Answers
Adding the two equations will be adding similar terms to both equations. That is:
8x + (-8x) = 0
-10y + (-6y) = -16y
20 + (-4) = 16
Therefore, adding the two equations will look like -16y = 16. (Option 3)
Related Questions
Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day Explain your reasoning. Answer is $178 explain your answer thank you! 40 points if answered correctly!!
Answers
Answer:
$194.69
Step-by-step explanation:
The best way to predict the amount of tips is using this formula:
[tex]100(\frac{Tips(total)}{Customers(total)} )[/tex]
This finds the average tip per customer with all of the data, and multiplies it by 100 to get the predicted amount of tips for 100 customers.
Plugging in the data from the table gives you this equation:
[tex]100(\frac{1174}{603} )[/tex]
This equals $194.69.
1. What is the domain of the graph?84-8O{x | -3 SXS3)all real numbers{x | xs-3 or x 2 3}y 1-3 sy s 3)
Answers
From the graph below, the domain is
[tex]x\colon\text{ x }\leq\text{ -3 or x }\ge\text{ 3}[/tex]Which expression is equivalent to the given expression? \frac{\left(ab^{2}\right)^{3}}{b^{5}}
Answers
The expression which is equivalent to the given expression; (ab²)³/b⁵ as given in the task content is; a³b.
Which expression is equivalent to the given expression; (ab²)³/b⁵ as in the task content?It follows from the task content that the expression which is equivalent to; (ab²)³/b⁵ be determined.
Hence, since the given expression is; (ab²)³/b⁵.
By first applying the power of power law of indices; we have;
(ab²)³/b⁵ = a³b⁶/b⁵.
Also, by applying the quotient of powers rule of indices; we have;
a³ b^(6 - 5)
= a³b¹
= a³b
Ultimately, the expression which is equivalent to; (ab²)³/b⁵ as required in the task content is; a³b.
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vinny has decided to order high tops in black and white at a 5.8 ratio. he beleives he will need a total of 169 pairs. how many black high tops will he order
Answers
Answer:
65 pairs
Step-by-step explanation:
Black makes up 5/(5+8) = 5/13 of the total order, so ...
(5/13)(169 pairs) = 65 pairs
Vinny will order 65 pairs of black high tops.
Describe a series of transformations Matt can perform to decide if the two windows are congruent
Answers
Answer:
See below
Step-by-step explanation:
Rotate rectangle A 90 ° clockwise with the center being the lower right hand corner. Then translate down and right until rectangle A in over rectangle B
Does anyone understand this geometry question
Answers
Answer:
This is an isosceles right triangle, so
x = 45°.
I need help with this question but no one is helping me! Can someone please help me
Answers
Answer:
the probability is 2/8
Step-by-step explanation:
What is the length of a rope if the mass of a rope is 4.25
Answers
Using a regression calculator, the line of best fit for the given set of data is:
[tex]y=0.34121x+0.168088[/tex]where y = mass of the rope and x = length of the rope.
To estimate the length of the rope if its mass is 4.25 kilograms, let's replace "y" in the equation above with 4.25, and then solve for x.
[tex]4.25=0.34121x+0.168088[/tex]Subtract 0.168088 on both sides of the equation.
[tex]4.25-0.168088=0.34121x+0.168088-0.168088[/tex][tex]4.081912=0.34121x[/tex]Then, divide both sides of the equation by 0.34121.
[tex]\frac{4.081912}{0.34121}=\frac{0.34121x}{0.34121}[/tex][tex]\begin{gathered} 11.963049=x \\ 11.96\approx x \end{gathered}[/tex]Therefore, the length of the rope having a mass of 4.25 kilograms is approximately 11.96 meters.
Please explain the steps you would take to solve this derivative (gr 12 calc)
Answers
First step, derivative of the constant:
[tex]f^{\prime}(x)=\frac{1}{2}\frac{d(e^{-3x^2+tan(3x+5)})}{dx}[/tex]Second step, the chain rule:
[tex]\begin{gathered} =\frac{1}{2}e^{-3x^2+tan(3x+5)}*\frac{d(-3x^2+tan(3x+5))}{dx} \\ =\frac{1}{2}e^{-3x^2+tan(3x+5)}*\frac{(-6x+sec^2(3x+5)*3)}{} \end{gathered}[/tex]Where we applied that the derivative of tangent is the secant^2.
