The clock face in a famous clock tower has a radius of about 5 meters. What is the area of the clock face to the nearest square meter? Use 3.14 as an approximation for pie.
Answer:
78.5m
Step-by-step explanation:
Area of circle = [tex]\pi[/tex]r^2
Area of clock = 3.14 x 5^2 = 78.5m
These are fractions 4/5 x 3/8=?
Answer:
3/10
Step-by-step explanation:
4/5 * 3/8
We can rewrite the fractions as
4/8 * 3/5
4/8 simplifies to 1/2
1/2 * 3/5
Multiply the numerators
1*3 = 3
Multiply the denominators
2*5 = 10
Numerator over denominator
3/10
A store buys 9 blue hats for every 6 red hats a. What’s is the ratio of blue hats to red hats b. What is the ratio of the blue hats all hats c. If the store purchased 45 hats, how many hats were blue
The ratio of blue hats to red hats IS 3:2 , the ratio of the blue hats all hats is 3:5 and If the store purchased 45 hats, 27 hats were blue
The ratio of blue hats to red hats is 9:6, which can be simplified to 3:2
Therefore the ratio of blue hats to red hats is 3: 2
The total number of hats is the summation of blue hats and red hats = 9+6= 15
So, The ratio of blue hats to all hats is 9:15, which can be simplified to 3:5
Therefore the ratio of blue hats to red hats is 3: 5
If the store purchased 45 hats, and we need to find out the number of blue hats
We have to assume the number of blue hats be x
Then the ratio becomes x: 45::3:5
We can also write this as
X= 3a and 45= 5a
The value of a comes out to be 9
So the number of blue hats purchased in the lot is 3a= 3 9 = 27
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And amusement park cost $10 for adults and six dollars for children find the total cost for two adults and three children
If amusement park cost is $10 for adults and $6 for children, then the total cost for 2 adults and three children is $38
Given,
The cost for 1 adult = $10
The cost for 2 adults = 2×10= $20
The cost of children = $6
The cost of three children = 3×6 = $18
Then the total cost = 20+18= $38
Hence, If amusement park cost is $10 for adults and $6 for children, then the total cost for 2 adults and three children is $38
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What is the mapping for the reflection where ABC maps to A’B’C’ ?
A - (x,y) —> (x,-y)
B - (x,y) —> (x,y)
C - (x,y) —> (-x,y)
D - (x,y) —> (x, 1/2y)
Answer:
(x, y) --> (x, - y)
Step-by-step explanation:
.......
a region is bounded by semicircular arcs constructed on the side of a square whose sides measure $2/\pi$, as shown. what is the perimeter of this region?
According to the question, a region is bounded by semicircular arcs on the side of the squares. Therefore, the side of the square is the diameter of the circle.
And the side of the square is [tex]\frac{2}{\pi }[/tex].
Now, the radius of the semicircle is [tex]\frac{1}{2} \frac{2}{\pi } =\frac{1}{\pi }[/tex]
The length of the semicircular arc is equal to half the circumference of the corresponding circle.
Therefore, the length of the arc is [tex]\frac{1}{2} (2)(\pi)\frac{1}{\pi } =1[/tex]
Now, the desired parameters of the region made by these arcs is [tex](4)(1)=4[/tex]
What are semicircular arcs and circumference of the circle?
Semicircular arcs is another name for the semicircle. It divides the circle into two parts. And the endpoints on a circle defines the minor arc or major arc. Similarly, circumference is the perimeter of the circle.
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What is the common denominator for 5/6 and 2/7
Answer:The common denominator is 42.
Step-by-step explanation:mutiply 6 x 7
Answer:
This would be 42,
to find this, just find the lcm of 6 and 7, you can do this by writing a chart and circling the least common multiple they both share
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.) 2x x 7
Answer:
14x
Step-by-step explanation:
2x*7=
2*7=14x
if a1 = 10 and an = an - 1 + 1 then find the value of a4
The value of the fourth element of the series is 13.
How to determine the value of an element of the series by using recurrence formulas
In this problem we must use a recurrence formula and a initial value to derive the fourth element of the series. Recurrence formulas are expressions that calculate succesive elements of a series in terms of its previous elements.
Now we proceed to find the value of the fourth element of the series:
n = 2
a₂ = a₁ + 1
a₂ = 10 + 1
a₂ = 11
n = 3
a₃ = a₂ + 1
a₃ = 11 + 1
a₃ = 12
n = 4
a₄ = a₃ + 1
a₄ = 12 + 1
a₄ = 13
The value of the fourth element of the series is 13.
