Answer:
The height of her screen on her drawing must be 30 inches.
Step-by-step explanation:
The scale factor is obtained by dividing the drawn width by real width of the movie screen:
[tex]k = \frac{9\,in}{60\,ft}[/tex]
[tex]k = \frac{3\,in}{20\,ft}[/tex]
The drawn height of movie screen is the product of the scale factor and the real height of the movie screen:
[tex]h_{s} = \left(\frac{3\,in}{20\,ft} \right)\cdot (200\,ft)[/tex]
[tex]h_{s} = 30\,in[/tex]
The height of her screen on her drawing must be 30 inches.
Kevin went to see his favorite sports team play his car can go 320 miles on one lank of gas. If he used 20% of a full tank of gas, how many miles did he travel?
Answer:
64 miles
Step-by-step explanation:
If he used 20% of the gas, he can go 20% of the miles
20% of 320 miles
.20 * 320
64 miles
Answer:
[tex]\huge\boxed{\sf 64\ miles}[/tex]
Step-by-step explanation:
A total tank travels to 320 miles
Let the miles be x
He used 20% of the full tank
=> 20% of the full tank = x
=> [tex]\frac{20}{100} * 320 = x[/tex]
=> 2 * 32 = x
=> x = 64 miles
So, He traveled 64 miles in 20% of the tank.
URGENT! Please help me solve this question with full solutions
Answer: C) 2/3
========================================================
Explanation:
Let's cross multiply and then get everything to one side
x/(2x-1) = (2x+1)/(x+2)
x(x+2) = (2x-1)(2x+1)
x^2+2x = 4x^2-1
0 = 4x^2-1-x^2-2x
0 = 3x^2-2x-1
3x^2-2x-1 = 0 .... see note below
x^2-(2/3)x-1/3 = 0
In that last step, I divided everything by the leading coefficient 3. That way, the leading coefficient becomes 1.
It turns out that anything in the form x^2-px+q has roots m and n such that
p = m+n
q = m*n
In short, the roots add to the negative of the middle coefficient, and they also multiply to the constant term. Again this only applies to quadratics where the leading coefficient is 1.
Comparing x^2-(2/3)x-1/3 with the form x^2-px+q, we see that
p = 2/3
q = -1/3
Therefore, p = m+n = 2/3
If you're curious why this works, it's because (x+a)(x+b) expands out to x^2+(a+b)x+ab, and note how the roots here are x = -a and x = -b.
-------------------------
Note: Another route would be to solve 3x^2-2x-1 = 0 for x using any method you prefer (I recommend the quadratic formula). You would get the two solutions x = -1/3 and x = 1. They add to (-1/3)+1 = (-1/3) + (3/3) = (-1+3)/3 = 2/3.
PLZ ANSWER ASAP. DUE IN 1 HOUR. DIRECTIONS ARE ON THE SCREENSHOT
Answer:
DBH is an obtuse angle.
Step-by-step explanation:
D is around the 15 degree mark. h is around the 144 degree mark. Subtract 15 by 15 and 144 by 15 degrees, so that way angle D would be on the 0. You would get 129 degrees, which still makes it obtuse because is greater than 90 degrees
I hope this helps
Complete the explanation for why 2−3 is the same as 1 23 . Look at the pattern below. As the exponent goes down by , the value is of what it was before. 23 = 8, 22 = 4, 21 = 2, 20 = 1, x−x = 1 2 , x−x = 1 4 , x−x = 1 8 = 1 23
[tex]2^{-3}[/tex] is the same as [tex]\frac{1}{2^3}[/tex] because of the rule [tex]x^{-k} = \frac{1}{x^k}[/tex]
The negative exponent says to take the reciprocal of the base to make the exponent positive. The original base is 2, of which the reciprocal is 1/2.
15 - [10 + (3 - 2)2] + 6
Answer:
9
Step-by-step explanation:
Use PEMDAS
Parentheses (Bracketts go after parentheses but are not included in PEMDAS)
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
3
Step-by-step explanation: 15-(10+(3-2)2)+6
3-2=1x2=2+10=12 15-12=3
One month Abdul rented 3 movies and 5 video games for a total of . The next month he rented 6 movies and 2 video games for a total of $18 . Find the rental cost for each movie and each video game.
