If y varies jointly with x and z and y=40 when x=10 and z=9 find z when x =55 and y=105

Answers

Answer 1

Answer:

  z = 189/44

Step-by-step explanation:

The "varies jointly" relationship can be expressed by ...

  y = kxz

We can find k from the given values.

  40 = k(10)(9)

  40/90 = k = 4/9 . . . divide by the coefficient of k

Now we want to find z for given values of x and y. That can be found from ...

  y = (4/9)xz

  9y/(4x) = z . . . . . multiply by 9/(4x)

Filling in the new numbers, we have ...

  z = 9·105/(4·55)

  z = 4 13/44 = 189/44 ≈ 4.2954...(repeating 54)


Related Questions

Jackson is attending a lacrosse game that is halfway through the first quarter.
4) What fractional part of the game is left?
5) If 7 minutes of playing time have past, how many total minutes of playin
time are there in the game?
6) How many minutes of playing time are left in the game?

(I'll also need help on the shading for the fraction picture)

Answers

Answer:

4) 1/8

5) 56

6) 49

First shaded boxes = 4/7

Second shaded boxes = 1 out of 8 boxes are shaded = 1/8

Step-by-step explanation:

1/2x1/4=1/8

7X8=56

59-7=49

First shaded boxes = 4 out of 7 are shaded = 4/7

Second shaded boxes = 1 out of 8 boxes are shaded = 1/8

The fractional part of the game is left   [tex]\frac{7}{8}[/tex]  , total minutes of playing time 56 mins and playing time are left in the game is 49 mins .

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

According to the question

Jackson is attending a lacrosse game that is halfway through the first quarter

i.e,  Game played = [tex]\frac{1}{2} *\frac{1}{4}[/tex]

       Game played = [tex]\frac{1}{8}[/tex]  

a) fractional part of the game is left

Game left  = 1 -  [tex]\frac{1}{8}[/tex]  (treated complete game as 1 )

                 =    [tex]\frac{7}{8}[/tex]  

b)  If 7 minutes of playing time have past,  

i.e  [tex]\frac{1}{8}[/tex]  part of game is completed in 7 mins

therefore,

1 whole will complete in 7*8 = 56 mins

c) Minutes of playing time are left in the game

As,

total time to complete the game - game played time

=  56 -  7

= 49 mins

as in the fraction of shading question

a) [tex]\frac{4}{7 } is shaded[/tex]

b) [tex]\frac{1}{8}[/tex] is shaded

Hence , the fractional part of the game is left   [tex]\frac{7}{8}[/tex]  , total minutes of playing time 56 mins and playing time are left in the game is 49 mins .

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Why Taraaaaaaa >:C Can somebody please help me?

Answers

Answer:

4 hours

Step-by-step explanation:

3/5 of 8 hours

3/5 * 8 = 4.8 hours

Then she lost 1/6 of the 4.8 hours

4.8 * 1/6

.8

4.8 - .8 = 4

She got 4 hours of sleep

The answer is 4 hours of sleep

Multiply and simplify (x2)(x4)(x-5)

Answers

Answer:

(x45)

Step-by-step explanation:

(x2) (x4) (x-5)

(x8) (x-5)

(x45)

Look at the triangle:

What is the value of cos xº? (1 point)
A. 8÷17
B. 17 = 8
C. 15 = 17
D. 8 = 15​

Answers

Answer:

15/17

Step-by-step explanation:

You can calculate cosine by doing adjacent / hypotenuse so cos x° = 15/17.

What is the value of x to the nearest tenth? The figure is not drawn to scale.
5.4
6.3
11.2
x

Answers:
A. x=2.1
B. x=3.4
C. x=9.6
D. x=13.1

Answers

Answer:

we need picture

Step-by-step explanation:

probaby d tho

Consider the following function. F(x)=3/2+4 Using the given function, plot all the ordered pairs for the values in the domain below. (-8,-4,-2,0,2,4)

Answers

Answer:

zephyr

Step-by-step explanation:

ez i am god of thunder

Based on the function F(x) = x^4 - 3x^3+ x^2 +2 and the graph of G(X) below,
which of the following statements is true?

