solve the following equation for the variable indicated
15 = Зn + 6р, for n

Answers

Answer 1

Answer:

Solving the equation [tex]15 = 3n + 6p[/tex] for variable n we get [tex]\mathbf{n=5-2p}[/tex]

Step-by-step explanation:

We need to solve the equation [tex]15 = 3n + 6p[/tex] for variable n

Solving:

[tex]15 = 3n + 6p[/tex]

Subtract both sides by 6p

[tex]15-6p = 3n +6p -6p\\15-6p=3n[/tex]

Switch sides of equality

[tex]3n=15-6p[/tex]

Divide both sides by 3

[tex]\frac{3n}{3} =\frac{15-6p}{3}\\n=\frac{3(5-2p)}{3}\\n=5-2p[/tex]

So, solving the equation [tex]15 = 3n + 6p[/tex] for variable n we get [tex]\mathbf{n=5-2p}[/tex]


Related Questions

A basket contains 40 mangoes out of which 22 are good . Find the percentage of the mangoes that are bad​

Answers

Answer:

45% of the mangoes are bad.

Step-by-step explanation:

Given that:

Number of mangoes in basket = 40

Number of good mangoes = 22

Number of bad mangoes = Total mangoes - Good mangoes

Number of bad mangoes = 40-22

Number of bad mangoes = 18

Percent of bad mangoes = [tex]\frac{bad\ mangoes}{total\ mangoes}*100[/tex]

Percent of bad mangoes = [tex]\frac{18}{40}*100[/tex]

Percent of bad mangoes = 0.45*100 = 45%

Hence,

45% of the mangoes are bad.

Escribe la ecuación: Un balón de baloncesto cuesta 10€ menos que uno de fútbol. Si 10 balones de fútbol y 4 de baloncesto cuestan 310€.

Answers

Responder:

14x - 40 = 310

Explicación paso a paso:

Dado que:

El baloncesto cuesta 10 € menos que un balón de fútbol

10 balones de fútbol y 4 de baloncesto cuestan 310 €

Para formar una ecuación:

Deje que el costo de:

Balón de fútbol = x

Costo del baloncesto = x - 10

Por lo tanto,

Costo de 10 balones de fútbol = 10 * x = 10x

Costo de 4 pelotas de baloncesto = 4 * (x - 10) = 4x - 40

Coste total :

Coste del balón de fútbol + coste del baloncesto = 310 €

10x + 4x - 40 = 310 €

14x - 40 = 310

14x = 310 + 40

14 veces = 350

x = 25 € = coste del balón de fútbol

Coste del baloncesto = 25 € - 10 € = 15 €

Use the following excerpt from your printable table of random numbers to estimate the answer to the question below. 46370 55170 53480 49126 89212 75292 67291 88241 37808 38154 What is the probability that a group of 5 random digits will contain at least 3 even digits? (Zero is considered an even digit.) A. 2/5 B. 1/5 C. 4/5 D. 3/5​

Answers

Based on the random numbers given, the probability that 5 random digits will have at least 3 even digits is D. 3/5.

How many random numbers have at least 3 even digits?

Based on the given numbers, the numbers that have at least 3 even digits are 6.

They are: 46370, 53480, 49126, 89212, 88241, and 37808.

The probability out of 5 of at least 3 even numbers is:

= Number of 3 digit numbers / Total random numbers

= 6 / 10

= 3 / 5

Find out more on probability and random numbers at https://brainly.com/question/251701.

#SPJ1

Answer:

9/10

Step-by-step explanation:

Guy above is wrong, I took it just now.

Graph the equation.
y =
-3/4
(2+3)(x + 7)

Answers

The equation y =  -3/4  (2+3)(x + 7) is graphed in the image below.

8 ft
15 ft
What is the length of the hypotenuse?
C =
feet

Answers

Answer:

C = 17

Explanation:

C is the square root of a^2 + b^2

8^2 + 15^2

64 + 225

289

the square root of 289 is 17

ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation in
standard form for the weights of fish fand hamburger h that a customer could buy with $24.

Answers

Answer:

8.50f + 3.00h = 24

Step-by-step explanation:

What is the y-intercept of the equation y = 2x + 5

Answers

y-intercept is at 5.

from y = mx+b

m is the slope

b is the y-intercept.

