Answer:
100 m
Step-by-step explanation:
Given :
Area of square = 625 m²#1) Finding the side length
Area = (side length)²⇒ side length = √Area⇒ side length = √625⇒ side length = 25 m#2) Calculating perimeter
Perimeter = Total length of the sides of the shapePerimeter = 4 x side length [a square has 4 equal sides]⇒ Perimeter = 4 x 25⇒ Perimeter = 100 mAnswer:
100 m.
Step-by-step explanation:
So the area of a square (or any rectangle) is length (l) x width (w). Additionally, all sides of a square are the same length. So if your area is 625 m sq, then one side length would be the square root of 625, which is 25.
So, as we know that one side length is 25 m, and that the perimeter is all side lengths added together, and that a square has four equal sides,
we can add the four lengths of 25 together: (4)(25) [25+25+25+25].
(4)(25) = 100.
The perimeter of the square is 100 m.
Sumalee spent $183 on books. Math books cost $21 and english books cost $26. If she bought a total of 8, then how many of each kind did she buy?
2x - 3y = 1, x + 2y = -3 equivalent equation and solution
Answer:
x = -1, y = -1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}2x-3y=1\\ x+2y=-3\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=\frac{1+3y}{2}[/tex]
[tex]\begin{bmatrix}\frac{1+3y}{2}+2y=-3\end{bmatrix}[/tex]
Simplify
[tex]\begin{bmatrix}\frac{1+7y}{2}=-3\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=\frac{1+3y}{2}[/tex]
[tex]\mathrm{Substitute\:}y=-1[/tex]
[tex]x=\frac{1+3\left(-1\right)}{2}[/tex]
[tex]x=-1[/tex]
[tex]The\:solutions\:to\:the\:system\:of\:equations\:are[/tex]
[tex]x=-1,\:y=-1[/tex]
Check Answer:
2(-1)-3(-1) = 1
True
-1+2(-1)= -3
True
~Lenvy~
The formula P = I-E is used to calculate profit.
P = Profit
I= Income
E = Expenses
The school bake sale earned $72 in sales and had
$125 in expenses.
Find the profit.
b. What does a negative profit mean?
Hey there!
P = I - E
Income = $72Expenses= $125P = I - E {Add values}
P = 72 - 125
= -53
Negative profit means loss, which means there was no gain
Hopes this helps
Solve using area model. 53x95
53x95 = 5035!
hopes this helps! ^^
Answer:
5605
Step-by-step explanation:
Bo needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged him $63 for parts. The total was $551.75. What was the cost of labor, per hour?
A college student takes out a $ 7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet): a. if the bank charges 3.8% interest each year? b. if the bank charges 5.3% interest each year?
Answer:
Substitute P=7500, r=0.053 and t=1 in equation (1). Therefore, the balance of the loan be after one year is $7897.5
Which ordered pair is the solution of the system of a linear equation? (See image)
Answers:
(-4,-2)
(-4,2)
(-2,-4)
(2,4)
Check the picture below.
After measuring the heights of 7 people, they have an average height of 156cm. after
measuring the heights of 8 people they have an average height of 158cm. how tall is
the 8th person?
Answer:
8th Person = 172 cm tall
Step-by-step explanation:
( a + b + c + d + e + f + g )/7 = 156
a + b + c + d + e + f + g = 1092 total size
----------------------------------------------------------
now they measured 8 people (a + b... g) + h, but we know the total size of the other 7 = 1092
a + b + c + d + e + f + g + h
( 1092 + h )/8 = 158
1092 + h = 158*8
h = 1264 - 1092
h = 172
-----------------------------------
the 8th person is 172 cm tall
Evaluate each expression using the order of operations
A:-4(-4+3)+2²
B:-3-3-3(-3)
C:-17+2(-2)(-2)
D:-(+2(-3)(5)(3+2)(-6)
Answer:
[A} 8
[B] 3
[C] -9
[D] - 900
Step-by-step explanation:
A:-4(-4+3)+2²
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]-4\left(-1\right)+2^2[/tex]
[tex]-4\left(-1\right)+4[/tex]
[tex]4+4[/tex]
8
-------------------------------------------------------------------------------------------------------------
B:-3-3-3(-3)
[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]
[tex]-3-3-\left(-9\right)[/tex]
3
-------------------------------------------------------------------------------------------------------------
C:-17+2(-2)(-2)
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]-17-\left(-8\right)[/tex]
-9
-------------------------------------------------------------------------------------------------------------
D:-(+2(-3)(5)(3+2)(-6)
[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]
-900
-------------------------------------------------------------------------------------------------------------
[RevyBreeze]
How can you use tables, graphs, and equations to compare functions in everyday life?
