Answer:
slope = 11.2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 11.2x ← is in slope- intercept form
with slope m = 11.2
A shopkeeper marks the price of an article 25% above the cost price. Then he allows a discount of 10% of the marked price. Find the profit percentage.
here is your answer hope you will understand it
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
x = 3sqrt(2)/2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
The two legs are equal, x
x^2 + x^2 = 3^2
2x^2 = 9
Divide each side by 2
x^2 = 9/2
Take the square root of each side
sqrt(x^2) = sqrt(9/2)
x = sqrt(9)/ sqrt(2)
x = 3 / sqrt(2)
x = 3 sqrt(2) / sqrt(2)*sqrt(2)
x = 3sqrt(2)/2
Answer:
Step-by-step explanation:
The Pythagorean triple for a 45-45-90 triangle, which this is BTW is, in terms of the pattern: (x, x, x√2) where each x is the length of a side across from a 45 degree angle and x√2 is the side length across from the 90 degree angle (this side is also known as the hypotenuse). If the hypotenuse is 3 units long, and the pattern for the hypotenuse is x√2, we can solve for x, the sides across from the 45 degree angles, by setting 3 equal to its pattern for the hypotenuse:
[tex]3=x\sqrt{2}[/tex] so
[tex]x=\frac{3}{\sqrt{2} }= \frac{3\sqrt{2} }{2}[/tex]
Which of the choices below could be a scientific problem?
a. Tomato plants require 8 hours of direct sunlight to thrive.
b. Plant a tomato seedling 6 inches deep a large pot.
C. If tomato plants receive 4 hours of direct sunlight, then they will thrive.
d. How much sunlight do tomato plants need to thrive?
Answer:
D. How much sunlight do tomato plants need to thrive?
Step-by-step explanation:
1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg
Answer:
i) around 41.7 kg
ii) 72 books
Step-by-step explanation:
i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.
ii) use the same way as above.
A kiddie pool holds 161 gallons of water. One hose can fill the pool in 3 hours while an-
other takes only 2 hours. How long will it take for the pool to be filled if both hoses are
used?
The first hose pumps out water at a rate of
(161 gal)/(3 h) = 161/3 gal/h
The second hose fills the pool at a rate of
(161 gal)/(2 h) = 161/2 gal/h
Working together, they can fill the pool at a rate of
(161/3 + 161/2) gal/h = 805/6 gal/h
so that it would take
(161 gal) / (805/6 gal/h) = 161×6/805 h = 6/5 h = 1.2 h = 1 h 12 min
to fill the pool.
Choose the composition of translations that maps the image ΔPQR onto ΔP′Q′R′.
Question 4 options:
(x,y) → (x + 6,y + 3)
(x,y) → (x – 6,y – 3)
(x,y) → (x + 6,y – 3)
(x,y) → (x – 6,y + 3)
Answer:
(x , y ) ---> (x + 6 , y - 3)
Step-by-step explanation:
(x , y ) ---> (x + 6 , y - 3)
P(-1 , 4) -----> P'(-1+6 , 4-3) = P'(5,1)
Comapre P and P' x-coordinate
-1 + a = 5
a = 5 +1 = 6
Q(-1, 2) ----->Q'(-1+6 , 2 -3)= Q'(5, -1)
R(3 , 1) ------> R'(3+6 , 1-3) = R'(9,-2)
if f(x) = 2x²+2x-1, g(x) = x²+5x+2 f(x)=g(x), find the value of x
Answer:
Possible Answers: –5. –21. 7. –1
Answer:
just put the values and simpilyfy it untill you get the value of X
hence, the value of X is either 3 or, -1
the scale of a map is 1cm to 12km what is the distance on land if the length from town A to town B on the map is 15cm
Answer:
180 km
Step-by-step explanation:
1 cm=12 km
15 cm=12×15=180 km
Mike has a total of 1371 coins in his piggy bank if the total value of his coins is $230.25 and make it only has dimes and quarters how many more times than quarters does Mike have
Answer:129
Step-by-step explanation:(621 x 0.25) + (750 x 0.10) = 230.25
750 - 621 = 129 more dimes than quarters
___________probabilities
are always the same given
the same total number of
trials.
A. Calculated
B. Experimental
C. Determined
D. Theoretical
Answer:
Determined
Step-by-step explanation:
Determined
John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.
