State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation. The cost of dinner is $42 for three people and $98 for seven people
Answer:
144
Step-by-step explanation:
The independent variable in the linear relationship is the number of people.
The dependent variable in the linear relationship is the cost of the dinner.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost of dinner for 3 people = $42
Cost of dinner for 7 people = $98
The cost of dinner for one person = $14
Now,
The linear function for this relationship.
f(x) = 14x
Where x is the number of people and f(x) is the cost of the dinner.
Now,
The number of people is the independent variable.
The cost of dinner is the dependent variable.
Thus,
Independent variable = Number of people/
Dependent variable = Cost of the dinner.
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Parents getting divorced please help and you'll get the brainlliest
Answer:
C
Step-by-step explanation:
I hope this helps!! Feel better
100 points
whats 9 times 3 plus 3 divided by 2
Answer:
hi
Step-by-step explanation:
28.5
Answer:
15
Step-by-step explanation:
Find the inverse of the linear function.
anyone pls?
Answer:
A
Step-by-step explanation:
inverse means flipping the signs and the numbers of the function
Answer: x - 10/5 = y
Factor completely: 125 x cubed space plus space 343
Answer:
(5x+7)(25x^2-35x+49)
Step-by-step explanation:
Not really an explanation for factoring, but I'm sure it's right.
Write 33 x V3
as a
single power of 3.
Answer:
555555
Step-by-step explanation:
The perpendicular bisectors of AABC intersect at point
G. Find the length of BG.
B
Answer:
[tex]\overline{GB}[/tex] = 9
Step-by-step explanation:
The given parameters are;
The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G
Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;
[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property
∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Therefore;
ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency
[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)
[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency
∴ [tex]\overline{GB}[/tex] = 9.
Help will mark Brainliest
Answer:
Step-by-step explanation:
x = (20 + 12)/2
x = 32/2
x = 16
Answer:
17
Step-by-step explanation:
CAN YOU HELP ME thank you 10pts
9514 1404 393
Answer:
m∠CAB = 62°
m∠CBG = 114°
Step-by-step explanation:
Given:
the above figure
Find:
What are the measures of angles CAB and CBG
Solution:
The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.
So, angle CBE = 150° -84° = 66°
Angle CBG is the supplement of this, so is ...
m∠CBG = 180° -66° = 114°
That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...
m∠CAB = 114° -52° = 62°
0.5 e + 20= 25
solving equations
Answer:
e = 10
Step-by-step explanation:
Simplifying
0.5e + 20 = 25
Reorder the terms:
20 + 0.5e = 25
Solving
20 + 0.5e = 25
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 0.5e = 25 + -20
Combine like terms: 20 + -20 = 0
0 + 0.5e = 25 + -20
0.5e = 25 + -20
Combine like terms: 25 + -20 = 5
0.5e = 5
Divide each side by '0.5'.
e = 10
Simplifying
e = 10
Answer:
e = 1
Step-by-step explanation:
0.5e + 20 = 25
0.5e = 5
e = 1
You subtract 20 from 25 to get 5. Then you divide 5 by 5 to get e = 1
pls give brainliest!!
What are the excluded values of x for
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The excluded values are x = - 2, x = 9
How does anyone know how to prove parallel lines, especially when there are two pairs of them?
Answer:
Step-by-step explanation:
If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.
Saul and Raul had a bag of marbles. Raul selected 7 / 12 of the
marbles. Saul selected 3/12 of the marbles. What fraction of the marbles
did the boys select?
Answer:
The answer is 5/6
Step-by-step explanation:
7/12 + 3/12 = 10/12
10/12 = 5/6 ( divide the numerator and denominator by 2)
help me plzzzz and fast
Answer:
A D
Step-by-step explanation:
Since it is a one time fee of 55$, that will be our y intercept.
That allows A and D and F possible answers.
It says 10$ per puzzle and they spent 1245$
So A and D are answers.
Twice a number n decreased by seven (ez points for ez question so answer )
simplify!!
6x - 2+7x
Answer:
13x-2
Step-by-step explanation:
Answer:
13x - 2
Step-by-step explanation:
6x - 2 + 7x
13x - 2
-4y - 20 +19= -y + 17
2. Solve for y
i posted the same question but they didn’t tell me how they got it so could someone show me how they got the answer pleaseee
Answer:
y= -6
Step-by-step explanation:
-4y - 20 + 19 = -y + 17 *add y on the right to get rid of -y
+y +y then add it to -4y
-3y - 20 + 19 = 17 *add 20 to the left to get rid of -20
+20 +20 then add it to 17
-3y + 19 = 37 *subtract 19 from the left to get rid of 19
-19 -19 then subtrcat 19 from 37 as well
-3y = 18 *now we want to divide both sides by -3 to
-3 -3 get y by it's self
y = -6 *no we're left with y = -6 :D
- im sorry if this doesn't make sense x(
Find the value of X
7/x-10 = 3/6
Answer:
2/3
Step-by-step explanation:
7/x -10 = 3/6
7/x =3/6 +10
7/x = 63/6
42 = 63x
x = 42/63 or 2/3
Answer:
2/3
Step-by-step explanation:
I need help on this question
Answer:
5 square feet
Step-by-step explanation:
First, you need to convert the inches into feet
24: 2
30: 2.5
2*2.5= 5
So it is 5square feet
Emir and his family ordered a meal that cost $50. Emir paid 8% sales tax and left an 18% tip on $50. What was the total cost?
