Inequalities are used to show unequal expressions; in other words, it is the opposite of equalities.
The inequality that represents the scenario is, [tex]18 + 0.08B \ge 75[/tex] and the smallest number of balls Carolina can buy is 713
Given that:
[tex]Entrance\ Fee = \$18[/tex]
[tex]Rate = \$0.08[/tex] per ball
Let:
[tex]B \to Balls[/tex]
The amount (A) Carolina can spend on B balls is:
A = Entrance Fee + Rate * B
This gives:
[tex]A = 18 + 0.08 * B[/tex]
[tex]A = 18 + 0.08B[/tex]
To get $10, Carolina must spend $75 or more.
This means:
[tex]A \ge 75[/tex]
So, the inequality is:
[tex]18 + 0.08B \ge 75[/tex]
The smallest number of balls is calculated as follows:
[tex]18 + 0.08B \ge 75[/tex]
Collect like terms
[tex]0.08B \ge 75 - 18[/tex]
[tex]0.08B \ge 57[/tex]
Divide both sides by 0.08
[tex]B \ge 712.5[/tex]
Round up
[tex]B \ge 713[/tex]
Hence, the inequality is [tex]18 + 0.08B \ge 75[/tex] and the smallest number of balls is 713
Learn more about inequalities at:
brainly.com/question/20383699
Using a linear function, it is found that:
1. [tex]18 + 0.08B \geq 75[/tex], given by option B.2. She has to buy at least 713 paintballs.-----------
The linear function for the cost of B paintballs has the following format:
[tex]C(B) = C(0) + aB[/tex]
In which
C(0) is the fixed cost.a is the cost per paintball.-----------
Question 1:
Entrance fee of $18, thus [tex]C(0) = 18[/tex].Cost of $0.08 per ball, thus, [tex]a = 0.08[/tex]Thus:
[tex]C(B) = 18 + 0.08B[/tex]
The promotion is valid if the cost is of at least 75, thus:[tex]C(B) \geq 75[/tex]
[tex]18 + 0.08B \geq 75[/tex], given by option B.
-----------
Question 2:
The smallest number is the solution of the inequality for B, thus:[tex]18 + 0.08B \geq 75[/tex]
[tex]0.08B \geq 57[/tex]
[tex]B \geq \frac{57}{0.08}[/tex]
[tex]B \geq 712.5[/tex]
Rounding up, she has to buy at least 713 paintballs.
A similar problem is given at https://brainly.com/question/24583430
Help Needed! Legit Answers Only.
The given point (2,5) is in the form (x,y). So x = 2 and y = 5.
Plug x = 2 into the equation given to find the predicted y value
y = 2.5x - 1.5
y = 2.5(2) - 1.5
y = 5 - 1.5
y = 3.5
We get a predicted y value of 3.5, and the actual y value is 5. Subtract the two values in this exact order
residual = (actual) - (predicted) = 5 - 3.5 = 1.5
A positive residual means that our predicted value is too small. A negative residual would be that the predicted value is too large.
Answer:
d=1.5
Step-by-step explanation:
y=2.5x-1.5 point (2,5)
f(2)=2.5(2)-1.5
f(2)=3.5 now we have two point , find the distance between them
(2,5) and (2,3.5)
d=√(x2-x1)²+(y2-y1)²
d=√(2-2)²+(3.5-5)²=
d=√1.5²=1.5
tried different way, it is 1.5
An algebraic expression for the perimeter of a rectangle with a length of 4x and a width of 3x
Please answer it now in two minutes
Answer:3.2 ft
Step-by-step explanation:
sin 32°=[tex]\frac{yz}{6}[/tex]
cross multiply
sin 32° x 6=yz
0.5299 x 6 =yz
yz=3.1795
≅3.2ft
PLEASE ASWER FASTThe x-intercept of the equation 2y – x = -6 is: 3. -3. 6. None of these choices are correct.
Answer:
6
Step-by-step explanation:
Well first we need to tfraph the following equation,
2y - x = -6
Look at the image below
Thus,
by looking at the graph we can tell that the x-intercept is 6.
