Answer:
y = 2x + 1
Step-by-step explanation:
Let the equation of the line be y = mx + c
since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)
sub (1, 3):
3 = 2(1) + c
c = 1
therefore, the equation is y = 2x + 1
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
check if given set of numbers 6,8,10 forms pythagorean triplet or not?
[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]
We know that,
Pythagoras theoram is given by : p² + b² = h²In a Pythagoras triplet, the longest side represents the hypotenuse of the triangle.Then,
We should check that, whether the sum of squares of the smaller sides will be equal to the square of the third side or not. Then, we can determine the above easily.
Sum of squares of smaller sides:
= 6² + 8²
= 36 + 64
= 100
Square of longer side:
= 10²
= 100
Sum of squares of smaller sides = Square of longer side. Hence, 6,8,10 are Pythagorean triplets.
And we are done! :D
⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]
Steve has 8 biscuits in a tin. There are 5 digestive and 3 chocolate biscuits. Steve takes two biscuits at random from the tin. Work out the probability that he chooses two different types of biscuits.
Probability that he chooses two different types of biscuits is 53.65 %.
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
Given
Total biscuits, n = 8
Digestive biscuits = 5
Chocolate biscuits = 3
There are two patterns to chose two different biscuits; a digestive then a chocolate or a chocolate and then a digestive.
∴ The probability of choosing a digestive then a chocolate
= [tex]\frac{5}{8}\times\frac{3}{7}[/tex]
= [tex]\frac{15}{56}[/tex]
= 0.267
The probability of choosing chocolate and then a digestive.
= [tex]\frac{3}{8} \times\frac{5}{7}[/tex]
= [tex]\frac{15}{56}[/tex]
= 0.267
Hence, The combined probability
= [tex]\frac{15}{56}+ \frac{15}{56}[/tex]
= [tex]0.536[/tex]
= 53.6 5 %
Probability that he chooses two different types of biscuits is 53.65 %.
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3. LOOK FOR THE KEY WORD!
A music recording company recently released 49 nd Ds. Of
the new CDs, 2/7 are by country artist. How many
country CDs were released by the music company?
A. 14 CDs
C. 63 CDs
B. 35 CDs
D. 18 CDS
А
B
OD
Answer:
A. 14 CDs
Step-by-step explanation:
Divide by 7 to get the unit rate, then multiply by 2 to get your answer
3. + (-2) + (-24 )
Please help this question is worth a lot of points ( math question) help please:)
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{ - 26}}}}[/tex]
☄ Question : Simplify[tex] \sf{ + ( - 2) + ( - 24)}[/tex]☄ Step - by - step explanation : [tex] \sf{ + ( - 2) + ( - 24)}[/tex]Remember : [tex] \sf{( + ) \times ( - ) = ( - )} [/tex]
[tex] \dashrightarrow{ \sf{ - 2 - 24}}[/tex]
Remember : The negative integers are always added but posses the negative ( - ) sign.
[tex] \dashrightarrow{ \boxed{ \sf{ - 26}}}[/tex]
--------------------------------------------------------------
† Remember :✒ Sign rules of addition and subtraction of integers :
The positive integers are always added but posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.✒ Sign rules of multiplication and division :
[tex] \sf{( + ) \times ( + ) = ( + )}[/tex][tex] \sf{( + ) \times ( - ) = ( - )}[/tex][tex] \sf{( - ) \times ( + ) = ( - ) }[/tex][tex] \sf{( - ) \times ( - ) = ( + ) }[/tex]▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Hope I helped!
Have a wonderful time ! ツ
i need help to solve this please
Answer:
hahahaha qiau181e81 8qy28e82
Find the value of x that will make A||B.
5x + 9
A
D
B
3x + 11
Answer:
x = 20
Step-by-step explanation:
5x + 9 + 3x + 11 = 180
Combine like terms
8x + 20 = 180
Subtract 20 from both sides
8x = 160
Divide both sides by 8
x = 20
. Bella makes $7.50 an hour working at her job at the movie theater. If she worked 12 hours last week and 15.5 hours the week before, how much did she make total for the two weeks? (3pts – 1pt each for setting up equation, correct answer, correct label)
A pure green beetle is crossed with a pure brown beetle. All of the offspring are green. Which explanation below, correctly explains this phenomenon?
A.Green and brown are equally expressed so they are both dominant.
B.Green is more common than brown so more green genes are passed on.
C.The gene for green color is dominant over the gene for brown color.
D.The gene for brown color is dominant over the gene for green color.
Answer:
C.
The green color gene is more dominant over the gene for brown color.
Step-by-step explanation:
Whichever gene is dominant is the one that will be applied to the organism.
