Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends Frazer gets 3 more trees than Sally Sally gets 7 fewer trees than flame How many trees do each of his friends get?

Answers

Answer 1

Answer:

Frazer = x = 10 trees

Sally = y = 7 trees

Frame = z = 14 trees

Step-by-step explanation:

We have 3 friends

They are represented by:

Frazer = x

Sally = y

Frame = z

Total number of trees donated = 31

Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends

Frazer gets 3 more trees than Sally

x = y + 3

Sally gets 7 fewer trees than Flame

y = z - 7

z = y + 7

How many trees do each of his friends get?

x + y + z = 31

y + 3 + y + y + 7 = 31

3y + 10 = 31

3y = 31 - 10

3y = 21

y = 21/3

y = 7 trees

x = y + 3

x = 7 + 3

x = 10 trees

z = y + 7

z = 7 + 7 trees

z = 14 trees

Therefore:

Frazer = x = 10 trees

Sally = y = 7 trees

Frame = z = 14 trees


Related Questions

What transformation is represented by the rule?

Answers

Answer:

rotation 180 about the origin

Step-by-step explanation:

Answer:

Rotation of 180° about the origin.

57.42
A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds.
What is the acceleration?
-13 m/s2
0-6 m/s2
6 m/s2
13 m/s2

Answers

Hi there!

[tex]\large\boxed{a = 6 m/s^{2}}[/tex]

Use the kinematic equation to solve for acceleration:

[tex]a = \frac{v_{f}-v_{i}}{t}[/tex]

Where:

vf = final velocity

vi = initial velocity

t = time

Plug in the given values:

[tex]a = \frac{65-35}{5}\\\\a = 30 / 5 \\\\=6 m/s^{2}[/tex]

What is the first step to isolate the variable term on one side of the equation?

Answers

Answer:

The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.

Step-by-step explanation:

What is the sale price

Answers

Answer:

the answer is $24

Step-by-step explanation:

more filler stuff

Answer:

8$

Step-by-step explanation:

to get the answer multiply the orignial price by .75

then subtract that number from the original.

if you dont mind giving a rating on this thanks :)

Find the value of x + 3.
X + 3
18 cm
2x - 4

Answers

Answer:

B. 14

Step-by-step explanation:

Those little lines on the sides of the triangles shows you which side is congruent to which, so x + 3 is congruent to the other triangle side which one small line, and 18cm and 2x - 4 is congruent.

2x - 4 = 18

add 4 to both sides

2x = 22

divide by 2

x = 11

Replace the x with 11

x + 3

11 + 3

14

Find the median of the following set of data 12,20,1,20,8

Answers

Answer:

ok, i hate questions like these because i don't want to answer them

Step-by-step explanation:

Which order pair name point F
A(6,6)
B(-6,-6)
C(-6,6)
D(6,-6)

Answers

Answer:

B

Step-by-step explanation:

You move left 6 times which would be -6 and you move down 6 times which would also be -6

What is the equation of the line that passes
through the points (2, 2) and (4, - 7)?

Answers

Answer:

y=−9/2x+11

Step-by-step explanation:

x +4/2 = 9
What’s z?

Answers

Answer:

x+4/2=9       x=14

Step-by-step explanation:

14+4=18 and 19/2 is equal to 9. Therefore the answer is 14.

A​ 150-pound person uses 5.1 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 230 ​calories?

Answers

Answer: 45.1 minutes

Step-by-step explanation:

From the question, we are informed that a 150-pound person uses 5.1 calories per minute when walking at a speed of 4 mph. The number of.

minutes that the person must walk at this speed to use at least 230 ​calories will be:

Let the number of minutes to walk be represented by x

(5.1 × x) = 230

5.1x = 230

x = 230 / 5.1

= 45.1 minutes

brainlyyy!!!!!! pls help

Answers

Answer:

2 juices

because 32 is 16 multiplied by 2, so to get the answer, you have to multply everything by two, and sense it does't ask for the amount of ounces, you simply say, to juices

hope i helped......

Answer:

12 OUNCES

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

In the diagram below, AB || CD, AD || BC, m ABC = 106°, mZVEE = 36° and mCCB= 42°. Find m DEC.

Answers

Answer:

wheres the diagram

Step-by-step explanation:

Two factory plants are making tb panels. yesterday, plant a produced 18,000 panels. two percent of the panels from plant a and 6% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 3%?

Answers

Plant B produces 6000 panels.

Given that, Plant A produces 18,000 panels out of 2% are defective and 6% of the panels produced by Plant B are defective.

