If x varies directly with y and x=3.5 when y=14 find x when y=18

Answers

Answer 1

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{x} varies directly with \underline{y}}\qquad \qquad x=ky\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} x=3.5\\ y=14 \end{cases}\implies 3.5=k14\implies \cfrac{3.5}{14}=k \\\\\\ \cfrac{1}{4}=k\qquad therefore\qquad \boxed{x=\cfrac{1}{4}y} \\\\\\ \textit{when y = 18, what is \underline{x}?}\qquad x=\cfrac{1}{4}(18)[/tex]

Related Questions

Huixian needs to pack 171 pens 63 pencils and 27 erasers into identical gift bags so that each item is equally distributed among gift bags.find the largest number of gift bags can be packed

Answers

To find The largest number of gift bags that can be packed, you will need to find the biggest way all three of these numbers can be divided evenly. You can find this answer by finding the greatest common factor.

I will show this by listing the prime factorization's for each number, and then we will look for all the common factors.

171 = 3 x 3 x 19
63 = 3 x 3 x 7
27 = 3 x 3 x 3

All three lists share two 3s. The means that the biggest way they could be divided is into nine bags (3 x 3).

Answer:

The largest number of gift bags that can be packed is:

Step-by-step explanation:

To find The largest number of gift bags that can be packed, we need to find the greatest common divisor of these numbers.

Listing the prime factorization's for each number:

171 = 3 x 3 x 19

63 = 3 x 3 x 7

27 = 3 x 3 x 3

As we can clearly see from the prime factorization the greatest common factor of these numbers is 9(3×3)

The largest number of gift bags that can be packed is:

Let logba=3 logbc=2 logbd=5 what is the value of logba^3d^4/c^2

Answers

[tex]Use:\\\log_ax+\log_ay=\log_a(xy)\\\\\log_ax-\log_ay=\log_a\dfrac{x}{y}\\\\\log_ax^n=n\cdot\log_ax[/tex]

[tex]\log_ba=3;\ \log_bc=2;\ \log_bd=5[/tex]

[tex]\log_b\dfrac{a^3d^4}{c^2}=\log_b(a^3d^4)-\log_bc^2=\log_ba^3+\log_bd^4-\log_bc^2\\\\=3\log_ba+4\log_bd-2\log_bc=3\cdot3+4\cdot5-2\cdot2=9+20-4=25[/tex]

Answer:

Step-by-step explanation:

Solve this application using logarithms.

How long will money in savings take to double at 5% interest compounded annually? Round the answer to the nearest hundredth of a year.

Answers

Ao is your initial value but since you want your initial to double doesn't matter what that exact value is. R is the rate at 5% (as a decimal) and n is the compounding annually, which is equal to 1.

Answer:

14.21

Step-by-step explanation:

Sin (2x -9)= Cos (x +30) to solve for x

Answers

A graphing calculator shows four (4) zeros of
f(x) = sin(2x -9°) -cos(x +30°)
in the range 0° ≤ x ≤ 360°

Solutions are x ∈ {23°, 129°, 143°, 263°).

_____
You can make use of a couple of trig identities to rearrange this equation.
cos(x) = sin(x+90°)
sin(a) -sin(b) = 2*cos((a+b)/2)*sin((a-b)/2)
So
sin(2x -9°) -sin(x +120°) = 2*cos((3x +111°)/2)*sin((x -129°)/2) = 0
The cosine factor will be zero for
(3x +111°)/2 = n*180° +90°
3x -69° = n*360°
x = 23° +n*120° . . . . . . for any integer n
The sine factor will be zero for
(x -129°)/2 = n*180°
x = 129° +n*360° . . . . . for any integer n

Combined, these solutions give the ones listed above in the range 0..360°.

Choosing a 4-letter password using only 5 letters that may each be used more than once. How do you do this??

Answers

I think that you either have to subtract both or multiply but i feel like its multiplying so I think its multiplying

Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below:

f(x) = 4x − 4

g(x) = x − 1

Answers

x = -4
As g(x) is replaced by g(-4)
plug in -4 for x inside the equation.
g(-4) = (-4) - 1g(-4) = -5
Plug in -4 for x in f(x)f(-4) = 4(-4) - 4f(-4) = -16 - 4f(-4) = -20
Now solve for f(x) over g(x)
remember, f(x) = -20, and g(x) = -5
-20/-5 = 4
4 should be your answer
hope this helpsClick to let others know, how helpful is it

For a circle with a diameter of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a length of 7 3 π meters? A) 35° B) 50° C) 70° D) 140°

Answers

By definition, the arc length is given by:
S = R * Theta
Where,
R: radio
Theta: central angle
Substituting values we have:
(7/3) π = (6/2) * Theta
Clearing the angle we have:
Theta = (7/9) π
Rewriting the angle in degrees:
Theta = (7/9) π * (180 / π)
Theta = 140 degrees
Answer:
The measurement of a central angle (in degrees) is:
Theta = 140 degrees
D) 140 °

Answer:

the answer is (D)

Step-by-step explanation:

WILL GET BRAINLIEST

Which does NOT represent the interior angle measures of a triangle? A.5°, 75°, 100°B.10°, 80°, 90°C.20°, 60°, 100°D.45°, 45°, 45°E.50°, 50°, 80°

Answers

The angles should measure 180º.