Simplify 1/3(6x+3) -4(3x-2)
Answer: -10x+9
Step-by-step explanation:
10-3x=16 solving two-step equations
Answer:
x = -2
Step-by-step explanation:
10 - 3x = 16
-3x = 16 - 10
-3x = 6
x = 6/-3
x = -2
5, 18, 6, 18, 13 WHATS THE INTERQUARTILE RANGE??
Answer: 12.5
Step-by-step explanation:
25th Percentile: 5.5
50th Percentile: 13
75th Percentile: 18
Interquartile Range: 12.5
the radius of the small circle is 0.5 millimeters the area of the large circle is 28.26 squared millimeters calculate the area of the state of region
There is a typo in the question. Where it reads 'state of' should read 'shaded'
Answer:
[tex]A=27.47\ mm^2[/tex]
Step-by-step explanation:
Area of a Circle
Given a circle of radius r, its area can be calculated as follows:
[tex]A=\pi r^2[/tex]
The area of the shaded region can be found by subtracting the area of the large circle minus the area of the small circle.
We already know the area of the large circle:
[tex]A_l=28.26\ mm^2[/tex]
Now we calculate the area of the small circle of radius r=0.5 mm:
[tex]A_s=\pi\cdot 0.5^2[/tex]
Calculating:
[tex]A_s=0.79\ mm^2[/tex]
The area of the shaded region is:
[tex]A=A_l-A_s=28.26\ mm^2-0.79\ mm^2[/tex]
[tex]\mathbf{A=27.47\ mm^2}[/tex]
How many groups of 3/4's are in 9
Answer:
3
The three regions of Latin America are:
Answer:
12
Step-by-step explanation:
All you have to do is divide 3/4 into 9
when dividing fractions you do the process (kcf) keep change flip
you keep the first fraction change the division sign to multiplication then flip your 2nd fraction
9/1 divided by 3/4
keep the first fraction
change the division to multiplication
flip the 2nd fraction which is 3/4 flip it and make it 4/3
now you multiply 9/1 * 4/3
9 times 4 is 36
1 times 3 is 3
36/3 is an improper fraction so you can change it to a whole number because 36 divided by 3 is 12.
Maya estimates that the wait time for her favorite roller coaster is 35 minutes. The actual wait time is 55.5 minutes. What is the percent error of Maya's estimate? Round the percent to the nearest tenth if necessary.
Answer:
36.9%
Step-by-step explanation:
The formula for Percent Error =
[|Approximate value - Actual value|/ Actual value ] × 100
Approximate value = 35 minutes
Actual value = 55.5 minutes
Percent Error =[ |35 - 55.5|/55.5] × 100
Percent Error = |-20.5|/55.5 × 100
Percent Error = 20.5/55.5 × 100
Percent Error = 36.936936937%
Approximately to the nearest tenth = 36.9%
Andrea ordered a computer on the Internet. The computer cost $1399 plus 6 1/2% sales tax. What was the total amount Andrea paid for her computer?
Answer:
$1,489.94
Step-by-step explanation:
Answer:
1,489.94
Step-by-step explanation:
6.5% = 0.065
1399x 0.065= 90.935
1399 + 90.935 = 1,489.94
Which table represents this function?
y=5x-2
A.
x y
1 4
2 5
3 6
4 7
B.
x y
1 3
2 6
3 9
4 12
C.
x y
1 3
2 5
3 7
4 9
D.
x y
1 3
2 8
3 13
4 18
Answer:
D.
Step-by-step explanation:
Miguel drives 220 meters up a hill that makes an angle of 4o with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? Only round your answer once.
Answer:
168.5 meters is the horizontal distance covered
Step-by-step explanation:
Here, we simply want to calculate the value of the horizontal distance traveled
This is same as calculating the horizontal component
What we have here will be a right-angled triangle with 220 as the hypotenuse and the horizontal distance as the adjacent
So we make use of cos
cos 40 = x/220
x = 220 cos 40
x = 168.53 meters
To the nearest tenth, this is 168.5 meters
What is the least number of congruency statements needed to be stated in a triangle congruency proof to prove triangles are congruent?
really not sure what the answer is
Answer:
3
Step-by-step explanation:
The answer should be 3? Geometry.
FRQ 1
Amusement parks sell day passes and season passes. A day pass to Fun World costs $41 and provides admittance to the amusement park for one day. A season pass to Fun World costs $100 and provides unlimited admittance to the amusement park all season.
The manager of Fun World would likely be able to understand how frequently patrons visit the park. At the end of the season he selects two separate random samples: one of 30 patrons that did not buy a season pass and one of 30 patrons that did buy a season pass. The parallel boxplots show the distribution of number of visits per patron for the most recent season for these two samples.
A) Write a few sentences comparing the distributions of number of visits for the sample of patrons that did and did not buy a season pass.