Hope this helps :)
Answer:
x -intercept = 6Step-by-step explanation:
Method 1
[tex]2y -x = -6\\Let ; y =0\\2(0) -x =-6\\-x =-6\\x = 6\\\\ (6 , 0 )[/tex]
Method 2
[tex]x - interept = -c/a\\a = -1\\b =2\\c = 6\\\\x - intercept =\frac{ -(6)}{-1} \\\\x - intercept = 6[/tex]
A cycling race is 17 miles long. The cyclists will begin at point S and ride a number of laps around a neighborhood block. After the last lap, the cyclists will sprint 2.0 miles to the finish line. A rectangle with a width of 0.75 miles and height of 0.5 miles. The 2 mile finish comes out of one corner. Using the equation w (1.5 + 1) + 2 = 17, the race's organizer determined the cyclists will need to ride 9 laps before the sprint to the finish. Which explains the error? The equation should be 0.75 w + 0.5 w + 2 = 17, and the cyclists will need to ride 12 laps before the sprint to the finish. The equation should be 2 (0.75 w + 0.5) + 2 = 17, and the cyclists will need to ride 21 laps before the sprint to the finish. The solution should be 6, and the cyclists will need to ride 6 laps before the sprint to the finish. The solution should be 8, and the cyclists will need to ride 8 laps before the sprint to the finish.
Answer:
it is c because i took test review
Step-by-step explanation:
Answer:
C The solution should be 6, and the cyclists will need to ride 6 laps before the sprint to the finish.
can someone please help me
Answer:
-4
Step-by-step explanation:
In order to get from point -1, 8, to point 2, -4, you would have to go down 12 and right 3, which would be 12/-3, which would simplify to -4
Answer:
-4Option B is the correct option
Step-by-step explanation:
Let the points be A and B
A ( -1 , 8 ) -----> ( x1 , y1 )
B ( 2 , -4 ) -----> ( x2 , y2 )
Now, let's find the slope of the line:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
plug the values
[tex] = \frac{ - 4 - 8}{2 - ( - 1)} [/tex]
Calculate the difference
[tex] \frac{ - 12}{2 - ( - 1)} [/tex]
When there is a (-) in front of an expression in parentheses , change the sign of each term in expression
[tex] \frac{ - 12}{2 + 1} [/tex]
Add the numbers
[tex] = \frac{ - 12}{3} [/tex]
Reduce the fraction with 3
[tex] = - 4[/tex]
Hope this helps..
Best regards!!
does not
Ether.
1-36. If y varies directly with x and y is 12 when x is 4, then
what is y when x is 8?
what is when x is 3?
what is x when y is 6?
a.
b.
n.
C.
Answer:
Step-by-step explanation:
Hello!
Y varies directly with X, meaning that every time X increases/ decreases, the value of Y is modified.
If Y=12 when X=4 then you can say that Y varies 3 times every time X varies 1 unit
12= 4*z
z=12/4= 3
So Y= 3x
With this in mind:
1) x= 8
Y= 3*8= 24
2) x= 3
Y= 3*3= 9
3) Y= 6
Y= 3x
x=Y/3= 6/3= 1
I hope this helps!
The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
A.
IR
V =
2
3
V=4
B.
Oc. v=1
V = 1/2
v=1
D.
3
.
Answer:
[tex]\frac{4}{3} \pi r^3[/tex].
Step-by-step explanation:
Let's say that the radius is r. The base diameter is two times the radius, or 2r.
Since the height is two times the diameter, the height is 2 * 2r = 4r.
The volume of a cone is 1/3 * h * pi * r^2. So, the volume of the cone is 1/3 * 4r * pi * r^2 = 1/3 * pi * 4r^3 = 4/3 * pi * r^3.
So, the volume of the cone is [tex]\frac{4}{3} \pi r^3[/tex].
