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

Pls be right will give brainliest

Answers

Answer:

The answer is D.

Step-by-step explanation:

7/12+1/3 show your work and how you got your answer and you do all that and don’t scam me I will give branlist

Answers

Answer: 11/12

Step-by-step explanation:

7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:

7/12 + 4/12 = 11/12

11/12 is in simplest form, so that should be correct! Hope this helps! :)

Step-by-step explanation:

Hi so are we dating?????

What is the equation in slope intercept form of a line that passes through the point (-3,-11) and is parallel to the line y=2x-4?

Answers

Step-by-step explanation:

hey i hope this helps idk if its clear enough but yeah

Help please!
Thank you!

Answers

Assuming that a car gets 28 miles per gallon of gas, how many gallons of gas are required for the car to go 560 miles?

Answer:

81

Step-by-step explanation:

y= x²

if x= 9 substitute x with 9 in the equation

y= 9² = 81

i really need help,please. also happy holidays!

Answers

Answer:

D

Step-by-step explanation:

Can someone please help?!

Answers

Answer: B

Explanation:










Erin owns 48 movies on DVD. Three eighths of the movies are comedies, 1/3 are dramas, 1/4 are action adventure, and the rest are science fiction. What part of her movie collection is science fiction?

Answers

Science fiction = 1/24

Tickets numbered 4, 5, 6......48, 49 are placed in a box and mixed thoroughly. One ticket is drawn from the box. Find the probability that the number on the ticket is:
(i) an even number (ii) A number less than 16
(iii) a perfect square (iv) a prime number less than 30.

Answers

Answer:

i) The probability that the number on the ticket is even is [tex]\mathbf{\frac{1}{2}}[/tex]

ii) the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]

iii) The probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]

iv) the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]

Step-by-step explanation:

Tickets numbers are: 4, 5, 6......48, 49

So, total tickets in box = 46

We need to find probability that the number on the ticket is:

i) an even number.

Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48

Total number of favourable outcomes = 23

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 23

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{23}{46}\\Probability=\frac{1}{2}[/tex]

So, the probability that the number on the ticket is an even number is [tex]\mathbf{\frac{1}{2}}[/tex]

ii) A number less than 16

Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15

Total number of favourable outcomes = 12

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 12

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{12}{46}\\Probability=\frac{6}{23}[/tex]

So, the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]

iii) a perfect square

Perfect squares are: 4,9,16,25,36

Total number of favourable outcomes = 5

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 5

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{5}{46}[/tex]

So, the probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]

iv)  a prime number less than 30.

Prime numbers less than 30 are: 5,7,11,13,17,19,23,29

Total number of favourable outcomes = 8

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 8

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{8}{46}\\Probability=\frac{4}{23}[/tex]

So, the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]

PLEASE HELP FAST ILL GIVE BRIANLIST AND EXTRA POINTS!
What expression is equivalent to

Answers

Answer:

A

Step-by-step explanation:

Okay.

A negative exponent means we want to "flip" the term.

so we get

(1/-c^2)^1/3

When we get a fraction exponent, we want to "root" the term by that

so we get

[tex]\sqrt[3]{\frac{1}{-c^2} }[/tex]

Which simplifies to

[tex]\frac{\sqrt[3]{1} }{\sqrt[3]{-c^2} }[/tex]

Which becomes[tex]1/\sqrt[3]{-c^2}[/tex]

Jenny was doing laundry. She folded 10
towels and divided them evenly into p
piles. Which expression represents the
number of towels in each pile?

Answers

10 / p
(10 divided by p)
10 divided by p!!!!!!!!!!!

simply 8/-4 dived by -3/9

Answers

Answer:

-6

Step-by-step explanation:

The graphs of y= ‐4x and y= ‐4x+2 are shown. Use the drop-down menus to complete the statements.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is diffusion
Explain how blood clots
When was the first world war fought ​

Answers

Answer:

Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.

Step-by-step explanation:

Choose the answer that validates that the rate of change is constant by showing that the ratios of the two quantities are proportional and equivalent to the unit rate (simplified constant rate of change): NUMBER OF TEXTBOOKS Number of Students Number of Textbooks 7 35 14 70 21 105 28 140

Answers

Given:

The table of values is

Number of Students   :  7    14   21    28

Number of Textbooks : 35  70  105  140

To find:

The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

Solution:

The ratio of number of textbooks to number of students are

[tex]\dfrac{35}{7}=5[/tex]

[tex]\dfrac{70}{14}=5[/tex]

[tex]\dfrac{105}{21}=5[/tex]

[tex]\dfrac{140}{28}=5[/tex]

All the ratios of the two quantities are proportional and equivalent to the unit rate.

Let y be the number of textbooks and x be the number of students, then

[tex]\dfrac{y}{x}=k[/tex]

Here, k=5.

[tex]\dfrac{y}{x}=5[/tex]

[tex]y=5x[/tex]

Hence the rate of change is constant that is 5.

When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?

Answers

I believe your answer should be A. 13x=18

Find the slope of the line.

I WILL MARK BRAINYLIST JUST HELP MEEE

Answers

Answer:

-1/3

Step-by-step explanation:

join the zoom call and i can explain that way when another question comes no need to waste points: 73216153508 thats the code to join

A. the slope is -1/3 because you are going down 1 and over 3.

complete the table for values y= 2x+ 3

Answers

Answer:

There should be a table with the values of x  to find Y or vice versa, it depends.