A
4x5y7z3
B
4x6y10z
C
8x5y7z3
D
16x6y10z2
D [tex]\bold{16x^{6}y^{10}z²}[/tex]
Answer:
John needs to rewrite the expression [tex](4x^{3}y^{5}z)²[/tex]. Identify which of the following is the simplified form of the expression.
[tex](4x^{3}y^{5}z)²[/tex]
remenber that square is for all
and power is multiplied
[tex]4²x^{3*2}y^{5*2}*z²[/tex]
[tex]16x^{6}y^{10}z²[/tex]
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{Rule: (a^n)^m=a^{n\cdot m }} \\\\\\ (4x^3\cdot y^5\cdot z)^2=4^2\cdot x^{3\cdot 2}\cdot y^{5\cdot 2}\cdot z^2=16 \ x^6 \cdot y^{10} \cdot z^2 \\\\\\ Answer : \boxed{ D)16 \ x^6 \cdot y^{10} \cdot z^2 }[/tex]
The price of a litre of milk increased from $1.25 in 2004 to $1.35 in 2006. What is the average price increase per year?
Answer:
$0.05/year
Step-by-step explanation:
Number of years:
2006 - 2004 = 2
From 2004 to 2006 it's 2 years.
Difference in prices:
$1.35 - $1.25 = $0.10
Average change of price per year:
$0.10 / 2 years = $0.05/year
the train regularly travels 135 miles in 60 minutes.
What is the speed, in miles per minute, on this portion of the route?
Answer:
2.25 miles per minute
Step-by-step explanation:
Speed = Distance/Time
135/60
2.25 miles per minute
Answer from Gauthmath
Planes T and X are parallel. Plane T contains line a. Plane X contains line b. Planes T and X are parallel. Plane T contains line a and plane X contains line b. Which best explains the relationship between lines a and b? They are skew and will never intersect. They are parallel and will never intersect. They are perpendicular and will intersect. They will intersect at two points.
Answer:
The answer is "They are skew and will never intersect".
Step-by-step explanation:
Please find the graph file in the attachment.
In the given scenario, since the two lines are neither parallel nor intersect, these are skewed. Each line will be in a parallel plane, therefore prevents them from crossing each other. Parallel indicates traveling in the same direction, but not converging or diverging.
Answer:
A or ,They are skew and will never intersect.
Step-by-step explanation:
edge 2021
Pythagorean Theorem
The diagram shows square 1, 2, and constructed on the sides of right
triangle
3
1 2
Which statement about the squares must be true?
Option A
We can prove this by a example
Take a pythagorean triplet 3, 4, 5
Now 5 is the hypotenuse
Area 1 = 3^2
= 9
Area 2 = 4^2
=16
Area 3 = 5^2
=25
So 9 + 16 = 5
25 = 25
Therefore its option A
Answered by Gauthmath must click thanks and mark brainliest
The correct relation between these rectangle is (Area of 1) + (Area of 2) = (Area of 3)
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
From the general formula of the area of the square,
Area of 1 = (side of 1st)²
Area of 2 = (side of 2nd)²
Area of 3 = (side of 3rd)²
From the Pythagorean theorem in the given triangle,
(side of 2nd)²+(side of 1st)² = (side of 3rd)²
Thus,
(Area of 1) + (Area of 2) = (Area of 3)
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ7
CAN SOMEONE TELL ME WHT DID I DO WRONG ASAP THANK YOU!!!
The final step. You divided wrong.
8 = 400 / 120 = 10/3
Step-by-step explanation:
The final step. You divided wrong.
[tex] s = \frac{400}{120} = \frac{10}{3} [/tex]
which of the answers is correct
Answer:
Option C, sin Y = 38/63
Step-by-step explanation:
sin Y = Opposite/Hypotenuse
sin Y = 38/63
Answered by GAUTHMATH
Find the input (x) of the function y=5x-3 if the output (y) is 32
Answer:
x = 7
Step-by-step explanation:
Given
y = 5x - 3 ← equate 5x - 3 to 32
5x - 3 = 32 ( add 3 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7 ← input
Answer:
x=7
Step-by-step explanation:
y=5x-3
y = 32
32 = 5x- 3
Add 3 to each side
32+3 = 5x-3+3
35 = 5x
Divide by 5
35/5 = 5x/5
7 =x
91. Jack can read 45 pages of his book in one and a
half hours. At that rate, how long will it take him to
read the entire 300-page book?
