Answer: radius=8, circumference=16π
Step-by-step explanation:
diameter is 16 centimeters
the radius of a circle is half its diameter
so, radius = 16/2 = 8
circumference of a circle = 2πr
so, circumference = 2π(8cm) = (16π) cm
Table The table shows the number of carnival tickets purchased and the corresponding number of entries in the raffle drawing. If x is the number of tickets purchased and y is the number of entries in the raffle drawing, then the equation represents the table. How many entries would be in the raffle drawing if 20 tickets were purchased?
Answer:
Step-by-step explanation:
Following are the response to the given table:
Consider the linear function is [tex]\bold{y= 12x+b}[/tex], where by x is the number of purchased tickets and y is the amount of raffle participation.[tex]\begin{cases}R+b=3 & R=1 \\ 2R+b=4 &b=2 \end{cases}[/tex]Therefore, whenever [tex]\bold{x=20}[/tex], the equation [tex]\bold{ y=x+2 }[/tex] reflects the tables (numerical substitution method). when [tex]\bold{ x=20 \ \ \ y= 20+2=22}[/tex]As just a result, [tex]\bold{ 22}[/tex] tickets were purchased again for roffle drawing.Therefore, the final answer is "[tex]\bold{y=x+2 \ and \ 22}[/tex]".
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1. Solve for x.
x + 11 = 3
-11
-11
x=- 8
2. Solve for x.
x + 5 = 11
25-5
*=6)
3. Solve for z.
2-33 = 40
+33 +33
(2
=
–
7
4. Solve for x.
- 8x = 56
Answer:
for #4 x=-7
Step-by-step explanation:
a negative times a negative is a positive and 8 times 7 = 56
Solve the system of linear equations by elimination.
3x - 2y = 4
6x- 2y = -2
Answer:
the value of x is (-2) and y is (-5)
Which graph represents the solution set for the inequality 8z≤ 16?
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]8z\leq 16[/tex]
Solve for z
Divide by 8 both sides
[tex]z\leq 16/8[/tex]
[tex]z\leq 2[/tex]
The solution for z is the interval ----> (-∞,2]
All real numbers less than or equal to 2
In a number line the solution is the shaded area at left of z=2 (closed circle)
using a graphing tool
see the attached figure
The table shows the cost,c, of buying each number of boxes,b,of cookies. Write an equation that models this situation.
A. b=3c
B. c=3b
C. b=8c
D. c=8b
Answer:
B
Step-by-step explanation:
Each box of cookies is $3 since 4 x 3 =12, 6 x 3 = 18, and 9 x 3 = 27. So we want to multiply the number of boxes, b, by 3 to get the cost, c. The correct equation is c = 3b.
An equation that models this situation is c = 3b. The correct option is B.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given the data is,
b c
4 12
6 16
9 27
c = kb
12 = k x 4
k = 12 / 4 = 3
c = 3b
Therefore, the equation that models this situation is c = 3b. The correct option is B.
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what is 8/9 times 5/7 times 1/8 as a fraction in simplest form
Answer:
5/63
Step-by-step explanation:
8/9(5/7)(1/8)=
8/9(5/7)=
40/63(1/8)=
5/63
by the way 8/9 x 5/7 x 1/8
is also the same as (8/9)(5/7)(1/8)
To find the product of 8/9, 5/7, and 1/8, multiply the numerators and denominators to get 40/504 and simplify it to 5/63.
Explanation:To solve the multiplication of fractions, we need to multiply the numerators together and the denominators together. For the expression 8/9 times 5/7 times 1/8, we multiply the numerators 8, 5, and 1 to get 40, and the denominators 9, 7, and 8 to get 504. Simplifying the fraction 40/504 involves finding the greatest common divisor, which is 8 for both numerator and denominator, and dividing them by this number.
Doing so, we get 40 ÷ 8 = 5 and 504 ÷ 8 = 63. Hence, the solution simplified is 5/63.
The number of games in the first round of a chess tournament is equal to 2×2×2×2×2×2. Write the number of games using an exponent.
Answer:
2^6
Step-by-step explanation:
2 is being multiplied 6 times meaning it would be 2 to the 6th power.
what is the square root of 10
Answer:
3.1622776 OR √ 10
Step-by-step explanation:
The result can be shown in multiple forms.
Exact Form:
√ 10
Decimal Form:
3.16227766
3.1622776
Step-by-step explanation:
[tex]\sqrt{10}-\text{it's an irrational number}\\\\\text{You can only have an approximation}\ \sqrt{10}\approx3.1623[/tex]
How old will Bill be in 10 years if he is x + 2 years old now? Which expression represents this? (x + 2) + 10 10(x + 2) (x + 2) - 10
Answer: 10(x+2)
Step-by-step explanation:
Answer:
(x+2) + 10
Step-by-step explanation:
(x+2) is his current age, then you add the 10 years to get your answer.