Y intercept is at 5. The slope is 2

1. What is the slope of the line shown?

Answers

Answer:The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.

Step-by-step explanation:

6(-12+5)-3(-12) Help solve with work please.

Answers

Answer:

-6

Step-by-step explanation:

6 into -7 + 36

-42+36=-6

Answer:

Step-by-step explanation:

steps are stated below

step 1

6(-12+5)-3(-12)  equation

step 2

6(-12+5)-3(-12)  simplify the equation

(6)(-7)−(3)(-12)

-42-(3)(-12)

step 3

-42-(3)(-12)  times the number in the brackets

-42-(-36)

-6

HELP MEEE PLZ :( Saeed sells beaded necklaces. Each large necklace sells for 6.50 $ and each small necklace sells for4.90$ . How much will he earn from selling7 large necklaces and 6 small necklaces?

Answers

(6.50 * 7) + (4.90 * 6)
45.50 + 29.40 = 74.90
He will earn $74.90

Answer:

74.9

Step-by-step explanation:

6 of 10
As an estimation we are told £3 is €4.
Convert €32 to pounds.

Answers

Not for sure what your talking abt lol

Expand and simplify
√5 (√10+ √2)

Answers

60 for this is the answer


What is the image point of (2, 4) after a translation left 4 units and down 1 unit?

Answers

Answer:

the answer is (-2,3)

Step-by-step explanation:

when moving to the left you going across the x axis 4 times and going down once om the u axis

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

10 is the correct answer because the half of 24 is 12 -2 =10 is the answer

(Y-2,2x+1)=(x-1,y+2)

Answers

Answer:

what we have to find in this question

Need Help please stuck on this one.

Answers

Answer:

option D

Step-by-step explanation:

According to Pascal's triangle

1

1 1

1 2 1

1 3 3 1

it is clear the second term will have an integer coefficient of 3

Therefore 3(x)²(-1)¹

3x²(-1)=-3x²

When will Peter's baseball hit the ground? Use mathematical evidence to explain your answer.

Answers

Question:

The height of Peter’s baseball is given by the graph below (See attachment)

When will Peter’s baseball reach the highest height? What is the height?  When will Peter’s baseball hit the ground? Use mathematical evidence to explain your answer.

Answer:

Peter's baseball reached the maximum height at 1.5 secondsPeter's baseball hit the ground at 4 seconds

Step-by-step explanation:

The (a) & (b) will be answered by making reference to the attachment.

Solving (a): Time to reach maximum height

The height is plotted at the vertical axis while the time taken is at the horizontal axis.

From the attachment; the following details can be observed

The maximum height is at 90ftWhen the maximum height is traced to the horizontal axis, the corresponding time is 1.5s

Using function notations, this can be represented as:

[tex]f(1.5) = 90[/tex]

And the interpretation is that:

Peter's baseball reached the maximum height at 1.5 seconds

Solving (b): Time to hit the ground

The interpretation of this question is to solve for the x intercept of the graph.

From the attachment; the following details can be observed

The ground is at 0 feetThe corresponding time at 0 feet is 4s

Using function notations, this can be represented as:

[tex]f(4) = 0[/tex]

And the interpretation is that:

Peter's baseball hit the ground at 4 seconds

2
Solve for x. (must show your work for credit)"
(20 Points)
7x – 11
4x - 2
20
35

Answers

Answer:

x=9

Step-by-step explanation:

7x-11 = 4x-2

7x-4x=11-2

3x=9

x=9

If the product of the extremes is 8,then the geometric mean is
~2
~4
~2(square root sign)2

Answers

The geometric mean of two numbers is the square root of their product:

[tex]GM(a,b)=\sqrt{ab}[/tex]

So, if the product is 8, the geometric mean is [tex]\sqrt{8}=2\sqrt{2}[/tex]

What are two numbers that multiply to the value on top and add to the value on bottom

Answers

is this correct?

a * b = -70

a + b = -9......a = -9 - b

b(-9 - b) = -70

-b^2 - 9b + 70 = 0

(-b + 5)(b + 14) = 0

-b + 5 = 0

5 = b

b + 14 = 0

b = -14

ur numbers are -14 and 5

-14 * 5 = -70

-14 + 5 = -9

Antwan Campbell earns $494 per week. He is married and claims 1 child as a dependent. The state tax rate is 2.25% of taxable income. What amount is withheld from his weekly pay for state income tax?

