Answer:
314 mile²
Step-by-step explanation:
area = πr² = 3.14 x 10² = 314 mile²
(HELP, ME NOW! LOTS OF POINTS)A circular skating rink has a radius of 40 feet. Which expression can be used to find the circumference of the skating rink, in feet?
(A) 40/π
(B) 2 ⋅ 40 ⋅ π
(C) 40 ⋅ π
(D) π ⋅ 40^2
Answer:
B. 2 x 40 x pi
Step-by-step explanation:
the other answer lead me to the correct answer. I just chose this option on TTM and it was correct.
An expression that can be used to find the circumference of the skating rink, in feet is: (B) 2 ⋅ 40 ⋅ π
How to find the Circumference of a Circle?The formula to find the Circumference of a Circle is:
C = 2πr
Where:
C is Circumference
r is radius
We are given that the radius is: r = 40 ft
Thus the circumference is:
C = 2 * 40 * π
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What’s 5(2x - 11) simplified by distributive property?
Answer:
Simplified: 10x-55
Step-by-step explanation:
Distribute the five into the parenthesis..
(5)2x- (5)11
Then, multiply.
10x-55
10x-55 is the simplified version by the distributive property.
Answer:
10x - 55
Step-by-step explanation:
5(2x-11)
5*2x=10x
5*11
10x-55
My family saved $2500 for a trip to the beach. We plan to spend 3/5 of this amount on gas and our hotel room and 1/2 of the remainder on food. What do we plan to spend on food?
Answer:
$500
Step-by-step explanation:
We are given;
Amount saved for the trip is $2500Amount spent on the gas and hotel room is 3/5 of the saved moneyAmount on food is 1/2 of the remainderWe are supposed to determine the amount spent on food;
Therefore;
Amount on gas and hotel room = 3/5 × $2500
= $ 1500
Thus;
Remaining amount = $2500 - $1500
= $1000
But;
1/2 of the remainder was spent for the food
Thus;
Amount on food = 1/2 × $1000
= $500
Hence, the family spent $500 on food
rick jogged the same distance on tuesday snd friday, and 8 miles on sunday for a total of 20 miles for the week. solve to find the distance rick jogged on tuesday and friday
Ricky jogged 6 miles on tuesday and 6 miles on friday
Solution:
Given that,
Rick jogged the same distance on tuesday and friday
Let "x" be the distance jooged on each tuesday and friday
He also jogged for 8 miles on sunday
Total of 20 miles for the week
Therefore, we frame a equation as,
total distance jogged = miles jogged on tuesday + miles jogged on friday + miles jogged on sunday
20 = x + x + 8
20 = 2x + 8
2x = 20 - 8
2x = 12
x = 6
Thus Ricky jogged 6 miles on tuesday and 6 miles on friday
Final answer:
Rick jogged 6 miles each day on Tuesday and Friday. This was found by solving the equation 2x + 8 = 20, where 2x represents the total distance for Tuesday and Friday, and 8 miles is the distance for Sunday.
Explanation:
Rick jogged the same distance on Tuesday and Friday, and 8 miles on Sunday for a total of 20 miles for the week. Since Rick jogged the same distance on both Tuesday and Friday, we can let the distance he jogged on each of those days be represented by the variable x. The total distance jogged over these three days (Tuesday, Friday, and Sunday) can be represented by the equation 2x + 8 = 20.
To solve for x, first subtract 8 from both sides of the equation to isolate the variable:
2x + 8 - 8 = 20 - 8
2x = 12
Then, divide both sides by 2 to get the value of x:
2x / 2 = 12 / 2
x = 6
The distance Rick jogged on Tuesday and Friday was therefore 6 miles each day.
Find the exact value of the side of a square whose
area is 48 in².
Answer:
6.93 in
Step-by-step explanation:
[tex]A = s^{2}[/tex]
[tex]48 = s^{2}[/tex]
[tex]\sqrt{48} = \sqrt{s^{2} }[/tex]
[tex]s = 6.92820323028 in[/tex]
Answer:
Step-by-step explanation:
side = √48 = √4*4*3 = 4*√3 = 4 * 1.732 =6.928 in
A card is chosen at random from a standard deck of cards. What is the probability that it is a club or a face card?
what is a factor, I forgot cuz I'm dumb and in middle school
Answer:
A Factor can be explained as combination of the numerator and denominator by which the demo is decided by the numerator
Answer:
factor a number means to break it up into numbers that can be multiplied together to get the original number. EXAMPLES: 6 = 3 x 2 so, factors of 6 are 3 and 2 9 = 3 x 3 so, factors of 9 are 3 and 3 Sometimes, numbers can be factored into different combinations.
Step-by-step explanation:
what is 1/4 and 1/8 closest to 0, 1, 2, or 3
Answer:
0
Step-by-step explanation:
triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC
Answer:
DC = 4.5
Step-by-step explanation:
Since DC is on AC it is a segment bisector.
This divides AC exactly in half.
AC = 9 / 2 = 4.5
DC = 4.5
In △ABC, m∠A=35°, a=12, and b=14. Find c to the nearest tenth.
Answer:
c=45
Step-by-step explanation:
In triangle ABC, if a=12, b=10 and the measure of angle C=45 ..
Answer:
20.4
Step-by-step explanation:
I would like to buy a sandwich and pancakes, which would be $8.50, with a 6% tax and 20% gratuity, how much would that be all in all?
Answer:
9.01 maybe my math might be wrong
Step-by-step explanation:
Answer:
In total it would be $10.71
Step-by-step explanation:
Turn the percent into a decimal, 6% into 0.06. Then multiply that with 8.50.
8.50×0.06= 0.51
Now, turn 20% into a decimal and multiply that with 8.50.
8.50×0.20= 1.70
Then, add 0.51 and 1.70 to 8.50.
0.51+1.70+8.50= 10.71
use properties of operations to simplify 5s(3+s)-(2s+10)
Answer:
[tex]5s^2 +13s-10[/tex]
Step-by-step explanation:
Given the expression
[tex]5s(3+s)-(2s+10)[/tex]
First, use distributive property:
[tex]5s(3+s)=5s\cdot 3+5s\cdot s=15s+5s^2\\ \\-(2s+10)=(-1)\cdot (2s+10)=(-1)\cdot 2s+(-1)\cdot 10=-2s-10[/tex]
Now, the given expression is equivalent to the following expression:
[tex]15s+5s^2-2s-10[/tex]
Rewrite this expression using commutative property:
[tex]5s^2+15s-2s-10\\ \\=5s^2 +13s-10 \ [\text{Add the like terms}][/tex]
A bag contains green marbles and red marbles, 77 in total. The number of green
marbles is 1 less than 5 times the number of red marbles. How many green marbles
are there?
Final answer:
The answer is 64 green marbles.
Explanation:
To find out how many green marbles are there, we can set up an equation based on the given information. Let G represent the number of green marbles and R represent the number of red marbles. We know that the total number of marbles is 77, so we have the equation G + R = 77. We are also given that the number of green marbles is 1 less than 5 times the number of red marbles, which can be written as G = 5R - 1.
We can solve this system of equations by substituting the second equation into the first equation:
5R - 1 + R = 77
6R = 78
R = 13
Substituting the value of R back into the second equation, we can find the number of green marbles:
G = 5(13) - 1 = 64
Therefore, there are 64 green marbles in the bag.
Multiply. Write your answer as a fraction in simplest form. 5/4 x 3/10
Answer:
3/8
Step-by-step explanation:
The product of the fraction numbers 5/4 and 3/10 in the simplified form will be 3/8.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The fraction numbers are given below.
5/4 and 3/10
Then the product of the fraction numbers 5/4 and 3/10 is given as,
⇒ 5/4 x 3/10
⇒ 15 / 40
⇒ 3/8
The product of the fraction numbers 5/4 and 3/10 in the simplified form will be 3/8.
