Answers
Answer:
x = 1/4
Step-by-step explanation:
To solve, we need to find the constant of proportionality (k) which is defined by the equation:
yx = k
[tex](68)(1/17) = k\\k = 4[/tex]
Therefore when y= 16,
[tex]16x = 4\\x= \frac{1}{4}[/tex]
When y varies inversely with x that means mathematically
[tex]y = \frac{k}{x}[/tex]
k ⇒ is the proportional constant that we need to findWe know for one, that when y = 68 and x = 1/17, that means
[tex]68 = \frac{k}{\frac{1}{17} } \\68 = 17k\\k = 4[/tex]
Therefore we get the equation of the relationship between y and x as
⇒ [tex]y = \frac{4}{x}[/tex]
So when y = 16, then
[tex]16 = \frac{4}{x} \\4 = 16x\\x = \frac{1}{4}[/tex]
Thus the value of x when y = 16 is 1/4 or the third choice.
Hope that helps!
Related Questions
help me with this problem ASAP!
Answers
Answer:
24 boards
Step-by-step explanation:
The builder is building a fence with inches wide wooden boards, arranged side-by-side with no gaps.
If the fence is 150 inches long, then there will be a certain number of wooden boards required.
Now, 1 wooden board is equivalent to 6.25 inches.
Then the number of wooden boards required to cover 150 ft. will be
Answer:
24
Step-by-step explanation:
150/6.25 = 24. one unknown so divide to move 6.25 and you get the answer.
PLS HELP
it is the last question ignore the lesson and pg number ;)
Answers
Answer:
the last answer is -1 :))))))
The cost of attending an amusement park is $15 for children and $35 for adults on a particular day the attendance at the amusement park is 25,000 attendees and the total money earned by the park is 600,000 use a given matrix equation to solve for the number of children tickets sold
Answers
The total number of children tickets sold on the particular day is; 13750.
What is the total number of children tickets sold?It follows from the task content that;
x + y = 25,00015x + 35y = 600,000On this note, it follows that the total number of children and adult tickets sold on that particular day is; x and y respectively.
Upon solving the equation simultaneously, x=13750.
Hence, the total number of children tickets sold is; 13750.
Read more on Simultaneous equations;
https://brainly.com/question/16863577
Answer:
13,750
Step-by-step explanation:
Switch values a and d value a 1 and value d 35 and then after that make values b and c negative so turn value b 1 into -1 and turn value c 15 into -15 and then follow this method a×d-(-b)×(-c) so like this 1×35-(15)(1)= 35-15=20 and thats the determinant so then you do put it on a fraction below 1 so like this 1/20 times the top part of the matrix (35 -1 ) and the bottom part of the matrix (-15 1) so mulitply every value by 0.05 so we end up with the top part of the matrix (1.75 -0.05)
and the bottom part of the matrix (-0.75 0.05) and then we multiply them like this
1.75(25,000) + (-0.05)(600,000)= 43,750 - 30,000= 13,750
-0.75(25,000) + 0.05(600,000) = -18,750 + 30,000= 11,250
so the missing matrix is
(13,750 11,250)
so the number of childrens tickets sold is 13,750
Solve for m
[tex]n=\frac{4}{5} (m+7)[/tex]
Answers
[tex]n=\dfrac 45 (m+7)\\\\\implies 5n = 4(m+7)\\\\\implies 5n = 4m+28\\\\\implies 4m = 5n-28\\\\\implies m = \dfrac{5n-28}{4}[/tex]
Isabella is calculating the interest earned on a deposit of $3,000 in an account that earns 4% compound interest after 6 years.
Answers
$3,000 in an account that earns 4% compound interest after 6 years.
solution:[tex]p = 3000[/tex]
[tex]r = 4[/tex]
[tex]t = 6years[/tex]
[tex]interest = \frac{prt}{100} [/tex]
[tex] = \frac{3000 \times 6 \times 4}{100} [/tex]
[tex] = 720[/tex]
therefore, $720 is the current amount of interest.
What is the perimeter, rounded to the nearest tenth? 24.2 ft 28.3 ft 48.5 ft 56.8 ft
Answers
Answer:
48.5 ft
Step-by-step explanation:
You want to paint the four walls in your
bedroom. Each wall is 9
feet tall by 12 feet
wide. What is the total
area
Answers
15. Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
Answers
Answer:
x = 13√3
y = 13
Step-by-step explanation:
The side ratios in a 30-60-90 triangle are ...
