Explanation:
If we start off with $100 and decrease by 15%, then we are decreasing by $15 since 15% of 100 = 0.15*100 = 15
We start with $100 and drop to 100-15 = 85. Dividing this over the original 100 gets us 85/100 = 0.85
Put another way, 100% - 15% = 1 - 0.15 = 0.85
The decimal multiplier for "decrease by 15%" is 0.85; this sort of thing is useful if you wish to apply multiple discounts to a product.
Side note: the 0.85 can be thought of as 85%, so the product's new value is 85% of its original value
This figure is made up of a triangle and a semicircle. What is the area of this figure? Use 3.14 for pi. Round only your final answer to the nearest tenth. Enter your answer, as a decimal, in the box
Answer:
Area = 14.8 units²
Step-by-step explanation:
Base of Triangle = 2 units
Height of Triangle = 5 units
Radius of the semi circle = 2.5 units
Now,
Triangle:
Area of triangle = 1/2(base*height)
Area = 1/2(2*5)
Area = 1/2(10)
Area = 5 units²
Semi-Circle:
Area of semi-circle = 1/2(πr²)
Area = 1/2(3.14)(2.5)²
Area = 1/2(3.14)(6.25)
Area = 9.8 units²
Area of the figure:
Area = 5 + 9.8
Area = 14.8 units²
Please help me :( struggling
C. exponential decay
PLZ HELP ME THANKS Solve each application using algebra. Write your equation or inequality and show your solving steps.... A 10-meter wire is cut into 2 unequal pieces. The large piece is 3 meters less than twice the smaller piece. Use algebra to determine the lengths of each piece
Answer:
4 1/3 m and 5 2/3 m
Step-by-step explanation:
smaller piece -l
large piece=2*l-3
l+2l-3=10
3l-3=10
+3 +3
3l=13
:3 :3
l=13/3=4 1/3 m
L= 2*13/3 -3=26/3-9/3=17/3=5 2/3m
Answer:
[tex]Small=4\frac{1}{3}[/tex]
[tex]Large=5\frac{2}{3}[/tex]
Step-by-step explanation:
Small = x
Large = 2x - 3
3x - 3 = 10
3x = 13
[tex]x=\frac{13}{3}[/tex]
[tex]Small=\frac{13}{3}[/tex]
[tex]Large=5\frac{2}{3}[/tex]
Find the volume of the prism.
13ft 7ft
Answer:
the volume of the prism is VOLUME=BASE*HEIGHT
Step-by-step explanation:
SO it's ,
13*7=91ft
Answer:
591.5 ft^3
Step-by-step explanation:
0.000000205
In standard form
Answer:
2.05 × 10⁷
Step-by-step explanation:
0.000000205
We'll move the decimal point after the first non-zero digit (as per the scientific notation rules) and the standard form would be :
=> 2.05 × 10⁷
Answer:
205 × [tex]10^{-9}[/tex]
Step-by-step explanation:
[tex]10^{-9} = 0.000000001[/tex]
0.000000001 × 205 = 0.000000205
is the centre of a circle always equal distance from all points on the circumference? and why
Answer:
Yes, the center of a circle is always and always equidistant from all the points on circumference because that is because what a circle is called. The distance from the center of the circle to the circumference is called the radius and it is constant for any particular circle.
Nikolas and his son, and Peter with his son, went fishing. Nickolas caught as many fish as did his son. Peter caught three times as many as his son did. Altogether they caught 35 fish. Nikolas' son's name is Gregory. What is the name of Peter's son? How many fish did each of them catch?
Step-by-step explanation:
4unit is 35
1unit is 35/4 which is 8.75
Lana has a bowl of marbles the bowl contains 5 green marbles,3 red marbles and 2 blue marbles from the bowl one at a time. What is the probability that lana will select a green marble first, replace the marble, then select a red marble
Answer:
3/20
Step-by-step explanation:
5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles
P( green) = green/total = 5/10 = 1/2
Replace
5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles
P( red) = red/total = 3/10
P(green,replace, red) = 1/2 * 3/10 = 3/20
Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the phone. If he talks to her at school, he's 90% likely to ask hem
to a party. However, he's only 60% likely to ask her over the phone.
