What is one-fifth of a number, x, increased by 24 is equal to eight tenths of the same number, x.

Answers

Answer 1

Answer:

x = 40

Step-by-step explanation:

(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x

0.2x + 24 = 0.8x

0.2x - 0.2x + 24 = 0.8x - 0.2x

24 = 0.6x

0.6x = 24

0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]

x = 40

Answer 2

Answer:

x=40

Step-by-step explanation:

1/5x+24=8/10x

give like denominators

2/10x+24=8/10x

subtract 2/10x on both sides

24=6/10x

divide 24 by 6/10, or multiply by 10/6

x=240/6

refine/simplify

x=40


Related Questions

Elise is standing on top of a 48 foot building, and her height to her eye is 5.1 feet. Elise sees her friend, Molly standing on the ground. If Molly is 29.6 feet away from the base of the building and you wanted to find the angle of depression from Elise's eyes to Molly's feet, please write the final form of the equation you would use to determine the angle of depression.
Intitial set up equation:

Final equation (\angle∠ of depression = )

Answers

Answer:

Drip is the only answer

Step-by-step explanation:

Hey can someone please help me with this?
I can’t exactly figure it out.
Thank you in advance.

Answers

Answer:

three heads - 1/8

exactly two tails - 3/8

first two tosses are heads - 1/4

at least two tails - 1/2

Step-by-step explanation:

8 Possible outcomes

hhh, hht, hth, htt, ttt, tth, thh, tht,

three heads - 1/8

exactly two tails - 3/8

first two tosses are heads - 2/8=1/4

at least two tails - 4/8=1/2

How many seconds are there in
January?

Answers

Answer: 2,678,400

Step-by-step explanation:

There are 31 days in January and 2,678,400 seconds

A rectangular shelf with an area equal to x^2-16x+60 square units could have which possible dimensions for length and width

Answers

Answer:

Step-by-step explanation:

x²-16x+60

=x²-6x-10x+60

=x(x-6)-10(x-6)

=(x-6)(x-10)

so dimensions are x-6 and x-10.

A certain car depreciates at
a rate of 14% per year. If the
purchase price of the car is
$26,000, what will the value
of the car be in 6 years?

Answers

It will be worth $10,518.75

Will give brainliest for correct answer

Answers

Answer:

3

Step-by-step explanation:


I’m begging for someone to help me with this so bad it about in order largest to small et) (NO LINKS) (NO LYING) IT MUST BE THa. PART 3

Answers

Answer:

1) AM, MY, AY

2) GY, GQ, QY

3) QM, QG, MG

4) YX, YG, XG

Step-by-step explanation:

In triangles, the shortest side is always the side that is directly across from the smallest angle while the longest side is always the side that is directly across from the largest angle.

Using this concept, we can answer the questions;

1) Largest side = AM

Smallest side = AY

Arranging from largest to smallest side;

AM, MY, AY

2) Largest side = GY

Shortest side = QY

Arranging from largest to smallest side;

GY, GQ, QY

3) Largest side = QM

Shortest side = MG

Arranging from largest to smallest side;

QM, QG, MG

4) Largest side = YX

Smallest side = XG

Arranging from largest to smallest side;

YX, YG, XG

If the radius of a circle is 2.6 inches, what is the diameter of the circle?

Answers

Answer:

5.2

Step-by-step explanation:

radius is half the diameter

Answer:

5.2in

Step-by-step explanation:

Find the product. Simplify.
(x + 7)(x + 4) =

Answers

Answer:

Hi! The answer to your question is [tex]x^{2}[/tex]+11x+28

Step-by-step explanation:Answer:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!

- Brooklynn Deka

12 6 12 24
Select one:

A. 240 square units
B. 252 square units
C. 180 square units
D. 216 square units​

Answers

Answer:

B

Step-by-step explanation:

divide the given polygon into two (a square and a trapeziumarea of trapezium=1/2(a+b)×b 1/2(12+6)×12 ans 108square unitarea of a square=s×s 12×12 =144square unitadd 108+144=252square unit

I am completely lost someone help!:)

Answers

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Given

The above triangles

Required

Find x

The two triangles are similar. So we make use of the following equivalent ratios, to solve for x

[tex]XZ : ZY = JL : LK[/tex]

Replace each side with their measurements

[tex]13 : 10 = x : 20[/tex]

Express as fraction

[tex]\frac{13}{10} = \frac{x}{20}[/tex]

Solve for x

[tex]x = \frac{13}{10} * 20[/tex]

[tex]x = 1.3 * 20[/tex]

[tex]x = 26[/tex]

F(x)=x^2. what is g(x)? point given is (4,1)
a. g(x)=(1/4x)^2
b. g(x)=4x^2
c. g(x)=1/4x^2
d. g(x)=(1/2x)^2

Answers

Answer:

It is (a)

[tex]g(x) = ( { \frac{1}{4} x})^{2} [/tex]

Step-by-step explanation:

I hope that is useful for you :)

None of the given options are correct.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

The point (4,1) is on the graph of the function f(x) = x^2. That means f(4) = 1.

We want to find the equation of a new function g(x) that satisfies the condition g(4) = 1.

One possible equation for g(x) that meets this condition is:

g(x) = a(x - 4)² + 1

where a is some constant that we need to determine.

