Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and \$0.08$0.08dollar sign, 0, point, 08 per ball. The field has a promotion that says, "Get \$10$10dollar sign, 10 off if you spend \$75$75dollar sign, 75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.
Let BBB represent the number of paintballs that Carolina buys.
1) Which inequality describes this scenario?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
18+0.08B \leq 7518+0.08B≤7518, plus, 0, point, 08, B, is less than or equal to, 75
(Choice B)
B
18+0.08B \geq 7518+0.08B≥7518, plus, 0, point, 08, B, is greater than or equal to, 75
(Choice C)
C
18+0.08B \leq 1018+0.08B≤1018, plus, 0, point, 08, B, is less than or equal to, 10
(Choice D)
D
18+0.08B \geq 1018+0.08B≥10
Answer:
carolina needs to buy at least 713 paintballs to get $10 off
Step-by-step explanation:
Entrance fee = $18
Fee per ball = $0.08
The field has a promotion that says, "Get $10 off if you spend $75 or more"
Let B represent the number of paintballs that Carolina buys.
18 + 0.08B ≥ 75
Subtract 18 from both sides
0.08B ≥ 75 - 18
0.08B ≥ 57
Divide both sides by 0.08
B ≥ 57 / 0.08
B ≥ 712.5
Approximately
B ≥ 713
carolina needs to buy at least 713 paintballs to get $10 off
6. A spinner is divided into 8 equals sections and the sections are labeled 1 through 8. What is the probability of a success and a failure for this experiment? P (success) = one-fourth; P (failure) = Seven-eighths P (success) = one-fourth; P (failure) = Three-fourths P (success) = three-fourths; P (failure) = one-fourth P (success) = seven-eighths; P (failure) = One-eighth
Answer:
P (Success) = 1/8
P (Failure) = 7/8
Step-by-step explanation:
It is provided that a spinner is divided into 8 equals sections and the sections are labeled 1 through 8.
Only one section is considered as success and the remaining seven are failures.
So, the probability of a success is,
P (Success) = 1/8
And the probability of a failure is,
P (Failure) = 7/8
Answer:
a
Step-by-step explanation:
You take a cab to a restaurant. The final bill of $31.72 included an 18% tip for the driver. What was the original bill?
i need help pleaseeee.
Answer:
problem 9
x is 45 and y is 20
problem 10
x is 20 and y is 10
problem 11
x is 13 and y is 12
Answer:
Step-by-step explanation:
Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by the equation y=-0.02(x-18)^2+12, where x is the ball's horizontal distance in feet from Amaya's position and y is the distance in feet from the ground to the ball. a. How far away is the ball from Amaya when it is at its maximum height? Explain. b. Describe how you would find the ball's height when it crosses the net at x=30. a. How far away is the ball from Amaya when it is at its maximum height? Explain. The ball is nothing ft away from Amaya when it is at its maximum height. Use the ▼ y-coordinate x-coordinate of the vertex.
Answer:
a) 30feet
b) 9.12feet
Step-by-step explanation:
a) Given the path of the ball is modeled by the equation y=-0.02(x-18)²+12, where;
x is the ball's horizontal distance in feet from Amaya's position
y is the distance in feet from the ground to the ball.
The ball will be at the maximum height when dy/dx = 0
Differentiate the function:
dy/dx = 2(-0.02)(x-18)^(2-1)+0
dy/dx = -0.04(x-18)
Equate the resulting expression to zero and find x as shown;
-0.04(x-18) = 0
Open the parentheses
-0.04x+0.04(18) = 0
-0.04x+0.72 =0
-0.04x = -0.72
x = -0.72/-0.04
x = 18ft
Hence the ball is 18ft away from Amaya when it is at its maximum height
b) To get the balls height y when x = 30, we will substitute x = 30 into the equation given and calculate the value of y as shown:
y=-0.02(x-18)²+12
y = -0.02(30-18)²+12
y= -0.02(12)²+12
y = -0.02(144)+12
y = -2.88+12
y = 9.12 feet
Hence the Ball's height is 9.12feet when it crosses the net at x = 30.
