solve absolute value equation |5c-17| = |3x +11|

Answer:

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

Step-by-step explanation:

The number pounds of the mixture = 10

Let the number of pounds peanuts = x

Let the number of pounds cashews = y

Let the number of pounds raisins be equal to z

Hence,

x + y + z = 10

The mixture has twice as many peanuts as cashews.

2y= x

= 2y + y + z = 10

= 3y + z = 10

z = 10 - 3y

Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.

x × $1 + y × $2 × z × $2 = $16

x + 2y + 2z = 16......Equation 2

We Substitute.(2y = x), (z = 10 - 3y)

2y + 2y + 2(10 - 3y) = 16

4y + 20 - 6y = 16

20 - 16 = 6y - 4y

4 = 2y

y = 4/2

y = 2 pounds

z = 10 - 3y

z = 10 - 3(2)

z = 10 - 6

z = 4 pounds

2y= x

2(2) = x

x = 4 pounds

How much of each ingredient did the store use to make the mixture?

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

Answer:

The sum of zeros is [tex]\frac{61}{6}[/tex]

Step-by-step explanation:

The Rule of Zero Product

The rule of zero product states that the product of two nonzero elements is nonzero. It can be written as the following assertion:

If a.b=0, then a=0 or b=0

The equation

(m-10)(6m-1)=0

can be solved by applying the mentioned rule:

[tex]m-10=0 \ \ \Rightarrow m=10[/tex]

[tex]6m-1=0 \ \ \Rightarrow m=1/6[/tex]

The sum of both solutions is:

[tex]\displaystyle 10+\frac{1}{6}=\frac{61}{6}[/tex]

The sum of zeros is [tex]\mathbf{\frac{61}{6}}[/tex]

Answer:

5

Step-by-step explanation:

just took the box/ test

Answer:

1.8%

Step-by-step explanation:

2.86-2.81 = .05 (find the difference between the two numbers)

2.81 / .05= .017 (divide the original number)

Multiply 100 to get a percentage

1.8% (rounding to the nearest tenth)

Answer:

20 times 4

Step-by-step explanation:

Han's team has 4 players.

A perfect score is the maximum possible score. Each player can score up to 20 points in each round, so 20 points is the maximum score.

If each of the 4 players scores 20 points, then the total score for the team is:

20 *4

That is the expression for the team's points.

Answer: 20*4

Answer:

11v+35v-30

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Answer:

5.59

Step-by-step explanation:

22.36/4 = 5.59

hope this helps!

Answer:

-6*-7=42 wdym as in undefined

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

The equation of the line is y = 2x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

Let us take two points on the line to find its equation

∵ Points (3, 3) and (0, -3) lie on the line

∴ x1 = 3 and y1 = 3

∴ x2 = 0 and y2 = -3

→ Use the rule of the slope above to find m

∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]

∴ m = 2

→ Substitute its value in the form of the equation above

∴ y = 2x + b

∵ b is the value of y at x = 0

∵ y = -3 at x = 0

∴ b = -3

→ Substitute it in the equation above

∴ y = 2x + -3

→ Remember (+)(-) = (-)

∴ y = 2x - 3

∴ The equation of the line is y = 2x - 3

Answer:A

Step-by-step explanation:

Rise over run is whats needed in the answer. Since you have a point running through the origin, the slope (5/2) is provided

Answer:

x=5

Step-by-step explanation:

7 (x-8)=2x-31

Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)

7x-56=2x -31

Drag the 2x over to the other subtracting it from 7x.

7x-2x-56=-31

5x-56=-31

Drag the 56 to the other side and add it to -31

5x= -31+56 (or 56-31)

5x= 25

Divide 5x from 25 to get your X

x=25/5

x=5

Hope this helps!!

Answer:

$42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

To find the sale price of the tennis racket, multiply the original price by 0.6:

70(0.6)

= 42

So, the sale price of the tennis racket is $42

Answer:y

=

1

3

x

+

2

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

1

3

y-intercept:  

2

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for more steps...

x

y

0

2

3

3

Graph the line using the slope and the y-intercept, or the points.

Slope:  

1

3

y-intercept:  

2xy0233

Answer:

-2y+x

Step-by-step explanation:

x-2y

-2y+x

Answer:

x+2y+x+2

=2x+2y+2

=2(x+y+1)

Step-by-step explanation:

i hope its right

Answer:

Jack has saved $245.

Step-by-step explanation:

You divide $350 by $10, and you get 35. Then multiply Jack's $7 by 35 and you get $245!

