================================
Work Shown:
C = 44 is the circumference
in general, the circumference of a circle is
C = 2*pi*r
Plug in C = 44 and solve for r.
C = 2*pi*r
44 = 2*pi*r
2*pi*r = 44
r = 44/(2pi)
r = 7.0028175 which is approximate
--------------------
Now plug this into the formula for the area of a circle
A = pi*r^2
A = pi*(7.0028175)^2
A = 154.061985
A = 154 rounding to the nearest whole number
Answer:
B
Step-by-step explanation:
Circumference = 2πr
And circumference = 44 m
44 = 2πr
so, r = 44/2π
r = 22/π
Radius is 22/π
Area of circle = πr²
Area of circle = π × (22/π)²
Area of circle = π × 22²/π²
Area of circle = 22²/π
Area of circle = 484/π
Area of circle = 154.14m²
A theater rents there space for $300 per night. If the company charges $9 per ticket, then what is the least number of tickets that can be sold in order to make a profit?
Answer:
At least 33 number of tickets can be sold in order to make a profit.
Step-by-step explanation:
Given:
A theater rents there space for $300 per night.
The company charges $9 per ticket.
Now, to find the least number of tickets that can be sold in order to make a profit.
Amount of rent per night = $300.
Charges of per ticket = $9.
So, to get the least number of tickets sold to get the profit we divide amount of rent per night by charges per ticket:
[tex]300\div9[/tex]
[tex]=33.33[/tex]
Thus, 33 tickets price is 33 × 9 = $297.
Therefore, at least 33 tickets can be sold in order to make a profit.
Solve:
3 = -2v - V
V=
Answer:
V = −1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3=−2v−v
3=−2v+−v
3=(−2v+−v)(Combine Like Terms)
3=−3v
3=−3v
Step 2: Flip the equation.
−3v=3
Step 3: Divide both sides by -3.
−3v = 3
-3 -3
v=−1
Answer:
Subtract v from −2v.
Which equals −3v.
-3v = 3.
Step-by-step explanation:
v = -1.
-3 x -1 = 3.
3 = 3.
Therefore, v = -1.
There are 227 performers in the Children's Parade. The performers are arranged in rows with 8 performers in each row. How many rows are needed for all the performers?
Explain your answer
Answer:
29 rows because if you do the math and divide 227 by 8 you will get 28 and a remainder so you would have to add an extra row
Show work for answer please
Answer:
x = - 3
Step-by-step explanation:
Given
7 + x - 3 = x - 5 - 3x ( simplify both sides )
4 + x = - 2x - 5 ( add 2x to both sides )
4 + 3x = - 5 ( subtract 4 from both sides )
3x = - 9 ( divide both sides by 3 )
x = - 3
Which is the best buy?
a. $19.25 for 11 candy bars
b. $22.62 for 13 candy bars
c. $15.39 for 9 candy bars
d. $17.30 for 10 candy bars
Answer:
a=$1.75 per candy bar
b=$1.74 per candy bar
c=$1.71 per candy bar
d=$1.73 per candy bar
Option C is the better buy.
Hope this helps!
2. In the Practice Book, underline details that
ook, underline details that explain the main idea that it is possible to link
machine to mind. Describe how these details explam
Well, what is the story?
sure, what. you will have to do is to fomulate the links between the human brain and what a computer does, i prefer a mind map, then find the common procedures and use it in your answer
What is the value of x + 3/4 when x=1/8
Answer: 7/8
Step-by-step explanation: This is a substitution problem, from the expression x + ³/₄, where x = ¹/₈, we now replace or substitute for x and then solve the expression fractionally, the expression now becomes
¹/₈ + ³/₄
Now , find the l. c. m. of the denominator 8 and 4
1 + 6
= _____
8
= 7/8
NOTE: To get 1 and 6, you find out how many times 8 can go in the l. c. m. and later multiplied the number of times by the numerator which = 1.
And the number of times 4 can go in the l. c. m. (8) which is 2 times then multiplied by the numerator (3) = 6.
Adding 1 and 6 together gives 7/8.
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.
Answer:
Step-by-step explanation:
so he needs to collect at least 120 cans....and he already has 64
c + 64 > = 120 (thats a greater then or equal sign)
c > = 120 - 64
c > = 56....he needs to collect at least 56 more
To represent the number of cans that Xander must still collect to reach at least 120 cans, use the inequality c >= 120 - 64. The solution to the inequality is c >= 56.
Explanation:To represent the number of cans that Xander must still collect to reach at least 120 cans, we can use the inequality:
c >= 120 - 64
This inequality represents that Xander must collect a number of cans that is greater than or equal to the difference between the desired total (120) and the number of cans he has already collected (64).
The solution to the inequality is:
c >= 56
This means that Xander must still collect at least 56 more cans to reach his goal.
Simplfy the expression 3x+4(x-6)-3(x-7)
Answer:
the answer is 4x-3
Step-by-step explanation:
To simplify the expression 3x + 4(x - 6) - 3(x - 7), distribute the multiplication across the parentheses, combine like terms, and simplify to get the final result: 4x - 3.
To simplify the expression 3x + 4(x - 6) - 3(x - 7), follow these steps:
Distribute the 4 into the second parenthesis: 4 imes x - 4 imes 6 which gives 4x - 24.
Distribute the -3 into the third parenthesis: -3 imes x + (-3) imes (-7) which gives -3x + 21.
Combine like terms with the rest of the expression: 3x + (4x - 24) + (-3x + 21).
Add/subtract the x terms and constant terms: 3x + 4x - 3x (which simplifies to 4x) and -24 + 21 (which simplifies to -3).
The simplified form of the expression is 4x - 3.
15 is 13% of what number?
Answer: 1.95
Step-by-step explanation:
Multiply 15*13%
Answer:
Abswer is 1.95 thank you
Step-by-step explanation:
Write the answer in simplest form: 3/11 − 1/5 a. 3/55 b. 1/8 c. 4/55 d. 26/55
Answer:
C) 4/55
Step-by-step explanation:
3/11-1/5=15/55-11/55=4/55
The Gonzalez family has a combined monthly income of $1850. Their food budget is $ 380 per month. What percent of their monthly income is budgeted for food? (Round your answer to the nearest whole percent.)
Answer:
21 percent of their monthly income is budgeted for food.
Step-by-step explanation:
Given:
The Gonzalez family has a combined monthly income of $1850.
Their food budget is $380 per month.
Now, to find the percent of their monthly income is budgeted for food.
Total income = $1850.
Food budget = $380.
Now, to get the percent of the food budget:
[tex]\frac{380}{1850} \times 100[/tex]
[tex]=\frac{38000}{1850}[/tex]
[tex]=20.54\%.[/tex]
Thus, the percent nearest to whole = 21%.
Therefore, 21 percent of their monthly income is budgeted for food.
RSM PROBLEM NEED HELP!!! If you add 10 grams of sugar into 30 grams of 20 % sugar syrup, you will make ____ grams of ____% sugar syrup. Thx!!
Answer:
40 grams of 40% sugar syrup
Step-by-step explanation:
It is 40g because you are adding 10g of sugar to 30g of syrup
It is 40 % syrup because you start out with 20% sugar in 30 g. That means the 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.
Make equation to find percent
16/40=x/100
x=40
If you add 10 grams of sugar into 30 grams of 20 % sugar syrup, you will make 40 grams of 40% sugar syrup
What is Sugar Syrup?A combination of sugar and water that is cooked over a low to medium heat setting, stirring contents until the sugar is fully dissolved and the mixture is clear. The mixture is then boiled for approximately one minute.
How to solve?
It is 40g because you are adding 10g of sugar to 30g of syrup
It is 40 % syrup because you start out with 20% sugar in 30 g. That means 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.
Make an equation to find the percentage;
16/40=x/100
x=40.
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The product of two numbers is 20. If one of the numbers is 5/14, what is the other number
Answer:
56 is the other number
Step-by-step explanation:
let the first number be a
the other number is 5/14 from the question
a x 5/14 = 20
5a/14 = 20
5a = 14 x 20 = 280
a = 280/5 = 56
3q - 16q = 7 + 2(-89 – 3)
Answer:
q = 177/13
Step-by-step explanation:
3q - 16q = 7 + 2(-89 – 3)
-13q = 7 + 2(-92)
-13q = 7 - 184
-13q = -177
q = (-177)/(-13)
q = 177/13
PLEASE HELP
NEED THIS SOOOOON
Answer: -12
Step-by-step explanation:
i give up i might have to pull an allnighter
Answer:
Yes, they are congruent
Step-by-step explanation:
Yes, they are congruent because all the side and angle lengths are congruent.
Answer:
Yes
Step-by-step explanation:
what is y when 8=2y-10x
Answer:
Y = 9
Step-by-step explanation:
2Y (with Y having a value of 9) would be equal to 2 x 9 which would give you 18
then you take the 18 and subtract 10x
which would give you 8x with the x not being relevant in your case (maybe)
To find the value of y in the equation 8 = 2y - 10x, rearrange the equation to isolate y. Divide both sides of the equation by 2, and the value of y is 4 + 5x.
Explanation:To find the value of y, we need to isolate it on one side of the equation. First, let's rearrange the equation by moving the term with x to the other side:
8 + 10x = 2y
Next, let's divide both sides of the equation by 2 to solve for y:
(8 + 10x) / 2 = y
4 + 5x = y
So, the value of y is 4 + 5x.
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Jesse has 2 coupons, but can only use one of them. Coupon A is for $10 dollars off an item. Coupon B is for 25% off an item. The product he is buying costs $42. Which coupon is the better deal?
Answer:
coupon b offers $10.50 off whereas the other is only for $10 off
Step-by-step explanation:
25%*42=10.5
E=6c^2−2c−1
F=−4c^2+7c+5
E+F=
Answer:
10c2 + 5c + 4
Step-by-step explanation:
Final answer:
To find the sum E + F, combine like polynomial terms: the result is 2c^2 + 5c + 4.
Explanation:
To find E + F, we need to perform polynomial addition by combining like terms. We're given that E = 6c² - 2c - 1 and F = -4c² + 7c + 5. Adding the coefficients of the terms with the same powers of c, we get:
For c² terms: 6c² + (-4c²) = 2c²For c terms: -2c + 7c = 5cFor the constant terms: -1 + 5 = 4Combining these results, we get: E + F = 2c² + 5c + 4
This polynomial represents the sum of the given polynomials, consolidating like terms to simplify the expression and facilitate further analysis.
What is the value of
2x4 + 5x when x = 6?
The equation A(t) = 900(0.85)t represents the value of a motor scooter t years after it was purchased. Which statements are also true of this situation?
Answer:
When new, the scooter cost $900
Step-by-step explanation:
The complete question in the attached figure
we have
[tex]A(t)=900(0.85)^t[/tex]
This is a exponential function of the form
[tex]A(t)=a(b)^t[/tex]
where
A(t) ----> represent the value of a motor scooter
t ----> the number of years after it was purchased
a ---> represent the initial value or y-intercept
b is the base of the exponential function
r is the percent rate of change
b=(1+r)
In this problem we have
[tex]a=\$900\\b=0.85[/tex]
The base b is less than 1
That means ----> is a exponential decay function (is a decreasing function)
Find the percent rate of change
[tex]b=(1+r)\\0.85=1+r\\r=0.85-1\\r=-0.15[/tex]
Convert to percentage (multiply by 100)
[tex]r=-15\%[/tex] ---> negative means is a decreasing function
Verify each statements
case A) When new, the scooter cost $765.
The statement is false
Because the original value of the scooter was $900
case B) When new, the scooter cost $900
The statement is true (see the explanation)
case C) The scooter’s value is decreasing at a rate of 85% each year
The statement is false
Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)
case D) The scooter’s value is decreasing at a rate of 0.15% each year
The statement is false
Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)
Evaluate expression -16 squared and write the result in form a + bi
Answer: -12 b
Step-by-step explanation:i know this is the right answer bc i did the math
The triangles shown are similar. What is the value of x?
Incomplete Question the complete question with the figure is below
The triangles shown are similar.
What is the value of x?
A. 12
B. 15
C. 20
D. 13
Answer:
The correct option is B. 15
Therefore the value of x is
[tex]x=15\ unit[/tex]
Step-by-step explanation:
Given:
AB = 5
BC = 3
AC = 4
PQ = x
QR = 9
RP = 12
ΔABC ~ ΔPQR
To Find:
x = ?
Solution:
ΔABC ~ ΔPQR .................Given
If two triangles are similar then their sides are in proportion.
[tex]\dfrac{AB}{PQ} =\dfrac{BC}{QR}=\dfrac{AC}{PR} \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]
Substituting the values we get
[tex]\dfrac{5}{x} =\dfrac{3}{9}\\\\x=\dfrac{45}{3}=15\ unit[/tex]
Therefore the value of x is
[tex]x=15\ unit[/tex]
Average of -3,0,7,-2
Answer:
The average would be 0.5
Step-by-step explanation:
Answer: 0.5
Step-by-step explanation: To find the average, we begin by adding the numbers so we have -3 + 0 + 7 + -2 which is 2.
Now we divide 2 by the number of numbers in the data set which is 4.
2 divided by 4 is 0.5 so the average of these numbers is 0.5.
What percent is equivalent to StartFraction 1 Over 25 EndFraction? 4% 5% 20% 25%
Convert the fraction to a decimal:
1/25 = 0.04
Multiply by 100 to get the percent:
0.04 x 100 = 4%
The fraction of 1/25 is equivalent to the 4% option (A) 4 % is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have a fraction:
= 1/25
In decimal:
= 0.04
In percent:
= 0.04×100
= 4%
Thus, the fraction of 1/25 is equivalent to the 4% option (A) 4 % is correct.
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What’s is a,b and c and explain if you can please
Answer:
Are you VSCO??
Step-by-step explanation:
The greatest common factor is simply which factors of each number are shared between them. Factors are numbers that multiply together to get a certain number.
For example, a) 2x, 4
The factors of 2x are 2 and x
The factors of 4 are 2 and 2
The factors that are shared between them is 2, so the greatest common factor is 2 in this case.
For 2x^2, 4x it's easier to write it out:
The factors of 2x^2 are 2, x, x
The factors of 4x are 2, 2, x
Because they both have 2 and x, the greatest common factor is 2x in this case.
What is the slope of the the line that goes through (4,3) and (8,5)
Formula to find the slope:
m = y2-y1 / x2-x1
(4,3); (8,5)
m= 5-3 / 8-4
m = 2/4
m = 1/2
Therefore, the slope of the line that passes through these points is 1/2
find the rate of change between the points (5, -4) and (-10, -20)
Answer:
-20+4=-16
-10-5=-15
=16/15
Final answer:
The rate of change between the points (5, -4) and (-10, -20) is found by calculating the slope, which is 16/15 or approximately 1.07.
Explanation:
To find the rate of change between two points, you can calculate the slope of the line that passes through them. The formula for the slope (Δy/Δx) is the difference in the y-coordinates divided by the difference in the x-coordinates of the two points.
Using the points (5, -4) and (-10, -20), we can substitute these into the slope formula:
Calculate the change in y (Δy): -20 - (-4) = -16.
Calculate the change in x (Δx): -10 - 5 = -15.
Divide the change in y by the change in x to find the slope: -16 / -15.
The slope of the line is therefore 16/15 or approximately 1.07.
QUESTION 10.2 Two mechanics worked on a car. The first mechanic charged $ 95 per hour, and the second mechanic charged $ 75 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $ 1800 . How long did each mechanic work?
Mechanic A worked for 15 hours and mechanic B worked for 5 hours.
Step-by-step explanation:
Given,
Per hour charges of mechanic A = $95
Per hour charges of mechanic B = $75
Total hours worked = 20
Total amount charged = $1800
Let,
x represent the number of hours of mechanic A
y represent the number of hours of mechanic B
According to given statement;
x+y=20 Eqn 1
95x+75y=1800 Eqn 2
Multiplying Eqn 1 by 95
[tex]95(x+y=20)\\95x+95y=1900\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](95x+95y)-(95x+75y)=1900-1800\\95x+95y-95x-75y=100\\20y=100[/tex]
Dividing both sides by 20
[tex]\frac{20y}{20}=\frac{100}{20}\\y=5[/tex]
Putting y=5 in Eqn 1
[tex]x+5=20\\x=20-5\\x=15[/tex]
Mechanic A worked for 15 hours and mechanic B worked for 5 hours.
Keywords: linear equation, elimination method
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The first mechanic worked for 15 hours while the second mechanic worked for 5 hours.
Let's denote the number of hours worked by the first mechanic as x and the number of hours worked by the second mechanic as y.
We know two things:
The total hours worked by both mechanics is 20:⇒ x + y = 20
The total charges for both mechanics is $1800:⇒ 95x + 75y = 1800
Using the first equation, we can express y in terms of x:⇒ y = 20 - x
Substitute this value of y into the second equation:⇒ 95x + 75(20 - x) = 1800
Distribute and combine like terms:⇒ 95x + 1500 - 75x = 1800
⇒ 20x + 1500 = 1800
⇒ 20x = 300
⇒ x = 15
So the first mechanic worked for 15 hours. To find the second mechanic's hours, substitute x back into y = 20 - x:⇒ y = 20 - 15 = 5
Thus, the second mechanic worked for 5 hours.
Complete question:
Two mechanics worked on a car. The first mechanic charged $95 per hour, and the second mechanic charged $75 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1800. How long did each mechanic work?