Answers

Answer:

$12.35

Step-by-step explanation:

Amount earned by Campbell per week = $494

Tax rate = 2.25 %

Amount withheld = 2.25% of his earning;

Amount withheld = 2.25 % of 494

Amount withheld = 0.025 * 494

Amount withheld  = $12.35

Hence the amount withheld from his weekly pay for state income tax is $12.35

A triangle has three vertices located at A(-1, 2), B(-1, 5), and C(-4, 2). List the ordered pairs of the triangle after it has been translated four units to the right, reflected over the x-axis, and then rotated 90oclockwise about the origin.

Answers

Answer:

A’ is (-2,-3)

B’ is (-5,-3)

C’ is (2,0)

Step-by-step explanation:

We have three operations to perform;

a) translate 4 units right

means that we add 4 to the x-coordinate

b) Reflect over x-axis

If we reflect over x-axis;

(x,y) becomes (x,-y)

c) Rotate 90 degrees clockwise

(x,y) becomes (y,-x)

We have the following as the solution;

A( - 1,2)

Add 4 to x-coordinate

(3,2)

Reflect over x-axis

(3,-2)

Rotate 90 degrees clockwise

(-2,-3)

for B (-1,5)

Add 4 to x-coordinate

(3,5)

Reflect over x-axis

(3,-5)

Rotate

(-5,-3)

C; (-4,2)

Add 4 units to x-axis

(0,2)

Reflect

(0,-2)

Rotate

(2.0)

Need help as soon as possible I will seriously gift brainlist at this point

Answers

Answer:

15

Step-by-step explanation:

you basically have to multiply -3 by x to get y

-3·(-3)=9

-7·(-3)=21

so -5·(-3)=15

4. Ollie has a jar of preserves in the shape of the cylinder. If the jar is currently , full of preserves,
what is the volume of preserves in the jar?

Answers

Answer: D. 25.12 units3

Step-by-step explanation:

Answer: D

Step-by-step explanation:

so first you need to find the volume of the cylinder which is 100.53

Next, you need to divide the volume by 1/4 which will give you 25.13

PLEASE ASAP, DONT LIE ABOUT THE ANSWER, I'LL KNOW.

Answers

Answer:

The answer is graph b

Step-by-step explanation:

If you look at the other graphs closely, you'll find that they are wrong because they are not in correlation with the inequalities given

I hope it helps

Which ratio would form a proportion with 24/54

Answers

Answer:

4:9 or 4/9

Step-by-step explanation:

4/9 is the simplified version of 24/54.

Answer:

4:9 or 4/9

Step-by-step explanation:

because when we cut of the number in simpler form so this answer comes.

Manuel bought a 3/5 of a pound of clay for the students in his pottery class. He then divided the clay into 6 equal pieces for his students to use for making vases and pots. How much did each piece weigh?
Group of answer choices

Answers

Answer:

Each piece weighed 1/10 of a pound.

Step-by-step explanation:

We have 3/5 of a pound and we want to divide it by 6 equal pieces for each student. 6 equal pieces is the same as 6/1.

In order to divide 3/5 by 6/1 we need to invert the 6/1 and multiply. So, it becomes 3/5 x 1/6. First, we multiply the numerators: 3x1=3 then we multiply the denominators: 5x6=30. The result is 3/30, which can be reduced by dividing both the numerator and denominator by 3. 3/3=1 and 30/3=10. So, the result is 1/10.

Juan wants to earn more than $52 trimming trees. He charges $8 per hour and pays $4 in equipment fees. What are the possible numbers of hours Juan could trim trees? Use t for the number of hours. Write your answer as an inequality solved for t .​

Answers

Answer:

He has to work for more than 8 hours.

Step-by-step explanation:

8t + 4 > 52

8t + 4 - 4 > 52 - 4

8t > 48

8t/8 > 48/8

t > 8

$229.95 with 25% off (SHOW WORK)

Answers

Answer:

$172.46

Step-by-step explanation:

Discount = 229.95 × 25/100

Discount = 229.95 x 0.25

= $57.49

Final Price = 229.95 - 57.4875

= $172.46

Factor the algebraic expression 28a + 24

Answers

Answer:

4(7a+6)

Step-by-step explanation:

Factor 28a+24

28a+24

=4(7a+6)

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