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geniusboy [140]
3 years ago
13

Morgan begins biking south to the park at 20mph at noon. Corona leaves from the same point 15 min (.25hr) later to catch her. Ho

w long will it take him to catch Morgan?
Mathematics
1 answer:
garri49 [273]3 years ago
6 0

Answer:

X = 1h15mins

Step-by-step explanation:

      Rate Time  Distance  

Morgan  20    X              20X

Corona  25  X – ¼  25(X – ¼)  

If they meet each other, they need to travle the same distance, mean :  

20X = 25(X – ¼)  

X = 1.25  

1 hour and 15 minutes  

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Maria determined that the length of her driveway from the main road is 35.25 meters.
nordsb [41]
B, there are 1000m in a km.
8 0
3 years ago
Finn is baking cakes for a party. The number of cups of sugar Finn needs is proportional to the number of cakes he plans to bake
Serhud [2]

Note that it is proportional. The graph is given to you, in which the line includes all the points that can be answers. Find the point that is also given as a choice, and it is your answer.

Finn needs 6 cups of sugar for 4 cakes. is your answer

Note that it is in (x,y) format, and that y = cups of sugar, and x = cakes

hope this helps

3 0
3 years ago
Read 2 more answers
Lf x+1/x=12 then find the value of x3+1/x3​
Tresset [83]
Answer:

Explanation:

First we find what x is:
x + 1/x = 12
x + 1 = 12x
1 = 12x - x
1 = 11x
1/11 = x
Or x = 1/11

Plug x value in x^3 + 1/x^3

(1/11)^3 + 1/(1/11)^3
= (1^3/11^3)+ 1/(1^3/11^3)
= (1/1331 + 1)/1/1331
= (1/1331 + 1331/1331)/1/1331
= 1332/1331 x 1331/1
= 1332/1
= 1332

Therefore, x^3 + 1/x^3 = 1332
4 0
3 years ago
Four times a number was 22 greater than twice the same number. What was the number?
Setler [38]

Answer: 11

Step-by-step explanation:

Set up an equation

Based on the question, we can determine that 4x = 22 + 2x where x in is the number

"Four times a number" -> <u>4x</u>

"was" -> <u>=</u>

"22 greater than" -> <u>22 +</u>

"twice the same number" -> <u>2x</u>

Put the underlined parts together to get <u>4x = 22 + 2x</u>

Solve equation

Rearrange/collect like terms to solve for x by subtracting 2x from both sides

4x = 22 + 2x

2x = 22

Solve for x by dividing each side by 2

2x = 22

x = 11

Final Answer

x = 11

8 0
3 years ago
Read 2 more answers
A marine aquarium has a small tank and a large tank, each containing only red and blue fish. In each tank, the ratio of red fish
Anna007 [38]

Answer:

Ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279

Step-by-step explanation:

Let the number of red fish and blue fish in the large tank are x and y respectively.

Similarly ratio of red fish and blue fish in the small tank are x' and y' respectively.

Since in each tank ratio of the red fish to blue fish is 333 : 444

That means x : y = 333 : 444

Or \frac{x}{y}=\frac{333}{444}

⇒ \frac{x}{y}=\frac{3}{4}

⇒ y = \frac{4x}{3} --------(1)

Similarly x' : y' = 333 : 444

⇒ \frac{x'}{y'}=\frac{333}{444}

⇒ \frac{x'}{y'}=\frac{3}{4}

⇒ x' = \frac{3y'}{4} ------(2)

Ratio of the fish in large tank to the fish in small tank is 464646 : 555

So (x + y) : (x' + y') = 464646 : 555

\frac{x+y}{x'+y'}=\frac{464646}{555}

Now we replace the values of x and y' from equation (1) and equation (2)

\frac{(x+\frac{4x}{3})}{(\frac{3y'}{4}+y')}=\frac{464646}{555}

\frac{\frac{7x}{3}}{\frac{7y'}{4}}=\frac{464646}{555}

\frac{4}{3}\times \frac{x}{y'}=\frac{464646}{555}

\frac{x}{y'}=\frac{3}{4}\times \frac{464646}{555}

\frac{x}{y'}=\frac{232323}{370}

\frac{y'}{x}=\frac{370}{232323}

\frac{y'}{x}=\frac{10}{6279}

Therefore, ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279

4 0
3 years ago
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