Answers

Answer:

Option A

Step-by-step explanation:

According to the graph it never crosses the x axis meaning that it has 0 roots beecasue roots is another word for x-values.

The graph shows the function f(x) = |x-hl + k. What is
the value of h?
h = -3.5
h=-1.5
h = 1.5
h = 3.5

Answers

the graph show

the value of h is 3.5

The value of h is -1.5.

The correct option is B.

What is Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have,

function f(x) = |x - h| + k and the vertex of function is (h, k).

Here, in this question,

the vertex of the point in the graph (-1.5, -3.5).

Thus, the value of h is -1.5.

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The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity at t = 8 by finding the derivative. 20 POINTS

Answers

Answer:   -3

Work Shown:

s(t) = -9 - 3t

s ' (t) = -3 ... apply the derivative

The position function is linear, so the derivative is constant. The slope of any straight line is the same regardless of where you are on it, so that's why the velocity is a single fixed number. Put another way, the slope of the line is exactly the velocity (since slope = rise/run = change in distance over change in time). It doesn't matter what the value of t is, the velocity will be -3

Answer:

Step-by-step explanation:

i am doing the SAME THING

Help plz help I need help

Answers

Answer:

Step-by-step explanation:

There is a 1/20 chance of getting a 1.

This is a 5% chance.

I would say it's highly unlikely.

If this helped, please mark brainliest :D

Answer:

highly unlikely

Step-by-step explanation:

It's certainly not impossible because there is a 1 on the board. However, the probability of landing on the 1 is 1/20 and since that number is really small, it is highly unlikely.

The volume of a soup can with height of 6 cm and diameter of 4.4 cm = ____________ cm3. Use 3.14 for pi.

Answers

Answer:

about 91.2 cm³

Step-by-step explanation:

Radius (r) = diameter / 2 = 4.4 / 2 = 2.2

Volume of cylinder = πr²h, we know π = 3.14, r = 2.2 and h = 6

V = 3.14 * 2.2² * 6 = 91.2

Answer:

91.2

Step-by-step explanation:

To find the volume you need to use the formula [tex]\pi r^2h[/tex]

When you substitute all of the numbers the answer will be 91.1856

On a trip, a car traveled 80 miles in an hour and a half, then was stopped in traffic for 30 minutes, then traveled 100 miles during the next 2 hours. What was the car's average speed in miles per hour for the 4-hour trip?

Answers

Answer:

45 mph

Step-by-step explanation:

help me plz i need help i need help

Answers

Answer:

the third one

Harrison ordered 6 cases of pickles for his restaurants. Each case contained p jars of pickles. Harrison delivered an equal number of jars to each of his 7 restaurants. Which expression represents the number of jars of pickles that each restaurant received? A. 6p-7 B. [tex]\frac{6p}{7}[/tex] C. 6p+7 D. 7(6+p) E. [tex]\frac{6}{7p}[/tex]

Answers

Answer:

B. 6p/7

Step-by-step explanation:

6p = the total amount of pickles

The problem says that he distributes them evenly to 7 restaurants, so that's dividing.

So your answer is 6p/7

Answer: b 6p/7

Step-by-step explanation: 6p = the total amount of pickles. The problem says that he distributes them evenly to 7 restaurants, so that's dividing. So your answer is 6p/7.

PLZ I WILL GIVE BRAINLIEST AND IT HAS 20 POINTS The volume of a cylinder is approximately 72 feet cubed. Which is the best approximation of the volume of a cone with the same base and height as the cylinder? 24 feet cubed 216 feet cubed 24 pi feet cubed 216 pi feet cubed

Answers

Answer:

24 feet cubed

Step-by-step explanation:

When comparing the volume formula for a cone and the volume formula for a cylinder, a cone is 1/3 of a cylinder. Therefore, divide 72 by 3 to get the volume of a cone with the same base and height. It would not be 24 pi feet cubed because 72 feet cubed is already multiplied by the pi.

