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Question 6
Two parallel lines are cut by a transversal, as shown below.
x + 40
3x
What is the solution when solved for x, and why?
Answers
Answer: (D) x=20
I know this because i took the test and got the answer right....amen
Related Questions
In a city the ratio of people who live in flats to the number that live in terraced houses is 3:2. The ratio of people who live in detached houses to terraced houses is 1:4. What is the ratio of people that live in flats:terraced houses:detached houses in its simplest form?
Answers
Answer:
1/2
Step-by-step explanation:
Answer:
8:12:3
Step-by-step explanation:
Flats:Terraced is 2:3
Detached:Terraced is 1:4
First make the Terraced the same.
Flats:Terraced is 8:12
Detached:Terraced is 3:12
Terraced:Detached is 12:3
Now that we know, we can combine it.
Flats:Terraced:Detached is 8:12:3
Hope this helps :D
PLZ HELP
how long will it take 6 workers to complete a task, given that 4 workers can complete the same task in 12 days?
Answers
Answer:
I think 14 days
Step-by-step explanation:
If 4 workers can do the task in 12 days then I should be able to complete the task in 4 time's 12 days. 6 workers should be able to complete the task in 4 times 12 divided 6.
The midpoint of AB is M (-1, -5). If the coordinates of A are (3, -8), what are the coordinates of B?
Answers
Answer:
coordinates of point B are (-5, -2)
Step-by-step explanation:
Recall that the midpoint of the segment that joins (x1, y1) with (x2, y2) is given by:
( (x1 + x2)/2 , (y1+y2)/2)
Therefore, given the information about the midpoint being (-1, -5) and A being (3, -8) we get:
For the x value (x2) of point B:
-1 = (3 + x2) / 2 then -2 = 3 + x2 and finally solving for x2; x2 = -2 - 3 = -5
For the y value (y2) of point B:
- 5 = (-8 + y2) / 2 then -10 = - 8 + y2 and finally y2 = -10 + 8 = - 2
Then point B has the coordinates: (-5, -2)
what are all of the ratios that are equivalent to 1/2
Answers
Answer:
there are infinte number of ratios that are equivaent to 1/2
Step-by-step explanation:
2/4, 3/6, 4/8, 5/10, 6/12 ...
Answer:
2/4, 3/6, 4/8, 5/10, 6/12
Step-by-step explanation:
Just multiply the denominator and numerator!!
For example:
1/2 =2/4
1x2=2
2x2=4
In 1998, Hurricane Bonnie approached the United States at a speed of 8 miles per hour. The function y = 8x describes how many miles y Hurricane Bonnie traveled x hours. Use the graph to estimate how far the hurricane traveled in 2.5 hours.
Answers
Answer:
20 miles
Step-by-step explanation:
Given the equation of the line of the graph, y = 8x, where,
y = distance the hurricane travelled in miles
x = time of travel in hours
8 = slope/speed in miles/hour
To find how far the hurricane travelled in 2.5 hours, substitute x = 2.5 into y = 8x
This:
y = 8(2.5)
y = 20 miles
Thus, from the graph, we can estimate this also. On the x-axis, between 2 and 3, we have 2.5 hours. The corresponding value of x = 2.5 is y = 20.
What’s the average of the following set of numbers ( 7,5,4,9)
Answers
Answer:
[tex]6.25[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Observations\ in\ the\ Set=(7,5,4,9)\\ As\ we\ know\ that,\\ Average\ or\ interchangeably\ mean=\frac{Total\ Sum\ of\ observations }{Total\ no.\ of\ observations} \\Here,\\Total\ sum\ of\ the\ observations=7+5+4+9=25\\Total\ number\ of\ observations=4\\Hence\ here,\\Mean/Average=\frac{25}{4}=6.25[/tex]
please help!
f(x)=x^2. What is g(x)
Answers
Answer:
D
Step-by-step explanation:
The standard form for a parabola is ax^2+bx+c. In this equation, b=0 and c=0. For g(x), you would plug in your y-value that was given (which is 4) and you would plug in your x-value that that given (which is 1). Use PEMDAS. The correct answer is the one that is true.