5° + 75°+ 100° = 180°

10°+ 80°+ 90° = 180°

20° + 60° + 100° = 180°

45° + 45° + 45° = 135°

50° + 50° + 80° = 180°

So D does not represent interior angle measures of a triangle.

Hope this Helps!!

Given a possible triangle ABC with a=5, b=11, and A=23 degrees, find a possible value for angle b. Round to the nearest tenth. A. 10.2° B. 11.2° C. 59.3° D. no solution Please select the best answer from the choices provided

Answers

Using the law of the sine, we have the following relationship:
Sine (A) / a = Sine (B) / b
Substituting values we have:
Sine (23) / 5 = Sine (B) / 11
Clearing we have:
(Sine (23) / 5) * (11) = Sine (B)
B = Asine ((Sine (23) / 5) * (11))
B = 59.27 degrees
Rounding off we have:
B = 59.3 degrees
Answer:
C. 59.3 °

the bottle of water contains 32 fluid ounces of water. How many cups of water are in a bottle.

Answers

There are 8 fluid ounces in a cup.

Divide 32 by 8 = 4.

There are 4 cups of water in a bottle.

There are 4 cups of water in a bottle containing 32 fluid ounces.

We have,

The number of cups in a bottle of water depends on the conversion rate from fluid ounces to cups.

1 cup is equivalent to 8 fluid ounces.

To find the number of cups in a bottle containing 32 fluid ounces of water, we can divide the total number of fluid ounces by the conversion rate:

So,

= 32 fluid ounces / 8 fluid ounces per cup

= 4 cups

Therefore,

There are 4 cups of water in a bottle containing 32 fluid ounces.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ6

Solve the system of equations -4x + 3y = -2 y = x - 1

Answers

You can use the substitution method.
Plug in x-1 to the first equation and solve.
-4x+3(x-1)=-2
-4x+3x-3=-2
-x=1
X=-1
You then plug x into one of the original equations and solve
Y=-1-1
Y=-2
Answer:(-1,-2)

The solution to the system of equations -4x + 3y = -2 and y = x - 1 is x = -1 and y = -2.

What is the solution to the system of equations?

Given the system of equations in the question:

-4x + 3y = -2

y = x - 1

Solve the system of equations by substituting the expression for y from the second equation into the first equation:

-4x + 3y = -2

Plug in y = x - 1:

-4x + 3( x - 1 ) = -2

Simplifying, we get:

-4x + 3x - 3 = -2

Solve for x:

-x = -2 + 3

-x = 1

x = -1

Now, plug x = -1 into equation 2 and solve for y:

y = x - 1

y = -1 - 1

y = -2

Therefore, the solution is x = -1 and y = -2.

Learn more about system of equations here: brainly.com/question/30319215

#SPJ3

Which image of figure WXYZ is under the composition T 2,7 . D 0,2?

A.figure A

B. figure B

C.figure C

D.figure D

Answers

I Know the answer is Figure A i've done the test.

Answer:

A. Figure A

Step-by-step explanation:

We are given the figure WXYZ.

It is required to find the final figure after [tex]T_{2,7}D_{0,2}[/tex].

Now, [tex]D_{0,2}[/tex] means to dilate the figure by 2 units and [tex]T_{2,7}[/tex] means to translate it by 2 units to the left/right and seven units up/down.

As we have to apply [tex]T_{2,7}D_{0,2}[/tex] to the figure.

This means that first dilation is applied and then translation.

Since, the all the figures are dilated. We focus on the translations.

We can see that, only figure A is translated 2 units to the right and 7 units upwards.

So, option A is correct.

A helicopter hovers 950 over......

Answers

Okay, so here's the equation:
tan 44 = d/950
0.01770469927 (I used a calculator to solve tan 44, so let's just use to the nearest hundredth)
0.02 = d/950
100d = 1900
isolate d:
d = 19
19 feet

Comment
You have to assume that P is on the coast.
You also have to assume that d and the horizontal dotted line defining the 46 degrees are parallel.

Givens
The angle of depression = 46 degrees
The height of the helicopter = 950 feet.