Determine the solution to each linear system by using the substitution method
3x+y=8
6x+2y=10
Answer:
No solution.Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
3x+y=8 and 6x+2y=10
3x+y=8x=8-y/3
Solve.
Rewrite the problem down.
6*8-y/3+2y=10
Then, solve.
16=10
Therefore, the final answer is no solution.
I hope this helps you! Let me know if my answer is wrong or not.
what is the area of this figure?
Answer:
234 square millimeters
Step-by-step explanation:
You want the area of the irregular polygon shown.
CompositionThere are always several ways you can find the area of a figure like this. In the attachment we have shown extensions of the vertical and horizontal lines that will divide the figure into a triangle and two rectangles.
Triangle areaThe triangle has a base of 12 mm and a height of 13 mm. Its area is ...
A = 1/2bh
A = 1/2(12 mm)(13 mm) = 78 mm²
Rectangle areaThe upper rectangle has a width of 8 mm and a length of 14 mm. Its area is ...
A = LW
A = (14 mm)(8 mm) = 112 mm²
The lower rectangle has a width of 4 mm and a length of 11 mm. Its area is ...
A = (4 mm)(11 mm) = 44 mm²
Total areaThe area of the figure is the sum of the areas of its parts:
total area = triangle area + upper rectangle + lower rectangle
total area = 78 mm² + 112 mm² + 44 mm² = 234 mm²
The area of the figure is 234 square millimeters.
<95141404393>
What are the solutions to the system of equations graphed below?
The solutions to the system of the equations graphed below are where the graphs intersect:
In this case, the two graphs intersect at (0,6) and (-3, -3)
So the solutions are (0,6) and (-3,-3)
Hope that helps!
The solution to the system of the equations below is: (0,6) and (-3,-3)
The solutions are where the two graphs of the equations intersect
What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π
Area of a circle = pi x r^2
Area of the circle = 4^2 x pi = 16pi
3/4 of the circle is shaded
area of shaded portion = 3/4 x 16pi = 12pi
Answer 12 pi
Answer:
b
Step-by-step explanation:
4 of the nonshaded areas =a
help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Febuary 10th because on the left colom it showss the dates just look for the 10
HELP PLEASE
Find the area of the irregular figure.
5 in.
4 in
A = [ ? ]in.?
5 in.
9 in.
12 in.
4 in
5 in.
Answer:
Area of a rectangle
A = lw
(-2)-(3)+(+5)
por favor e pra hj,amanha vou ter aula cedo
Answer:
0
Step-by-step explanation:
-2-3+5
-5+5
0
(NEED HELP FAST 50PTS) Find the function with x-intercepts (-2, 0) and (4, 0), which also goes through the point (3, 10)
The points go from 0 to 6 or -6. Please help asap
Answer:
either one
Step-by-step explanation:
it is going through the origin, so it is going forever in each direction
Mal spends 7 hours in school each day. Her lunch period is 1 hour long, and she spends a
total of 1 hour switching rooms between classes. The rest of her day is spent in 6 classes that
are all the same length, How long is each class?
Answe asap please
Answer:
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
---
answer:
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
---
answer:
each class is 1.07 hours
Step-by-step explanation:
Hi I have been working on this for hours and I still can't figure out what 23x3 is I would really be thankful if you can help me.
Thanks!
The answer to your question is 69
What is the area of the quadrilateral
Answer:
Or you could also find the area of 2 triangles and one rectangle.
Area of a triangle = bh/2
1st triangle = 6 x 2 = 12
12 ÷2 = 6
2nd triangle = 6x2= 12 ÷ 2 = 6
Area of a rectangle
A=bh
b = 4
h= 6
6x4=24
Now add all the areas to find out the area of the shape, so
6+6+24 =
[tex]36 {ft}^{2} [/tex]
can I get help with this please
Answer:
10d or less
Step-by-step explanation:
Joanne would want $50 left, and she has $250. 20 - 50 is 200. 20 goes into 100 5 times.
