6
Therefore, the possible values of k are -19, -10, -3, 3, 10, and 19.
the product of 15 and 7 added to 8
Answers
Final answer:
To calculate the requested expression, multiply 15 by 7 to get 105, and then add 8 to this product to find the sum, which is 113.
Explanation:
The question asks to calculate the result of the mathematical expression where a product is first found by multiplying 15 and 7 and then that product is added to 8. To solve this, you need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, calculate the product of 15 and 7 to get 105.
Next, add this product to 8 to find the final result.
So, 105 + 8 equals 113.
The correct answer to the question is 113, which is the sum of the product of 15 and 7, with 8 added.
What is the range of the following relation?
all real numbers
x ≤ 0
y ≤ 0
Answers
y ≤ 0
ExplanationRemember that the range is all the possible y-values that the relation can take. We can see in the picture that the repletion is always bellow of the positive y-axis, so the relation can take only negative y-values or zero. In other words, the range of the relation is all the y-values greater or equal than zero, which we represent with the inequality: y ≤ 0. The domain, on the other hand, is all the real numbers; since x can take any value.
Answer:
y ≤ 0 is the correct answer
Step-by-step explanation:
you gots to see it through mah boi
Complete the data set with one value so that the mean of the data is 13.
10,14,8,16,12,____
Answers
(60 + x) / 6 = 13
60 + x = 13 * 6
60 + x = 78
x = 78 - 60
x = 18 <=====
The value of another number such that mean remains 13 is 18.
What is mean?The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.
Mean = sum of data / Number of data
For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be
( 40 + 45+ 44 + 46 + 48) /5 = 44.6.
Let's say that number is x
Then,
Mean = (10 + 14 + 8 + 16 + 12 + x)/6
(60 + x)/6 = 13
x = 18
Hence "The value of another number such that mean remains 13 is 18".
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During a huge snowstorm in the White Mountains last year, it snowed 61.5cm in one day. How much did it snow in meters? Be sure to include the correct unit in your answer.
Answers
The snowfall during the snowstorm in the White Mountains was 61.5 cm, which is equivalent to 0.615 meters when converted.
Explanation:To convert the snowfall from centimeters to meters, we need to understand that 1 meter is equivalent to 100 centimeters. With this, to find the snowfall in meters, you simply divide the snowfall in centimeters by 100. So, the snowfall of 61.5 centimeters would be 0.615 meters.
This is because:
1 meter = 100 centimetersTo convert centimeters to meters, divide by 10061.5 cm / 100 = 0.615 metersLearn more about Conversionhttps://brainly.com/question/5561273
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Express in scientific notation. Make sure your answer has the same number of significant figures as the starting value. 1,645.6 = _____
Answers
Describe the transformation of ΔABC.
A) rotation of 90° about the origin
B) rotation of 60° about the origin
C) rotation of 180° about the origin
D) rotation of 270° about the origin
Answers
Answer:
Transformation of ΔABC rotation of 180° about the origin .
Step-by-step explanation:
Given : Coordinates of Δ ABC ,=A ( 3,5) , B( 6,1) , C( 0,1) .
Coordinates of Δ A'B'C' = A' ( -3,-5) , B'(- 6,-1) , C'( 0,-1) .
To find :
Describe the transformation of ΔABC.
Formula used : 180° rotation (clock wise and counter clock wise)
( x , y ) -------> ( -x , -y ).
Solution :
A ( 3,5)-------> A' ( -3,-5).
B( 6,1)---------> B'(- 6,-1).
C( 0,1).---------> C'( 0,-1) .
Therefore, the transformation of ΔABC rotation of 180° about the origin .
A runner wants to run 10.0 km. she knows that her running pace is 7.5 miles per hour. how many minutes must she run?
Answers
7.5=10/time
Time =1.3333 hour=60+.3333*60=80 minutes
A runner must run for 50 minutes to cover the distance of 10 kilometers.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
here,
A runner wants to run 10.0 km. she knows that her running pace is 7.5 miles per hour.
7.5 miles = 12 kilometers
Speed = 12 kilometers/hours
1 hour = 60 minutes
Speed = 12 / 60 kilometers per minute
Speed = 0.2 kilometers per minute
Time = distance/speed
Time = 10 / 0.2
Time = 50 minutes
Thus, A runner must run for 50 minutes to cover the distance of 10 kilometers.
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A broken faucet leaks 1 gallon of water every 1 and1/3 months the amount of months that pass m varies directly with the amount of gallons leaked g. Find the equation that models this direct variation. How many months will it take for the faucet to leak 7 gallons of water?
Answers
[tex]\bf \textit{\underline{m} varies directly with the amount of gallons}\implies \stackrel{months}{m}=k\stackrel{gallons}{g} \\\\\\ \textit{we also know that } \begin{cases} m=1\frac{1}{3}\\ \qquad \frac{4}{3}\\ g=1 \end{cases}\implies \cfrac{4}{3}=k1\implies \cfrac{4}{3}=k \\\\\\ \boxed{m=\cfrac{4}{3}g}\\\\ -------------------------------\\\\ \textit{what's \underline{m} when g=7?}\qquad m=\cfrac{4}{3}\cdot 7\implies m=\cfrac{28}{3}\implies m=9\frac{1}{3}[/tex]
Answer:
m = [tex]\frac{4}{3}[/tex]g, k= 9[tex]\frac{1}{3}[/tex] months
Step-by-step explanation:
A sporting goods store pays $150 for a rubber raft. The percent of markup is 55%. Find the raft’s selling price.