Help needed on this similar triangle question
A jar contains n nickels and d dimes. There is a total of 206 coins in the jar. The value of the coins is $13.95. How many nickels and how many dimes are in the jar?
Answer:
73 dimes and 133 nickels
Step-by-step explanation:
$13.95 = 1395 cents
5n + 10d = 1395 (since each nickel is 5 cents and each dime is 10 cents)
5n = 1395 - 10d (subtract 10d from both sides to solve for n)
n = 279 - 2d
n + d = 206
279 - 2d + d = 206 (substitute n with the previous expression)
279 - d = 206 (add variable d and -2d)
-d = -73 (solve for d and divide both sides by negative 1)
d = 73
n + 73 = 206 (solve for n and subtract both sides by 73)
n = 133
Solve the following expression when
t = 6 and d = 8
t + d = 8 - 6
Answer:
Hi! Your answer is 14 = 2
Step-by-step explanation:
Evaluate
What is the value of x
Answer:
23
Step-by-step explanation:
Calculate 18% tip on a 6250 dinner bill
Tomas is packing 7 baskets for a fair. He is placing 8 apples in each basket.How many apples are there
Answer:
There are 56 apples
Step-by-step explanation:
Multiply the number of apples by the number of baskets.
7 × 8 = 56
Hope this Helps!:)
find the value of X please help me its due in an hour !!!
Answer:
x=5
Step-by-step explanation:
3x+20 = 10x -15 (vert.opp ∠'s equal)
3x - 10x = - 15 - 20
-7x = -35
x= - 35/-7
x= 5
Can someone please help me solve this?
Answer:
why are these things so complicating
Step-by-step explanation:
IM GNNA ANSWER IT LEMME JUST THINK
A box plot is also known as a scatterplot.
O A. True
O B. False
hellppp 8(–10r+–1)+–r+2
Answer:
-81r - 6
Step-by-step explanation:
8(-10r - 1) - r + 2
use the distributive property
-80r - 8 - r + 2
combine like terms
-81r - 6
plz mark as brianliest if correct!!!
WILL GIVE BRAINLIEST!!!
____________________
Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.
Suppose Mr. Nicholson plans on working for his new employer for at least 9 years. Use each of the recursive models to determine Mr. Nicholson’s potential annual salary as a nine-year veteran with the company. In your final answer, include all of the necessary calculations.
Answer:
Step-by-step explanation:1. Arithmetic: Add 3,500
The annual raise of 3,500 means add 3,500 to the previous year's salary
60,000 + 3,500 = 63,500
63,500 + 3,500 = 67,000
67,000 + 3,500 = 70,500
70,500 + 3,500 = 74,000
74,000 + 3,500 = 77,500
Geometric: Multiply by 1.05
The annual raise by 5% of his current salary means multiply by 1.05.
60,000 x 1.05 = 63,000
63,000 x 1.05 = 66,150
66,150 x 1.05 = 69,457.50
69,457.50 x 1.05 = 72,930.38 rounded
72,930.375 x 1.05 = 76,576.89
The first sequence is arithmetic because we add the same number (3,500) to the preceding term. The second sequence is geometric because we multiply the preceding term by the same number always (1.05.)
2a. Arithmetic - New salary is $3,500 greater each year than last year's salary
S = 60,000 + 3500(n-1)
Geometric - New salary is 5% more each year than last year's salary
60,000 + (1.05)^(n-1)
2b. Arithmetic Earnings over 3 years
60,000 + 63,500 + 67,000 = 190,500
Geometric Earnings over 3 years
60,000 + 63,000 + 66,150 = 189,150
There is a 1,000 dollar difference. In this case, the arithmetic increase of 3,500 dollars would be better for Mr. Nicholson. 1,000 dollars may or may not be considered a big difference. In my opinion, I'd say there is a slight difference between the two
3.Arithmetic
a(9) = 3,500 + a(9-1)
a(9) = 3,500 + 89,000
a(9) = 92,500
Geometric
a(9) = 1.05 x a(9-1)
a(9) = 1.05 x 84,425.90
a(9) = 88,647.20
4. In this case, both the 3 year and 9 year time frames favor the arithmetic increase of $3,500. At 3 years, he would have 190,500 compared to the geometric salary of 189,150. However, this is a small difference. If he is going to be at the company for 9 years, then definitely he should choose the first opportunity. 92,500 is significantly more money than 88,647.20. So, longer time frames only make the first opportunity, which is better to begin with, shine even more.
I'm always happy to help :)
Answer:
he is not a wealthy man
Step-by-step explanation:
because he got money
x−8≥4
x=?
please explain how you got the answer
Answer:
[tex]x \geqslant 12[/tex]
Step-by-step explanation:
[tex]x - 8 \geqslant 4[/tex]
Move the constant to the right-hand side and change its sign
[tex]x \geqslant 4 + 8[/tex]
Add the numbers
[tex]x \geqslant 12[/tex]
Alternate form
x∈[12 , + ∞》
A
B
What is the distance between Points C and
D?