Formula
height helicopter / d = Tan(46)

The thing is that the angle of elevation from P forms an angle with the angle of depression that made 2 alternate interior angles which are equal when two parallel lines and a traversal are given.

The line connecting P and the helicopter is the traversal.

Solution
height of helicopter = 950
d = ??
angle = 46o

Tan(46) = 950/d
d = 950 / tan(46)
d = 950 / 1.03553
d = 917 feet from the island to P <<<<<< answer

which of the following equations can be used to solve for the radius

Answers

Choice 4 is correct ... r = the square root of area over pi

Transpose the equation so that r is a function of A.

r = sqrt(A/pi)

Someone please help me?

Answers

EB * AE = DE *EF

x+3 *3 = 6*x-2

simplify:

3x+9 = 6x-12
subtract 3x from each side

9 = 3x -12

add 12 to each side

21 = 3x
divide both sides by 3

x = 21/3
x = 7

replace x with 7 to find EB

EB = 7+3 = 10 cm

10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

Answers

rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

[tex]\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}[/tex]

[tex]\bf \cfrac{4\sqrt{28350x}}{189x}\qquad \begin{cases} 28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\ \qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\ \qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\ \qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\ \qquad 2\cdot (45)^2\cdot 7\\ \qquad 14\cdot 45^2 \end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x} \\\\\\ \cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}[/tex]

A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 10.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.33 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

The total weight of the container is given by:
Total weight=(volume of the container)*(weight per cubic volume)
volume of the container
=length*width*height
=13.5×10.5×2.5
=354.375 ft³

weight per cubic volume=0.33 pound per cubic ft

Total weight=354.375×0.33=116.94375 pounds~117 pounds

The weight of the contents in the container, to the nearest pound, is 117 pounds.

To calculate the weight of the contents, we first find the volume of the container, then multiply it by the weight per cubic foot.

Step 1: Calculate the volume of the container.

Volume = length × width × height

Volume = 13.5 ft × 10.5 ft × 2.5 ft

Volume = 354.375 cubic feet

Step 2: Calculate the weight of the contents.

Weight = Volume × Weight per cubic foot

Weight = 354.375 cubic feet × 0.33 pounds per cubic foot

Weight ≈ 116.8725 pounds

Rounded to the nearest pound, the weight of the contents is 117 pounds.

First, we find the volume of the container by multiplying its length, width, and height together. The formula for the volume of a rectangular prism is length × width × height. In this case, the dimensions are given as 13.5 feet for the length, 10.5 feet for the width, and 2.5 feet for the height.

Next, we multiply the volume of the container by the weight per cubic foot of the contents to find the total weight. The average weight per cubic foot is given as 0.33 pounds.

Finally, we round the calculated weight to the nearest pound to match the desired precision. In this case, the weight of the contents is rounded to 117 pounds.

Complete question:

Explain the process of solving the following equation: 4^x - 2 = 20

Answers

this is an exponential equation: 4^x - 2 = 20. First thing: combine the -2 and the 20: 4^x = 22.

Next, take the logarithm (natural or common log) of both sides. We get:

log 22
x log 4 = log 22. Then x = ----------- (answer). You could, of course, evaluate
log 4 this on a suitable calculator.

Hi,

[tex]4^x-2=20\\ \Rightarrow\ 4^x=22\\ \Rightarrow\ x*ln(4)=ln(22)\\ \Rightarrow\ x= \dfrac{ln(22)}{ln(4)}\\\\ \Rightarrow\ \boxed{ x=2,2297158...\approx{2.23}} [/tex]
ln means natural log (neper's log)

For bananas are to be selected from a group of seven in how many ways can this be done

Answers

Seven ways since there are 7 bananas but you said for

I really need this answer to be correct

Answers

it is unchanged because the same number would still be in the middle and there would still be the same amount of numbers

if
11,15,21,22,23,27,30 before 22 is the median

if
11,15,21,22,23,27,30 after 22 is still the median

The median is unchanged

Which equation is NOT true?

A. 15x + 55 = 6x + 4x

B. 15x + 55 = 26x

C. 25x + 55 = 180

D. m ∠S = 6x + 4x

Answers

Answer:

Step-by-step explanation:

Answer:

A. 15x + 55 = 6x + 4x

Step-by-step explanation:

Process of elimination the rest are true so this one is not. The angles of one side are supplementary with these angles which means they are not congruent.

Which answer best describes the shape of this distribution?

Answers

skewed to the left
i believe im am not 100% sure tho

The monthly rent of Marilyn's house went from $500 to $400, if p is the percent decrease in the rent, which proportion can be used to calculate p?

