Answer:
y = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = [tex]\frac{1}{3}[/tex] when x = [tex]\frac{1}{2}[/tex] , thus
[tex]\frac{1}{3}[/tex] = [tex]\frac{k}{\frac{1}{2} }[/tex] = 2k ( divide both sides by 2 )
k = [tex]\frac{1}{6}[/tex]
y = [tex]\frac{1}{6x}[/tex] ← equation of variation
When x = [tex]\frac{1}{4}[/tex] , then
y = [tex]\frac{1}{6(\frac{1}{4}) }[/tex] = [tex]\frac{1}{\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex]
-2.6+(-3.5)
Add. Write in simplest form, if necessary.
Answer:
− 10 /61
or
=−6.10000
Step-by-step explanation:
how many hours would it take for a car to travel 150 miles at an average rate of 50 miles per hour
Answer:
3 hours
Step-by-step explanation:
If a car is traveling 50 miles an a hour, then divide 150 into 3, we are using 3 because it is 3 hours.
Answer:it will take the car 3 hours
Anthony cut a piece of metal that weighed 2,700 grams. Dionne cut a piece of metal that weighed 3,200 grams.How much heavier was Dionne's piece, in grams
Answer:
500 grams
Step-by-step explanation:
3,200-2,700=500
What is the prime factorization for 7
Answer:
2, 3, 5, 7, 11, 13, 17, 19 and 23,
Step-by-step explanation:
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19 and 23,
4(x + 2) − 2x = 4(x − 3) please show work
Answer:
x = 20
Step-by-step explanation:
PEMDAS
P = parenthasees
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
this is the order
so first
4x + 8 -2x = 4x - 12
No exponents
no Multiplication
No division
Addition
So for this, we have to subtract the 4x on both sides to get
x + 8 - 2x = -12
then do -8
x - 2x = -20
then
-x = -20
x = 20
Answer:
x=10
Step-by-step explanation:
*The eight is negative and not positive. The answer is x=10
HELP ASAP WILL GIVE BRAINLIEST Find x. Give reasons to justify your solution.
Lines AB and CD are straight lines.
Link to image https://homework.russianschool.com/resource?key=17610ip7xq552
Answer:
385
Step-by-step explanation:
Answer:
The lines are straight the lines are at a 385 angle
Step-by-step explanation:
The reason they are straight lines is they are at a perfectly straight not curving to the side or bending like E and F how they have a 45 dgree angle I assume.
I not really sure if its right but umm if I am I hope this helps you out.
Solve the problem.
The total cost in dollars for a certain company to produce x empty jars to be used by a jelly
producer is given by the function C(x)=0.8x + 40,000. Find C(50,000), the cost of producing 50,000
jars.
A) $40.80
B) $80,000 C)$50,040
D) $40,000
Answer: 80,000
Step-by-step explanation:
Plug in 50,000 where the x are and then just solve from there
round 8,679 to the nearst hundred
Answer:
8700
Step-by-step explanation:
a student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $53. How many of each type of bill does he have
Answer:
$1 bills = x and $5 bills = y
x+y = 17 - that expresses the number of bills.
1x + 5y = 53.
Solve the first for x in terms of y and substitute that into the second.
x = 17 - y
17 - y + 5y =53
17 +4y = 53
4y = 36
y = 9
Substitute that back into the first equation: x + 9 = 17 and then x = 8
Pls help we just started today
Answer:
5.4
Step-by-step explanation:
using pythagoras theorem
a²+b²=c²
5²+2²=c²
c²= 25+4
c²=29
[tex] \sqrt{c ^{2} } = \sqrt{29} [/tex]
c=5.4
please help me with this math problem
Answer:
J
Step-by-step explanation:
P: 312,000,000
Q: 81,000
R: 792,000
S: 26,500
Least to greatest: 26500(S), 81000(Q), 792000(R), 312000000(P)
S, Q, R, P
Rewrite in simplest terms 9v-8(10v-9)
Answer:
-71v+72
Step-by-step explanation:
Hope this helps. Plz give brainliest.
