Step 3: Alternate interior angles theorem
Step 5: SAS
Solve using the addition principle. 3y - 11 ≤ 2y - 2
Answer:
y ≤ 9
Step-by-step explanation:
3y - 11 ≤ 2y - 2
Subtract 2y from each side
3y-2y - 11 ≤ 2y-2y - 2
y - 11 ≤ - 2
Add 11 to each side
y - 11+11 ≤ - 2+11
y ≤ 9
Answer:
\(y \leqslant 9\)
Step-by-step explanation:
\(3y - 11 \leqslant 2y - 2 \\ 3y - 2y \leqslant 11 - 2 \\ y \leqslant 9\)
I NEED HELP PLEASE, THANKSSS! :)
Answer: A) max at (14, 6) = 64, min at (0,0) = 0
Step-by-step explanation:
Graph the lines at look for the points of intersection.
Input those points into the Constraint function (2x + 6y) and look for the maximum value and minimum value.
Points of Intersection: (0, 0), (17, 0), (0, 10), (14, 6)
Point Constraint 2x + 6y
(0, 0): 2(0) + 6(0) = 0 Minimum
(17, 0): 2(17) + 6(0) = 34
(0, 10): 2(0) + 6(10) = 60
(14, 6): 2(14) + 6(6) = 64 Maximum
100 Points! Algebra question. Photo attached. Thank you!
The population mean weight of the packages is 6.74 pounds and the population proportion of packages that weigh less than 5 pounds is approximately 0.301.
To calculate the population mean, we need to multiply each weight value by its corresponding frequency (number of packages), sum up these products, and divide by the total number of packages.
Population mean = Sum of (Weight × Packages) / Total number of packages
Population mean = 1967.5 / 292
Population mean = 6.74 pounds
To find the population proportion of packages that weigh less than 5 pounds, we need to sum up the frequencies (packages) of weights less than 5 pounds and divide it by the total number of packages.
Packages with weight less than 5 pounds: 5 + 16 + 28 + 22 + 17 = 88
Population proportion = Packages with weight less than 5 pounds / Total number of packages
Population proportion = 88 / 292
Population proportion = 0.301
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Find the first two equations that are needed to solve the following story problem: How many milliliters of a 5% acid solution and how many milliliters of a 17% acid solution must be mixed to obtain 60 mL of a 13% acid solution?
Answer:
Step-by-step explanation:
saw it on chegg
.05x+.17y=.13
x+y=60
The two correct equations are "\(0.05 x+0.17 y=0.13\) and \(x+y=60\)". A further solution is provided below.
According to the question,
Let,
Quantity of 5% acid solution will be "x".Quantity of 17% acid solution will be "y".Given total acid solution,
= 60 mL
then,
→ \(x+y = 60\)...(equation 1)
We know that the concentration of mixture = 13%
hence,
→ \(5 \ percent \ of \ x + 17 \ percent \ of \ y =13 \ percent (x+y)\)
or,
→ \(0.05x+0.17y=0.13(60)\)
Thus the above answer is correct.
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An architect’s blueprint for a new house shows the kitchen being 7 inches wide. If the scale used to create the blueprint is 0.5 in. = 1 ft, what is the actual width of the kitchen?
Sally wants to make a chocolate crunchy cake.
The recipe uses 16 biscuits and 22 squares of chocolate.
13
Sally wants to make her cake with 24 biscuits.
How many squares of chocolate will she need?
Answer:
33 squares of chocolate need
Answer:
33 Biscuits
Step-by-step explanation:
Uni method
How much biscuits do we need for 1 square of chocolate?
22/16 = 1.3
For 1 square of chocolate she needs 1.3 Biscuits.
So for 24 biscuits,
24 * 1.3
=33 biscuits
Shen bought a desk on sale for $218.40. This price was 72% less than the original price. What was the original price?
Answer:
780
Step-by-step explanation:
In this example we will call Original Price = y
72%=0.72
218.40=0.72*y
1-0.72=0.28
218.4÷0.28=780
Please help me figure this out
Answer:
A ≈ 5568.2 cm²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
here the diameter = 84.2 , then r = 84.2 ÷ 2 = 42.1 , then
A = π × 42.1² = π × 1772.41 ≈ 5568.2 cm² ( to 1 decimal place )
Please see my question in the attachment, thanks!
The limit of the function As x → - ∞, f(x) → 2.
What is the limit of a function?The limit of a function is the value the function tends to as the independent variable tends to a given value.
Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows
Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.
So, As x → - ∞, f(x) → 2.
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Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is
%.
The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.
To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.
First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.
Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.
The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.
(3/10) * 100 = 0.3 * 100 = 30%
Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.