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Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (1,−3); + 2 = 4( - 1)+2=4(−1)
The given equation is y + 2 = 4(x - 1)
The equation of the parallel line in the slope-intercept form is y = 4x - 7
Step-by-step explanation:
Parallel lines have
Same slopesDifferent y-interceptsThe slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y + 2 = 4(x - 1)
- Change its form to slope-intercept form to find its slope
∵ y + 2 = 4(x) - 4(1)
∴ y + 2 = 4x - 4
- Subtract 2 from both sides
∴ y = 4x - 6
- Compare it with the slope-intercept form to find m
∵ the slope-intercept form is y = mx + b
∴ m = 4
∵ The parallel lines have same slopes
∴ The slope of the parallel line is 4
- Substitute it in the form of the equation
∴ The equation of the parallel line is y = 4x + b
- To find b substitute x and y in the equation by the
coordinates of a point on the line
∵ The parallel line passes through point (1 , -3)
∴ x = 1 and y = -3
∵ -3 = 4(1) + b
∴ -3 = 4 + b
- Subtract 4 from both sides
∴ -7 = b
∴ The equation of the parallel line is y = 4x + (-7)
∴ The equation of the parallel line is y = 4x - 7
The equation of the parallel line in the slope-intercept form is y = 4x - 7
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X divided by 2 multiplied by 4 equals 3
Answer:
(x/2)*4=3
= x*4/2=3
2x=3
x=1.5
Check:
4*(1.5)/2
=6/2
=3
Does the expression (4r+6)÷2 also represent the number of females on the team this year
The expression (4r+6)÷2 can be used to represent the number of females on a team if r is used to represent the number of female team members. Otherwise, it represents what the variable r represents.
Explanation:The expression (4r+6)÷2 represents an algebraic equation where r is a variable. If r is representing the number of female team members in a sport, then the value for r can be inserted into the equation to find the total. For instance if r=5, representing 5 female team members, the equation would then be (4*5+6) ÷2 = (20+6) ÷ 2 = 26 ÷ 2 = 13.
However, it's important to note that this equation does not inherently represent the number of females on a team. The value it represents is dependent on what the variable r is representing. If r represents something different, then the result would represent that different thing. Thus, the equation can only represent the number of females on a team if r is used to represent that.
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Need help plssssssss
Answer:
Step-by-step explanation:
Answer:
= 8a/b + 6b/a
look at the phot below for more details.
:)
3-2/a divided by 5+ 3/a
For this case we must simplify the following expression:
[tex]\frac {3- \frac {2} {a}} {5+ \frac {3} {a}}[/tex]
So, we have:
[tex]\frac {\frac {3a-2} {a}} {\frac {5a + 3} {a}} =[/tex]
We apply double C:
[tex]\frac {a (3a-2)} {a (5a + 3)} =[/tex]
We simplify:
[tex]\frac {3a-2} {5a + 3}[/tex]
Answer:
The simplified expression is:
[tex]\frac {3a-2} {5a + 3}[/tex]
factor this polynomial expression. 8x^2+2x-15
Answer:
2 3
4 5
(2x+3)(4x-5)
Step-by-step explanation:
Ur welcome
Give PQ=24,PS=19,PR=42,TQ=10 mPQR=106,mQRS=49 and PRS=35
Answer:
QR = 19
SR = 24
PT = 21
SQ = 20
m∠QRS = 74°
m∠PQS = 49°
m∠RPS = 39°
m∠PSQ = 57°
Step-by-step explanation:
Attached is the complete question:
By definition, a parallelogram is a quadrilateral, which means it has 4 sides where the opposite pairs are parallel to each other. These pair of sides are congruent.
