8(k - 6) +58 = 2(4k + 5)
one solution
no solutions
infinite solutions

Answers

Answer 1

Answer:

infinite solutions

Step-by-step explanation:

Given

8(k - 6) + 58 = 2(4k + 5) ← distribute parenthesis on both sides

8k - 48 + 58 = 8k + 10 , that is

8k + 10 = 8k + 10

Since both sides are equal then any value of x will make the equation true.

There are an infinite number of solutions


Related Questions

Select the correct answer. Given: ∆ABC Prove: A midsegment of ∆ABC is parallel to a side of ∆ABC. Statement Reason 1. Define the vertices of ∆ABC to have unique points A(x1, y1), B(x2, y2), and C(x3, y3). given 2. Let D be the midpoint of and E be the midpoint of . defining midpoints 3. definition of midpoints 4. slope of slope of definition of slope 5. slope of = slope of Transitive Property of Equality 6. definition of parallel lines 7. Let F be the midpoint of . defining a midpoint 8. definition of midpoint 9. slope of slope of definition of slope 10. 11. definition of parallel lines 12. Similarly, is parallel to . steps similar to steps 1−11 What is the missing step in this proof? A. Statement: slope of = slope of Reason: definition of slope B. Statement: slope of = slope of Reason: Transitive Property of Equality C. Statement: DF = BC Reason: Corresponding sides of congruent triangles are congruent. D. Statement: ∆ADF ≅ ∆ABC Reason: ASA

Answers

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:

7th grade math , I’ll give brainliest

Answers

Answer:

3. 11

4. -8

Step-by-step explanation:

Do przygotowania jednej porcji gofrow potrzeba 1 i pul szklanki maki pszennej, 1i jedna trzecia szkalanki mleka oraz 0,5 szkalnki oleju pszennego. Szklanka maki wazy 16 dag, szklanka mleka-24 dag, a szklanka oleju-21,5 dag.Ile dekagramow waza lacznie skladniki potrzeba na jedna porcje gofrow?

Answers

Odpowiedź:

5,075 dekagramu

Wyjaśnienie krok po kroku:

Biorąc pod uwagę, że:

Na jedną porcję gofra:

mąka pszenna = 1 szklanka

mleko = 1 szklanka

olej pszeniczny = 0,5 szklanki

Waga na filiżankę:

1 szklanka mąki = 16 gramów

Szklanka mleka = 24 g

Dziewczęta oliwy = 21,5 g

Na jedną porcję gofra:

(1 * 16 gramów) + (1 * 24 gramów) + (0,5 * 21,5 gramów)

16 gramów + 24 gramów + 10,75 gramów

= 50,75 grama

Odwołanie :

1 gram = 0,1 dekagramu

50,75 gramów = (50,75 * 0,1)

= 5,075 dekagramu

A rectangular garden is fenced on all sides with 234 feet of fencing. The garden is 5 feet longer than it is wide. Find the length and width of the garden.

Answers

Answer:

The width in only one side is 56ft and in both it is 112ft. The length in only one side is 61ft and in both sides it is 122ft.

Step-by-step explanation:

In the winter, a town has a low of -5°F. In
the summer, the same town has a high of
98°F. What is the difference in temperature?
[? ]°F

Answers

Answer:

-5f is lower than summer 98°f

Step-by-step explanation:

n the winter, a town has a low of -5°F. In

the summer, the same town has a high of

98°F. What is the difference in temperature?

Giving brainliest hehehehe

Answers

Answer:

A

Step-by-step explanation:

quotient is answer to division problem

Answer:  A.

Step-by-step explanation:

In the division model you divide to find the number of counters in each group. ... In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

I hope this helps plz tell me if its wrong so i can fix it.

Write the slope-intercept form of the equation of each line given the slope and y-intercept.
1) Slope = 6, y-intercept = 5

2) Slope = -1/3, y-intercept = 1

Answers

Answer:

1.) y= 6x+5

2.) y= -1/3x+1

Step-by-step explanation:

Slope Intercept Form is y=mx+b,

where slope is m

the y-intercept is b

So I just plugged in the slope and y-int to get the equation

Franco read of a chapter of his history book in § of an hour. At this rate, how many chapters of his history book
can he read in 1 hour?

Answers

Answer:

1 7/8

Step-by-step explanation:

dont know lol but trust me

What is the midpoint of coordinates (-3,5 and 2,-7)

Answers

Answer:

-8.5

Step-by-step explanation:

Can someone please help me asap I’ll mark brainlist!!!!!

Answers

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

A food store makes a 10-pound mixture of peanuts, cashews, and raisins. The mixture has twice as many peanuts as cashews. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16. How much of each ingredient did the store use to make the mixture?


I know the equations are likely

X = Peanuts

Y = Cashews

Z = Raisins


X + 2Y + 2Z = 16

2Y = X

X + Y + Z = 10

Answers

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

Find the product 0.025 x 7
A. 0.0175
B: 0.175
C. 1.75
D. 17.5

Answers

Answer:

b

Step-by-step explanation:

used a calucator

A. 0.0175 you have a calculator but thanks for the answer?? I asked siri

Rebekah lives on a large, rectangular-shaped property that has a length 500 m and a width of 200 m. If it takes Rebekah 420 s to run the entire perimeter of her property, what is her average speed in meters per second rounded to the nearest hundredth?