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Answer:
Step-by-step explanation:
The value of the fourth element of the series is 13.
How to determine the value of an element of the series by using recurrence formulas
In this problem we must use a recurrence formula and a initial value to derive the fourth element of the series. Recurrence formulas are expressions that calculate succesive elements of a series in terms of its previous elements.
Now we proceed to find the value of the fourth element of the series:
n = 2
a₂ = a₁ + 1
a₂ = 10 + 1
a₂ = 11
n = 3
a₃ = a₂ + 1
a₃ = 11 + 1
a₃ = 12
n = 4
a₄ = a₃ + 1
a₄ = 12 + 1
a₄ = 13
The value of the fourth element of the series is 13.
Clayton is buying school supplies for the start of grade 10. He notices that 12 pens as Staples costs
$6.25. Calculate the unit price of 1 pen.
2. Which expression is equivalent to 2(2x + 11)-(-5+ 3x)?:
a.
7x + 27
b. 7x + 17
C.
x + 27
d. 3(- 8 + 2x) - 5(- 8 + x) + 11
e. 2x - (- 7x + 3) + 44
If l is parallel to m, find the values of x and y in the diagram below
The values of x and y in the lines are x = 13 and y = 54
How to determine the values of x and yFrom the question, we have the following parameters that can be used in our computation:
The lines m and n are parallel lines
This means that the following angles are congruent by the corresponding angle theorem
7x - 31 + 5x - 8 + 63 = 180
4y + 27 - 180 = 63
Solving the equation 4y + 27 - 180 = 63
We have the following representation
4y + 27 - 180 = 63
Evaluate the like terms
4y = 216
Divide by 4
y = 54
Recall that
7x - 31 + 5x - 8 + 63 = 180
Evaluate the like terms
12x = 156
Divide by 12
x = 13
Hence, the values are x = 13 and y = 54
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What is the true answer of 8.50x+70=750??????????
Answer:
x = 80
Step-by-step explanation:
750 - 70 = 680
680 / 8.5 = x
need urgent help in math please!!
please help find answer, and explain how you got it! (solution) thank u!!
Answer: 24x² + 20x + 4
Step-by-step explanation:
Area of a rectangle can be found with A = L * W;
A = L * W
A = (8x + 4) * (3x + 1)
Now we can use the "FOIL" method, which is used to multiply binomials.
[F] First ➜ 8x * 3x = 24x²
[O] Outside ➜ 8x * 1 = 8x
[I] Inside ➜ 4 * 3x = 12x
[L] Last ➜ 4 * 1 = 4
Lastly, we add it all together for our final answer.
24x² + 8x + 12x + 4 = 24x² + 20x + 4
Answer:
24x^2+20x+4
Step-by-step explanation:
Area is length times width.
The length is (8x+4) and the width is (3x+1).
If we follow the formula for the area of a rectangle, then it would be
(8x+4)(3x+1).
Next, you would foil.
Take the first and multiply it by the second equation as follows
8x*3x+8x*1 which would give you
24x^2+8x
Then, you would take the second from the first equation and multiply it with the second equation as well.
4*3x+4*1 which would give you
12x+4
Combine all of it together
24x^2+8x+12x+4
Combine like terms
24x^2+20x+4
That's the area.
Hope this helps.
If B is between A and C, and AB = 4x + 1, BC = 2x – 7, and AC = 24. What is the value of length of BC?
*
a. 3 units
b. 17 units
c. 7 units
d. 21 units
Answer:
a. 3 units
Step-by-step explanation:
The length of BC can be found in 3 main steps, namely the formation of equations, solving for x and substitution.
Let's rewrite the given lengths:
AB= 4x +1 -----(1)
BC= 2x -7 -----(2)
AC= 24 -----(3)
Form an equation which relates the 3 lengths:
Given that B is between A and C,
AC= AB +BC -----(4)
Substituting equations (1) to (3) to equation (4):
24= 4x +1 +2x -7
Simplify:
24= 6x -6
Add 6 to both sides:
6x= 24 +6
6x= 30
Divide both sides by 6:
x= 5
Substitute x= 5 into (2):
BC
= 2x -7
= 2(5) -7
= 10 -7
= 3 units
Thus, option a is correct.
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Name a point that is coplanar
The missing points are listed below:
RPXWSQXPWhat points in a parallelepiped are coplanar?