With that we can assume the following:
PQ ≅ SR
PS ≅ QR
m∠PQR ≅ m∠ PSR
m∠QRS ≅ m∠ QPS
The given states that:
PQ ≅ SR
PS ≅ QR
then:
PQ = 24
PS = 19
So we know that:
QR = 19
SR = 24
When it comes to the angles, we have the following theorems:
Opposite angles (Opposite edges) are congruent
Consecutive angles are supplementary, or they sum up to 180°
We are given the following angles:
m∠PQR = 106°
m∠QSR = 49°
m∠PRS = 35°
Based on the theorems we know the following:
m∠PQR ≅ m∠PSR
m∠PQR + m∠QRS = 180°
Then:
m∠PQR + m∠QRS = 180°
106° + m∠QRS = 180°
m∠QRS = 180° - 106°
m∠QRS = 74°
In addition, m∠PSR = 106° and m∠QSR = 49° then when we add it to m∠PSQ it should be equal to m∠PSR
m∠QSR + m∠PSQ = m∠PSR
49° + m∠PSQ = 106°
m∠PSQ = 106° - 49°
m∠PSQ = 57°
Now notice that a parallelogram when you cut them in half, it makes two congruent triangles. All angles in a triangle sum up to 180° so we can assume that:
m∠PSR + m∠PRS + m∠RPS = 180°
So:
106° + 35° + m∠RPS = 180°
141° + m∠RPS = 180°
m∠RPS = 180° - 141°
m∠RPS = 39°
Following the same logic:
m∠QPS ≅ m∠QRS
m∠QPS = 74°
m∠QPS + m∠PSQ + m∠PQS = 180°
74° + 57° + m∠PQS = 180°
131° + m∠PQS = 180°
m∠PQS = 180° - 131°
m∠PQS = 49°
A,B, and C are collinear, and B is between A and C. The ratio of AB to BC is 1:1
Answer:
Therefore the coordinates of C is
C(4,9).
Step-by-step explanation:
Given:
Point A , B , and C are Collinear.
i.e A-B-C is a Straight Line
AB : BC = 1 : 1
i.e B is the Mid Point of AC.
And Point A , B and C lie on the Same Line
point A( x₁ , y₁) ≡ ( 0 ,-9)
point B( x , y) ≡ (2 , 0)
To Find:
point C( x₂ , y₂) ≡ ?
Solution:
B is the Mid Point of AC. Hence by Mid point Formula,
[tex]Mid\ point(AC)=(\dfrac{x_{1}+x_{2} }{2}, \dfrac{y_{1}+y_{2} }{2})[/tex]
Substituting the values we get
[tex]B(2,0)=(\dfrac{0+x_{2} }{2}, \dfrac{-9+y_{2} }{2})[/tex]
Substituting x and y value we get
[tex]2=\dfrac{0+x_{2} }{2}\\and\\0=\dfrac{-9+y_{2} }{2}[/tex]
[tex]x_{2}=4\\and\\y_{2}=9[/tex]
Therefore the coordinates of C is
C(4,9).
Find the value of two numbers if their sum is 12 and their difference is 4
x + y = 12
Equation 2: Difference:
x - y = 4
Solution:
x + y = 12
x - y = 4
-------------
Add the two equations together:
2x = 16
Divide both sides by 2:
x = 8
Solve for y:
Use equation 1 substituting for x:
x + y = 12
8 + y = 12
Subtract 8 from both sides:
y = 4
Answer:
one number is 8 and the other number is 4.
8 + 4 = 12
8 - 4 = 4
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An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The numbers are 8 and 4.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Let the two numbers be M and N.
Now,
The sum is 12 and their difference is 4.
This can be written as,
M + N = 12 _____(1)
M - N = 4 _______(2)
From (1) we get,
M = 12 - N ______(3)
Putting (3) in (2) we get,
M - N = 4
12 - N - N = 4
12 - 2N = 4
Add 2N on both sides.
12 = 4 + 2N
Subtract 4 on both sides.
12 - 4 = 2N
8 = 2N
Divide 2 on both sides.
N = 8/2
N = 4
Now,
Put N = 4 on (3).
M = 12 - 4
M = 8
We can cross-check.
M + N = 12
8 + 4 = 12
12 = 12
M - N = 4
8 - 4 = 4
4 = 4
Proved.
Thus,
The numbers are 8 and 4.
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i^42 how do I solve it ?
