Complete question :
A man has a garden measuring 40m by 24m. He wants to divide it equally into the minimum number of square plots. what is the length of each square plot?
Answer:
8 m
Step-by-step explanation:
Given that :
Dimension of garden = 40m by 24m
Length of garden = 40m
Width of garden = 24m
To Obtain the length of each square plot if the garden is divided into minimum number of square plots ; we take the highest common factor of the dimension:
Length (40) = 1, 2, 4, 5, 8, 10, 20, 40
Width (24) = 1, 2, 3, 4, 6, 8, 12, 24
The highest common factor here is 8 ;
Thus, the length of each square plot is 8m
Find the volume of the potato chip container. Use 3.14 for 7. Round to the nearest tenth place,
LZ
Potato
Chips
20 cm
Ranch
7 cm
Step-by-step explanation:
[tex]v \: cylinder = \pi \times r {}^{2} \times h \\ 3.14 \times 3.5 {}^{2} \times 20 \\ 3.14 \times 12.25 \times 20 \\ = 769.3[/tex]
you should round to nearest tenth place...I dont know...hope it helps
Geoffrey used 7 out of his 20 tokens on one game at the arcade. What is this fraction written as a decimal?
Answer:
0.35
Step-by-step explanation:
[tex]\frac{7}{20}[/tex]
20 ) 7 ( 0.35
0
70
60
100
100
0
Answer:
7\20 as a decimal is
0.35
what is -8 * -10/-8(-10
-8*-10/-8*-10
= 80/80
=1
So, 1 is the correct answer. (:
Guys plz help me I need the answer fast.
Answer:
can you put the problem and the answer choices in the ch.at or something so i can answer, or just the problem
Step-by-step explanation:
One car averages 18 miles per gallon while another averages 32 miles per gallon. If both cars travel 14,400 miles per year, how many more gallons does the first car use?
A.288
B.350
C.450
D.512
E.800
Rent-A-Car rents compact cars for a fixed amount per day plus a fixed amount of each mile driven. Ben rented a car for 6 days, drove it 550 miles, and spent $337. Lisa rented the same car for 3 days, drove it 350 miles, and spent $185. What is the charge per day and per mile to rent that car?
Answer:
$36 per day plus $0.22 per mile
Step-by-step explanation:
For Ben,
Total miles driven = 550 miles
Number of days = 6 days
Total cost = $337
For Lisa
Total miles driven = 350 miles
Number of days = 3 days
Total cost = $185
Solving Simultaneously;
6d + 550m = 337
3d + 350 m = 185
Multiply equation 2 by 2 we have
6d + 550m = 337 ----1
6d + 700m = 370------2
So;
Subtracting equation 1 from equation 2
150m = 33
m = 33/150
m = $0.22
Substitute m=0.22 into equation 1
6d + 550(0.22) = 337
6d + 121 = 337
6d = 337 - 121
6d = 216
d = 216/6
d = $36
Hence the charge is $36 per day plus $0.22 per mile
MATH PLEASE HELP!
A square field has an area of 479² ft What is the approximate length of a side of the field? Give your answer to the nearest foot. Explain your response.
Answer:
≈ 22 ft
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( where s is the side length )
Given A = 479, then
s² = 479 ( take the square root of both sides )
s = [tex]\sqrt{479}[/tex] ≈ 22 ft ( to the nearest foot )
Answer:
A = 479 sq ft
479 = x²
square root of 479 = square root of x²
21.89 = x
rounded= 22 ft
What is the value of a+b+c explain your reasoning
Answer:
im not sure but maybe d
Step-by-step explanation:
Need help!! Please!! Offering 20 points!
Answer:i
Step-by-step explanation:
Sofia spent $157.25 to make facemasks. After selling 500 facemasks, her revenue was
estimated to be $364.43. Did Sofia make a profit or loss? How do you know? Explain.
Points will be given!!
Is the following fraction terminating or repeating? *
-3
__
7
Terminating
Repeating
Answer:
repeating -0.428571.....
if csc Ф = 4/3, what is the value of sin Ф
Answer:
sinθ = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Using the trigonometric identity
sin x = [tex]\frac{1}{cscx}[/tex] , then
sin
θ = [tex]\frac{1}{\frac{4}{3} }[/tex] = [tex]\frac{3}{4}[/tex]
Which of the tables represents a function? (5 points)
Table A
Inputs
Output
3
1
3
4
2
3
Table B
Input
Output
2
7
5
6
2
9
Table C
Input
Output
1
5
7
2
7
3
Table D
Input
Output
3
4
1
5
8
5
Group of answer choices
Table C
Table D
Table A
Table B
Answer:
It's table D
Step-by-step explanation:
I just took the test.