20 goes into 200 10 times. You just add five. (20, 40, 60, 80, 100)
If she wants at least $50 left, she would have to limit how many Dvd's she buys to 10 or less.
bellamy is building a gate to put on a fence. the gates measurements are 7 feet by 7 feet a diagonal wooden brace is going to be attached to keep the gate rigid what is the length of wood bellany needs to cut for the brace leave your answer in simplified radical form
The length of the diagonal is the hypotenuse of the fence
The length of the wood is [tex]7\sqrt{ 2[/tex] yards
How to determine the length of the wood?The dimensions of the fence are:
7 ft by 7 ft
The length (L) of the diagonal is calculated using:
[tex]L = \sqrt{a^2 + b^2[/tex]
This gives
[tex]L = \sqrt{7^2 + 7^2[/tex]
Express as products
[tex]L = \sqrt{7^2 * 2[/tex]
Express as radical
[tex]L = 7\sqrt{ 2[/tex]
Hence, the length of the wood is [tex]7\sqrt{ 2[/tex] yards
Read more about diagonals at:
https://brainly.com/question/10187910
Kevin is planning a trip. His round-trip train ticket
costs 550 and the hotel costs $200 per night. If
he spends $850 on his train ticket and hotel, how
many nights did he stay?
Charles buys 60 packs of pens.
There are 14 pens in each pack.
Each pack costs £4.50.
Charles sells each pen for 70p but he only manages to sell
2
3
of the pens.
How much profit did he make?
Answer:
£122
Step-by-step explanation:
Total no. of pens :- 60× 14= 840
Cost of all pens :- £270
Total no. of pens sold :- 560
Cost of those pens :- £392
Profit = £122Charles made a profit of £122, By selling (2/3)rd of his pens.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Charles buys 60 packs of pens and there are 14 pens in each pack.
If each pack costs £4.50.
So, The Total cost is,
= £(60×4.50).
= £270.
The total number of pens is,
= (14×60).
= 840, And he manages to sell (2/3) of it which is,
= (2/3)×840.
= 560.
Now, The total money made by him is,
= 540×0.7.
= £392.
Therefore, The profit he made is £(392 - 270) = £122.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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Complete the square to write the equation, 4x2 24x – y 43 = 0, in standard form. y = (x )2
An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,
[tex]4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2[/tex]
Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².
Learn more about Equation:
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A circular concrete patio has a circumference of about 53 yards. The patio has a diameter of d yards. Which expression best represents the value of ?.
Applying the expression for the circumference of circle, we found the diameter as 16.86 yards
Mensuration of Flat shapeGiven Data
Circumference = 53 yardsDiameter = d yardsLet us apply the expression for the circumference of a circle
Circumference = 2πr----------1
But r = d/2
hence put r = d/2 in the expression above
Circumference = 2πd/2----------2
Circumference = πd
Substitute our given data
53 = 3.142*d
Make d the subject of formula we have
d = 53/3.142
d = 16.86 yards
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Car #1 travels 288 miles in 4 hours. Car #2 travels 276 miles in 3
hours. What is the speed of car #2 in miles per hours
PLEASE HELP AURGENT
Answer:
Car 1: 72 mph
Car 2: 92 mph
Step-by-step explanation:
Car 1: 72 mph
288/4 = 72
72mph
Car 2: 92 mph
276/3
92 mph
Have an amazing day!!
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To build a snowman, Victor made three snowballs with diameters of
1
meter (m),
1
.
5
m,
and
2
m.
To the nearest cubic meter, what is the total volume of snow used in the snowman?
Considering the spherical snowballs, the total volume of snow used in the snowman is of 126 m³.
What is the volume of an sphere?The volume of an sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In this problem, there are three spheres, of radius r = 1 m, r = 5 m and r = 2 m, hence:
[tex]V_1 = \frac{4\pi}{3} = 4.19[/tex]
[tex]V_2 = \frac{4\pi \times 5^2}{3} = 104.72[/tex]
[tex]V_3 = \frac{4\pi \times 2^2}{3} = 16.76[/tex]
The total volume, in cubic meters, is of:
V = 4.19 + 104.72 + 16.76 = 125.67.
Rounding, the total volume of snow used in the snowman is of 126 m³.
More can be learned about the volume of an sphere at https://brainly.com/question/25608353