y varies jointly as x and z. If y = 12 when x = 4 and z = 3, find y when x = 9 and z = 8.

Answers

Answer 1

Answer:

y = 72

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 = 12 when x = 4 and z = 3

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

1 = k

y = xz ← equation of variation

When x = 9 and z = 8 , then

y = 9 × 8 = 72


Related Questions

Which expression is equivalent to 1/2(4x+8)? Answer choices: A. x + 4 B. 2x+4 C. 2x+8 D. 4x+4. Please provide explanation as well!

Answers

Just distribute the 1/2
So it would be 1/2 x 4x = 2x
Then 1/2 x 8 = 4
Combine them: 2x+4

pls help asap! i will mark brainliest!

Answers

Answer:

19 or 17

Step-by-step explanation:

3 2/9 x -1 5/7 make an improper fraction, multiply, then make it a simplified mixed number.

Answers

Answer:

-145/63

Step-by-step explanation:

What is the measurement of this angle?

Answers

The measurement of all angles is 180, so just subtract the other two angles from 180

180 - 59 - 67 = 54 degrees

Answer:

54°

Step-by-step explanation:

All the angle measures of a triangle must add up to equal 180°. So,

59°+67°+x°=180°

x=54°

7/9 - 2/8 x 49 in simplest form

Answers

Answer:

7/9 - 2/8 x 49

First, according to BODMAS we will solve multiplication7/9 - 2/8 x 49 = 7/9 - 49/4= -61/12

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

When playing a game of capture the flag how would a player best position themselves from being tagged and placed in the jail?

On their own team's side of the center line
On their opponent's side of the field, nearest the flags
Near the center line so they can move back and forth between the two sides
Near the back corner of the opponents flag area

Answers

Answer:

Near the center line so they can move back and forth between the two sides

Step-by-step explanation:

A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.

Answers

Answer:

Step-by-step explanation:

a)

p

(

red marbles

)

=

6

6

+

8

p

(

red marble

)

=

3

7

b)

p

(

o

d

d

n

u

m

b

e

r

s

)

=

3

+

4

6

+

8

p

(

o

d

d

n

u

m

b

e

r

s

)

=

1

2

c)

p

(

red marbles or odd numbers

)

=

p

(

red marbles

)

+

p

(

odd numbers

)

p

(

red marbles and odd numbers

)

p

(

red marbles or odd numbers

)

=

6

14

+

7

14

3

14

p

(

red marbles or odd numbers

)

=

10

14

d)

p

(

Blue marbles or even number

)

=

p

(

Blue marbles

)

+

p

(

even numbers

)

p

(

blue marbles and even numbers

)

p

(

Blue marbles

)

=

8

14

p

(

even numbers

)

=

7

14

p

(

Blue marbles or even number

)

=

8

14

+

7

14

4

14

p

(

Blue marbles or even number

)

=

11

14

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What is Probability in Math? - Definition & Overview

from

Chapter 24 / Lesson 7

49K

The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.

Related to this Question

Related AnswersRelated LessonsRelated Courses  

Consider the experiment of drawing two cards...  

Listed below is a table that gives the two-way...

Randomly select one student from these 500...

In a box, there are 18 red, 14 blue, and 16...

Which expression shows the distance on the number line between −7 and 16?

∣∣−7+16∣∣

∣∣−7−16∣∣

∣∣−16−(−7)∣∣

∣∣7−16∣∣

Answers

The expression will be d

Answer:

c

Step-by-step explanation:

Hope this helps

Brainliest pls

Have a great day!

0.125 ultiply by 1000

Answers

Answer:

125 is answer .........:)

I need help...........

Answers

Answer:

D. 62 1/4 inches

Step-by-step explanation:

Convert 3 1/2 to 3 2/4 so the denominator is 4. Then add that to 58 3/4 inches and you get 62 1/4.

Hope this helps!

