3k - 2 = 10
I don't understand how to solve this.

Answer:

1. x = 8

2. x = 3

3. x = 25

4. x = 6

5. x = 11

6. x = 3

7. x = 6

8. x = 10

Step-by-step explanation:

Since the opposite sides of a parallelogram are congruent, the length of segment QR is equal to the length of segment PS.

10 = -6 + 2x

Add 6 to each side

10 + 6 = -6 + 6 + 2x

Simplify each side

16 = 2x

Divide both sides by 2

16/2 = 2x/2

Simplify

x = 8

to check if x is correct:

you already know that  segment QR is 10, so your answer needs to be equal to 10

so sement PS is -6x + 2x

-6 + 2x

= -6 + 2(8)

= -6 + 16

= 10

so PS = 10

2. 34x + 5 = 35x + 2

Step 1: Subtract 35x from both sides.

34x + 5 − 35x = 35x + 2 − 35x

−x + 5 = 2

Step 2: Subtract 5 from both sides.

−x + 5 − 5 = 2 − 5

−x = −3

Step 3: Divide both sides by -1.

-x/-1 = -3/-1

Step 4: Simplify

x = 3

3.

115 = 2x + 65

Step 1: Flip the equation.

2x + 65 = 115

Step 2: Subtract 65 from both sides.

2x + 65 − 65 = 115 − 65

2x = 50

Step 3: Divide both sides by 2.

2x/2 = 50/2

x = 25

4.

84 + 16x = 180

84 - 84 + 16x = 180 - 84

16x = 96

16x/16 = 96/16

x = 6

5.

2(3x − 10) = 46

Step 1: Simplify both sides of the equation.

2(3x − 10) = 46

(2)(3x) + (2)(−10 )= 46(Distribute)

6x + −20 = 46

6x − 20 = 46

Step 2: Add 20 to both sides.

6x − 20 + 20 = 46 + 20

6x = 66

Step 3: Divide both sides by 6.

6x/6 = 66/6

x = 11

6. RH = 1/2 FH or RH = 2 × FH

Step 1: Simplify both sides of the equation.

(2)(12)=13x−2

24=13x+−2

24=13x−2

Step 2: Flip the equation.

13x−2=24

Step 3: Add 2 to both sides.

13x−2+2=24+2

13x=26

Step 4: Divide both sides by 13.

13x/13 = 26/13

x = 3

7.

2x+2=3x−4

Step 1: Subtract 3x from both sides.

2x+2−3x=3x−4−3x

−x+2=−4

Step 2: Subtract 2 from both sides.

−x+2−2=−4−2

−x=−6

Step 3: Divide both sides by -1.

-x/-1 = -6/-1

x = 6

8.

2(2x−6)=28

Step 1: Simplify both sides of the equation.

2(2x−6)=28

(2)(2x)+(2)(−6)=28(Distribute)

4x+−12=28

4x−12=28

Step 2: Add 12 to both sides.

4x−12+12=28+12

4x=40

Step 3: Divide both sides by 4.

4x/4 = 40/4

x = 10

The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.

To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.

To know more about sample,

https://brainly.com/question/31661667

#SPJ11

The total amount it would cost to make 110 bon bons given the cost per gram is $24.52.

The first step is to determine the gram used in making the chocolate.

Gram = density x volume

Volume = 4/3πr³

4/3 x 22/7 x (2/2)³ = 4.19cm³

Gram = 4.19cm³ x 1.33 = 5.57 g

Cost of 110 bon bons = 5.57 x 0.04 x 110 = $24.52

To learn more about density, please check:

https://brainly.com/question/3704320

The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.

To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:

1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.

2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.

3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.

4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.

Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.

For more questions on equations

https://brainly.com/question/29174899

#SPJ8

Answer:2.4

Step-by-step explanation:

Explanation

In the question, we are given that the millet seeds and the sunflowers seed are packaged in 5 pounds back.

We can assume that the pounds of millet seeds be x and the pounds of sunflower seeds be y. We can therefore create the equation;

Next, we know that a pound of sunflower seed cost $1.75 and a pound of millet seed cost $2.50 and the mixture is sold for $11.60. This will imply;

We will then solve the above equation simultaneously.

Insert equation 3 in equation 2

Since the weight of the sunflower seed is represented by y, therefore the answer is;

Answer: 1.2 pounds

In order to determine whether the drums and cymbals are consumer goods, we need to examine the definition of consumer goods under the Uniform Commercial Code (UCC).

Under Section 9-102(23) of the UCC, "consumer goods" means goods that are used or bought for use primarily for personal, family, or household purposes.

Based on the information given, Symons bought the drums and cymbals to supplement his income by playing with a band, which suggests that he bought them for a commercial or business purpose rather than for personal, family, or household use. Additionally, Symons' income from his two jobs was about equal, indicating that his primary source of income was not from playing music.

Therefore, it is unlikely that the drums and cymbals would be considered consumer goods under the UCC. If the drums and cymbals are not consumer goods, then Grinnel Brothers would need to have filed the security agreement to perfect their security interest. Since the security agreement was not filed, Grinnel Brothers would not have a perfected security interest in the drums and cymbals, and the trustee would be able to acquire them as part of Symons' bankruptcy estate.

