X varies directly with y. If x is 24 when y is 36, find x when y is 132.
equation:_________
x=_________

Answers

Answer 1

Step-by-step explanation:

x = ky, where k is a real constant.

When y = 36, x = 24.

=> (24) = k(36), k = 2/3.

Hence x = (2/3)y.

When y = 132, x = (2/3)(132) = 88.

Answer 2

Answer:

see explanation

Step-by-step explanation:

Given x varies directly with y then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 24 when y = 36, then

36 = 24k ( divide both sides by 24 )

1.5 = k

y = 1.5x ← equation of variation

When y = 132, then

132 = 1.5x ( divide both sides by 1.5 )

x = 88


Related Questions

Plz answer this!⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️

Answers

Answer:

1/2 ÷ 3/10

1/2×10/3

5/3

1 2/3

1) option is correct

9514 1404 393

Answer:

  1)  1 2/3

Step-by-step explanation:

The model of choice 1 shows that 3/10 goes into 1/2 one and two-thirds times. That also happens to be the only model with the correct result.

  1/2 ÷ 3/10 = 5/10 ÷ 3/10 = 5/3 = 1 2/3

Please help me! Thank you so much!

Answers

Answer: It's (A) 12<X

Step-by-step explanation: I chose that one because the line highlighted on the number line, it's bigger than 12!

Complete the proof that AFGH isn't similar to AJIH.

Answers

Sides FH and HJ are not congruent

Find the slope of the line.
-1
3
-10
-11
12
4
3
2 0 1
9 10
The slope is
Turn

Answers

-1

Step-by-step explanation:

because looking at the graph it is negative, and it goes down one over one

The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to
triangle ABC?
(-3,1),(-3,5),(0,5)
(1,-2),(1,3),(4,3)
(6,-3),(1,-3),(6,1)
(1,3),(1,4),(5,1)

Answers

Answer:

Im pretty sure the answer is C because there is a side that is 3, a side that is 4, and a side that is 5

Step-by-step explanation:

Answer:

The answer is A or (-3,1),(-3,5),(0,5)

Step-by-step explanation:

I guessed on E d g e (2021) and got it right :)

The temperature is 8° Fahrenheit. If the weatherman predicts the
temperature will drop 12° within the next eight hours, what will the
temperature be?

Answers

Answer:

-4 degrees Farenheit

Step-by-step explanation:

8-12=-4

D(n) = \dfrac{5}{16} \left(2\right)^{n - 1}d(n)= 16 5 ​ (2) n−1 d, left parenthesis, n, right parenthesis, equals, start fraction, 5, divided by, 16, end fraction, left parenthesis, 2, right parenthesis, start superscript, n, minus, 1, end superscript What is the 5^\text{th}5 th 5, start superscript, start text, t, h, end text, end superscript term in the sequence?

Answers

Answer:

d(5) = 5

Step-by-step explanation:

The nth term is given by :

[tex]d(n)=\dfrac{5}{16}\times 2^{n-1}[/tex] ...(1)

We need to find the 5th term of the above sequence. For this, put n = 5 in the above formula.

[tex]d(5)=\dfrac{5}{16}\times 2^{5-1}\\\\=\dfrac{5}{16}\times 2^4\\\\=\dfrac{5}{16}\times 16\\\\=5[/tex]

So, the 5th term in the above sequence is 5.

Answer:

5

Step-by-step explanation

-18 > -2(2x + 9) - 4+x​

Answers

Answer:

x>-4/3 last answer i got i hope it is helpful have a nice day

what is the answer to the question?​

Answers

Answer:

120°

Step-by-step explanation:

m<ABD+m<DBC=m<ABC

61°+59°=120°

hope this helped!

Answer:

We conclude that the value of m∠ABC = 120°

Step-by-step explanation:

Given

m∠ABD = 61°

m ∠DBC = 59°

To Determine

m∠ABC = ?

It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.

Therefore,

m∠ABC = m∠ABD + m∠DBC

             = 61° + 59°            ∵ m∠ABD = 61°, m ∠DBC = 59°

             = 120°

Therefore, we conclude that the value of m∠ABC = 120°

Candice is playing an online trivia game. She has 75 points and earns 3 points for each correct answer. She will advance to the next round if her score is over 90 points which statement best describes how antibiotics are used?a75x + 3 > 90 b3x + 90 90 d3x + 75 < 90

Answers

Using a linear function, the statement that best describes when she advances to the next phase is: 75 + 3x > 90.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering that she already has 75 points, and earns 3 points for each correct answer, her score is modeled by the following function:

T = 75 + 3x.

