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dangina [55]
1 year ago
6

Bowling alley A charges to rent shoes and per game. Bowling alley B charges to re shoes and per game. a. For what numbers of gam

es is the total cost, including a pair of rental shoes, less at bowling alley A? at bowling alley B?
Mathematics
1 answer:
matrenka [14]1 year ago
4 0

The computation shows that the price of each game is $2.5 and the price of shoe rental will be $3.

<h3>How to illustrate the information?</h3>

Fron the information given, the equation will be:

s + 4g = 13

s + 8g = 23

4g = 10

g = 2.5

Therefore, the price of each game is $2.5

The price of shoe rental will be:

s + 4g = 13

s + 4(2.50) = 13

s = 13 - 10.

s = 3

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

You might be interested in
a student walks 8 steps east 6 steps northeast 9 steps north west what is her displacement? include magnitude and direction
kati45 [8]

The displacement is 18.03 steps, and the direction is 47.25°

<h3>How to get the displacement?</h3>

We know that displacement is the difference between the final position and the initial position.

We assume the initial position (0, 0). Let's define the positive x-axis as the east and the positive y-axis as the north.

First, the student moves 8 steps east, so she is at:

(0 + 8, 0)

Then she moves 6 steps northeast, so the new position is:

(6*cos(45°) + 8,  6*cos(45°))

Finally, she moves 9 steps due north, so we have:

(6*cos(45°) + 8,  6*cos(45°) + 9)

Then the final position is:

(12.24, 13.24)

So the displacement is:

D = (12.24, 13.24) - (0, 0) =  (12.24, 13.24)

The magnitude of the displacement is:

|D| = \sqrt{12.24^2 + 13.24^2} = 18.03

So the magnitude is 18.03 steps.

And the direction is given by the arctangent of the quotient between the y-component and the x-component:

\theta = Arctg(13.24/12.24) = 47.25 \°

If you want to learn more about displacements:

brainly.com/question/4931057

#SPJ1

8 0
2 years ago
involving the election of officers on a committee. Assume that the committee consists of 14 members including Tasha. The same th
Yanka [14]

Answer:

There are 364 ways of filling the offices.

Step-by-step explanation:

In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

C^{n} _{r}=\frac{n!}{(n-r)!r!}

where n=14 (number of members)

r=3 number of offices

n!=n·(n-1)·(n-2)·...·3·2·1

C^{14} _{3}=\frac{14!}{(14-3)!3!}=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{(11*10*9*8*7*6*5*4*3*2*1)*(3*2*1)}=\frac{14*13*12}{3*2*1} =364

5 0
3 years ago
If two distinct planes intersect , then their intersection is a line . Which geometry term does the statement represent
Rom4ik [11]

Answer:

POSTULATE

Step-by-step explanation:

<em>A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven </em>

<em> </em>

<em>  </em>

<em> </em>

<em>In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not. </em>

<em> </em>

<em>  </em>

<em> </em>

<em>This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics: </em>

<em> </em>

<em>  They are presumed true by most of the scholars in the field. </em>

<em> </em>

<em>Its contradiction goes against the very essence of the subject. </em>

<em> </em>

<em>Postulate 6: If two planes intersect, then their intersection is a line.</em>

<em />

<em>See Attachment for Details ^^</em>

<em>The image attached  represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)</em>

<em>Therefore</em><em>, </em>

<em> </em>

<em>The Geometry term that represents the statement above is POSTULATE</em>

5 0
3 years ago
What is the approximate volume of a cylinder with a diameter of 12 meters and a height of 7 meters? Use 3.14 for pi.
kkurt [141]
V=\pi r^2 h
r - radius, h - height
The diameter is twice the radius.

d=12 \ m \\&#10;r=\frac{12}{2} \ m = 6 \ m \\&#10;h=7 \ m \\ \\&#10;V=\pi \times 6^2 \times 7=\pi \times 36 \times 7=252 \pi \approx 252 \times 3.14=791.28 \approx 791.3

The answer is c. 791.3 m³.
3 0
3 years ago
A construction firm is trying to decide which of two models of a crane to purchase. Model A costs $90,000 and requires $4,000 pe
liraira [26]
Let's say hmm let's use the figures in thousands, so
model A costs 90 + 4 per year, so... ok.. after "t" years, then the cost for model A is then 90 + 4*t, or A = 90 + 4t.

now, model B is 70 + 10 per year, so,... after "t" years, model B is then
B = 70 + 10 * t, or B = 70 + 10t.

if we were to assume A < B, namely the cost of A is less than B, what would the years be? namely, what's "t"?

\bf A\ \textless \ B\implies 90+4t \ \textless \  70 + 10t\implies 90-70 \ \textless \  10t-4t&#10;\\\\\\&#10;20 \ \textless \  6t\implies \cfrac{20}{6}\ \textless \ t\implies \cfrac{10}{3}\ \textless \ t\implies 3\frac{1}{3}\ \textless \ t&#10;\\\\\\&#10;\textit{3 years and }\frac{1}{3}\textit{ or \underline{3 years and 4 months}}

after that period, then A becomes cheaper than B.
8 0
3 years ago
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