Answer:
Video Games = $5.25
Movies = $1.25
Step-by-step explanation:
(3x + 5y = 30)2
6x + 2y = 18
Video Games (y) = 5.25
6x + 10y = 60
- 6x + 2y = 18
(8y)/8 = (42)/8
6x + 2(5.25) = 18
6x + 10.5 = 18
6x = 7.5
x = 1.25
Double Check by plugging in the numbers
please help me its due soon
Answer:
it is 17.2 + 16.4
Step-by-step explanation:
because 8.6x2= 17.2
then 5.2x2=10.4
then 3+3=6
lastly 10.4+6= 16.4
so that makes it 17.2+16.4
What is the value of y? Find the following angle measures. m
Answer:
10
Step-by-step explanation:
(10y+6) + (8y-6) =180
18y=180
y=10
JKM=10y+6=10(10)+6=106
MKL=8y-6=8(10)-6=74
Answer:
Step-by-step explanation:
10y+6+8y-6=180
then,y=10
therefore,
angle(JKM)=106
angle(MKL)=74
Can anyone Help please.
Answer:
D
Step-by-step explanation:
The remaining material can be calculated as
volume of larger cube - volume of smaller cube
= a³ - b³ ← difference of cubes which factors in general as
= (a - b)(a² + ab + b²) → D
Find three consecutive numbers whose sum is 84.
You need 3 numbers, divide the total by 3:
84/3 = 28
This is the middle value.
Now you use the one lower and the one higher:
27 + 28 + 29 = 84
The numbers are 27, 28, 29
Answer: 26, 28, 30
Step-by-step explanation:
26, 28, and 30 follow each other in consecutive order without haps of more than two and are arranged smallest to largest.
Using the remainder theorem, which quotient has a remainder of 20?
OA (3r4 – 573 + 5x + 2) = (x - 2)
O B. (3r3 + 702 + 5x + 2) = (x - 2)
Oc. (13 + 5x2 4r + 6) = (x + 5)
OD. (74 – 812 + 16) = (x + 4)
Answer:
The answer is A. (3x^4-5x^3+5x+2) =(x-2)
Step-by-step explanation:
we see that the polynomial that gives the remainder as 20 is
(3[tex]x^{4}[/tex] - 5x³ + 5x + 2) ÷ (x - 2)
Option A is our correct answer.
What is the remainder theorem?The remainder theorem states that when a polynomial p(x) is divided by
(x - a), then the remainder = f(a).
We have,
(3[tex]x^{4}[/tex] - 5x³ + 5x + 2) ÷ (x - 2) ____(1)
We can directly find the remainder as:
x - 2 = 0
x = 2
Putting x = 2 in (1) we get,
= 3 x 16 - 5 x 8 + 5 x 2 + 2
= 48 - 40 + 10 + 2
= 20
The remainder is 20.
(3x³ + 7x² + 5x + 2) ÷ (x - 2) ) _______(2)
x - 2 = 0
x = 2
Putting x = 2 in (2) we get,
= 3 x 8 + 7 x 4 + 5 x 2 + 2
= 24 + 28 + 10 + 2
= 64
The remainder is 64.
(x³ + 5x² - 4x + 6) ÷ (x + 5) ______(3)
x + 5 = 0
x = -5
Putting x = -5 in (3) we get,
= - 125 + 5 x 25 - 4 x (-5) + 6
= -125 + 125 + 20 + 6
= 20 + 6
= 26
The remainder is 26.
([tex]x^{4}[/tex] - 8x² + 16) ÷ (x + 4) _______(4)
x + 4 = 0
x = -4
Putting x = -4 in (4) we get,
= 256 - 8 x 16 + 16
= 256 - 128 + 16
= 144
The remainder is 144.
Thus we see that the polynomial that gives the remainder as 20 is
(3[tex]x^{4}[/tex] - 5x³ + 5x + 2) ÷ (x - 2)
Option A is our correct answer.
Learn more about the remainder theorem here:
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2,568 + (-1,452) pls help me asap !!! we are doing adding rational numbers
Answer:
1,116
Step-by-step explanation:
2568 + ( - 1452)
= 2568 - 1452 ( because + × - makes -)
= 2568 - 1452
= 1,116
Answer:
the answer is 1116 I hope it's right
Determine the slope of the line passing through the points (9,8) and (1,3).
slope =
Answer:
5/8
Step-by-step explanation:
slope: (y₂ - y₁) / (x₂ - x₁)
(3 - 8) / (1 - 9) = -5/-8 = 5/8
Answer:
m= 5/8
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The points given are: (1,3) and (9,8). Therefore,
[tex]x_{1}=1 \\y_{1}=3 \\x_{2}=9 \\y_{2}=8[/tex]
Substitute the values into the formula.