Please help me with this!! - Solve: 5 - 2x < 7

A) x < -1

B) x > -1

C) x < -12

D) x > -12

Answers

Answer:

B

Step-by-step explanation:

B. -1

Flip the 5 over to the other side making it a negative so -2x<-5+7. we the flip the sign because the inequality is a negative so -2x>-5+7. We now have to get rid of the negative 2 by dividing -2 from -5+7. That would give us our answer x>-1

4. What are deductions?

A.)the amount of money added to the gross pay for commission-based sales

B.)the amount of money included with tips

C.)the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

D.)incentives employees earn for the amount sold

Answers

Answer:

C.) the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

Step-by-step explanation:

Answer:

the answer is C.) the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

Jaycee and Tyler are selling candy bars for a school fundraiser. Rylee sold 84 candy bars and raised 210$. If Jaycee raised 70$ how many candy bars did he sell?

Answers

Answer:

28 bars because 84/3 = 28

Step-by-step explanation:

what is the common denominator 4/15 and 1/3? Need answers ASAP​

Answers

Answer:

15

Step-by-step explanation:

To find the common denominator we look for the LCM

15: 15,30,45,60

3: 3,6,9,12,15

Our LCM is 15

Meaning our LCD is 15

Brainliest please :)

Suppose that Juan can choose to get home from work by car or bus.




When he chooses to get home by car, he arrives home after 7 p.m. 14 percent of the time.

When he chooses to get home by bus, he arrives home after 7 p.m. 62 percent of the time.

Because the bus is cheaper, he uses the bus 83 percent of the time.



What is the approximate probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.?

Answers

Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Arrived home after 7 p.m.Event B: Got home by bus.

The percentages associated with arriving home after 7 p.m. are:

14% of 17%(by car).62% of 83%(by bus).

Hence:

[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]

The probability of both arriving home after 7 p.m. and using bus is:

[tex]P(A \cap B) = 0.62(0.83)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]

0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

You can learn more about conditional probability at https://brainly.com/question/14398287

Four friends went to dinner. They each ordered a meal and decided to split the final bill evenly between them. They left a tip of $12. The final cost of the meal and tip was $74.00. what was the price each person paid for their meal before tip?

AGAIN BE SERIOUS THIS IS DUE TOMORROW

Answers

$74 - $12 = $62
62 divided by 4 = $15.5 each
$15.50 is the answer, you subtract the tip and divide by 4

Natalie walked 35 mile in 12 hour. How fast did she walk, in miles per hour?

a. 3/10 mile per hour

b. 5/6 mile per hour

c. 1 1/5 miles per hour

d. 2 miles per hour

Answers

Answer:

almost 3 mph so I'm guessing (d) is the answer

Step-by-step explanation:

35  ÷ 12 = 2.9 miles per hour

Help PLSS Thanks ………………….

Answers

Answer:

3rd option

Step-by-step explanation:

Given z is inversely proportional to (y - 2)² then the equation relating them is

z = [tex]\frac{k}{(y-2)^2}[/tex] ← k is the constant of proportion

To find k use the condition when y = 5, z = 9 , then

9 = [tex]\frac{k}{(5-2)^2}[/tex] = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

81 = k

z = [tex]\frac{81}{(y-2)^2}[/tex] ← equation of proportion

Try 3rd one that’s the best one on there

Work out the mean for the data set below:
3.4, 5.2, 4.7, 3.5, 0.5
Give your answer as a decimal.

Answers

Answer:

3.4 + 5.2 + 4.7 + 3.5 + 0.5

= 17.3

There are a total of 5 numbers

17.3 / 5

= 3.46

Help would be much appreciated! :)​

Answers

Answer:

[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}[/tex]

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Expanding

Algebra II

Polynomial Division

Long DivisionSynthetic Division

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}[/tex]

Step 2: Long Division

See attachment.