Step-by-step explanation:

it's an easy way to answer this question in the table given. You just have to substitute the given values into the formula and find the Yor X depending on the table what you are searching for?

for example, if you are given x as 2 then, to find Y will be:

Y =2(2) + 3

Y = 7

Can anyone plz help me

Answers

Answer:

They multiplied the exponents instead of adding.

Step-by-step explanation:

Essentially, 2^2 x 2^3 is (2)(2) x (2)(2)(2) which is 5, not 6

Answer:

when it says times it doesn't mean times the powers it means add

basically the first one is correct

The line that passes through (2, 4) and (0, 8) can be expressed by which of the following

Answers

Answer:

The first one and the second one

Step-by-step explanation:

I hope that this helped

Write the standard form of the line that has a slope - 3/4 intercept of -2Include your work in your final answer Type your answer in the box provided or use the upload option to submit your solution

Answers

Y = -3/4x - 2
Add 2 and subtract y
-3/4x - y = 2
No fractions or negative
Multiply all by 4
-3x - 4y = 8
Now multiply all by (-)
Solution: 3x + 4y = -8

Can some help me fast!

Answers

Answer:

5x +2y =38

5(6) +2y = 38

30 +2y= 38

2y= 8

y= 4

(6, 4)

5(0) +2y =38

2y= 38

y= 19

(0,19)

5(-2) +2y= 38

-10 +2y =38

2y= 48

y=24

(-2,24)

if each value of the data of the poplation function is doubled which of the following is not correct?
A. the mean is doubled
B. the mode is doubled
C. the variance is doubled
D. the median is doubled

Answers

Answer:

The variance is doubled; C

Step-by-step explanation:

Here, we want to select what will be wrong if every number in the dataset is doubled

A. This is correct

The mean is the average of the numbers which is calculated by dividing the sum of the numbers by the count of the numbers

By doubling the numbers, we have simply doubled the sum while the count is same

So what we have as the result of the division will be 2 times what we had initially making the mean doubled

B. The mode is doubled

Yes, this is correct

The mode is the highest in frequency

Doubling all numbers will not double their frequencies but their values. So the number that was the mode in the previous case will be the same but now doubled

D. The median is doubled

This is correct

The median deals with the middle number.

Since all numbers are doubled in the present case, the median to is also doubled along side as the numbers are now twice what they were evenly

C. This is wrong

The variance has to do with the spread of data

We are actually subtracting values

Since we are doubling across board, the difference between the numbers is the same as this, the variance cannot change

We can look at this from the angle that all others are measures of central tendency looking at having a central figure while the variance is a measure of spread.

Solve: 7n + 5 = -44 HELPPPPPPPPPPP

Answers

Answer:

-7

Step-by-step explanation:

7n+5=-44

-5 - 5

7n=-49

7/7 -49/7

n = -7

HELPPPP!!!

Use the diagram to answer the question

Answers

Angle 4 and Angle 5 is the correct answer I hope this helps!

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

Well heck,how come, to me this looks like collage level stuff please help me? My cousin isn’t awake enough and he usually helps me and I don’t wanna wake him up,just help me till he wakes up. Try to answer correctly please,if you don’t know then please scroll past ok? I need to get this right so my mom can think I’m “perfect”

Answers

Answer:

Step-by-step explanation:

i=prt

your p=30 dollars

rate is 10%

t=1 year

i=(30*0.01*1)=3

3 dollars

What are the solutions of x^2 - 2x + 10 = 0?

Answers

Answer:

C. x = 1 + 3i or x = 1 - 3i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Algebra II

Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define

x² - 2x + 10 = 0

Step 2: Identify Variables

a = 1

b = -2

c = 10

Step 3: Find roots

Substitute [Quad Formula]:                    [tex]x=\frac{2\pm\sqrt{(-2)^2-4(1)(10)} }{2(1)}[/tex]Exponents:                                              [tex]x=\frac{2\pm\sqrt{4-4(1)(10)} }{2(1)}[/tex]Multiply:                                                   [tex]x=\frac{2\pm\sqrt{4-40} }{2}[/tex]Subtract:                                                  [tex]x=\frac{2\pm\sqrt{-36} }{2}[/tex]Factor:                                                     [tex]x=\frac{2\pm\sqrt{-1} \sqrt{36} }{2}[/tex]Simplify:                                                   [tex]x=\frac{2\pm6i }{2}[/tex]Factor:                                                     [tex]x=\frac{2(1\pm3i) }{2}[/tex]Divide:                                                     [tex]x=1\pm3i[/tex]

PLEASE HELP ME I NEED THIS ALOT!
1 . Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.
2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.
Please help i'm really stuck on these questions!! :(

Answers

1. Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.

120e/1h

2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.

105e/1h

Mke y the subject of the formula.
w=x^2-2yz

Answers

Answer:

W = x^2 - 2yz / - w

0 = x^2 - 2yz - w / +2yz

2yz = x^2 - w // 2z

y = (x^2 -w ) / 2z

So correct answer is D

Which expression gives the correct volume of the steps?

Math item stem image
CLEAR CHECK

4×4×1 cubic feet



(4×4×1)+(3×3×3) cubic feet



(4×4×1)+(3×3×1)+(2×2×1)+(1×1×1) cubic feet



(4×4×4)+(3×3×3)+(2×2×2)+(1×1×1) cubic feet

Answers

Answer:

(4×4×4)(3×3×3)(1×1×1) Cubic feet

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