-1/3(x-15)=-4 what is the correct sequence of operations

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

The steps I show will be listed from first-to-last.

-1/3x + 5 = -4 (Distribute)

-1/3x = -9 (Subtract 5 from both sides)

x = 3 (Multiply both sides by -3)


Related Questions

1.What is the slope of the function shown on the graph?

A line is graphed on a four quadrant coordinate plane. The x-axis and the y-axis go from negative 10 to 10 in increments of 1. The line passes through (0, 7) and (4, 2).

A−56

B−54

C−65

D−45

2.A quarry runs a delivery service for crushed stone. The cost to deliver the crushed stone is a flat fee for the delivery and the cost of the crushed stone in terms of weight. The graph of the total cost, C, in dollars as a function of the weight, x, in pounds of the crushed stone is shown. What is the meaning of the y-intercept?

A line is graphed on a first quadrant coordinate plane. The horizontal x-axis is labeled Weight in pounds and goes from 0 to 6000 in increments of 200, and the vertical C of x-axis goes from 0 to 500 in increments of 20. The line passes approximately through (0, 120) and (400, 134).

A.The cost of the delivery is $120.

B.The cost of stone dust is $0.035 per pound.

C.The cost of the delivery is $70.

D.The cost of stone dust is $70 per ton.

3.What is the x-intercept of the function f(x) graphed on the coordinate plane?

A line is graphed on a four quadrant coordinate plane. The horizontal axis goes from negative 7 to 7 in increments of 1, and the vertical axis goes from negative 7 to 7 in increments of 1. From left to right, a straight line passes through (0, 1) and (2, 0).

A−2

B−1

C2

D1

Answers

Answer:

1) B - 5/4

2) A. The cost of delivery is $120

3) C 2

Step-by-step explanation:

1) The given parameters are;

The demarcations on the x-axis = -10 to 10

The demarcations on the y-axis = -10 to 10

The coordinates of two points on the graph are (0. 7), and (4, 2)

The slope, m, of a graph is given by the following equation;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given that (x₁, y₁) = (0. 7) and (x₂, y₂) = (4, 2), we have;

[tex]Slope, \, m =\dfrac{2-7}{4-0} = -\dfrac{5}{4}[/tex]

The slope, m = -5/4

Taking B. as = -5/4

2. The given information are;

The nature of the cost of delivery of crushed stone = Cost of delivery, A

The function, f, for the cost of crushed stone of mass, x is the cost C, f(x) = C = m × x + A

Whereby the the graph of the total cost of the crushed stone is a straight line graph, we have;

C = m × x + A

At the y-intercept, x = 0, we have;

C[tex]_{(y-intercept)}[/tex] = m × 0 + A

C[tex]_{(y-intercept)}[/tex]  = A = Cost of delivery

The points on the line are;

(0, 120) and (400, 134), therefore, the slope, m, is given as follows;

[tex]Slope, \, m =\dfrac{134-120}{400-0} = \dfrac{14}{400} = 0.035[/tex]

We have;

(C - 134) = 0.035×(x - 400)

C = 0.035·x - 14 + 134 = 0.035·x + 120

C = 0.035·x + 120

At the y-intercept, x = 0, we have;

C[tex]_{(y-intercept)}[/tex] = 0.035 × 0 + 120

C[tex]_{(y-intercept)}[/tex]  = 120 = Cost of delivery

Therefore, the cost at the y-intercept = The cost of delivery = $120

3. The coordinates of points on the graph are;

(0, 1) and (2, 0)

The slope, m = (0 - 1)/(2 - 0) = -1/2

The equation of the line in point slope form is given as follows;

(y - 0) = -1/2 × (x - 2)

y = -x/2 + 1

The x-intercept occurs at the point y = 0, which is presented as follows;

0 = -x/2 + 1

-x/2 = -1

x = -1 × (-2) = 2

x = 2

Therefore, the y-intercept occurs at x = 2.

The correct option is

C 2

Do #1 a-f please 15 points

Answers

Answer:

1a  expression

1b equation

1c equation

1d expression

1e expression

1f equation

Step-by-step explanation:

Equations have an equals sign, while expressions do not.

1a  expression

1b equation

1c equation

1d expression

1e expression

1f equation

Answer:

A Expression B Equation 2 1/4 C Equation 3 2/3 D Expression E Expression F Equation  

Step-by-step explanation:

Fahrenheit 451

Write a paragraph on the imagery' from this text with evidence, as well as a second paragraph for the mood.

Answers

Answer:

mark above answer BRILLIANT

The heights of six students Aaron, Betty, Carrie, Dan, Evelyn and Frank are 58 inches, 60 inches, 63 inches, 64 inches, 68 inches and 69 inches. Carrie is 4 inches shorter than Aaron. The girls (Betty, Carrie and Evelyn) are the three shortest students. Dan is one inch shorter than Frank. Betty is the shortest student. What is the sum of Frank’s height and Evelyn’s height, in inches?

Answers

Answer: 132

Step-by-step explanation: I think it is 132 because C + 4 = A, D + 1 = F, and B is shortest. so the order is FDAECB with Frank at 69 and Evelyn at 63. Carrie has to be at 60 because Aaron, who is 64, is 4 inches taller than Carrie. So, when you add 69 and 63 together, you get 132. Also just to check, Dan, who is 68, is one inch shorter than Frank, who is the tallest. This is only true because the girls are the youngest.

Answer:

132

Step-by-step explanation:

I did it on a Mathcounts competition

What is the cost of juice in dollars per fluid ounce?

Answers

11 cents per fluid ounce

PLEASE IM BEGGING U I NEED THIS PLEASE!!! THANK U FOR HELPING cries!!

What is the equation of the line, in standard form, if the slope is = - 1/4 and it passes through point (-3,4) ?

THANK U SO MUCH!!

Answers

Answer:

x+4y=13

Step-by-step explanation:

slope m= -1/4

(-3,4)

Slope intercept form: y=mx+c. plug in values of x,y,m, find c

4=(-1/4)*(-3)+c

c=4-3/4=(16-3)/4=13/4

Equation of line is:

y=(-1/4)x+13/4

To bring it to standard form, 4y=-x+13

x+4y=13

how many triangles in the figure?
26
25
24
27

Answers

I keep getting 22 triangles

Someone answer this for brainliest.

Answers

Answer:

x < 3

Step-by-step explanation:

4x - 7 < 5

Add 7 to both sides.

4x < -2

Divide by 4 to both sides to get x alone.

x < 3

To check the answer if it's right or not, you can just plug in the 3 for x and multiply it by 4 which would equal 12 and subtract 12 - 7 which would equal 5.

Hope this helps and pls do mark me brainliest:)

Answer:

x < 3

Step-by-step explanation:

4x-7<5

4x<5+7

4x<12(divide both sides by 4)

4. 4

x<3

OMG Help Me !Select all the correct answers. Which tables represent constant functions? Pick 2 and show your work. No guessing.
x y
2 -1
2 0
2 1
x y
2 -3
4 -7
6 -11
x y
2 3
4 3
6 3
x y
1 3
2 12
3 27
x y
1 -1
2 -1
3 -1

Answers

Tables 1 and 2 because they move at a constant rate of change and they are linear functions with a slope.

Table 3 is not a function because there is more than one input for each output.

Table 4 is an exponential equation with the equation y = 4x^2

Table 5 is not a function for the same reason as table 3.

Answer:

Yes! The answer is A and B. Or the 1st and 2nd ones.

Step-by-step explanation:

Ratios and Rates
Express each ratio as a fraction in the simplest form
1) 30 miles out of 30 miles
2) B blue cars out of 12 cars
3) 7 quarts to 84 quarto
4) 25 cups to 35 cups
5) 9 gallons to 36 gallons
6) 54 bootles out of 60 insects
7) 10 pennlos to 45 pennies
B) 28 dimes to 48 dimos
Express each phrase as a rate and unit rate
(Round your answer to the nearest hundredth)
Rate
Unit Rate
9) 130 miles on 4 gallons of gas
10) 9 inches of sno
w in 7 hours
11) 6 calculators cost $150.00
12) 8 pencils for 16 dollars
13) 10 chocolate bars cost 17 dollars
14) 7 dollars for 3 cans of tuna
15) 9 batteries cost 13 dollars
16) 14 dollars for 8 books
Math-Ads.com

Answers

Answer:

1) 1

2) 12/B

3) 12

4) 1  2/5

5) 4

6) 1  1/10

7) 4  1/2

8) 1  7/10

9) 32  1/2

10) 9

A sphere has a diameter of 24 units. What is its volume in cubic units?
A.576pi cubic units
B.1,728pi cubic units
C.2,304pi cubic units
D 6,912pi cubic units

Pls help!!

Answers

Answer:

C.2,304pi cubic units

Step-by-step explanation:

Volume of the sphere:

V = 4/3πr³

Since d = 24 units,

r = d/2 = 12 units

Then

V = 4/3π(12³) = 2304π

Correct option is C

Write the equation of the parabola in vertex form.


Vertex: (−4,6); Point: (−2,−2)

Answers

Answer:

y = - 2(x + 4)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 4, 6 ) , thus

y = a(x - (- 4) )² + 6 , that is

y = a(x + 4)² + 6

To find a substitute (- 2, - 2) into the equation

- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )

- 8 = a(2)² = 4a ( divide both sides by 4 )

- 2 = a , thus

y = - 2(x + 4)² + 6 ← equation in vertex form

un icosagono es un poligono que contiene 20 lados, cuantas diagonales se pueden trazar desde todos sud vertices si cada lado mide 15cm y su area es 900cm2?

Answers

Answer:

El número de diagonales de un icoságono = 170 diagonales

Step-by-step explanation:

Los parámetros dados son;

El número de lados del polígono = 20

La longitud de cada lado = 15 cm.

El área del polígono = 900 cm²

La fórmula para encontrar el número de diagonales, ∑D, de un polígono de n lados se presenta como sigue;

Número de diagonales, ∑D = n (n - 3) / 2

Por lo tanto, el número de diagonales de un icoságono (20 lados) ∑D (20) es;

∑D (20) = 20 × (20 - 3) / 2 = 170 diagonales.

Se pueden trazar 170 diagonales en un icoságono.

Matemáticamente, es posible determinar la cantidad de diagonales en función del cantidad de lados del polígono a través de la siguiente fórmula:

[tex]d = \frac{n\cdot (n-3)}{2}[/tex] (1)

Donde:

[tex]d[/tex] - Cantidad de diagonales.[tex]n[/tex] - Cantidad de lados.

Si sabemos que [tex]n = 20[/tex], entonces la cantidad de diagonales del icoságono es:

[tex]d = \frac{20\cdot (20-3)}{2}[/tex]

[tex]d = 170[/tex]

Se pueden trazar 170 diagonales en un icoságono.

Invitamos cordialmente a ver esta pregunta sobre polígonos: https://brainly.com/question/10956189

PLZ HELP QUICK THANKS!

Answers

Answer:

L = [tex]5 \frac{1}{6} cm = \frac{31}{6} [/tex] cm

B = [tex]2 \frac{2}{7}cm = \frac{16}{7} [/tex]cm

Area = [tex] \frac{31}{6} cm \times \frac{16}{7}cm = \frac{496}{42}cm^{2} [/tex]

[tex]11 \frac{34}{42}cm^{2} [/tex]

[tex] = 11\frac{17}{21}cm^{2} [/tex]

PLEASE ANSWER FAST.
The question is in the picture.
(question 24)

Answers

Answer:

As the values of x increase both function decrease in value.

Step-by-step explanation:

Identify the coordinate of the point shown on the number line. A number line from negative 30 to 10. Major tick marks are on every ten numbers and minor tick marks are on every number. A point is plotted three ticks to the left of 0 What is the coordinate of point P?

Answers

Answer:

The coordinates of the point P is -3  

Please see attached number line

Step-by-step explanation:

The given information are;

The length of the given number line = The line extends from -30 to +10

The location of major tick marks = Every ten numbers

The location of minor tick marks = Every number

The location of the point P = Three ticks to the left of 0

Therefore, the coordinates of the point P = -3

What is 3/4 plus 1 1/4?

Answers

Answer: 2

Step-by-step explanation:

you add the 3/4 to the 1/4 and get 4/4 which equals 1 next you add that to the 1 from the problem and get 2

if you need it in an improper fraction you can just say 8/4

For anyone who had the similar question.

Answers

B, i just double checked!

What is the value of f(-3) if f(x) = -5x - 1

Answers

Divide both sides by three

Answer:

F(-3)= -14

Step-by-step explanation:

f(x)= -5x-1

f(x)=-5(-3)-1

f(x)= -15-1

f(x)=-14

Maya is working two summer jobs, making $7 per hour babysitting and $11 per hour landscaping. Last week Maya earned a total of $96 and worked 3 times as many hours babysitting as she worked hours landscaping. Determine the number of hours Maya worked babysitting last week and the number of hours she worked landscaping last week.

