Three friends pay 1025 to rent a vacation home. Beth contributed $80 more than danny. Katie contributed $20 less than Beth. How much did Danny contribute?

Answers

Answer 1

Answer:

Danny contributed $295

Step-by-step explanation:

Assume that Danny contributed $x

Danny contributed x

∵ Beth contributed $80 more than Danny

→ Add The amount of Danny by $80 to get the amount od Beth

Beth contributed x + 80

∵ Katie contributed $20 less than Beth

→ Subtract the amount of Beth by 20 to get the amount of Katie

∴ Katie contributed x + 80 - 20

Katie contributed x + 60

∵ The three friends pay $1025

→ Add their amounts and equate the sum by 1025

x + x + 80 + x + 60 = 1025

→ Add the like terms in the left side

∵ (x + x + x) + (80 + 60) = 1025

∴ 3x + 140 = 1025

→ Subtract 140 from both sides

∴ 3x + 140 - 140 = 1025 - 140

∴ 3x = 885

→ Divide both sides by 3

x = 295

∵ x represents the amount of Danny contributed

Danny contributed $295


Related Questions

I need help with this plz help me

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

1) Writing the equation of the pattern

Figure 1 has 4 circles.

Figure 2 has 7 circles.

Figure 3 has 10 circles.

Thus, the sequence becomes

4, 7, 10,...

Finding the common difference between the adjacent terms

d = 7 - 4 = 3, d = 10 - 7 = 3

As the common difference is the same, so this represents the Arithmetic sequence.

so

d = 3

as

a₁ = 4

Thus, the nth term of the Arithmetic sequnce is

aₙ = a₁ + (n-1)d

aₙ = 4 + (n-1)3

aₙ = 4 + 3n - 3

aₙ = 1 + 3n

2) Determining the circles in the 23rd figure

As the nth term is given by

aₙ = 1 + 3n

putting n = 23

a₂₃ = 1 + 3(23)

a₂₃ = 1 + 69

a₂₃  = 70

3) Determining the figure having 82 circles

As the nth term is given by

aₙ = 1 + 3n

Given

aₙ = 82

To determine

n=?

Thus,

aₙ = 1 + 3n

82 = 1 + 3n

3n = 82-1

3n = 81

Dividing both sides by 3

n = 27

Therefore, 27th figure will have 82 circles.

A 30ft electric line is suspended between the tops of two 20ft electric poles on level ground. The lowest point of the line is 5ft above the ground. What's the distance between the two electric poles?

Answers

Answer:

There is no distance between them

Step-by-step explanation:

For a 30 ft electric line to be placed between two 20ft electric poles, it would take 15 ft of the electric line to go down to about 5 ft above the ground and another 15 ft of the line to go to the top of the second electric pole. This means that a total of 30ft (15 ft + 15 ft) electric line would be needed which is all the cable we have.

For this to be possible then the poles must be adjacent to each other (i.e. no distance between them).

desribe what the value of 3/7 as a decimals would look like.​

Answers

0.4286 would be the decimal

Are these triangles congruent? If so, state why. Choose the correct answer.

Answers

Answer: C) The triangles are not congruent

======================================================

Explanation:

At first glance, they seem to be congruent. However, we simply don't have enough information to say yes or no.

Note how VT = VT by the reflexive theorem. This is the shared overlapping sides.

The tickmarks indicate WT = VU is another pair of congruent sides.

Finally, the red arcs indicate angles TWV and VUT are congruent.

We have two pairs of congruent sides and a pair of congruent angles; however, the angles are not between the congruent sides. Recall that SSA is not a valid congruence theorem. This is because SSA could lead to ambiguity.

So that's why we don't have enough info to say if they are congruent or not. That's why choice C is the best answer.

10 points! Please help me Thanks! <3 :Elle wants to attend the Art Institute of Dallas, which costs about $12,000 per year. She has $2,500 saved and received a grant for $4,000. How much does she need to cover the remaining cost?

Answers

Answer:

5,500

Step-by-step explanation:

added 2,500 and 4,000 that equals 6,500 the remaining amoumt is 5500

Answer:

$4,500

Step-by-step explanation:

You basically add the 2 thousand five hundred and the 4 thousand and then the result of the two you then take it away from the 12 thousand.

Read the image below please.