Multiply quotient a and divisor, then subtract from dividend:                      [tex]\displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}[/tex]Multiply quotient b and divisor, then subtract from new dividend:              [tex]\displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}[/tex]Multiply quotient c and divisor, then subtract from new dividend:              [tex]\displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}[/tex]Write remainder:                                                                                               [tex]\displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}[/tex]

Please excuse the bad handwriting.

A rectangle has an area of 888 square centimeters.
Which of the following could be the rectangle's length and width?

Answers

Answer:

i think 222 for eatch side

Step-by-step explanation:

Alexa is y years old. Nate is 22 years old, and Alexa is one-half Nate's age Which equation shows an equality between two different ways of expressing Nate's age? OA) 22 = 2y OB) 22 = 2 + y OC) 22==y - 22 OD 22 = y2​

Answers

Answer:

A. is the correct answer

Step-by-step explanation:

Stay safe.

Explain how to apply the substitution property of equality to the equation
a
+
42
=
b
if
a
=

16
and
b
=
26
.

Answers

Answer: Substitute the values given. The equation is a + 42 = b. Since a = -16 and b = 26, the equation will become -16 + 42 = 26. This equation holds true so it is correct.

Would appreciate brainliest <3

each of the 17 gorillas at the nature preserve eats 45 pounds a food a day. write an expression that models the amount of food all of the gorillas eat in a day. then evaluate the expression to find how much food they eat

Answers

Answer:17x 45=765 pounds

Step-by-step explanation:

All you have to do is multiply.

If each gorilla eats 45 pounds then you multiply amount of gorilla by pounds of food , in this case 17x 45

Easy way to do decimal multiplication.

Answers

Answer:

first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Step-by-step explanation:

what is the answer because i need help with it
Josh will take 10 test in 5 weeks at school how many test will he have taken after 7 weeks

Answers

Answer:14

Step-by-step explanation:

He takes 2 a week so 2 times 7 is 14

Which of the following is the difference of two squares

4g-16h
16a^2-4y^2
2x^2-4y^2
25m^3+100n^2

Answers

Answer:

2nd option

Step-by-step explanation:

A difference of squares has the general form

a² - b²

where the terms on either side of the subtraction ( the difference ) are both perfect squares.

The only one fitting this description is

16a² - 4y²

= (4a)² - (2y)² ← difference of squares

What is the greatest common factor of 15, 35, and 10?

Answers

Answer: The GCF of 10, 15, and 35 is 5.

Would appreciate brainliest <3

Answer:

5.

Step-by-step explanation:

First, we write them in prime factor form, then pick out the common factors.

15 = 3*5

35 = 5*7

10 = 2*5

So the GCF is 5.

What is an equation of the line that passes through the points (6,-3) and (-6,-5)

Answers

Answer:

y = 6x - 4

Step-by-step explanation:

I drew a graph slope formula is (y2 - y1)/(x2 - x1) and if the line passes through a point that is not zero (in this case it does) we add or subtract that as the y-intercept. we recently passed this so I know it.

Slope-intercept form: (y = mx + b) y = 6x - 4

Standard form: (Ax + By = C) -6x + y = -4

Point-slope form: (y - y1 = m (x - x1)) (let's use the point (6, -3)) y + 3 = 6 (x - 6)

Tell me if I'm wrong :)

Answer:

Step-by-step explanation:

Bu using the formula of Two-Points form:

[tex]\frac{y-y_{1} }{y_{2}-y_{1} } =\frac{x-x_{1} }{x_{2}-x_{1} }[/tex]

Substitute the points in the above equation:

y+3/-5+3=x-6/-6-6

y+3/-2=x-6/-12

-12(y+3)=-2(x-6)

-12y-24=-2x+6

2x-12y-24-6=0

2x-12y-30=0

Or

x-6y-15=0

If you need to ask any question,let me know.

Cristian comió un 3/8 de pizza y Adriana comió 1/4 de la misma pizza. ¿Quién comió mas?

Answers

Cristian! Si ocupas el resultado es 0.375 (el de cristian)
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