Suppose y varies jointly as x and z. What is y when x = 2 and z = 3, if y = 20 when x = 4 and z = 3?

Answers

Answer 1

Answer:

y = 10

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 20 when x = 4 and z = 3 , then

20 = k × 4 × 3 = 12k ( divide both sides by 12 )

[tex]\frac{20}{12}[/tex] = k , that is

k = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] xz ← equation of variation

When x = 2 and z = 3 , then

y = [tex]\frac{5}{3}[/tex] × 2 × 3 = 5 ×  2 = 10


Related Questions

What is 2(-2) raised to the power of 3 - 6x?

Answers

Answer: -2 * (3x + 8)

Would appreciate brainly <3

Approximate 23 by following the steps below.
V23 must lie between the whole numbers
and
You must answer all questions above in order to submit.

Answers

Answer:

4 and 5

Step-by-step explanation:

Well, 23 is less than 25, which is 5^2. Moreover, its more than 16, or 4^2

solve the equation 5(3x-1)=4(3x-2)

Answers

Answer:

x=-1

Step-by-step explanation:

15x-5=12x-8 Simplify Parentheses

3x=-3 Isolate the variable

x=-1 Divide by 3 on both sides

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

Our equation is

[tex]5\left(3x-1\right)=4\left(3x-2\right)[/tex]

First, we distribute

Now we have

[tex]15x-5=12x-8[/tex]

Subtract [tex]12x[/tex] from both sides

[tex]3x-5=-8[/tex]

add [tex]5[/tex] to both sides

[tex]3x=-3\\[/tex]

Divide both sides by 3

[tex]x=-1[/tex]

Brainliest please

find the highest common factor of 9, 12 and 15​

Answers

Hello there! :)

The highest common factor of 9, 12, and 15 is 3.

To find the HCF (also called the GCF) of two or more numbers, we list their factors:

9: 1, 3, 9

12: 1, 2, 3, 4, 6, 12

15: 1, 3, 5, 15

Can you see that 3 is their GCF?

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

HURRY I NEED IT FOR 3rd GRADE MATH

Whats 73 + 82

Answers

Answer:

155

Step-by-step explanation:

Answer: 155

Step-by-step explanation:

73

+82

155

The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 0.57. What is the probability that it will rain on at least four of the
seven days they are there? Round your answer to the nearest thousandth.

Answers

Answer:

  0.650

Step-by-step explanation:

The probability of rain on 4 or more days is the sum of the probabilities of rain on 4, 5, 6, and 7 of the days.

The probability of rain on 4 days is ...

  7C4×(0.57)^4×(1 -0.57)^(7-4) ≈ 0.29375

On 5 days, it is ...

  7C5×(0.57^5)(0.43^2) ≈ 0.23363

On 6 days, it is ...

  7C6×(0.57^6)(0.43^1) ≈ 0.10323

And on all 7 days, it is ...

  0.57^7 ≈ 0.01955

The sum of these probabilities is ...

  P(≥4) = 0.29375 +0.23363 +0.10323 +0.01955 = 0.65016

The probability of rain on 4 or more days is about 0.650.

A plane flies 510 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 720 kilometers from Elgin to Canton (Canton is due west of Naples). Find the bearing of the flight from Elgin to Canton. (Round to the nearest whole number.)

Answers

Answer:

#carryonlearning

Step-by-step explanation:

#carryonlearning

Help me please!
Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.

Complete the table below showing the length of the fence and the cost.

Answers

Answer:

?

Step-by-step explanation:

i did this problem before.......hmmmmmmmmmmmmm...

hello guys I need help, the things in parenthesis is just me talking) Your friend writes 0.86 as a percent. 0.86 = 00.86=0.0086% 86 Is your friend correct? (picked no) Explain your reason ( I don't know how to explain it)​

Answers

Answer:

0.86 as a percent is 86%.

Step-by-step explanation:

Have a great rest of your day

#Nova

P.S

give the braineist to the other person pls

50 POINTS!!

Write an
equation for the circle with centre (0,0), if (12,5) lies on its circumference

Answers

Answer:

x² + y² = 169

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

Given (12, 5 ) lies on the circumference , then the point will satisfy the equation.

Substitute (12, 5 ) into the equation

12² + 5² = r²

144 + 25 = r²

169 = r²

Then equation of circle is

x² + y² = 169

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

The width is 21 centimeters.

Answer:

the answer is 21 cm

Step-by-step explanation:

as doing by formulae

Is the system of equations consistent and independent,
consistent and dependent, or inconsistent?
y= -1/2x +3
y= 4x + 2
Select the correct answer from the drop-down menu.
Choose

Answers

Answer:

Consistent and independent

Step-by-step explanation:

If two lines intersect, then the following things are true.

1. they have different slopes.

2. one solution.

