Answer: 4.27
Step-by-step explanation: I used a calculator.
A car uses a gallon of gas for every 45 miles driven. Identify the
independent and dependent variables of this situation.*
O Dependent: miles; Independent: gallons
O Dependent: gallons, Independent: miles
Dependent: miles, Independent: hours
O Dependent: cars, Independent: gallons
Answer:
O Dependent: miles; Independent: gallons
Step-by-step explanation:
An independent variable is one which can stand alone. Its values is not affected(gets changed) by change in other variable.
Example : your age
value of your age will not change in other factor like how much you run, sleep etc.
A dependent variable is one which cannot stand alone. Its values gets affected(gets changed) by change in other variable.
Example : weight: weight of human is dependent on food you eat and hence more you eat more is the chance of weight being increased.
hence, weight is dependent variable.
_______________________________________________________
Given
A car uses a gallon of gas for every 45 miles driven.
thus, there are two variable, which as identified is
miles and gallons
given that
in 1 gallon , car gets driven 45 miles
so if there are n gallons car will get driven 45*2 = 90 miles
in there are n gallons, car will get driven 45*n= 45n miles
hence , miles is dependent on no of gallons hence
miles is dependent variable.
thus, we see there is relationship between miles and gallon as
miles = 45n, where n is the no of gallons
here no of gallons is independent variable as its value can stand alone, its value does not change with miles.
hence
gallons is independent variable.
thus,
correct choice is
O Dependent: miles; Independent: gallons
The sum of three consecutive number is 54
Find the first two
number.
a = 17
b = 18
c = 19
Step-by-step explanation:Hi there !
a + b + c = 54
b = a + 1
c = a + 2
replace b ; c
a + (a + 1) + (a + 2) = 54
3a = 54 - 3
3a = 51
a = 51 : 3
a = 17
b = 18
c = 19
Good luck !
Help please?????.thank you
Write an equation of the line in slope-intercept form f(0)=2,f(2)=4
Answer: y=2x-2
Step-by-step explanation: First you plot those two points and make a line, then find the rest below. Slope formula is y=mx+b. M is the slope, rise over run, which is 2, and b is the y-intercept, where it meets the y-axis, which is -2.
A sweater is on sale for 10% off. It is normally priced $50. What is the new price of the sweater
Which linear equation is best represented by the graph?
Answer:
y=2/3x-2
Step-by-step explanation:
A linear equation is in the form of y=mx+b
You need to find the slope and y-intercept.
The slope is 2/3 Up 2, over 3 to the right.
The y-intercept is (0,-2)
So the equation would be, y=2/3x-2
Hope this helps :)
The perimeter of the square kitchen floor measures 48 feet what is the area of the kitchen floor
Answer:
the answer is 144 feet
Step-by-step explanation:
to find the how long each sides of the square is divide 48 by 4 (because that's how many sides there are on a square). by doing that you get 12
to find the area of the square you do A= lw which in this case it would look something like this:
A= 12(12) you use 12 twice because square sides are always equal
then you multiply which gives you A= 144
Mr. Bell wants to plant a rectangular garden in his backyard. He has 100 feet of fence to
enclose his garden. He wants the length to be 5 feet more than the width. What are the
dimensions, in feet, of the garden?
What is the total LENGTH in feet?
Answer:
The dimensions of the garden are 22.5ft by 27.5ft
Step-by-step explanation:
Here, we want to calculate the dimensions of the garden.
let the length be x ft
we are told that the he wants the length to be 5 feet more than the width;
That means the width will be (x-5) ft
Mathematically;
Since the shape is rectangular, the perimeter will be 2( l + w)
Thus; 2(x + x-5) = 100
2(2x-5) = 100
divide both sides by 2
2x-5 = 50
2x = 50 + 5
2x = 55
x = 55/2
x = 27.5 ft
The width is thus; 27.5ft - 5ft = 22.5ft
the dimensions of the garden are 27.5 ft by 22.5 ft
What is an equation in slope intercept form of a line that passes through points (0,5) and (4,0)
Answer:
y = -5/4x + 5
Step-by-step explanation:
If you use rise/run it rises down 5 and runs to the right 4, therefore your slope is -5/4x and for your Y-intercept its 5 because (0,5) is already on the Y-axis, so your answer is y = -5/4x + 5
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{0-5}{4-0} \\m=\frac{-5}{4} \\m=-\frac{5}{4}[/tex]
Therefore the slope is m = -5/4
Find the equation
Let [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Substitute m = -5/4 in the equation,
[tex]y=-\frac{5}{4}x+b[/tex]
Substitute any ordered pairs that are given. I'll use (4,0) instead.