Answers

Answer:

Step-by-step explanation:

doing the test right now

Find the slope of the line on the graph

Answers

find 2 points on the line:

(-4,0) and (0,3)

slope = change in y / change in x

slope = 3-0 / 0 - -4

slope = 3/4

What is the value of x

Answers

For this case, we observe that the triangles are similar.
We observe that the triagnules have three equal angles.
Therefore, to find the value of x we can use the following relationship:
[tex]x / 15 = 5/12 [/tex]
Clearing x we have:
[tex]x = (5/12) * (15) x = 6.25[/tex]
Answer:
The value of x is given by:
x = 6.25

The width of a rectangular poster is 16 in its length is twice its width find the perimeter

Answers

length = x
width = y

y = 16
x = 2y
x = 2(16)
x = 32

perimeter = 2x + 2y
= 2(32) + 2(16)
= 64 + 32
= 96

ABCD is a square. Given only the choices below, which properties would you use to prove AEB ≅ DEC by SAS? The diagonals are ⊥ to each other. Opposite sides are | |. The diagonals bisect each other. All sides are congruent.

Answers

All sides of a square re equal and opposite sides are parallel to each other.
Assuming that E is the point where the diagonals intersect (since we are not told in the question), then AEB ≅ DEC.
By SAS,
2 sides are equal. That is AE = EC and DE = EB.
The triangles share a common angle. That is <DEC=<AEB

The property used the diagonals bisect each other.

Challenger Elementary School has 8 0 0 800800 students. Every Wednesday, 1 2 % 12%12, percent of the students stay after school for Chess Club. How many students attend Chess Club on Wednesdays?

Answers

You need to calculate 12% of 800.

To find a percent of a number, multiply the percent by the number.
Change the percent into a decimal by dividing the percent by 100 (move the decimal point of the percent two places to the left.)

12% of 800 =

= 12% * 800

= 0.12 * 800

= 96

Answer: 96 students

Which ordered pair is a solution of y = x + 12?
(24, 12)

(9, 21)

(–12, –24)

(0, –12)

Answers

the answer is (9,21) because is you plug in 9 for x, and add 12, you get 21.

The (24,12) because 12 + 12 = 24

Please help due tomorrow! Math

Answers

The seats in the theater follows the sequence given by:
7,9,11,..
This is an arithmetic sequence which follows an explicit formula given by:
an=a+(n-1)d
where:
a=first term
d=common difference
but
a=7 and d=9-7=2
thus
an=7+(n-1)2
an=7+2n-2
an=2n-5
Thus the number of seats in nth row is:
an=2n-5

Other Questions

A holding pen for cattle must be square and have a diagonal length of 84 84 meters.a. find the length of a side of the pen.b. find the area of the pen. Why could a diet low in carbohydrates be dangerous?A-The increased level of starches would provide excess energy.B-The body could break down proteins from muscles for energy.C-The increased level of fats could provide too many vitamins.D-The body could take in too much dietary fiber, which harms cells. In his second term reagan departed from anti soviet stance by The eye was cited by many as a "perfect" organ. how is the eye actually imperfect, and why are these imperfections important to understanding its evolution? QM Q4.) Find the solution set "forage use by one species does not affect forage use by another species" is the definition of:a. intraspecific competitionb. supplementarityc. interspecific competitiond. complementarity Who were the two sons of abraham that, according to the bible, went on to found the hebrew and arab nations? Why is it important for engineers to have good communication skills? Explain the U.S policy of neutrality before WWII Which pure substance will have the intermolecular force oh hydrogen bonding with itself When ursula retired from the local school district, she used her teaching skills in her volunteer position as a mentor to disadvantaged children. as a retiree, she is considered a(n):? TIMED, need the answer hepatitis A is virus that can contaminate through ready to eat food. which of the following is an example of a ready to eat food? Cave formation in which material accumulates from the ceiling. What is the volume of the cylinder below? What is the most likely cause of the change in population size in year 6 shown in the graph below? a. An increase in the amount of land available b. A decrease in the amount of land available c. A cold spring d. A hot summer A cartoon in the shape of a cube measuring 8 inches tall is filled with colored plastic cubes measuring 1 inch across each face. The cubes sell for 25cent each. How much would it cost to buy all of the cubes in the carton? Enter your answer in the box? The word used to describe a government controlled by religious leaders is Which plot element includes conflicts and challenges encountered by the characters? A. Rising action B. Climax C. Exposition D. Resolution You need to decide whether to fight a small fire using a portable fire extinguisher. Which situation indicates a small fire for which it may be appropriate to use a portable fire extinguisher?A.It is difficult to approach the fire because of the heat.B.Smoke is accumulating on the ceiling, but visibility is good.C.Special personal protective equipment is required.