Answer:
The answer is table D!
Step-by-step explanation:
All tickets to a play have the same cost. A group bought 6 tickets and paid a total of $99. Write a multiplication equation that can be used to determine cost c in dollars for each ticket.
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.
The cost of each ticket is $16.5.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
6 miles in 2 hours
0ne hour will be 3 miles.
We have,
6 tickets = $99
Divide both sides by 6.
1 ticket = 99/6
1 ticket = $16.5
The multiplication equation to determine the cost C in dollars of each ticket:
$C = 99 x 1/6
Thus,
The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.
The cost of each ticket is $16.5.
Learn more about unit rates here:
https://brainly.com/question/28394073
#SPJ2
Annual Rainfall of Cities
How many intervals could represent an
annual rainfall of 30 in -36 in?
A) 2
B)4
C)3
D) 5
Annual Rainfall (in.)
OA
OB
Oc
Answer:
B: 4
Step-by-step explanation:
The graph shows that there is 4 units between the numbers 30-36.
Hope this helps!
Y = [ ? ]
PLEASE HELP
Answer:
120
Step-by-step explanation:
First, you want to find the third angle
to do that you 180-33+87=60
x=60
since x and y are on a straight line, to find y would be 180-x
180-60=120
y=120
What is the area of polygon PQRS?
Where are the answers?
Step-by-step explanation:
Choose all the factors of 12. (Check all that apply.)
1
5
8
7
6
3
12
11
4
2
10
9
plz help me
Answer:
1,2,3,4,6,12
Step-by-step explanation:
12•1= 12
2•6= 12
3•4= 12
Just need the explain your answer part. Can anyone help seventh grade math please DESPRATE
9514 1404 393
Answer:
140, 35, 260/35, 7.43, 8
Step-by-step explanation:
The last section is just a summary of the preceding sections, a short description of the problem and how you worked it.
She sells the jackets for 140% of $25, or $35. 260/35 = 7.43 She can only sell a whole number of jackets, so she needs to sell 8.
Which point (x,y) satisfies the given system of inequalities?
A. (3,-1)
B.(1,-6)
C. (-3,-1)
D. (-1,-6)
The answer is C: (-3,-1)
To test if points satisfy an equation, all you need to do is test the numbers in both of the equations it provides you
Here is proof the answer is C :
y > x - 2
(lets plug in point C)
-1 > -3 - 2
solve
-1 > -5 ?
Yes this statement is true- onto the next inequalitity!
y > 2x + 2
-1 > 2(-3) + 2
solve
-1 > -6 + 2
-1 > -4 ?
Yes, this inequality is true too!
Know we know answer c (-3,-1) is the right answer!
What is the solution to the system below?
3x + y = 11
y = x + 3
Answer:
x = 2
y = 5
Step-by-step explanation:
3x + y = 11 equation (1)
-x + y = 3 multiply this equation by -1
x - y = -3 equation (2)
by adding 2 equations
4x = 8
x = 2
by sub. in Equation (2)
2 - y = -3
y = 2+3
y = 5
A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long congruent sides are 2 centimeters longer than the two shorter congruent sides.
Let x = length of a short side
Let y = length of a long side
The system of equations can be used to represent the situation.
y = x + 2
2x + 3y = 36
What is the length of one of the shorter congruent sides?
Answer:
Length of one of the shorter congruent side is: 6 cm
Step-by-step explanation:
In order to find the length of congruent sides we have to solve the system of equations
Given systems of equation is:
y = x + 2
2x + 3y = 36
Putting y = x+2 in second equation
[tex]2x + 3(x+2) = 36\\2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x =6[/tex]
As we know that x represents the shorter side, the length of short side is: 6 cm
Hence,
Length of one of the shorter congruent side is: 6 cm
i have no idea what to do (dont mind the extra woork ik its wrong)
Answer:
A) Scale factor from A to B is 2
B) Length of left side is 3 and length of right side is 5.
Step-by-step explanation:
A) Length of the top side is 2.5 in A and is 5 in polygon B. 5/2.5 = 2, therefore scale factor is 2.
B) Because the scale factor is 2, each of the sides double while the angles stay the same. Therefore, the length of the side on the left is 3 and length of the side on the right is 5.