3. The system of equation is consistent and independent

The age structure of a population is often represented by a pyramid. What does an age structure pyramid with a broad base and a narrow top indicate about a population

Answers

Answer:

The shape of the pyramid does not provide information on population growth


Classify the polynomial: x5 + x3

Answers

Answer:

It is a 5th-degree polynomial

Step-by-step explanation:

Looking at the expression, we can see that x⁵ is the term with the highest degree, so we call the expression a 5th-degree polynomial.

A circle has circumference 200π feet. What is the radius of the circle? please explainn​

Answers

Answer: 100 feet

Step-by-step explanation: Circumference is found using the formula C = 2πr. We can also use C = πd because diameter is two times the radius. Now that we know this, we can see that the diameter in your problem is 200 which means the radius is 200/2 or 100 feet. Hope this helps!

Would appreciate brainly <3

Twice a number diminished by seven

A) 7x - 2
B) 2x + 7
C)2x - 7
D) 7x + 2

PLZ HELP IM NOT SURE WITH MY ANSWER π-π​

Answers

Answer:

2x-7

Step-by-step explanation:

let the no be X

twice the no =2X

diminished by 7= 2X-7

Answer:

C)2x - 7..................

plss help, it’s pretty easy tho

Answers

Answer:

B

Step-by-step explanation:

please full calculation

Answers

a = -5
b = -3
c = 1
d = 3

Reasoning A store sells packages of comic books with a poster. A poster and 8 comics cost $14.75. A poster and 16 comics cost $22.75. Write a linear function rule that models the cost y of a package containing any number x of comic books. Suppose another store sells a similar package, modeled by a linear function rule with initial value $5.50. Use pencil and paper. Explain which store has the better deal.
The linear function rule is y=​

Answers

647474 is the answer it’s for sure right i had the same problem

For a Brainlist please help me out
+ give accurate explanation

Answers

Answer:

A:Tina's. B: Gabby's

Step-by-step explanation:

Luckly the two people are using the same unit to measure both time (in weeks) and height (in inches), so no conversion needed.

At this point, let's start dealing with the questions.

A. They bought the plants at week 0.

For Tina, we calculate [tex]f(0) = 0+1.5 = 1.5[/tex]

For Gabby, we scout the table till we find week 0 and check the corrisponing value: it's (0; 1) Since 1 is smaller than 0, at start Tina plant was taller.

B. The easiest way would be to stare at Gabby's table for a bit, and notice that each increase is 2 more than the previous, and the progression starts at 1. We can write it as an equation as [tex]g(x) = 2x+1[/tex]. If you confront with Tina's growth, you can tell that Gabby's plant grows twice as fast - the slope is double. Else, you can see that even just after one week, Tina's plant will be 2.5 in tall, while Gabby's outgrew hers already. That's possible only if the plant is growing faster.

how do you simplify 2.7 x 6

Answers

Answer:

16.2

Step-by-step explanation:

Jared has four pieces of rope that are each 12.75 feet long. How many feet of rope does he have in total?

51 feet
50.8 feet
16.75 feet
12.79 feet

Answer=51 Feet

Answers

I am pretty sure the answer is-51 Feet

It costs $22 to enter an amusement park and $0.50 to ride a ride. You have $23. Write an equation that represents the number r of rides you can ride.

Answers

Answer:

21.50 + 0.25r = 22.25

Step-by-step explanation:

Thats ur equationnn

which one is the same to 0.6 . 1/6 , 6% , 3/5 , 60% or 6/100

Answers

3/5 and 60% are both equivalent to 0.6

what is the x intercept

Answers

Answer:

The answer is B

Translate the phrase into an algebraic expression.
The product of 6 and c

Answers

Answer:

c x 6 = x

Product judy basically means multiplication.

What is the value of x?

Answers

Answer:

x = 9

Step-by-step explanation:

PLEASE HELP i will give brainliest no links​

Answers

Answer:

y=5x

Step-by-step explanation:

y=ax

use any value of x and y from the table

I chose (2,10)

10=2a

10/2=a

a=5

Select the correct answer.
What is the vertex of the function f(x) = |x + 7| − 3?

Answers

the vertex is at (-7,-3)

Pls Help! Will Mark Brainliest!!!

Answers

Step-by-step explanation:

it is a bit unclear to me how the cups are stacked on each other.

are we building a pyramid or is it really just one line of cups stacked into each other ? the equation suggests the latter. so, I will continue with that assumption.

then each additional cup really adds only the height of the rim to the total height of the cup tower.

so, we want to find out for what smallest x is the equation delivering as y value 32,400 or more.

32,400 = 2.4x + 13.6

let's get rid of the decimals by multiplying everything by 10.

324,000 = 24x + 136

323,864 = 24x

x = 323,864/24 = 13,494.33333...

so, we need 13,495 cups to reach its height (just rounding it to 13,494 would still leave a tiny gap, so we need the 13,495th cup - there is no way to reach the height exactly).

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