B) The mean number of visits per patron among those that did not buy a season pass is 1.7 visits per patron. The mean number of visits per patron among those that did buy a season pass is 2.967 visits per patron. Are these values parameters or statistics? Explain.
C) The number of visits for the 30 patrons that bought season passes are:
1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 7 9 10
What proportion of these patrons would have paid less if they bought day passes rather than a season pass? Explain.
Answer:
a) The number of visits between the patrons who buys the season passes shows higher frequency than those who did not buy season passes, in general. However, the minimum value of 1 visit is present for both cases.
b) The mean visits of the patrons are just PARAMETERS. If you want to test your hypothesis using hypothesis testing, the statistics are the z or t scores comparing the parameters (means).
c) The proportion who would have paid less are those with 2 or fewer visits because they would only just paid $82 instead of $100.
Number of patrons with 2 or fewer visits: 16
Total number of patrons who bought season passes: 30
Proportion who would've paid less = 16/30 = 0.5333
Step-by-step explanation:
I just did it
We can briefly describe the distribution represented by the boxplot thus :
Minimum visit for those who purchased season ticket and those who didn't is the same with a value of 1. Maximum visit for those who purchased season ticket is 7 ; while the maximum visit for those who didn't is 3Both distributions have two outlier values each.B.)
The mean values for the number of visits per patron are statistic. This is because the mean values are derived from a sample. Statistical values derived from the population are called parameters.C.)
Day pass = $41
Season pass = $100
In other to pay less by purchasing a day pass :
Number of visits must be ≤ 2This means total amount paid = $(41 × 2) = $82
Number of patrons who had ≤ 2 visits = 16
Total Number of patrons = 30
Proportion who would have paid less :
Number of patrons who had ≤ 2 visits ÷ Total Number of patrons16 ÷ 30 = 0.533Therefore, the proportion of patrons who would have paid less is 0.533.
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Willy Wonka has x chocolate bars in his factory. He gives one third of the chocolate bars to Charlie, and eats one half of the remaining chocolate bars. If he is left with 90 chocolate bars in the factory, what is the value of x?
Answer: The value of x= 270
Step-by-step explanation:
Given: Willy Wonka has x chocolate bars in his factory.
Chocolates he gave = [tex]\dfrac13 x[/tex]
Remaining chocolates = [tex]x-\dfrac{x}{3}=\dfrac{2x}{3}[/tex]
Half of the remaining chocolate bars = [tex]\dfrac12\times\dfrac{2x}{3}=\dfrac{x}{3}[/tex]
Now , Chocolate left [tex]x-\dfrac{x}{3}-\dfrac{x}{3}=\dfrac{3x-2x}{3}=\dfrac{x}{3}[/tex]
As per given , [tex]\dfrac x3=90[/tex]
[tex]\Rightarrow\ x=90\times3=270[/tex]
Hence, the value of x= 270
A chef uses 2 tablespoons of olive oil for every 3 tablespoons of butter. How much olive oil is needed for each tablespoon of butter?
Answer: 2/3
Step-by-step explanation: You take the 2 and divided it by 3 but your going to get a long decimal so you can put it into a fraction of 2/3
Answer:
2/3
Step-by-step explanation:
2 divided by 3
How many solutions does this equation have?
-4 + 19 - 7f = -15 - 7f
no solution
one solution
infinitely many solutions
Answer:
No solution
Explanation:
-4+19-7f = -15-7
cancel terms on both sides ( add 7f on both sides)
Calculate the sum
-4+19= -15
-4+19=15
15 = -15
The statement 15 = -15 is false so there is no solution :)
Educators in Michigan have been trying to raising math achievement scores for several years without success. Results from the state assessment test given in fourth grade show that 52% of all fourth graders cannot subtract when borrowing from zero (regrouping with zero in the subtrahend). Two new techniques for teaching this concept have been developed by teachers who belong to the Michigan Council of Teachers of Mathematics. It is decided that each technique be used in randomly selected classrooms throughout the state. Sixty third-grade classrooms are selected to try each of the techniques. Results from the state assessment test will then be monitored for each of the next two years to see whether either of the two techniques will be effective in teaching subtraction from zero. Sixty-three percent of the students who were taught with first technique passed the objective. Only 32% of students who were taught with the second technique passed the objective.
1. The population is:______.
A. All fourth graders in Michigan.
B. All third graders in Michigan.
C. The students who were in the 60 third-grade classrooms that used each technique.
D. All students in fourth grade who were taught with one of the techniques.
2. The sample is:______.
A. All fourth graders in Michigan.
B. All third graders in Michigan.
C. The students who were in the 60 third-grade classrooms that used each technique.
D. All students in fourth grade who were taught with one of the techniques.
3. An example of a parameter in the study is:______.
A. 63% of the students taught using technique 1 achieved the objective of subtracting from zero.
B. 32% of the students taught using technique 2 passed the state objective test.
C. 52% of all fourth graders in Michigan cannot subtract from zero.
D. 52% of all fourth graders in Michigan cannot pass the fourth-grade mathematics state assessment test.
4. An example of a statistic in the study is:_______.
a. 63% of the students taught using technique 1 achieved the objective of subtracting from zero.
b. 32% of the students taught using technique 2 passed the state objective test.
c. 52% of all fourth graders in Michigan cannot subtract from zero.
d. both a & b.
e. all of the above.
