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

can you HELP PLZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give 50

Answers

The product of 3542 and 8 using the partial product is 28,336

To create a partial product of the value using an array, we will follow the following steps

Draw an array or a box

Break the given integers into values that can be easily worked with. For instance, 3542 can be broken down into (3000+500+40+2)

Take the product as shown below;

[tex]3542\times8=(3000+500+40+2)\times 8\\3542\times8 = 3000(8) + 500(8) + 40(8) +2(8)\\3542\times8=24000+4000+320+16\\3542\times8=28000+336\\3542\times8=28,336[/tex]

Find the array box attached

Learn more on the partial product using array here: https://brainly.com/question/11612565

A line contains the point 4,5 slope of -2 what point is also on the line.

Answers

Answer:

Step-by-step explanation:

First solve the equation for the line: Use the Point Slope form of a line: (y−y1)=m(x−x1). (y−5)=23(x−(−4).

( Solving Linear Equations in One Variable )

What is the solution of the equation? Show your work.

1/4(2x + 1.2) = 3(0.7x + 3) - 5 1/2

Answers

Answer:

x=-2

Step-by-step explanation:

Simplify parentheses : 0.5x+0.3=2.1x+9-5.5

Combine like terms : 0.5x+0.3=2.1x+3.5

Isolate the variable : -1.6x=3.2

Divide by -1.6 on both sides : x=-2

Answer:

x=-2

Step-by-step explanation:

1/4(2x + 1.2) = 3(0.7x + 3) - 5 1/2

multiply both sides of the equation by 4 to get rid of the fraction 1/4

2x+1.2=12(0.7x+3)-4*5 1/2

distribute 12 into parenthesis

2x+1.2= 8.4x+36-4*5 1/2

multiply -4 with 5 1/2

2x+1.2=8.4x+36-22

subtract numbers

2x+1.2= 8.4x+14

move X's to one side and numbers to another

2x-8.4x=14-1.2

collect like terms

-6.4x=12.8

divide by -6.4 to get x

x= -2

Find the y-intercept and the vertex of y+-x^2+6x-8 using standard form

Answers

Answer:

-x^2+y+6x-8

hope this helps

!!please answer quickly and correctly!!

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting 55 large boxes and 70 small boxes. If the truck is carrying a total of 4300 pounds in boxes, how much does each type of box weigh?​

Answers

Large=40 pounds

small=30 pounds

and this is the solution

2 1/7:(15a)=5/14:(0.8)

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Aaron earned $57.35 selling some of his old video games. He bought another video game for $46.29. How much money, x, does Aaron have left?

Answers

Answer:

Aaron has $11.06 left over

A pot contains 3 1/3 cups of oatmeal.
How many 3/5 cup servings is this? How much will be left

Answers

Answer:

2 11/15

Step-by-step explanation:

Hope this helps please mark brainliest if I helped! Thanks


Cherries cost $4.35 per pound and onions cost $0.98 per pound. Lacey has $21.45 to spend. How many pounds of cherries can Lacey afford if she
has to buy 3 pounds of onions?

Answers

Answer:

Lacey could afford 4.25lb of cherries

Step-by-step explanation:

Cost of onions= 3 lb x 0.98/1=2.94

21.45-2.94=18.48$

1 lb=4.35

18.48 x 1lb of cherries/4.35=4.25lb of cherries.

Hope I helped please mark brainliest it means a lot to my progression and thanks! <3

Which quadratic function shows a y-intercept of 4 and a maximum value of 5

Answers

Answer:

The 4th graph

Step-by-step explanation:

To have a maximum value, your parabola would have to open downwards. So the first 2 are wrong. Since your y-intercept is positive 4, your graph would have to touch the y axis at 4. The 3rd graph is wrong since it touches the y-axis at a negative point. The correct answer would be the 4th answer choice.

y=2x-7
y=3x
can someone help solve for x and y

Answers

Put 3x in for y, so the equation will be 3x=2x-7. Then solve. once you find “x”, plug it back into one of the original equations. And then you have x and y

COS Find the quotient when the polynomial expression is divided by a binomial Find the quotient ANSWER SOLUTION CHOICES X2+11x+ 10) = (x+1) = Long Division Synthetic Division Answer: X2 + 5x + 1​

Answers

Answer:

x=−1 or x=−9

Step-by-step explanation:

x2+11x+10=x+1

Step 1: Subtract x+1 from both sides.

x2+11x+10−(x+1)=x+1−(x+1)

x2+10x+9=0

Step 2: Factor left side of equation.

(x+1)(x+9)=0

Step 3: Set factors equal to 0.

x+1=0 or x+9=0

x=−1 or x=−9

A 10 person swim team goes out to breakfast and orders 30
cinnamon rolls. If all members of the swim team came in for
breakfast, how many rolls would each person get?

(Please give me a variable and do it like this attachment photo shows!)

