Answer:
P=100(A-R)/RT
Step-by-step explanation:
A-R=PRT/100
100(A-R)=PRT
100(A-R)/RT=P
P=100(A-R)/RT
Haley is camping and needs to go from the campground to the waterfall. She hikes 3 miles north and 7 miles east. What is the shortest distance from the campground to the waterfall?
Answer:
7.61 miles
Step-by-step explanation:
Given that,
Haley hikes 3 miles north and 7 miles east.
We need to find the shortest distance from the campground to the waterfall. Let the distance is D.
It can be calculated as follows :
[tex]D=\sqrt{3^2+7^2}\\D=7.61\ miles[/tex]
So, the shortest distance from the campground to the waterfall is 7.61 miles.
Liam spent $4.76 on a salad bowl, and $3.81 on a cup of coffee. He paid using TWO ten dollar bills. What was Liam's change?
Answer:
11.43
Step-by-step explanation:
You can start this by adding the total cost of the salad and the coffee.
4.76 + 3.81 = 8.57
Then you have the paid amount of 20 bucks because there was two tens.
20 - 8.57 = 11.43.
Jacob cuts 4 meters of a ribbon into 3 pieces, the length of the first piece is 1.28 meters.The length of the second one is 1.65 meters. Work out the length of the 3rd piece.
Answer:
1.07meters
Step-by-step explanation:
Given data
Lenght of ribbon= 4 meters
Number of pieces= 3 pieces
Length of first piece= 1.28meters
Length of second piece= 1.65meters
Let the length of the third piece be x meters
Hence
1.28+1.65+x= 4
2.93+x=4
x= 4-2.93
x=1.07meters
Hence, the length of the third piece is 1.07meters
2x²+5x-3=0
using completing the square method
Answer:
[tex]2 {x}^{2} + 5x - 3 = 0 \\ 2( {x}^{2} + \frac{5}{2} x - \frac{3}{2} ) = 0 \\ 2( {x}^{2} + \frac{5}{2} x + {( \frac{5}{4} )}^{2} ) - \frac{3}{2} - {( \frac{5}{4} )}^{2} ) = 0 \\ ( {(x + \frac{5}{4} )}^{2} = \frac{49}{16} \\ x + \frac{5}{4} = ± \frac{7}{4} \\ x = 0.5 \: \: and \: \: 3[/tex]
Answer:
x= [tex]\frac{1}{2}[/tex] or x= -3
Step-by-step explanation:
[tex]\boxed{x^{2} +kx=(x+\frac{k}{2})^{2} -(\frac{k}{2})^{2} }[/tex]
First ensure that the coefficient of x² is 1.
x² +[tex]\frac{5}{2}[/tex]x -[tex]\frac{3}{2}[/tex]= 0
[x +([tex]\frac{5}{2}[/tex] ÷2)]² -([tex]\frac{5}{2}[/tex] ÷2)² -[tex]\frac{3}{2}[/tex]= 0
(x +[tex]\frac{5}{4}[/tex])² -([tex]\frac{5}{4}[/tex])² -[tex]\frac{3}{2}[/tex]= 0
(x +[tex]\frac{5}{4}[/tex])²- [tex]\frac{25}{16}[/tex] -[tex]\frac{3}{2}[/tex]= 0
(x +[tex]\frac{5}{4}[/tex])² -[tex]\frac{49}{16}[/tex]= 0
(x +[tex]\frac{5}{4}[/tex])²= [tex]\frac{49}{16}[/tex]
x +[tex]\frac{5}{4}[/tex]= [tex]\sqrt{\frac{49}{16} }[/tex] (square root both sides)
x +[tex]\frac{5}{4}[/tex]= ±[tex]\frac{7}{4}[/tex]
x= -[tex]\frac{5}{4}[/tex] +[tex]\frac{7}{4}[/tex] or x= -[tex]\frac{5}{4}[/tex] -[tex]\frac{7}{4}[/tex]
x= [tex]\frac{1}{2}[/tex] or x= -3
p l e a s e h e l p
(Only spaced it cus I needed 20 characters, danke)
Answer:
y = 63
Step-by-step explanation:
A straight line is equal to 180 degrees.
180 = 2y - 18 + y + 9
180 = 3y -9
189 = 3y
189/3
y = 63
Answer:
63
Step-by-step explanation:
2y-18+y+9=180 degrees
3y-9=180 degrees
3y=189 degrees
y=63 degrees
There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 3 8 . There are 21 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be.
Answer:
Number of milk chocolate in beg = 56
Step-by-step explanation:
Given:
Probability of randomly choosing a dark chocolate = 3/8
Number of dark chocolate = 21
Find:
Number of milk chocolate in beg
Computation:
Number of milk chocolate in beg = Number of dark chocolate / Probability of randomly choosing a dark chocolate
Number of milk chocolate in beg = 21 / [3/8]
Number of milk chocolate in beg = 21[8/3]
Number of milk chocolate in beg = 7[8]
Number of milk chocolate in beg = 56
The circumference of a circle is approximately 39.25 mm. What is the length of the diameter?
Answer:
12.5 millimeters (mm).Step-by-step explanation:
Explain/define:
CIRCUMFERENCE: THE DISTANCE AROUND A CIRCLE.
DIAMETER: THE LENGTH OF A STRAIGHT LINE THROUGH THE CENTER OF A CIRCLE.
Mathematics: Formula
[tex]d=c/3.14[/tex]
[tex]d-diameter[/tex]
[tex]c-circumference[/tex]
Mathematics: Solve
To find the length of the diameter from the circumference, divide the circumference by pi. The quotient is the diameter.
3.14 is often used for pi.
[tex]39.25/3.14=12.5.[/tex]
Conclude:
Therefore, the length of the diameter of the circle is 12.5 millimeters (mm).
An angle is bisected by a segment forming two new angles find m
Answer:
60
Step-by-step explanation:
Note that angle ZXY is the bisected angle which was split into angle 1 and 2
Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )
If angle 2 = 30 then angle 1 also = 30
Like stated multiple times angle ZXY is made up of angle 1 and 2
Hence, Angle ZXY = Angle 1 + Angle 2
Angle ZXY = 30 + 30 = 60
Victor wanted to know the height of a tree at his friend’s house. On Saturday morning, he measured the shadow of the tree along the ground to be 24 feet long. At the same time, he measured his own shadow to be 3 feet long. Victor is 6 feet tall. Find the height of the tree
Ratio remains same
Let that be x[tex]\\ \rm\rightarrowtail \dfrac{6}{3}=\dfrac{x}{24}[/tex]
[tex]\\ \rm\rightarrowtail 2=x/24[/tex]
[tex]\\ \rm\rightarrowtail x=48[/tex]
Sasha and Donnel run separate lawn care business. Sasha's charge is represented by
the curve and Donnel's is represented by the line. Sasha charges $1 per meter
square of lawn, and Donnel charges $1 per perimeter side.
Choose the appropriate equation for Sasha and Donnel respectively:
Oy= 4.rº, y
y = 0
Oy= 42, y=
22
Oy= 2², y = 42
Oy= x, y= 42
PLEASE HELP!!
ILL GIVE MORE POINTS TO THE FASTEST ANSWER
isaiah draws three different diagrams to represent the samples space of picking a marble from the bag and spinning the spinner . NEED HELP NOWWW YOU WILL GET BRAINLIEST FASTTT
Answer:
Step by step explanation:
please help thank you
Answer:
50 ft²
Step-by-step explanation:
ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also
2(25) = 50 sq feet
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
. Which of these could be the side lengths of a right triangle? Highlight all possible answers. A. 4-7-10 B. 36-48-60 C. 6-10-14 D. 14-48-50
Answer:
B. ) 36-48-60
Step-by-step explanation:
From Pythagoras theorem, we can determine the sides of the triangle by testing the options
a^2 + b^2 = c^2
Then test the options
B. ) 36-48-60
36^2 + 48^2 = 60^2
3600 + 2304 = 3600
3600= 3600
Since both sides have equal values, then OPTIONS B express a correct sides of the triangle
C.) 6-10-14
6^2 + 10^2 = 14^2
36+ 100= 196
136= 196( it doesn't make an equality then it's not the answer
A geometric sequence starts with 12,.
...,27,..., 60.75,...
where 12 is the first term, 27 is the third term and 60.75 the fifth term.
Work out the common ratio of the sequence.
What’s the answer?
Answer:
b
Step-by-step explanation:
it's right cause I took the quix
Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.
Answer:
See explanation for matching pairs
Step-by-step explanation:
Equations
(1)
[tex]x - y = 25[/tex]
[tex]2x + 3y = 180[/tex]
(2)
[tex]2x - 3y = -5[/tex]
[tex]11x + y = 550[/tex]
(3)
[tex]x - y = 19[/tex]
[tex]-12x + y = 168[/tex]
Solutions
[tex](-17,-36)[/tex]
[tex](47, 33)[/tex]
[tex](51, 26)[/tex]
Required
Match equations with solutions
(1) [tex]x - y = 25[/tex] and [tex]2x + 3y = 180[/tex]
Make x the subject in: [tex]x - y = 25[/tex]
[tex]x = 25 + y[/tex]
Substitute [tex]x = 25 + y[/tex] in [tex]2x + 3y = 180[/tex]
[tex]2(25 + y) + 3y = 180[/tex]
[tex]50 + 2y + 3y = 180[/tex]
[tex]50 + 5y = 180[/tex]
Collect like terms
[tex]5y = 180-50[/tex]
[tex]5y = 130[/tex]
Solve for y
[tex]y =26[/tex]
Recall that: [tex]x = 25 + y[/tex]
[tex]x = 25 + 26[/tex]
[tex]x = 51[/tex]
So:
[tex](x,y) = (51,26)[/tex]
(2) [tex]2x - 3y = -5[/tex] and [tex]11x + y = 550[/tex]
Make y the subject in [tex]11x + y = 550[/tex]
[tex]y = 550 - 11x[/tex]
Substitute [tex]y = 550 - 11x[/tex] in [tex]2x - 3y = -5[/tex]
[tex]2x - 3(550 - 11x) = -5[/tex]
[tex]2x - 1650 + 33x = -5[/tex]
Collect like terms
[tex]2x + 33x = -5+1650[/tex]
[tex]35x = 1645[/tex]
Solve for x
[tex]x = 47[/tex]
Solve for y in [tex]y = 550 - 11x[/tex]
[tex]y = 550 - 11 * 47[/tex]
[tex]y = 550 - 517[/tex]
[tex]y = 33[/tex]
So:
[tex](x,y) = (47,33)[/tex]
(3)
[tex]x - y = 19[/tex] and [tex]-12x + y = 168[/tex]
Make y the subject in [tex]-12x + y = 168[/tex]
[tex]y = 168 + 12x[/tex]
Substitute [tex]y = 168 + 12x[/tex] in [tex]x - y = 19[/tex]
[tex]x - 168 - 12x = 19[/tex]
Collect like terms
[tex]x -12x = 168 + 19[/tex]
[tex]-11x = 187[/tex]
Solve for x
[tex]x = -17[/tex]
Solve for y in [tex]y = 168 + 12x[/tex]
[tex]y =168-12 *17[/tex]
[tex]y =-36[/tex]
So:
[tex](x,y) = (-17,-36)[/tex]
PLEASE ANSWER THIS QUESTION IM BEGGING YOU !
Answer:
5/36
Step-by-step explanation:
There are 12 tiles
P( blue) = blue /total = 5/12
We put the first tile back so there are still 12 tiles in the bag
P(yellow) = yellow/total = 4/12 = 1/3
P( blue, yellow) = 5/12 * 1/3 = 5/36
Test question........................
You Have Passed Thy Test!!! BADAAAA (\•o•/)
I need help I’m stuck
Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5 cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?
Answer:
Kiera has a lower ratio of raisins to nuts. (2:5)
Step-by-step explanation:
To find this, you would have to make the number of nuts the same in each to accurately compare them.
It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)
Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)
So I multiplied both the 2 and the 5 in 2:5 by 6 first.
Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.
So Kiera will have 12:30 and Desmond will have 15:30.
Then you can conclude that Kiera has the lower ratio.
Question Progress
Homework Progress
136 / 283 Marks
d
+ 2
- +
Make d the subject of the formula h: h=d/3+2
Answer:
d = 3h - 6
Step-by-step explanation:
Given
h = [tex]\frac{d}{3}[/tex] + 2 ( subtract 2 from both sides )
h - 2 = [tex]\frac{d}{3}[/tex] ( multiply both sides by 3 )
3(h - 2) = d , that is
d = 3h - 6
Find the length of TU.
Answer:
0.5 (8x+15)?
Step-by-step explanation:
i really hope this helps-
not the greatest at math ._.
Step-by-step explanation:
I hope ill help you.
TU(4x+7.5)
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
63/10, 6.396, 6.99, 7 4/11
Step-by-step explanation:
Convert all to fraction or decimal
a rectangular lawn of dimensions 6x metres by x metres. In the centre is a rectangular flower bed of length (x + 4) m and width (x - 1) m. If the area of the shaded region is 40 m’, calculate the area of the flower bed.
Answer:
The area of flower bed is 8.96 m^2.
Step-by-step explanation:
Length of lawn = 6 x
width of lawn = x
length of flower bed = x + 4
width of flower bed = x - 1
Area of shaded region = 40 m^2
Area of the shaded region
6 x (x) - (x +4)(x -1) = 40
[tex]5 x^2 - 3 x - 36 = 0 \\\\x = \frac{-3\pm\sqrt{9 + 720}}{10}\\\\x = \frac{-3\pm 27}{10}=2.4 m, - 3 m[/tex]
As length cannot have negative value, so x = 2.4 m.
Area of flower bed = (x + 4)(x - 1) = (2.4 + 4)(2.4 - 1) = 8.96 m^2
find distance between (0,6) and (8,0)
with process.......
Answer:
answer to the question is 10 units..
Answer:
10 units
Step-by-step explanation:
(0 , 6) = (x1 , y1)
(8 , 0) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(8 - 0)^2 + (0 - 6)^2}[/tex]
=[tex]\sqrt{8^2 + (-6)^2}[/tex]
=[tex]\sqrt{64 + 36}[/tex]
=[tex]\sqrt{100}[/tex]
=10 units
What is the median of this data set? Enter your answer as a decimal in the box median=
Median is the middle value.
Writing the values from smallest to largest you have :
1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8
There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.
The Median is 2/8
Answer:
2/8 is the median. In decimal, it is 0.25.
Happy learning!
--Applepi101
15 feet tree cast a shadow that is 15 feet long. What is the distance from the top of the tree to the tip of its shadow?
Answer: Hi. The height of the tree is 27 ft
Step-by-step explanation:
Answer link- https://socratic.org/answers/601885
The polynomial x3 + 8 is equal to
Answer:
The polynomial x3 + 8 is equal to (x + 2)(x2 – 2x + 4)
Step-by-step explain
HELP PLSSSSSSSZzzzzzzzzzzzz
Answer:
w equal to 9z
or z equals to w/9
