Answer:
Option 3 (angle WXY + angle YXZ = 180) is the answer.
What is the solution of 4x 2 36?
Answer:
x= 8.5 or 9, or deciding if u adding or subtracting the problem, x= 9.5 or 10
Step-by-step explanation:
If you're meaning 4x+2=36 or 4x-2=36
-2 -2 +2 +2
4x=34 4x=38
4 4 4 4
x= 8.5 or 9 x= 9.5 or 10
Hope i have helped you! :)
calculate the slope of the line that contains the points (2,-3) and (6,-3)
Answer:
Step-by-step explanation:
y2-y1/x2-x1= -3-(-3)/6-2= 0/4
The price of a computer was decreased by 30% to £147. What was the price before the decrease?
A decrease by 30%, means that the price is now 70% of the original price ( 100% - 30% = 70%)
To find the original price divide the new price by the percent of the original price it is now.
147 / 0.70 = 210
The original price was £210
The price before the decrease is £210.
Given that,
The price of a computer was decreased by 30% to £147.Based on the above information, the calculation is as follows:
[tex]= 147 \div 70\%[/tex]
= £210
Therefore we can conclude that the price before the decrease is £210.
Learn more: brainly.com/question/6201432
What is the function rule for the following situation? Rex paid $20 for a membership to the pool and pays $300 each time he goes to the pool.
y = 20x + 3
20 = 3x + y
y = x + 20
none of these
The function rule for the situation is none of the given options
What is the function rule for the situationFrom the question, we have the following parameters that can be used in our computation:
Membership = $20
Payment each time = $300 per visit
using the above as a guide, we have the following:
f(x) = Membership + Payment each time * x
substitute the known values in the above equation, so, we have the following representation
f(x) = 20 + 300* x
Evaluate
f(x) = 20 + 300x
Hence, the expression is f(x) = 20 + 300x
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none of the given options
None of the provided options in the question are correct.
The function rule that correctly represents Rex's situation, given that he paid a $20 membership fee and pays $300 each time he goes to the pool, would be a linear equation that includes a one-time fee (membership) and a per-visit cost. Let's define x as the number of times Rex goes to the pool and y as the total cost. Therefore, the equation should include the initial membership fee and the per-visit cost multiplied by the number of visits.
The correct function rule is y = 20 + 300x, where 20 represents the one-time membership fee and 300 represents the cost per pool visit. None of the provided options are correct. The equation signifies that for every visit to the pool, the total cost increases by $300, and the initial membership cost is $20.
Travis traveled a total distance of 3 1/2miles. He rode the bus 1 1/4mile.He walked 2/3 mile.He rode in a car the remainder of the 3 1/2 miles. How far in miles did he ride in a car?
Answer: 1 5/12
Step-by-step explanation: You need to find a common denominator 3 and 4 are the denominators you can do 3 times 4 is 12 and 4 times 3 is 12, but whatever you do to the denominator needs to be done to the numerator so 2 times 4 is 8 and 1 times 4 is 4 then you have the fractions 8/12 and 3/12 then you just subtract and you get 1 5/12.
*Hard to explain*
Which is the same distance from zero on the number line as 25? 1.) 50 2.) 0 3.) −25 4.) −50
Answer:
-25
Step-by-step explanation:
-25 is the same distance away from zero as is 25.
Answer:
-25
Step-by-step explanation:
this is a question about absolute value. with absolute value, if the number is negative, u simply take off the negative sign. so, ur looking 4 the opposit of 25, which is -25
John, Rick, and Molli can paint a room working together in 6 hours. Alone, John can paint the room in
12 hours. If Rick works alone, he can paint the room in 15 hours. Write an equation comparing the
group rate to the sum of the individual rates. Then find how long it will take Molli to paint the room if
working alone.
a. What is the equation?
b. What is the lowest common denominator for the equation in part a?
c. Show all work below in solving equation from part a.
Answer
a. [tex]\frac{1}{m}(6)+\frac{1}{12} (6)+\frac{1}{15} (6) =1[/tex]
b. 60hrs
Step-by-step explanation:
Let the time Molli will take to pint the room to be = t
Thus the amount of room that Molli can paint in 1 hour= 1/m
The amount of room John can paint is 1 hour= 1/12
The amount of room Rick can paint in 1 hour = 1/15
The equation for working together at a rate x time per work done will be;
[tex]\frac{1}{m} *6+\frac{1}{12} *6+\frac{1}{15} *6=1[/tex]
You multiply by 6 in the three terms of the equation because it takes 6 hours for John, Rick and Molli to complete painting.