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y = −2x + 3
8x + 4y = 12
Answer:
y = 6x
x = 6x
Step-by-step explanation:
To solve this system of equations, we can first rewrite the equations in standard form, where the left-hand side of the equation is equal to zero. To do this, we can subtract the constants 3 and 12 from both sides of the equations, respectively. This gives us the equations:
Y = -2x
8x + 4y = 0
To solve this system, we can use the elimination method, which involves multiplying one or both equations by constants to eliminate one of the variables. Let's multiply the first equation by 4 and the second equation by -2:
4Y = -8x
-16x - 8y = 0
Now we can add the two equations together to eliminate the x-variable:
-16x - 8y = 0
4Y = -8x
Adding these two equations gives us:
-8y + 4Y = -8x - (-16x)
-8y + 4Y = -24x
Next, we can simplify the left-hand side of the equation by combining like terms:
(-8y + 4Y) = -24x
-4y = -24x
Finally, we can divide both sides of the equation by -4 to solve for the y-variable:
y = 6x
Thus, the solution to this system of equations is x = 6x.
Tell me if this helped :)
Question 6 of 10
62
A
59°
59
Triangle A
Triangle B
Given the triangles above, what is the measure, in degrees, of angler?
The equation x^3-6x=72 has a solution between 4 and 5. Use a trial and improvement method to find this solution. Give your answer correct to 1 decimal place. You must show all your working. On the same line as your final answer you must write ‘to 1 decimal place’
Answer:
4.6
Step-by-step explanation:
x³-6x=72
x³-6x-72=0 .... a solution between 4 and 5
x=4 x³-6x-72= 64-24-72 = -32
x=5 x³-6x-72= 125-30-72 = 23
we have to find an x value that makes x³-6x-72 --> 0
see the attachment, we can find the 0 value of x is between 4.63 and 4.64
‘to 1 decimal place’ of the solution is: 4.6 (4.63 is too small and 4.64 is too big)
Graph the function. f(x)=3/5x-5
You have a bag of 10 marbles. Three of them are red, five are blue, and two are green. What is the probability of NOT picking a green marble out of the bag randomly?
Answer:
hey there
The answer is 7/10
this is true because we have two green marbles and five blue
2+5=7
Step-by-step explanation:
Answer:
20% or 2/10
Step-by-step explanation:
10 marbles in total. We want to find the probability of not picking a green marble. 10marbles-3red-5blue=2marbles left.
So the probability of picking a green marble is 2/10 or 20%
What is -2 2/3 divide by -1/2
Answer:
16/3
Step-by-step explanation:
Answer:
5 1/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
−8/3 ÷ −1/2
Applying the fractions formula for division,
=−8×2/3×−1
=−16/−3
Simplifying -16/-3, the answer is
=5 1/3
A group of 11 students have a mean average spelling test score of 7. Another student had a score of 8. What is the mean score of all twelve children?
Answer:
7.083
Step-by-step explanation:
A boardwalk game of chance costs $1 to play. You have a 25% chance of winning $1 back, a 20% chance of winning $2
(your $1 back, plus an additional $1), and a 10% chance to win $5 (a gain of $4). What is the expected value of playing
the game if you lose your bet 45% of the time?
A. -$1.00
B. -$0.25
C.-$0.15
D. $0.15
Answer:
the answer is c
Step-by-step explanation:
You are traveling in a car. Your speed is 50 miles per hour. What is your speed in feet per minute?
Answer:
4399.98 ft per min
Step-by-step explanation:
Divide 50 mi by 60 min = 0.83333Multiply this by 5280 = 4399.9824 ft per minHow do I convert 12mi/hr = ? Ft/hr
The grade 10 class is going to bake muffins. The recipe that they are going to use requires the following ingredients: RECIPE ✓2 Egga ✔125ml Cooking oll ✓375ml brown sugar (300g) ✓800ml Milk ✓300g Whole wheat flour ✓ 375ml cake flour (210g) ✓5ml Salt ✓ 5ml Vanilla Essence ✓ 10ml Bicarbonate of soda ✓ 250ml Raisins (150g) 2.1 The volume of 150g of Whole wheat is 250ml. Calculate the volume of the Whole wheat flour in the recipe 2.2 When they are all mixed together, all the above ingredients make up 2 litres of mixture (because some parts dissolve into other parts). 2.2.1 Convert 2 litres into ml 2.2.2 How many muffins can the above recipe make if 60ml is required for each muffin? 2.2.3 Using your answer to question 2.2.2, how many eggs will the girls need to buy to make 500 muffins? 2.3 The students need to make 500 muffins, using muffin trays that hold 6 muffins par tray. They plan to put 4 trays at a time into the ovens. Each oven takes 30 minutes to bake. How long will they take to make 500 muffins if they will be using 4 ovens?
The conversion of 2 liters into millimeters from the information regarding the muffins is 2000ml.
How to convert?From the information, we are told to convert 2 litres into ml. This will be:
= 1000 × 2
= 2000ml
The number of eggs that will be bought to make 500 muffins will be:
= 500 × 2
= 1000 eggs.
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what is the answer to this inequality -X+5<-1/3+17=?
Add the numbers: 3+17 = 20
-x + 5 < -1/20
Apply the fraction rule: -a/b = - a/b
-x + 5 < - 1/20
Subtract 5 from both sides
-x + 5 - 5 < 1/20 - 5
Simplify
-x< - 101/20
Multiply both sides by -1 (reverse the inequality)
(-x) (-1) > (-101/20) (-1)
x> 101/20 is the final answer
Construct parametric equations describing the graph of the following equation.-x =ЗуIf y = 1 + 2, find the parametric equation for x.
