If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?

Answers

Answer 1

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].

Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:

[tex](8-4)(2+3)=(4)(5)=20[/tex]

Hence, the maintained product is [tex]20[/tex].

Thus, we have the following equation:

[tex](x-4)(y+3)=20[/tex]

Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:

[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]


Related Questions

on monday 382 students went on a trip to the zoo. all 9 buses were filled and 4 students had to travel in cars. how many students were in each bus?

Answers

382 - 4 = 378
378/9 = 42
so there are 42 students on each bus

Answer:

42 students

Step-by-step explanation:

If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses.  Since there were 9 buses, 378 / 9 = 42.  Therefore, there were 42 students in each bus.

cos a/4= -1/4
cos a= ??

Answers

Answer:

cos a / 4 = -1/4

--->cos a =- 1          

         

                                                                 

What is 898995x10007766767

Answers

Answer: 8.9969323e+15

This is a weird question but the answer would be…


8.9969323e+ 15



Plz tell me if I wrong

You are making spaghetti for dinner. You have the choice of marinara, alfredo, or meat sauce, 4 different shaped noodles, and 2 kinds of cheese. How many different spaghetti dinners can you make?

Answers

Answer:

DCC

Step-by-step explanation:

CDDCDC

Different type of spaghetti dinners is 8

What is combination ?

"The number of possible arrangements in a collection of items where the order does not matter."

For 4 different shaped of noodles = ⁴c₁

                     

                                             ⁴c₁ = 4        

For two kinds of cheese = ²c₁

                                         ²c₁ = 2

Now , multiplying these  4×2 = 8

Hence, 8 type of spaghetti dinners

For more about combination

https://brainly.com/question/21306575

#SPJ2

The algebraic expression for The quotient of 86 and x

Answers

Answer: 86 ÷ x or 86 / x

Step-by-step explanation:

A quotient is a number that results when one number is divided by another.

Therefore, in order to get the quotient, numbers or terms should process division which the final answer would be quotient.

In the process, [÷ ] or [/] the division signs shall be applied.

The quotient of 86 and x represents 86 divided by x, which the final result would be [tex]\boxed {86/x}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

I believe the answer you are looking for is simply just 86÷x or 86/x.

Identify next three numbers in this sequence: 3, 12, 6, 24, 18, …
options :
27, 13.5, 22.5
72, 36, 144
72, 66, 264
27, 21, 30

Answers

72, 36, 144

its skip a number times 2 times two
then the number you skipped, times two to get the one after the next one then times 3 then so on.

Can someone pls explain how to do order of operations

Answers

Answer:

do you mean PEMDAS?

Step-by-step explanation:

parenthesis, exponents, multiplication, division, addition, and subtraction

you solve in order and go left to right

if you give an equation i can explain it better, but it's basically that

Step-by-step explanation:

1- solve operation in parantheses or brackets.

2- we solve any exponent

3- solve all multiplication and division left to right

what is the sum for the 20th row and the 50th row

Answers

Answer:

Step-by-step explanation:

lkj

What is the equatiqn of the line that passes through the point (-5, 4) and has a
slope of -3/5?

Answers

Answer:

y = -3/5x + 1

Step-by-step explanation:

We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and  b = y-intercept.

4 = -5(-3/5) + b

4 = 3 + b

1 = b

With the information we know, we can input the values into the formula once again.

y = -3/5x + 1

Best of Luck

i have no idea how to solve this help

Answers

Answer:

Length(L) = y

perimeter of square = 4L

since L = y

so perimeter of square is 4y

if LN=9x-39, LM=47, and MN=3x+10 find MN

Answers

Answer:

11

Step-by-step explanation:

ML+LN=MN solve for x

(47)+(9x-39)=(3x+10) = 1/3

x = 1/3

plug into MN

3(1/3)+10=11

how do I solve -2a = -24

Answers

Answer:

12

Step-by-step explanation:

you would divide -2 on both sides to isolate the variable a leaving you with 12

Answer:

12

Step-by-step explanation:

-2a= -24

or, a= -24/-2

:. a= 12

PLEASE HELP
Seven more than the quotient of a number and 5 is equal to 4.
Use the variable b for the unknown number.

Answers

Answer:

7 + b/5 = 4

OR

b/5 + 7 = 4

Step-by-step explanation:

also, b = -15

Preparing a glucose solution In a certain medical test
designed to measure carbohydrate tolerance, an adult
drinks 7 ounces of a 30% glucose solution. When the test is
administered to a child, the glucose concentration must be
decreased to 20%. How much 30% glucose solution and
how much water should be used to prepare 7 ounces of
20% glucose solution?

