Mark has 380 coins Casey has 2x more than Albert Lilly has 5 coins more than Casey Logan has 3x more than Casey and Albert How many coins does Logan have

Answers

Answer 1

Answer:

141 coins

Step-by-step explanation:

Given that Mark has a total of 380 coins(assumed to be shared amongst Albert,Casey, Lily and Logan)

Albert= x

Casey= 2x

Lily= 2x+5

Logan=3x

There's a total of 380 coins

x+2x+2x+5+3x= 380

8x+5=380

8x=380-5

x=375/8

x= 46.9

Therefore Logan's coins = 3x= 3×46.9= 140.61 coins

Approximately Logan's coins =141 coins


Related Questions

PLEASE HELPPPPP!!!!
write an equation of line line in slope intercept form (0,3) and (1,2)

Answers

just find the slope aka rise over run and then use the formula y=mx + b

[tex]y = - x - 3[/tex]

✧◝(⁰▿⁰)◜✧

Can someone explain this problem to me?? After a price reduction of x%, an item has its price increased to its original value. What was the percent of increase? Express your answer as a common fraction in terms of x.

Answers

Answer:

[tex]\frac{-100(100+x)}{(x-100)}[/tex]

Step-by-step explanation:

Let the original price of the item = p

Let there was q% of increase on the original value, so

the printed price of the item, [tex]C= p+p \frac{q}{100}=p(1+\frac{q}{100})[/tex]

After a price reduction of x%, the has its price increased to its original value, so,

[tex]C-C\times \frac {x}{100} =[/tex] original price + increased price

[tex]p(1+\frac{q}{100})-p(1+\frac{q}{100})\times \frac {x}{100} = p+p[/tex]

[tex](1+\frac{q}{100})-(1+\frac{q}{100})\times \frac{x}{100} =2[/tex]

[tex]-(1+\frac{q}{100})\times \frac{x}{100} =2-1-\frac{q}{100}[/tex]

[tex]-(1+\frac{q}{100})\times \frac{x}{100} =1-\frac{q}{100}[/tex]

[tex](1+\frac{q}{100})\times \frac{x}{100} =\frac{q}{100}-1[/tex]

[tex]\frac{x}{100}+\frac{q}{100}\times\frac{x}{100}-\frac{q}{100}=-1[/tex]

[tex]x+x \times \frac{q}{100}-q=-100[/tex]

[tex]q(\frac{x}{100}-1)=-100-x[/tex]

[tex]q=\frac{-100(100+x)}{(x-100)}[/tex]

Hence, the percent of the increase is [tex]\frac{-100(100+x)}{(x-100)}[/tex]

For the points P and Q, find the distance d(P, Q).
P(3,-6), Q(7,-4)

Answers

Answer:

d=2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

please give thanks :)

What is 2(x-4)+4(45x+6)

Answers

Answer:

182x + 16

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

2(x - 4) + 4(45x + 6)

Step 2: Simplify

Distribute:                              2x - 8 + 180x + 24Combine like terms (x):         182x - 8 + 24Combine like terms (Z):        182x + 16

Answer:

Step-by-step explanation:

here you go mate

step 1

2(x-4)+4(45x+6)   equation

step2

2(x-4)+4(45x+6)  distribute

(2)(x)+(2)(-4)+(4)(45x)+(4)(6)

2x+(-8)+180x+24

step 3

2x+-8+180x+24  combine the like terms

(2x+180x)+(-8+24)

182x+16

Find the values of x and z

Answers

Answer:

z = 92 degrees

x = 6

Step-by-step explanation:

z and the angle that measures 92 degrees are vertical angles which means they are congruent. So, z = 92 degrees.

The total measure of all these angles is 360 degrees. Subtract 92*2 from 360 and divide the answer by 2. You get 88.

