The price, s, of a mountain bike at Speed Cycling is $290 less than twice the price, d, of the same bike at Downhill Racing. The difference in price between the bike at Speed Cycling and Downhill Racing is $304. Which system of equations can be used to determine the price of the bike at each store?
s - 2d = -290
s - d = -304

2s - d = 290
s - d = -304

2s - 2d = 290
s - d = -304

s - 2d = -290
s - d = 304

Answers

Answer 1

s - 2d = -290
s - d = 304

Answer 2

The system of equations that can be used to determine the price of the mountain bike at each store is:

s - 2d = -290

s - d = 304

Let's determine the correct system of equations to find the prices of the mountain bike at Speed Cycling (s) and Downhill Racing (d).

Given:

The price at Speed Cycling (s) is $290 less than twice the price at Downhill Racing (d). This can be expressed as s = 2d - 290.

The price difference between Speed Cycling and Downhill Racing is $304. This can be expressed as s - d = 304.

Now, we have the two equations:

s = 2d - 290

s - d = 304

These equations form a system that can be used to determine the prices of the bike at each store.

To solve for s and d, you can use the method of substitution or elimination. By substituting the value of s from the first equation into the second equation, you can find the prices of the bike at each store:

Substitute s from the first equation into the second equation:

(2d - 290) - d = 304

Now, solve for d:

d - 290 = 304

Add 290 to both sides:

d = 304 + 290

d = 594

Now that you've found the price at Downhill Racing (d), you can find the price at Speed Cycling (s) by using the first equation:

s = 2d - 290

s = 2 * 594 - 290

s = 1188 - 290

s = 898

So, the price of the mountain bike at Downhill Racing (d) is $594, and the price at Speed Cycling (s) is $898.

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Related Questions

The temperature decreased overnight by 15.2°C to a temperature of –12.8°C. Suppose t represents the temperature before it decreased.

Which equation can be used to represent this situation?

A.
t – 15.2 = –12.8

B.
t + 12.8 = –15.2

C.
t – 12.8 = 15.2

D.
t – (–15.2) = –12.8

Answers

A. initially or was that them it decreased by 15.2 and then it equaled -12.8

Answer:

12.8

Step-by-step explanation:

What is -2 3/10 as a improper fraction?.

Answers

so, all you have to do here is multiply your denominator by the number out front, then add it to your numerator, and set it over your denominator. i know it sounds confusing, but it's a quick process:

-2 3/10

to get your improper fraction:

-2 * 10 = -20
-20 + 3 = -17

then you set -17 over the bottom of your original fraction:
-17/10

it's sort of a weird process and there is some mathematical reasoning behind why exactly you take those steps, but it's best to just remember to multiply the bottom and "big" number out front, then add the top and keep your same denominator.

-23/10 :) happy holidays!

21/24 reduced fraction

Answers

21/24
Divide 21 by 3. You get 7.
Divide 24 by 3. You get 8.
7/8 is your answer

Find the Greatest Common Factor (GCF) of 21,24

Method 1: By Listing FactorsList out all factors of each number, and find the first common one.

Factors of 21

: 1, 3, 7, 21

Factors of 24

: 1, 2, 3, 4, 6, 8, 12, 24

Therefore, the GCF is 3.

Divide both the numerator and the denominator by the GCF

21÷3
= 7/8 = Solution
24÷3

Estimate each Quotient

1) 59,628 divide by 73
2) 361,245 divide by 58
3) 104,392 divide by 64

REALLY NEED IT! Thanks ;) also pls show work

Answers

Okay, through simple division I'll give you the long side of the work. Known as Long Division: [This may turn out unaligned correctly, but hopefully it works.]