Answers

Answer:

30

Step-by-step explanation:

Please solve this problem if u are brainliest

Answers

Answer:

Step-by-step explanation:

2. 3x-1/3 = 5

+1/3    +1/3

___________-

3x= 5   1/3

÷3     ÷3

__________________

x=1.77777777778

5.  3x-9=5x-3

+3     +3

_____________-

3x-6=5x

-3x    -3x

_______________-

-6=2x

÷2    ÷2

______________-

-3=x

8.   3x-2x=8  ( I crossed multiplied btw)

x=8

Hope this helps ∞<3

I believe that the answer is “8”

A cell phone plan costs ​28.70$ per month for minutes of talk time. It costs an additional ​$0.05 per minute for each minute over 700 minutes. To get​ e-mail access, it costs ​30% of the price for 700 minutes of talk time. Your​ bill, which includes​ e-mail, is the same each month for months. The total cost for all months is ​$326.48. Write and solve an equation to find the number of minutes of talk time you use each month.

Answers

Answer:

Total number of minutes= 6,483

Step-by-step explanation:

Giving the following information:

Fixed cost (700 minutes)= $28.7

E-mail= (28.7*0.3)= $8.61

Cost per minute (over 700)= $0.05

Total cost= $326.48

First, we establish the total cost formula:

Total cost= 28.7 + 8.61 + 0.05*x

x= number of minutes over 700

Now, we need to calculate the number of minutes over 700:

326.48= 28.7 + 8.61 + 0.05x

289.17=0.05x

5,783 = x

Total number of minutes= 700 + 5,783

Total number of minutes= 6,483

If the point (x, y) is in Quadrant I, which of the following must be true?

Answers

Answer:

Both numbers (the x, and the y) must be positive

Step-by-step explanation:

Which of the following equations shows the commutative property of multiplication?
A.8x0=0
B.3 x 11 = 11 x 3
C.7 + 7 + 7 = 3 x 7
D.(4 x 2) x1 = 4 x (2 x 1)

Answers

Answer: D.(4 x 2) x1 = 4 x (2 x 1)

935 = 85 x 11
Which statement does the equation represent?
O A 85 is 11 more than 935.
B. 935 is 85 more than 11.
OC. 935 is 85 times as many as 11.
D. 85 is 11 times as many as 935.

Answers

Answer:

since 85 times 11 is equal to 935 I'd say the answer to that is D

Step-by-step explanation:

Answer:

5x185=935

Step-by-step explanation:

Find the value of x.
17
14

Answers

x= 3 is the answer to this question

t-6= -12
8

I NEED HELP ASAP

Answers

Answer:

Step-by-step explanation:

t

=

122

what is this answer? :)

Answers

Answer:

the answer is b

Step-by-step explanation:

Heyy I need help with these two questions for math before he emails my mom saying i didnt do my work bc my brain isnt working properly rn

Answers

Answer:

4 pieces and B

Step-by-step explanation:

Answer: The answer to the first one is probably 8.

Step-by-step explanation:

I just read the problem and saw it as a division problem. I then divided 4/6 by 1/12. I ended up with 8, if this is wrong i'm incredibly sorry.

The vertices of a polygon are given. Find the coordinates of the vertices of the image after the specified translation.

P(–5, 4), Q(1, 4), R(1, 1);
(x, y) —--> (x + 1, y – 5)

P’ (__, __) Q’ (__,__) R’ (__,__)


Answers

Answer:

The coordinates of the images are P' (-4, -1), Q' (2, -1), R' (2, -4)

Step-by-step explanation:

If the point (x, y) is translated horizontally h units and vertically k units, then its image is (x + h, y + k) and the rule of translation is T (x + h, y + k)

∵ The vertices of the polygons are P (-5, 4), Q (1, 4), R (1, 1)

∵ The rule of translation is (x, y) → (x + 1, y - 5)

→ That means add each x-coordinate by 1 and subtract each

   y-coordinate by 5

∴ P' = (-5 + 1, 4 - 5)

P' = (-4, -1)

∴ Q' = (1 + 1, 4 - 5)

Q' = (2, -1)

∴ R' = (1 + 1, 1 - 5)

R' = (2, -4)

The coordinates of the images are P' (-4, -1), Q' (2, -1), R' (2, -4)

Make a reasonable estimate for the situation. A snail moves at a speed of 3.395 inches per minute. If the snail keeps moving at this rate, about how many inches will it travel in 6.187 minutes?

Answers

Answer:

Distance = 21.0049 inches

Step-by-step explanation:

Given the following data;

Speed = 3.395 inches per minute.

Time = 6.187 minutes

To find the distance;

Distance = speed * time

Substituting into the equation, we have;

Distance = 3.395 * 6.187

Distance = 21.0049

PLEASE HURRY!!!
What is the output of y=6x−11 when the input is 5?