Answer:
$63.00
Step-by-step explanation:
Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.
Your equations look like this:
Tip equation: .18 * 50 = $9.00
Tax equation: .08 * 50 = $4.00
Then you just add them all up to get the total, and you get,
9+4+50 = 63
help me its an algebra 2 question 2. John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
A. 1 hour 12 minutes
B. 1 hour 15 minutes
C. 1 hour 20 minutes
D. 1 hour 30 minutes
E. 1 hour 35 minutes
Answer:
A
Step-by-step explanation:
John can mow the same lawn in 3 hours.
In 1 hour he can mow 1/3rd of the lawn.
In 1 hour they can together mow (1/2+1/3)=5/6th of the lawn.
Together they can mow the lawn in 6/5 hours=1.2 hours.
I hope this helped, please mark Brainliest, thank you!!
Time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.
The correct option is (C).
What is a algebra ?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Given:
John can mow his lawn in 3 hours.
Julie can mow same lawn in 2 hours.
In 1 hour = 1/3rd of the lawn.
In 1 hour, together they can mow
= (1/2+1/3)
=5/6th of the lawn.
Hence, time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.
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Cause I do
in a school, the number of boys is 9 more than thrice a number of girls. if the total role of class is 60. what is the total role of girls .
A coach travels to the beach which is 576 KM away in 6 hours. If he is only allowed to travel at a maximum speed of 90 kph, did the coach break the speed limit? What was his average speed?
Answer:
Yes
Step-by-step explanation:
576Km:6Hrs
576 divided by 6=96 km
6 divided by 6=1
96km:1hr
96 was the coaches speed limit
km=Kilometers
Hrs=Hours
96>90
yes , the coach break the speed limit and the average speed is 96 km ph
What is Speed?Speed is the time rate at which an object is moving along a path
Given,
A coach travels to the beach which is 576 KM away in 6 hours.
The maximum speed he can travel is speed of 90 kph
We need to check whether the coach breaks the speed limit or not.
Yes he has to break the speed limit because in 6 hours with 90kph he can travel only 540 km. He still needs to travel 36 km.
and the average speed he has to maintain is 576/6
96kmph
Hence, yes the coach break the speed limit and the average speed is 96 km ph
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A group of people planned to go to the amusement
park. Adult tickets are $45.00 and child tickets are $20.
There are two adults in the group. If the budget for the
trip is $600, what is the greatest number of children
that can attend.
Answer:the greatest amount of children that can go is 30
Step-by-step explanation:
$20 x 30= $600
Please answer!!! Will mark brainiest!!
Answer:
I think it is D. 9/15 * 14/20
9514 1404 393
Answer:
C. 3/10 * 2/5
Step-by-step explanation:
3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.
2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.
The area of overlap is 6 of the 50 small boxes, so represents the product ...
3/10 * 2/5 = 6/50
if triangle GHI is equilateral and JHK is isosceles, what is the measure of JHK
Answer:
The measure of JHK is 25 degrees
Step-by-step explanation:
If GHI is equilateral, it means each of the angles are equal to 60 degrees
Thus;
7x - 31 = 60
7x = 60 + 31
7x = 91
x = 91/7
x = 13 degrees
The measure of JHK IS x + 12
simply insert the value of x here
Angle JHK = 13 + 12
Angle JHK is 25 degrees
Answer: 25
Step-by-step explanation:
Given that sin θ = 3/4 and θ is in Quadrant II:
Find cos θ.
this is for the Sin
*Remember that sin = opposite / hypotenuse*
a² + b² = c² (where a and b are legs and c is the hypotenuse)
From the picture, you can see:
a = 3
c = 4
Plug these into the equation and solve for b.
* a² + b² = c² *
step 1: 3² + b² = 4²
step 2: 9 + b² = 16
step 3: b² = 16 - 9
step 4: b² = 7
step 5: √(b²) = √7
step 6: b = ± √7
FOR COS:
From the picture, you can see that if θ is in quadrant II, b has to be negative.
b = -√7 = adjacent
Remember that cos θ = adjacent / hypotenuse.
cos θ = adjacent / hypotenuse
cos θ = (-√7 / 4)
first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3
Answer:
y-y1 = m(x-x1)
y - 2 = 3(x-1)
y=3x-3+2
y=3x-1
Step-by-step explanation:
first you type down point slope formula
then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope
then you have to distribute the 3 to the x and the -1 and then isolate y
(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other
then you combine like terms 3x is alone and -3 +2 equals -1
there is your answer hope that works.
Look at picture please !! I really need help thank you !
Answer:
h (1,2), w (3,4), y (6,0)
Step-by-step explanation:
Reflecting across y-axis means only changing the x -value between negative and positive. Flipping the sign