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alukav5142 [94]
3 years ago
10

From a point on a straight​ road, Marco and Celeste ride bicycles in the same direction. Marco rides at 14 mph and Celeste rides

at 18 mph. In how many hours will they be 25 mi​ apart?
In ___hours they will be 25 mi apart
Mathematics
1 answer:
Ksju [112]3 years ago
7 0

their relative speed is 4 mph. so we put

4 mph = (25 mi)/x => x=25/4.

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Can someone do this fast ? I need it for tomorrow
gregori [183]

Answer:

Step-by-step explanation:

hg(x) means you multiply h(x) times g(x) and then we will set it equal to 3x^2+x-1.

hg(x) = x^2(x+2) which simplifies to

x^3+2x^2. Now set that equal to 3x^2+x-1:

x^3+2x^2=3x^2+x-1 and get everything on the same side and factor:

x^3-x^2-x+1=0. Factor by grouping:

(x^3-x^2)-(x+1)=0 and factor out what's common in each set of ( ):

x^2(x-1)-1(x-1)=0 which factors out to

(x^2-1)(x-1)=0. But x^2-1 factors somoe to:

(x + 1)(x - 1)(x - 1) = 0 So the solutions for this are

x = -1, 1

7 0
3 years ago
You choose a marble at random from a bag containing 8 brown marbles 6 yellow marbles and one purple marble. You replace the marb
Andrej [43]
Pick 1: 6 yellow out of 15 total marbles = 6/15 = 2/5
Pick 2: 6 yellow out of 15 total marbles = 6/15 = 2/5

Pick 1 AND Pick 2
   2/5     x       2/5    = 4/25
5 0
3 years ago
By 8:00 a.m., the snack bar had made $3,256 in sales. By noon, the snack bar’s total sales were $8,821. On average, how much mon
Margaret [11]

Answer:

$1391.25 per hour

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I don't know how to do this problem.....please help
Lemur [1.5K]
I hope this helps you

5 0
3 years ago
Henry buys a large boat for the summer, however he cannot pay the full amount of $32,000 at
Anna007 [38]

Answer:

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

Step-by-step explanation:

Loan payment per month=Amount to pay÷discount factor

Mathematically  P=A÷D

where D is the discount factor calculated using the formula;

\frac{(1+i)^n-1}{i(1+i)^n}

where i=periodic interest rate=annual rate divided by number of payment periods

A is the amount to pay after downpayment

P is the loan monthly payment amount

n=number of periodic payments=payments per year times number of years

⇒In this question you find the discount factor then divide the amount remaining to pay with the discount factor to get monthly payments

Given;

Cost of boat=$32000

Down payment=$14000

Loan to pay=$32000-$14000=$18000

Annual rate=5.5%=i=5.5%÷12=0.458%⇒0.00458

Periodic payments, n=4×12=48

Finding the discount factor D;

D=\frac{(1+i)^n-1}{i(1+i)^n} \\\\\\D=\frac{(1+0.00458)^{48} -1}{0.00458(1+0.00458)^{48} } \\\\\\D=\frac{1.2455-1}{0.005703} \\\\\\D=\frac{0.2455}{0.005703} =43.05

To get the amount to pay monthly divide the loan to pay with the discount factor

=\frac{18000}{43.05} =418.14

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

8 0
3 years ago
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