Answer:
10 hours
Step-by-step explanation:
45 pages per 1 hour and 30 minutes, or 60 min +30 min =90 min
90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages
90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300
? minutes = 90*300/45 = 600 minutes
to read 300-page book will take 600 minutes = 10 hours
if a 27% is a sale profit , how much profit is in the sale of $4650?
pls explain if u can. thanks!!
Look at the expressions below.
2√8 x √20
Which of these is equivalent to this expression?
A. 2√28
B. 5
C. 8√10
D. 32√10
Answer:
8 sqrt(10)
Step-by-step explanation:
2 sqrt(8) * sqrt(20)
We know sqrt(a) * sqrt(b) = sqrt(ab)
2 sqrt(8) * sqrt(20)
2 sqrt(160)
2 sqrt(16*10)
2 sqrt(16) sqrt(10)
2 *4 sqrt(10)
8 sqrt(10)
Answer:
First, we can write 2√8 as 2 x √8. This will make the next calculations easier.
So the problem becomes 2 x √8 x √20.
We can group together √8 and √20, to get √160.
And we have: 2√160.
However, this can be simplified further, as 16x10 = 160, and so we obtain the final answer of 8√10.
C is correct.
- 6 x 8 - (4)² - (-72)
Answer:
[tex] - 6 \times 8 - {4}^{2} - ( - 72) \\ 48 - {4}^{2} - ( - 72) \\ 48 - 16 - ( - 72) \\ 48 - 16 + 72 \\ = 104[/tex]
What is the radius of a sphere with a surface area of 100πcm2?
Answer:
5cm
Step-by-step explanation:
A=4πr2 = 100πcm2
r = 5
Make a box-and-whisker plot for the data. What is the lower quartile value?
56 32 48 52 51 53 48 38 35 42 40 46 54 50
Simplify the following expression: 7(5 + 3) + 2ˆ4
72
Step-by-step explanation:7(5 + 3) + 2ˆ4
P ()
E ^
M *
D /
A +
S -
7(8) + 16
= 72
Hey there!
7(5 + 3) + 2^4
5 + 3 = 8
= 7(8) + 2^4
2^4
= 2 * 2 * 2 * 2
= 4 * 4
= 16
= 7(8) + 16
7(8) = 56
= 56 + 16
= 72
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.
Answer:
V = 267.9 in^3
Step-by-step explanation:
V = 4/3 * (pi) * r^3
V = 4/3 * 3.14 * 4^3
V = 4/3 * 3.14 * 64
V = 256/3 * 3.14
V = 803.84/3
2.59 is greater or less than 2.684
Answer:
Less than.
Step-by-step explanation:
2.59 is less than 2.684 by 0.094
2.59 < 2.684
~
Answer:
Less than
Step-by-step explanation:
2.59 is smaller than 2.684 because the first number (the tenth) is bigger than the other first number (2.59) so it should be bigger.
Tìm giá trị lớn nhất giá trị nhỏ nhất
Cos(x+π/3)+ cos(x-π/3)
Answer:
GTLN : 1 GTNN: -1
Step-by-step explanation:
Ta có:
[tex]y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\ = 2.cosx.cos\frac{\pi }{3} \\ = cosx[/tex]
mà [tex]-1\leq cosx \leq 1[/tex]
Nên Max [tex]y=1[/tex] , [tex]x[/tex] ∈ [tex]R[/tex]
Min [tex]y = -1[/tex], [tex]x[/tex] ∈ [tex]R[/tex]
Please explain on how to do this.
Answer:
2.8 * 1.4 = 3.92.
Hope this answer helps you. Thank you.
Answer:
hope it helps you.........
anyone know the mean median and mode for this?
with work show pls
Answer:
just apply d formular 4 each
lykfor the mean=£fx/£f...which x is the inches and f is the frequency...multiply both from 63 to 75 inches e.g 63×2=126, 65×1=65...then add the scores together.... then divide it by the summation of the frequency which is 2+1+4+3+1+2+2+2+1+3+2+2=23. note am applying this method based on the formular
for median=£f/2 since it's odd number add +1
=£f+1/2
=23+1/2
=24/2
=12 .the 12 would fall on 69 inches using the cumulative method
mode is 66 since it's the number with the highest frequency