Hope this helps!
a kilobyte is 2^10 bytes and a megabyte is 2^20 . how many kilobytes are in a megabyte
Answer:
1024
Step-by-step explanation:
so first you would do 2^10 and 2^20
2^10 = 1024
2^20 = 1048576
then you would just divide 1048576 by 1024
1048576 / 1024 = 1024
Please help! I know its either B or D but im not sure how to tell
Answer:
D.
Step-by-step explanation:
To find the equation of g(x), we can substitute the point into each of the equations.
A. g(x) = (1/4x)^2
1 = (1/4 * 2)^2
1 = (1/2)^2
1 = 1/4
This statement is false, so this is not the equation.
B. g(x) = 1/2 * x^2
1 = 1/2 * (2)^2
1 = 1/2 * 4
1 = 2
This statement is false, so this is not the equation.
C. g(x) = 2x^2
1 = 2 * 2^2
1 = 2 * 4
1 = 8
This statement is false, so this is not the equation.
D. g(x) = (1/2x)^2.
1 = (1/2 * 2)^2
1 = 1^2
1 = 1
This statement is true, so this is your answer.
Hope this helps!
You can buy 5 cans for green beans at the village market for $2.80. You can buy 10 of the same cans of beans at Sam's club for $4.90. Which place is the better to buy
Answer:
The unit price at the village market is 2.80 / 5 = 0.56 and the unit price at Sam's Club is 4.90 / 10 = 0.49. Since 0.49 < 0.56, the answer is Sam's Club.
Answer: Sam's club
Step-by-step explanation:
Because 10/2 = 5, at Sam's club you get twice the beans. Thus, simply multiply 2.8*2 = 5.60. Because $5.60>$4.90, the village market is the worse place to buy.
A football team lost 5 yards on one play and gained 12 yards on the next play. Find the overall change in field position.
Answer:
Equation: -5 + 12
Overall change: 7 yards
Step-by-step explanation:
In the problem, it says "lost 5 yards". "Lost" is another way of saying subtraction or negative. Therefore, our starting number is -5.
The problem also says "gained 12 yards". "Gained" is another was of saying addition or positive. Therefore, our second number is positive 12.
Together, these two numbers look like this: -5 + 12. To add them, go 12 to the right of -5 if on a number line. That would be like this: -5, -4, -3, -2, -1, 0, etc until you get to 7 which should be 12 more than -5.
Therefore, the answer is 7 yards.
work out the shaded area.
plzzzz
Answer:
Shaded area: 70cm^2
Step-by-step explanation:
Whole=120cm^2
White Square=
10-2.5-2.5=5
12-1-1=10
5✖️10=50cm^2
Whole-white=70cm^2
what is the 6th term in the geometric sequence described by this explicit formula ?
Answer:
the answer is d. -5120
Step-by-step explanation:
[tex]a_{n} =-5(4)^{n-1}\\a_{6}=-5(4)^{6-1} \\a_{6}=-5(4)^{5} \\a_{6}=-5(1024)\\a_{6}=-5,120[/tex]
Simplify the expression 3^-8× 34.
Answer:
= [tex]\frac{34}{6561}[/tex]
Step-by-step explanation:
[tex]= 3^{-8}\times \:34\\= 34\times \frac{1}{3^{8} } \\= \frac{1\times \:34}{3^{8} } \\= \frac{34}{3^{8} } \\= \frac{34}{6561}[/tex]
Answer:
1/81
Step-by-step explanation:
Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ: (a + b)^2, (a – b)^2, and (a - b)(a + b).
Answer:
(a+b)^2 = a^2 + 2ab + b^2
(a-b)^2 = a^2 - 2ab + b^2
(a-b)(a+b) = a^2 - b^2
Step-by-step explanation:
An insect is 3.5 millimeters long. Which expression finds the length of the insect in decimeters? Use the metric table to
help answer the question.
Metric Table
kilo-
1,000
hecto-
100
unit
deka-
10
centi-
deci-
0.1
1
milli-
0.001
0.01
A.) 3.5 x 100
B.) 3.5-100
C.) 3.5-10
D.) 3.5x 10
Answer:b
Step-by-step explanation:
C and D are wrong because both of them should be divided and by 100. A is wrong because you are supposed to divide because if you multiply 3.5 x 100 its 350 and it just doesn’t make any sense because milli is smaller than deci. So by process of elimination b is the right answer.