Math help please! - ( 5/5 )
Answer: -24
Step-by-step explanation: Convert the decimal into a fraction. Use -a/b=a/-b=-a/-b, to rewrite the fraction. Simplfy the complex fraction. Multiply both sides of the equation by 6. Move constant to the right-hand side and change its sign. Add the numbers Divide both side of the equation by -5 and you get -24.
Shari is planning a 450-mi car trip. Her car can travel about 39 mi on a gallon of gasoline. Gasoline costs $1.89/gal. About how much will the gas cost for her trip?
Algebra I need help!
Answer:
≤ ≥ > < is all of them
1. Find the values of the
angles x, y and z.
40°
25°
z
у
Answer:
z = 40° (V. O. A)
Now find x
40 + 25 + x = 180(A. S. P)
65 + x = 180
x = 180 - 65
x = 115°
Now find y
x = y (V. O. A)
Y = 115°
So angles are
X = 115°
Y = 115°
Z = 40°
Hope this helps, have a great day, have a wonderful weekend and stay safe!
Also Happy Halloween! :) :D :3
(Click on the photo and the 60 and 90 is the rest of the window picture shown.)
Please help!!
Answer:
kind of an estimate but it is probably 220cm, if not then its 175cm, couldn't really see the bottom part of the window
Step-by-step explanation:
HELP PLEASE!!! ASAP PLS!!
Name the same side interior angle with angle 6
Answer:
try 5 or 3, half of 6 is 3 may be the same angle
Which equation best represents the linear function graphed below? CAN YOU BE REALLY QUICKLY THIS IS A MAJOR GRADE AND I ONLY HAVE 90 MINUTES
Answer:
y+1= 1/4(x-4)
Step-by-step explanation:
y+1 = 1/4(x-4)
y+1 = 1/4x-1
y = 1/4x -2 -which is the equation of the line
Translate (-5,4) to the right 2 units Then reflect the result over the y-axis What are the coordinates of the final point
Answer: 3,4
Step-by-step explanation:
Identify an equation in point-slope form for the line perpendicular to
y=-1x +11 that passes through (4, -8).
O A. y +8 = 2(x-4)
B. y - 4 = 2(x+8)
O C. y+8 = {(x-
-4)
O D. 7-8 = {(x + 4)
Answer:
C
Step-by-step explanation:
Perpendicular lines have the exact opposite slope of the other equation.
So the slope will be x or 1x. Plug in
-8 = 1(4) + b (b represents y-intercept) like y=mx+b
-8 = 4 + b (subtract 4 on both sides)
-12 = b
The equation is y = x - 12
C
solve
y + 8 = x - 4 (subtract 8 on both sides)
y = x - 12
Tamar used the algebraic method to convert the repeating decimal number to 2.45 to a fraction. Her first two steps are shown below. Step 1: x=2.45. Step 2: 100x=245.45. What should be Tamar’s next step
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x = 2.4545... → (1)
100x = 245.4545... → (2)
Subtract (1) from (2) eliminating the repeating decimal
99x = 243 ( divide both sides by 99 )
x = [tex]\frac{243}{99}[/tex]
I don’t understand how do you do this I have a assignment for tommorow some one help
Answer:
500 ML
Step-by-step explanation:
for every 1 liter, it is 1,000ML
so 1 L / 2 is 500ML
and 500 on your beaker is located in between 600 and 400
Hope this helps :)
2,3,5,7,11,13 conjecture
Answer:
The primes up to 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47. The sequence of gaps—the differences between each prime and the next—is 1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2 and 4. The number 1 appears only once because all primes except for 2 are odd. The rest of the gaps are even numbers.
The conjecture which could be inferred from the sequence is that it is a list of prime numbers.
From the sequence given : 2, 3, 5, 7, 11, 13
All values in the sequence are prime numbers.
Prime numbers are numbers which have only two divisors which are 1 and the number itself.
Divisors of :
2 = 1 and 2
3 = 1 and 3
5 = 1 and 5
7 = 1 and 7
11 = 1 and 11
13 = 1 and 13
Hence, the conjecture which could be inferred from the sequence is that, the numbers are prime numbers.