Learn more about cymbals  here:

https://brainly.com/question/29091934

#SPJ11

Measurements of the Rhombus are Angle 1 = 124°; Angle 2 = 28° ; Angle 4 = 124°; Angle 3 = 28°; Angle 5 = 28°

A rhombus is an equal-sided quadrilateral in Euclidean plane geometry. The term "equilateral triangle" also refers to a quadrilateral whose sides are of the same length. A parallelogram has a unique variation known as a rhombus. In a rhombus, the opposite sides and angles are parallel and equal. A rhombus's diagonal is split in half by a right angle, and each of its sides is the same length. Rhombic diamonds and diamonds are other names for rhombuses. The length of every side is the same. Diagonals are equal in a rhombus. At a 90° angle, parallel lines split in half. 180 degrees is the sum of adjacent angles.

Angle 1 = 180 - (28+28)= 124°

Angle 2 = 28° (equal sides of rhombus)

Angle 4 = 124°

Angle 3 = 28° (Diagonals of a rhombus bisects the angles)

Angle 5 = 28° (Diagonals of a rhombus bisects the angles)

To know more about Rhombus Visit:

https://brainly.com/question/27870968

#SPJ1

Step-by-step explanation:

AB = BC

3x+26=10x-13

39=7x

x=5.6 cm.

hope this helps you.

Answer:

dr. potter provides 54 vaccinations TOTAL (including both measles and polio).

p+m=54

since there are 4 doses of polio and of measles, you have to use a variable to distinguish how many doses were given for measles and polio out of 142 given doses.

4p+2m=142

p+m=54

4p+2m=142

^^system of equation

p+m=54

4p+2m=142

p=54-m

4p+2m=142

(substitute 54-m to the equation)

4(54-m)+2m=142

m=37

(collect like terms, then substitute the value of m into the first equation)

p=54-37

p=17

(m, p)=(37, 17)

Step-by-step explanation:

i hope this helps, sorry for the wait

Answer:

Within 10 feet of a fire hydrant

Step-by-step explanation:

Answer:

10 feet.

Step-by-step explanation:

Considering the right triangles

5. x = 8 and y = 6.9

6. x = 8.5 and y = 14.7

Applying the similar triangle, altitude rule

5.

y / 4 = 12 / y

y = √(4 * 12) = 6.93

Using Pythagoras theorem

x = √(6.93^2 + 4^2) = 8

6.

x / 6 = 12 / x

x = √(6 * 12) = 8.49

Using Pythagoras theorem

y = √(8.49^2 + 12^2) = 14.7

Learn more about similar right triangles at:

https://brainly.com/question/2644832

#SPJ1

No, there is no value of q that makes the net electrostatic force on each of the four particles zero.

This is because the electrostatic force is inversely proportional to the square of the distance between the charges. Therefore, even if the charges were equal, the force between the charges would not be zero due to the distance between them.

Additionally, the forces between the charges would not cancel out because they are acting in different directions. Therefore, there is no value of q that would make the net electrostatic force on each of the four particles zero.

To know more about electrostatic force click on below link:

https://brainly.com/question/9774180#

#SPJ11

y  =  m x  +  b . y  =  6 x  −  7

Hope this helped!

Answer:   y  = 6x-7

Step-by-step explanation:

2y - 12x = -14    Add  12x to both sides

    +12x     +12x

2y =  12x - 14          Divide both sides by 2

y = 6x - 7

Solution

We can create the following plot:

Part 1

From this case we can see in the figure that the maxium number of circular rugs are 6

The total area is given by:

A= 12ft * 18 ft= 216 ft2

And the area for a single rug is:

Then the area for the 6 rugs is:

And rounding to the nearest square foot we got:

170 ft2

Part 2

The remaining space would be given by:

R= 216-170 ft2= 46ft

Answer:

268.25

Step-by-step explanation:

by using the fact that one year is 365.25 days, we can subtract our 365.25 by our 97 to get 268.25, written in the equation of 365.25-97=268.25

*edit, messed up how long a year was, corrected my issue, answer & equation.

Answer:

Step-by-step explanation:

How many did not rain is 268 because if you take away 97 from 365 ofcourse it will be 268 you’re welcome

Answer:

Step-by-step explanation:

The distance formula or the Pythagorean theorem will tell you the length of DF:

  DF = √((m -0)² +(0 -n)²)

  DF = √(m² +n²)

The slope can be found from the slope formula or by looking at rise/run.

  slope = rise/run

  slope = -n/m

The midpoint is the average of the end points:

  midpoint = ((0, n) +(m, 0))/2

  midpoint = (m/2, n/2)

Answer:

B.) x² + 3x = 4

Step-by-step explanation:

To find the answer, you need to (1) isolate "y" in the first equation and then (2) plug the rearranged first equation into the second equation.