The product of 8 and 12
[tex]\text{Hey there!}[/tex]
[tex]\text{The \bf{product}}\text{ of 8 and 12 is [blank]}[/tex]
[tex]\text{Whenever you see the word \bf{product}}\text{ in mathematics, it usually means}\\\text{multiply}[/tex]
[tex]\text{\bf{The PRODUCT of 8 and 12 is 96 because 8 times 12 equal 96}}[/tex]
[tex]\boxed{\boxed{\huge{\text{\bf{Answer: 96}}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Step-by-step explanation:
Hello!
Product means to multiply.
Which means it’s x added by itself y times.
For this problem it means 8 added by itself 12 times.
You can do:
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8, which equals 96.
Or, 8 x 12.
Which is 96.
It still represents 8 + 8, etc.
But your doing it faster.
Therefore, your Product is 96.
Solve
394.029 + 5.38
Answer:
399.409
Step-by-step explanation:
Add both numbers to get your answer.
Answer:
The answer is
399. 409
Let's say you opened your laptop and positioned the
screen so it's exactly at 90° - a right angle - from your
keyboard. Now, let's say you could take the screen and
push it all the way down beyond 90°, until the back of the
screen is flat against your desk. It looks as if the angle
disappeared but hasn't. What is the angle called, and
what is the measurement?
A. Straight angle at 180°
B. Linear angle at 90°
C. Collinear angle at 120°
D. Horizontal angle at 180°
it will surely look like an angle on a straight line. which adds up.to 180,so the answer is horizontal angle at 180degrees
Final answer:
The correct answer is A. Straight angle at 180°, describing the angle formed when a laptop screen is moved from a 90° position to lying flat against the desk.
Explanation:
The question asks about the angle formed when a laptop screen is opened from a right angle (90°) to lying flat against the desk, covering a full range from vertical to horizontal. This describes a straight angle, which measures 180°. Initially, the laptop screen at a 90° angle to the keyboard represents a right angle. Pushing the screen down to lie flat transitions this to a straight angle, where the angle between the keyboard and the back of the screen spans a flat, straight line. Therefore, the correct answer is A. Straight angle at 180°.
The following graph is of an exponential function of the form y=a*bx.
What values of a and b would make this equation work?
a=
b=
Answer:
a= 15
b=1/3
Step-by-step explanation:
key rule: see the graph carefully to get the following identified points.from the given graph, it can be seen that, the curve passes through (0,15)by substituting this point in y=a*(b)^x,15=a*(b)^0
15=a
it can also be seen that the curve passes through (1,5)by substituting this point in y=a*(b)^x,5=a*b
5=15*b ( since, we have found that a=15 from the before steps)
dividing both the sides by 15,5/15=b=1/3
hence,a= 15
b=1/3.
Which of the following is the saluting to the inequality 9+2x>5x? A. 2 B.3 c.4 d.8
Answer:
x < 3
Step-by-step explanation:
We are given an equation of inequality of single variable x.
So, we have to solve the inequality and get the solution in terms of another inequality.
The given equation is 9 + 2x > 5x
⇒ 9 > 5x - 2x
⇒ 9 > 3x
⇒ 3x < 9 {Since if a > b then we can write b < a as they means the same.}
⇒ x < 3 (Answer)
{Dividing both sides of an inequality with a positive number need no change in inequality sign}
my teacher keeps explaining what a "vertical line test" is and how it helps solve a linear equation plz explain and dumb it down for me hahahaha thx.(Im new here btw)
The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.
Can anyone Help me please
Option A: 21 pairs is the right answer
Step-by-step explanation:
Given
total strength of cycling team = 7
Captains to be selected = 2
As the order of selection doesn't matter, the combinations will be used to get the number of ways the pair can be chosen
Combination is solved as:
[tex]C(n,r) = \frac{n!}{r!(n-r)!}[/tex]
Here
n=7
r = 2
[tex]C(7,2) = \frac{7!}{2!(7-2)!}\\C(7,2) = \frac{7!}{2!*5!}\\=21\ pairs[/tex]
Hence,
Option A: 21 pairs is the right answer
Keywords: Combination
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(29)
4. During the morning commute
96 cars and 24 trucks passed
through the intersection. What is
the ratio of cars to trucks?