Answer:

24 feet cubed

Step-by-step explanation:

Volume formula:

V cylinder = BhV cone = 1/3Bh

The ratio:

V cylinder / V cone = Bh ÷ 1/3BhV cylinder / V cone = 3 ÷ 1

Plugging in the value of cylinder to find the value of cone:

72 ÷ x = 3 ÷ 1x= 72 ÷ 3x= 24 ft³

24 feet cubed is the best estimate

If 20a-16=12(3-a), then a=?

a)5/8
b)13/8
c)21/16
d)5/2​

Answers

ANSWER: B. 13/8

STEP BY STEP THING:

20a−16=12(3−a)

20a−16=−12a+36

32a−16=36

32a=52

32a/32 = 52/32

a = 13/8

Answer:

13/8 or 1.625

Step-by-step explanation:

1)combine like terms 2)isolate the variable(a) to one side of the equation 3) use multiplicative or division properties  x=13/8 or 1.625

What properties must a quadrilateral possess in order for the quadrilateral to be classified as a.. trapezoid isosceles trapezoid

Answers

Answer:

Step-by-step explanation:

The typical isosceles trapezoid will have a uniform width, measured vertically, but two ends that are not square (not perpendicular to the x-axis.  The two sloping ends are congruent (their slopes have exactly the same slope.

The same could be said of an isosceles trapezoid that is vertical; the sloping ends have the same slope.

Answer:

2 parallel sides

2 non-parallel, congruent sides

Step-by-step explanation:

As any other quadrilateral, an isosceles trapezoid has 4 sides. 2 sides must be parallel. The other two sides cannot be parallel but must be congruent.

WILL MARK BRAINLIEST! The coefficients of the first three terms in the expansion of (x – y) 4 are a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5

Answers

Answer:

the answer is c

Step-by-step explanation:

when expanded the first three coefficients are 1 4 6

Answer:   CCCCCc

1,4 and 6

Step-by-step explanation:

The temperature at noon is -4 degrees Celsius. The temperature at 6:00pm is -12 degrees Celsius. What is the difference between the noon and the 6:00pm temperatures?

Answers

Answer: -8 degrees

Step-by-step explanation: 12-4 is 8 so the difference is -8

Select the correct answer from each drop down menu?

Answers

Answer:  Area of Fountain = 147/147.58

               Area of Circular path = 28.26

Step-by-step explanation:

formula for area of circle = pi x r^2

radius of fountain - [tex]\\ \sqrt{47} \\[/tex]

area= 22/7 x 47 (as [tex]\sqrt{47}[/tex] is squared)

=147

radius of circular path - [tex]\sqrt{56}[/tex]

area= 22/7 x 9 ( [tex]\sqrt{56}[/tex] is radius and [tex]\sqrt{47}[/tex] is of the fountain subtract them you'll get 9 )

=28.26

Pls, help my sister I will mark the brainliest! Very easy!



Write equivalent fractions of

2/3 5/6 1/4

Answers

Answer:

4/6

10/12

3/2

Step-by-step explanation:

2/3=2/3*2/2=4/6

5/6=5/6*2/2=10/12

1/4=1/4*3/3=3/12

You can multiply the fraction with any whole number to get the equivalent fraction of any fraction.

Hope this helps ;) ❤❤❤

4/6

10/12

3/2

Step-by-step explanation:

2/3=2/3*2/2=4/6

5/6=5/6*2/2=10/12

1/4=1/4*3/3=3/12

Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a

square pyramid and is covered in shiny gold foil.

3 in

How much gold foil did it take to cover the trophy, including the bottom?

inches

Answers

Answer:

45 square inches

Step-by-step explanation:

Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom

Total surface  =  surface area of the base square + area of 4 triangles

Calculate the surface area of the base square

surface area of the square =  s^2

where s= side length

s=3 in

The surface area of the base  =s^2

=3^2

= 9 square inches

The surface area of the side triangles

The area of the triangle = (1/2)* side length* slant height

Side length=3 in

Slant height=6 in

substituting the values,

The area of the triangle =1/2*3*6

= 18/2

= 9 square inches

There are 4 triangles

The area of 4 triangles  =  4 x 9  

= 36 square inches

Therefore,

Total surface  =  surface area of the base square + area of 4 triangles

=  9 + 36

= 45 square inches

Answer:

IT'S 216 TRUST ME!