Hence the answer is:
[tex]\frac{1}{2}e^{-3x^2+tan(3x+5)}*\frac{(-6x+3sec^2(3x+5))}{}[/tex]Write the equation of the perpendicular bisector of XY if endpoint X is at (-9,1) and endpoint Y is at (3,5). A) y = -X B) y = 3x - 6 C) y = -3x - 6 D) y = 3x + 12
Answers
A perpendicular bisector is a segment which intersects another segment on its midpoint and with a right angle.
First, we have to find the midpoint between X(-9,1) and Y(3,5), as follows
[tex]\begin{gathered} M=(\frac{-9+3}{2},\frac{1+5}{2}) \\ M=(\frac{-6}{2},\frac{6}{2}) \\ M=(-3,3) \end{gathered}[/tex]This means the perpendicular bisector must pass through (-3,3). Now, with the given points we find the slope of XY
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{5-1}{3-(-9)}=\frac{4}{3+9}=\frac{4}{12} \\ m=\frac{1}{3} \end{gathered}[/tex]Then, we apply the rule of perpendicularity to find the slope of the perpendicular bisector.
[tex]\begin{gathered} m_1\cdot m=-1 \\ m_1=\frac{-1}{m} \\ m_1=-\frac{1}{\frac{1}{3}}=-3 \end{gathered}[/tex]Now, we use the slope-point formula to find the equation for the perpendicular bisector.
[tex]y-y_1=m(x-x_1)[/tex]Where we replace the slope -3 and the point (-3,3).
[tex]\begin{gathered} y-3=-3(x-(-3)) \\ y-3=-3x-9 \\ y=-3x-9+3 \\ y=-3x-6 \end{gathered}[/tex]Therefore, the right answer is C.Please help!
The volume of a sphere is 36 in³. What is the surface area?
Answers
Answer:
Step-by-step explanation:
V = 4/3.pi.r^3
36 = 4/3 pi r^3
8.6 = r^3
r = 2 in
---------------------
Area of sphere :
A = 4.pi.r^2
A = 4 . Pi . 2^2
A = 16 Pi
A = 50.26 in
Find the mean, mode, and range Mean_______ show all workRange_______show all workExplain how you find thisMode_________
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To answer this question, it is a good practice to order the data in ascending order as follows:
[tex]9,\: 10,\: 10,\: 10,\: 10,\: 11,\: 11,\: 11,\: 11,\: 11,\: 11,\: 12,\: 12,\: 12,\: 12,\: 12,\: 13,\: 13,\: 13,\: 14,\: 14,\: 15,\: 15,\: 15,\: 15,\: 15,\: 15,16,17,17[/tex]We need to check for the total number of data. In this case, we have 30 observations.
Finding the meanTo find the mean, we need to find the sum of all the observations and then divide this result by the total of observations (30). Then, we have:
[tex]\frac{9+\: 10+\: 10+10+\: 10+\: 11+\: 11+\: 11+\: 11+\: 11+\: 11+\: 12+\: 12+\: 12+\: 12+\: 12+\: 13+\: 13+\: 13+\: 14+\: 14+15+\: 15+\: 15+15+15+_{}15+16+17+17}{30}[/tex]Then, the value for the mean is:
[tex]\text{mean}=\frac{382}{30}=12.73333333\ldots[/tex]Finding the rangeThe range is the result of subtracting the greatest number and the lowest number in the data:
[tex]\text{Range}=17-9=8[/tex]Finding the modeThe mode is the observation that is repeated the most (appears the most).
We can see that we have two values that appear six times in the list: 11 and 15.
Therefore, we can see that there is not a unique element, so there is no mode.
In summary, we have:
• Mean = 12.73333...
,• Range = 8
,• Mode = None.
This is my practice review me I have unlimited attempts. I need help with this question
Answers
Let x represent the number of pounds of coffee that she bought.
From the information given,
cost per pound of coffee = $8.73
Cost of x pounds of coffee = 8.73 * x = 8.73x
Initial amount that she had = $90
After spencing $8.73x, the amount left is $63.81. This means that
90 - 8.73x = 63.81
8.73x = 90 - 63.81
8.73x = 26.19
x = 26.19/8.73
x = 3
She bought 3 pounds of coffee
HELP ME WITH IS PROBLEM THANK YOU
Answers
The given algebraic expression would be equivalent to the expression [tex]\dfrac{1}{4(x)^\frac{2}{9} }[/tex] which is the correct answer would be an option (B)
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The given algebraic expression is:
[tex](64x^{\frac{2}{3} })^{-\frac{1}{3} }[/tex]
Apply the property of a⁻ˣ = 1/aˣ in the above term,
[tex]\dfrac{1}{ (64x^{\frac{2}{3} })^{\frac{1}{3} }}[/tex]
Here 64 = 4×4×4 = 4³
[tex]\dfrac{1}{ (4^3x^{\frac{2}{3} })^{\frac{1}{3} }}[/tex]
Apply the cube root property and Multiply the exponent of the variable x to 1/3
[tex]\dfrac{1}{ 4x^{\frac{2}{3} }^\times^{\frac{1}{3} }}[/tex]
Apply the multiplication operation to the exponent of the variable x to get the solution.