[tex]\frac{6}{m} +\frac{1}{2} +\frac{2}{5} =1[/tex]
multiply by 10m in every part of the expression because 10m is the Least Common Multiple(LCM) is this case
Collect like terms and find value of m
[tex]60+5m+4m=10m\\\\60+9m=10m\\\\60=10m-9m\\\\60=m[/tex]
Molli will take 60 hours to paint the room if working alone
Find a quadratic equ
{-2/5 7/5}
{-2/5 7/5}={-2*7/5*5}={-14/25} or if you prefer :
Final answer:
The quadratic equation with roots -2/5 and 7/5 is 25x^2 - 25x - 14 = 0. This is derived by expressing the equation in the form a(x - α)(x - β) = 0 and substituting the given roots.
Explanation:
To find a quadratic equation with roots -2/5 and 7/5, we use the fact that if α and β are the roots of the quadratic equation ax2 + bx + c = 0, then the equation can be written as a(x - α)(x - β) = 0. For roots -2/5 and 7/5, the quadratic equation becomes:
x2 - (sum of roots)x + (product of roots) = 0
x2 - ((-2/5) + (7/5))x + ((-2/5) × (7/5)) = 0
x2 - (5/5)x - (14/25) = 0
x2 - x - 14/25 = 0
Multiplying through by 25 to clear the fraction:
25x2 - 25x - 14 = 0
This is the quadratic equation with the given roots.
What is the volume of the following triangular prism?
A) 252 yd3
B) 126 yd3
C) 42 yd3
D) 84 yd3
Answer:
Option C. [tex]42\ yd^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
[tex]V=BH[/tex]
where
B is the area of the triangular base
H is the height of the prism
Convert 9 ft to yd
Remember that
1 ft=1/3 yd
9 ft=9*(1/3)=3 yd
Find the area of the base B
[tex]B=\frac{1}{2}(3)(4)=6\ yd^{2}[/tex]
we have
[tex]H=7\ yd[/tex]
substitute the values in the formula
[tex]V=BH[/tex]
[tex]V=(6)(7)=42\ yd^{3}[/tex]
Answer:
The answer is 42 yards! Sry im late. :(
John wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33o . How tall is the tree?
Answer:
3300
Step-by-step explanation:
100 * 33
Information you may find on your paycheck stub may include _____.
pay period, taxable allowances, and dividends
deductions, dividends, and interest
employee benefits, date of hire, and number of dependents
employee ID, vacation time, pay period, and deductions
Answer:
Pay period, taxable allowances, and dividends
Step-by-step explanation:
Answer: Pay period, taxable allowances, and dividends
Explanation:
Paycheck stub is the type of document which include the total paid amount to the employees. It is also known as pay slip and pay stub. The pay stub is basically received by the each pay slip and period.
This pay check stub document basically show the total earnings, deductions and the net pay after the all deductions.
We can also save the paycheck stub in our records so that we can easily access it in future. In case of the employees and employer, the paycheck stub prove that the payment and the income are both consistent.
given that ABCDEF = PQRSTU , solve for z
the answer is z=7 (as 3z-4=17)
Answer:
A. 5
Step-by-step explanation:
Given: x - 8 > -3.
Choose the solution set.
1.{x | x R, x > -9}
2.{x | x R, x > -5}
3.{x | x R, x > 5}
4.{x | x R, x > 14}
Answer:
x-8>-3 {x|R, x>5 is right answer
For this case we must find the solutions of the following inequality:
[tex]x-8> -3[/tex]
Adding 8 to both sides of the inequality we have:
[tex]x> -3 + 8\\x> 5[/tex]
Thus, the solutions of the variable "x" are given by all the real numbers greater than 5.
Answer:
Option C
Can someone please help me with these two
Answer:
For number 14, the answer should be 100 degrees. For number 15, the answer is 80 degrees. For number 16, the answer is 120 degrees.
Step-by-step explanation:
For number 14, if a minor arc is 80 degrees, then the major arc should be 100 degrees to add to make 180 degrees. For number 15, you can see the size of the 70 degrees angle, AB. Because DE is bigger than AB, we can conclude that it is probably 80 degrees. For number 16, if XY, YZ, and ZX are all the same, and a circle always adds up to 160 degrees, then 360 divided by the three arcs is 120.
a civil engineer has laid a graph down over the stretch of a new road system. a circular rotary has a diamater with endpoints (-3,5) and (5,11) what are the center and raduis of the rotary
[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{11}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{5-3}{2}~~,~~\cfrac{11+5}{2} \right)\implies \left(\cfrac{2}{2}~,~ \cfrac{16}{2}\right)\implies \stackrel{center}{(1,8)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{endpoint}{(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})}\qquad \stackrel{center}{(\stackrel{x_2}{1}~,~\stackrel{y_2}{8})}\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[1-(-3)]^2+[8-5]^2}\implies r=\sqrt{(1+3)^2+(8-5)^2} \\\\\\ r=\sqrt{16+9}\implies r=\sqrt{25}\implies r=5[/tex]
Do the midpoint formula. Which will give you (1,8)
What is the volume of the prism that can be constructed from this net?
