Answer:
5 inches
Step-by-step explanation:
Area of the cake:
1 slice = 13 in²6 slices = 13 in² * 6 = 78 in²Area circle: πr²
Solve for r:
78 = πr²r² ≈ 24.84 r ≈ 5-Chetan K
Answer:
The cakes radius is 5 inches.
Explanation:
cake has a circular area. Therefore we will use, area of circle: πr²Here given the cake is cut in six equal size.The area of the slice will be [tex]\frac{1}{6}[/tex](πr²)Steps:
→ [tex]\frac{1}{6}[/tex]πr² = 13
→ πr² = 13(6)
→ πr² = 78
→ r² = [tex]\frac{78}{\pi }[/tex]
→ r = [tex]\sqrt{\frac{78}{\pi }}[/tex]
→ r = 4.982787485
→ r = 5
Therefore the cake has a radius of 5 inches. Do not misunderstand that we are taking slice radius, its the radius of the cake all along.
i’ll give brainliest!
Answer:
-6
Step-by-step explanation:
just keep the same slope and just pretend to move the line up 8 which would decrease the x value by 14 equaling -6
13.333...% as a fraction
Answer:
[tex]13 \frac{333}{1000}[/tex]
Step-by-step explanation:
The amount of numbers after the decimal point tell you the amount of zeros to put after the 1 in the denominator.
Just rewrite the whole number infront of the decimal point into the fraction
Answer:
[tex]\frac{2}{15}[/tex]
Step-by-step explanation:
[tex]13.333...\%=\frac{13.333...}{100}=\frac{10+3.333...}{100}=\frac{10}{100}+\frac{3.333...}{100}[/tex]
[tex]=\frac{1}{10}+\frac{\frac{10}{3}}{100}=\frac{1}{10}+\frac{1}{30}=\frac{4}{30}=\frac{2}{15}[/tex]
The value of q is:
A. 42.
B. 39.
C. 40.
Answer:
40
Step-by-step explanation:
Its pretty easy i did that on a test and got a 100
A new movie theater opens at the local mall. During the first month, the owner collected information
on how many customers they had throughout each day. The owner concluded that the number of
customers the theater has at any given moment can be represented by C(x) = -x2 + 11x where x
represents the number of hours that the movie theater has been open on a given day. The theater
opens at 12:00 PM.
At what time does the theater have no customers?
a.
11:00 PM
b. 5:30 PM
c. 2:00 PM
d. 8:30 PM
The time at which the theatre does not have any customers is; Choice A: 11:00 PM
Functions and variableFrom the task content;
The function which represents the number of customers the theater has at each point in time is;C(x) = -x² + 11xHence, when C(x) = 0, the theater has no customers.
0 = -x² +11xDivide through by x;
0 = -x +11x = 11.
Read more on functions and variables;
https://brainly.com/question/24253401
Despite booming new car sales with their cha-ching
sounds, the average age of vehicles on roads is not
going down. The bar graph shows the average price of
new cars in Country A and the average age of cars o
roads for two selected years. In 2014, the average price
of a new car was $37,600. For the period shown, new-
car prices increased by approximately $1250 per year.
If this trend continues, how many years after 2014 will
the price of a new car average $47,600? In which year
will this occur?
How many Years after 2014 will the average price of new cars average $47,00?
I provided a Picture for the graph! Thanks a ton!
Answer to the 1st question: 8 years
Answer to the 2nd question: The year 2022
=======================================================
Further explanation:
x = number of years after 2008
y = average price of a new car
The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.
The y intercept is b = 30100 as this is the price in 2008.
This leads us to go from y = mx+b to y = 1250x+30100
Plug in x = 0 and you should get y = 30100.
Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.
-----------------
Next, we plug in y = 47600 and solve for x.
y = 1250x+30100
47600 = 1250x+30100
47600-30100 = 1250x
17500 = 1250x
1250x = 17500
x = 17500/1250
x = 14
This means 14 years after the year 2008 is when the average new car price will be $47,600.
2008+14 = 2022
2022-2014 = 8
Therefore, 8 years after 2014 (aka the the year 2022) is when the new car average price will be $47,600.
Simplify the expression.
2.4 - 4.3n - 3n + 6
Answer:
-7.3n+8.4
Step-by-step explanation:
combine like terms
Hope this helps! Have a great day!!
Answer:
8.4 - 7.3n
Step-by-step explanation:
1. Rearrange
2.4 - 4.3n - 3n + 6 = 2.4 + 6 - 4.3n - 3n
2. Combine like terms
2.4 + 6 - 4.3n - 3n = 8.4 - 7.3n
The answer is 8.4 - 7.3n
Hope this helps :)
Have a great day!
y+2=-3(x-1)in slope intercept form
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a 3 or 5?
Answer:
3
Step-by-step explanation:
you should divide 52 by a number to get 3
3. Over the next two days, Job.net Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 2. On the second day, the agency will interview clients in groups of 4. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day?
Here is my answer. Good luck.
Area of a circle D=10
a.62.80
b.78.50
c.314
d.15.70
e.31.40
Homework Pls Help Me
Answer:
Just if you need help im a straight A student
Step-by-step explanation:
Find the circumference of the circle below:
15.7 cm
31.4 cm
100 cm
314 cm
help me
Answer:
31.4 cm
Step-by-step explanation:
[tex]C=2\pi r[/tex]
[tex]=2*\pi *5[/tex]
[tex]\neq 31.41593[/tex]
≈ 31.4
Are the following fractions equivalent? Explain.
15/60 = 3/4
Answer:
No
Step-by-step explanation:
is 15/60 = 3/4?
Find the lowest term of 15/60.
The LCD of 15 and 60 is 15 so......
15 ÷ 15
— —
60 ÷ 15
= 1/4 (the lowest term of 15/60)
Since 1/4 is not equal to 3/4
Then 15/60 is not equivalent to 3/4.
Hope it helps.
can I have help pls
a song has 540 beats. if the song is 3 minutes long, how many beats per minute does the song have? ( PLEASE AWNSER UNTIL 10 MINUTES AND I WILL DELETE)
Answer:
180
Step-by-step explanation:
Divide 540 by 3 to get 180 which is your answer!
Have a good day!
Please mark brainliest!
Solution:
Note that:
540 beats = 3 min.Simplify the equation to know how much beats in 1 minute.
540 beats = 3 min.=> 1 minute = 540/3 beats=> 1 minute = 180 beatsThe beats per minute in this song is 180 beats per minute.
Rewrite the quadratic function below in standard form. y = 3(x+9)(x+1)
Answer:
y = 3x² + 30x + 27
Step-by-step explanation:
Formula: Ax + By = C
y = 3 (x + 9) (x + 1)
y = 3x + 27x + 3x + 7
y = 3x² + 30x + 27
Brainliest if correct
Answer:
y = 3
Step-by-step explanation:
Since x = 4
4 + y = 7
Subtract 4 from both sides of the equation
y + 4-4 = 7 -4
Simplify
y =3
[RevyBreeze]
Which of the following is true about the line that passes through the points (-5, 8) and (1,8
Answer: there is a horizontal line on the bottom side to each point.
Step-by-step explanation: -5 x 8y, 1x 8y so from each position they are on the bottom. negative on the right, positive on the left (x axis)
Ahmad has $112 in his checking account and earns $75 per weeks
working part-time. Assume he has no expenses currently.
Calculate how much will Ahmad save in his account at the end of 4
weeks 2
Answer:
your is.... 2212
Step-by-step explanation:
7 days in a week, right?
7 * 4 = 28
75 x 28 + the additional 112
Help bell math math math
y = ax + b
The coefficient of x is the slope of the line in this form of the linear equations.
=====================================
The perpendicular line have negative and inverse slope which means the product of their slope must equals to - 1 .
Thus if we suppose that the line we want to find it's equation has a slope of m ; we have :
4 × m = - 1
Divide both sides by 4
4m ÷ 4 = - 1 ÷ 4
m = - 1/4
Thus we know the coefficient of x now :
y = - 1/4 x + b
======================================To find the value of b we need one of the point that the line passed through it which is the point ( 4 , - 11 ) .
All we have to is put the coordinates in the equation and find the value of b.
Let's gooo....
y = - 1/4 x + b
put the coordinates in the equation
- 11 = (- 1/4)×4 + b
- 11 = - 1 + b
Add both sides 1
- 11 + 1 = -1 + 1 + b
b = - 10
======================================
Thus :[tex]y = - \frac{1}{4} x + ( - 10) \\ [/tex]
[tex]y = - \frac{1}{4} x - 10 \\ [/tex]
Answer:
y = ax + b
Step-by-step explanation:
. A jeweler has 100 necklaces and bracelets to sell at a flea market. Bracelets are selling for $5.75 each, and necklaces are $8.50 each. If the jeweler makes $685.00 after selling all of the items, how many of each type of jewelry did the jeweler sell?
Answer:
there are total 60 bracelets and 40 necklaces.
Explanation:
let necklaces be x
let bracelets be y
make two equations from the given values:
x + y → 1005.75y + 8.50x → $685solving steps:
x + y → 100
x → 100 - y
using substitution method:
5.75y + 8.5x → 685
5.75y + 8.5(100 - y) → 685
5.75y - 8.5y + 850 → 685
-2.75y → 685 - 850
-2.75y → -165
y → 60
Find x:
x + y → 100
x → 100 - 60
x → 40
Answer:
60 bracelets
40 necklaces
Step-by-step explanation:
Let n = number of necklaces sold
Let b = number of bracelets sold
Given:
Total number of items sold = 100⇒ n + b = 100
Given:
Sale price of bracelet = $5.75Sale price of necklace = $8.50Total sales = $685⇒ 5.75b + 8.5n = 685
Rewrite n + b = 100 to make b the subject, substitute into 5.75b + 8.5n = 685 and solve for n:
⇒ b = 100 - n
⇒ 5.75(100 - n) + 8.5n = 685
⇒ 575 - 5.75n + 8.5n = 685
⇒ 575 + 2.75n = 685
⇒ 2.75n = 110
⇒ n = 40
Substitute found value for n into n + b = 100 and solve for b:
⇒ 40 + b = 100
⇒ b = 60
Equations of the form cosθ=k where -1 ≤ k ≤ 1 has/have ______________ solution(s).
A. two
B. infinitely many
C. one
D. none
The supplement of a 60∘ angle is an angle that measures how many degrees?
Answer:
120 Degrees
Step-by-step explanation:
Supplementary means angles that add up to 180 Degrees, so 180 - 60
14 students have volunteered for a committee. Eight of them are seniors and six of them are juniors. (a) How many ways are there to select a committee of 5 students
======================================================
Explanation:
We have five slots to fill, which I'll label A through E.
There are,
14 choices for slot A13 choices for slot B12 choices for slot C11 choices for slot D10 choices for slot EEach time we fill up a slot, we count down by 1.
This gives 14*13*12*11*10 = 240,240 different permutations. If order mattered, then this would be the answer.
However, order doesn't matter on a committee without rankings. Each member has the same rank as any other.
Within any group of 5 people, there are 5! = 5*4*3*2*1 = 120 ways to arrange them. This means we divide that 240,240 figure by 120 to find the number of combinations.
There are (240,240)/(120) = 2002 different combinations.
---------------------------------------
Here's how we could have done the problem using the nCr combination formula.
Plug in n = 14 and r = 5.
n C r = (n!)/(r!(n-r)!)
14 C 5 = (14!)/(5!*(14-5)!)
14 C 5 = (14!)/(5!*9!)
14 C 5 = (14*13*12*11*10*9!)/(5!*9!)
14 C 5 = (14*13*12*11*10)/(5!)
14 C 5 = (14*13*12*11*10)/(5*4*3*2*1)
14 C 5 = (240240)/(120)
14 C 5 = 2002
Which of the following numbers is the smallest
The smallest number from the folowing option is A . 0.0082.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
The given numbers are;
0.0082
1/3
0.048
0.36
1/9
thus, The smallest number from the folowing option is A . 0.0082.
Learn more about a number pattern:
brainly.com/question/14471389
#SPJ2
help needed brainliest will be given for attempt
What is an example of how public conduct, even outside of the office itself, can affect one’s job?
Answer:
What is an example of how public conduct, even outside of the office itself, can affect one’s job?
Step-by-step explanation:
What is the length of ONE side in a square if the perimeter is 4x + 25
Answer:
Hi, you already asked this question, the answer is 6...
Step-by-step explanation:
(2x-3)(3x+4) expand and simplify?
Answer:
6x2-x-12
Step-by-step explanation:
The given expression:
(
2
x
−
3
)
(
3
x
+
4
)
Simplify by using the FOIL method:
(
2
x
−
3
)
(
3
x
+
4
)
=
2
x
⋅
3
x
+
2
x
⋅
4
−
3
⋅
3
x
−
3
⋅
4
=
6
x
2
−
x
−
12
Therefore, the simplest form of the given expression is
6
x
2
−
x
−
12
.
Do this problem 3 2/3x-4/5(x-3 3/4)
The average size of a human cell is one-ten-thousandths (0.0001) of a meter. Write it in scientific notation. ( Follow this format without spaces: _.___x10^__ )
Answer:
The average size of a human cell is one-ten-thousandths (0.0001) of a meter. Write it in scientific notation. ( Follow this format without spaces: 1769 ma 20