Answer:
b
Step-by-step explanation:
:D
At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 103 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph.Assume that the statistician also gave us the information that the distribution of serve speeds was mound-shaped and symmetric. What percentage of the player's serves were between 115 mph and 145 mph?
A) approximately 16%
B) at most 34%
C) at most 2.5%
D) at most 13.5%
Answer:
D
Step-by-step explanation:
What we need to do here is to calculate the required probability and convert to percentage
Firstly, we start by calculating the z-scores of the two boundary limits
Mathematically;
z-score = (x-mean)/SD
Form the question, we can see that the mean is 103 and the standard deviation is 11
so for 115, z-score would be
z-score = (115-103)/11 = 1.1
For 145, z-score would be
(145-103)/11 = 3.8
So the probability we want to calculate would be;
P(1.1<z<3.8)
We use the standard normal table for this
Mathematically;
P(1.1<z<3.8) = P(z<3.8) - P(z<1.1) = 0.13559
which to percentage is 13.559 %
The closest answer here is D
A spinner has six spaces that are all the same size. Three spaces are yellow, two are red, and one is blue. If the spinner is spun 150 times, it should land on yellow about ___ times, on red about ___ times, and on blue ___ times.
The spinner should land on yellow about 75 times, on red about 50 times, and on blue about 25 times.
How to solve the probabilityYellow: 3 spaces out of 6, so the probability is 3/6 = 1/2
Red: 2 spaces out of 6, so the probability is 2/6 = 1/3
Blue: 1 space out of 6, so the probability is 1/6
multiplying the probability of each color by 150:
Yellow: 1/2 * 150 = 75 times
Red: 1/3 * 150 = 50 times
Blue: 1/6 * 150 = 25 times
Terefore The spinner should land on yellow about 75 times, on red about 50 times, and on blue about 25 times.
Read more on probability here:https://brainly.com/question/24756209
#SPJ1
What is the value of x
Answer:
4
Step-by-step explanation:
For the first triangle which is triangle <KJL
Hypotenuse= 8✓2
Angle=30°
Opposite = ?
Therefore we will use Sine formula
Sin30° = Y/8✓2
Y=4✓2
For the second triangle which is triangle <JML
Hypotenuse= 4✓2
Opposite=X
Angle=45°
Therefore we will use Sine formula again
Sin45°=X/4✓2
X=4
Answer:
x = 4Step-by-step explanation:
ΔJKL is half of equilateral triangle and ΔJML is half of square.
We can use properties of these triangles (picture):
m∠KJL=90° and m∠JKL = 30° ⇒ JL = 0.5KL = 0.5•8√2 = 4√2
m∠JML=90° and m∠MJL = 45° ⇒ JL = ML√2
4√2 = x√2
x = 4
HELP!! this is due today
Answer:
1
Step-by-step explanation:
If y=x, than the only way
y=rx can be possible is if r=1
Hope this helps!
Have a good day! :)
Answer:
1
Step-by-step explanation:
y = rx
Use any set of x and y-coordinates in the equation and solve for r.
For example, use (5.8, 5.8).
5.8 = r(5.8)
Divide both sides by 5.8:
r = 1
Answer: r = 1
Which answer choice is equivalent to the expression below? Negative 7 (2 + n) + one-third (negative 9 minus 6 n) Negative 17 minus 9 n Negative 14 minus 12 n 11 + 5 n 14 + 2n
Answer:
a. -17 -9n
Step-by-step explanation:
Question written clearly below:
Which answer choice is equivalent to the expression below?