Substitute y = 0 and x = 4
[tex]0=-\frac{5}{4}(4)+b\\ 0=-5+b\\5=b\\[/tex]
Thus, the y-intercept is 5 (b is 5)
Therefore, the equation is [tex]y=-\frac{5}{4}x+5[/tex] #
What are the factor of these numbers,
8
2x
5ab
12z
20xy
Can someone answer this? I need it now. Thanks
6th grade. A chef uses a recipe with the following ingredients. Then the chef decides to make more than 1 batch of the recipe.
Fruit
Cups Used
Apples
5
Mangoes
3
Blueberries
2
Blackberries
1
If a total of 30 cups of mangoes and blueberries are used, how many batches of the recipe did the chef make?
If P=2L+2W, solve for W.
Answer:
W = (P-2L)/2
Step-by-step explanation:
Isolate W
P = 2L + 2W
subtract 2L from each side
P - 2L = 2W
divide each side by 2
(P-2L)/2 = W
how many people can he invite for 29.04?
Answer:
im gonna need more info
Step-by-step explanation:
Which value of n makes this equation true?
3n + 3/5 = 5n-1/9
A.
n=-16
B.
n=-2
c.
n= 2
D
n = 16
The value of n makes this equation true is -16.
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.
WE have been given an expression as;
3n + 3/5 = 5n-1/9
Combine the like terms;
3n + 3/5 = 5n-1/9
3n - 5n = -3/5 -1/9
-2n = -27 - 5 / 45
n = -16
The value of n makes this equation true is -16.
Learn more about finding the solution here:
https://brainly.com/question/26254258
#SPJ2
H is the circumcenter, or point of concurrency, of the perpendicular bisectors of ΔACE.
Triangle A C E is shown. Point H is the circumcenter of the triangle. Lines are drawn from each point of the triangle to point H. Lines are drawn from point H to the sides of the triangle to form right angles. Line segments H B, H F, and H D are formed.
Which statements must be true regarding the diagram?
Answer:
∠HDC ≅ ∠HDE, AB ≅ BC, HC ≅ HE
Step-by-step explanation:
yup
The circumcenter describes the point of intersection of three perpendicular bisectors. Any point on the perpendicular bisector is equidistant from the endpoint of the segment. Hence, the true statements are :
HC ≈ HE∠HDC ≈ ∠HDEAB = BCThe intersection point H is equidistant from the vertices of the triangle A, C and E
Therefore, HA ≈ HC ≈ HE ; Hence, the expression ;
HC ≈ HEB is the midpoint of the line AC ; Hence, using the midpoint rule ; AB = BC
∠HDC ≈ ∠HDETherefore, only the three statements are true.
Learn more :https://brainly.com/question/16257505
Brian scored 1/10 of the points at his basetball state championship game and joe scored 1/4 of the points together they scored 21 points write an exuation to represent the situation what was the total numbers the team scored? ~PLEASE HELP ASAP!~
Answer:
x/10 + x/4 = 21 /*40
4x + 10x = 840
14x = 840
x = 60 = total number of points the team scored
Add the following fractions 2/10 + 6/10
Answer:
8/10
Step-by-step explanation:
add the numerator but keep the denominators the same
you could also simplify to 4/5
Answer:
2/10 + 6/10
= 8/10
=4/5
Therefore the answer is 4/5
To make 5 gallons of cleaning solution, 3 cups of bleach is mixed in with water.
Which table shows the relationship between the gallons of cleaning solution made and the cups of bleach used?
Answer:
Option B.