Answer:
Step-by-step explanation:
96:24
96 divide by 24 = 4
so it would be 4 cars to 1 truck
so 4:1
Answer:
4:1 Explanation: because of how when you divide the two its 4 and there's one truck left
Jeffrey is a kickboxing instructor who will be teaching classes at a local gym. To get certified
as an instructor, he spent a total of $200. Jeffrey will be earning a base salary of $50 per
month from the gym, plus an additional $3 for every class he teaches. If Jeffrey teaches a
certain number of classes during his first month as an instructor, he will earn back the
amount he spent on certification. How many classes will that take?
If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.
Step-by-step explanation:
Amount spent on certification = $200
Base salary = $50
Payment per class = $3
Let, x be the number of classes.
J(x) = 50+3x
He needs to earn $200 dollars in first month, therefore,
50+3x=200
[tex]3x=200-50\\3x=150[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{150}{3}\\x=50[/tex]
If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.
Keywords: function, linear equation
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Triangle ABC is rotated to create the image A'B'C'.
On a coordinate plane, 2 triangles are shown. The first triangle has points A (negative 1, negative 1), B (1, negative 1), and C (0, negative 4). The second triangle has points A prime (1, 1), B prime (negative 1, 1), and C prime (0, 4).
Which rule describes the transformation?
(x, y) → (x, –y)
(x, y) → (y, x)
(x, y) → (–x, –y)
(x, y) → (–y, –x)
Answer:
The transformation used here is,
(x, y) → (-x , -y)
Step-by-step explanation:
Triangle ABC is rotated to create the image of triangle A'B'C'
Co-ordinates of A, B, C are,
A = (-1 , -1) ; B = (1 , -1) ; C = (0, -4)
Co-ordinates of A' ,B' , C' are,
A'= (1 , 1) ; B' = (-1 , 1) ; C' = (0, 4)
Hence, the transformation used here is,
(x, y) → (-x , -y)
Answer:
(x, y) → (–x, –y)
Step-by-step explanation:
Coordinates of triangle ABC:
A (-1, -1)
B (1, -1)
C (0, -4)
If we apply the transformation (x, y) → (–x, –y) we will get:
A (-1, -1) → (1, 1) which correspond to point A'
B (1, -1) → (-1, 1) which correspond to point B'
C (0, -4) → (0, 4) which correspond to point C'
ASAP! A biologist is to set up an aquarium in his laboratory. He intends to buy 11 piranhas and 5 sharks. He has a budget of £200. If p represents one piranhas and s one shark, write down an equation for the price of one piranhas in terms of the price of sharks.
Answer:
p = (200 -5s)/11
Step-by-step explanation:
I think you meant p is the price of piranhas, and a is the price of one shark.
You have:
11p + 5s = 200
11p = 200 - 5s
p = (200-5s)/11
Does that help? ;)
blake buys paperback from the used bookstore for $5 each. Natalie purchased an annual membership to the same bookstore for $35
so she can buy paperbacks at a discounted price of $2.50 each. How many books would Natalie and Blake have to buy this year for their spending at the bookstore to be the same? What would their total cost be?
Answer: 2
Step-by-step explanation:
Answer:
I am not sure but i think 2
Which of the following fractions give a decimal answer whose non-zero digits repeat infinitely many times? Select all that apply.
A) 6/4
B) 4/11
C) 9/8
D) 5/7
E) 8/9
F) 7/8
Answer:
B and E repeat infinitely.
Step-by-step explanation:
A) 6/4 = 1.5 (ends)
B) 4/11 ≈ 0.36363636... (repeats 36 forever)
C) 9/8 = 1.125 (ends)
D) 5/7 ≈ 0.7143 (does not repeat)
E) 8/9 ≈ 0.88888888... (repeats 8 forever)
F) 7/8 = 0.875 (ends)
Choosing a number from 1 to 10 what is the probability of choosing a number less than 3?
About 2% chance.
There are ten numbers and you want to choose a number less than three. There are only two numbers less than three; 1 & 2. Because there are only 2 numbers less than three and 10 to choose from, it becomes a 2% chance.
Answer: 20%
Step-by-step explanation:
which numbers the additive inverse of -41/4
Answer:
The answer is 41/4.
Step-by-step explanation:
Given:
-41/4 to get the additive inverse.
Now, the additive inverse of any number is a number that, when added to the number the result is zero.
Here, 41/4 is the additive inverse.
Because when it is added to -41/4 the result is 0.
Therefore, the answer is 41/4.
Does anyone mind helping me with this? It seems simple enough.
The question is: Radical x-3 = radical x + 3 (the +3 is outside of the radical). We are solving for X in this question.
Answer:
x = 4
Step-by-step explanation:
It is given that [tex]\sqrt{(x - 3)} = \sqrt{x} + 3[/tex], and we have to solve the given equation for x.
Now, we have [tex]\sqrt{(x - 3)} = \sqrt{x} + 3[/tex]
Squaring both sides we get
[tex][\sqrt{(x - 3)}] ^{2} = [\sqrt{x} + 3]^{2}[/tex]
⇒ x - 3 = x + 6√x + 9 {Since we know the formula of (a + b)² = a² + 2ab + b²}
⇒ 6√x = - 12
⇒ √x = -2
Again squaring both sides we get
⇒x = 4 (Answer)
What is the surface area of a cone that has a radius of 8 feet and a slant height of 12 feet? (Use 3.14 for π.)
301.44 ft 2
502.4 ft 2
200.96 ft 2
803.84 ft 2
Answer:
[tex]SA=502.4\ ft^2[/tex]
Step-by-step explanation:
we know that
The surface area of a cone is equal to
[tex]SA=\pi r^{2}+\pi rl[/tex]
we have
[tex]r=8\ ft\\l=12\ ft\\\pi=3.14[/tex]
substitute the given values
[tex]SA=(3.14)(8^{2})+(3.14)(8)(12)[/tex]
[tex]SA=200.96+301.44=502.4\ ft^2[/tex]
24 x + 6 Y is greater than or equal to 200
Answer:
I'm pretty sure this is undefined. It's either it does or does not equal to 200..
Step-by-step explanation:
n/a
how do i find the slope
Answer:
slope = - 7
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 4 = - 7(x - 6) ← is in point- slope form
with slope m = - 7
How many total blocks will she travel if she goes to Amanda‘s house and then to Karen’s and finally back home
Answer:
19 blocks
Step-by-step explanation:
To amanda's house, it is 5 blocks (we count 1 to 6 = 5 units)
From amanda's to Karen's, is 6 units (we count from -1 to 5 = 6 units)
Now, to find Karen to own place, we have to use the Pythaogrean Theorem. It is applicable for right triangle (which is shown, Amanda's place is the right angle).
The two distance we found are the two legs of the triangle and the other side (what we need to find) is the hypotenuse (which is the side opposite of right angle). The theorem says:
Leg^2 + Another Leg^2 = Hypotenuse^2
We know the 2 legs' length, so we can solve for hypotenuse (Karen to Own place Distance). Shown below:
[tex]5^2 + 6 ^ 2 \\=25+36\\=61[/tex]
So, we have:
Hypotenuse^2 = 61
Hypotenuse = Sqrt(61) = 7.81
Rounded to nearest block, that is 8 blocks
So, total distance traveled is:
5 + 6 + 8 = 19 blocks
Part I: Describe the center and radius of the circle.
The center is at ___.
The radius is __ units.
Part II: Use the equation below to identify the value of each variable for the circle.
Standard Form Equation of a Circle(x - h)2 + (y - v)2 = r2
(h, v) = center
r = radius length
h =__ v =__r =__
Part III: Use Parts I and II to write the standard form equation of the circle.
Answer:
Center (2,4) , radius=3, h=2 v=4 & r=3
Step-by-step explanation:
Ok so in order to find the center of the circle, use the graph (like you can see that the x is 2,if you count down from 5 to the left. the y is 4,because it's below 5 in the y pole).So the center is (2,4)
Now, in order to find the length of the radius, you need to do the following:
Take the center point (2,4) and the point where the circle ends (2,1) . Because radius is a straight, you can substract the y values of the two points : 4-1=3
As you can see in the equation, the h symbolizes the x of the center point and the v symbolizes the y.The r is the radius that we already found(3)
So it's shouldn't be a problem now to find the equation of the circle,simply replace the values with their numbers:
(x-2)^2 + (y-4)^2 = 9
The center is at (2, 4). The radius is 3 units. The value of h, v, and r are 2, 4, and 3 respectively. The standard equation of the circle is (x - 2)² + (y - 4)² = 9.
How do find the required values?The required value can be found by counting the coordinates from the given graph.
The value of the center and the radius of the circle can be found below:A diagram is provided. We should observe the diagram, we can see that the center of the circle is at (2,4) on the graph.
We can also find that the radius of the circle is 3 units by counting the lines.
The center of the circle is denoted by (h, v) = (2, 4). The radius r is 3 units.
We have found the center and the radius. We can use this to make the standard equation of the circle.
The standard equation of a circle is given by:
(x - h)2 + (y - v)2 = r2
Now substitute the values h, v and, r:
(x - 2)² + (y - 4)² = 9
Therefore, we have found that the center is at (2, 4)and the radius is 3 units. The value of h, v, and r are 2, 4, and 3 respectively. The standard equation of the circle is (x - 2)² + (y - 4)² = 9.
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