Since the graph of g(x) is a parabola, we know that it has the form y = ax^2 + bx + c. We can use the point (4,1) to find a:

g(4) = a(4 - 4)² + 1 = 1

Simplifying this equation, we get:

a = 0

Therefore, the equation for g(x) is:

g(x) = 1

So the correct answer is (none of the above), because none of the given choices matches this result.

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I need help figuring out the input and output and I have been struggling with it so muchh!!

Answers

Answer:

4=4

5=9

Step-by-step explanation:

1. Explain why it makes sense to call the following expression a “perfect
square." *
x2 + 20x + 100

Answers

Answer:

because all sides are equal

The expression is a perfect square of (x+10)².

What is perfect square?

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25.

Given that the expression, x² + 20x + 100,

So, writing the expression as expanded form,

x·x + 2·10·x + 10·10

x² + 2·10·x + 10²

We see it is in the form of a² + 2ab + b²,

We know that, a² + 2ab + b² = (a+b)²

So,

x² + 2·10·x + 10² = (x+10)²

Hence the expression is a perfect square of (x+10)².

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Ms. DeVoto and Mr. Kim share a birthday, but Mr. Kim is 7 years older. If Ms. DeVoto is D years old, write an expression to show how old Mr. Kim is.

Answers

Answer:

D+7=K

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Convert Standard Form to Factored Form (SHOW
ALL WORK) (LT 5.6)
j(x)=x²+7X-18

Answers

Answer:

j(x)=a(x+9)(x-2)

j(x)=1(x+9)(x-2) < final answer

pls help!!

What is the equation of a line that is parallel to the line 4x + y = 8 and has a y-intercept of 12?
A. x + 3y = 2
B. 4x + y = 12
C. 12x + y = 8
D. x - 4y = -48

Answers

Answer:

B. 4x+y=12

Step-by-step explanation:

You can either graph them or solve each one for x then identify the one with an equal slope and y-intercept of 12.

ye I need some help, please

Answers

Answer:

(1,0) (2,1) (4,4)

y<x+1 (for the dashed line)

y≥-2x+2 (for the solid line)

Step-by-step explanation:

Find the value of x.

Answers

answer: x=66
explanation: x+(x-20)+(2x+10)+(x+40)=360
5x+30=360
5x=330
x=66

Which ratio is equivalent to 7:3?


A. 21: 7

B. 28 : 12

C. 12 : 8

D. 49:9

Answers

Answer:

The answer is B.

Step-by-step explanation:

7x4 is 28 which means you have to multiply 3x4. That gives you 12. 28:12 is the proper ratio. (Hope this helped!)

Answer:

b.28/12

Step-by-step explanation:

name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.

Answers

ABC, CBA, 1, B

the angle is obtuse

Explain please answer

Answers

Answer:

69.08

Step-by-step explanation:

2×3.14=6.28

6.28×11=69.08

5x^{2}-44x+120=-30+11x i am confuseddddd

Answers

Answer: x=6  x=5

Step-by-step explanation:

Answer:

take hints and don't be confused on such question

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

Answers

Answer:

he would have a 2/5 chance because he misses or hit three so he would either miss two or hit two according to the chart

Step-by-step explanation:

sry if I'm wrong but it would be one of the most valid answers

Answer:

3/10

Step-by-step explanation:

#2, 7 and 8 are the valid 3 goal trials out of 10

Pls help:( me on this

Answers

Answer:

D

Step-by-step explanation:

Root square of 3 is 1.732, the root square of Pi is 1.77, the root square of 8 is 2.82 and the estimated value of Pi itself is 3.14.

A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7x^2-420x+81,610. How many cars must be made to minimize the unit cost? Do not round your answer.

Answers

Answer:

300 cars must be made to minimize the unit cost

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

The cost of producing x cars is given by:

[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]

So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]

How many cars must be made to minimize the unit cost?

This is the xvalue of the vertex. So

[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]

300 cars must be made to minimize the unit cost

What is the equation of the graph below?
y = sec(x) + 2
y = csc(x) + 2
y = csc(x + 2)
y = sec(x + 2)

Answers

Answer:

y = csc(x) + 2

Step-by-step explanation:

The equation for the given graph is y = csc(x) + 2

What is an equation of a graph?

'In graph theory, Graph equations are equations in which the unknowns are graphs. One of the central questions of graph theory concerns the notion of isomorphism. The graphs are expressed differently in terms of graph equations.'

According to the given problem,

We know, periodicity of a.csc( bx + c ) + d = [tex]\frac{periodicity of cscx}{[b]}[/tex]

The periodicity of csc(x) is 2π,

                                                                       ⇒ [tex]\frac{2\pi }{1}[/tex]

                                                                       = 2π

Hence, we can conclude, the equation y = csc(x) + 2 represents the given graph.

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سا
What are the coordinates of A' (A prime) after translating the figure 3 units right and 7 units down?

Answers

I’m pretty sure the answer is -4,-5

Help please & thank you , need it asap

Answers

Answer:

x = 180 - 30 - 41 - 67 = 42°

You need to do l x w = h divided by 2.

can someone please explain how to do this? ​

Answers

Answer:

14)

tan θ = BC/AC = 9/13θ = arctan (9/13)θ = 34.7°

15)

cos 45° = 14/xx = 14 / cos 45°x = 19.8
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