1 : √3 : 2
In order to make the long sides match, we need to multiply these by 13:
1 : √3 : 2 = y : x : 26 = 13 : 13√3 : 26
Matching values, we find ...
x = 13√3
y = 13
what is the slope of y = 15x + 5
Answers
Answer:
15
Step-by-step explanation:
from equation y= mx+c
we can equate m (slope/gradient) to 15
17) y=-2(x-3)^2+8
Vertex: ____
Y-intercept(plug-in 0): ____
18) y=4x^2-8x-5
a=__ b=__ c=__
1. Circle: Graph upwards/downwards
2.Vertical Axis of Symmetry
X=-b/2a
X=__
3.Vertx (plug in axis of symmetry):
4. Y-intercept (plug in 0):(0,_)
5. X-intercepts (Solve by any method):
X=__,__
6.Graph the equation below:
Answers
Answer:
17. vertex (3,8)
y intercepts = -10
18. a=4,b=-8,C=-5
1. graph downwards
2.x=1
3.vertex(1,-9)
4.y intercept = -5
5.x = -1/2 or X = 5/2
Peter graphed two points given below on a coordinate plane.
(-6, 4), (3, 4)
What is the distance between the points?
Answers
Answer:
9
Step-by-step explanation:
Because the y-coordinates are the same but the x-coordinates are different so -6 to 3 would be 9 because -6 to 0 is 6 and 0 to 3 is 3 and 3 + 6 equals 9
Answer:
distance: 9 units
Explanation:
[tex]\sf distance \ between \ points \ : \ \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Here coordinates : (-6, 4), (3, 4)
substitute the following values and put into the equation
[tex]\sf \rightarrow \sqrt{(4-4)^2+(3-(-6))^2}[/tex]
[tex]\sf \rightarrow \sqrt{(3+6)^2}[/tex]
[tex]\sf \rightarrow \sqrt{81}[/tex]
[tex]\sf \rightarrow 9[/tex]
find 2 cube number that is greater then 20 but less than 50
Answers
[tex] 20\leqslant x {}^{3} \leqslant 50[/tex]
[tex] \sqrt[3]{20} \leqslant x \leqslant \sqrt[3]{50} [/tex]
[tex]2.714 \leqslant x \leqslant 3.684[/tex]
[tex]x = 3[/tex]
[tex]x = 3.5[/tex]
verify your answer:[tex]3 {}^{ 3} = 27 [/tex]
[tex] 20\leqslant27 \leqslant 50[/tex]
[tex]3.5 {}^{3} = 42.875[/tex]
[tex]20 \leqslant 42.875 \leqslant 50[/tex]
Which of the following is true about quantitative research? Group of answer choices It offers conclusions that are always correct. It is always conducted using primary data collection. It includes focus group interviews. It revises the research objective based on data mining. It confirms insights and hypotheses generated via qualitative research.
Answers
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ}
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Answers
The ladder and the outside wall form a right triangle
The length of the ladder is 97.8 feet
How to determine the length of the ladder?The given parameters are:
Distance (B) = 22 feet
Angle of elevation (θ) = 77 degrees
The length (L) of the ladder is calculated using the following cosine ratio
cos(θ) = B/L
So, we have:
cos(77) = 22/L
Make L the subject
L = 22/cos(77)
Evaluate the product
L = 97.8
Hence, the length of the ladder is 97.8 feet
Read more about right triangles at:
https://brainly.com/question/2437195
Find the volume and surface area of this combined figure.
Answers
The volume and surface area of the composite shape are 575.6cm³ and 518.1cm² respectively
How to calculate the volume and surface area of composite shapesComposite shapes are the combination of two or more shapes combined together.
The composite shape given is made up of a hemisphere and a cone
Volume of the composite shape = 2/3πr³ + 1/3πr²h
Volume of the composite shape = 1/3πr²(2r+h)
Volume of the composite shape = 1/3(3.14)(5)²(2(5)+12)
Volume of the composite shape = 1/3(3.14)(5)²(22)
Volume of the composite shape = 575.6cm³
Hence the volume of the composite shape is 575.6cm³
Calculate the surface area
Surface area = πr(r+l) + 3π r²
Surface area = 3.14(5)(13+5) + 3(3.14)(25)
Surface area = 282.6 + 235.5 = 518.1 square cm
Hence the surface area of the composite figure is 518.1 square cm
What number Am I?