She advances to the next phase if she scores over 90 points, hence the statement is:

T > 90

75 + 3x > 90.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

c.3x+75>90

Step-by-step explanation:

What is the rate of change of the following equation? y = -5/3x

Answers

Answer: -5/3

Step-by-step explanation:

In an equation y = mx + b, m is the value of the slope. The slope is the same as the rate of change. In this case, m = -5/3, thus the rate of change is -5/3.

What does this mean? Its REALLY important I get this right.​

Answers

The correct answer is Option A

[△SRT]

Answer:

[tex]\triangle{SRT}[/tex]

Step-by-step explanation:

You can eyeball this question and you can easily see that [tex]\angle{R}=\angle{M}[/tex] and [tex]\angle{S} = \angle{N}[/tex] so then the answer would be [tex]\triangle{SRT}[/tex]

pls help meeeeeeeeee

Answers

1. C 2.E 3.A 4.F 5.D 6.B
Question 2- 1.< 2.< 3.>= 4.< 5.>= 6.>

EMERGENCY, EMERGENCY, I WILL GIVE BRAINLIEST
[tex]\frac{1}{4} (2x^{2}-12) = 15[/tex]
Solve for x, do ur steps!!!!!!

Answers

first you must distribute the 1/4 to get
: 1/2x^2-3=15
then you have to add three to both sides so it become
: 1/2x^2=18
then divide by 1/2 to get
:x^2 =36
then take the square root to get a final answer of
:x=6

40 plus 40 minus 20 times 0 plus 3 plus 125 equals what

Answers

9514 1404 393

Answer:

  208

Step-by-step explanation:

The order of operations requires that the multiplication be done before addition or subtraction.

  40 + 40 - 20×0 + 3 + 125

  = 40 + 40 - 0 + 3 + 125

  = 80 - 0 + 3 + 125

  = 80 + 3 + 125

  = 83 + 125

  = 208

__

The calculator shown in the attachment can be relied upon to perform calculations according to the order of operations. (It adds parentheses to show the order in which it is doing the calculation.)

Answer:

208

40 plus 40 minus 20 times 0 plus 125 in written form:

40 + 40 - 20 × 0 + 3 + 125

In order to get our answer 208, we must do it step by step:

First, we need to put 40 plus 40 into an equation:

40 + 40 = 80

Now that we have 80, we need to find 20 times 0:

20 x 0 = 0

Since 20 times 0 equals 0, we can now add 80 plus 3:

80 + 3 = 83

Now what we have left is to add 83 plus 125 which will give us our answer:

83 + 125 = 208!

The answer will be 208.

            Hope this helps!

     ~Hocus Pocus

 

The equation 4 = p(l+r) can be used to calculate compound interest on a savings account. A = future balance
p= current balance, r= rate of interest, and t= time in years. If you deposit $2,000 at 10% each year, how much
money will be in your account in 10 years? (Round to the nearest dollar.)
A 2200
B. 4000
C. 4318
D. 5,187

Answers

I thin it’s c too pls

1/x+2=2/x-1 identify all values of X that make the equation true

Answers

9514 1404 393

Answer:

  as written: x = 1/3

  as maybe intended: x =  -5

Step-by-step explanation:

As written

  (1/x) +2 = (2/x) -1

  3 = 1/x . . . . . . . . . add 1-(1/x)

  x = 1/3

__

As maybe intended

  1/(x +2) = 2/(x -1)

  x -1 = 2(x +2) . . . . . . . multiply by (x+2)(x-1)

  x -1 = 2x +4 . . . . . . . . eliminate parentheses

  -5 = x . . . . . . . . . . . . . subtract (x+4)

X= 5 because use pedmas

Identify the initial amount and the growth rate of the following:
Y = 9.8 (1.35)^t

Answers

Assuming t is a time unit.
The initial amount is when t = 0, so it is 9.8 * 1 = 9.8. The growth rate is how much the amount goes up by for every increase of 1 in t. This is 1.35 because that is the part being affected by t. we plug in 0 for t to get 9.8 as the initial amount. The growth rate is just 135% factor, or 35% more each time, because 1.35 is the base of the exponent.