184 units³
120 units³
124 units³
64 units³
Check the picture below.
so the net once folded up, will look more or less like the box there on the bottom-right.
Length = 2, Width = 10, Height = 6.
volume is then 2*10*6 = 120.
Answer:10,126,272 units
Step-by-step explanation:
184*184*184=6,229,504
120*120*120=1,728,000
124*124*124=1,906,624
64*64*64=262,144
6,229,504+1,728,000+1,906,624+262,144=10,126,272
Two and two fifths divided by one and a half
Answer:
8/5 or 1 3/5
Step-by-step explanation:
2 2/5 = 12/5
1 1/2 = 3/2
Now that we have fractions that are easier to divide, one must understand that the opposite of dividing is multiplying. So if you multiply 12/5 by the reciprocal* of 3/2, which would be 2/3, you would get your answer so...
12 3 12 2 24 8 3
— ÷ — = — × — = — = — or 1 —
5 2 5 3 15 5 5
*the reciprocal is the opposite of the fraction you have. So the denominator would become the numerator, and vise versa.
The president of a certain University receives a salary that is three times the salary of one of the department heads the total of the two salaries is 190000 what is the salary of the president of the University
Answer:
$142500
Step-by-step explanation:
We are given that the resident of a certain University receives a salary that is three times the salary of one of the department heads.
If the sum of the two salaries is $190000, we are to find the salary of the president of the University.
Let [tex]x[/tex] to be the department head's salary, we can write an equation:
[tex]3x+x=190000[/tex]
[tex]4x=190000[/tex]
[tex]x=47500[/tex]
Salary of the president of the University = [tex]3(47500)[/tex] = $142500
Answer:
$142,500
Step-by-step explanation:
Let's say x is the salary of the department head.... so the salary of the president of the university can be described as 3x.
Then, we know the total of the two salaries is 190,000. We can express this as:
3x + x = 190,000
4x = 190,000
x = 47,500
x is for the department head. To get the president's salary, we have to multiply that by 3:
p = 3 (47,500) = 142,500
The salary of the president is then of $142,500.
The box and whisker plot below represents students test scores of Mr. Ali’s history test.
C. Mr. Ali’s wanted more than half of the students to score 75 or greater on the test. Explain how you know that more than half of the students did NOT score greater than 75.
Answer:I know that more than half of the students did not score more than 75 because the median (the middle number) is 68.
Step-by-step explanation:
WORTH 34 POINTS! PLEASE HELP ASAP!
Would you describe the association between the age of the car and its resale value as exhibiting a linear association, non-linear association, or no association? Explain your reasoning.
Answer:No assoication
Step-by-step explanation:
because they are not parellell with each other
Answer: No association.
Step-by-step explanation: They aren't parallel with each other. So, it has to be no association.
What is the solution to the following system of equations?
2x + 3y = 3
-3x - 2y = 8
The answer is (-6,5)
Answer:
Your answer will be (-6,5).
Step-by-step explanation:
You multiply the first equation by 3 and the second equation by 2. You will then cancel out the x's and find your y which is 5. You plug y back into your first equation to find your x which is -6. You then have your solution set.
Evaluate -3x3 - 4x for x = -1. 1 7 -1
Answer:
-5
Step-by-step explanation:
-3 x 3 - 4x
x=-1
-3 x 3 - 4(-1)
-3 x 3 + 4
-9 + 4
-5
Hope This Helps! :D
Answer:
-3-4x
=-3(-1
=-3*(-1)+4
=3+4
=7
Step-by-step explanation:
that should be all you need to know
Find the probability that the next 1,000 cars purchased in your city will all be the color blue.
Assuming that the probability of a car being colored blue is not equal to 0 or 1, then the most logical answer would be the smallest probability.
