Answer:
x = 5
Step-by-step explanation:
Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is
[tex]\frac{AB}{DC}[/tex] = [tex]\frac{EA}{ED}[/tex] , substitute values
[tex]\frac{10}{4}[/tex] = [tex]\frac{2x+10}{x+3}[/tex] ( cross- multiply )
10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides
10x + 30 = 8x + 40 ( subtract 8x from both sides )
2x + 30 = 40 ( subtract 30 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
what is 56 inches in meters rounded to the nearest hundredth
Answer:
1.42 m
Step-by-step explanation:
Each inch is 0.0254 meters, so 56 of them is ...
56(0.0254 m) = 1.4224 m ≈ 1.42 m
help me with this math question
Answer:
Its Answer is 13
Step-by-step explanation:
2y + 3 (x - y) + x2
PLEASE HELP ME!!!!!!!
Answer:
x=6
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
In a teacher's math course, a linear regression line was calculated to predict
a student's final exam score from the score he received on the midterm. The equation was
Y = 25.5 + 0.82 where y is the final exam score and x is the score on the midterm. AJ scored 90 on the first test. AJ actually scored 99 on his final exam. What is the value of his residual?
A. -1.5
B. 1.5
C. 95
D. 97.5
E. None of these
The given equation is the best line that approximates the linear
relationship between the midterm score and the score in the final exam.
AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. E. None of these.Reasons:
The given linear regression line equation is; [tex]\hat y[/tex] = 25.5 + 0.82·[tex]\mathbf{\hat x}[/tex]
Where;
[tex]\hat y[/tex] = Final exam score;
[tex]\hat x[/tex] = The midterm score;
AJ score in the first test, [tex]\hat x[/tex] = 90
AJ's actual score in the exam = 99
Required:
The value of AJ's residual
Solution:
By using the regression line equation, we have;
The predicted exam score, [tex]\hat y[/tex] = 25.5 + 0.82 × 90 = 99.3
The residual score = Predicted score - Actual score
∴ AJ's residual = 99.3 - 99 = 0.3
AJ's residual = 0.3
Therefore, the correct option is option E;
E. None of theseLearn more about regression line equation here:
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How many floors have exactly 24 offices?
=============================================================
Explanation:
Focus on the first row only. This involves the stem 2 and various leaves. The stem 2 refers to having a tens digit of 2. So it involves the numbers 20 through 29.
More narrowly, we're involving the values: 20, 22, 24, 24, 27, 29. Each value corresponds to exactly one leaf in that first row. For example, a stem of 2 and a leaf of 7 combine to form the number 27. Often, there will be a key at the bottom of the stem-and-leaf plot to indicate this in shorthand (eg: 2|7 means 27).
In that first row, we see the value 24 shows up twice. This means that there are 2 floors where there are 24 offices on those floors.
what is the domain and range of {(3, 6, (5, 7), (7, 7), (8, 9)} ?
Find the surface area of a box of length 6 cm, width 5 cm, and height 4 cm.
Answer:
It would i feel like its 132
Step-by-step explanation:
if I have five candies from the box containing 9 candies I ate 5/9 of all candies so 5 is what part of 9 is 3
Answer: 1/3?
Step-by-step explanation:
The wording is a bit confusing. ". . . so 5 is what part of 9 is 3 . ." seems to be missing some portion of the sentence.
You ate 5/9 of the candies. There were 9 and you consumed 5. I don't know what you are asking in " . . what part of 9 is 3." 3 is 3/9, or 1/3.
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y = 2x - 5
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (13, 21) ← 2 ordered pairs from the table
m = [tex]\frac{21-(-9)}{13-(-2)}[/tex] = [tex]\frac{21+9}{13+2}[/tex] = [tex]\frac{30}{15}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (3, 1 )
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = 2x - 5 ← equation of linear function
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in his account by the end of the summer. If there are 10 weeks in the summer, how much can Keith spend each week to have at least $200 in his account? Let x represent how much he can spend each week.
options:
x>30
x>70
x≤70
x≤30
Answer:
x≤30
Step-by-step explanation:
he can spend no more than $30 a week
wich form is more quickly to reveal the y intercept f(x)=3(x-6)^2-75 f(x)=3x^2+36x+33 f(x)=3(x+1)(x+11)
Answer:
the 2nd option
Step-by-step explanation:
the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept
No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept
slope: 3
y-intercept: (0,-2)
Can someone pleasee answer this
Plz help me, i need this done 2 get my phone back
Answer:
Step-by-step explanation:
4x = 3yz^2
4x/3y = z^2
To undo an exponent you root it.
[tex]\sqrt{4x/3y} = z[/tex]
I believe this is it. you basically just have to divide by the numbers to get z by itself. If you have any questions please comment.
Put the following equation of a line into slope-intercept form, simplifying all fractions. х - 6y = – 48 ASAP PLEASE
Answer:
y= 1/6x + 8
Step-by-step explanation:
[tex]\text{Given that,}\\\\x -6y = -48 \\\\\implies x +48 = 6y\\\\\implies y =\dfrac{x +48}6\\\\\implies y =\dfrac x6 + \dfrac{48} 6\\\\\implies y = \dfrac 16 x + 8\\\\\text{This is the slope-intercept form of the given equation(y =mx +b)}.[/tex]
Jane eats 2/3 of a cup of cereal for breakfast every day. If the box contains a total of 24 cups, how many days will i take to finish the cereal box? Show your work.
Sammie pays $30 for a bag that she buys at a discount of 50%. What is the price of the bag without the discount?
A.
$30
B.
$45
C.
$60
D.
$80
Answer:
$60
Step-by-step explanation:
because 30 is 50% percent of 60
Twice jack’s age plus 5 is 21.write and solve an equation.how old is jack
Answer:
8
Step-by-step explanation:
If j represents Jack's age, we have ...
2j +5 = 21
2j = 16 . . . . . . subtract 5
j = 8 . . . . . . . . divide by 2
Jack is 8 years old.
PLEASE HELP! A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges?
A. c = 1.25p B. p = 1.25c
C. c = 3.75p D. p = 3.75c
Please answer asap
Answer:
The answer is A
Step-by-step explanation:
$1.25*3=3.75
please help asap!!!!
Answer:
Question 2: 2/3
Question 1: 1/3
Question 3: 20
Step-by-step explanation:
Question 2: 8/4 = 2 & 12/4 = 3.
Question 1: 6/6 = 1 & 18/6 = 3.
Question 3: 10/10 = 1 & 20/10 = 2.
Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.
3(y - 2) = 3y - 6 PLZZZZZZ HELPPP
3(y - 2) = 3y - 6
3y - 6 = 3y - 6
3y - 3y = - 6 + 6
0 = 0
It has ∞ solutions.
0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.
_____
Hope it helps ⚜
Answer:
Infinitely Many Solutions
Step-by-step explanation:
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 Distribute 3.
0 = 0 Combine the like terms.
Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.
Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.
1). 4x - (2x - 15)
2). -8 + 9x (-4 + 12x)
3). 15 - 14 ( 1 + 4x )
Answer:
1). 4x - (2x - 15)=> 4x - 2x + 15
=> 2x + 15
2). -8 + 9x (-4 + 12x)=> -8 - 36x + 108x²
3). 15 - 14 (1 + 4x)=> 15 - 14 - 56x
=> 1 - 56x
Step-by-step explanation:
Hoped this helped.
Answer:
[tex]\sf 1)\: 4x-\left(2x-15\right)[/tex]
Apply Distributive property:
[tex]\sf 4x-2x+15[/tex]
Combine like terms:
[tex]\boxed{\sf 2x+15}[/tex]
_____________
[tex]\sf 2)\:-8 + 9x (-4 + 12x)[/tex]
Apply Distributive property:
[tex]\boxed{\sf -8-36x+108x^2d}[/tex]
_______________
[tex]\sf 3)\: 15 - 14 ( 1 + 4x )[/tex]
Apply Distributive property:
[tex]\sf 15-14-56x[/tex]
Subtract numbers:
[tex]\boxed{\sf 1-56x}[/tex]
_______________________________________
Translate this sentence into an equation.
76 is the product of Greg's savings and 4.
Use the variable g to represent Greg's savings.
Answer: 76 = 4g
Step-by-step explanation:
76 is the product of Greg's savings and 4 can be represented as 76 = 4g
Solve this system of equations using the Substitution Method. Don't forget to write your final answer as a coordinate point. You must show all your work.
3x + y = -2
y = 2x + 3
Step-by-step explanation:
substitute the value of y
3x+2x+3=-2 (collect like term)
5x=-2-3 (calculate the difference)
5x=-5 (both side over 5)
x=-1
i hop it helps you❤
Can you please help me with this question
Answer:
B
Step-by-step explanation:
The table that represents a function will have no x-values repeated.
A. 4 is repeated -- not a function
B. all x-values are unique -- this is a function
C. 2 is repeated -- not a function
D. 3 is repeated -- not a function
pls help me on this im stuck
Answer:
44 or B
Step-by-step explanation:
Look at comments above
20 times the difference of a number, z, and 7
Answer:
20(z-7)
Step-by-step explanation:
How does Shakespeare create an immediate mood of sadness around Romeo
Answer:
Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is
giving brainly, show work! teacher said this was wrong, specifically the sheldon calculations part, so what's the correct answer?
Step-by-step explanation:
Sheldon's brother shoveled 2/3 of the driveway
Remaining portion = 1 - ⅔
= (3-2)/3
= 1/3
Sheldon shoveled 3/4 of what was left= ¾ × ⅓
= ¼
Sheldon shoveled ¼ or 0.25 of the driveway
Ahmed shoveled ⁴/5 of half of the driveway = 4/5 × ½
= 2/5
Ahmed shoveled 2/5 or 0.4 of the driveway
0.4 > 0.25
therefore, Ahmed will have the larger area to shovel
Answer:
Ahmed shoveled more
Step-by-step explanation:
you need to do 3/4 - 2/3 which is 1/12 so the you do 1/12 x 3/4 = 3/48
compare with 4/15 and 4/15 is higher so that what you got wrong
Help me please I do not want a bot answering with a link
[tex]\text{Given that,}\\\\\text{First term,}~ a_1= -\dfrac 16\\\\\text{Common ratio,}~ r = 2 \\\\\text{nth term}~ a_n = a_1 r^{n -1} = -\dfrac 16 \left(2^{n-1}\right)[/tex]