Answer:
9v-8.(10v-9)
result:72-71v
The graph below shows how much money you have in savings each week. Use
this graph to answer questions (a – g).
a. According to the graph how much money did you start with in your savings?
b. How much money will you have after 5 weeks of saving?
Answer:
Step-by-step explanation:
a). Since starting point of the line is (0, 50),
Therefore, I started with the saving of $50.
b). Since endpoint of the segment is (5, 175),
Money with me after 5 weeks will be $175.
c). Let the equation of the line given in the graph is,
y - y' = m(x - x')
Where (x', y') is a point lying on the graph.
And 'm' is the slope of the line.
Slope of the line = [tex]\frac{175-50}{5-0}[/tex]
m = [tex]\frac{125}{5}[/tex]
m = 25
Since, the line passes through (0, 50),
y - 50 = 25(x - 0)
y = 25x + 50
y = 25x + 50
For x = 6,
y = 25×6 + 50 = 200
For x = 7,
y = 25×7 + 50 = 225
For x = 8,
y = 25×8 + 50 =250
d). For x = 10 weeks,
y = 25×10 + 50 = $300
e). For x = 15 weeks
y = 25×15 + 50 = $425
f). For x = 50 weeks,
y = 25×50 + 50 = $1300
g). Equation of the line is,
y = 25x + 50
The quotient of a number and 5 is 17
Which is bigger 0.625 or 1
I will give a brilliant!
Answer:
A
Step-by-step explanation:
the absolute value of a negative number is positive because the absolute value of a number is the distance from 0 on the number line, and distance is positive. -1 is negative, and positive numbers are larger than negative numbers, so |-5/8| is automatically larger.
6x + 4x - 1 = 2(5x + 4)
6x + 4x - 1 =
• 5x +
• 4
X – 1 = X + 8
10x -x-1 = 10x - X + 8
Answer: no solutions
Step-by-step explanation:
4.) Trapezoids ABCD and EFGH are congruent. What is the length of side FG?
a. 9 m
b. 12 m
C. 15 m
Answer:
C. 15m
Step-by-step explanation:
if ABCD and EFGH are congruent that means that they are equivalent to each other. If side FG is the base of that trapizoid, and side CD is the base with the measurement of 15m, then we are left to believe that side FG is 15m
Help someone please I need this one correct to get a good grade
1) The square root of 8 is the least, since 3^2 equals 9, and 8 is less than 9, so its the least.
2) Then the cube root of 27, because 3 cubed is equal to 27
3) Finally, pi is the largest since it equals 3.142.
Good luck with your grades.
root 8 < pi < cube root 27
9. Determine whether the ratios 5/6 and 10/18 are
proportional.
a. proportional
b. not proportional
Answer: b
Step-by-step explanation:
When three times a number is subtracted from eight times the same number, we get the result 35. What is the number?
Answer:
7
Step-by-step explanation:
8x - 3x = 35
5x = 35
x = 7
Answer:
7
explanation:8x - x+x+x =35
8x-3x=35
5x=35
x=7
URGENT I NEED HELP ON THIS DUE BY 12
Answer:
Yes, it should work.
Step-by-step explanation:
DC=AB (because it is a rectangle and they are parallel)
DA=CB (because it is a rectangle and they are parallel)
DB=AC (given)
Those are all sides and gives enough information for us to know that it is congruent.
Answer:
yes
Step-by-step explanation:
Which of the following equations are true about the following parallelogram?
Answer:
A, B, E
Step-by-step explanation:
A is true since the sum of the measures of two consecutive angles of a parallelogram is 180 deg.
B is true since opposite angles of a parallelogram are congruent.
C is false since that equation gives x = -1, but x cannot equal -1 since that would make angle 3x - 12 have a negative measure.
D is false for the same reason as choice C.
E is true since x = 20 is the solution of the equations in choices A and B.