The picture attached aside shows us a right-angled parallelepiped and the Euclidean geometry indicates that a plane is generated by three non-colinear points, that is, three points that cannot be contained by a line.
Therefore, coplanar points are points that can be contained by one and same plane. Parallelepipeds are solids with eight vertices and twelve sides, each of them corresponding to a plane.
In this problem we must determine what fourth point is contained by the same plane that comprises the other three. Now we show the corresponding answers:
Q, P, S → RW, Z, S → PW, Z, Y → XQ, X, P → WY, Z, R → SR, Y, X → QQ, R, Y → XW, X, Q → PTo learn more on coplanar points: https://brainly.com/question/1593959
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If m ∠ F L G = 14 x + 5 ° and m ∠ H L G = 17 x − 1 ° , find m ∠ F L H .
The value of ∠ F L H is 3x-6°
∠FLG and ∠FLH are adjacent angles with L being the common vertex and both the angles form the ∠HLG
As ∠FLG is given as 14x + 5° and ∠ H L G is given as 17 x − 1 °
We need to find the value of ∠ F L H
We can write that ∠FLG +∠FLH = ∠ H L G
by putting the values given
14 x + 5 ° + ∠ F L H = 17 x − 1 °
∠ F L H = 17x-1 - (14x + 50
Here we got a linear equation in one variable and by solving the equation we will get the value of ∠ F L H
∠ F L H = 17x - 1 - 14x -5
∠ F L H = 3x-6
Hence, the value of ∠ F L H is 3x-6°
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Your checking account is the negative by $50. you write a check for $20. what is the balance in your account
Jessie surveyed some dentists and found that 42 out of 60 favored toothpaste with
fluoride. Can 42 out of 60 can be represented as a terminating or non-terminating
decimal?
Answer:non terminating
Step-by-step explanation:
Serenity buys milk and potatoes at the store.
She pays a total of $31.69.
She pays a total of $4.09 for the milk.
• She buys 4 bags of potatoes that each cost the same amount.
.
●
Write and solve an equation which can be used to determine x, how much
of potatoes costs.
The equation that can be used to determine the cost of a bag of potatoes is $31.69 - $4.09 = 4x
The cost of a bag of potatoes is $6.90
Solving an EquationFrom the question, we are to write and solve an equation that could be used to determine x, the cost of a bag of potatoes
From the given information,
Serenity buys milk and potatoes at the store and she pays a total of $31.69
and
She pays a total of $4.09 for the milk
Thus,
The amount she pays for potatoes is $31.69 - $4.09
Also, from the information,
"She buys 4 bags of potatoes that each cost the same amount"
If x represent the cost of a bag of potatoes, then we can write that
$31.69 - $4.09 = 4x
This is the equation that can be used to determine the cost of a bag of potatoes
Now,
Solve the equation for x
$31.69 - $4.09 = 4x
$27.60 = 4x
x = $27.60/4
x = $6.90
Hence, the cost of a bag of potatoes is $6.90
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The canadian $1 coin has a diameter of 26.5 mm. what is the circumference of the coin? use 3.14 for π.
The circumference of the Canadian $1 coin is 83.21 mm
For given question,
We have been given the Canadian $1 coin has a diameter of 26.5 mm.
We need to find the circumference of the coin.
We know that circumference of a circle of radius r is,
c = 2πr
The Canadian $1 coin has a diameter of 26.5 mm.
So, the radius of the coin would be,
r = 26.5 /2
r = 13.25
Using the formula of circumference, the circumference of the coin would be,
⇒ c = 2πr
⇒ c = 2 × π × r
⇒ c = 2 × 3.14 × 13.25
⇒ c = 83.21 mm
Therefore, the circumference of the Canadian $1 coin is 83.21 mm
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What is two hundred sixty-five thousandths in standard form?
0.265
2.65
260.005
265
RANDOM ANSWERS WILL BE REPORTED AND DELETED!
Answer: 265.000
Step-by-step explanation:
What is the equation of the line that passes through the point (-1,-1) and has a slope of -4?
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ - 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- 4}(x-\stackrel{x_1}{(-1)}) \implies y +1= -4 (x +1) \\\\\\ y+1=-4x-4\implies {\LARGE \begin{array}{llll} y=-4x-5 \end{array}}[/tex]
Lesson 8 Practice Problems
1. A number line can represent positions that are north and south of a truck stop on a
highway. Decide whether you want positive positions to be north or south of the
truck stop. Then plot the following positions on a number line.
a. The truck stop
b. 5 miles north of the truck stop
c. 3.5 miles south of the truck stop
The graph can be viewed at the conclusion of the response. We want to graph a number line and certain points on it.