5. The dependent variable is the:______.
A. Results from the fourth-grade state assessment test in mathematics state assessment.
B. Instruction in math in third grade.
C. Two new techniques for teaching subtraction from zero.
D. Percentage of children who passed the objective subtraction from zero.
6. The independent variable is the:______.
A. Results from the fourth-grade state assessment test in mathematics state assessment.
B. Instruction in math in third grade.
C. Two new techniques for teaching subtraction from zero.
D. Percentage of children who passed the objective subtraction from zero.
Answer:
1. A. All fourth graders in Michigan.
2. C. The students who were in the 60 third-grade classrooms that used each technique.
3. C. 52% of all fourth graders in Michigan cannot subtract from zero.
4. d. both a & b.
5. D. Percentage of children who passed the objective subtraction from zero.
6. C. Two new techniques for teaching subtraction from zero.
Step-by-step explanation:
1. We can make this conclusion since an assessment test often comes after students undergo the required lessons (that is using taught the new techniques, so when they entered the fourth grade the assessment would be taken to determine their performance. Hence, the population of the study is the entire fourth-graders in Michigan.
2. The sample includes only students who made up the "60 third-grade classrooms that used each technique". In other words, they were the subject of the study.
3. Remember, a parameter often refers to numbers that summarize the entire data of a particular population. So we could say, that 52% of all fourth graders in Michigan that cannot subtract from zero make up the parameter.
4. A statistic is usually any resulting values gotten from a sample. Hence, both statements a and b are statistics from the sample.
5. Remember, the dependent variable is a variable that can be influenced by another variable; the independent variable. In other words, the percentage of children who passed the objective subtraction from zero could be affected by the independent variable.
6. The independent variable is the variable that could influence the dependent variable. In other words, the two new techniques for teaching subtraction from zero could influence "the percentage of children who passed the objective subtraction from zero."
can someone please help im lost
Answer:
-146
Step-by-step explanation:
Step-by-step explanation:
putting the value f(-9) in expression
= -(-9)^2-7×(-9)-2
= 81+63-2
=142
Please help me!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer
Answer:
[tex]m=-\frac{3}{2}[/tex]
Step-by-step explanation:
First, look at the graph and pick out two points that we can use for the slope equation. I see (0,2) and (-2,5) as two possibilities. Now, we just plug them into the slope equation. Remember that the slope equation is
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
(the '2' and '1' are subscripts, not exponents)
Let's call our first point (0,2) x1 and y1. (-2,5) can be the second point.
If we plug this into the equation:
[tex]m=\frac{5-2}{-2-0}[/tex]
Now we just simplify and get
[tex]m=\frac{3}{-2}[/tex]
Our slope is [tex]-\frac{3}{2}[/tex].
I hope this helps!
PLease answer the slope
!!!!!!!!!!!!!!!!!!!
a slope
5 and passes through the point (3, -7)
Answer:
y = 5x - 22 is the answery - intercept is -22.Step-by-step explanation:
Given:Slope: 5
Point: (3, -7)
Unknown:Equation = ? = y = mx + b
y - intercept = ?
Step 1. Input the coordinates into the equation of y = mx + b.
y = 5x + b
y-coordinate = -7
x-coordinate = 3
-7 = 5(3)+b
Step 2. Solve for b.
-7 = 15 + b
-15 -15
b = -33
Step 3. Make the y equation.
y = mx + b
mx = 5x
b = -22
y = 5x - 22
y = 5x - 22 is the answery - intercept is -22.Hope it helped,
Kavitha Banarjee
What is the circumference if we use 3.14
for pi?
Answer:
50.24m
Step-by-step explanation:
3.14 x 16 = 50.24
(4x+8)+(2x+20)=90 help me solve this and draw a diagram
Answer:
x = 31/3
Step-by-step explanation:
4x+8+2x+20=90
4x+2x+8+20=90
4x+2x+8+20=90
6x+28=90
6x+28-28=90-28
6x=62
x = 31/3
represent the following sentence as an algebraic expression , where '' a number '' is the letter x . you do not need to simplify
7 lesss than the product of 5 and a number
Answer:
5x-7
Step-by-step explanation:
5x-7
Product=multiply so 5x and less than is minus so 5x-7.
Hope this helps :D