-7(2+n)+1/3(-9-6n)
a.-17 -9n
b, -14-12n
c. 11+5n
d. 14+2n
Solution
-7(2+n)+1/3(-9-6n)
Open parenthesis
(-14-7n)+(-9/3-6/3n)
= -14-7n+(-3-2n)
= -14-7n-3-2n
Collect like terms
= -14-3-7n-2n
= -17-9n
The answer is option a. -17 -9n
Answer:
-17 -9n
Step-by-step explanation:
i got it right on edge
He Perimeter of a
regular decagon is 328cm
stake the length of one of its
sides
Answer:
32.8 cm
Step-by-step explanation:
decagons have 10 sides, so 328/10=32.8
Answer:
32.8 cm
Step-by-step explanation:
A regular decagon has 10 equal sides.
The perimeter of the decagon is 328 centimeters. The perimeter is the measure of all 10 sides added together. Since this is a regular decagon, all 10 sides are equal. Therefore, we can divide 328 by 10.
328 / 10
32.8
Add units, in this case, centimeters or cm.
32.8 cm
Each side of the decagon is 32.8 centimeters.
four less than three times a number is 20
Answer:
3x-4
Step-by-step explanation:
Have a good day!!
Answer:
3x-4
Step-by-step explanation:
[tex] \sqrt[3]{y} = a(c + \frac{1}{x})[/tex]
Greetings from Brasil...
Here we don't have much to go
∛Y = A.(C + 1/X)
∛Y = (AC + A/X)
raising both members to the cube.....
(∛Y)³ = (AC + A/X)³
from Notable Products: (a + b)³ = a³ + 3a²b + 3ab² + b³
Y = (AC)³ + 3(AC)².(A/X) + 3AC(A/X)² + (A/X)³
Y = A³[C³ + (3C²/X) + (3C/X²) + (1/X³)]
En la figura los segmentos ED y AC son paralelos selecciona los triangulos q son 1)Triangulo ABE 2)Triangulo BCD 3) Triangulo BDE
Respuesta:
Los 3 triángulos son semejantes.
Explicación paso a paso:
En estos casos nos dan a conocer los ángulos de los triángulos, por lo tanto el criterios de semejanza se reduce si más de dos de sus ángulos internos son iguales.
Por lo tanto, sabemos que en los triángulos ABE y BCD presentan los mismos ángulos, 80°, 40° y 60° por lo que podemos afirmar que ambos triángulos son semejantes.
Ahora bien, para el triangulo BDE, podemos conocer solo un angulo del que es de 80°, pero el resto sería desconocido, lo que quiere decir que no podríamos determinar si es semejante con los otros, pero por medio de los ángulos externos determinamos que si corresponde también a 60° y 40°, por lo tanto, los 3 triángulos son semejantes.
What is the slope of the graph?
Answer:
-2
Step-by-step explanation:
The slope formula is
m = ( y-2-y1)/(x2-x1)
Using two points on the line (0,4) and (2,0)
m = ( 0-4)/(2-0)
= -4/2
=-2
Answer:
-2
Step-by-step explanation:
Slope is change in y over change in x
the change in y is -2 and the change in x is 1 so you do -2/1 and that as a whole number is -2.
What is the value of p such that the line passing through (6,2) and (9,p) has a slope of -1?
Answer:
p= -1
Step-by-step explanation:
gradient=y²-y¹
x²-x¹
-1 =p-2
9-6
-1=p-2
3
multiply both sides by 3 to remove the denominators
-1×3=p-2
-3=p-2
put the like terms together
-3+2=p
-1=p
If you wrote the numbers from 1-8, and it equals to three, how do you make the statement true if you can't change the 3 but you could connect two or more numbers to make the statement true if you also can only do subtraction?
Answer:
Just add 6 to the right side of 3 which will make as 36
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36
Hope it helps u...pls mark as brainliest
BC is parallel to DE.
AB= X, AD=5, AC=X+1 and AE=7. The value of X is?
A: 0.5
B: 1.5
C: 2.5
D: 3.5
Answer:
x= 2.5
Step-by-step explanation:
We can use ratios to solve
AB AD
------- = ----------
AC AE
X 5
------- = ----------
x+1 7
Using cross products
7x = 5(x+1)
Distribute
7x = 5x+5
subtract 5x
7x-5x = 5x-5x+5
2x= 5
Divide by 2
2x/2 = 5/2
x = 2.5