HELP PLEASE I WILL GIVE 100 Poins just please and brainliest
Answer: ok i dont really know but ask your teacher for help
Step-by-step explanation:
Would anyone mind solving this? Thank you!
simplify m+{n-[p+q-(m-n+p-q)]}
Answer:
m+n-p-q+m-n+p-q = 2m-2q
the population in the town of Dexterville is projected to increase by 135% By 2040. If the current population in Dexterville is 2460, what is the projected population by 2040(PLEASE ANSWER QUICKLY I NEED IT ASAP)
It would be 3,321. 2040 times 1.35 equals 3,321.
Find area
of a
Sector of angle P (in degrees) of
a circle
with radius R ?
Answer:
You have to find out how much of the circle the sector is
Step-by-step explanation:
[tex]\frac{\pi R^{2}}{\frac{P}{360}}[/tex]
PLEASE HELP
Solve the inequality. | 2x + 3 | < 7
please show all the work
Answer:
[tex]-5<x<2[/tex]
Step-by-step explanation:
We have the inequality:
[tex]|2x+3|<7[/tex]
Use the definition of absolute value:
[tex](2x+3)<7\text{ or } -(2x+3)<7[/tex]
Let's evaluate each case individually.
Case 1)
We have:
[tex]2x+3<7[/tex]
Subtract 3 from both sides:
[tex]2x<4[/tex]
Divide both sides by 2:
[tex]x<2\\[/tex]
Case 2)
We have:
[tex]-(2x+3)<7[/tex]
Divide both sides by -1. Since we're dividing by a negative, flip our sign:
[tex]2x+3<-7[/tex]
Subtract 3 from both sides:
[tex]2x<-10[/tex]
Divide both sides by 2:
[tex]x<-5[/tex]
So, our solutions are, from least to greatest:
[tex]\{x|-5, 2\}[/tex]
We can see that our inequality is a greater than.
Remember, when dealing with absolute value:
When our sign is greater than (or equal to), our solution is an "or" inequality with our solutions being all values less than our lesser solution or all values greater than our greater solution.
When our sign is less than (or equal to), our solution is an "and" inequality with our solution being between our two solutions.
Since our inequality is a less than, our solution is all the values between our lesser solution and our greater solution.
Our lesser solution is -5. Our greater solution is 2.
So, the solution to the inequality is all values between -5 and 2. As a compound inequality, this is:
[tex]-5<x<2[/tex]
And we're done!
Please help!! I’m confused :(
I’ll give brainliest!
An axiom is a basic assumption about a mathematical situation. There are five axioms that form the basis for Euclidean geometry. List the five axioms.
The five axioms are:
Things which are equal to the same thing are also equal to one another.
If equals be added to equals, the wholes are equal.
If equals be subtracted from equals, the remainders are equal.
Things which coincide with one another are equal to one another.
The whole is greater than the part.
Answer:
AXIOMS AND POSTULATES OF EUCLID
Step-by-step explanation:
AXIOMS
Things which are equal to the same thing are also equal to one another.
If equals be added to equals, the wholes are equal.
If equals be subtracted from equals, the remainders are equal.
Things which coincide with one another are equal to one another.
The whole is greater than the part.
POSTULATES
To draw a straight line from any point to any point.
To produce a finite straight line continuously in a straight line.
To describe a circle with any center and distance.
That all right angles are equal to one another.
That if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the straight lines, if produced indefinitely, will meet on that side on which the angles are less that two right angles.*
A square room in Denise's house measures 15 feet by 15 feet. Find the length of the diagonal of the room, rounded to the nearest tenth
The length of the diagonal of the room is approximately 21.2 feet when rounded to the nearest tenth.
Given information:
A square room in Denise's house measures 15 feet by 15 feet.
Since the room is square, the diagonal forms the hypotenuse of a right triangle whose legs are the sides of the square.
Each side of the square measures 15 feet, so we have:
d² = 15² + 15²
Simplifying:
d² = 2(15²)
d² = 2(225)
d² = 450
Taking the square root of both sides:
d ≈ 21.2
To learn more about the square;
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