A rectangle with area 380 square inches has a length that is two less than four times the width. Find the length and the width of the rectangle.
2. Chaleah deposited 700$ in a new account that earns 5% simple interest. After 4 years,
how much interest will she have earned? How much total money will Chaleah have after
4 years
a. Interest:
b. Total:
Answer:
Interest earned: $150.85
Total amount: $850.86
Step-by-step explanation:
Y=700(1.05)^4
Put the right side of the equation into a calculator and get
850.85 that's your total, so to get the amount earned subtract the original 700 from it and get 150.85
Question 4
Titus is asked to prove hexagon FEDCBA is congruent to hexagon
F'E'D'C'B'A' in the graph below. Titus thinks that if he transforms hexagon
FEDCBA by (x, y) - (x + 16, y - 10) he can show the two figures are
congruent. Is he correct? Explain why or why not. If Titus is incorrect, what
series of transformations will correctly prove FEDCBA F'E'D'C' B'A'!
I need ASAPPPP
Answer: No, Titus is incorrect.
Step-by-step explanation: Two shapes are congruent when they have the same size and shape, but one is created of rotation, reversion or translation of the other.
So, hexagons FEDCBA and F'E'D'C'B'A' are congruent because they have the same size and shape, however they are reversed and translated from each other, i.e.:
Comparing the coordinates of both hexagons:
F (-6,6) → F' (6, -4)
A (-10,6) → A' (10,-4)
E (-4,4) → E' (4, -6)
B (-12,4) → B' (12, -6)
D (-6,2) → D' (6, -8)
C (-10,2) → C' (10, -8)
We notice that the transformation necessary to transform FEDCBA into F'E'D'C'B'A' is
multiply x-coordinate by (-1);subtract y-coordinate by 10;Therefore, it is (x,y) → ( -x, y-10).
So, Titus is incorrect about the transformations that prove the hexagons are congruent.
Which symbol should go into the box to make the statement true?
117 _17
<
>
=
Answer:
>
Step-by-step explanation:
> 117 is greater than 17
Plz help. It was already due but I need to get it done so plz help me:(
Answer:
4 and 10 - acute
2 is acute, but 3 is obtuse
8 and 12 - acute
6 and 12 - acute
1 is obtuse 2 is acute
15 and 11 are obtuse
9 is obtuse but 8 is acute
2 and 4 are acute.
Step-by-step explanation:
I believe this is correct.
A right angle is a perfect corner. Think of a square and look at the corner, it doesn't go farther or shorter when it hits a side if you know what I mean by that. An acute angle is shorter than a right angle, or stops before it can be called a right angle. An obtuse angle is bigger than a right angle, or ends after the right angle point. I hope what I have just said here helps you with future problems!! Good luck :))
Complete the following statement. 5 pt = c
Answer:
5 pints is equal to 10 cups
Step-by-step explanation:
A scale model drawing of a room is 4 centimeters wide and 12 centimeters long. The scale model uses a scale in which 2 centimeters represents 1.4 meters.
What is the area of the actual room?
11.76 m²
23.52 m²
33.6 m²
67.2 m²
♡ The Question ♡
A scale model drawing of a room is 4 centimeters wide and 12 centimeters long. The scale model uses a scale in which 2 centimeters represents 1.4 meters.
What is the area of the actual room?
* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
23.52 m² !
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
No Explanation/Step-By-Step provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No tips provided!
The actual area of the room will be 23.52 m².
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Width of room = 4 cm
Length of room = 12 cm
And, The scale model uses a scale in which 2 centimeters represents 1.4 meters.
Now,
Since, The scale model uses a scale in which 2 centimeters represents 1.4 meters.
That is,
2 cm = 1.4 m
1 cm = 0.7 m
So, The width of room = 4 cm
= 4 x 0.7 m
= 2.8 m
And, The length of room = 12 cm
= 12 x 0.7 m
= 8.4 m
Thus, The actual area of room = Length x Width
= 8.4 x 2.8 m²
= 23.52 m²
Therefore, The actual area of the room will be 23.52 m².
Learn more about the multiplication visit:
https://brainly.com/question/28768606
#SPJ2
Evaluate 2 ∙ (8 + 4) using the steps of order of operations. plese due in 5 help
Answer:
24
Step-by-step explanation:
Do the equation in the () first, 8+4 = 12, and 12 x 2 = 24
How many solutions are in this graph?
Answer:
One solution
Step-by-step explanation:
Only one solution, as the lines intersect only at (-2,2).
Johannes needs to buy replacement team uniform..
Answer:
D.
Step-by-step explanation:
To encourage new customers, a movie theater is offering different ways to pay for the movie.
Members pay a one time fee of $75 and then $2 per movie they watch.
Non-members pay $5.75 per movie they watch.
Answer:
Number of movies for equal wage = 20
Step-by-step explanation:
Assume;
Number of movies for equal wage = x
So,
75 + 2x = 5.75 x
3.75 x = 75
x = 75 / 3.75
x = 20
So,
Number of movies for equal wage = 20
10. Rob used 4.25 ounces of peanuts, 3.4 ounces of pecans, and 2.75 ounces of walnuts to make a trail mix. How many ounces of nuts did Rob use in the trail mix? 10.4
Answer:
10.4
Step-by-step explanation:
4.25 +3.4 + 2.75
Consider the equation and the following ordered pairs: (-2,y) and (x,1).
y = -2x + 3
Billy has 300 candy bars. He eats 43. What does billy have left?
Answer:
Bill will have 257 candy bars left!
Step-by-step explanation:
just do 300 - 43
Two customers went to a sports shop to buy baseballs and gloves. Each Baseball cost the same amount and each glove costs the same amount.
- The first customer paid $60 for four baseballs and two gloves
- The second customer paid $84 for five baseballs and three gloves
What was the cost in dollars of each baseball?
Answer:
$6.00
Step-by-step explanation:
Using a system of equations, it is found that each baseball costs $6.
For our system, we are going to say that:
x is the cost of a baseball.y is the cost of a glove.The first customer paid $60 for four baseballs and two gloves, hence:
[tex]4x + 2y = 60[/tex]
Simplifying by 2:
[tex]2x + y = 30 \rightarrow y = 30 - 2x[/tex]
The second customer paid $84 for five baseballs and three gloves, hence:
[tex]5x + 3y = 84[/tex]
Since [tex]y = 30 - 2x[/tex]
[tex]5x + 3(30 - 2x) = 84[/tex]
[tex]5x + 90 - 6x = 84[/tex]
[tex]x = 6[/tex]
Each baseball costs $6.
A similar problem is given at https://brainly.com/question/24778333
The graph of the equation y=-2 is a line
1 parallel to the x-axis
2 parallel to the y axis
3 passing through the origin
4 passing through the point(-2,0)
Solve
random points for no reason what so ever
Answer:
HEEYYYY
Step-by-step explanation:
THANK YOU SO MUCH!!! :)
Answergbshrkghjgfsgsfg
Step-by-step explanation:
sgsfgafgfgfgffg
Adam has two brothers, Ben and Chris, and one sister, Daisy. On any given day, Ben calls Adam with Probability 0.3, Chris calls Adam with Probability 0.4, and Daisy calls Adam with probability 0.7. let X be the number of siblings that call Adam tomorrow. Find the expectation of X.
Hint: Express X as the sum of suitable indicator random variables.
Answer:
The expected value of X = 1.4
Step-by-step explanation:
Given that:
The probability of Ben calling Chris = 0.3
The probability of Chris calling Adam = 0.4
The probability of Daisy calling Adam = 0.7
The probability distribution function can be calculated as follows:
P(X = 0) = P( nobody calls Adam)
= (1 - 0.3)×(1 - 0.4)×(1 - 0.7)
= 0.7 × 0.6 × 0.3
= 0.126
P(X = 1) = P(if only Ben call +if only Chris call + if only Daisy call)
P(X = 1) = 0.3 × (1-0.4) × (1-0.7) + (1-0.3) × 0.4 × (1 - 0.7) + (1 - 0.3) × (1-0.4) × 0.7
P(X = 1) = (0.3 × 0.6 × 0.3) + (0.7 × 0.4 × 0.3) + (0.7 × 0.6 × 0.7)
P(X = 1) = 0.432
P(X = 2) = P(if only Ben & Chris Call + if only Ben & Daisy call + if only Chris & Daisy call)
P(X = 2) = 0.3 × 0.4 × (1 - 0.7) + 0.3 × 0.7 × (1 - 0.4) + (1 - 0.3) × 0.4 × 0.7
P(X = 2) = ( 0.3 × 0.4 × 0.3 ) + (0.3 × 0.7 × 0.6) + (0.7 × 0.4 × 0.7)
P(X = 2) = 0.358
P(X = 3) = P(i.e. all three call) =0.3 × 0.4 × 0.7 = 0.084
Therefore; the expected value of X is calculated by using the formula:
[tex]E(X) = \sum x P(X=x)[/tex]
E(X) = (0 × 0.126) + (1 × 0.432) + (2 × 0.358) + (3 × 0.084)
E(X) = 0 + 0.432 + 0.716 + 0.252
E(X) = 1.4
Thus, the expected value of X = 1.4
Drop answersss!!!!!!!
Answer:
a = 0.1b = -0.1Step-by-step explanation:
It may be easier to find the sum, then "rationalize" the denominator.
[tex]\dfrac{2i}{2+i}-\dfrac{3i}{3+i}=\dfrac{2i(3+i)-3i(2+i)}{(2+i)(3+i)}=\dfrac{6i+2i^2-6i-3i^2}{6+5i+i^2}\\\\=\dfrac{1}{5+5i}=\dfrac{5-5i}{(5+5i)(5-5i)}=\dfrac{5-5i}{25+25}=\dfrac{5-5i}{50}\\\\=\boxed{0.1-0.1i}[/tex]
__
Of course, it doesn't hurt to have a suitable calculator.
Two less than three times a number is between -11 and 1. solve.
Answer:
X=0.667
Step-by-step explanation:
3x-2=0
3x=2
X=2/3
X=0.667
Please help with this question!!!!
A
thats where anything with 2 negatives are
Answer:
A
Step-by-step explanation:
in quadrant III
Help with This one here too Thxs so much i only have until 11;59 to finish
Answer:
Width = 7, Length = 42
Step-by-step explanation:
Length is 6 times its width, means that it's the same number but times 6 so we'll use "x" for both length and width:
6x · x = 294
6x^2 = 294
divide both sides by 6
x^2 = 49
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{49}[/tex]
x = 7, width is 7 and length is 6(7) = 42
Montel collected 26Leaves for his science project he wants to put six leaves on a page how it shows how many pages Montello need
Answer:
4.3 pages
beacause 26 divided by 6 is 4.3
The proportion 75/w = 150/100 can be used to find the whole 'w' when the part is 75. Will the 'w' be less than or greater than 75? Without solving, explain how you know. *
Answer:
w will be less than 75.
Step-by-step explanation:
Given the expression;
75/w = 150/100
We are to determine whether w is greater than or less than 75.
If you look at the right hand side of the expression, 150/100, you will see that the denominator is greater than the numerator. Due to the equality sign between the fractions, the same will be applicable to 75/w meaning that w will also be less than 75.
What’s 9+10. I really need to know.
Answer:
Step-by-step explanation:
Trust me - 19
Answer:
Lollll unless this isn't a joke it's 19, if it is a joke then it's 21
3. Determine the domain and range for each graph
(-inf, 1]
Step-by-step explanation:Personal comment
Sorry this took so long
In short, you had it flipped, always put your smallest value first and your largest value second.
Reason:
Interval notation is
[(minima, maxima)]
Which is basically saying the minimum and the maximum, and as such you always end up having the smallest value first.
Putting the reasoning together;
A negative is always less than a positive in practice, therefore, your negative infinity should go first.
Hope this helps :)
the instructor has save $3500 and rents an apartment for $275 monthly. he believes the point 6, 1850 would be on the equation of the lines. is he correct? explain how to check if a point is on a line.
Answer:Yes, he is correct
Step-by-step explanation:Plug 6 in as your x-value in the equation y=-275x+3500 and you will get y=1850
The product of Mia‘s Height and 4 is 52
Answer:
52+4? that's 56. the simplified version 4ft 6in
Step-by-step explanation:
Please help solve this please
Answer:
c
Step-by-step explanation:
hoped it helped you:)))
2.
Hugh is at the gym using an exercise bike. The bike counts each mile as 1 lap.
If Hugh bikes 16 laps, how many miles does he bike?
A
3 miles
B.
4 miles
C.
16 miles
D.
64 miles
Answer :B 4 miles
thank me later