Answers

Answer:

The y-intercept occurs when x = 0, so you can see it is the point: (0, 11).Step-by-step explanation:

Please answer question... if it is good will give brainliest

Answers

^2 = SQUARED( to the second power)

Answer:

2. 2x times 2x equals 4x^2 since x times x equals x^2(and 2 times 2 equals 4. then positive i times negative i equals -i^2 which can transfer to be 1.

Step-by-step explanation:

2. 2x * 2x = 4x^2

   +i * -i = -i^2

   -i^2 can be transferred into positive 1.

   i is a variable. if you divide -i^2 by -i, then that equals i, which is 1.

3. The same thing as 2.^

   1 squared is 1. i squared is i^2. i^2 divided by i is i. i is 1. 1+1 is 2. Now put the 2 infront of the i to make 2i.

Let Me Know if anything went wrong  :)

Carlos went kayaking and burned 380 calories. It's a hot day, and he decides to replace all of his calories to keep his energy up. Select a snack from the following options that will allow Carlos to replace his calories.

Answers

Step-by-step explanation:

yoi forgot to pit the snacks.

will give 50 points!
Torren deposits $4500 in an account earning 2% interest, compounded annually. The equation that represents this situation is
A(n)=4500(1+0.02)^n-1
How much will he have in the account at the beginning of year 8? Round your answer to the nearest dollar
A. $5169
B. $16,124
C. $32,130
D.$5272

Answers

Answer:

the answer is D

Step-by-step explanation:

hopes it helped^^

Find the missing length of the triangle
A= yd

Answers

Answer:

a = 6yd

Step-by-step explanation:

[tex]C^{2}[/tex] - [tex]B^{2}[/tex] = [tex]A^{2}[/tex]

[tex]6.1^{2}[/tex] - [tex]1.1^{2}[/tex] = 36

[tex]\sqrt{36}[/tex] = 6

Do the equations x + y = -2 and 3x + 3y = −6 define the same line? Explain.

Answers

Answer:

Yes, they do.

Step-by-step explanation:

They both pass through the same points of -2 on the x and y axis.

Help needed, much appreciated

Answers

Answer:

7

Step-by-step explanation:

4 x -2 + 3 x 5 = 7

You want to substitute the given variables with the one given so you would get 4(-2)+3(5) once you do that you multiply giving you -8+15 after that you add that giving you 7

ill mark brainliest if correct so please help​

Answers

Answer:

wait do we solve it or is there answer choices??

The surface temperature, t, of a planet depends on the planet's distance,
d, from the Sun.
A. (d)
B.d(t)
C.s(p)
D.p(s)

Answers

Answer:

A.

Step-by-step explanation:

distance from the sun makes how hot or cold it is

Miss Niger is an auto mechanic I live auto body shop in Spanaway they charge a diagnostic fee of $40 prior to working on cars in order to find the issues with their customers cars then she then charges $25 per hour to fix the cars let X represent the hours spent working on cars and Y represent the total cost of fixing the car select an equation that best represents the suit leisurI'll​

Answers

Answer:

Its C I just did this

Step-by-step explanation

The ratio method can be used to find percentage

Answers

When you want to turn a ratio into a percentage, you must choose just one part to compare against the whole. For example, using the example ratio just given, you could find out the percentage of students who passed the test.

The length of the second side of a triangle is twice the length of the first side. The length of the third side is 4 units more than the first side. The perimeter of the triangle is 52 units. How long is each side, and how do you determine that?

Answers

Answer:

First side = 12 units

Second side = 24 units

Third side = 16 units

Step-by-step explanation:

First, we can assign variables for each side of the triangle to make it easier:

A = side 1

B = side 2

C = side 3

The length of the second side of the triangle is twice the length of the first side, so we know that B is twice the length of A. We can represent this in an equation like this:

B = A * 2

The length of the third side is 4 units more than the first side. This tells us that C is going to be 4 more than A:

C = A + 4

And finally, the perimeter of the triangle is 52 units. Since the perimeter is just all the sides added together, we can create this equation:

A + B + C = 52

To start solving for lengths, I'm going to plug in the first two equations we got into the third equation:

A + B + C = 52

A + (A * 2) + (A + 4) = 52

1A + 2A + 1A + 4 = 52

4A + 4 = 52

4A = 48

A = 12

Now that we know what A is, we can solve for the other two variables:

B = A * 2

B = 12 * 2

B = 24

C = A + 4

C = 12 + 4

C = 16

Now we have all three variables, just don't forget what the variables represent (first side, second side, third side).

Simplify using distribution and combining like terms
7 (3x + 2y) – (13x – 3y)

Answers

Answer:

8x + 17y

Step-by-step explanation:

Hope this helps! Please mark as brainlest.

Thanks!

8x+17y
Hope that help!
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