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3 years ago

14

It costs $100 to rent the bowling alley, plus $4 per person. The cost for any number (n) of people can be found using the expres

sion 100 + 4n. The cost for 20 people equals $ ___. (Input whole number only.)

2 answers:

melomori [17]3 years ago

7 0

Answer:

180

Step-by-step explanation:

STatiana [176]3 years ago

3 0

Answer: The cost for 20 people equals $180.

Step-by-step explanation:

Given: It costs $100 to rent the bowling alley, plus $4 per person.

The cost for any number (n) of people can be found using the expression

$100+4n$

We can find the cost for 20 people by substituting n=20 in the above expression, we get

$100+4(20)=100+80=180$

Hence, The cost for 20 people equals $180.

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2x-y=3<br> -x-y=3 <br><br> what does this equal system of equations

Jet001 [13]

Topic : Linear equations in two variables.

Given :

2x - y = 3 ––– (i)
- x - y = 3 ––– (ii)

Solution :

Now,

(i) – (ii)

$\qquad \sf \: { \dashrightarrow 2x - y - ( - x - y) = 3 - 3}$

$\qquad \sf \: { \dashrightarrow 2x - y + x + y) = 3 - 3}$

$\qquad \sf \: { \dashrightarrow 3x = 0}$

$\qquad \bf \: { \dashrightarrow x = 0}$

Now, substituting the value of x in Eq (i) :

$\qquad \sf \: { \dashrightarrow 2x - y = 3 }$

$\qquad \sf \: { \dashrightarrow 2(0)- y = 3 }$

$\qquad \sf \: { \dashrightarrow 0- y = 3 }$

$\qquad \bf \: { \dashrightarrow y = - 3 }$

Therefore,

<u>The value of x = 0 and y = -3</u>

3 0

2 years ago

Determine the area enclosed by y=2x+3, the x-axis and the ordinates x=3 and x=4

jok3333 [9.3K]

Answer:

$\displaystyle \int\limits^4_3 {2x + 3} \, dx = 10$

General Formulas and Concepts:
<u>Calculus</u>

Integration

Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

y = 2x + 3

<em>x</em>-interval [3, 4]

<em>x</em>-axis

<em>See attachment for graph.</em>

<u>Step 2: Find Area</u>

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^4_3 {2x + 3} \, dx$
[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle A = \int\limits^4_3 {2x} \, dx + \int\limits^4_3 {3} \, dx$
[Integrals] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle A = 2 \int\limits^4_3 {x} \, dx + 3 \int\limits^4_3 {} \, dx$
[Integrals] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = 2 \bigg( \frac{x^2}{2} \bigg) \bigg| \limits^4_3 + 3(x) \bigg| \limits^4_3$
[Integrals] Integrate [Integration Rule - FTC 1]: $\displaystyle A = 2 \bigg( \frac{7}{2} \bigg) + 3(1)$
Simplify: $\displaystyle A = 10$

∴ the area bounded by the region y = 2x + 3, x-axis, and the coordinates x = 3 and x = 4 is equal to 10.

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Learn more about integration: brainly.com/question/26401241

Learn more about calculus: brainly.com/question/20197752

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

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2 years ago

What are some conclusions you can make ably the distribution of the data?

olganol [36]

Answer: you can say that all of the numbers have been evenly spread through the chart

Step-by-step explanation:

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3 years ago

Question 3 Solve for m. 4 over 3 m equals 4

Lorico [155]

Answer:

$m = 3$

Step-by-step explanation:

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3 years ago

What is the answer to 2/3 of something equals 10

denis23 [38]

In math, when you see the word "of" it usually means "times".

So the question is:

<u>2/3 times something = 10</u>

Multiply each side of the equation by 3 :

2 times something = 30

Divide each side by 2 :

<em> something = 15</em>

7 0

3 years ago

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