[tex]m=\frac{8-3}{9-1}[/tex]
Perform the operation in the numerator. Subtract 3 from 8.
[tex]m=\frac{5}{9-1}[/tex]
Perform the operation in the denominator. Subtract 1 from 9.
[tex]m= \frac{5}{8}[/tex]
The slope of the line is 5/8
What is being constructed based in the markings in the following diagram?
Answer:
Perpendicular line through a point off a line
Step-by-step explanation:
Based on the markings in the diagram, we have;
Marking points E and F along AB extended forms two points equidistant from the point C on the line AB
Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.
Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB
Hence the correct option is the construction of a perpendicular line through a point off a line.
Answer:
C. Perpendicular line through a point off a line (its off not on) Took the test and got it right
Step-by-step explanation:
You are skiing down a mountain with a vertical height of 800 feet. The distance from the top of the mountain to the base is 1600 feet. What is the angle of elevation from the base to the top of the mountain?
Answer:
θ = [tex]30^{0}[/tex]
Step-by-step explanation:
Since the vertical height of the mountain is 800 feet, and the distance from the top to its base is 1600 feet. Let the angle of elevation be represented by θ, applying the required trigonometric function;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin θ = [tex]\frac{800}{1600}[/tex]
= 0.5
θ = [tex]Sin^{-1}[/tex] 0.5
θ = [tex]30^{0}[/tex]
Thus, the angle of elevation from the base to the top of the mountain is [tex]30^{0}[/tex].
Find the Greatest Common Factor between 42 and 45
Answer:
3
Step-by-step explanation:
The Greatest Common Factor between 42 and 45 is 3.
What is The Greatest Common Factor (GCF)?Greatest Common Factor of two or more numbers is defined as the largest number that is a factor of all the numbers.
Given two numbers are 42 and 45,
42 = 7*2*3
45 = 5*3*3
GCF = 3
Hence, The Greatest Common Factor between 42 and 45 is 3.
For more references on Greatest Common Factor, click;
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There are not asymptotes for the parent function
f (x) =1/x
True
False
Answer:
True
Step-by-step explanation:
the parent function f(x) = 1/x has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0
Jon borrows $4.50 from his friends to pay for snacks, and $13.65 from his sister to go to the movies. How much money does he reed to repay?
Answer:
$18.15
Step-by-step explanation:
LM has one endpoint
L(-2,-9) and a midpoint
P(3,2). Find the
coordinates of the
other endpoint, M.
Thank you!
Answer:
coordinate of M (8,13)
Step-by-step explanation:
LM has L(-2,-9), P(3,2) mid point of LM
coordinate of mid point= x=x1+x1/2 and y=y1+y2/2
x1=-2 , x2 is the x of point M
xof P= (-2+x2)/2
3(2)=-2+x2
6=-2+x2 ⇒ x2=6+2=8
y of P= y1+y2/2
2=-9+y2/2
y2=2(2)+9⇒ y2=13
coordinate of M (8,13)
Can someone please tell me how to simplify [tex](2r^2t/4t^2)^2[/tex], please?
the sum of a number and -43 is 102.what is the number
Answer: 145
Step-by-step explanation:
Answer: 145
Step by step explanation:
The question i’m asking is if you can help me get 2 equations that if you type on a graph you will get the point (2,5)
Answer: The equations are y = 4x-3 and y= 3x -1
Step-by-step explanation:
So lets say both equations will have positive slopes. Using that, we can input any slope and solve for the y intercept using the coordinates.We will use the formula, y=mx + b where m is the slope and b is the y-intercept
Let's say the slope is 3.
5 = 3(2) + b
5= 6 + b
-6 -6
b= -1
We can now come up with the equation, y= 3x -1
We need to find another equation that will intersect with it at the point (2,5)
For lines to intersect, they need to have different slopes and different y-intercepts.
We need to come up with a new slope, the slope of the second equation could be 4. Now using the formula, use the coordinates so solve for the y intercept.
5= 4(2) + b
5 = 8 + b
-8 -8
b = -3
The equation will be y = 4x -3
We now have the equations y=4x -3 and y = 3x -1
To find that their solution is (2,5) substitute one of the y-values into the other and solve for x then solve for y.