Answers

3

Step-by-step explanation:

30÷10 to know how many each person has.God loves you

witch rational number is between -11/15 and -5/6?
answers to chose from -1, -7/10, -4/5 and -13/15

Answers

Answer:

-4/5

Step-by-step explanation:

To find this we can look for the [tex]LCD[/tex] between all the numbers

Here are our [tex]LCD's[/tex] (Least Common Denominator)

-22/30 and -25/30

It wouldn't be -1 because it isn't in between those numbers

It isn't -7/10 because if we turn it into our [tex]LCD[/tex] it would be -21/30 which isn't in between those numbers

It is -4/5 because if we turn in into our [tex]LCD[/tex] it would be -24/30 which is between those numbers

This means we have our right answer we know our last one is incorrect

HELP! ILL TIVE BRAINLIST IF RIGHT!! Joe earns a percentage of his monthly sales. If his commission rate stays the same each month, how much does he need to sell in March to earn $200 more than he did in February? (Picture below)

$3000
$76
$3800
$900

Answers

Answer:

$3800

Step-by-step explanation:

If the ratio between sales and commission is 5:1, we can find that commission for February was 560. 560+200 is 760 and 760*5=3800

write 5 3/5 improper fraction

Answers

Answer:

28/5 is the answer.

Step-by-step explanation:

Multiply the denominator by the whole number

5 × 5 = 25 Then we add the answer from the last step to the numerator 25 + 3 = 28 next we write the answer from the last step over the denominator which is 28/5.

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{5\dfrac{3}{5}}\\\\\mathsf{= \dfrac{5\times5+3}{5}}\\\\\mathsf{= \dfrac{25 + 3}{5}}\\\\\mathsf{= \dfrac{28}{5}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{\dfrac{28}{5}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

What is cos(3π)? 1 0 –1 –2
whoever answers this is literally my hero

Answers

[tex]\cos 3\pi = \cos \pi =-1[/tex]

Answer:

It's C

Step-by-step explanation:

Help is very much appreciated thank you!!!

Answers

Answer:

2 <= x < 8

Step-by-step explanation:

2 is less than or equal to x and the symbol for that is <=

the least number should also be on the left side

8 is greater than x so the symbol is <

8 is the biggest number and goes on the right

p pennies added to 22 pennies

Answers

23 Pennie’s is the answer I believe

what is the difrence between domain and range

Answers

Answer:

Domain is the set of all possible input values is any relation. It means the output value in a function depends upon each member of domain. Domain value vary in different mathematical problems and depends upon the function for which is it solved. If we talk about cosine, then domain is the set of all possible real numbers either above the 0 value or below the 0 value, it could also be 0. While for square root, the domain value could not be less than 0, it should be minimum 0 or above 0. In other words, you can say that domain of square root is always 0 or positive value. For complex and real equations, the domain value is a subset of complex or real vector space. If we want to solve a partially differential equation for finding the value of domain, then your answer should lie within three dimensional space of Euclidean geometry.

Step-by-step explanation:

Find the slope of the line give the following point on the line:


(-1, -9) and (-5, 1)

Answers

Answer:

-8/3

Step-by-step explanation:

Does this represent a function?

Answers

Question:

Does this represent a function?

Explanation:

: Determine whether a relation represents a function.

:Find the value of a function.

: Determine whether a function is one to one.

:Use the vertical line test to identify functions.

:Graph the functions listed in the library functions.

Answer:

No

six times the difference of a number and three is -42 (write and equation and solve)

Answers

Here's ur perfect answer

Hello!

6(3-x)=-42

Use the Distributive Property:

18-6x=-42

-6x=-42-18 (move all the constants (numbers) to the right side, using the opposite operation)

-6x=-60

6x=60

Divide both sides by 6:

x=10

Hope it helps!

If you have any questions, feel free to ask in the comments! (:

~An excited gal

[tex]SparklingFlower[/tex]

In the equation log10? = 5, the value that could replace the "?" is​

Answers

Answer: 10000

The correct answer is 10000.

Four-Fifths of p added to the product of 6 and h as a expression

Answers

Answer:

4p/5 + 6h

Step-by-step explanation:

this is the answer

You are given right triangle that has a perimeter of 42.56m, a hypotenuse of 21.34m and a base length of 8.76m. Find the area of the right triangle.

Answers

Answer:

buuuuuuuuuuut butt

Step-by-step explanation:

There is a line that includes the point (-20, -7) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=1x+13

Step-by-step explanation:

we can plug in the two points into the slope-intercept formula

-7=-20(1)+b

solve for the right side

-7=-20+b

add 20 to both sides

13=b

plug the y intercept into the equation

y=1x+13

what is the decimal of 967.567

Answers

Answer:

I believe its 0.567 because its the decimal part of the whole number (i hope thats what you asked)

Answer:

567

967---------

1000

Step-by-step explanation:

multiply to remove 3 decimals

-64/8 do i divide ? what do i do

Answers

Answer:

-8

Step-by-step explanation:

-64/8 = -8................ .......

mark me brainliest plz if you are helped

Answer:

so you divide -64/8 like you would 64/8 and once you get your answer you just put a negative in front because a negative divided by a positive is a negative so your answer is -8

Step-by-step explanation:

x=1
y=−3x+10
What is the answer?

Answers

Answer:

7

Step-by-step explanation:

as x is 1

3x added 10 -3*1 add 10 -3 add 10 = 7 as it is is sign - and add the ans will be 7

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