Question 1:
~~~ [][]816.82 ~ Answer. ~ Estimate to 816.8 or 817.
73 / 59628
~~~ 596
~~~ 584 ~ 73 goes into 596 8 times, giving us 584. Subtract and carry.
~~~~ 122
~~~~ []73 ~ 73 goes into 122 1 time, giving us 73. Subtract and carry.
~~~~~ 498
~~~~~ 438 ~ 73 goes into 498 6 times, giving us 438. Subtract and add a 0.
~~~~~~ 600
~~~~~~ 584 ~ 73 goes into 600 8 times, giving us 584. Subtract and add a 0.
~~~~~~~ 160
~~~~~~~ 146 ~ 73 goes into 160 2 times, giving us 146. Finalize the answer.

Question 2:
~~~ [][]6228.35 ~ Answer. Estimate to 6,228.4 or 6,228.
58 / 361245
~~~ 361
~~~ 348 ~ 58 goes into 361 6 times, giving us 348. Subtract and carry.
~~~~ 132
~~~~ 116 ~ 58 goes into 132 2 times, giving us 116. Subtract and carry.
~~~~~ 164
~~~~~ 116 ~ 58 goes into 164 2 times, giving us 116. Subtract and carry.
~~~~~~ 485
~~~~~~ 464 ~ 58 goes into 485 8 times, giving us 464. Subtract and add 0.
~~~~~~~ 210
~~~~~~~ 174 ~ 58 goes into 210 3 times, giving us 174. Subtract and add 0.
~~~~~~~~ 340
~~~~~~~~ 290 ~ 58 goes into 340 5 times, giving us 290. Finalize the answer.

