The first of three numbers is one-third the value of second number. The second number is 5 less than the third number. If twice the third number is 5 less than the second number, which of the following equations could be used to find the value of the first number, if the first number is represented by x?

Answers

Answer 1

Answer: [tex]2(3x+5)=3x-2[/tex]  , required equation.

Step-by-step explanation:

As per given we have,

First number = [tex]\dfrac13[/tex] of second number.    (i)

Second number = Third number - 5   (ii)

2 (third number)= Second number - 5   (iii)

Put  x= first number in (i).

so, [tex]x=\dfrac13[/tex] of second number.

⇒ second number =[tex]3\times x=3x[/tex]

From (ii)

[tex]3x=[/tex] Third number - 5

⇒ Third number =[tex]3x+5[/tex]

From (iii)

[tex]2(3x+5)=3x-2[/tex]  , required equation.


Related Questions

What is the value of x (7x-1) (6x-1) now

Answers

Answer:

42

Step-by-step explanation:

Its impossible tto calculate x there.

But i can simply the expression for you...

42x²-13x+1

3) g(x) = 3x - 5
f(x) = x² +3
Find g(x) + f(x)
A) x2 + 3x - 2
C) x² - 4x + 6
B) x² – 3x - 2
D) -x - x + 1

Answers

Answer:

C. X²-4X+6

MY ANSWER(not sure)

Frank can mow lawns at a constant rate of 6/5 lawns per hour. How many lawns can Frank mow in 50 hours?

Answers

Answer:

60 lawns

Step-by-step explanation

6/5 lawns per hour times 50 hours = 60 lawns.

rate x time

For what value of x is the given parallelogram a rhombus?

Answers

Answer:

[tex]\sf x = 6[/tex]

solving steps:

[tex]\sf in \ a \ rhombus \ the \ opposite \ angles \ are \ equal[/tex]

[tex]\hookrightarrow \sf 7x + 4 = 9x - 8[/tex]

[tex]\hookrightarrow \sf 7x -9x = - 8-4[/tex]

[tex]\hookrightarrow \sf -2x = - 12[/tex]

[tex]\hookrightarrow \sf x = 6[/tex]

subtract 4 1/2 - 2 1/5?

Answers

Answer:

2.3 (decimal form)

Step-by-step explanation:

Convert 4 1/2 and 2 1/5 into improper fractions.

4 1/2 -> 9/2, 2 1/5 -> 11/5

Then you subtract, find the LCD (Least Common Denominator) and then you can combine.

Decimal form of answer: 2.3

Exact form of answer: 23/10

Mixed number form: 2 3/10

Any of those work! ⬆

in decimal form 2.3 !!!!!

For the function defined here, find

Answers

Answer:

f(0) = 2f(1) = 3f(2) = -2

Step-by-step explanation:

The function value is the y-coordinate of the point having the given x-value.

f(0) = 2f(1) = 3f(2) = -2

what is 44:20 = ?:5 ?

Answers

Answer:

11:5

Step-by-step explanation:

[tex]44:20[/tex]

Cancel common factor : 4

[tex]44 \div 4 = 11 \\ 20 \div 4 = 5 \\ 11:5[/tex]

The ratios are 44:20=11:5

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The given ratios are  44:20 = ?:5

we have to find the number in question mark place.

Let question mark be taken as x.

The ratios can be written in the form of fraction

44/20=x/5

Apply cross multiplication

44×5=20x

220=20x

Divide both sides by 20

x=220/20

x=11

Hence, the ratios are 44:20=11:5

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Angle θ forms a reference angle that is below the positive x axis (in quadrant IV). What will be the signs on the sine and cosine of angle θ?

Answers

Answer:

sin(θ) is negative, cos(θ) is positive

Step-by-step explanation:

Cosine corresponds to the x-coordinate within the unit circle, sine corresponds to the y-coordinate. In quadrant I, they are both positive, in quadrant II, x is negative whilst y is positive, and you would just continue by how they correspond as show in the unit circle, therefore, in quadrant IV, x is positive, y is negative.

How can i use scatter plots to analyze two sets of data?

Answers

Step-by-step explanation:

A Scatter Analysis is used when you need to compare two data sets against each other to see if there is a relationship. Scatter plots are a way of visualizing the relationship; by plotting the data points you get a scattering of points on a graph.