Answer: -1
Step-by-step explanation:
i^42
(i^2)^21 ( NOTE i^2 = -1 )
(-1)^21
-1 ( -1^odd number is -1 )
at Phil's work there are 12 part time workers and 18 full time workers what is the ratio of part time workers to total workers
Answer:
the ratio of part time workers to total workers are 12/30
Solve this system:
-6r+5s+2t=-11
-2r+s+4t=-9
4r-5s+5t=-4
Answer:
[tex]r=4\\ \\s=3\\ \\t=-1[/tex]
Step-by-step explanation:
Given the system of three linear equations:
[tex]\left\{\begin{array}{l}-6r+5s+2t=-11\\ \\-2r+s+4t=-9\\ \\4r-5s+5t=-4\end{array}\right.[/tex]
Cheange the positions of the first and the second equations:
[tex]\left\{\begin{array}{l}-2r+s+4t=-9\\ \\-6r+5s+2t=-11\\ \\4r-5s+5t=-4\end{array}\right.[/tex]
Multiply the first equation by -3 and add it to the second equation and then multiply the first equation by 2 and add it to the third equation:
[tex]\left\{\begin{array}{r}-2r+s+4t=-9\\ \\2s-10t=16\\ \\-3s+13t=-22\end{array}\right.[/tex]
Multiply the second equation by 3, the third equation by 2 and add them:
[tex]\left\{\begin{array}{r}-2r+s+4t=-9\\ \\2s-10t=16\\ \\-4t=4\end{array}\right.[/tex]
From the third equation,
[tex]t=-1[/tex]
Substitute it into the second equation:
[tex]2s-10\cdot (-1)=16\\ \\2s+10=16\\ \\2s=6\\ \\s=3[/tex]
Substitute [tex]t=-1[/tex] and [tex]s=3[/tex] into the first equation:
[tex]-2r+3+4\cdot (-1)=-9\\ \\-2r+3-4=-9\\ \\-2r-1=-9\\ \\-2r=-9+1\\ \\-2r=-8\\ \\2r=8\\ \\r=4[/tex]
Hence,
[tex]r=4\\ \\s=3\\ \\t=-1[/tex]
How many solutions does the following equation have?
-17(y-2)=-17y+64−17(y−2)=−17y+64
Answer:
It has 2 solutions
Step-by-step explanation:
Solution 1
-17(y - 2) = -17y + 64 - 17(y - 2)
Solution 2
-17y + 64 - 17(y - 2) = -17y + 64
-17(y - 2) = -17y + 64
-17y + 34 = -17y + 64
-17y + 17y = 64 - 34
0 = 30 (incorrect)
this system has NO SOLUTIONS
URGENT!!! 40 POINTS! pls help.. ive tried working it out myself but can't find the answer.
Solve the system of equations algebraically.
x+5y=-9
8x-10y=28
x + 5y = -9
8x - 10y = 28
Set y equal
-2y - 10y = 18
8x - 10y = 28
Subtract from one another
-10x = -10
Divide
x = 1
Plug x in one of the equations and solve
x + 5y = -9
1 + 5y = -9
5y = -10
y = -2
Answer
(1,-2)
Hope this helps! ;)
Answer:
x = 1, y = -2 → (1, -2)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}x+5y=-9\\8x-10y=28&\text{divide both sides by 2}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x+5y=-9\\4x-5y=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad5x=5\qquad\text{divide both sides by 5}\\.\qquad\boxed{x=1}\\\\\text{Put it to the first equation}\\\\1+5y=-9\qquad\text{subtract 1 from both sides}\\5y=-10\qquad\text{divide both sides by 5}\\\boxed{y=-2}[/tex]
Simplify completely X + 12x +35
3x + 15
somety company 05. ( pomen
11 point
+21
X + 5
+ 11
x +7
Answer:
X + 12x +35+3x + 15=16x+50
Step-by-step explanation:
323.6 divided by 47 rounded to the nearest tenth
6.9
323.6/4=6.885
Round to the nearest tenth=6.9