Explanation
To solve the given parametric equation
First, we are given the given equation:
\(x=\frac{1}{3y}\)
And then
\(y=t+2\)The first step will be to substitute y =t+2 into the equation
\(x=\frac{1}{3(t+2)}\)Simplifying further, we will have
\(x=\frac{1}{3t+6}\)\(x=\frac{1}{3t+6}\)The parametric equation of x is
\(x=\frac{1}{3t+6}\)The graph is given as
Bob dio cuatro quintos de sus lapices a barbara, luego dio dos tercios de los lapices restantes a bonnie, si termino con 10 lapices para el... ¿ cuantos lapices tenia bob al principio?
Bob had 50 pencils in the beginning.
How is a fractional number expressed?A fractional number is expressed in the form -
x/y {where y ≠ 0)
Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.
Assume that he had {x} pencils in the beginning. We can write -
4x/5 + 2/3(x - 4x/5) = 10
4x/5 + 2x/3 - 8x/15 = 10
x(4/5 + 2/3 - 8/15) = 10
x = 10/0.93
x = 50
Therefore, Bob had 50 pencils in the beginning.
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{QUESTION IN ENGLISH -
Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
HELP MEEEEE
Write the equation for each translation of the graph y=|1/2x-2|+3
one unit to the right
A square playground has an area of 10,000 ft? What is the side length of the
playground? Show your work.
SOLUTION
Below are five questions from a survey of MBA students. Answers were written in the blank at the left of each question. For each question, state the data type (categorical, discrete numerical, or continuous numerical) and measurement level (nominal, ordinal, interval, ratio). Explain your reasoning. If there is doubt, discuss the alternatives. _____ Q11 What is the age of the car you usually drive
Complete question :
Q11. What is the age of the car you usually drive? (years).
Q12.) About how many times in the past year did you attend formal religious services?
Q13.) How often do you read a daily newspaper? (0 = Never, I = Occasionally, 2 – Regularly).
Q14.) Can you conduct simple transactions in a language other than English? (0 = No. 1 = Yes).
Q15. How often do you exercise (aerobics, running, etc)? (0 = Not at All. 1 Sometimes. 2 = Regularly)
Answer:
Continous, ratio
Discrete, Ratio
Categorical, ordinal
Categorical, nominal
Categorical, ordinal
Step-by-step explanation:
Continous variables usually do have an infute number of values inbetween consecutive integers while discrete numeric variables take up whole number values and has a finite number of values. The
Categorical variables are used for Qualitative variables which takes up labels rather than numeric values.
The measurement scales include ;
Ratio scale used for quantitative variables with a true zero value (that is 0, means there is no value for the variable at that point, on a ratio scale with height variable = 0 then there is no height for the measured point). it allows for mathematical calculation of data values as it has a fixed distance between point.
The interval scale is similar ot the ratio aside that it does not have a true zero value, the zero point only serves as a reference point.
The nominal scale, when numbers are used to depict Qualitative variables, such that there is no rank or order in the label. If labels are 0 and 1 for each options, then one label is not superior or inferior to the other
Ordinal variables on the other hand have a particular order or rank for the Qualitative data represented with numerical values :
Here : for a scale of 1 - 5 ; the magnitude increases from 1 through 5
1. continuous numerical, ratio
2. discrete numerical, ratio
3. categorical, ordinal or interval
4. categorical, nominal
5. categorical, ordinal or interval
just did the question! hope future students are helped
Which choice shows the following fractions with a common denominator? 3/4 and 5/6
Answer:
9/12 and 10/12
Step-by-step explanation:
The LCD is the smallest number divisible by both 4 and 6, and that is 12.
Thus, 3/4 and 5/6 are equivalent to 9/12 and 10/12 .
Next time, kindly share the answer choices. Thank you.
Using ax^2 + bx + c = 0 factor 25x^2 = 49 into two linear factors
\(\huge\text{Hey there!}\)
\(\mathsf{25x^2=49}\)
\(\textsf{DIVIDE by 25 to BOTH SIDES}\)
\(\mathsf{\dfrac{25x^2}{25}=\dfrac{49}{25}}\)
\(\textsf{Cancel out: }\mathsf{\dfrac{25}{25}}\textsf{ because it gives you 1}\)
\(\textsf{Keep: }\mathsf{\dfrac{49}{25}}\textsf{ because it helps us solve for x}\)
\(\textsf{New equation: }\mathsf{x^2 = \dfrac{49}{25}}\)
\(\textsf{TAKE the SQUARE ROOT}\)
\(\mathsf{x\pm \sqrt{\dfrac{49}{25}}}\)
\(\mathsf{\sqrt{\dfrac{49}{25}}= 1.4}\)
\(\mathsf{- \sqrt{\dfrac{49}{25}}= -1.4}\)
\(\boxed{\boxed{\large\text{Answer: \huge \bf x = 1.4 or x = -1.4}}}\huge\checkmark\)
\(\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)