Given:
The equations of lines are
[tex]y=\dfrac{4}{5}x+8[/tex]
[tex]20y+25x=180[/tex]
To find:
The relation between two of lines.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
We have,
[tex]y=\dfrac{4}{5}x+8[/tex] ...(i)
[tex]20y+25x=180[/tex] ...(ii)
Equation (i) can be written as
[tex]20y=-25x+180[/tex]
[tex]y=\dfrac{-25x+180}{20}[/tex]
[tex]y=\dfrac{-25x}{20}+\dfrac{180}{20}[/tex]
[tex]y=\dfrac{-5x}{4}+9[/tex] ...(iii)
On comparing (i) with slope intercept form, we get
[tex]m_1=\dfrac{4}{5}[/tex]
On comparing (iii) with slope intercept form, we get
[tex]m_2=-\dfrac{5}{4}[/tex]
Now,
[tex]m_1\times m_2=\dfrac{4}{5}\times (-\dfrac{5}{4})[/tex]
[tex]m_1\times m_2=-1[/tex]
The product of slopes of both lines is -1. We know that the product of slopes of two perpendicular lines is -1.
Therefore, the given lines are perpendicular.
the weight of one serving of trail mix is 2.5 ounces. How many servings are there in 18.5 ounces of trial mix.
Answer:
7.4 servings
Step-by-step explanation:
What we know:
- 1 serving = 2.5 ounces
To find the number of servings there are in 18.5 ounces, divide 18.5 by 2.5.
18.5/2.5=7.4
I hope this helps!
Potatoes are on sale for $0.58 per pound. How much 3 of potatoes cost?
A. $1.99
B. $2.03
C. $2.36
D. $2.92
Answer now please
Answer:
Step-by-step explanation:
O points but it’s 1.99
The heights, in feet, of the trees for sale at two nurseries are shown below.
Yard Works: 7, 9, 7, 12,5
The Grow Station: 9, 11, 6, 12, 7
which statement are true regarding the measurements of center in variability of these data sets/3 choices
Answer:
The mean of tree heights at Yard Works is 8 feet. The mean of tree heights at The Grow Station is 9 feet. The mean absolute deviations of the tree heights at both yards is 2.
Answer:
The heights, in feet, of the trees for sale at two nurseries are shown below.
Yard Works: 7, 9, 7, 12, 5
The Grow Station: 9, 11, 6, 12, 7
Which statements are true regarding the measures of center and variability of these data sets? Select three choices.
________________________________________________________
1 The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
2 The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.
3 The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
4 The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station.
5 The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.
Step-by-step explanation:
Yard works has...
mean=8
median=7
mode=7
range=11
because in order it is 5 7 7 9 12
(5+7+7+9+12)/5=8
5 7( 7 )9 12 is the median
and seven occurs the most
and with this logic...
THE GROWSTATION has a
mean=9
median=9
mode=n/a
range=6
_______________________________________
YEA) The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
YEA) The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.
YEA) The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station.
The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.
_________________________________________________________
A B C
15y +5x- 7y+1x-3y i need help
Answer:
simplify the expression: 6x+5y
Step-by-step explanation:
follow my i-n-s-t-a lillbugg_
Complete the statement to describe the expression abc + def
Answer:
What statement?
abc + def = def+ abc??
Step-by-step explanation:
Help me with number 2 plz. Its vertex
Answer:
x=4, x= -1
Step-by-step explanation:
Write your problem:
[tex]x^{2}[/tex] - 4 = 3x
Subtract 3x from both sides:
[tex]x^{2}[/tex] - 4 - 3x = 3x - 3x
Simplify:
[tex]x^{2}[/tex] - 3x - 4 = 0
Sovle with quadtric formula:
.....
Solve the following proportion for X.
3/17=x/5 Round your answer to the nearest tenth.
Answer:
ans: x = 0.035
Step-by-step explanation:
3/17 = x/5
x = 3÷ (17×5)
x = 3÷ 85
x = 0.035
1. A community swimming pool is 7 yards 4.79 feet wide. How wide is the pool in meters and centimeters?
Conversion ratios:
1 m = 1.09 yd
1 yd = 3 ft
1 ft = 0.3048 m
1 m = 100 cm
Answer:
7.860792 meters and 786.0792 centimeters
Hence, the width of the pool is 7 meters and 86 centimeteres.
What is length?Length is defined as the measurement or extent of something from end to end. In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects.
How to solve?we know, 1yd = 3ft
7yd = 21ft
total length = 21 + 4.79
= 25.79ft
we know, 1ft = 0.3048m
25.79ft = 7.86m
which means 7meters 86 centimeteres
to learn more about length: https://brainly.com/question/18077445
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Please answer please I’ll give you brainless. It’s important. Please
Which of these expressions are equivalent to 4x+2(2x−5)−(3−5x) ? Choose the TWO correct answers.
a- 3x−13
b- 13x−13
c- 8x−5−3−5x
d- 8x−10−3−5x
e- 8x−10−3+5x
Answer:
4x+2(2x−5)−(3−5x) = 8x-10-3+5x
Step-by-step explanation:
We need to find the equivalent expression to 4x+2(2x−5)−(3−5x).
Using distributive property as follows :
a(b+c) = ab+ac
4x+2(2x−5)−(3−5x) = 4x+4x-10-3+5x
= 8x-10-3+5x
Option (e)
Hence, the correct option is (e) "8x-10-3+5x"
If the measure of ZDEF is 65°, what is the measure of DE?