Answers

Answer:

3 hours for landscaping and 9 hr for babysitting

Step-by-step explanation:

So take x to be babysitting and y to be landscaping

The equation will be 7x+11y=96

$7 for the baby sitting and $11 for the landscaping and 96 for the total

So then it says 3 times as many hours than landscaping so x equation will look like this x=3*y

So replace the terms - 7*(3y)+11y=96

Simplify (7*3)y+11y=96

Simplify more 21y+11y=96

You get 32y=96

Divide both sides by 32 to have y only 32y/32=96/32

You will get y=3

So landscaping will be 3 hours and it says that babysitting is 3 times so multiply 3 you get 9

So landscaping is 3 hours and babysitting is 9 hours

Hope this help

(It may be wrong so if it is im sorry :( )

Answer:3 hours for landscaping and 9 hr for babysitting

Step-by-step explanation:

please answer these honestly and take as much time as you need. ty.

Answers

Answer:

1) 17/20 2)24 and  1/2 3)terminating 4) 0.8 5)1.8

Step-by-step explanation:

4) 4/5 times both sides by 2 then you get 8/10= 0.8

Answer:

first is 17/20, second is 24 1/2 , third is a terminating decimal, fourth is 0.8, and the fifth is 8.1.

Step-by-step explanation:

hope this helps :)

Heeeeeeeeelp plssssssssssss

Answers

E and a are the same

Answer:

A and E

Step-by-step explanation:

This is an example of the distributive property.

28n-25 is the base

E shows 7(4n-5)

7*4=28=28n

7*5=35

7(4n-5)=28n-35


What is the length of DE?
2.9 units
7.2 units
12.5 units

Answers

Answer:

7.2 units

Step-by-step explanation:

Estimate and Guess

We know that it cannot be 2.9 units long, because it slanted is 6 units long. The closest value to that is 7.2 units.

Answer: 7.2 units

NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!!
NEED HELP WITH BOTH PLEASE

Answers

Answer:

14) F

15) D

Step-by-step explanation:

14

You have 80 minutes on a CD, minus the time you burned would equal the time you have left on the CD.

15

To find mark down, you multiply the percentage to the original price, and then subtract the answer to the original price.

please help ASAP!!!! will give brainiest!!!

Answers

Answer:49ft

Step-by-step explanation:

Which statement about the graph is true?
•The period of the graph is 2pi/3
•The amplitude of the graph is 2 units •The domain of the graph is from –3 to 3 and is inclusive.
•The graph represents a reflection over the x-axis of the function y = 3sin(2x)​

Answers

Answer:

D. The graph represents a reflection over the x-axis of the function y = 3sin(2x).

Step-by-step explanation:

The statement fourth the graph represents a reflection over the x-axis of the function y = 3sin(2x) is true option (D) is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have shown a trigonometric graph in the picture.

The maximum value graph achieve is 3

The minimum value graph achieve is -3

The midline y = 0

The parent function will be f(x) = sinx

Transformed function:

y = 3sin(2x)

Thus, the statement fourth the graph represents a reflection over the x-axis of the function y = 3sin(2x) is true option (D) is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

The area of a rectangular painting is 5734cm^2
If the length of the painting is 94cm , what is its width?

Answers

Answer: 61cm

Step-by-step explanation:

So to work out this question you do 5734÷94 which would work out the with which is 61

61×94=5734

Pleaseeeeeeeeeeeeeeeee solve this

Answers

Answer:

x=25

Step-by-step explanation:

All angles in a triangle add up to 180°, so add all the angles together

(2x+15)+(x+10)+(3x+5)=6x+30

So that means... 6x+30=180°

Get rid of the 30, so... 180-30=150

6x=150°

Divide each by 6

6x/6=x

150/6=25

x=25

Sorry if that was hard to understand!!

Select the correct answer.
Which complex number is equivalent to the given expression?
(2 + i)(8 – 3i) – (23 + 34i)

Answers

Answer:

-47

Step-by-step explanation:

Answer:

-4 - 32i

Step-by-step explanation:

Got it right on the test

Which of the following is both a perfect square and a perfect cube?
64
16
81
1,000

I know the answer is 64, but how? Can someone please explain me to me how to work this out?

Answers

Well the square root of 64 is 8, and the cube root of 64 is 4. They’re perfect whole numbers. We know 4 x 4 = 16 is a square from the fact above, and also because of what a square means. But we can go one step further. 4 x 16 = 64 is the product of two squares, so it is also a square. But you can also write it as 64 = 4 x 4 x 4, making it a cube.
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