-4 units
4 units
6 units
2 units
Math homework PLS HELP What is the distance between points C and D?
Bernie bought a pair of shoes at the store when they were having a 30% off sale. If the
regular price of the pair of shoes was $42, how much did Bernie pay?
A) $12.60
B) $29.40
C) $24.00
D) $15.30
Which of the following equations does not represent a linear relation?
a) y = 4x^2 - 7
b) y = 3x + 45
c) 4x - 3y = 8
d) 10x = 5y - 2
A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1525 miles, for a total gas consumption of 60 gallons. How many gallons were consumed by each c the two cars that week?
First car: gallons
Second car: gallons
Step-by-step explanation:
685 a piece per car split
The stem-and-leaf plot lists the number of coupons saved per person in a coupon club.
How many club members saved at least 41 coupons?
Enter your answer in the box.
A stem-and-leaf plot with a stem value of 1 with a leaf value of 2, 2, 4, 5, 7, a stem value of 2 with a leaf value of 8, 9, a stem value of 3, a stem value of 4 with a leaf value of 0, 1, 4, 5, a stem value of 5 with a leaf value of 0, and a stem value of 6 with a leaf value of 9.
Key: 1|2 means 12
Answer:
Your answers 5 :)
Step-by-step explanation:
I took the test and i did it in my head ignore the other person, thanks please mark brainliest!
Answer:
i have your answer!
Step-by-step explanation:
your answer is five, hope this helps
HELP PLEASE!!!
This meal costs $14.00.
A 7% sales tax is applied, followed by an automatic tip of 18%.
What is the total with tax and tip?
Answer:
17.6764$
Step-by-step explanation:
14 * 1.07 = 14.98$
14.98$ * 1.18 = 17.6764$
The tax is $0.98 and tip is $2.52
what is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Original Cost = $14
Tax = 7%
So, Price after tax = 14 + 7% of 14
= 14 + 0.98
= $14.98
and, after 18% tip = 14 + 18% of 14
= $16.52
Hence, the tax is $0.98 and tip is $2.52
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
Please. I’m begging for help. I have no idea what to do. Could you possibly explain on how to do it
The phone case you want to buy is marked down 30% and you have a 25% off coupon. You pay 42 dollars. Can this equatio be used to find the original cost of the phone case?If so what is the original price of the item. Explain.
Answer:
Step-by-step explanation:
Original price = x
75% of 70% of x = $42
0.75*0.70x =$42
x = $42/(0.75*0.70) =$42/0.525 = $80
write some thing good in answer.
Fro. there I will choose one and I will mark one person as a Brilliant.
So write fast it is valid till 15 days.
Answer:
You’re awesome.
Answer:
some thing good in answer.
4.913 rounded to the nearest tenth
Answer:
4.9
..........................
Solve the equation. 2t +8= -10 solve for t
Answer:
t= -9
Step-by-step explanation:
Answer:
Step-by-step explanation:
2t+8=-10, subtract 8 from each side
2t=-18, divide each side by 2
t=-9
Johanne packed 10 boxes of apples each day for 8 days. What is the total number of boxes Johanne packed?
Answer:
80 10x8 is 80
your welcomr
how many significant digits in 8.90
Answer:
2
Step-by-step explanation:
Answer:
Only 2, the 0 is not needed so it should just be 8.9
Step-by-step explanation:
(20 points.) Find the length of the side marked with the variable 'x'.
Answer:
EX:Jermaine has a triangle with sides 8, 14, and 20. ... For the points R(-2, 7) and P (2, 1) determine each of the following without graphing a. ... -2 ) é y = -x tb y = 2x+0 ... Find the lengths of the unknown sides that are marked with a variable. L. 4.
Step-by-step explanation:
Find the difference - 3.5 - 1.9
Answer:
1.6
Step-by-step explanation:
please help this is due soon
the answer is 60degree..hope it helps u
"The product of -4 and a number is greater than 8."
Answer: inequality???? -4x < 8 flip sign
Solved would be x < 2
Step-by-step explanation:
17 = 5-x what's the answer
Answer:
X = - 12.
Step-by-step explanation:
17 = 5 - x
17 = 5 + - x
17 = - x + 5
Then, flip the equation.
-x + 5 = 17
Then subtract 5 from both of the sides.
-x + 5 - 5 = 17 - 5
-x = 12
Then divide
-x/ -1 = 12/1
x = - 12.
Hope this helps!
Answer: I worked it out on a piece of paper and attached it. The answer is X = -12
Step-by-step explanation: