Radius- 5
The radius is half, so if you want to find the radius, you have to see what if half of the diameter, which is 10. So 10 divided by 2 is 5 which is the radius. Easy.
a player purchased 4 jerseys for a total of $79.96. write an equation that can be used to find the cost of each jersey,n,in dollars
cost of each jersey is $19.99 .
Step-by-step explanation:
Here we have , a player purchased 4 jerseys for a total of $79.96. We need to write an equation that can be used to find the cost of each jersey,n,in dollars .Let's write it :
Assume that price of one jersey is $x , so price of 4 jersey's is 4($x) = $4x . But , according to question value of 4 jersey's is $79.96 i.e.
⇒ [tex]4x = 79.96[/tex]
⇒ [tex]\frac{4}{4}x = \frac{79.96}{4}[/tex]
⇒ [tex]x = 19.99[/tex]
Therefore , cost of each jersey is $19.99 .
Big Al’s Steak House and Trail’s End both claim to have the shortest wait times in town. To check out the claims, Ramon, a restaurant reviewer, records the time it takes to be seated without reservations. The results of wait times for 8 visits to each restaurant are shown in the table.
Big Al's Steak house wait times: 5 13 22 7 20 21 20 12
Trail's End wait times: 11 19 14 14 15 20 10 17
A)Describe the populations and samples for this problem.
B)Calculate the mean wait time for each of the two restaurants.
Answer:
a)For this case we are interested on two populations, one is the Big Al's Steak house wait times and the other represent the Trail's End wait times. And we don't know the information about the population but we have two samples of size n =8 described by:
Big Al's Steak house wait times: 5 13 22 7 20 21 20 12
Trail's End wait times: 11 19 14 14 15 20 10 17
b) [tex] \bar X_{BigAl. Hou}= 15[/tex]
[tex] \bar X_{Trial End Wait}= 15[/tex]
Step-by-step explanation:
Part a
For this case we are interested on two populations, one is the Big Al's Steak house wait times and the other represent the Trail's End wait times. And we don't know the information about the population but we have two samples of size n =8 described by:
Big Al's Steak house wait times: 5 13 22 7 20 21 20 12
Trail's End wait times: 11 19 14 14 15 20 10 17
Part b
For this case we can calculate the mean with the following formula:
[tex] \bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]
And replacing we got:
[tex] \bar X_{BigAl. Hou}= 15[/tex]
[tex] \bar X_{Trial End Wait}= 15[/tex]
I need help with finding x
ANSWER ASAP!!!!!!!!!!
The value of x is 36.
Solution:
Given angles of a triangle are 2x°, 2x° and x°.
To find the value of x:
Sum of the all the angles of a triangle = 180°
2x° + 2x° + x° = 180°
5x° = 180°
Divide by 5 on both sides of the equation.
x° = 36°
x = 36
The value of x is 36.
of the measure of one exterior angle of a regular polygon is 40 degrees, how many sides does the polygon have?
Answer:
9 sides
Step-by-step explanation:
Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.
Hey can someone please help 15 points
Answer:
See attachment (red rectangle)
Step-by-step explanation:
Since the upper left is at (-4,4) and upper-right is at (4,4)
The length of the rectangle is
[tex]l = |4 - - 4| = 8[/tex]
Since the perimeter is 20, we have:
[tex]20 = 2(8 + w)[/tex]
[tex]10 = 8 + w[/tex]
[tex]w = 2[/tex]
Therefore we need to draw a rectangle with dimension 8 by 2
Find the slope of (1,6) and (10,-9
Answer:
-5/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-9-6)/(10-1)
m=-15/9
simplify
m=-5/3
I'm a little confused about a math lesson about equations with variables on both sides. Could someone explain this to me.
Heres a random question: Solve for m 4m + 2(m + 1) = 9m + 5?
what is the positive square root of 100
Answer:
10.
Step-by-step explanation:
10 because 10 * 10 = 100.
There us also a negative square root -10.
Answer:
10
Step-by-step explanation:
Ed is a car salesman. he makes 1.5% commission on each car he sells. if he made $397.50 on the last car he sold,find the sales price of the car.
Answer:
$26,500.
Step-by-step explanation:
It is given that Ed is a car salesman. he makes 1.5% commission on each car he sells.
He made $397.50 on the last car he sold.
We need to find the sales price of the car.
Let x be the selling price of the car.
1.5% of x = $397.50
[tex]x\times \dfrac{1.5}{100}=397.50[/tex]
[tex]0.015x=397.50[/tex]
Divide both sides by 0.015.
[tex]x=\dfrac{397.50}{0.015}[/tex]
[tex]x=26,500[/tex]
Therefore, the sales price of the car is $26,500.
The sales price of the car is $26,500.
Explanation:To find the sales price of the car, we need to divide the commission amount by the commission rate.
First, let's convert the commission rate to a decimal. 1.5% is equal to 0.015.
Next, we'll use the formula: Sales Price = Commission Amount / Commission Rate.
So, the sales price of the car can be found by dividing $397.50 by 0.015, which equals $26,500.
The image of (6, 9) under a dilation is (4, 6).
The scale factor is
0-2
O 2/3
0 -2/3
The scale factor of the dilation is 2/3. This means that the image point is two-thirds the distance from the original point to the center of dilation.
To find the scale factor of the dilation, we can use the formula:
[tex]\[ \text{scale factor} = \frac{\text{image point}}{\text{original point}} \][/tex]
Given that the image of (6, 9) under the dilation is (4, 6), we can substitute these values into the formula:
[tex]\[ \text{scale factor} = \frac{(4, 6)}{(6, 9)} \]\[ \text{scale factor} = \left( \frac{4}{6}, \frac{6}{9} \right) \][/tex]
Simplifying the fractions:
[tex]\[ \text{scale factor} = \left( \frac{2}{3}, \frac{2}{3} \right) \][/tex]
B. The scale factor is 2/3
To determine the scale factor of the dilation, we need to compare the coordinates of the original point 6, 9 and its image 4 , 6
The formula for dilation of a point x, y by a scale factor k is:
[tex]\[(x', y') = (kx, ky)\][/tex]
Given:
- Original point 6 , 9
- Image point 4 , 6
We need to find the scale factor k such that:
[tex]\[4 = k * 6 \quad \text{and} \quad 6 = k * 9\][/tex]
Let's solve these equations.
1. 4 = 6k
[tex]\[k = \frac{4}{6} = \frac{2}{3}\][/tex]
2. 6 = 9k
[tex]\[k = \frac{6}{9} = \frac{2}{3}\][/tex]
Both equations give the same scale factor of 2/3.
Question
The image of (6, 9) under a dilation is (4, 6).
The scale factor is
A. -2
B 2/3
C -2/3
A large cheese pizza costs $7.50. Diego has $40 to spend on pizzas. How many large cheese pizzas can he afford? Explain or show your reasoning.
Answer:
5 pizzas
Step-by-step explanation:
He will have $2.50 left over after he buys the 5 pizzas. Hope this helps! Brainliest is appriciated.
Answer: 2.50
Step-by-step explanation:
A= {1,3,5,7,9} B={2,4,6,8,10} C={1,5,6,7,9} AUB=
Answer:
Step-by-step explanation:
What the heck is that more info please
30PTs PLZ HelpASAP
10)
The inequality x < 5.4 represents the possible values for x on a number line.
Which is a possible value for x?
A) −4.5
B) 5.8
C) 6.5
D) 7.2
I need help please help
Answer:
[6, 18]
Step-by-step explanation:
the first matrix has the dimensions 1 x 2 (1 row, 2 columns). The send has the dimensions 2 x 2. Because of this it is possible to do matrix multiplication and the result will be a 1 x 2 matrix.
Multiply the column -2, 7 by the row 4, 2:
We get (-2)(4) + (7)(2), which simplfies to 6. This is the first element of the 1 x 2 product.
Multiply the column 5, -1 by the row 4, 2: We get (5)(4) + (-1)(2), or 18.
The fourth answer choice is the correct one: [6, 18]
A window box in the shape of a rectangular prism is 7 inches long and 4 inches wide. It holds 168 cubic inches of dirt. What is its height?
Answer:
6 inches
Step-by-step explanation:
The formula for volume is length*width*height. Following this,
7*4*h=168
28h=168
h=6
Answer:
The height is 6 inches
Step-by-step explanation:
7 x 4= 28
28 x 6=168
express 3.14x10 to the power of -2 in ordinary form
Answer:
Step-by-step explanation:
[tex]3.14*10^{-2}=\frac{3.14}{10^{2}}\\\\=\frac{3.14}{100}=0.0314[/tex]
Good morning ☕️
Answer:
0.0314Step-by-step explanation:
3.14x10⁻²
since 10 is raised to a negative number (-2)
then we just need to move the decimal point in the number 3.14 two steps to the left ,like this :
3.14x10⁻² = 0.0314
by the way 3.14 = 003.14
__________________________________________________________
:)
In 2009, the United States had only had 44 presidents. Eight presidents were born in the state of Virginia. In simplest form, what fraction of presidents were born in Virginia?
Answer: 2/11
Step-by-step explanation:
8/44 in simplest form
Step 1: find a divisible number for the numerator and denominator
= 2/11
How do you graph y=4x-3
The graph of the line y=4x-3 is attached below.
What is a graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The function is given as y=4x-3
Here the point (0,-3) lies on the line because -3 is the y-intercept(b) in the equation y=mx+b.
Next, we would plot the next point 4 units up and to the right once because 4/1 is rise/run and equal to m in the equation.
Therefore, the graph of the line is attached below.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
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The ladder forms a right triangle with legs 5 feet and 12 feet. How long is the ladder?
The length of the ladder is 13 feet.
Step-by-step explanation:
The length of the ladder forms the hypotenuse of the right triangle.The two legs of the right triangle are 5 feet and 12 feet.From the Pythagorean Triplets (5,12,13) :
It can be determined that the longest side called hypotenuse is 13 feet.
Therefore, the length of the ladder = 13 feet.
Factor: 4b^3 - 12b^2 - 9b + 27
Answer:
(2b - 3)(2b + 3)(b - 3)
Step-by-step explanation:
4b³ - 9b - 12b² + 27
b(4b² - 9) - 3(4b² - 9)
(4b² - 9)(b - 3)
(2b - 3)(2b + 3)(b - 3)
Answer:
[tex](4b^{2}-9)(b-3)[/tex]
Step-by-step explanation:
In order to factor this expression you need to factor by grouping.
First focus on factoring the first two terms them factor the last two terms
1. Lets focus on the first 2 terms:
[tex]4b^{3} -12b^{2}[/tex] (You can factor out [tex]4b^{2}[/tex])
[tex]4b^{2} (b-3)[/tex] (this is what you're left with
2. Lets focus on the last 2 terms:
[tex]-9b+27[/tex] (You can factor our a -9)
[tex]-9(b-3)[/tex] (this is what you're left with
3. Now lets put both of the factored parts together:
[tex]4b^{2} (b-3)-9(b-3)[/tex] (Since both equations have the factor (b-3) in common that is one of our answers) (pull out that factor)
[tex](b-3)[/tex]
Now whatever is left create the second factor:
[tex](4b^{2} -9)[/tex]
So, [tex](4b^{2} -9)(b-3)[/tex] are the factors that make this expression.
You can double check that these are the right factors by using the FOIL method.
If you use the FOIL method it forms the original expression [tex]4b^{3} -12b^{2} -9b+27[/tex]
so we know for sure these are the right factors.
I will upload an image of how to use the FOIL method.
FOIL stand for Front, Outer, Inner, Last
(-5.6x + 1.3) = -1 - x.
Answer: X= 0.5
Step-by-step explanation:
(-5.6x+1.3)=-1-x
+5.6x +5,6x
1.3=-1+4.6x
+1 +1
2.3=4.6x
divide by 4.6 to get x by itself
2.3/4.6 = x
x=0.5
please mark brainliest!
Answer
x=1/2
Step-by-step explanation:
open the parenthesis to get -5.6x+1.3=-1-x
move the variable to the left and numbers to the right
-4.6x=-2.3
now solve by dividing 2.3 by -4.6
you get x=1/2
Daniel brought 2 notebooks and a pack of pens for $8. Jose bought 3 notebooks and a pack of pens for $11. What is the cost of a pack of pens?
Answer:
3-2 notebooks= 11$-8$=3 $
so 2 notebooks= 2*3=6 $
so a pack of pens is 8$-6$=2$
Step-by-step explanation:
The cost of a pack of pens is $2 and it can be determined by using a system of equations.
Given that,
Daniel brought 2 notebooks and a pack of pens for $8.
Jose bought 3 notebooks and a pack of pens for $11.
We have to determine,
What is the cost of a pack of pens?
According to the question,
Let, the cost of notebook be x,
And the cost of a pack of pens is y.
Daniel brought 2 notebooks and a pack of pens for $8.
2x + y = 8
Jose bought 3 notebooks and a pack of pens for $11.
3x + y = 11
On subtracting both the equation
2x + y - (3x + y ) = 8-11
2x + y -3x -y = -3
-x = -3
x = 3
Substitute the value of x in the equation 1,
2x + y = 8
2(3) + y = 8
6 + y = 8
y = 8-6
y = 2
Hence, The cost of the notebook is $3 and the cost of a pack of pens is $2.
To know more about System of Equation click the link given below.
https://brainly.com/question/16481292
Twice the number of a number 9 is 6
Answer:
number = 1/3
Step-by-step explanation:
let the required number = x
according to the given conditions
2 * x * 9 = 6
18x = 6
x = 6/18 = 1/3
3x − 4y = 12
2x + 6y = 18
Choose all of the equations that could be used when solving this system by substitution.
x = 9 − 3y
y = 18 − 3x
y = 3x + 3
x = 4
3
y + 4
Answer: x = 9 -3y
Step-by-step explanation:
Hi, to answer this question we have to solve the system by substitution:
a)3x − 4y = 12
b)2x + 6y = 18
If we isolate "y" on b)
2x + 6y = 18
2x = 18 -6y
x = 18/2 - 6/2y
x = 9 -3y is a possible equation
Doing the same thing with the other equation a) , and isolating "y" in both expressions, the only possible equation is the one founded above.
This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?
1
A} volume of Pyramid
volume of priam
B} volume of pyramid
volume of priuam
C} volume of pyramid
volume of priim
D} Volume of pyramid
volume of priem
The ratio of the volume of the pyramid to the volume of the prism is 1:1
Volume of pyramid and prism
The formula for calculating the volume of a pyramid is expressed as;
V = 1/3 BH
The formula for calculating the volume of prism is expressed as:
V = Bh
where
B is the base area
H is the height
If the height of pyramid is three times the height of the prism, the volume of pyramis will be:
V = 1/3B * 3h
Take the ratio of their volumes
Vp/Vr = 3Bh/3Bh
Vp/Vr = 1 : 1
Hence the ratio of the volume of the pyramid to the volume of the prism is 1:1
Learn more on volume of pyramid and prism here: https://brainly.com/question/1366127
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Think about the following sentence from the paragraph:
"Although a mouse is still a rodent and cookies are still delicious, these words have developed new meanings related to the information age."
Which statement best describes the purpose of this sentence?
A) The sentence introduces readers to the paragraph's main idea.
B) The sentence summarizes language changes caused by technology.
C) The sentence helps readers transition to a completely new idea.
D) The sentence warns readers about negative influences of technology.
Answer:
A) The sentence introduces readers to the paragraphs main idea.
Step-by-step explanation:
It does not talk about technology, it is not a new idea, and it is not saying anything negative.
Answer:
B
Step-by-step explanation:
I just got it right :)
Solve Two-thirds x minus one-fifth greater-than 1.
Answer:
9/5
Step-by-step explanation:
do the math got it correct
On solving the given expression, the solution is [tex]x \ > \frac{9}{5}[/tex] .
Thus, On solving the given expression, the solution is [tex]x \ > \frac{9}{5}[/tex] .
Learn more about Algebraic Expressions here:
https://brainly.com/question/4344214
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Evaluate the expression,
if x=12, y=8, and z=3
2xy – z
Answer: 189
Step-by-step explanation:
Substitute the value of x, y and z into the equation to give: 2 (12) (8) -3
Then apply BODMAS
2 (96) - 3
192-3= 189
Find g-1(x) when g(x)=3/5x-9
Answer:
[tex]g^{-1}[/tex](x) = [tex]\frac{5x+45}{3}[/tex]
Step-by-step explanation:
let y = g(x) and rearrange making x the subject
y = [tex]\frac{3}{5}[/tex] x - 9 ( add 9 to both sides )
y + 9 = [tex]\frac{3}{5}[/tex] x
Multiply both sides by 5 to clear the fraction
5y + 45 = 3x ( divide both sides by 3 )
[tex]\frac{5y+45}{3}[/tex] = x
Change y back into terms of x, thus
[tex]g^{-1}[/tex](x) = [tex]\frac{5x+45}{3}[/tex]
The inverse is g⁻¹(x) = (5/3)*(x + 9)
How to find the inverse?
for a function f(x), the inverse f⁻¹(x) is defined as:
if f(x) = y
f⁻¹(y) = x
For this case, we can write:
g(g⁻¹(x)) = x
(3/5)*g⁻¹(x) - 9 = x
(3/5)*g⁻¹(x) = x + 9
g⁻¹(x) = (5/3)*(x + 9)
Which statement is false and why
Answer: option 2
Step-by-step explanation:
From the pie chart, Christiana spends over 60% of her time on working and sleeping
Also, Christiana spends half of her time on sleep, chores and other activities .
Answer: 2 is false.
Step-by-step explanation:
Christina spends exactly a quarter of her time on chores and hobbies.