Learn more : https://brainly.com/question/9315685
How do you write 3.82 x 100 in standard form?
Answer:
382
Step-by-step explanation:
Cherries are on sale at the grocery store at a price of $5 for 2 pounds. Oscar buys 3
pounds. If he is charged the sale price for the cherries, how much will Oscar pay?
Answer:
$7.5 = 3 pounds
Step-by-step explanation:
1. If $5 is equal to 2 pounds of cherries, you want to find what 1 pound of cherries cost. You should divided 5 by 2 and 2 by 2 to find what 1 pound of cherries cot.
2. That means that 1 pound of cherries cost $2.5.
3. Now we want to find how much money 3 pounds cost, so you should multiply the 2.5 and the 1 by 3.
4. Now that gets you to $7.5 for 3 pounds of cherries.s
How do similarities and dilations relate to slope
Answer:
Dilations create similar figures because multiplying by the scale factor creates proportional sides while leaving the angle measure and the shape the same.
Step-by-step explanation:
24 divided by 7872
PLEASE HELP
Answer:
328 IF its 7,872 divided 24. If it 7,872 divided by 24 then it's 0.00304878049
Step-by-step explanation: Please mark as brainlest i really need to keep me motivated.
31⁄32 ÷ 31⁄32 = _____. (select all that apply) *
a. 1
b. 31⁄32
c. 32⁄31
d. 992⁄992
Answer: It is A 1
Hope it helped
Step-by-step explanation:
Can somebody plz answer all of these right thx!!!<3
(Only if u remember)
WILL MARK BRAINLIEST !
Answer:
+4 < +6-2 > -3+2 > -1-11 < -8-2 < +6+9 > +8
hellllppppp me please
9514 1404 393
Answer:
positive infinitynegative infinityStep-by-step explanation:
The function has a positive leading coefficient (1/3) and is of odd degree (3). These conditions mean the sign of the end behavior of the function will match the sign of x.
x → ∞, m(x) → ∞
x → -∞, m(x) → -∞
This is the equation and we need to solve for y 2x+y=7
Answer: y = -2x + 7
Step-by-step explanation:
Answer:
y= -2x+7
Step-by-step explanation:
We need to keep y on one side of the equation.
2x+y= 7
=2x -2x
y= -2x+7
Hope this helps!
Emilio is helping his uncle with some chores. His unde gave him $5 and will pay him an additional $3 for each chore he completes. Which inequality can be used to
determine x, the number of chores Emilio must complete to earn at least $26?
A. 3.1 +5 > 26
B. 3.3 +5 < 26
C. 3.3 + 5 > 26
D. 3x +5 < 26
Answer:
the correct option is B
I hope my answer is helpful to you
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Lucy is going to walk in a fundraising event to raise money for her school band. Her mother has agreed to donate $7.50 to the school for each mile that Lucy walks, plus an additional $25. What equation represents y, the total amount of money Lucy’s mother will donate if Lucy walks x miles during the event?
A. y = 25x + 7.50
B. y = 7.50x + 25
C. 25 = 7.50x + y
D. 7.50 = y + 25x
B. y = 7.50x + 25
Hope it helps :)
Have a good day/night
Brainliest pls
Can someone please help me graph y = 2x - 7
Answer:
(0,-7) and (3.5,0) are where your dots will go
Step-by-step explanation:
Andrea receives a $40 gift card to use at a town pool. It costs her $8 per visit to swim. A
function relating the value of the gift card, v, to the number of visits, n, is v(n) = 40 - 8n.
a. Identify a reasonable domain of the function. Explain why you chose that
domain. (What are reasonable times to visit the pool?)
b. Given that domain, what is the range of the function?
Answer:
The value of the gift card = v = $40
The visit to the skate cost = $8
The number of visits = n
∴ n = the value of the gift card over the cost of one visit to the skate
∴ n = v/8 = 40/8 = 5
Step-by-step explanation:
The general function for relating the value of the gift card, v, in terms if the number of visits, n. ⇒⇒⇒ v = 8n