This is the tree diagram that represents the probability of Thomas inviting Madeline to a party.
What is the probability of Thomas inviting Madeline to the party over the phone?
Answer:
The probability of Thomas inviting Madeline to the party over the phone is 0.143.
Step-by-step explanation:
Consider the tree diagram below.
The events are denoted as follows:
A = Thomas bumps into Madeline at school
B = Thomas call Madeline on the phone
X = Thomas asks Madeline to the party
The information provided is:
P (A) = 0.80
P (B) = 1 - P (A) = 1 - 0.80 = 0.20
P (X|A) = 0.90
⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10
P (X|B) = 0.60
⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40
The conditional probability of event U given that another events V has already occurred is:
[tex]P(U|V)=\frac{P(V|U)P(U)}{P(V)}[/tex]
The law of total probability states that:
[tex]P(V)=P(V|U)P(U)+P(V|U')P(U')[/tex]
In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).
Use the law of total probability to determine the value of P (X) as follows:
[tex]P(X) = P(X|A)P(A)+P(X|B)P(B)[/tex]
[tex]=(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84[/tex]
Compute the value of P (B|X) as follows:
[tex]P(B|X)=\frac{P(X|B)P(B)}{P(X)}[/tex]
[tex]=\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143[/tex]
Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.
Answer:
84%
Step-by-step explanation:
Its the correct answer
Check all that apply in regards to the given sequence:
5, 8, 11, 14, 17, 20, 23, ...
Answer:
see explanation
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 8 - 5 = 11 - 8 = 14 - 11 = 17 - 14 = 20 - 17 = 23 - 20 = 3
This indicates the sequence is arithmetic
The common difference d = 3
The first term a₁ = 5 and
a₈ = 23 + 3 = 26
Which coordinate grid shows Point A at (0.75, −1.50)? Coordinate grid shown from negative 2 to positive 2 on the axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 6 grid lines to the left of the y-axis and 3 grid lines above the x-axis. Coordinate grid shown from negative 2 to positive 2 on the axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 6 grid lines to the right of the y-axis and 3 grid lines below the x-axis. Coordinate grid shown from negative 2 to positive 2 on the axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 3 grid lines to the left of the y-axis and 6 grid lines above the x-axis. Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 3 grid lines to the right of the y-axis and 6 grid lines below the x-axis.
Answer:
( fraction negative 1 over 4, fraction 1 and 3 over 4 )
Step-by-step explanation:
Answer:
1st one will be it!
Step-by-step explanation:
find the area of a circle
Answer:
28.26 square feet
Step-by-step explanation:
Area of a circle is: [tex]A=\pi r^2[/tex]
'r' is the radius.
We are given the diameter of 6ft. Since the diameter is twice the radius, the radius is 3 ft.
6/2 = 3
Using 3.14 for pi:
[tex]A=3.14*3^2\\\rightarrow 3^2=9\\A=3.14*9\\\boxed{A=28.26}[/tex]
The area of the circle should be 28.26 square feet.
Answer:
28.26 ft²
Step-by-step explanation:
If the diameter is 6 feet, then the radius is 3 feet since 2r=d
The area formula in this case is 3.14×r² since it says "Use 3.14 for π".
3.14×3²=
3.14×9=
28.26 ft²
URGENT! WILL GIVE BRAINLIEST!! The graph shows the data of texting speed according to time.A graph has time (minutes) on the x-axis and texting speed (words per minute) on the y-axis. Points are at (1, 14), (1, 18), (2, 10), (2, 15), (2, 17), (3, 14), (4, 10), (4, 15), (5, 6), and (5, 10).Use the scatter plot to determine if there is a relationship. If there is a relationship, explain it.Yes, there is a relationship. As time increases, texting speed increases.Yes, there is a relationship. As time increases, texting speed decreases.Yes, there is a relationship. As texting speed increases, time increases.No, there is no relationship displayed.
Answer: Yes, there is a relationship. As time increases, texting speed decreases.
Step-by-step explanation:
that is for the people looking for the correct answer.
The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.
What is a scatter plot?A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.
Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.
Learn more about Scatter Plot:
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How many square feet are there in a strip of carpet 4 feet wide and 11 feet long
Answer: There is 44 square feet in the total area of the carpet!
Step-by-step explanation:
4x11=44! Let me know if this helped! <3
The weights (lbs.) of the 5 offensive linemen for the High School football team are as follows: 215, 225, 285, 260, and 250. The median weight is:
A)205 lbs
B)250 lbs.
C)247 lbs.
D)None of these choices are correct.
PLEASE ANSWER ASAP!!!!! DONT NEED much explanation How many solutions does this system have? (photo below)
Answer:
infinite solutions
Step-by-step explanation:
Multiply the first equation by 2
2(3x-5y) = 2*15
6x - 10y = 30
This is the same as the second equation
They are the same line
This means there are infinite solutions
use the elimination method to solve 4x+8y=16 4x-8y=0
Answer:
x=2, y=1
Step-by-step explanation:
4x+8y=16
4x-8y=0
Add the two equations together:
8x=16
Divide both sides by 8:
x=2
Plug this back into one of the original equations to find y:
4(2)-8y=0
8-8y=0
y=1
Hope this helps!
Answer:
x, y = (0, 0)
Step-by-step explanation:
photo math broo
Pls help as fast as possible
Answer:
452.389342 cubic inches
Step-by-step explanation:
The volume of a sphere is calculated using the formula V = 4/3 pi r^3
to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.
from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.
Note that this is only the volume of 1 sphere, so we multiply by 4
and we get 452.389342 cubic inches
Answer:
452.4
Step-by-step explanation:
Radius of each sphere: 24/4/2=3
Formula for volume: (4pir^3)/3
Formula for 4 spheres: 4 times (4pir^3)/3
Substitute 3 for r
my brain hurting can u help
estimate the total cost of 31 televisions at £196.50 each and 19 DVD players at £50.99 each
Answer:
£7060.31Solution,
Cost of one television=£196.50
cost of 31 televisions:
[tex] = 196.50 \times 31 \\ = 6091.5[/tex]
Cost of one DVD player=£50.99
Cost of 19 DVD player:
[tex] = 50.99 \times 19 \\ = 968.81[/tex]
Now,
Total cost
= cost of 31 televisions + cost of 19 DVD player
=6091.5+968.81
=£7060.31
Hope this helps...
Good luck on your assignment..
Answer:
£7060.31Step-by-step explanation:
Cost of a television = £196.50cost of 31 televisions.
[tex]196.50 \times 31 \\ = 6091.5 0\\ [/tex]
Cost of a DVD player = £50.99cost of 19 DVD players
[tex]50.99 \times 19 \\ = 968.81 \\ [/tex]
Now let's find the total cost
[tex]6091.50 + 968.81 \\ = 7060.31[/tex]
I need mega help I can't get it wrong
Answer:
4320 square inches
Step-by-step explanation:
Area of a rectangle is base times height. You need to convert 3 yards to inches in order to multiply for the area. Since 1 yard is equal to 36 inches, 4 yards is 4*36 = 144 inches. Now you multiply 30 * 144 to get 4320, which is your answer.
What is the product?
3 x [1 -4 5 -7]
This looks like scalar matrix multiplication. The idea here is to multiply the scalar 3 by each item inside the matrix.
Doing so leads to the answer [3 -12 15 -21]
Side note: I'm assuming the matrix given to you has 1 row and 4 columns.
A pile of sand weighs 90kg. the sand is put into a small bag, a medium bag and a large bag in the ratio 2: 3: 7. work out the weight of each sand bag Please help!
Answer:
the first bag is 15 ,the second bag is 22.5 and the third bag is 52.5
Step-by-step explanation:
you take the ratios and add them together 2+3+7=12. then you take 2/12×90=15,3/12×90=22.5,7/12×90=52.5 I think I tried
I NEED HELP PLEASE, THANKS SO MUCH! :)
Answer:
Option B
Step-by-step explanation:
Vertical x= -5, x= -3, Horizontal y=3x-4 (slant)
what is the value of X in the equation 1/2 X - 3/4 =3/8 - 5/8 X
Answer:
X =1
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
1/2x-3/4=3/8-5/8x
l.c.m=8
multiply both sides by l.c.m(8)
x/2×8-3/4×8=3/8×8-5x/8×8
4x-6=3-5x
4x+5x=3+6
9x=9
divide both sides by 9
9x/9=9/9
x=1
Point B ∈ AC so that AB : BC = 2:1. Point D ∈ AB so that AD : DB = 3:2. Find AD : DC.
Answer:
AD : DC is 2:3
Step-by-step explanation:
The parameters given are;
Point B ∈ AC
AB : BC = 2:1
Point D ∈ AB
AD : DB = 3:2
Therefore, whereby we sum the ratios, we have;
For AC
AB = 2/(2+1)×AC = 2/3×AC
BC = 1/3×AC
For AB
AD = 3/(3+2)×AB = 3/5×AB
DB = 2/5×AB
We are required to find AD:DC
Given that AD = 3/5×AB and AB = 2/3×AC
We have;
AD = 3/5×2/3×AC = 6/15 AC
DC = DB + BC = 2/5×AB + 1/3×AC = 2/5×2/3×AC + 1/3×AC = 4/15×AC + 1/3×AC
DC = 3/5×AC
AD : DC = 6/15 AC : 3/5×AC = 2:3.
Beverly has $50 to spend at an amusement park. She plans to spend $10 for food, and $15 for admission to the park. Each ride costs $1.50 to ride.
Answer:
a b c d e f g h i j k l m o n p q r s t u v w x y z n o w i k n o w m y a b c s n e x t t i m e w o n t y o u s i n g w i t h m e
Step-by-step explanation:
cocomelon
What is 3+3/-4+6-34+9
ANSWER:
The answer is -16.75
First divide the division 3/-4 then start the addition and subtraction
Answer:
-67/4 or -16.75
Step-by-step explanation:
Simply plug all of that into the calc and you should get your answer.
3 7 of students at a school are boys. If there are 2282 students at the school, how many are girls? plz help me
Answer:
2245
Step-by-step explanation:
2282-37=2245
2245 students are girls
Answer:
1304
Step-by-step explanation:
3/7 of students are boys
total students= 2282
girls are 1-3/7= 4/7 of all students
girls= 2282*4/7= 1304
Identify the coordinates of the point (3,-2), translated 5 units left and 6
units up.
(2,-4)
(-2,-8)
(8,4)
(-2,4)
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US 10:2
Answer:
(- 2, 4 )
Step-by-step explanation:
A translation of 5 units left means subtract 5 from the original x- coordinate.
A translation of 6 units up means add 6 to the original y- coordinate.
Thus
(3, - 2 ) → (3- 5, - 2 + 6 ) → (- 2, 4 )
The coordinates of the point (3,-2), translated 5 units left and 6
units up are (-2, 4) option (D) (-2, 4) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The point (3,-2), translated 5 units left and 6 units up.
A 5-unit left translation entails taking 5 away from the initial x-coordinate.
A translation of six units upwards entails multiplying the initial y-coordinate by six.
After applying the translation:
(3, -2) → (3- 5, - 2 + 6) → (-2, 4)
Thus, the coordinates of the point (3,-2), translated 5 units left and 6
units up are (-2, 4) option (D) (-2, 4) is correct.
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