A. g(x) = (4x)^2
4 = (4(1))^2
4 = 16. (not true)
B. g(x) = 1/4 x^2
4 = 1/4 (1)^2
4 = 1/4 (not true)
C. g(x) = 16x^2
4 = 16(1)^2
4 = 16 (not true)
D. g(x) = 4x^2
4 = 4(1)^2
4 = 4. (true --> correct answer)
a mail courtier charges a base fee of $6.95 plus $9.50 per package being delievered. If x represents the number of packages delievered, which of the following equations could be used to find y, the total cost of mailing packages?
Answers
Step-by-step explanation:
In this function, the part that represents the fixed fee is the "5.75", this part is called interception or origin, which is a value that stays the same regardless of the number of pounds. Unlike the "4.99X" part, which is going to change depending on the number of pounds. The "5.75" part is never changing, it's a value that always will be charged to the payment.
3. (04.04 MC)
Part A: A graph passes through the points (0, 2), (1, 3), and (2, 4). Does this graph represent a linear function or a non-linear function? Explain your answer in words
Part B: Write one example of a linear function and one example of a non-linear function.. (Use x and y as the variables) (10 points)
Answers
Answer:
Part A:
The graph passes through (0,2) (1,3) (2,4).
If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points. Using (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2
Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.
Since the slope is constant (the same) everywhere, the function is linear.
Part B:
A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.
An example is y=2x-3
A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3
A non-linear function contains at least one of the following,
*Product of x and y
*Trigonometric function
*Exponential functions
*Logarithmic functions
*A degree which is not equal to 1 or 0.
An example is...xy= 1 or y= sqrt. x
An example of a linear function is 1/3x = y - 3
An example of a non-linear function is y= 2/3x
Order the following integers from least to greatest:
-25, -41, 36, –38, 28 and 16
Answers
Answer:
-41, -38, -25, 16, 28, 36
Step-by-step explanation:
Find the average price of homes in the county you selected and use that as population mean prices to state a hypothesis about the data. Note that you already have a sample mean of your area, Use this to set up a hypothesis test. Develop a summary of the five-step hypothesis testing model.
Answers
Answer:
hello your question has some missing part attached below is the missing part
Average Price of home in my county= $580,400 Mean=640069.371428571 stand error= 20175.166257334
The Sample mean that already have = $ 640,069 Stand. Dev.=119357.893215687 count= 35 Variance: 14246306672.8874
Critical t= confidence=95% sign= 5%
2.05183052
Answer :
First step : Confidence interval
Second step : Hypothesis test
Third step : perform a Test statistic
Fourth step : Reject null hypothesis
Fifth step : conclusion
Step-by-step explanation:
First step : Confidence interval
attached below
confidence interval ; ( 599068.13, 681069.87 )
Second step : Hypothesis test
attached below
Critical values of t = ± 2.032 ( from table )
Third step : perform a Test statistic
attached below
hence t = 2.958
Fourth step : Reject null hypothesis
we will reject null hypothesis because calculated value of t = 2.958 > critical value ( t = 2.032 )
Fifth step : conclusion
Provided data supports claim that average price of home in my area is the same as average price of home in the entire country .
you need to raise at least $400 in order to go on a field trip. you are selling magazines for $12 each. you have already raised $124. how many magazines must you sell to meet your goal? write, solve and graph the inequality for this situation.
Answers
Answer:
44 magazines need to be sold
Step-by-step explanation:
Y=Mx+b
400=12x-124
524=12x
43.6667 or 43 (2/3)
round up since you cant sell 2/3 of a magazine
Answer:
the inequality is 124+12x≤400
Step-by-step explanation:
x=23
hope this helps
x ≤ 8
x > 8
x < 8
x ≥ 8
Answers
Answer:
x < 8
Step-by-step explanation:
the dot isnt filled so symbol wont have a line under it
line moving left of 8 so less than 8.