Hope this has helped you! :)

Happy Halloween!~

Answer:

x= -2

Step-by-step explanation:

so D is the answer

Answer:

[tex]\boxed {x = -2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]9 - 4x = 17[/tex]

-Subtract both sides by [tex]9[/tex]:

[tex]9 - 9 - 4x = 17 - 9[/tex]

[tex]-4x = 8[/tex]

-Divide both sides by [tex]4[/tex]:

[tex]\frac{-4x}{-4} = \frac{8}{-4}[/tex]

[tex]\boxed {x = -2}[/tex]

Therefore, value of [tex]x[/tex] is [tex]-2[/tex].

Answer:

A!

Step-by-step explanation:

Edge 2021 :)

The solution to the system of equations  is a=2, b=-2 and c=0

Two or more expressions with an Equal sign is called as Equation.

The given equations are

2a+b+c=2 ...(1)

-a+b-C=-4 ...(2)

a-2b+2c= 6 ...(3)

Isolate a for 2a+b+c=2

a=2-b-c/2

substitute a in equation 2 and 3

-2+b+c/2 -b-c=-4

2-b-c/2-2b+2c=6

(3b-c-2)/2=-4

5b+3c+2/2=6

Isolate b for (3b-c-2)/2=-4

b=c-6/3

By simplification we get a=2, b=-2 and c=0

Hence, the solution to the system of equations  is a=2, b=-2 and c=0

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Step-by-step explanation:

Since each cookie has 9 grams of fat, four cookies would contain 4*9 = 36 grams of fat.

Also nine cookies has 7*9 = 63 grams of fat.

So the number of grams consumed will be at least 36 and no more than 63.

The number of grams consumed will be; at least 36 and no more than 63.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that  cookie contains 9 grams of fat and eat no fewer than 4 and no more than 7 cookies, then;

Since each cookie has 9 grams of fat, four cookies would be;

4 x 9 = 36 grams of fat.

Also, the nine cookies have 7 x 9 = 63 grams of fat.

Therefore, the number of grams consumed will be; at least 36 and no more than 63.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

3.33m/s

Step-by-step explanation:

The perimeter of a rectangle is

= 2(L + W)

L = 500m

W = 200m

= 2(500 + 200)

= 2(700)

= 1400m

If it takes Rebekah 420 s to run the entire perimeter of her property.

Her average speed in meters per second rounded to the nearest hundredth is = Distance/Time

= 1400m/420s

= 3.3333333333 m/s

Approximately = 3.33m/s

Answer:

2. x=25°

3. x=15°

4. x=26°

Step-by-step explanation:

For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.

30+20+x=180                  [combine like terms]

50+x=180                         [subtract both sides by 50]

x=130

Now that we have the missing angle, we can use that to solve for x.

2x+130=180                     [subtract both sides by 130]

2x=50                               [divide both sides by 2]

x=25°

Now, we know that x=25°.

For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

8x+25+2x+5=180            [combine like terms]

10x+30=180                     [subtract both sides by 30]

10x=150                            [divide both sides by 10]

x=15°

Now, we know that x=15°.

For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

x+12+52+90=180             [combine like terms]

x+154=180                        [subtract both sides by 154]

x=26°

Now, we know that x=26°.

Answer:

3. x = 5        4. x = 26

Step-by-step explanation:

3.

(2x + 5)  + 8x + 25 = 180

10x +30 = 180

10x = 150

x = 15

4.

52 + 90 + x+12 = 180

52 + 90 + 12 = 142

x + 142 = 180

x = 180 - 154

x = 26

Step-by-step explanation:

I am not sure sorry for doing it Innist need points

m = − 3/ 5  your welcome

Answer:I think it's -3/5

Step-by-step explanation:mhm

Answer:

No because the aren’t equalll

Step-by-step explanation:

Is this ggod

Answer:

No

Step-by-step explanation:

32/4 = 8

72/10 = 7.2

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

∴ h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

∴ Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

∴ The new image is (-1, -4)

∵ It is translated 2 units down

∴ k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

∴ The final image is (-1, -6)

∴ The coordinates of the image of point A are (-1, -6).

Answer:

4,1

Step-by-step explanation: Due to the segment only needing a length of 4 units, if you add 4 units to your y, it will get you y=1

Answer:

8

Step-by-step explanation:

8

Answer:

B) Statement: slope of df  = slope of bc

Reason: Transitive Property of Equality

Step-by-step explanation: i just took the test.

Answer:

C. Transitive Property of Equality

Step-by-step explanation:

Step-by-step explanation: