Solve the proportion for k: 5/3 = ( k + 7 )/12

Answers

Answer 1

Answer: k = 13

5/3 = (k + 7)/12

⇔ 12.5/3 = k + 7

⇔ 20 = k + 7

⇔ k = 20 - 7

⇔ k = 13

Step-by-step explanation:

Answer 2

Answer:

k = 13

Step-by-step explanation:

To get k by itself, multiply both sides by 12 (left with 20 = k + 7). Next, subtract 7 from both sides (13 = k).


Related Questions

Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.

Answers

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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20 points!!
The equation y = x + 3 represents a linear function. Which ordered
pair does not lie on the graph of this function?
A) (-10, -7)
B) (13, 16)
C) (-14, -11)
D) (-20, 17)

Answers

Answer:

D) (-20, 17)

Step-by-step explanation:

y = x + 3 (substitute the numbers & check if the equation is still true)

-7 = -10 + 3 -> -7 = -7

16 = 13+3 -> 16 = 16

-11 = -14 + 3 -> -11 = -11

17 = -20 + 3 -> 17 = -17 (not true)

what is the expression for x increased by 12

Answers

Answer:

The answer is x + 12

Step-by-step explanation:

The expression for x increased by 12

i.e.,

x + 12

Thus, The answer is x + 12

-TheUnknownScientist 72

Answer:

x + 12

Step-by-step explanation:

To answer x increased by 12, we know that you are adding 12 to x. So that means the equation is x + 12

A crop scientist is conducting research with a drought resistant corn hybrid. She is interested in determining if increasing the spacing between these plants will increase yield. She prepares 30 single acre plots and randomly assigns 15 to have normal spacing while the other 15 are planted with an expanded spacing. The resulting average yield for each group of 15 plots was recorded.

Select all that apply.

Select one or more:
a. The explanatory variable is whether the corn plants had normal spacing or expanded spacing.
b. The response variable is the yield of the crops.
c. The explanatory variable is the yield of the crops.
d. The response variable is whether the corn plants had normal spacing or expanded spacing.
e. This study is best described as an experiment.
f. This is best described as an observational study.

Answers

Answer:

A , B and E.

Step-by-step explanation:

the scientist can control and deal with the measure of manure that is given to a solitary corn plants. thus A is correct.

The reaction variable is the yield recorded for each plot due to the fact that the yield recorded in each plot is needed to check  whether the compost is given or not. choice B is also correct

it's considered an experiment because the specialist is controlling the autonomous variable. then E is a right choice.

The explanatory variable is whether the corn plants had normal spacing or expanded spacing.

The response variable is the yield of the crops.

This study is best described as an experiment.

select all values for b that make the equation 8(x - 3) = 2x + b + 6x have no solutions for x. -24 -3 3 24​

Answers

-------------------------------------------------------------------------------------------------------------

Answer:  \(\textsf{B (-3), C (3), and D (24)}\)

-------------------------------------------------------------------------------------------------------------

Given:  \(\textsf{8(x - 3) = 2x + b + 6x}\)

Find: \(\textsf{Which values for b are not a solution}\)

Solution: In order to make it easier for us to determine the answer, let us first simplify the expression that was given to us.  We can do that by first combining like terms on the right side of the equation and distributing the 8 on the left side of the equation.

\(\textsf{8(x - 3) = 2x + b + 6x}\)\(\textsf{(8 * x) + (8 * -3) = 8x + b}\)\(\textsf{8x - 24 = 8x + b}\)

We can now subtract 8x from both sides of the equation.

\(\textsf{8x - 8x - 24 = 8x - 8x + b}\)\(\textsf{-24 = b}\)

Now that we know that b is equal to -24, that means that any value other than -24 would cause the equation to have no solutions.  Therefore, the correct answer would be B (-3), C (3), and D (24).

f (x) = x squared What is f(x) + f(x) + f(x)?

Answers

Answer:

Step-by-step explanation:

fx^3

I think the Awnser is fx^3 I’m not sure


Laura invests $100 in an account that continuously compounds. In 50 years, her money will triple. What is the interest rate for this account

Answers

Answer:

its something close 5%

Step-by-step explanation:

−5 1/3 ÷ 2 3/4? plz hurry when you answer pls

Answers

Answer:

I got -1 31/33

Step-by-step explanation:

Answer:

please see picture above

5 1/3 2 3/4? plz hurry when you answer pls

PLEASE HELP!!
Which inequalities are correct?

Select TWO correct answers.

A. 1.2 <√5/2<1.8
B. √3/2<√2 < 1.5
C. 2.1<2.3<√5
D. √6<2.5<√7
C. √3 < 1.8 < √7/2

Answers

The correct inequalities are:

B. √3/2 < √2 < 1.5

D. √6 < 2.5 < √7

What are inequalities?

In mathematics, an inequality is a statement that two values or expressions are not equal. Instead, one value or expression is greater than or less than the other. Inequalities are commonly used to compare quantities or to describe ranges of values.

What are the types of inequalities?Linear Inequalities: These are inequalities that involve linear functions, which are functions that have a degree of 1.Quadratic Inequalities: These are inequalities that involve quadratic functions, which are functions that have a degree of 2.Polynomial Inequalities: These are inequalities that involve polynomial functions, which are functions that can have any degree. Rational Inequalities: These are inequalities that involve rational functions, which are functions that are ratios of polynomials.

In the given question,

The correct inequalities are:

B. √3/2 < √2 < 1.5

D. √6 < 2.5 < √7

Option A is incorrect because the value of √5/2 is approximately 1.118 and 1.2 < 1.118 < 1.8 is not true.Option C is incorrect because the value of √5 is approximately 2.236 and 2.1 < 2.3 < 2.236 is not true.Option E is incorrect because the value of √7/2 is approximately 1.323 and √3 < 1.8 < 1.323 is not true.

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Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common difference and if it is geometric find the common ratio? and please do not give me a stupid answer only smart people answer this if you know the answer to this you are smart.

Answers

Answer:

Step-by-step explanation:

The sequence is nor properly written. This is correct sequence

49, 36, 25, 16, 9, 4, 1...

Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.

The values of the sequence are all perfect squares.

Rewriting the sequence;

7², 6², 5², 4², 3², 2², 1²...

Now we can see that the base values for an arithmetic sequence as shown:

7, 6, 5, 4, 3, 2, 1...

We find the common difference of this sequence as shown

d = T2-T1 = T3-T2 = T4-T3

Given T1 = 7, T2 = 6, T3 = 5, T4 = 4

Substitute

d = 6-7 = 5-6 = 4-5 = -1

d = -1

Get the nth term using the sequence

Tn = a+(n-1)d

a is the first term

d is the common difference

n is number of terms

Tn = 7+(n-1)(-1)

Tn = 7+(-n+1)

Tn = 7+1-n

Tn = 8-n

Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;

Tn = (8-n)²

To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.

70 POINTS Find the slope of the line pictured in the graph

-2
2
-1/2
1/2

70 POINTS Find the slope of the line pictured in the graph-22-1/21/2

Answers

The slope of the line passing through the coordinates (0, 0) and (6, 3) is 1/2

Slope of a line

The formula for calculating the slope of a line is expressed according to the equations:

Slope = y₂-y₁/x₂-x₁

Using the coordinate points (0, 0) and (6, 3) on the line. On substituting, we will have;

Slope = 3-0/6-0

Slope = 3/6

Simplify

Slope =1/2

Hence the slope of the line passing through the coordinates (0, 0) and (6, 3) is 1/2

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Determine the critical value for a 98% confidence interval when the sample size is 12 for the t ‑distribution. Enter the positive critical value rounded to 3 decimal places.

Answers

Answer:

+2.718

Step-by-step explanation:

from the question,

the sample size is 12

therefore the degree of freedom,

df = 12 - 1

= 11

alpha = 1 - 0.98

= 0.02

this is because the confidence level is 98%

under the t distribution table, a degree of freedom of 11 and 0.02 alpha level = 2.718

the critical value t* = 2.718

I hope this helps!