88 = 9x + 34

Solve for x.

x = 6

Answer:

z = 92°x = 6

Step-by-step explanation:

For x:

Write and algebraic equation: 92 + (9x + 34) = 180Combine like terms: 126 + 9x = 180Subtract 126 from each side, so it now looks like this: 9x = 54Divide each side by 9 to cancel out the 9 next to x. It should now look like this: x = 6

For z:

Because the 92° angle and z make a vertical angle, 92° = z°

I hope this helps!

Find the equation of the line?

Answers

Answer:

Y=-1/4x-6

Step-by-step explanation:

A bookshop has an offer. "Buy one book and get one free!" Ria gets 8 books from the shop with that offer. The normal price of each book is £6.99. How much does Ria spend?

Answers

Answer: £27.96

Step-by-step explanation:

Since the bookshop has an offer. "Buy one book and get one free!" and we are told that Ria gets 8 books from the shop with that offer. This simply means that Ria bought 4 books and also got 4 free.

Since the normal price of each book is £6.99 and Ria bought 4 books, the amount Ria spend will be:

=£6.99 × 4

= £27.96

Ms. Parker baked 6 dozen cookies. She gave 2 dozen cookies to her sister,
1 dozen cookies to her brother, and kept the remaining cookies for herself.
What amount of the cookies did she keep for herself?

Answers

It is 734893726383 and 384738283 cookies and baked 20000

Answer:

She has 3 dozens left which equals to 36 cookies in all

Step-by-step explanation:

Prove that tan22° + tan23° + tan22°. tan23° = 1 ​

Answers

Answer:

Hope you got it....

Step-by-step explanation:

1=tan45∘

1=tan(22∘+23∘)

1=tan22∘+tan23∘1−tan22∘tan23∘

1−tan22∘tan23∘=tan22∘+tan23∘

1=tan22∘+tan23∘+tan22∘tan23∘

It will be the same for any two angles that add up to 45∘.

Answer:

ooo....

Step-by-step explanation:

22° + 23° = 45°

taking tan on both side

or,tan(22° + 23°)=tan45°

or,(tan22° + tan23°)/(1-tan22°. tan23°)=1

or,tan22° + tan23° =1- tan22°. tan23°

or,tan22° + tan23° + tan22°. tan23° = 1 ​

                            proved

If g (x ) = 3(4)x, what is the value of g (2)?

Answers

answer= 24
3 x 4 x 2= 24

Rachel earns $67.50 for working 9 hours at the dairy farm. How much does Rachel make per hour? How much would Rachel make if she works 5 hours a day for 6 days?

Answers

Answer:

$225

Step-by-step explanation:

Frist, we need to figure out how much Rachel makes per hour. For 9 hours of work, she makes $67.50

67.5 / 9 = 7.5

Rachel makes $7.50 per hour

Now we can add up all the hours she worked.

5 hours a day for 6 days

5 x 6 = 30

She worked 30 hours at a rate of $7.50 per hour

7.5 x 30 = 225

She earned $225

To find what she makes per hour, divide the amount she made by the time she spent. 67.50/9= 7.5 she makes 7.50 per hour. Then if she were to work for 5 hours a day, 7.5(5)=37.5. She makes 37.50 per day and multiply that by 6. She would make 225

Heritage Middle School has 150 students. Two out of three students in Mrs. Masons class prefer gel toothpaste. use this rate to predict how many students inthe entire Middle School prefer gel toothpaste.

Answers

Answer:

100 bc 150/3 = 50x2=100 this equation vary on the percent bc if it was 3/3 then u would devide by 3 then times 3 get it?

Answer:

100 students.

Step-by-step explanation:

First because it says "..2 out of 3" you have 2 boxes (i'm using a tape diagram) for the students that prefer gel toothpaste and 1 box for the others/don't prefer gel toothpaste students. Since there are 150 students in the school in total you will divide the number of students (150) by the 3 boxes and get 50. Each box will be filled with 50. Students that prefer gel toothpaste : 50 x 2 = 100 (students) Students that don't prefer gel toothpaste : 50 x 1 = 50 (students).

Hope this made sense somehow lol, i'm not very good at explaining.