Question 3:
~~~ [][]1631.12 ~ Answer. Estimate to 1,631.1 or 1,631.
64 / 104392
~~~ 104
~~~~ 64 ~ 64 goes into 104 1 time, giving us 64. Subtract and carry.
~~~~ 403
~~~~ 384 ~ 64 goes into 403 6 times, giving us 384. Subtract and carry.
~~~~~ 199
~~~~~ 192 ~ 64 goes into 199 3 times, giving us 192. Subtract and carry.
~~~~~~~ 72
~~~~~~~ 64 ~ 64 goes into 72 1 time, giving us 64. Subtract and add 0.
~~~~~~~~ 80
~~~~~~~~ 64 ~ 64 goes into 80 1 time, giving us 64. Subtract and add 0.
~~~~~~~~ 160
~~~~~~~~ 128 ~ 64 goes into 160 2 times, giving us 128. Finalize the answer.

I hope that helps, have a great rest of your day! ^ ^
{-Ghostgate-}

Sherry had an ending balance of $125.36, outstanding deposits of $153.53, and outstanding checks of $100.19. What was her checkbook balance?

Answers

$253.42 maybe the answer. But, I think it was the right answer :)

Answer: $178.70

Step-by-step explanation: $125.36 + $153.53 = $278.89

$278.89 - $100.19 = $178.70

Population of the world was 5.7 billion in 1995 and the observed growth rate was 2% per year. By what year will the population triple?

Answers

f(t) = a(1.02)t 11.4 = 5.7(1.02)t2 = 1.02tln 2 ≈ t ln 1.020.693 ≈ 0.0198 t35 = t

"lucy owns a bakery in 2006 she sold pies for $9.50 each in 2010 she sold pies for $17.50. Find the rate of change for the price of a pie from 2006 to 2010"

Answers

Applying it's concept, it is found that the rate of change for the price of a pie from 2006 to 2010 is of $2 a year.

What is the rate of change?

It is given by the change in the output divided by the change in the input.

In this problem, in 4 years, from 2006 to 2010, the price increased $8, from $9.50 to $17.50. Hence, the rate of change is given by:

r = 8/4 = 2.

Thus, the rate of change for the price of a pie from 2006 to 2010 is of $2 a year.

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a stereo is marked down $75. If this is a 15% decrease find the sale price. How do you work this problem out?

Answers

You can do a proportion: 75/15 = x/100
you then do 100x75 and the divide by 15 and get 500.
15% of $500 is $75 so the sale price would be $425 I believe.

Answer:

The selling price is $425.

Step-by-step explanation:

Given information:

Marked down price = $75

15% decrease = $75

Let x be the market price.

[tex]x\times \frac{15}{100}=75[/tex]

[tex]0.15x=75[/tex]

Divide both sides by 0.15.

[tex]x=500[/tex]

The market price is $500.

Selling price = Market price - Marked down

Selling price = $500 - $75

Selling price = $425

Therefore, the selling price is $425.

if N/8+6=58, then N equals?

Answers

N equals 416

Hope this helps!

N/8+6-6=58-6
N/8*8=52*8
N=416
The answer is N equals 416

The ratio of the sum of two numbers to the difference of the two numbers is 9. The product of the two numbers is 80. Find the numbers.

Answers

There are two equations here:

(a+b)/(a-b) = 9 and ab=80

the first one simplifies to 8a = 10b or a = (4/5)b.

You can plug this last part in for 'a' in the second equation:

(4/5)b*b = (4/5)b^2 = 80 which means b^2 = 64 or b = +8 or -8.

I guess the question asks for the positive solution, so then you will find that a = 10 if you plug the value of b in for one of the original equations. Then your final answer would be a = 10 and b = 8. But, there is another solution, I believe, that is a = -10 and b = -8, since ab would still equal 80 and (a+b)/(a-b) would be -18/-2 which still equals 9. Notice that either a and b are both positive or both negative, because this is the only time that the product of both numbers would be also positive.

In a fraternity with 37 members,18 take math 5 take both math and chemistry and 8 take neither math nor chemistry. How many take chemistry but not math

Answers

you can set up a few fractions to represent the members.

(18/37) take math
(5/37) take math and chem
(8/37) take neither

assuming that the remaining members take chemistry only, you can find that by adding all of these fractions: 8 + 5 + 18 = 31, so 31/37 students fall into the listed categories (math only, chem and math, neither). there are 6 members remaining that would take chemistry only.

Answer:

its 11 members

Step-by-step explanation:

the speed of the stream is 4 mph. a boat travels 4 miles upstream in the same time it takes to travel 12 miles downstream. what is the speed of the boat in still water?

Answers

This is an RTD question. Here is a table based on the given information:
up/down . . . .rate . . . .time . . . .distance
upstream . . . . r-4 . . . . T . . . . 7
downstream . . . . r+4 . . . . T . . . .15
Now, rate x time = distance, so
time = distance / rate.
solve each for T and we get
T = (7/(r-4))
T = (15/(r+4))

set the times equal and we get
7%2F%28r-4%29+=+15%2F%28r%2B4%29
cross multiply to get
7r+%2B+28+=+15r+-+60
subtract 7r to get
28+=+8r+-+60