Elmo wants answers
Answers
Answer:
20
Step-by-step explanation:
Since it's a multiple of 5 between 18 and 30, possible answers are:
20 and 25
The GCF of 18, 36, and the number is 2, and 25 is not divisible by 2, leaving only 20.
Complete the following sentence with the best phrase. A small P-value means:
A. The data provide strong evidence in favor of the null hypothesis
B. The data provide no evdence in favor of either hypothesis
C. The data provide little evidence in favor of the alternative hypothesis
D. The data provide strong evidence in favor of the alternative hypothesis
Answers
Answer:
d
Step-by-step explanation:
Find CD. Assume segments that appear to be tangent are tangent.
Answers
Answer: 5
Step-by-step explanation:
In a concert band, the probability that a member is in the brass section is
0.50. The probability that a member plays trombone, given that he or she is in
the brass section, is 0.24.
What is the probability that a randomly selected band member is in the brass
section and plays trombone?
• A. 0.74
•
B. 0.12
• C. 0.26
• D. 0.48
Answers
Answer:
the answer is C. 0.26
Step-by-step explanation:
Because 0.50 + 0.24 is 0.74 and I'm guessing it goes to 1.0
So you subtract 1.0 from 0.74 to get 0.26
write the number in word form 4,651.93
Answers
Answer:
Four thousand six hundred fifty one point nine three
Hope this helps and please mark brainliest!
4. If you are moving a 25 N weight, over a distance of 2.5 meters, how much work is being
done?
Answers
Answer:
62.5 J
Step-by-step explanation:
Formula
Work = Force x Distance (Displacement)Given :
Force = 25 NDistance = 2.5 mSolving
Work = 25 x 2.5Work = 62.5 JThe work done with the given force and distance is 62.5 Newton meter.
What is time and work?The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.
Given that, force = 25 N weight and distance = 2.5 meters
We know that, work = Force×Distance
Here, work = 25×2.5
= 62.5 Newton meter
Therefore, the work done is 62.5 Newton meter.
To learn more about the time and work visit:
https://brainly.com/question/3854047.
#SPJ7
Draw a model of 1/2 divided by 4 please help yall
Answers
Answer:
1/8
Step-by-step explanation:
1/2 divided by 4 = 8 1/8ths
If you put $5000 in a savings account that
pays 2% annual interest, the amount
of money you will have at the end of the year
is?
Answers
Answer:
$5100.
Step-by-step explanation:
2% annual interest is the same as multiplying a number by 0.02, then adding that number to the original number. Using this information, we can do the following steps:
5000 x 0.02 = 1005000 + 100 = 5100You will have $5100 at the end of the year.
Answer:
$5100
Step-by-step explanation:
$5000 is put into the account originally. If you multiply this number by 0.02 you will get your answer. All the best. -Crispin
Expand and simplify 2(x+7)+3(x+1)
Answers
To solve this function, we must add like terms until there is nothing that we can add, multiply, subtract, divide, or simplify
[tex]2(x+7) +3(x+1) = 2x + 14 + 3x + 3 = 5x + 17[/tex]
Hope that helps!
Steps:
1. Distribute the numbers on the outside of the parentheses to one’s on the inside
2. Then combine the like terms. Such as 3x and 4x.
3.Simplify if needed.
In this case after combining like terms it is the simplest this equation will get because you can’t combine 5x with 17. They aren’t like terms.
2(x +7)+3(x +1)
= 2x+14+3x+3
= 5x+17
Hope this helps! :)
If y x w= 0, what can be said about the two vectors y and w?
=
Answers
One of the vectors is 0.......
They are 1,236 oysters in a tub. If Lee gives Chris half of her oysters how many will remain in the tub?
Answers
Answer:
618
Step-by-step explanation:
half means you divide by 2.
so 1,236/2=618
hope this helps
Answer:
618 oysters
Step-by-step explanation:
Given :
1,236 oysters in a tubGives Chris half of her oystersSolving :
half refers to dividing the number of oysters by 2 or multiplying by 1/2⇒ 1,236 / 2⇒ 618 oysters remainFind the value of x.*
20
48
36
60
Answers
Answer: 48
Step-by-step explanation:
b) x2 - 2x - 3
I need help with factorising :/
Answers
I know that answer
..............please mark as brainliest
how do you do 35x56 i need help please
Answers
Answer:
EASY-
Step-by-step explanation:
First you need to write down the equation into what I call box form.HELPPP WHATS THE PERMITER
Answers
Answer:
48 is the perimeter
Step-by-step explanation:
I gotchu