Step-by-step explanation:

Rewrite the formula to determine the number of tickets they need to sell

Answers

Answer:

n = [tex]\frac{p}{(d-c)}[/tex]

Step-by-step explanation:

The goal is to solve for n meaning n needs to be by itself. In the current formula, n is multiplied by (d-c). Get n by itself by dividing both sides by (d-c).

two fifths of a number equals 564. what is the number

Answers

Answer:

1410

Step by step explanation:

2/5x=564

5/2*2/5x=564*5/2

x=1410

Proof: 2/5*1410=564

Hope it helps <3

Answer:

1410

Step-by-step explanation:

i neeed help i want help i will mark brainlisst if i can do that

Answers

Answer:

1/4

Step-by-step explanation:

there are 12 options, and only three are correct.  3/12 simplifies to 1/4

Answer:

1/4

Step-by-step explanation:

There are 12 possible outcomes

The ones that have a head and an even number are H2  H4   H6

P( head and even number) = head and even number/ total outcomes

                                             = 3/ 12

                                              =1/4

Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin.

Answers

Answer: Triangle with the three corner points at (0, 0)(4, -8)(-8, -8)

==================================================

Explanation:

Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise

A = (0,0)

B = (2,-4)

C = (-4,-4)

Dilating with a scale factor 2 means we multiply each coordinate of each point by the value 2

A = (0,0) becomes A' = (0,0). No change happens. This point is fixed

B = (2,-4) becomes B' = (4,-8). This point does move

C = (-4,-4) becomes C' = (-8,-8). This moves as well

So all you need to do from here is draw triangle A'B'C'.

-----------------

Side note: the lengths of triangle A'B'C' are twice as long as their counterparts on triangle ABC. Consequently, this means the perimeter of A'B'C' is twice as long as the perimeter of ABC. Also, triangle A'B'C's area is four times larger than the area of triangle ABC.

Triangle with the three corner points at

A' = (0,0). B' = (4,-8). C' = (-8,-8). what is Dilation?

Meaning of Dilation in Math. Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the objects. The result of this transformation is an image with the same shape as the original.

Given:

Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise

A = (0,0)

B = (2,-4)

C = (-4,-4)

Dilating with a scale factor 2

A = (0,0) --> A' = (0,0).

B = (2,-4) --> B' = (4,-8).

C = (-4,-4) --> C' = (-8,-8).

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If the trapezoid is reflected over the line segment BC, what will be the new coordinates of point A?

Answers

Answer:

(13,15)

Step-by-step explanation:

If the trapezoid were to be reflected over the line segment BC, the new coordinates of point A would be (13,15) as it moves to right 5 points from BC sides.

Answer:

(B) 13,15

Step-by-step explanation:

If we look at point A in relation to point B, we see that it's 5 units to the left and 3 units down from point B, therefore making it at (3,15). Now, if we reflect across line BC (which is a y-axis) then we change the X value, not the y value. If the line BC is located at X=8, then the X value will be 8+5, since point A is 5 units away from the line BC. The y value will stay the same because we are reflecting over only one axis. 8+5 = 13, and the y stays at 15, so the new point value of A would be (13,15).

Hope this helped!

Mr. Avogadro started with 5.14x10^22 atoms of Pa-234. Ten days later Mr. Avogadro calculated the original sample had only 6.43 X 10^21 atoms of Pa-234. What's the half life of Pa-234? PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

is 1

step by step explanation:

the answer is 1 hope this helped you!!!!:)

Perform the required operationson the following functions.
Given: f(x) = 3 - x; g(x) = -2x
Find g[f(x)]
2x-6
2x+3
-x-6

Answers

Answer:

2x-6

Step-by-step explanation:

g[f(x)]

g(3-x)

-2x(3-x)

2[tex]x^{2}[/tex]-6x

2x-6

The answer is 2x-6......

Can someone please help with this question below!! i’ll put question 18 in another post right now

Answers

Answer: B

Step-by-step explanation:

In an equilateral triangle, altitudes are also medians.  Thus, the bisect their vertex angles.

Hope it helps <3

I am pretty sure that the answer is B
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