Find the slope of -5x+4Y=-16

Answers

Given parameters:

 Find the slope of the line;

                         -5x + 4y  =  -16

To find the slope of this line, we must express it in linear form according to the equation below;

                        y  = mx + c

Where x and y are the coordinates

                m is the slope

                c is the intercept

 Now let us write the given equation in this form;

                      -5x + 4y  =  -16

                    Take add +5x to both sides;

                    -5x + 4y + 5x  = 5x - 16

                              4y  = 5x - 16

  Now, divide through by 4;

                         [tex]\frac{4y}{4}[/tex]   = [tex]\frac{5x}{4}[/tex]  - [tex]\frac{16}{4}[/tex]

                        y  = [tex]\frac{5x}{4} - 4[/tex]

So the slope of the line is [tex]\frac{5}{4}[/tex]

An angle measures 70° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Step-by-step explanation:

Let an angle = x

x= 70+(90-x)

x= 160-x

2x=160

x=80

So angle is 80 and it's complementary angle would be 10

Answer:

55∘ and 125∘

Step-by-step explanation:

Supplementary angles sum to

180∘

let one angle be [tex]x[/tex]

then the other angle is [tex]x+70[/tex]

summing the 2 angles gives

[tex]x+x+7=180[/tex]

[tex]2x+70=180[/tex]

subtract 70 from both sides

[tex]2x=180 -70=110[/tex]

divide both sides by

[tex]2x=\frac{110}{2} =55[/tex]

thus the angles are

55∘ and  55 + 70= 125∘

what are the x- and y- intercepts for the graph of 3x + y = 15?

Answers

X intercept is (5,0)
Y intercept is (0, 15)

Answer:

X intercept=(5,0) and Y intercept=(0,15)

Step-by-step explanation:

3x + y = 15

to find the x int, sub in 0 for y and solve for x

3x + 0 = 15

3x = 15

x = 15/3

x = 5....so the x int is (5,0)

to find the y int, sub in 0 for x and solve for y

3(0) + y = 15

y = 15....so the y int is (0,15)

A sports analyst determines that the number of points
scored in a basketball game is related to the number of
shots taken during the game. The least-squares
regression line is V = 5.0 + 1.2x, where y is the predicted
number of points scored and x is the number of shots
taken.
In one game, a team takes 50 shots and the residual is
10. How many points were scored by this team in this
game?
O 45
O 55
O 65
O 75

Answers

Answer:55

Step-by-step explanation:

i had that question in my test

Answer:

the person above me is correct!

Step-by-step explanation:

HELP! 7-10 I need help with.​

Answers

9514 1404 393

Answer:

  7. odd angles, 143°; even angles, 37°

  8. odd angles, 159°; even angles, 21°

  9. even angles, 34°; odd angles, 146°

  10. even angles, 29°, odd angles, 151°

Step-by-step explanation:

Angles 1 and 3 are vertical angles, so are congruent. The same can be said of angles 2 and 4. Each odd-numbered angle is supplementary to each even-numbered angle.

__

7. m∠1 = m∠3 = 143°, m∠2 = m∠4 = 180° -143° = 37°

8. m∠1 = m∠3 = 159°, m∠2 = m∠4 = 180° -159° = 21°

9. m∠2 = m∠4 = 34°, m∠1 = m∠3 = 180° -34° = 146°

10. m∠2 = m∠4 = 29°, m∠1 = m∠3 = 180° -29° = 151°

The factor tree below provides the factors of 18.
18
N.
2
9
3
3
What is the prime factorization of 18?
2 x 3
2 x 9
2 x 3x3
02x3x9

Answers

The prime factors of 18 are 2 times 3 times 3 or you can write it as 2 times 3 squared, this is because and 2 and 3 are both prime numbers

Answer: it is (c)

i hope this helped :)

What method would you choose to solve the
equation 2x- - 7 = 9? Explain why you chose this
method.

Answers

Answer:

2x2 - 7 = 9

Step-by-step explanation:

The factoring method can be chosen to solve the equation 2x2 - 7 = 9. It is one of the easiest methods as we can isolate the variable by factoring out the GCF and obtaining the values.

Hope it helps!!!brainliest pls!!!

A cylinder has radius 9 inches and height 15 inches. A cone has the same radius and height

Find the volume of the cylinder
Find the volume of the cone
What fraction of the cylinder's volume is the cone's volume?

Answers

Answer:

See below

Step by step explanation:

Step-by-step explanation:

For cylinder:

r = 9 inches

h = 15 inches

[tex]V_{cylinder}=\pi r^2 h[/tex]

[tex]\implies V_{cylinder}=3.14 (9)^2 (15)[/tex]

[tex]\implies\huge\purple{ V_{cylinder}=3,815.1\:inch^3}[/tex]

[tex]V_{cone}=\frac{1}{3} V_{cylinder}[/tex]

[tex]\implies V_{cone}=\frac{1}{3}\times 3,815.1[/tex]

[tex]\implies \huge\orange{V_{cone}=1,271.7\: inch^3}[/tex]

Cone's volume is one third of the cylinder's volume.

What is the area of the region in the first quadrant bounded on the left by the graph of x=y^2/2 and on the right by the graph of x=3y−4 for 2≤y≤4 ?