(b) Kala runs 6 miles in 44 minutes.
How many miles does she run per minute?
miles per minute

Answers

Answer:

0.1364 miles per minute

Step-by-step explanation:

time = pace × distance

time = pace time per unit distance × distance

distance = time / pace

distance = time / pace time per unit distance

pace = time / distance

pace time per unit distance = time / distance

speed = distance / time

speed distance per unit time = distance / time

car rental agency charges a base rate plus a certain amount per day (d) and can be modeled using the expression 15+ 18d. What is the meaning of 18d in the expression? *
4 points
It is the base rate to rent a car.
It is the cost of renting a car for a day.
It is the total number of days a car can be rented.
It is the portion of the cost based on renting a car for d days.

Answers

Answer:

It is the portion of the cost based on renting a car for d days

Step-by-step explanation:

Given:

Total cost = 15 + 18d

Total cost = fixed cost + variable cost

Fixed cost are cost that do not change.

Fixed cost = base rate = 15

Variable cost changes during production process. The variable cost in the above varies with the number of days (d)

Therefore, 18d is the portion of the cost based on renting a car for d days.

If you rent the car for 1 day

Total cost = 15 + 18d

= 15 + 18(1)

= 15 + 18

= 33

please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F

Answers

Answer:

I think its C

Step-by-step explanation:

When solving the equation x-5=-12 what should you do to both sides of the equation?
A: add 5
B: subtract 5
C: multiply by 5
D: divide by 5

Answers

Answer: B. subtract

Step-by-step explanation: x-5=12

5-5

Answer:

Hello. The answer is A.

Step-by-step explanation:

You should add five to left side to make x alone.

For avoiding changing the equation you should add another five to left side.

I hope you understand

Write equations for the vertical and horizontal lines passing through the point (-5,8).

Answers

Answer:

Vertical line is just the x coordinate

x = -5

Horizontal line is just the y coordinate

y = 8

Write equations for the vertical and horizontal lines passing through the point (-5,8).

!Can SOME1 Help! Help FAST

A gym membership has an enrollment fee of $25 and costs $33 each month. Which expression represents the cost of the gym membership for m months?

A. 25+33m=c
B. 25+33m
C. 33+25m=c
D. 33+25m

Answers

Answer:

A. 25+33m=c

Step-by-step explanation:

Because gym membership for m month will cost the enrollment fee along with the monthly fee multiplied by the number of months (m).

So, the expression will be:

25 + 33m = c


Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates

slope: 7/9
ordered pair: (0,-8/9)

Answers

the general equation of a straight line is y=mx+c

m is the slope and is given 7/9 we can plug in the point to get c.

now we wil have

\( \frac{ -8 }{9} = \frac{7}{9} (0) + c \\ c = \frac{ - 8}{9} \)

\(y = \frac{7}{9} x - \frac{ 8}{9} \)

Consider the following table:
X: 5 , -1 , 0 , -3 , 4
Y: 0 , 6 , 5 , 8 , 1

Which graph corresponds to this table?

Consider the following table: X: 5 , -1 , 0 , -3 , 4 Y: 0 , 6 , 5 , 8 , 1Which graph corresponds to this

Answers

the equation of straight line y=-x+5

Define straight line

A straight line is a geometric object that extends infinitely in both directions and has a constant slope or gradient. It is the shortest path between two points in Euclidean space and is characterized by the equation y = mx + b, where m is the slope or gradient of the line and b is the y-intercept, which is the point where the line intersects the y-axis.

Let the equation of straight line be y=mx+c

Putting the values;

x=5

y=0

5m+c=0…..Equation 1

Putting the values;

x=0

y=5

5=c

Putting value of c in equation1, we get

5m+5=0

m=-1

Hence, the equation of straight line y=-x+5

Image  of graph is attached below

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Consider the following table: X: 5 , -1 , 0 , -3 , 4 Y: 0 , 6 , 5 , 8 , 1Which graph corresponds to this

Please gimme the variables to define the sytem and 2 system of equations

Please gimme the variables to define the sytem and 2 system of equations

Answers

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

1/x-x/6=2/3 how to answer this​

Answers

Answer:

x = 0.1

Step-by-step explanation:

1/x - x/6 = 2/3

1/ x - 6/x = 2/3

6/x = 2/3

6x = 2/3

x = 0.1

Answer:

x = 0.2

Step-by-step explanation:

1/x - x/6 = 2/3

=> 1/x - x = 2/3 * 6

=> 1/x - x = 12/3

=> 1/x - x = 4

=> 1/x - x/1 = 4 (x = x/1 )

=> 1 - x/1 = 4 * x

=> -x/1 = 4x - 1

=> -x/1 -4x = -1

=> -5x/1 = -1

=> x = -1/-5

=> x = 0.2 (Because negative / negative = positive)

If I am wrong please tell me.