4x -3 = 3x -1
+3 +3
4x = 3x + +2
-3x -3x
1x = 2
x = 2
We know now that the value of x is true because the value of x is 2.Input it into one of the equations and solve for y.
y = 4(2) - 3
y = 8-3
y = 5
The solution is indeed (2,5) .
WILL GIVE BRIANLIEST!!!!!!!!!!!!!!!!!!!!! picture down below ↓↓↓↓↓↓
Answer:
C
Step-by-step explanation:
A and c are parallel
B and d are parallel
A and c are intersecting
Solve this equation. 2(3x+5)=4(2x-3)
Answer:
x = 11Step-by-step explanation:
2(3x+5) = 4(2x - 3)
First expand the terms
That's
6x + 10 = 8x - 12
6x - 8x + 10 = - 12
- 2x + 10 = - 12
Subtract 10 from both sides
That's
- 2x + 10 - 10 = - 12 - 10
- 2x = - 22
Divide both sides by - 2
We have the final answer as
x = 11Hope this helps you
63001 square root by division method
Answer:
this is a correct answer
Each expression with the appropiate property:
Answer:
it denotes distributive property of multiplication over addition
distributive property of multiplication over addition. The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.
Sarah has a wooden board that is 12 feet long. If she cuts three 28-inch pieces from the board, how many inches of board will she have left?
Answer:
60 inches
Step-by-step explanation:
12 feet=144 inches
28in x 3 = 84
144-84= 60
Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.
What do we mean by conversion of units?The conversion of units is the process of converting a quantity between multiple units of measurement, usually using multiplicative conversion factors.
What are the conversion factors between inch and foot?The conversion factor between inch and foot are:
1 foot = 12 inches,
or, 1 inch = 1/12 feet.
How do we solve the given question?We are informed that Sarah has a wooden board that is 12 feet long.
We are asked that if she cuts three 28-inch pieces from the board, how many inches of the board will she have left.
To solve the problem, we convert the length of the wooden board from feet to inches.
The board is 12 feet long. We know 1 foot = 12 inches.
∴ 12 feet = 12*12 inches = 144 inches.
∴ Length of the board = 144 inches.
Size of the piece cut by Sarah = 28 inches.
She cuts 3 such pieces,
∴ Total piece of board cut = 3*28 inches = 84 inches.
∴ Length of the board Sarah is left with = Total length of the board - Total piece cut from the board = 144 - 84 inches = 60 inches.
∴ Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.
Learn more about the conversion of units at
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Four-thirds (x) minus one-third = 9. Four-thirds (x) minus one-third + one-third = 9 + one-third. Four-thirds (x) = StartFraction 28 over 3 EndFraction
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{3}x - \frac{1}{3} = 9[/tex]
Required
Solve for x
[tex]\frac{4}{3}x - \frac{1}{3} = 9[/tex]
Add [tex]\frac{1}{3}[/tex] to both sides
[tex]\frac{4}{3}x - \frac{1}{3} + \frac{1}{3} = 9 + \frac{1}{3}[/tex]
[tex]\frac{4}{3}x = 9 + \frac{1}{3}[/tex]
Take LCM
[tex]\frac{4}{3}x = \frac{27 + 1}{3}[/tex]
[tex]\frac{4}{3}x = \frac{28}{3}[/tex]
Multiply both sides by [tex]\frac{3}{4}[/tex]
[tex]\frac{3}{4} * \frac{4}{3}x = \frac{3}{4} *\frac{28}{3}[/tex]
Evaluate the left hand side
[tex]x = \frac{3}{4} *\frac{28}{3}[/tex]
[tex]x = \frac{28}{4}[/tex]
Divide 28 by 4
[tex]x = 7[/tex]
Answer:
x=7 we are both correct
Step-by-step explanation:
Sam takes the bus 3/5 of the distance from home to school. He then walks one block to his friends house and rides with the friend the remaining seven blocks to school. What fractional part of the trip did he ride with his friend?
Answer:
2/5
Step-by-step explanation:
3/5 + ____ = 5/5
2/5
Determine the value of g-1(4).
help with this plz
Answer:
g-1(4)=-5
Step-by-step explanation:
because inverse mean that you will switch every x and y on the original graph
for example; point( 4,-2) inverse will be (-2,4)
so to find x=4 on the inverse than just find y=4 on the origin graph