Answers

3.5 ounces hope this helps

multiply : (5x+3a) (5x-3a)​

Answers

(a+b)(a-b)=a²-b²

(5x+3a)(5x-3a)
=(5x)²-(3a)²
=25x²-9a²

Hope my answer helped u :)

Solve the following complex equation

18+22i=3x-2yi

Answers

Answer:

[tex]this \: a \: complex \: equation \: so \: compare \\ \: real \: term \: and \: imaginary \: term \\ so \\ 18 = 3x \: \: and \: 22i = - 2yi \\ x = \frac{18}{3} \: \: \: \: and \: y = \frac{22i}{ - 2i} \\ x = 6 \: \: \: y = - 11 \\ then \: 6 \times 3 - - 2 \times 11i \\ = 18 + 22i \\ thank \: you[/tex]

Write an expression that represents the perimeter of the rectangle
below. Write your answer in STANDARD FORM
5x + 2
2.x

Answers

Length=5x+2Breadth=2x

[tex]\\ \sf\longmapsto Area=Length(Breadth)

[tex]\\ \sf\longmapsto Area=(5x+2)2x[/tex]

[tex]\\ \sf\longmapsto Area=10x^2+4x[/tex]

Need help with this question. Will give brainliest for correct answer.

Answers

Answer: the second to last

Step-by-step explanation: because there’s no multipcation in the first box and if you look at the rest it wou make sense for it to be the second to last

If p is true and q is false, the p->q is ____
true.
never
always
sometimes

Answers

Answer:

never

Step-by-step explanation:

p->q means if p is true, then q must also be true

but since q is false, p->q is never true

Answer: Never

Explanation:

The notation p -> q refers to a conditional statement.

Conditionals are only false when the first part (p) is true while the second part (q) is false. In other words, the template true --> false ultimately leads to a false statement. Otherwise, the entire thing is true.

In our case, we have something that fits the "true -> false" template, so that's why p -> q is never true when p = true and q = false.

Find the 11th term of the arithmetic sequence
2x - 2, 5x – 9, 8x – 16,...

Answers

Answer:32x -72

Step-by-step explanation:

Look at image help plz!! Worth 30 points!

Answers

Answer:

t = Gx + a

Step-by-step explanation:

G = t - a/x             (Given)

G(x) = (t - a/x)x     (Multiply x on both sides)

Gx = t - a              (Simplify)

Gx + a = t - a + a  (Add a on both sides)

Gx + a = t             (Simplify)


What is the range of the function shown on the graph above?
A. -8 y -3
B. -8 y -3
C

Answers

Answer:

i got u c

Step-by-step eplanation:

Which property is 5+ a = a + 5 ?
Select one:
O a. Commutative Property of Addition
O b. Identity Property of Addition
O c. Commutative Property of Multiplication
O d. Inverse Property of Addition

Answers

Answer:

[tex]commutative \: property \: of \: addition \\ thank \: you[/tex]

Which expression has a value of 13?


(12+6)÷3+3

12+6÷(3+3)

12+(6÷3+3)

(12+6)÷(3+3)

Answers

Answer:

Option b 12+6÷(3+3)

Step-by-step explanation:

12+6÷(3+3)

= 12+6÷6

= 12+1

= 13

the degree of the polynomial -5 + 3x^6 + 2x^5 + 6x^3 is

Answers

Answer:

6

Step-by-step explanation:

As the highest power of x in the expression is 6, the degree is 6

Answer:

3x6+2x5+6x3−5

Standard Form

Step-by-step explanation:

HAVE A BLESS DAY :D

(3,-2)
– 2-

(1,0)
how many times am i moving ?

Answers

Answer:

Step-by-step explanation:


Which pair of transformations moves quadrilateral 1 to quadrilateral 2?

a:Reflect over the line y = -3, then rotate it 90 degrees counterclockwise about the origin

b:Reflect it over the x-axis, then rotate it 180 degrees about the origin

c:Rotate it 90 degrees counterclockwise about the point (-3, -3) then translate it 8 units to the right

d:Translate it 8 units to the right, then reflect it over the line y=-3

Answers

Answer:

Answer choices:

a. Reflection takes it to Q2, further rotation takes it back to Q3

Incorrect

b. Reflection takes it to Q2, rotation takes to Q4 with right shape.

Correct

c. Rotation takes is to Q4, translation keeps in same Q but with wrong shape

Incorrect

d. Translation takes it to Q4, reflection keeps it in same Q but with wrong shape

Incorrect
Reflect it over the x-axis, then rotate it 180 degrees about the origin

Because the shape is present in Q3

So reflection over x axis takes it to Q2

Then 180° rotation about origin takes it to Q4

Hence Option B is correct

Divide.

2.463÷104


24,630

0.2463

0.0002463

I don't know.

Answers

Answer:

0.023682692307692

Step-by-step explanation:

Above one is correct

Answer:

none of those answers are right the answer is 0.0236826923

Step-by-step explanation:

An interger p is two-third of another and their difference is 10.find the two interferes

Answers

Answer:

30 , 20

Step-by-step explanation:

Let the other number  = x

[tex]p = \dfrac{2}{3}x\\[/tex]

x - p = 10    

Plugin p = (2/3)x in this equation,

[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]

Multiply both side by 3

x = 10*3

x = 30

[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]

p = 20

Answer:

30 and 20

Step-by-step explanation:

We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so

p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )

3p - 2p = 30 , that is

p = 30

and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20

The 2 integers are 30 and 20

find the square of 20.​

Answers

Answer:

400

Step-by-step explanation:

[tex] {20}^{2} = 20 \times 20[/tex]

that is equal to 400

Answer: 400

Step by step explanation:

20*20= (2*2)*(10*10)= 4*100=400

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