The proportional relationship is given by y = 8.5x
Two variables are said to be proportion if an increase/decrease in one variable causes an increase/decrease in the other variable.
Let x represent the movie tickets and y represent the cost.
Since x and y are proportional, hence:
y ∝ x
y = rx
Where r is the constant of proportionality.
From the table to find x, when y = 17, x = 2, hence:
17 = 2r
r = 8,5
y = 8.5x
The proportional relationship is given by y = 8.5x
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Evaluate the expression.
{[(20−32)÷(−6)]2−11}÷(−7)
What is the value of the expression?
Enter your answer in the box.
The value of the expression is 1
From the question,
We are to evaluate the value of the expression {[(20−32)÷(−6)]2−11}÷(−7)
To do this, we will clear the brackets one after the other.
The expression can be simplified as shown below:
{[(20−32)÷(−6)]2−11}÷(−7)
{[(-12)÷(−6)]2−11}÷(−7)
Then, we get
{[2]2−11}÷(−7)
{4−11}÷(−7)
{-7}÷(−7)
-7 ÷ -7
= 1
Hence, the value of the expression is 1
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I need help with these two
Answer:
2) D
4) A
Step-by-step explanation:
y=3(x-1)
multiply
3(x-1)
then y=3x-3
y+1=4/3(x+3)
multiply 4/3(x+3)
y=4/3x+3
Answer:
1) D. y = 3x-3
2) A. y = 4/3 x+3
Step-by-step explanation:
1)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : y-(3*x-3)=0
Step 1:
Equation of a Straight Line
Solve y-3x+3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-3x+3 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000
y-intercept = -3/1 = -3.00000
Calculate the X-Intercept :
When y = 0 the value of x is 1/1 Our line therefore "cuts" the x axis at x= 1.00000
x-intercept = 3/3 = 1
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - (-3.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 6.000/2.000 = 3.000
Geometric figure: Straight Line
Slope = 6.000/2.000 = 3.000
x-intercept = 3/3 = 1
y-intercept = -3/1 = -3.00000
2)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(4/3*x+3)=0
Step 1:
Simplify 4/3
Equation at the end of step 1:
y - ((4/3 • x) + 3) = 0
Step 2: Rewriting the whole as an Equivalent Fraction
Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
3 = 3/1 = 3 · 3/3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4x + 3 · 3/3 = 4x+9/3
Equation at the end of step 2:
y - (4x+9)/3=0
Step 3:
Rewriting the whole as an Equivalent Fraction :
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
y = y/1 = y · 3/3
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
y • 3 - ((4x+9)) 3y - 4x - 9
———————————————— = ———————————
3 3
Equation at the end of step
3
:
3y - 4x - 9
——————————— = 0
3
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3y-4x-9
——————— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3y-4x-9 = 0
Equation of a Straight Line
4.2 Solve 3y-4x-9 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3y-4x-9 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000
y-intercept = 9/3 = 3
Calculate the X-Intercept :
When y = 0 the value of x is 9/-4 Our line therefore "cuts" the x axis at x=-2.25000
x-intercept = 9/-4 = -2.25000
Calculate the Slope :
Slope = 2.667/2.000 = 1.333
Geometric figure: Straight Line
Slope = 2.667/2.000 = 1.333
x-intercept = 9/-4 = -2.25000
y-intercept = 9/3 = 3
solve for x and explain
Answer:
[tex]x=22[/tex]
Step-by-step explanation:
Because [tex]\angle ABC=\angle ABD+\angle DBC=80^{\circ}[/tex], we have that [tex](2x+4)+(2x-12)=80[/tex].
Combining like terms on the left side gives [tex]4x-8=80[/tex].
Adding [tex]8[/tex] to both sides gives [tex]4x=88[/tex].
Dividing both sides of the equation by [tex]4[/tex] gives [tex]\boxed{x=22}[/tex].
what is the surface area of this design?
How do you write 3
17/
18
as a decimal?