P= 0.001
Answer:
0.001
Step-by-step explanation:
gradpoint
8 points! Please help me with this problem, what is sin(theta)?
sin=√17/7
or sin=sqrt(17)/7
Answer:
[tex]\frac{\sqrt{17} }{7}[/tex]
Step-by-step explanation:
Given
cosΘ = [tex]\frac{4\sqrt{2} }{7}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]
Then the hypotenuse of the right triangle is 7 and the adjacent side is 4[tex]\sqrt{2}[/tex]
To find the opposite side use Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
opp² + (4[tex]\sqrt{2}[/tex] )² = 7²
opp² + 32 = 49 ( subtract 32 from both sides )
opp² = 17 ( take the square root of both sides )
opp = [tex]\sqrt{17}[/tex]
Hence
sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{17} }{7}[/tex]
Ivan and Tanya share £150 in the ration 4 : 1
work out how much more Ivan gets compared to Tanya.
Add the ratio to get total shares: 4 +1 = 5
Divide the total amount to share by the total shares:
150 / 5 = 30
Now multiply each set of shares by that:
4 x 30 = 120
1 x 30 = 30
120-30 = 90 more
5 pounds of birdseed cost $10.40. What is the price per ounce ?
$0.13 per ounce. 5 pounds of birdseed cost $10.40, then the price per ounce is $0.13.
The easiest way to solve this problem is using arithmetic operations and unit conversion.
We have to calculate the price per pound. Let's divide $10.40 by 5 pounds.
10.40/5 = 2.08
The price per pound is $2.08
To calculate the price per ounce, with 1 pound = 16 ounces. Let's divide $2.08 by 16 ounces.
2.08/16 = 0.13
The price per ounce is $0.13
Where is the Great Barrier Reef located?
Answer:
The Great Barrier Reef is located in Australia.
The Great Barrier Reef is located off the northeastern coast of Australia.
It stretches for approximately 1,600 miles and is home to a diverse range of sea creatures and fish, attracting millions of tourists, scuba divers, and water enthusiasts each year.
This natural wonder is a significant tourist attraction and plays an important role in the Australian economy.
Additionally, the Great Barrier Reef has been designated as a United Nations World Heritage Site due to its ecological importance.
In a population of 300 pigeons, 55% are female. If 40% of the male pigeons are not white, how many male pigeons are white? 135 180 81
Answer:
81
Step-by-step explanation:
Assuming the pigeons are either male or female, the 45% of them that are not female are male. Of those, there are 40% that are not white, so 60% are white. Then the number of white male pigeons is ...
60% of 45% of 300 = 0.60 · 0.45 · 300 = 81
Rewrite the expression using the distributive property.
8(4x+6y-2z)
A. 12x + 14y - 6z
B. -4x + -2y - 10z
C. 32x + 48y - 16z
D. 0.5x + 0.75y - 0.25z
Answer:
32x + 48y - 16z
Step-by-step explanation:
15. The temperature C, in degrees, that is equivalent to a temperature of F degrees Fahrenheit is given by graph of this equation shows the temperature in Celsius for the corresponding temperatures in Fahrenheit.
a. Explain how linear equations can be used in temperature conversion.
b. Explain how could you could use the conversion graph to find the normal body temperature in degrees Celsius, which is 98.6°F.
Answer:
A. How can the equation be used in temperature conversion?
You take the conversion equation C = (5/9) (F - 32) and you replace the F by the value of Fahrenheit degrees... then solve the calculations to get the degrees in Celsius.
For example, if you have 80°F to convert in °C:
C = (5/9) (80 - 32) = (5/9) (48) = 26.66 °C
B. How can you use the graph to find the body temp in C?
Using the graph will give a very imprecise measure due the scale of the graph.
But you would have to find 98.6 on the axis of X (it represents the °F), then go upwards until you find the line....
Then report that position on the line on the Y-axis (representing the °C) to get your measure.
Answer:
For A: The linear equation is [tex]C=\frac{5}{9}F-\frac{32}{9}[/tex]
For B: The temperature of normal body in degree Celsius is 37° C.
Explanation:
For A:Linear equations are defined as the equations in which the highest power of a variable is '1'. The general equation for a linear equation is:
[tex]y=mx+c[/tex]
where,
y = Y-coordinate
m = slope of the line
x = X - coordinate
c = intercept on y-axis
For the given equation:
[tex]C=\frac{5}{9}(F-32)[/tex]
The linear equation representation for the given equation is:
[tex]C=\frac{5}{9}F-\frac{32}{9}[/tex]
For B:We are given a value of temperature in degree Fahrenheit. To calculate its value in degree Celsius, we use the equation above.
Putting value of F = 98.6 in above equation, we get:
[tex]C=(\frac{5}{9}\times 98.6)-\frac{32}{9}\\\\C=37[/tex]
Hence, the temperature of normal body in degree Celsius is 37° C.