Solve the system of linear equations by graphing.
y=-42 +3
40 - 2y = 6

Answers

Answer:

its a i did it on egn

Step-by-step explanation:

A toddler section of a pool mesures 7 feet by 8 feet. What is area of the toddler section

Answers

Answer:

56 ft^2

Step-by-step explanation:

Solve each system using substitution or elimination. Show all required work. -10x^2+80x+y=155 5x^2-40x+y=-85

Answers

Answer:

[tex]x = 4[/tex]

[tex]y = -5[/tex]

Step-by-step explanation:

Given

[tex]-10x^2+80x+y=155[/tex]

[tex]5x^2-40x+y=-85[/tex]

Required

Solve by substitution

Make y the subject in [tex]5x^2-40x+y=-85[/tex]

[tex]5x^2-40x+y=-85[/tex]

[tex]y = -5x^2 + 40x - 85[/tex]

Substitute [tex]y = -5x^2 + 40x - 85[/tex] in the first equation

[tex]-10x^2+80x+y=155[/tex]

[tex]-10x^2 + 80x -5x^2 + 40x - 85 = 155[/tex]

Collect Like Terms

[tex]-5x^2-10x^2 + 80x + 40x - 85 - 155=0[/tex]

[tex]-15x^2 + 120x-240=0[/tex]

Divide through by -15

[tex]x^2 -8x + 16 = 0[/tex]

[tex]x^2 - 4x - 4x + 16 = 0[/tex]

[tex]x(x - 4) - 4(x - 4) = 0[/tex]

[tex](x - 4)(x - 4) = 0[/tex]

[tex]x - 4\ = 0[/tex] or [tex]x - 4\ = 0[/tex]

[tex]x = 4[/tex] or [tex]x = 4[/tex]

[tex]x = 4[/tex]

Substitute 4 for x in [tex]y = -5x^2 + 40x - 85[/tex]

[tex]y = -5(4)^2 + 40 * 4 - 85[/tex]

[tex]y = -5*16 + 40 * 4 - 85[/tex]

[tex]y = -80 + 160 - 85[/tex]

[tex]y = -5[/tex]

I need help thank you.

Answers

Answer:

x ≤ 1

Step-by-step explanation:

The graph goes in the left direction, meaning the inequality needs to be less than.

The point is at the point positive 1 and has a shaded dot, meaning the inequality needs to be less than or equal to 1.

Answer:

B

Step-by-step explanation:

x ≤ 1

As thee circle at 1 is filled,you have to include 1 also

I need to know this ASAP please! What is 2/3x + 1/3x?

Answers

Answer:

x

Step-by-step explanation:

2/3x+1/3x=x

Answer:

1

Step-by-step explanation:

2/3x + 1/3x

2+1/3x

3/3x

=x

one x value is 1

5. Which expression is equivalent to x2 - 17 x - 60?

Answers

15x-60
this is the answer

Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11

Answers

The answer is B y= 11x-7

Answer:

its b

Step-by-step explanation:

i need points  sorry

How to do this question -14=k-4

Answers

Answer: hope this helps .

Step-by-step explanation:

its all in the picture

Answers

Answer:

6

Step-by-step explanation:

..............................

Answer:

f(- 3) = 6

Step-by-step explanation:

f(- 3) means what is the value of f(x) when x = - 3

Locate x = - 3 on the x- axis

Then go vertically up to meet the graph at (- 3, 6 )

The value of f(- 3) is therefore 6, that is

f(- 3) = 6

simplify the expression 3 √ 2 - 5 √ 18​

Answers

−12√2
(mark brainliest if correct plss)

Select the correct answer.
What is the standard form of this complex number?
3i + ( + 2i ) – (3 + 3i)

Answers

Answer:

[tex]\huge\boxed{A.\ -\dfrac{9}{4}+2i}[/tex]

Step-by-step explanation:

The standard form of a complex number:

[tex]z=a+bi\\\\a,\ b\in\mathbb{R}[/tex]

[tex]3i+\left(\dfrac{3}{4}+2i\right)-(3+3i)=3i+\dfrac{3}{4}+2i-3-3i\\\\=\left(\dfrac{3}{4}-3\right)+(3+2-3)i=-2\dfrac{1}{4}+2i=-\dfrac{9}{4}+2i[/tex]

What value of x makes the equation true?
3(4x-5)-4x+1=-6
Please show work

Answers

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3(4x - 5) - 4x + 1 = -6

Step 2: Solve for x

Distribute 3:                    12x - 15 - 4x + 1 = -6Combine like terms:       8x - 14 = -6Isolate x term:                 8x = 8Isolate x:                          x = 1

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3(4(1) - 5) - 4(1) + 1 = -6Multiply:                               3(4 - 5) - 4 + 1 = -6Subtract:                              3(-1) - 4 + 1 = -6Multiply:                               -3 - 4 + 1 = -6Subtract:                              -7 + 1 = -6Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = 1 is the solution to the equation.

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