Answer:
3 17/18 rounds up to 3.94
5. what equation passes through the 2 points
(3, 1) and (7, -3)
Answer:
Equation: y = -1x + 4
Step-by-step explanation:
In order to create an equation, you need to put it in slope-intercept form ( y = mx + b ). The best way to figure out to create your equation is to graph the points. 'Y' means the y-axis. 'mx' refers to the slope of a particular line and b is concluding where the line crosses the y-axis.
Make A the subject of the formula
r=1
А
3
Step-by-step explanation:
[tex]r = \sqrt{ \frac{А}{3} } [/tex]
[tex] {r}^{2} = \frac{А}{3} [/tex]
[tex]А = 3{r}^{2} [/tex]
HOPE IT HELPS YA
Name an angle supplementary to
Answer:
Here is your answer dear,
Step-by-step explanation:
angle AOD and angle EOC are supplementry angle
HOPE ITS HELPFUL
MARK ME AS BRAINLIST
Given: 4(-2x+1) - 2x = 44
Prove:x = -4
Statements...
1
2
3
4
5
Reasons:
1
2
3
4
5
The statement goes with the reason hopefully that makes sense please help me
Answer:
Step-by-step explanation:
Factorise
x2 + 5x - 24
Answer:
(x+8)(x-3)
Step-by-step explanation:
x2+5x-24
product 1 ×-24= -24
sum -3 and 8(x2 -3x )(+ 8x -24)x(x-3) +8(x-3)(x+8)(x-3)(0, -4) and (-1, -2)
Write the slope intercept form of the equation for f the line through the given points
Answer:
y = -2x - 4
Step-by-step explanation:
First, I'll find the slope by subtracting the y-values and x-values of each point from each other, as shown below:
(-2 - (-4))/(-1 - 0) = 2/-1 = -2
We already have the y=intercept: (0, -4). From this, we can write a y = mx + b (slope intercept form) equation, with m being our slope and b being our y-intercept. It looks like y = -2x - 4.
There is a rectangular lot in the garden, with 6 ft in length and 4 ft in width. You plan to expand the lot by an equal length around its four sides, and make the area of the expanded rectangle 48 ft^2. How long should you expand the original lot in four directions?
You should expand the original lot by…
Please type ft to represent feet.
Answer:
2 ftStep-by-step explanation:
Given:
l = 6 ftw = 4 ftExtended area = 48 ft²Extension= xFind x:
(6 + x)(4 + x) = 48x² + 10x + 24 = 48x² + 10x + 25 = 49(x + 5)² = 49x + 5 = 7x = 7 - 5x = 2(V. An aeroplane is flying parallel to the Earth's surface at a speed of 175 m/sec and at a height of 600 m. The angle of elevation of the aeroplane from a point on the Earth's surface is 37°. After what period of time does the angle of elevation increase to 53° ? (tan 53° = 1.3270, tan 37° = 0.7536)
dot on top of earth = plane position at the time of observation (right one when 37°, left one 53°)
then the geometry is zoomed on the left side
what is 3(2 - 5y) math
Answer:
-15y + 6
Step-by-step explanation:
3(2 - 5y)(3)(2) + (3)(-5y)6 + (-15y)-15y + 6Therefore, the answer is -15y + 6.
jazz sold 1/2 sack of vegetable pear and 5/2 sack of squash. how many sacks of vegetables did he sell altogether?
Answer:
Jazz sold 3(6/2)sacks of vegetables.
Step-by-step explanation:
5/2 + 1/2 = 6/2. If you convert 6/2 into a mixed number you get 3.
WILL MAKE BRAINLIEST Determine the value of x
a) 7.8
b) 4.62
c)6
d) 0.22
Answer:
I came to the answer of 6.
eugheugh eughhhh I've been listening to my comfort playlist stressing about this test for too long Please just help ;-;
Answer:
1. Incorrect because it's suppose to be -4/5, -1/10, 7/10
2. Incorrect because it's suppose to be -7/8, -3/8, -3/4
3. Correct -2/3, -5/9, 2/9
4. Incorrect because it's suppose to be -4/7, -5/14, 6/7
I need help! I don’t know this problem can you figure this out?