Answers

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

A new four way intersection is being constructed in New York Hyde park through point P(-3,-15) an equation of the line representing one road is y = -3/4x + 7 create an equation of the line representing the new road that will run perpendicular to the first road

Answers

Given:

A new four way intersection is being constructed in New York Hyde park through point P(-3,-15).

Equation of line of one road : [tex]y=-\dfrac{3}{4}x+7[/tex].

New road that will run perpendicular to the first road

To find:

The equation of line for the new road.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

We have,

[tex]y=-\dfrac{3}{4}x+7[/tex]

Slope of this line is [tex]-\dfrac{3}{4}[/tex] and y-intercept is 7.

Product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]-\dfrac{3}{4}\times m_2=-1[/tex]

[tex]m_2=\dfrac{4}{3}[/tex]

The point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

The slope of new line is [tex]\dfrac{4}{3}[/tex] and it passes through P(-3,-15). So, the equation of line of new road is

[tex]y-(-15)=\dfrac{4}{3}(x-(-3))[/tex]

[tex]y+15=\dfrac{4}{3}(x+3)[/tex]

[tex]y+15=\dfrac{4}{3}x+4[/tex]

Subtract 15 from both sides.

[tex]y=\dfrac{4}{3}x+4-15[/tex]

[tex]y=\dfrac{4}{3}x-11[/tex]

Therefore, the equation of the line representing the new road is [tex]y=\dfrac{4}{3}x-11[/tex].

EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT

Answers

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

write the equation of a line parallel to the line with an equation y=8x+6 and passes through the point (3,9)​

Answers

Answer:

y = 8x - 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x + 6 ← is in slope- intercept form

with slope m = 8

Parallel lines have equal slopes, thus

y = 8x + c ← is the partial equation

To find c substitute (3, 9) into the partial equation

9 = 24 + c ⇒ c = 9 - 24 = - 15

y = 8x - 15 ← equation of parallel line

Help please it’s confusing ⚠️⚠️

Answers

Y intercept= (0,4) slope= -4/5

is so eassy 2 puls 2

Answers

Answer:

4

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

show your work

7(x-8)=2x-31

Answers

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!!

Why is it important the order we write the vertices of a triangle in a congruent statement? SELECT ALL THAT APPLY!
The middle letter is the vertex of the angle.
The order tells us what sides are congruent.
The order does not matter
The order tells us what angles are congruent.

Answers

Answer:

The order tells us what sides are congruent.The order tells us what angles are congruent

It is important that we write the vertices of a triangle in a congruent statement, because it will tell us if the sides and angles are congruent.

Hope this helps you!

ix=5

3x+y

2x^{2}[/tex]


giving extra points cuz i need this questions to be answered ASAP please thanks :-)

Answers

Answer:

35

Step-by-step explanation:35

What is the equation in point slope form for a linear function with a slope of m=−4 that passes through the point (2,−7)?

Answers

Answer: y+7=-4(x-2)

Step-by-step explanation:

point slope formula is y-y1=m(x-x1)

it gives you m = -4

(x1,y1) = (-1,-7)

y-(-7) = -4(x-2)

negative of a negative number is positive

y+7=-4(x-2)

you leave that as your answer because thats  what point slope for is

its in that form ^  

The equation in point slope form for a linear function is [tex]y=4x+15[/tex]

Given the following points:

Points on the x-axis = 2 Points on the y-axis = -7 Slope, m = -4

To write an equation in point slope form for a linear function:

The standard form of an equation of line is given by the formula;

[tex]y-y_1=m(x-x_1)[/tex]

Where:

x and y are the points. m is the slope.

Substituting the given parameters into the formula, we have;

[tex]y-(-7)=-4(x-2)\\\\y+7=4x-8\\\\y=4x-8+7\\\\y=4x+15[/tex]

Read more: https://brainly.com/question/18123312

At the local coffee shop, they sell a reusable mug for $6. If you use the mug for a refill, the refill costs $1.30. Last month Jason spent $29.40 for the mug and refills. Which equation can be used to determine the number of refills, r, Jason purchased last month?

Answers

Answer:

r = 18

Step-by-step explanation:

6 + 1.30r = 29.40 [write out the equation]

-6 -6 [subtraction property of equality]

1.30r = 23.40

___ ____ [division property of equality]

1.30 1.30

r = 18

I hope it helps :)

Answer:

6 + 1.30r = 29.40

Step-by-step explanation:

What is the equation for this line?

Answers

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

m is the slope of the line,  [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept (value y at x = 0)

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

Pocndnsmwntjjwbsnsns. Dhaka be d

Answers

Answer: m = 4

Step-by-step explanation: 2x4+5=13, 2x4=8 and 8+5=13.

Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x.
What is the number?
plssssssssssssssss

Answers

X = mystery number

(X + 5) * -2 = 6

X+ 5 = -3
X = -8

how is a dilation different from other transformations?

Answers

A dilation changes the size of something

8v-34= 6(v-4)
Solve for v

Answers

Answer:

v=5

Step-by-step explanation:

8^ 1/3 what is it simplified

Answers

Step-by-step explanation:

Simplifying mixed numbers

Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.

Answer:

8^1/3= 2

:-))))

10.7+(-3.5) help plz

Answers

Answer:

7.2

Step-by-step explanation:

Hi there !

10.7 + (-3.5) =

= 10.7 - 3.5

= 7.2

Good luck !

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