add 60 to both sides to get
88+=+8r
divide by 8 to get
r+=+8

0.04 divided by 1.68

Answers

0.04÷1.68 equals 1 over 42

The correct answer is 0.02380. Hope this helps.

Find the future value and interest earned if $8904.56 is invested for 8 years at 6% compounded (a) semiannually and (b) continuously.

Answers

continuously. which is B

The Future value is $ 15162.80 and Interest is $6258.26

What is Future Value?

The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.

Investors can make wise investment choices based on their projected demands by knowing the future worth. However, external economic forces that depreciate an asset's value, such inflation, might have a negative impact on the asset's future worth.

Given:

P = $8904.56

R= 6%

T= 9

n= 2

Now, Future Value = P [tex](1 + r/n)^ {(nt)}\\[/tex]

FV= 8904.56 [tex](1 + 0.06/2)^ {(2)(9)}\\[/tex]

FV = 8904. 56 [tex]( 1+ 0.03)^{18[/tex]

FV= 8904.56[tex](1.03)^{18}[/tex]

FV = $15162.80

And Interest = FV - P

Interest = 15162. 80 - 8906.4

Interest = $6258.26

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Suppose a carpet for an 8ft by 12 ft room cost $500. How much would an 16 ft by 24ft cost

Answers

Final answer:

To determine the cost of carpeting for a room that is twice the length and width of another, calculate the cost per square foot of the smaller room and then multiply that by the area of the larger room.

Explanation:

The question is asking how much a carpet would cost for a room that is twice as long and twice as wide as an 8 ft by 12 ft room, given that the carpet for the smaller room costs $500.

To solve this, we first find the area of the smaller room, which is 8 ft multiplied by 12 ft, resulting in an area of 96 square feet.

The cost per square foot for the carpet is then $500 divided by 96 square feet, which equals approximately $5.21 per square foot.

Next, we calculate the area of the larger room.

Since both dimensions are doubled, the area will be 16 ft by 24 ft, which equals 384 square feet.

To find the cost for the larger room's carpet, we multiply the area of the larger room by the cost per square foot previously calculated.

Therefore, 384 square feet multiplied by $5.21 per square foot results in a cost of approximately $2,000 for the larger carpet.

Kohl's sells casual shirts for $9 and Poles shirts for $18. Total sales $1080, and customers bought 4 times as many casual as polo shirts. How many casual shirts did kohl sells?

Answers

If we assume the number of polo shirts have been sold is x, the number of casual shirts have been sold will be 4x.
x*18+4x*9=$1080
(18+36)x=$1080
54x=$1080
x=20

The number of casual shirts have been sold is 4*20=80

A researcher is studying the effects of caffine on exam scores of college students. In this study what would be the population and sample of this research?

Answers

College Students because the population and sample research is all about the effect of caffeine in college students

June Elloy makes a 22 percent down payment on a home in Rockford, Illinois. What is the purchase price of the home assuming her down payment is $35,200?

Answers

0.22x = 35200
x=160000
the price is $160000

Answer:

Total purchase price of of the home is $160000

Step-by-step explanation:

We know that

Percent of down payment June Elloy makes = 22 %

Down payment is = $35200

Let x be the total purchase price.

Therefore,

22 % of x = 35200

( 22 / 100 ) times x = 35200

0.22 times x =35200

x = 35200 / 0.22

= 160000

Thus, total purchase price of of the home is $160000

You are building a chair. The plans call for 1/2 inch nails. Your nails are 3/4 inch long. Are your nails too long are too short

Answers

your nails are to long.

Final answer:

The plans call for 1/2 inch nails, but the nails you have are 3/4 inch. Therefore, your nails are too long.

Explanation:

The chair plans call for 1/2 inch nails, but the nails you have are 3/4 inch long. When comparing these lengths, you can see that 3/4 is greater than 1/2. Therefore, your nails are too long for what the plans call for.

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how do you turn a fraction into a whole number

Answers

Fractions that can be turned into a whole number are very easy to calculate, but turning one into a decimal is still simple. You divide the numerator by denominator for both instances.

if its 5/3, how many times can 3 go into 5 ( the answer is 1) thus u have 1 whole number and the remainder which is 2 divided by 3.

My bathroom floor measures 3 feet by 3 feet. I can choose between a ceramic tile floor costing $3.75 per square foot or linoleum costing $32.99 per square yard. Which is cheaper, ceramic title floor or linoleum floor?

Answers

3 x 3 = 9 sq. feet
9 feet = 3 yards

Ceramic tile-
$3.75 x 9 = $33.75

Linoleum-
$32.99 x 3 = $98.97

