x+3/2 + (x-1) = 4/5 ​

Answers

Answer 1

Answer:

x = [tex]\frac{3}{20}[/tex]

Step-by-step explanation:

Given

x + [tex]\frac{3}{2}[/tex] + (x - 1) = [tex]\frac{4}{5}[/tex]

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

10x + 15 + 10(x - 1) = 8

10x + 15 + 10x - 10 = 8

20x + 5 = 8 ( subtract 5 from both sides )

20x = 3 ( divide both sides by 20 )

x = [tex]\frac{3}{20}[/tex]

Answer 2

x + 3/2 + x - 1 = 4/5

Collect the same terms

x + x + 3/2 - 1 = 4/5

2x + 3/2 - 2/2 = 4/5

2x + (3 - 2)/2 = 4/5

2x + 1/2 = 4/5

2x + 0.5 = 0.8

Subtract both sides 0.5

2x + 0.5 - 0.5 = 0.8 - 0.5

2x + 0 = 0.3

2x = 3/10

Divide both sides by 2

2x ÷ 2 = ( 3/10 ) ÷ 2

x = 3/10 × 1/2

x = 3/20

_________________________________

Check :

3/20 + 3/2 + ( 3/20 - 1 ) = 4/5

3/20 + 30/20 + ( 3/20 - 20/20 ) = 4/5

(3 + 30)/20 + (3 - 20)/20 = 4/5

33/20 - 17/20 = 4/5

(33 - 17)/20 = 4/5

16/20 = 4/5

4 × 4 / 4 × 5 = 4/5

4/5 = 4/5

Thus we found the correct value of x .

And we're done...


Related Questions

Which of the following is an arithmetic sequence

Answers

Answer:

First one.

-3 is added to the previous term.

2,4,8,16,32B,3,6,9 etc this are arithmetic sequence

Which statement is an example of the symmetric property of congruence

Answers

9514 1404 393

Answer:

  B.

Step-by-step explanation:

The symmetric properties of equality and congruence let you swap sides of the equality/congruence symbol without changing the truth of the statement:

  A ≅ B   ⇔   B ≅ A

What is the value of x to the nearest tenth?
A) 3.3
B) 9.5
C) 8.0
D) 4.7

Answers

Answer:

D) 4.7

Step-by-step explanation:

this perpendicular connection with the circle center cuts this intersecting line in half, which is therefore on both sides of x 6.5 long.

I assume 16 is the diameter, so the radius is 8.

therefore, x is one side of the right-angled triangle of

radius

x

half of the intersecting line

Pythagoras

8² = x² + (6.5)²

64 = x² + 42.25

21.75 = x²

x = 4.7

anyone know the answer

Answers

Hello,

Answer D

[tex]\begin{array}{|c|c|}x&y\\--&-------------\\-1&-3*\sqrt{-1+1} =-3*0=0\\0&-3*\sqrt{0+1} =-3*1=-3\\3&-3*\sqrt{3+1} =-3*2=-6\\8&-3*\sqrt{8+1} =-3*3=-9\\15&-3*\sqrt{15+1} =-3*4=-12\\--&-------------\\\end{array}[/tex]

find the value of the expressions 3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2

Answers

Hi!

[tex]3x^3-2y^3-6x^2y^2+xy=\\\\=3\cdot(\frac{2}{3})^3-2\cdot(\frac{1}{2})^3-6\cdot(\frac{2}{3})^2\cdot(\frac{1}{2})^2+\frac{2}{3}\cdot\frac{1}{2}=\\\\=3\cdot\frac{8}{27}-2\cdot\frac{1}{8}-6\cdot\frac{4}{9}\cdot\frac{1}{4}+\frac{1}{3}=\\\\=\frac{8}{9}-\frac{1}{4}-\frac{2}{3}+\frac{1}{3}=\frac{8}{9}-\frac{1}{4}-\frac{1}{3}=\frac{32}{36}-\frac{9}{36}-\frac{12}{36}=\boxed{\frac{11}{36}}[/tex]

PLS HELP ASAP!

which of the follwing expressions is equvialent to:

*image below*

Answers

Answer:

A

Step-by-step explanation:

simplify equation A

then you will get same as the expression above

If given that the points on a line are L (8,4) and M (10. 14) and R is its midpoint on this, where is R on that line?​

Answers

Answer:

Step-by-step explanation:

The Midpoint formula is

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] where all of those x's and y's come from the coordinates of points L and M. Filling in:

[tex]M=(\frac{8+10}{2},\frac{4+14}{2}) =(\frac{18}{2}, \frac{18}{2})=(9,9)[/tex]

Determine the values of xfor which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001.(Enter your answer using interval notation. Round your answer to four decimal places.)

Answers

Answer:

The values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0

The explanation of the answer is now provided as follows:

Given:

f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0 …………….. (1)

[tex]R_{3}[/tex] = (x) = (e^z /4!)x^4

Since the aim is [tex]R_{3}[/tex](x) < 0.001, this implies that:

(e^z /4!)x^4 < 0.0001 ………………………………….. (2)

Multiply both sided of equation (2) by (1), we have:

e^4x^4 < 0.024 ……………………….......……………. (4)

Taking 4th root of both sided of equation (4), we have:

|xe^(z/4) < 0.3936 ……………………..........…………(5)

Dividing both sides of equation (5) by e^(z/4) gives us:

|x| < 0.3936 / e^(z/4) ……………….................…… (6)

In equation (6), when z > 0, e^(z/4) > 1. Therefore, we have:

|x| < 0.3936 -----> 0 < x < 0.3936

Therefore, the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.

Need help on this question asap pleasee

Answers

Answer:

option c is correct ,,,,,,

HI I really need help with this its in the picture

Answers

Answer:  24a^4 + 36a^3 + 12a^2

Explanation:

The blue rectangle has area of 4a^2*6a^2 = 24a^4

The red rectangle has area 4a^2*9a = 36a^3

The green rectangle has area 4a^2*3 = 12a^2

The total area is 24a^4 + 36a^3 + 12a^2

not a school-related question:
Best places to get ripped jeans or just skinny/curvy jeans

Answers

Answer: I gotta say forever 21, American eagle, rue21, and Aeropostale.

Step-by-step explanation:

can you help me with this question please?

Answers

Answer:

(1, -3)

Step-by-step explanation:

You can see where the two lines intersect - that's the solution.

5 (RootIndex 3 StartRoot x EndRoot) + 9 (RootIndex 3 StartRoot x EndRoot)

Answers

Answer:

C. 14 RootIndex 3 StartRoot x EndRoot)

Step-by-step explanation:

To obtain the sum ; the a clear explanation has been attached in the picture below ;

vedanta Excel In Opt. Mathematics - Book 9
Find the locus of a point which moves so that

(a) Its distance from (1, 2) and (2, -3) are equal.​

Answers

(1 , 2) (2, -3) (x1,y1) (x2, y2)

Distance formual √(x2-x1)+(y2-y1) {substitute numbers in formula}

= √(2-1)^+(-3-2)^ =√(1)^+(-5)^ [here square root and square get cancelled] = (1)+(-5) = 1-5 = -4
A point that is equidistant from two points will travel along the perpendicular bisector of the line that joins them.
The gradient of the line between (1,2) and (2,-3) is (-3 - 2)/(2 - 1) = -5
The perpendicular gradient = -1/-5 or 0.2
The midpoint between (1,2) and (2,-3) is ((1+2)/2,(2+-3)/2) = (1.5, -0.5)
Substituting into y=mx + c
-0.5 = 0.2 x 1.5 + c
-0.5 = 0.3 + c
c = -0.5 - 0.3 = -0.8
So the locus is the line y = 0.2x - 0.8

Here are two spinners.

6

2

spinner A

spinner B

bome

4

3

2.

4

The two arrows are spun and the score is obtained

by multiplying the two numbers.

1

spinner A

6

2

6

6

12 18

10 2030

4

3

spinner B

a) Complete the possibility space.

5

b) What is the probability of scoring a total of 6?

c) What is the probability of scoring a total greater than 10?

Answers

Answer:

2/9 ; 4/9

Step-by-step explanation:

______SPINNER A_____

_____ 2 ____ 4 _____ 6

1 ____ 2 _____4 _____6

3____ 6 _____12____ 18

5____10_____20____30

4 * 3 = 12 ; 5 * 2 = 10 ; 5 * 6 = 30

Probability of scoring a total of 6 :

From the sample space ; Number of 6's = 2

Total sample space = 9

Recall : probability = required outcome / Total possible outcomes

P(total of 6) = 2 / 9

P(total greater than 10) :

Required outcome ; > 10 = (12, 18, 20, 30) = 4

P(total > 10) = 4 / 9

Step-by-step explanation:

b) what is the probability of scoring a total of 6?

b) = 2/9

C) what is the probation scoring a total greater than 10

c)= 3/9

A field is 360 feet long and 160 feet wide. Sod can be purchased in squares in increments from 1 foot wide up to 7 feet wide. What is the largest size squares Steve can purchase with which he can cover the field completely without any gaps or overhangs?

Answers

Answer:

We need 1600 squares with a width of 6 feet to cover the entire field without any gaps nor overhangs.

Step-by-step explanation:

The number of squares required to cover the field is equal to the area of the field divided by the area of a square:

[tex]n = \frac{A}{l^{2}}[/tex] (1)

Where:

[tex]n[/tex] - Quantity of squares, in feet.

[tex]A[/tex] - Area of the field, in square feet.

[tex]l[/tex] - Length of each square, in feet.

If we know that [tex]A = 57600\,ft^{2}[/tex], then we have the following hyperbolic function:

[tex]n = \frac{57600}{l^{2}}[/tex]

Now we plot the function with the help of graphing tools, whose result is presented below. Please notice that quantity of squares must be an integer and we need 1600 squares with a width of 6 feet to cover the entire field without any gaps nor overhangs.

Help please!! 1. Solve the system of equations.
x + 5y = 3
3x - 2y = 6

Answers

Answer:

x = 9/2     y = 0

Step-by-step explanation:

2/3x + 5y = 3            5y = -2/3x + 3                y = -2/15x + 3/5

4/3x - 2(-2/15x + 3/5) = 6

4/3x + 4/15x - 6/5 = 6

8/5x - 6/5 = 6

8/5x = 36/5

x = 9/2

2/3(9/2) + 5y = 3

3 + 5y = 3

5y = 0

y = 0

the area of the room is 234 square feet. the length of the room is 18 feet. what is the width, in feet, of the room?

Answers

Answer:

13 feet

Step-by-step explanation:

the width = 234/18 = 13 feet

if$3=£2 and Rs. 325=$3, how many pound(£) will be equal to Rs. 39000​

Answers

Answer:

Rupees 39,000 are

378.63 Pound sterling

Find the value of x. Round to the nearest tenth.

Answers

Answer:

x = 7

Step-by-step explanation:

First we find out what we are using sin,cos, or tan then we plug in the numbers

Sin 26 x 16 = 7

7x-49=y

Solve for x?

Answers

7x - 49 = y
Add 49 to both sides
7x = y + 49
Diving both sides by 7
x =(y + 49)/7

The solution for x is x = (y + 49)/7.

Given that an equation 7x - 49 = y, we need to determine the equation in for of x,

To solve for x in the equation 7x - 49 = y, we'll isolate x on one side of the equation.

Here's the step-by-step process:

Start with the given equation: 7x - 49 = y.

Add 49 to both sides of the equation to isolate the term with x:

7x = y + 49.

Divide both sides of the equation by 7 to solve for x:

(7x)/7 = (y + 49)/7.

Simplify:

x = (y + 49)/7.

Therefore, the solution for x is x = (y + 49)/7.

Learn more about equation click;

https://brainly.com/question/29538993

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Dan invests £13000 into his bank account. He receives 4.7% per year simple interest. How much will Dan have after 6 years? Give your answer to the nearest penny where appropriate.

Answers

Step-by-step explanation:

SI = PxTxR/100

SI= (13000)(6)(4.7)/100

SI = 366600/100

SI= 3666

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

X=39.3

Step-by-step explanation:

Cos=adjacent/hypotenuse

Cosx=6.5/8.4

X=arccos(6.5/8.4)

X=39.3° rounded from 39.302°

PLZ HELP WILL GIVE BRAINLIEST
(sat prep) For the figure, which of the following is true?
I m∠1+m∠2=m∠6+m∠5 m
II∠1+m∠3=m∠6+m∠4
III m∠1+m∠3+ m∠6=m∠2+m∠4+m∠5
A I only
B I and II only
C II only
D II and III only

Answers

Thank the answer is B

What is the volume of this figure?

Answers

Answer:

276in³

Step-by-step explanation:

First, we can separate this into two separate rectangular prisms. We can add their volumes to get the total volume. I have separated the prisms by the light green lines, as shown in the picture.

For the top one, we have a length of 5 in , width of 3 in, and height of x in. We know that the total height is 10 in, and the bottom height is 6. The top difference is the difference of those two heights, or 10-6= 4 = x. Therefore, the volume of the top prism is 5 in* 3 in* 4 in = 60 in³

For the bottom prism, we have a length of 12 in, height of 6 in, and width of 3 in (this is the same, as the 3in from the top prism matches with the width of the of the bottom prism), making our volume 12 in * 6 in * 3 in = 216 in ³.

We can then add 216 in ³ and 60 in³ to get 276in³ as our total volume

If you like peanut butter and chocolate, then you will love Reese's.

What is the converse of the statement?

Answers

Answer:

Reese's love peanut butter and chocolate

hope it helps u

plz mark it as brainliest

will give BRAINLIEST ! plz help

Triangle ABC has A (-3, 6), B (2, 1), and C (9, 5) at its vertices.
The length of side AB is
A. (50)^1/2
B. (65)^1/2
C. (105)^1/2
D. (145)^1/2
units.
The length of side BC is
(one of the above options)
units.
The length of side AC is
(one of the above options)
units.
A. 55.21
B. 85.16
C. 105.26
D. 114.11

Answers

Answer:

AB= A. (50)^1/2

BC= B. (65)^1/2

AC= D. (145)^1/2

<ABC≈ 105

When 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4. Find the number.

Answers

Answer:

x=3

Step-by-step explanation:

Equation: 7x-8=3x+4

4x=12

x=3

Type your response in the box. Imagine that this graph represents the distance Brianna travels to get to her babysitting job with respect to time. Describe a relation that the graph may represent.

Answers

Answer:

Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.

Step-by-step explanation:

This answer is from Plato.

PLS HELP i just need the answer :,(((((

what is the equation of the quadratic graph with a focus of (5, −1) and a directrix of y = 1?

Answers

Answer:

check the picture below.

so the focus point is at 5, -1 and the directrix is above it, meaning is a vertical parabola, and is opening downwards, like in the picture.

keep in mind that the vertex is half-way between those two fellows, at a "p" distance from either, in this case 1 unit, since the parabola is opening downwards, "p" is negative then, or -1, and the vertex will be from 5, -1 up one unit, so 5,0.

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