[tex]\dfrac{1}{4(x)^\frac{2}{9} }[/tex]
Hence, the correct answer would be an option (B)
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Find the constant of proportionality for the proportional relationship between weight and cost shown in the table. Then find the cost of 10 oz of green beans. Cost of Green Beans Weight (oz) Cost($) 8 1.12 12 1.68 16 2.24 The constant of proportionality is $0.14 per ounce. The cost of 10 oz of green beans is $ VE S 4.1 More 10 Enter your answer in each of the answer boxes. Next Back of 16 Question 1 Review progress
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From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.
Answers
Given:
• AD = 3
,• DC = 27
,• BD = x + 3
Let's solve for x.
To solve for x, apply the altitude formula:
[tex]\frac{AD}{BD}=\frac{BD}{DC}[/tex]Where BD is the altitude.
Cross multiply:
[tex]BD^2=AD*DC[/tex]Plug in the values and solve for x:
[tex]\begin{gathered} (x+3)^2=3*27 \\ \\ (x+3)^2=81 \end{gathered}[/tex]Take the square root of both sides:
[tex]\begin{gathered} \sqrt{(x+3)^2}=\sqrt{81} \\ \\ x+3=9 \\ \\ \text{ Subtract 3 from both sides:} \\ x+3-3=9-3 \\ \\ x=6 \end{gathered}[/tex]Therefore, the value of x is 6 .
ANSWER:
d. 6
six times the sum of four and a number is 7. what is the number?
Answers
Step-by-step explanation:
6×(4 + x) = 7
24 + 6x = 7
6x = -17
x = -17/6 = -2.833333333... = -2 5/6
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
Answers
Answer: [tex]y < \frac{1}{3}x+2, y < -2x+2[/tex]
Step-by-step explanation:
The equations of the lines are [tex]y=\frac{1}{3}x+2[/tex] and [tex]y=2-2x[/tex].
Since the line [tex]y=\frac{1}{3}x+2[/tex] has a dotted boundary and is shaded below, it represents the inequality [tex]y < \frac{1}{3}x+2[/tex].
Since the line [tex]y=2-2x[/tex] has a dotted boundary and is shaded below, it represents the inequality [tex]y < 2-2x[/tex].
Carolyn leases a new Hyundai Elantra by paying $2600 up front and $170 a month over three years. The lease also stipulates he will be charged $0.12 per mile for every mile over 36,000. If she puts 40,693 miles on the car, what will be the total cost of the lease?
Answers
4,693 x $0.12= $563.16 (cost of the mile overage)
3 years= 36 months. (Multiply 3 x 12)
Now multiply 36 x $170 a month = $6,120.
$2,600 (up front cost) + $563.16 (cost of mile overage) + $6,120 (cost over 3 years) = $9.283.16 ( answer)
Jenny is designing a pen for a cow in the shape of a right triangle. Because of space limitation on the farm, the first side of the pen should measure 10 feet and form a right angle with the second side, which should be 14 feet long. How many feet of fencing does Jenny need to make the whole pen? Round to the nearest tenth.
Answers
Answer:
70
Step-by-step explanation:
14 x 10 is 140.
Since a triangle is just half a square, we multiply the two sides we have and then divide it.
140 ÷ 10 = 70.
Answer = 70.
P.S If it is correct, pls give Brainliest, thanks!
5 Guess my rule: X Y 1 9 IN min OUT
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1) Looking at that table, we can pick the points
(1,9) (3,23)
2) Note that every time x increases by 2 units y increases by 14
3) Considering this a linear function we can find the rule by plugging in
23-9/3-1=14/2 = 7
9=7(1)+b
9=7 +b
2 =b
So we can write the rule as y =7x+2
P(6, -3); y =1/2 x + 2
Write an equation for the line in point-slope form.