Let A denote the truck stop and then it is 0 miles away from the truck stop.
Let us take the north side of the truck stop as the negative side.
Then the south side of the truck stop is the positive side.
We are asked to represent the following positions on the number line:
a. The truck stop
b. 5 miles to the north of the truck stop
c. 3.5 miles to the south of the truck stop
Point A refers to the truck stop.
Let B denote the point 5 miles away from A towards the north side of the truck stop.
And let C denote the point 3.5 miles away from A towards the south side of the truck stop.
Refer to the attached image for the required number line.
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factor quadratic of 3x² - 23x +30
Answer:
(3x - 5)(x - 6).
Step-by-step explanation:
In order to factor this quadratic, we can use the method of grouping. First, we need to find two numbers that add up to 23 and multiply to 90. The two numbers 18 and 5 satisfy both of these conditions,
since 18 + 5= 23 and 18*5
We can then factor the quadratic as follows:
[tex]\sf 3x^2 - 23x +30[/tex]
we can write it as:
[tex] \sf 3x^2 -(18+5)x + 30 [/tex]
Opening bracket
[tex] \sf 3x^2 - 18x -5x +30 [/tex]
Taking common from each two terms
[tex] \sf 3x(x-6) -5(x-6) [/tex]
Taking common and keeping remaining in bracket
[tex] \sf (x-6)(3x-5) [/tex]
Therefore, the quadratic of [tex] \sf 3x^2 - 23x +30 [/tex] can be factored as (3x - 5)(x - 6).
Write 0.0000000642 in scientific notation.
Answer:
How to write 0.0000000642 in scientific notation? The number 0.0000000642 in scientific notation is written as 6.42 × 10 -8. Scientific notation is a way of expressing numbers that are too large or too small, written in the form of a power of 10.
I hope this helped! Contact me for more information!
Answer: 6.42*10^(-8)
Step-by-step explanation:
0.0000000642=
0.642/10000000=
6.42/(10*10000000)=
6.42/100000000=
6.42/(10^8)=
6.42*10^(8*(-1))=6.42*10^(-8)
simplify the expression
Answer:
8x - 4y
Step-by-step explanation:
First: solve the parentheses
8x - 7y - (3-6y)
Second: combine like terms (terms that both have y or x, or other variable)
8x - 7y - (-3y)
Third: there are no more like terms, so you are left with this as your answer
8x - 4y
Apen cost 20php each, if you buy more than 10pens you will be given 50percent discount on the next pens you're about to buy. make a procedure that defines the cost of the pen
Cost of pen = 20x when x< 10
and
=10x when x>10
Let the number of pens bought be x.
So the total pen cost is 20x when the number of the pen is less than 10.
Now let's take that the number of pens bought is more than 10
So the pen will cost a 50% discount
50% of 20x
= 20/100 × 20x
= 10x
So the cost of the pen will be 10x when the number of the pen is greater than 10.
From this, we get to know that
Cost of pen = 20x when x<10
and
= 10x when x>10
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The image point of A after translation right 4 units and 3 units up is the point B (-1,8)
Based on the vertices of point B, the image point of point A before the translation is (-5, 5)
What is the original image point?To find the original image point, you need to move in reverse from the point that was created by the translation.
In order to find point A, from point B you should move left 4 units and down 3 units.
This means that the x-axis point would be:
= -1 - 4
= -5
The y-axis point:
= 8 - 3
= 5
The image point of A is (-5, 5)
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eric is randomly drawing cards from a deck of 52. he first draws a red card, places it back in the deck, shuffles the deck, and then draws another card. what is the probability of drawing a red card, placing it back in the deck, and drawing another red card? answer choices are in the form of a percentage, rounded to the nearest whole number.
The probability of drawing a red card, placing it back in the deck, and drawing another red card is 1/4.
According to the given question.
Total number of cards in a deck is 52.
As we know that total number of red cards in a well shuffled deck is 26.
Since, Eric first draws a red card, places it back in the deck, shuffles the deck, and then draws another card. Which means there is a replacement of cards.
So, the probability of drawing the first card is red = 26/52 = 1/2
And the probability of drawing the another card is red = 26/52 = 1/2
Therefore,
The probability of drawing a red card, placing it back in the deck, and drawing another red card
= 1/2 × 1/2
= 1/4
Hence, the probability of drawing a red card, placing it back in the deck, and drawing another red card is 1/4.
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