Matthew weighed 96 ounces at birth. His sister, Adrienne, weighed 7 pounds at birth. Who
weighed more and how many pounds more?
Answers
Answer:
A
Step-by-step explanation:
96 ounces = to 6 pounds
7-6=1
what is the perimeter of polygon lmnpq
Answers
Answer:what is the perimeter of polygon lmnpq
Step-by-step explanation:
Write an equation in slope-intercept form for the line that goes through points (1.4, 0) and (1, –2).
Answers
Answer:
y=5x-7
Step-by-step explanation:
1. find slope
-2-0
1-1.4
is 5
2. find y intercept
y-0=5(x-1.4)
y=5x-7
Answer:
5x - 7
Step-by-step explanation:
Which expression gives the measure of angle
XYZ in the diagram below?
A. (154° + 46°)
B. 154° + 46°
c. 1/2 (154° -46° )
D. 154° - 46°
Answers
Answer:
C. 1/2(154-46) hope this helps :)
Step-by-step explanation:
The measure of the angle XYZ will be [tex]\frac{1}{2} (154^0 -46^0 )[/tex] i.e. option C.
What is angle ?Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
We have,
Arc ST = 46°, and
Arc XZ = 154°
Now,
We know that the measure of the arc is same as that of central angle.
Now,
Join X and T,
Now,
We know that, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles.
So,
Angle XTZ [tex]=\frac{154}{2}[/tex]
And,
Angle SXT [tex]=\frac{46}{2}[/tex],
Now,
∠XTZ = ∠XYZ + ∠SXT [Exterior angle is equal to the sum of interior opposite angles]
So,
∠XYZ = ∠XTZ - ∠SXT
Now,
Substituting the values,
We get,
∠XYZ [tex]=\frac{154}{2}-\frac{46}{2}[/tex]
i.e.
∠XYZ [tex]=\frac{1}{2} (154-46)[/tex]
So, measure of angle XYZ is [tex]\frac{1}{2} (154-46)[/tex] .
Hence, we can say that the measure of the angle XYZ will be [tex]\frac{1}{2} (154^0 -46^0 )[/tex] i.e. option C.
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Buddy and Michael get into a
snow fight with some boys on the
way home from school. It seems
as though Buddy can throw 4
times as many snowballs as the
boys can. If Buddy throws 1200
snowballs, how many did the boys
throw? Write an equation and
solve.
Answers
Answer:
1500
Step-by-step explanation:
1200/4=300
1200+300=1500
Answer:
This means the boys throw 300 snowballs while Buddy throws 1200 snowballs
Step-by-step explanation:
Equations
Let's call
x = number of snowballs the other boys throw.
4x = number of snowballs Buddy throws.
We know Buddy throws 1200 snowballs, thus
4x = 1200
Divide by 4:
x = 1200/4
x = 300
This means the boys throw 300 snowballs while Buddy throws 1200 snowballs
Each day at the bakery, Jack bakes vakes and helps out at the counter. Make a scatter plot of the hours Jake spends at the counter as a function of the number of cakes he bakes. Draw the trend line, choose what type of correlation the scatter plot shows, choose what could be the equation for the data, and then lastly choose what the y-intercept of the line represents.
What type of correlation does the scatter plot show:
A. positive correlation
B. negative correlation
C. no correlation
D. cannot be determined
Which could be an equation of the trend line:
A. y = -0.5x + 5
B. y = -0.8x + 8
C. y = -0.5x + 3.5
D. y = -0.8x + 5
What does the y-intercept of the line represent:
A. average time it takes to bake one cake
B. average number of cakes per hour Jack can bake
C. total time spent baking cakes D. total number of hours Jack works each day
D. total number of hours Jack work each day
Answers
2 A
3 C
I hope this helps
Pls help me!!!!!!!!
Answers
Answer: 127,500
Step-by-step explanation: I just used a calculator
Answer:
the answer is 127,500
Step-by-step explanation:
Like terms need to have what
Answers
SoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSouka
Answer:
The same letter lol
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
If $350 is divided into two portions in the ratio 2 to 5 what is the smaller portion
Answers
The ratio is 2 : 5 and the smaller portion is 100
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount be A = $ 350
Now , the ratio is 2 : 5
So , the total ratio is = 2x + 5x
= 7x
And, the value 7x = total amount
So , 7x = 350
Divide by 7 on both sides of the equation , we get
x = 50
So , the number 350 in the ratio 2 : 5 is 100 : 250
Hence , the smaller portion is 100
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A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are 6 vegetables available, and guests may select any 2 vegetables for their omelet. How many different combinations of 2 vegetables are possible?
from were get the 5 and 4
Answers
Answer:
15 possible combinations
Step-by-step explanation:
Given
[tex]Vegetables = 6[/tex]
[tex]Selection = 2[/tex]
Required
Determine the possible number of combinations
The question emphasizes on "selection" which means "combination".
So; To answer this question, we apply the following combination formula:
[tex]^nC_r = \frac{n!}{(n-r)r!}[/tex]
In this case:
[tex]n = 6[/tex]
[tex]r = 2[/tex]
The formula becomes:
[tex]^6C_2 = \frac{6!}{(6-2)!2!}[/tex]
[tex]^6C_2 = \frac{6!}{4!2!}[/tex]
[tex]^6C_2 = \frac{6*5*4!}{4!2*1}[/tex]
[tex]^6C_2 = \frac{6*5}{2}[/tex]
[tex]^6C_2 = \frac{30}{2}[/tex]
[tex]^6C_2 = 15[/tex]
Hence, there are 15 possible combinations
How do I find angle N?
Answers
Answer:N is 22.5 I think
Step-by-step explanation:
Half of 90 is 45 and N looks like half of P and half of 45 is 22.5
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Y
- Z
106°
Х
W W
O
Answers
Answer:
∠x = 74°Step-by-step explanation:
wxz = wxy + yxz
180 = x + 106
x = 180 - 106
x = 74°
Give the slope and y-intercept of the
relationship shown in the table.
Answers
25-50 divided by 100-0
Which is -1/4
When x is equal to 0, y is equal to 50
So, your answer is option b
Answer:
B
Step-by-step explanation:
A rectangle has an area of 18 square units. What can be said of its height and width? Check all that apply.
A.
The height could be 1 and the width 18.
B.
The height could be 3 and the width 6.
C.
The height could be 6 and the width 3.
D.
The height could be 8 and the width 10.
Answers
Answer: A, B, and C
Step-by-step explanation:
Area = Length x Width
A. With these dimensions, the area would be 18 sq units
1 * 18 = 18
B. With these dimensions, the area would be 18 sq units
3 * 6 = 18
C. With these dimensions, the area would be 18 sq units
6 * 3 = 18
D. With these dimensions, the area would be 80 sq units
8 * 10 = 80
What is the answer of a multiplication problem called
What is the answer of a division problem called
Answers
Answer:
In multiplication the answer is called PRODUCT and in division the answer is called quotient.
Step-by-step explanation:
I hope that helps and you get a good grade :)
The answer to a multiplication problem is called a Product. The answer to a division problem is called the quotient.
You earn 255 points for defeating 85 enemies. How many points do you earn for defeating 16 enemies
Answers
Answer:
48 points
Step-by-step explanation:
255/85=3
16X3=48
round the hundredth:0.678
Answers
Answer:
0.68
Step-by-step explanation:
7 is in the hundredth place and since 8 is after and it's bigger than 5, the 7 becomes 8 so 0.68
Hope this Helps!