I think the ceramic tile floor would have been cheaper, but hopefully if I did this wrong someone will correct it. Anyways I hope this helps✌️️.

After calculating the total costs, linoleum flooring for a 3 feet by 3 feet bathroom floor is cheaper at $32.99 compared to ceramic tile flooring which costs $33.75.

The student's question is about comparing the costs of two different types of flooring options: ceramic tile and linoleum. To determine which is cheaper, we need to calculate the total cost of each option for a bathroom floor that measures 3 feet by 3 feet.

First, for the ceramic tile option, we can calculate the area of the bathroom floor (which is length times width), giving us 3 feet × 3 feet = 9 square feet. Next, we multiply the area by the cost per square foot of the ceramic tile: 9 square feet × $3.75 per square foot = $33.75.

For the linoleum option, we need to convert the area of the floor from square feet to square yards because the linoleum is sold by the square yard. There are 9 square feet in a square yard, so the floor area in square yards is 9 square feet ÷ 9 square feet per square yard = 1 square yard. Therefore, the total cost for linoleum would be 1 square yard × $32.99 per square yard = $32.99.

Comparing the two totals, we can see that the cost of linoleum at $32.99 is cheaper than the ceramic tile option which costs $33.75.

what is 3400 as a decimal answer asap

Answers

Just add a decimal (.) to it follow by zeroes:

3400.00

That is true it would just be 3400.00

how do you write 84,052 in word form

Answers

It would be, Eighty-four thousand, and fifty two

Two accounts each begin with a deposit of $5000. Both accounts have rates of 5.7%, but one account compounds interest once a year while the other account compounds interest continuously. Show the amount in each account and the interest earned after one year, five years, ten years, and 20 years.

Answers

The answer for 1 year is 1,000

Factor out the GCF from each term in the expression
3. 30w5 + 25w3
4. 3x(7x + 1) – 2(7x + 1)

Answers

factor each
30w^5=2*3*5*w*w*w*w*w
25w^3=5*5*w*w*w
gcf is 5*w*w*w

30w^5+25w^3=5w^3(6w^2)+5w^3(5)=5w^3(6w^2+5)

4.
7x+1 is factor
remember
ab+ac=a(b+c)
so
(7x+1)(3x)+(7x+1)(-2)=(7x+1)(3x-2)

An election ballot asks voters to select four city commissioners from a group of
twelve candidates. In how many ways can this be done?

Answers

48 ways multiply choices by selection

suppose f(x)=33.3+1.4 log (x+1) models salinity of ocean water to depths of 1000 meters at a certain latitude. x is the depth in meters and f(x) is in grams of salt per kilogram of seawater. Approximate the salinity to the nearest hundredth when the depth is 785 meters

Answers

100.47 because: 33.3+1.4 =34.7
785+1=786
34.7log(786)=100.47

There were 3,905 more hits on the school’s website in January than February. February had 9,854 hits.
How many hits did the school’s website have during both months?

Answers

Add 9,854 and 3,905. That would be how many hits there were in January. Then you add 9,854 to that number and the answer is 23,613

If February had 9,854 hits, then you would just add 3,905 to that number to get 13,759, and just add that to 9,854 to get the answer of 23,613.

1 millimeter on the map represents 1 meter on the ground. What is the ratio

Answers

1mm:1m

since its just one to one, thats the ratio

1. The purpose of this exercise is to provide practice using the LINGO or Excel solvers. Find the values of X and Y that minimize the function

Min X 2 - 4X + Y 2 + 8Y + 20

Do not assume nonnegativity of the X and Y variables. Recall that by default LINGO assumes nonnegative variables. In order to allow the variables to take on negative values you can add

@FREE(X); @FREE(Y);

Alternatively, if you want LINGO to allow for negative values by default, in the LINGO menu select Options and then click General Solver, and then uncheck the Variables assumed nonnegative tab.

Answers

find the minmum value of x^2-4x+y^2+8y+20=?
we don't know what it's equal to, so we set it equal to ?, if you know that ? is, then input it
what we can do is try to convert it to a conic section
complete the squares

(x^2-4x)+(y^2+8y)+20=?
take 1/2 of linear coefient and square it and add negative and positive insde (linear is 1st degree)

(x^2-4x+4-4)+(y^2+8x+16-16)+20=?
factor perfect squares
((x-2)^2-4)+((y+4)^2-16)+20=?
(x-2)^2-4+(y+4)^2-16+20=?
(x-2)^2+(y+4)^2=?

we see this is the equation of a circle
in form
(x-h)^2+(y-k)^2=r^2
center is (h,k)
radius is r
so the lowest point is r units down from (h,k), or the point (h,k-r)

we know that te equation is
(x-2)^2+(y-(-4))^2=?
?=r^2
√?=r
center is (2,-4)
therefor
the minimum value, where the equation is equal to ?, is (2,-4-√?)
good luck, and may the force be with you

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