Answers

The area of the region is -2/3 square units

The area bounded by the region

Since the region is bounded on the left by x = y²/2 and on the right by x = 3y - 4 for 2 ≤ y ≤ 4, the area of the region is given by

[tex]A = \int\limits^4_2 {\frac{y^{2}}{2} } \, dy - \int\limits^4_2 {(3y - 4)} \, dy \\[/tex]

Integrating, we have

A = [y³/6]₂⁴ - [3y²/2 - 4y]₂⁴

A = [4³/6 - 2³/6] - [3(4)²/2 - 4(4) - {3(2)²/2 - 4(2)]}]

A = [64/6 - 8/6] - [3(16)/2 - 16 - {3(4)/2 - 8]}]

A = [64/6 - 8/6] - [3(16)/2 - 16 - {3(4)/2 - 8]}]

A = [64/6 - 8/6] - [3(8) - 16 - {3(2) - 8]}]

A = [(64 - 8)/6] - [3(8) - 16 - {3(2) - 8]}]

A = [56/6] - [24 - 16 - {6 - 8}]

A = [56/6] - [8 - {-2}]

A = [56/6] - [8 + 2]

A = [56/6] - [10]

A = 56/6 - 10

Taking the L.C.M, we have

A = (56 - 10 × 6)/6

A = (56 - 60)/6

A = -4/6

A = -2/3 square units

So, the area of the region is -2/3 square units

Find the graph in the attachment

Learn more about area bounded by region here:

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The function f is defined by f(x)=x-2 . Find f(z-5) .

Answers

f(z-5)=z-5-2

f(z-5)=z-9

The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first base throws the ball to a player at third base, what is the distance the player has to throw? 90 feet is first base 90 feet at third base

Answers

Answer:

ta side from one base to next has  length of x. so we know each side has length x and  the shape they make is a square. This means we are only searching for the diagonal of a square. remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using  pythagoream theorem we can say

a^2 + b^2 = c^2 all side lengths are x so we can put x in for a and b  to get

x^2 + x^2 = c^2

2x^2 = c^2

c = x * squareroot(2)

so if the length between bases is 90 ft

c = 90 ft * squareroot(2)

c = 127.28 ft

Step-by-step explanation:

Answer: C 16,200 squared

Step-by-step explanation:

GIVING EXTRAS POINTS AND BRAINLIEST

Answers

Answer:

p<6

Step-by-step explanation:

this basically means she can buy 6 pounds or less

Answer:

p<7

Step-by-step explanation:

Which one is it?
A, B, C, or D?

Answers

Answer: I'd go with C

Step-by-step explanation:

Question 1 OT TU
A clothing store sells T-shirts, t, for $8 a shirt, shorts, s, for $12, and hats, h, for
$10 each. The store earned $464 revenue last month. The store sold three
times as many T-shirts than hats, and twice as many shorts as hats. Using the
substitution method, how many T-shirts, shorts, and hats did the store sell?
A. t=84; s = 12; h = 10
B. t = 24; s = 8; h= 16
C. t= 8; s = 16; h = 24
D. t = 24; s = 16; h=8
SUBMIT

Answers

The answer is c
Have a good day !!!!!

Sarah wants to know if there is a difference in the time it takes her to run the high trestle trail from Madrid to Woodward based on the type of her running shoes her Hokas or her Asics.

Answers

Asics for plato userssssssssss

(7-2i)(-2-4i)
show all work

Answers

Answer:

Step-by-step explanation:

-14 - 28i + 4i + 28i^2

-14 - 24i + 28(-1)

-14 - 24i - 28

-42 - 24i

10 is 1/10 of



what is it?

Answers

100 hope this helps because 10 goes in 10 times

2. Change from dog/cat to tails/heads. DDC = TTH CDC = __________ DCD = __________ CCD = __________ DDD = __________ CCC = __________ DCC = __________ CDD = __________

Answers

Answer:

2. Change from dog/cat to tails/heads.DDC = TTH  CDC = HTH DCD = THT     CCD = HHT DDD = TTT CCC = HHH DCC = THH CDD = HTT

Find the slant height of this square pyramid Round to the neatest 10th

Answers

Answer: 21.9

Step-by-step explanation:

-Use Pythagoras theorem-

To find hypotenuse: square root 15 squared plus 16 squared

= 21.9

Help me out I’m also at done!!!

Answers

Answer: 68

Step-by-step explanation:

(7-(-1))^2+(-2)^2

8^2+4

68

Answer:

im sry if i get it wrong i think it is 32

Step-by-step explanation:

WILL MARK BRAINLIEST Solve the following problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. b Given: FD ⊥ AB ∠A ≅ ∠B Prove: ∠F ≅∠CEF

Answers

Answer:

AED congruent to FEC

Step-by-step explanation:

If you look closely, BOth of the angles are vertical.

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