Defective percentage : It is the number of defects divided by the sample size, multiplied by 100. So, if one tool is defective out of a sample size of 1,000, your percent defective is 0.1 percent.

No. of Defective Panels from Plant A + No. of Defective Panels from Plant B = Total No. of Defective panels

Let No. of Panels produced from Plant A = A and No. of Panels produce from Plant B = B

2% of 18000 + 6% of B = 3% of (18000 + B)

360 + 0.06*B = 0.03( 18000 + B)

360 + 0.06* B = 540 + 0.03*B

0.06*B - 0.03B = 540-360

0.03*B = 180

 3B = 18000

B = 6000

CHECK:

2% of 18000 + 6% of 6000 = 360+360 = 720 defectives

18000 + 6000 = 24000

720 out of 24000 = 720/24000 = 72/2400 = 3%

Hence, Plant A produces 18000 panels and 2% of them , or 360, are defective.

Plant B produces 6000 panels and 6% of them,  or 360, are defective.

Learn more about defective percentage here brainly.com/question/17646647

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Plot the x- and y-intercepts to graph the equation.
Y =
= 1x – 1

Answers

Answer:

plot points (0, -1) and (3, 0)

Step-by-step explanation:

compare the given equation to

y=mx +b where b is the y-intercept

y= 1/3 x -1 so thhe y-intercept is at point (0, -1)

to find the x-intercept make y=0

x/3  -1 =0

x/3  =1

x= 3 so x-intercept is at point (3, 0)

HARD QUADRATICS!!!! A quadratic of the form $-2x^2 + bx + c$ has roots of $x = 3 + \sqrt{5}$ and $x = 3 - \sqrt{5}.$ The graph of $y = -2x^2 + bx + c$ is a parabola. Find the vertex of this parabola.

Answers

Answer:

hold up this will take a min to work out

Step-by-step explanation:

I need help with the car questions. Pls it’s due in 10 minutes

Answers

Answer:

1250 7500 3

Step-by-step explanation: im just smart

Question1Circle A has a diameter of 9 cm. Circle B has a radius of 5 cm. Circle has the larger circumference by centimeters. Use LaTeX: \pi=3.14,Question2 A circle's circumference is approximately 44 cm. Complete each statement using one of these values: 7, 11, 14, 22, 88,138, 154, 196, 380, 616.


a. The circle's diameter is approximately cm.


b. The circle's radius is approximately cm.


c. The circle's area is approximately cm2.

Answers

Answer:

1.) CIRCLE B

2.) 14 cm ; 7cm ; 154cm²

Step-by-step explanation:

Given that:

CIRCLE A:

Diameter (d) = 9cm

CIRCLE B:

Radius (r) = 5cm

Circumference of circle A:

Radius (r) = diameter / 2

C = 2 * pi * r = 2 * 3.14 * (9/2) = 28.26 cm

Circumference of Circle B:

C = 2 * pi * r = 2 * 3.14 * 5 = 31.4 cm

CIRCLE B has the larger Circumference.

2.) circle with Circumference (C) = 44cm

Diameter of circle ;

C = 2 * pi * (d/2)

44 = 2 * 3.14 * (d/2)

44 = 6.28d / 2

88 = 6.28d

d = 14.01 = 14.0 cm ( 1 decimal place)

B.) Circle's Radius

Radius = diameter / 2

Radius = 14.0 / 2 = 7 cm

C.) Area (A) of the circle :

A = pi * r^2

A = 3.14 * 7^2

A = 3.14 * 49

A = 153.86

A = 154 cm²

1.Find the compound interest on Rs25000 for 3 years at 10% per annum ,Compounded annually.
Plzz answer this question in step by step explanation.

Answers

Answer:

The compound interest is Rs8275

Step-by-step explanation:

The rule of the compound interest is A = P[tex](1+\frac{r}{n})^{nr}[/tex], where

A is the new amountP is the initial amountr is the interest rate in decimaln is the number of periodst is the time

The interest I = A - P

∵ The amount of investment is Rs25000 for 3 years

P = 25000

t = 3

∵ The rate of interest is 10% per annum, compounded annually

r = 10% = 10 ÷ 100 = 0.1

n = 1 ⇒ compounded annually

→ Substitute these value in the 1st rule above to find the new amount

∵ A = 25000[tex](1+\frac{0.1}{1})^{1(3)}[/tex]

∴ A = 25000[tex](1.1)^{3}[/tex]

A = Rs33275

→ Use the 2nd rule above to find the interest

I = 33275 - 25000

∴ I = 8275

The compound interest is Rs8275

What IS 1 + 1 in monkey math?