A. 115°
65
B. 65°
C. 130°
D. 32.5°
Answer:
I believe it is C because i heard of that one before
The measure of DE is 130 degrees if the measure of DEF is 65 in the circle option (A) is correct.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Circle is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
The measure of DEF = 65 degrees
C is the center.
Angle CED = 90 - 65 = 25 degrees
Angle DCE = 180 - 25 - 25
Measure of DE = 130 degrees
Thus, the measure of DE is 130 degrees if the measure of DEF is 65 option (A) is correct.
To learn more on Circles click:
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please help due at 11 !! thank you so much
Answer:
13cm
Step-by-step explanation:
The pythagorean theorem states that, for right triangles, [tex]a^{2} +b^{2} =c^{2}[/tex]. Using this equation, we can solve for the hypotenuse.
a = 12cm
b = 5cm
c = hypotenuse
[tex]12^{2} +5^{2} =c^{2}[/tex]
[tex]144+25=c^{2}[/tex]
[tex]\sqrt{169} =c[/tex]
13 = c
Answer:
13
Step-by-step explanation:
a^2+b^2=c^2
12^2+5^2=c^2
144+25=c^2
169
square root of 169=13
13=c
What is the solution to the inequality -3x - 42 > 3?
A. X > -13
B. x < -13
C. X > -15
D. X< -15
Answer:
D. x<-15
Step-by-step explanation:
-3x-42>3 Add 42 to both sides.
+42 +42
-3x>45 Divide both sides by -3.
/-3 /-3
x>-15 Each time you multiply or divide by a negative, you flip the sign.
x<-15
Hope this helps you out!! Have an amazing day ^^
Order from least to greatest.
68%, 0.687, 20
Answer:
20, 68%, 0.687
Step-by-step explanation:
If 20 were to be a percentage, then it'll be less than 68% and 0.687. Since the 7 in 0.687 is greater than 5, you would round up when the question says so. 0.687 is greater than 68%; if you move the decimal 2 times to the right, then 0.687 would be 68.7%. Therefore the order from least to greatest is 20, 68%, 0.687.
I need help with this equation.
the width of a rectangle is half of the length of the rectangle. if the perimeter is 84 inches what is the length of the rectangle?
Answer:
The length of the rectangle is 28 inches.
Step-by-step explanation:
We have that the width (W) of a rectangle is half of the length (L) of the rectangle:
[tex] W = \frac{1}{2}L [/tex] (1)
Also, the perimeter is 84 inches:
[tex] P = 2W + 2L = 84 in [/tex] (2)
By entering equation (1) into equation (2) we have:
[tex]2(\frac{1}{2}L) + 2L = 84 in[/tex]
[tex] L = \frac{84}{3} = 28 in [/tex]
Therefore, the length of the rectangle is 28 inches.
I hope it helps you!
please help me. The bill is $12.00 If you decide to leave a 12% tip, how much tip will you leave the hairdresser?
Answer:
$1.44
Step-by-step explanation:
On a coordinate plane, a straight dashed line with equation y greater-than 2 x minus 4 has a positive slope and goes through (0, negative 4) and (2, 0). Everything to the left of the line is shaded. Which of the points are solutions to the inequality? Check all that apply. (–2, –5) (0, –4) (1, 1) (3, 5) (5, 5)
The answer to your question would be A,C,D
Hope I helped ~~Laurel
HELPPPPPPPPppppp PLEASE
Answer: 2
Step-by-step explanation:
definitely not agree. lets say n = 2, 3n+1 would equal to 7 while the original equation would be 8.
What is the measure of
Answer:
gvb
Step-by-step explanation:
your question is wrong
ask right question first
helpppppppppppp meeeeeeeeee
30 percent off sales tax
9 out of 12 is 75%, and 75 plus 25 is 100, so maybe the decrease is 25 percent?
A bag holds 2 red and 7 blue marbles. What is the probability of the complement of randomly selecting a red marble? Please help asap
Answer:
I'll help the best I can lol
Step-by-step explanation:
You have a 2 in 9 chance randomly selecting a red marble, so your probability of selecting one in the first place.
2/9 chance is 81.8% impaled probability.
Which mixed number is equivalent to the improper fraction below?
D is the correct fraction
What is the solution to this equation?
X = 8
-4
O A. x= 32
O B. x= -32
O C. x= -2
O D. x= 2
Answer:
○B. x= -32
Step-by-step explanation:
The problem is not very organized so I am not sure if we are adding, multiplying, etc. I believe that is the answer though.
5(2n - 4) = 9(n + 2)
please help i’ll give brainiest
Answer:
B. 1.41
Step-by-step explanation:
I suggest the Symbolab calculator for math. I absolutely can not do math and it has saved me. It has a bunch of different function. I just did solve for and entered your problem as is.
What is the value of x?
SUBMIT WORK FOR THIS QUESTION
(x + 40)
(3x)
Answer:x=35 because if you add the terms then your equation would be 4x+40=180 because it’s a 180 degree line.
Step-by-step explanation:
A small theater had 6 rows of 24 chairs each. Workers just removed 8 of these chairs. How many chairs are left?
Answer:
136
Step-by-step explanation:
HELP IM BEING TIMED ANSWER FAST PLEASE