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3 years ago

Johnny went to the carnival. It cost $7 to get in and $2 for every ticket. Which equation would match this verbal description?

Mathematics

2 answers:

Natali5045456 [20]3 years ago

8 0

Answer:

y=7+2x

Step-by-step explanation:

Xelga [282]3 years ago

8 0

Answer:

The answer is x=2x+7

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In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second

Molodets [167]

Given:

In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second.

To find:

The equation for the given situation if the sum of the numbers is 77.

Solution:

a. Let the first number in the set is x.

The second is 3 more than the first. So, the second number is $(x+3)$ .

The 3rd number is a square of the second. So, the third number is $(x+3)^2$ .

Therefore, the first, second and third numbers are $x,(x+3),(x+3)^2$ respectively.

b. The sum of the numbers is 77.

First number + Second number + Third number = 77

c. So, the equation in terms of x is:

$x+(x+3)+(x+3)^2=77$

Therefore, the required equation is $x+(x+3)+(x+3)^2=77$ .

d. On simplification, we get

$x+x+3+x^2+6x+9=77$ $[\because (a+b)^2=a^2+2ab+b^2]$

$x^2+(6x+x+x)+(3+9)=77$

$x^2+8x+12=77$

Subtract 77 from both sides.

$x^2+8x+12-77=77-77$

$x^2+8x-65=0$

Therefore, the simplified form of the required equation is $x^2+8x-65=0$ .

6 0

2 years ago

A population of 1,000 squirrels lives on a rectangle-shaped farm plot that is 25 feet long by 10 feet wide what is the populatio

Lemur [1.5K]

First, find the area of the plot:
25*10=250

1000/250 is 4

the population density is 4 squirrels per square foot.

5 0

3 years ago

HELP PLZZZZZ

viktelen [127]

Answer:

The last statement

7 0

2 years ago

Read 2 more answers

Please help !!!!!!!!!!

Vesna [10]

Answer:

(2, 2) states x=2 and y=2

Considering the inequality:

$y\leq 4x-6$

Is y less than or equal to 2 when x = 2?

$2\leq 4(2)-6\\2\leq 8-6\\2\leq 2\\$

Yes, (2, 2) is a solution for the inequality.

4 0

2 years ago

A curve has the slope 2x+3 at each point (x,y) on the curve. What is an equation for this curve if it passes through the point (

yawa3891 [41]

Therefore, f(x) = 2x + 3 is your derivative function, and you need to find the original curve. So find the antiderivative using the given conditions...

∫f(x) = ∫2x + 3 dx
F(x) = x^2 + 3x + C
2 = (1)^2 + 3(1) + C
2 = 4 + C
C= -2

Therefore, the curve is F(x) = x^2 + 3x - 2

Proof: The derivative is the slope at every (x, y) point. The derivative of F(x) comes out to be 2x + 3, so we have found the curve. Plug in x = 1, and y = 2, so the conditions have been met.

<span>Hope I helped.</span>

5 0

3 years ago