Step-by-step explanation:
Let 'g' represent the number of gallons of cleaning solutions.
Let 'c' represent the number of cups of bleach.
From the question given above, we were told that:
To make 5 gallons of cleaning solution, 3 cups of bleach is mixed in with water.
This implies that number of gallons (g) of the cleaning solution is directly proportional to the number of cups (c) of the bleach mixed with water i.e
g ∝ c
g = Kc
K is the constant of proportionality.
Next, we shall determine the relationship between g and c as follow
g = 5
c = 3
K =?
g = Kc
5 = K × 3
Divide both side by 3
K = 5/3
g = Kc
K = 5/3
g = 5/3 c
Thus, the relationship between g and c is:
g = 5c / 3
Next, we shall make c the subject of the formula. This is illustrated below:
g = 5c / 3
Cross multiply
3g = 5c
Divide both side by c
c = 3g/5
Next, we shall determine c when g = 10, 15, and 20.
This is illustrated below:
g = 10
c =?
c = 3g/5
c = (3 × 10)/5 = 30/5 = 6
g = 15
c =?
c = 3g/5
c = (3 × 15)/5 = 45/5 = 9
g = 20
c =?
c = 3g/5
c = (3 × 20)/5 = 60/5 = 12
Summary:
Num. of gallon (g) >> Num. of cup (c)
5 >>>>>>>>>>>>>>>> 3
10 >>>>>>>>>>>>>>> 6
15 >>>>>>>>>>>>>>> 9
20 >>>>>>>>>>>>>>> 12
Therefore, option B gives the correct table.
Scott correctly writes each fraction below as a decimal. Will the decimal Scott writes for each fraction terminate or repeat?
Answer:
It will terminate according to the rules of math
Step-by-step explanation:
3+4=7
5+3=15
2+6=23
4+7=?
Answer:
get a better math teacher
Solve for x
9 (x +2) < 3(3-5)
Step-by-step explanation:
9x+18 < 9-15
1)9-15= -6
9x+18 < -6
9x+18= -5
9x= (-5) - 18
9x= -23
x= 23/9=2 5/9
X=2,55556
Simplify (5.2 -4.5) - 5.5 + 4.8
Answer:
She moved the parentheses in step 2!
Step-by-step explanation:
(5.2-4.5)-5.5+4.8 Solve inside the parentheses first.
0.7-5.5+4.8 Solve in order
-4.8+4.8=0
a box of 15 cookies cost $9
what is the cost for 1 cookie
Cost of 15 cookies = $9
Cost of one cookie :-
[tex] = \frac{9}{15} [/tex]
[tex] = 0.6[/tex]
Therefore , the cost of one cookie is $ 0.6 .
Help, please! I will be very grateful for it!
Answer:
D. y=2/3x+4
Step-by-step explanation:
4 is the y-intercept, and the line goes up 2 on the y-axis for every 3 it goes up on the x-axis.
365-380= please help me
Answer:
-15
Step-by-step explanation:
Please answer worksheet 50 points!! And I’ll mark brainliest
Answer:
Whoops that you didn't add the worksheet but thanks for the points anyways?
Step-by-step explanation:
Hope you have a good day though. :)
Select the graph that shows the correct sum.
Answer:
B
Step-by-step explanation:
it has to show (f+g)(x)
Answer:
Its B
Step-by-step explanation:
Edge 2020
Blake knows that one of the solutions to x2 – 6x + 8 = 0 is x = 2. What is the other solution?
x = –6
x = –3
x = 4
x = 8
It takes you 7 minutes to do 2 math problems. How long will it take you to do one of Mr. Bruno’s homework assignments with 27 questions?
Answer:
94.5 minutes or 1 hour and 34.5 minutes
Step-by-step explanation: If it takes you 7 minutes for 2 math problems then that means it takes you 3.5 minutes for one problem. Then you multiply it by 27 and you get 94.5 minutes you can convert it into 1 hour and 34.5 minutes if you want.
Help pls
8 + 6x = -4
Answer:
x=-2
Step-by-step explanation:
Answer:
x= -2
Step-by-step explanation:
Hope this helps you Please give me the brainless