If my answer helped, kindly mark me as the brinliest!!

Thanks!!

Factor out of the GCF of the three terms, then complete the factorization of 3x^3 + 9x^2 - 30x

Answers

Answer:

  3x(x+5)(x-2)

Step-by-step explanation:

You want the complete factorization of 3x^3 + 9x^2 - 30x after first removing the greatest common factor.

GCF

The greatest common factor will be the lowest powers of the factors that are common to the three terms:

  3·x³

  3²·x²

  2·3·5·x

The common factors are 3 and x. Their lowest powers are 1, so the GCF is 3x.

Finish factoring

After factoring out 3x, we have a quadratic factor:

  = 3x(x² +3x -10)

To factor this, we look for factors of -10 that have a sum of +3. Those are -2 and +5. This tells us the complete factorization is ...

  = 3x(x -2)(x +5)

Which graph represents the function p(x) = |x – 1|?

On a coordinate plane, an absolute value graph has a vertex at (0, 1).

On a coordinate plane, an absolute value graph has a vertex at (negative 1, 0).

On a coordinate plane, an absolute value graph has a vertex at (0, negative 1).

Answers

The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

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Surface area 5cm and 6cm

Answers

Answer:

I think its 5 x 6 or 5 x 5 x 6 it'd be helpful to have a graph or something but 5 x 6 = 30 and 5 x 5 x 6 = 150

Jace and jake are brothers and are having a spring party. They will be inviting a lot of friends. There will be a total of 14 people at the party. They will have pizza and soda pop and watch a movie. The soda pop comes in 6 packs and costs $2. 98 per pack. Pizza costs $6.75 each is cut into a slices. The movie costs $4.25 to rent. Each small table can seat 4 people. How many 6 packs of soda do jace and jake need to buy if each person has one pop?

Answers

Answer:

3 packs of sodas would need to be bought.

Step-by-step explanation:

6  x 2 = 12 which isn't enough

6 x 3 = 18 which is more than enough

what is the value of x? two angles
8x-8, 7x+8

Answers

15x due to -8+8 being 0

Answer:

Step-by-step explanation:

8x - 8 = 7x + 8

x - 8 = 8

x = 16

8(16) - 8= 128 - 8 = 120

7(8) + 8 = 56+8 = 64

if 4x + 8x + 12x + 16x is equal to 5 + 10 + 30 + 40 then what is the value of x​

Answers

Answer:

x=2.125

Step-by-step explanation:

40x=85

x=85/40

x=2.125

Group C
(4 x 6 = 2
17. If the cost of 8 book is Rs 520, find the cost of 10 books.​

Answers

cost of 8 books = 520 AED

we can do this using direct proportion

8/520 , 10/x

(cross multiply

= 8x = 520 x 10

= 8 x 5200

x = 5200/8

x =  650 AED

therfore,

cost of 10 books is 650.

On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent
On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent p text messages each hour for 4 hours. Which of the
following represents the total number of messages
sent by Armand and Tyrone on Saturday afternoon
A) 9mp
B) 20mp
C) 5m + 4p
D) 4m + 5p

Answers

Answer: C

Step-by-step explanation: Since Armand sent m text messages each hour for 5 hours, he sent 5m msgs. Tyrone sent p text messages each hour for 4 hours, he sent 4p msgs. To find the total we add 5m + 4p together.

Would appreciate brainly btw <3

The total number of messages sent will be 5m + 4p. Then the correct option is C.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

On a Saturday afternoon, Tyrone and Armand exchanged p texts per hour for 4 hours and m texts per hour for 5 hours.

Then the expression that represents the total messages is written as,

⇒ 5 × m + 4 × p

⇒ 5m + 4p

The total number of messages sent will be 5m + 4p. Then the correct option is C.

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