(Step 1)

2y = 6x                     <----- Original first equation

y = 3x                        <----- Divide both sides by 2

(Step 2)

x² + y = 4                  <----- Original second equation

x² + (3x) = 4              <----- Plug 3x in for "y"

Answer:

m∠A 60°, m∠B= 120°, m∠C =60°, m∠D=120°

Step-by-step explanation:

\( In\: ||^{gm} \: ABCD, \: BK\perp AD... (given) \\

\therefore \angle BKA = 90\degree \\

In\:\triangle BKA, \\\\

\cos \angle A = \frac{AK}{AB}\\\\

\cos \angle A = \frac{3}{6}\\\\

\cos \angle A = \frac{1}{2}\\\\

\cos \angle A = \cos 60\degree.. (\because \cos 60\degree = \frac{1}{2}) \\\\

\huge \red {\boxed {\therefore \angle A = 60\degree}} \\\)

Since, adjacent angles of a parallelogram are Supplementary.

\( \therefore \angle A + \angle B = 180\degree \\

\therefore 60\degree + \angle B = 180\degree \\

\therefore \angle B = 180\degree - 60\degree\\

\huge \purple {\boxed {\therefore \angle B = 120\degree}} \\\)

Since, opposite angles of a parallelogram are congruent.

\( \therefore \angle C = \angle A

\\

\huge \red{\boxed {\therefore \angle C = 60\degree}} \\\\

\therefore \angle D = \angle B

\\

\huge \purple {\boxed {\therefore \angle D = 120\degree}} \\\)

The completed statement with regards to the areas of the triangle and rectangle can be presented as follows;

The length of the triangle is 9 units. The width of the rectangle is 2 units. The area of the rectangle is 18 square units.

A triangle is a three sided polygon.

The area of the triangle can be found by forming a rectangle with the original triangle and the copy of the triangle rotated 180°, to combining with the original triangle to form a rectangle that is a composite figure consisting of two triangles

The length of the rectangle is 9 units

The width of the rectangle is 2 units

The area of the rectangle is; A = 9 × 2 = 18 square units

The rectangle is formed by two triangles, therefore, the area of the triangle is half of the area of the rectangle, which is; Area of triangle = 18/2 = 9 square units

Learn more on the area of a triangle here: https://brainly.com/question/17141566

#SPJ1

Answer:

chance of:

red 7/40 = 17.5%

yellow 3/10 = 30%

orange 1/5 = 20%

white = 13/40 = 32.5%

Step-by-step explanation:

7+12+8+13 = 40 total cards

7 red/ 40 possible

12 yellow/40 possible = 3/10

8 orange/40 possible = 1/5

13 white/40possible

Using it's concept, it is found that the experimental probability of each outcome is given by:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these numbers are taken from previous outcomes.

In this problem, there are 40 cards.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

Step-by-step explanation:

Angle 1 and Angle 2 add up to 90 degrees (a right angle).

Angle 1 is (x-5) and Angle 2 is 4x.

So let's add those up and set them equal to 90.

(x-5) + 4x = 90

Now solve for x.

5x - 5 = 90

5x = 95

x = 19

Substitute x = 19 back into the provided equations for Angle 1 and Angle 2.

Angle 1 = x-5 = 19-5 = 14 degrees.

Angle 2  = 4x = 4*19 = 76 degrees.

Now do a check - - - angle 1 + angle 2 should equal 90!

14 + 76 = 90 degrees.

The translation is given as follows:

Translation of 6 units up.

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for vertices are given as follows:

From the graph, we can see that for each ordered pair, 6 was added to the y-coordinate, hence the translation was of 6 units up.

More can be learned about translations at brainly.com/question/28174785

#SPJ1

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

Learn more about inscribed angle theorems on:

https://brainly.com/question/30494878

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

For more such questions on lengths

https://brainly.com/question/28322552

#SPJ8

Answer:

30 i think?

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x+ 50= 6x-10

50+10=6x-3x

60=3x

x=20

Answer:

x = 20

Step-by-step explanation:

you can notice that those two are identical, so it's a basic equation

3x + 50 = 6x - 10

and now we can solve it by moving x'es to one side and number to the other (remembering that when you do that you need to change the sign, so if there is "-" then change to "+"):

50 = 6x - 10 - 3x

50 = 3x - 10

50 + 10 = 3x

60 = 3x

20 = x

The greatest length Noah can make is 3 feet.

To find the greatest length that Noah can make by cutting the wires into pieces of the same length, we need to find the greatest common divisor (GCD) of the two wire lengths.

The GCD represents the largest length that can evenly divide both numbers without leaving any remainder. By finding the GCD, we can determine the length that each piece should be to ensure there is no wire left over.

The GCD of 39 and 30 can be calculated using various methods, such as the Euclidean algorithm or by factoring the numbers. In this case, the GCD of 39 and 30 is 3.

Therefore, Noah can cut the wires into pieces that are 3 feet long. By doing so, he can ensure that both wires are divided evenly, with no wire left over. The greatest length he can make is 3 feet.

This solution guarantees that Noah can divide the wires into equal-sized pieces, maximizing the length without any waste.

For more such answers on the Euclidean algorithm

https://brainly.com/question/24836675

#SPJ8