WILL GIVE BRAINLIEST!!​

Answers

2 of course 1+1=2 ik what your talking ab

Find the slope of the line satisfying the given conditions

a) through (-3,4) and (2,-8)

b) through (5,-3) and (1,-7)​

Answers

Answer:

a) The slope of the line is [tex]-\frac{12}{5}[/tex]

b) The slope of the line is 1

Step-by-step explanation:

The rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

a)

∵ The line passes through points (-3, 4) and (2, -8)

∴ x1 = -3 and y1 = 4

∴ x2 = 2 and y2 = -8

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-8-4}{2--3}[/tex] = [tex]\frac{-12}{2+3}[/tex] =  [tex]\frac{-12}{5}[/tex]

∴ m = [tex]-\frac{12}{5}[/tex]

The slope of the line is [tex]-\frac{12}{5}[/tex]

b)

∵ The line passes through points (5, -3) and (1, -7)

∴ x1 = 5 and y1 = -3

∴ x2 = 1 and y2 = -7

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-7--3}{1-5}[/tex] = [tex]\frac{-7+3}{-4}[/tex] = [tex]\frac{-4}{-4}[/tex]

∴ m = 1

The slope of the line is 1

What strategy would be the best to solve this problem?

A theater charges $8 for an adult ticket, and $6 for a children's ticket. On a certain day, a total of 255 tickets were sold for a total cost of $1,850. How many more children's tickets were sold than adult tickets?
A. guess, check and revise
B. use a formula
C. work backwards
D. look for a pattern

Answers

Answer:

B

Step-by-step explanation:

By making an equation where x = number of adult tickets and y = number of children tickets, we can get 2 equations:
8x + 6y = 1850
x + y = 255
then we solve the equation to get each of the amounts

What is the number 2.0847 to 2 decimal places?

Answers

Answer:

2.08

Step-by-step explanation:

2.08 is the answer have a wonderful day

Whats The Answer Marking Brainliest, Please explain your answer:D.......

Answers

Answer:

D

Step-by-step explanation:

D is the only answer given as a ratio, the rest are not.

Answer:

D

Step-by-step explanation:

It is given in ratio and looks correct.

HELP ASAP!
Write an inequality that would have the solution shown
on the graph.

Answers

-6 less than equal to x less than 4

I need helpp please​

Answers

Answer:

A, 0.07 x 0.06 =0.42.

Step-by-step explanation:

PLEASE HELP FAST I WILL GIVE EXTRA POINTS! Make sure you read the question!

Answers

Answer:

c

Step-by-step explanation:

What is the solution to –(6m + 8) = 4(17 – m)?

Answers

-6m - 8 = 68 - 4m

-6m + 4m = 68 + 8

-2m = 76

-2m/-2 = 76/-2

m = -38

lebron is comparing flights departing from minneapolis. which 222 ways could lebron find the flight with the fastest average speed? choose 2 answers: choose 2 answers:

Answers

This problem is incomplete, but applying the relation between velocity, distance and time, LeBron could find the flight with the fastest average speed dividing distance by time.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

v = d/t.

Hence, to find the fastest flight, he needs the highest speed, which is found  dividing distance by time.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

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Answer:

Step-by-step explanation:

help me 20 POINTS
math math math by the way do questions 10 and 13 on page 176

Answers

Answer:

Step-by-step explanation:

12.

13. Yes it is propoitinal because they are even

the perimeters of two squares are in the ratio 2 : 7. What is the ratio of the area of the smaller square to the area of the larger square

Answers

The ratio of the area of the smaller square to the area of the larger square, that have a perimeter ratio of 2:7 is 4:49

What is the ratio of the area given the ratio of the perimeters of the squares?

The ratio of the perimeter of the squares = 2 : 7

Required: The ratio of the area of the smaller square to the larger square.

Solution: The perimeter of a square of side x is 4•x

The comparative length of the side of each square are therefore;

2/4 and 7/4

The comparative area are therefore;

(2/4)² and (7/4)²

The ratio of the areas of the square is therefore;

(2/4)² : (7/4)² = 1/4 : 49/16

Multiplying both sides of the ratio by 16 gives;

16×1/4 : 16×49/16

4:49

The ratio of the area of the smaller square to the area of the larger square is 4 : 49

Learn more finding the area of common shapes here:

https://brainly.com/question/15161819

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