1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
skelet666 [1.2K]
3 years ago
15

. The team practice s in a pool that is 30 meters long by 20 meters wide. T he fastest member on the team completes a lap in 22.

5 seconds. H ow long will it take them to complete a lap in an Olympic - size d compe tition pool that is 50 meters long by 25 meters wide if each team member swims at the same rate in both pools ?
Mathematics
1 answer:
LenaWriter [7]3 years ago
7 0
\frac{22.5}{30} = \frac{x}{50} \\\\30x=22.5 (50)\\\\30x=1125\\\\\boxed{x =37.5~seconds}
You might be interested in
Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac
White raven [17]
A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a?  well, is just (4/100) * a, or 0.04a.

how much is 9% of b?  well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

\bf \begin{cases}
a+b=26500\implies \boxed{b}=26500-a\\
0.04a+0.09b=1510\\
----------------\\
0.04a+0.09\left( \boxed{26500-a} \right)=1510
\end{cases}
\\\\\\
0.04-0.09a+2385=1510\implies -0.05a=-875
\\\\\\
a=\cfrac{-875}{-0.05}\implies a=17500

how much was invested at 9%?  well, b = 26500 - a.
7 0
3 years ago
Willie Workout joined a health club. There was a $50 registration fee, and a $25 monthly fee. If Willie visits the club 3 times
IrinaVladis [17]
25×12
=300

300+50
=350

52×3
=156

350÷156
=2.24 ...answer
4 0
3 years ago
Read 2 more answers
At many golf​ clubs, a teaching professional provides a free​ 10-minute lesson to new customers. A golf magazine reports that go
Bezzdna [24]

Answer:

Given:

Mean, u = 2100

A golf magazine reports the mean gain to be $2100, while the teaching professional believes the average gain is not $2100.

Here the null and alternative hypotheses would be:

Null hypothesis:

H0: u = 2100

Alternative hypothesis:

Ha: u ≠ 2100

b) Here, given the level of significance,\alpha as 0.10. This means that:

The probability that the null hypothesis H0 is rejected when average gain is $2100 is 0.10

8 0
4 years ago
A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. I
DedPeter [7]

Answer:

300 cars must be made to minimize the unit cost

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a>0, the vertex is a minimum point, that is, the minimum value happens at x_{v}, and it's value is y_{v}.

The cost of producing x cars is given by:

C(x) = 0.7x^2 - 420x + 81610

So a quadratic equation with a = 0.7, b = -420, c = 81610

How many cars must be made to minimize the unit cost?

This is the xvalue of the vertex. So

x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300

300 cars must be made to minimize the unit cost

8 0
3 years ago
Help with my khan academy assignment please
seraphim [82]
Full bubble at 0, then make it go right.
8 0
3 years ago
Read 2 more answers
Other questions:
  • a restaurant worker used 5 loaves of wheat and 2 loaves of rye bread to make sandwiches for an event.what does the ratio 7:2 mea
    7·1 answer
  • What value of x makes the in quantity 1/2 x greater than or less than 7 true
    11·1 answer
  • Show how to make a ten to solve 13-7. Write the number sentence
    10·1 answer
  • If 16 adult females are randomly selected find the probability that they have pulse rates with a mean less than 81 beats per min
    8·1 answer
  • Solve f - 6 = 3f + 1
    15·2 answers
  • Suppose that r1 and r2 are roots of ar2 + br + c = 0 and that r1 = r2; then exp(r1t) and exp(r2t) are solutions of the different
    9·1 answer
  • HELP PLEASEEEE THANKS
    15·2 answers
  • What type of word a relationship does this analogy show
    8·2 answers
  • What is 67 time 14 plus 57 equals to im doing a test right now
    8·2 answers
  • Write 2 / 3 of 4 as a mixed number. ​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!