You are making a blueprint of your bedroom and you plan to use a scale factor of 1/8. The actual width of your room is 12 feet and the actual length of your room is 10 feet. Determine the width and length of your room on the blueprint.

Answers

Answer:

The width will be 1.5 feet and the length will be 1.25 feet.

Step-by-step explanation:

12/8=1.5

10/8=1.25

A set of 5 consecutive integers sums to 10. What are the integers?

Answers

Answer:

Let x be the smallest integer (the first integer)

1st: x, 2nd: x + 1, 3rd: x + 2, 4th: x + 3, 5th: x + 4

Hence,

x +  x + 1 + x + 2 + x + 3 + x + 4 = 10

5x + 10 = 10

5x = 0

x = 0

Therefore, the answers are

0, 1, 2, 3, 4

Step-by-step explanation:

Integers include all positive integers, negative integers and 0.

0 is an integer but it is neither positive nor negative.

We may conclude that (a) events A and B are independent. (b) events A and B are mutually exclusive. (c) either A or B always occurs. (d) events A and B are complementary. (e) none of the above is correct.

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. But I would show you how to solve the problem.

Two events A and B are said to be independent if the occurrence of event A does not affect the occurrence of event B and vice versa. P(A and B) = P(A) * P(B).

Two events A and B are said to be mutually exclusive if event A and event B cannot occur at the same time. P(A and B) = 0.

Two events A and B are said to be complementary when event A occurs if and only if event B does not occur and vice versa.

The roots of $y^2 + 5y - 11 = 0$ are $a$ and $b$. Find $(a + 3)(b + 3).$

Answers

Since a and b are roots of y² + 5y - 11, we have

y² + 5y - 11 = (y - a) (y - b)

and expanding the right side gives

y² + 5y - 11 = y² - (a + b) y + ab

so that

a + b = -5

ab = -11

Now,

(a + 3) (b + 3) = ab + 3 (a + b) + 9

(a + 3) (b + 3) = -11 + 3 (-5) + 9

(a + 3) (b + 3) = -17

Mary has 2 1/3 yards of fabric.



She wants to cut the fabric into 1/6 yard strips.

Answers

Answer:

so what should we do it is incomplete answer

Step-by-step explanation:

42

Answer:

14

Step-by-step explanation:if she cut the pices into 1/6 pices she would have 14 of them so the answer is 14.

help plsplsplsplsplsplspls

Answers

Answer:

48-20x=21

Step-by-step explanation:

So, we basically have to clear the fractions (get rid of the denominators)

Multiply everything by the LCM of 6 and 8 (24)

24(2)-24(5/6x)=24(7/8)

48-20x=21

Hope this helps!

50 points pls help quick

The map shows the migration of the ancient Hebrews prior to the Exodus.

A map titled Hebrew Migration. A key shows Location where Hebrews settled with a star and Path of Hebrew migration with a purple line. Stars are located near Canaan and the Nile Delta. A purple line begins at Ur, follows the Euphrates River northwest, and then moves south through Canaan into Egypt.

Which statement about the migration of the ancient Hebrew people does the map best support?

The ancient Hebrew people left Ur and went directly to Egypt.
The ancient Hebrew people settled along the Euphrates River.
The ancient Hebrew people migrated from Ur to Canaan and then to Egypt.
The ancient Hebrew people migrated from the Persian Gulf to the Red Sea.

Answers

Answer:

The ancient Hebrew people migrated from Ur to Cannan and then to Egypt

Answer:

The ancient here's people migrated from Ur to Canaan and then to Egypt.

Step-by-step explanation:

The stars show where they were migrating witch started from Ur and left.Then went to Canaan where the star is located;and finally Egypt which is where the final star is at.

Brandon bought a baseball on for $15.00. He had a coupon for a 20% discount. How much was the discount?