Answers
Equation for the line in point-slope form is 5x + 6y = 6.
What is point slope form?The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form.
Given Data
P(6, -3)
y =1/2 x + 2
When the equation has been solved for y, the line in slope intercept form with slope = m = 1/2 = the coefficient of the x term is represented by the equation y= (1/2)x + 2. 2 represents the y coordinate of the location (0, 2) where the line intersects the y axis as the y intercept.
So, the points are (6,-3) and (0,2)
Formula
y₂ - y₁ = m(x₂ - x₁)
slope of the line (m) = [tex]\frac{x-x}{y-y}[/tex]₁¹
m= [tex]\frac{2-(-3)}{0-6}[/tex]
m = -[tex]\frac{5}{6}[/tex]
Equation
y- (-3) = -[tex]\frac{5}{6}[/tex](x- 6)
y +5 = -[tex]\frac{5}{6}[/tex]x + 6
y + 5 = -[tex]\frac{5+36 }{6}[/tex]
6y + 30 = -5x + 36
5x + 6y = 6
Equation for the line in point-slope form is 5x + 6y = 6.
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Prime Factorization
(See attachment for more info)
Thank you.
Answers
Please answer correctly and explain how you got it please don't have but it would help.
Answers
Answer: Linear
Step-by-step explanation:
Each time [tex]x[/tex] increases by [tex]1[/tex], [tex]y[/tex] decreases by [tex]8[/tex]. Since the value of y changes at a constant rate, the relationship is linear.
Need help with a geometry problem. it is a scalene triangle with a parallel line through it which is x+1. the base is going to be 3x-2 and is parallel with x+1. on the right of x+1 there should be 12 at the top then 20 will split it . I need to solve for x
Answers
Two buses leave Dallas at the same time traveling in opposite directions. One bus travels at 59 mph and the other at 54 mph. How soon will they be 791 miles apart?
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Let t be the time, in hours, elapsed till the buses are 791 miles apart, then we can set the following equation:
[tex]59mph\cdot t+54\text{mph}\cdot t=791\text{ miles.}[/tex]Solving the above equation for t we get:
[tex]\begin{gathered} 113\text{ mph}\cdot t=791miles, \\ t=\frac{791}{113}\text{hours,} \\ t=7\text{ hours.} \end{gathered}[/tex]Answer: 7 hours.
Factor 540 into product of prime factors
Answers
Step 1
Given;
[tex]540[/tex]Required; To factor it out into products of prime factors.
Step 2
A prime factor is a factor that is a prime number. In other words: any of the prime numbers that can be multiplied to give the original number is a prime factor. Examples of prime factors are; 1,2,3,5 etc. When a composite number is written as a product of all of its prime factors, we have the prime factorization of the number.
Step 3
Find the prime factor of 540
Therefore, the prime pr
Select the reason why these triangles are similar. If they are not, select "Not similar". 88 3 2 88 B. SAS A. AA D. Not similar C. SSS
Answers
From the given figure
The 2 triangles have one equal angle of measure 88
The side of length 3 and the side of length 1 have a ratio 3: 1
The side of length 6 and the side of length 2 have a ratio 6: 2, when we divide both terms of the ratio by 1, it becomes 3: 1
That means we have one equal angle and two proportional sides
Since the angle is between the proportional sides, then
The 2 triangles are similar by the SAS postulate
Answer B
Daniyar paid his April FlashCard bill in full. His May bill shows an average daily balance of $270.31 and a monthly periodic rate of 1.65%. What is the finance charge on Daniyar's May statement?
Answers
The finance charge on Daniyar's May statement is $4.45.
What is finance charge?
The cost of consumer credit expressed as a dollar amount is the financing charge. It includes any fee imposed by the creditor as an incident to or a requirement of the credit extension that is directly or indirectly payable by the customer. It excludes any fee that would be paid in an equivalent cash transaction.
The finance charge is equal to the product of the average daily balance and the monthly periodic rate.
So,
$270.31 x 1.65%
= $270.31 x 0.0165
= $4.45
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45. Write an inequality that represents the graph. Explain it step by step please.
Answers
Answer: x < -4
Step-by-step explanation:
➜ First thing we notice is the open circle. This means we will use either < or >
➜ The next thing we notice is that the values are pointing to the left of the circle, this means we will be using <
➜ The last part we notice is that the dot is on -4. This is the value we'll use to write our inequtliy.
The last thing to do is to write the inequality using the parts we pointed out above:
x < -4