Hi, i am in 8th grade math and i really just need someone to explain the steps on how to slove these types of quetsions-
1. -12(k+4)= 60 (slove for k)
2, 8(3a+)=9(2a-4) (solve for a)
i dont really pay attention and im failing. this is very forgein to me it just looks ike a cluster of numbers and signals. cn you step by step expail it please i will give a brainly!
Answer:
1. k=-9
2. a=-12
Step-by-step explanation:
1. -12(k+4)=60
use distributive property
-12k-48=60
add 48 to both sides
-12k=108
divide both sides by -12
k=-9
2. 8(3a)=9(2a-4)
use distributive property
24a=18a-36
subtract 18a on both sides
6a=-36
divide both sides by 6
a=-12
What is the answer for x?
answer:
115 degrees
explanation:
1)
12x+55=23x
55=11x
5=x
2)
23(5)
115
Subtract the linear expressions. (2/5x−1)−(1/4x+2) What is the difference? Enter your answer in the box. Enter fractions as simplified fractions.
Answer:
3/20x−3
Step-by-step explanation: TOOK THE FOR K12 HOPE THIS HELPS
The difference of the given expression is 3/20 x - 3.
Given that, (2/5x−1)−(1/4x+2).
What is the subtraction of expressions?To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.
Now, (2/5x−1)−(1/4x+2)
= (2/5 x - 1/4 x) -1 - 2
= (8/20 x - 5/20 x) - 3
= 3/20 x - 3
Therefore, the difference of the given expression is 3/20 x - 3.
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5. A sculptor has a cube of marble with a volume of 1,000 cubic feet.
a. Write an equation relating s, the length of a side of the cube, and
the volume.
b. What is the length of each side of the cube?
what is the domain of h please help :(((((((
Answer:
Domain is X-values
Range is Y-VALUES
domain as follows: -7,-3, -1, 1, and 4
Range as follows: -2,7, 6, and 3
I think the domain of h is 3Step-by-step explanation:
find angle DBC !!!!!!
Answer:
50°
Step-by-step explanation:
Vladimir is looking to retire in 10 years. He has a plan to put $25,000 into an investment today that earns interest at a fixed amount per year. What would be a reasonable domain and range for a function modeling the total amount of the investment, including interest?
25 Points for the correct answer
The domain and range for a function modeling the total amount of the investment, including interest are as follows;
Domain, X = {0<= years <= 10}Range, Y (total amount) = {$25,000<= Y <= 25,000( 1 + 10R)}The starting principal amount, P is $25,000.
Let the interest rate per year, be represented as, R (%)Time of investment, T = 10 yearsIn essence, after 10 years, the total amount Vladimir has is;
Total amount = 25,000( 1 + xR).In essence, the domain (No. of years ) is;
Domain, X = {0<= years <= 10}Range, Y (total amount) = {$25,000<= Y <= 25,000( 1 + xR)}Read more:
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Which best represents the domain for Golf Galore?
A. All real numbers
B. 1 ≤ x ≤ 3
C. { 1 ,2 ,3 }
D. x ≤ 3
Answer:
explain below
Step-by-step explanation:
I think this question missed some part like the minimum and maximum reservation time (such as 1 to 3 hours), if so.. the answer is B. 1≤x≤3
dinosuar09 says:
Sooo I need help doing this math problem
3/4 is equal to what desimal
a. 0.34
b. 2.5
c. 0.75
d. 0.3
Answer:
the answer is C
Step-by-step explanation:
3/4 = 0.75
1. Sarah a 20-ounce jar of strawberry jam for $4.00. What is the unit price per ounce?
2. Julie bought a 24-ounce can of tomato sauce for $6.00. What is the unit price per ounce?
Answer:
unit price for jam= 20 cents
unit price for tomato sauce= 25 cents
Step-by-step explanation:
round 2.794 to the tenths place
17.2 x 4.6 show working out in column method
Answer:
17.02
Step-by-step explanation:
2
41
17.2
x4.6
1
1022
+6880
17.02
be sure to cross out the 41 on the second line when you start multiplying 17.2 by 4