Answers

Answer:

3

Step-by-step explanation:

I have been working with precents so think I got this one right! hope this helps you!! :D

Multiply (-3x4y3z)(-4x2y3z).​

Answers

Answer:

-3×4ycube z square (-4)×2y3

-12cube z square (-4)×2y3

48ycube z square×2y3

96ycube z square y cube

288y3 (yz)square

I hope you will understand these squares or cubes

what is the circumference

Answers

Answer:  69.43 cm

Step-by-step explanation:

Given: Arc length (JK) = 40.5 cm

Central angle ∠ JLK = 210°

Arc length = [tex]\dfrac{x}{360}\times\text{Circumference}[/tex]

[tex]\Rightarrow\ 40.5=\dfrac{210}{360}\times\text{Circumference}\\\\\Rightarrow \text{Circumference} =40.5\times\dfrac{360}{210}\\\\\approx69.43\ cm[/tex]

Hence, Circumference = 69.43 cm

What is the period of this periodic function?
A) π/4
B) 5π/2
C) 3π/4
D) 4π/3

Answers

I’m pretty sure the answer A or C

What is the discriminant of the quadratic equation
x^2– 7x-9=0

Answers

This is the answer not sure how to type it out but there’s a picture,

Use the figure to find the measure of <6. Explain your reasoning.
2 points
152
2
4
5
6
8
S
Your answer

Answers

Answer:

∠ 6 = 28°

Step-by-step explanation:

152° and ∠ 5 are corresponding angles and are congruent, then

∠ = 152°

∠ 5 and ∠ 6 are adjacent angles and are supplementary, thus

∠ 6 = 180° - 152° = 28°

What is the image of the point (0, 5) after the reflection over the line x = 5?

Answers

Answer:

(10, 5)

Step-by-step explanation:

(0, 5) reflected over x=5 becomes 10 units away from x = 0

Tylond puts $5,000 into a savings account that earns 4% simple interest. How much interest does he earn after
3 years?

Answers

Answer:

5,6241

Step-by-step explanation:

I have no idea if this is correct but I hope it is. I hope this helps.

3х - 4y ≤ -20 helppppp

Answers

Answer:

I suppose that you want to find the region of solutions.

We start with the inequality:

3х - 4y ≤ -20

To solve this, will be easier to write this as a linear relationship, we can do this as follows:

3x - 4y ≤ -20

-4y ≤ -20 - 3x

y ≥ (-20 - 3x)/-4

(Notice that the "direction" of the sign changes, this is because we divided both sides by a negative number).

y ≥ 5 + (3/4)*x

Now we have the equation of a line, and we know that y will be equal or greater than the line, this means that we need to draw the line and shade all the area above the line, as shown in the graph below:

Which equation represents this problem? The time it takes Tomás to bike to the community center is 2 minutes less than half the time it takes him to bike to the city park. It takes Tomás 18 minutes to bike to the community center. Let p = the time it takes Tomás to bike to the park.
A. 2p+12=18
B.12p+2=18
C.2p–12=18
D.12p–2=18

Answers

Answer:

The equation that represents this problem is [tex]\frac{1}{2}[/tex] p - 2 = 18 D

Step-by-step explanation:

Let us solve the question

p is the time it takes Tomás to bike to the park

∵ The time it takes Tomás to bike to the community center is 2 minutes

   less than half the time it takes him to bike to the city park

→ That means multiply p by [tex]\frac{1}{2}[/tex] , then subtract 2 from it

∴ The time to the community center =  [tex]\frac{1}{2}[/tex] (p) - 2

The time to the community center =  [tex]\frac{1}{2}[/tex] p - 2

∵ It takes Tomás 18 minutes to bike to the community center

→ Equate The time to the community center by 18

[tex]\frac{1}{2}[/tex] p - 2 = 18

The equation that represents this problem is  [tex]\frac{1}{2}[/tex] p - 2 = 18

A large amount of money is spent on promotional activities in the United States every year. The average budget breaks down as follows 50% for advertising 30% for sales promotion, and 20% for trade promotion. Use these percentages to calculate the amount a company will spend on each type of promotion if its overall budget is $400,000. ​

Answers

Answer:

Iam here to ruin your day sry nothing personal.

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