1.5 x 2 = 3
2.5 x 2 = 5
Part (a)
Divide the upper horizontal lengths of the two figures:
5/2.5 = 2
The scale factor is 2. This means figure B has side lengths twice as long compared to figure A.
Answer: Scale factor = 2=======================================================
Part (b)
The missing side length seems to be the diagonal side of figure B. I'm not sure what's going on with the vertical side 89.4 as that should be 3 instead (since 1.5*2 = 3).
The diagonal side is 5 units long since we double 2.5 to get 5.
Answers:
vertical side = 3
diagonal side = 5
how many solutions can be found by the equation 3y+5-2y=11?
What is the answer to r-5r-6s+8s-15
Answer:
-4r+2s-15
Step-by-step explanation:
collect like terms
r-5r= -4r
-6s+8s= 2s
therefore -4r+2s-15
tan2A - sin2A =sin2Atan2A
Step-by-step explanation:
[tex]\tan^2\alpha-\sin^2\alpha=\sin^2\alpha\tan^2\alpha\\\\LS=\left(\dfrac{\sin\alpha}{\cos\alpha}\right)^2-\sin^2\alpha=\dfrac{\sin^2\alpha}{\cos^2\alpha}-\dfrac{\sin^2\alpha\cos^2\alpha}{\cos^2\alpha}\\\\=\dfrac{\sin^2\alpha-\sin^2\alpha\cos^2\alpha}{\cos^2\alpha}=\dfrac{\sin^2\alpha(1-\cos^2\alpha)}{\cos^2\alpha}=\dfrac{\sin^2\alpha\sin^2\alpha}{\cos^2\alpha}\\\\=\sin^2\alpha\cdot\dfrac{\sin^2\alpha}{\cos^2\alpha}=\sin^2\alpha\left(\dfrac{\sin\alpha}{\cos\alpha}\right)^2=\sin^2\alpha\tan^2\alpha=RS[/tex]
Used:
[tex]\tan x=\dfrac{\sin x}{\cos x}\\\\\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\sin^2\alpha+\cos^2\alpha=1\to \sin^2\alpha=1-\cos^2\alpha\\\\\text{distributive property}\ a(b+c)=ab+ac[/tex]
What is ½ + ⅙ rewritten with a common denominator?
Answer:
4/6
Step-by-step explanation:
look for the LCM of the denominators then divide with each denominator and multiply the answer you have got with the numerator after add it you want change it to it's simplest form
pls help me figure this out!!! quick!!
Answer:
35 degrees
Step-by-step explanation:
I think that's a right angle? If so, right angles always are 90 degrees, and 90 - 55 = 35.
Somebody pls help me!!!
=====================================================
Explanation:
The similar red marks on the angles tell us those angles are congruent. So they are the same measure.
The sides opposite those congruent angles are the same length. This means AC = BC. This triangle is isosceles.
--------------
Solve for x
AC = BC
5x-8 = 2x+7 .... substitution
5x-8-2x = 7 ... subtract 2x from both sides
5x-2x = 7+8 ..... add 8 to both sides
3x = 15
x = 15/3 ... divide both sides by 3
x = 5
---------------
Use that x value to compute each side length
AB = 3x+11 = 3*5+11 = 15+11 = 26
BC = 2x+7 = 2*5+7 = 10+7 = 17
CA = 5x-8 = 5*5-8 = 25-8 = 17
Note how BC and CA are the same length (17 units). This helps confirm we have the right x value.
----------------
The last step is to add up all the side lengths to get the perimeter
perimeter of triangle = sum of all the sides
perimeter of triangle = side1 + side2 + side3
perimeter of triangle ABC = AB + BC + CA
perimeter of triangle ABC = 26 + 17 + 17
perimeter of triangle ABC = 60 units
Answer:
Step-by-step explanation:
Remark
The sides opposite the 2 base angles are equal. That gives you x. Then all you have to do is substitute in the 3 binomials.
Equation
5x - 8 = 2x + 7 Add 8 to both sides
Solution
5x - 8 + 8 = 2x + 7 + 8 Combine
5x = 2x + 15 Subtract 2x from both sides
5x-2x = 2x-2x + 15 Combine
3x = 15 Divide by 3
x = 5
Side length
5x - 8 = 5*5 - 8 = 25 - 8
5x - 8 = 17
3x + 11 = 3*5 + 11 = 15 + 11 = 26
Perimeter
17
17
26 Add
Perimeter = 60
Please help me ✨✨✨✨✨