Answer:
9/70
Step-by-step explanation:
Mathematically;
Average rate of change on an interval [a,b] is;
f(b) - f(a)/b-a
f(0) = -3/5
f(3) = -3/14
a = 0
b = 3
Making the substitution, we have
-3/14-(-3/5)/3-0
= 3/5-3/14/3
= (42-15)/70/3
= 27/70/3
= 27/70 * 1/3 = 9/70
A tank of diesel fuel contains 210 gallons. Every week, 5 gallons is used. A tank of gasoline contains 430 gallons. Every week, 16 gallons is used. After how many weeks will they have the same amount of fuel? How much fuel will each tank hold on that day?
Answer:
After 20 weeks both tanks have the same amount of fuel.
Diesel tank= 110 gallons
Gasoline tank= 110 gallons
Step-by-step explanation:
Giving the following information:
Diesel tank:
Total capacity= 210 gallons
Unitary daily use= 5 gallons
Gasoline tank:
Total capacity= 430 gallons
Unitary daily use= 16 gallons
First, we structure the total fuel loss formula for each tank:
Diesel tank= 210 - 5*x
Gasoline tank= 430 - 16*x
x= number of weeks
Now, we equal both formulas and isolate x:
210 - 5x = 430 - 16x
11x = 220
x= 20
After 20 weeks both tanks have the same amount of fuel.
Prove:
Diesel tank= 210 - 5*20= 110 gallons
Gasoline tank= 430 - 16*20= 110 gallons
DIO uses [ZA WARUDO] to stop time and throws 200 knives at Jotaro Kujo. Then he adds one more and summons a ROAD ROLLER DA and smashes Jotaro Kujo with it and it explodes. This subtracts 32 knives. Jotaro Kujo uses [STAR PLATINUM] to punch 27 knives and subtracting them. How many knives are left?
Answer:
142
Step-by-step explanation:
start with 200, add 1 then subtract 32, minus 27 again
200 + 1 -32- 27+ 142
Answer:
141
Step-by-step explanation:
giving brainliest
Sanjay drew a scale drawing of a theater. In real life, the stage is 50 feet long. It is 100 inches long in the drawing. What scale did Sanjay use?
Step-by-step explanation:
50 feet is 600 inches
if on drawing it is 100 and in real life it is 600, then the scale is 100:600 or simply 1:6
Step-by-step explanation:
Here, you may download my answer key to that unit. I did try to section the one you need in that shortcut PDF, but scroll down to the one you need to look at if you can't find it at the top.
Naomi filled up her car with gas before embarking on a road trip across the country. Let GG represent the number of gallons of gas remaining in her gas tank after driving for tt hours. A graph of G is shown below. Write an equation for G then state the x-intercept of the graph and determine its interpretation in the context of the problem.
G=___________
The x-intercept of the function is____ which represents
a.)the number of gallons of gas used per hour driven
b.)the number of gallons of gas used per mile
c.)the initial amount of gas in the tank
d.)the number of hours driven until the tank is empty
Answer:
Y= x+15
X intercept is 15
I gallon per hour
Initial amount of gas was 15
At hour 15 tank was empty
Step-by-step explanation:
Please help i got a test tomorrow and need to understand the question please
Answer:
The measurement of angle JKL is x
Step-by-step explanation:
The angle bisector of KE tells you that the two angles on either side of that line are equal.
If we take the measurement of the big angle and subtract out the little angle that we know, we will find the measurement of the angle we are looking for.
4x + 6 - (3x +6)
4x + 6 - 3x -6
x
What is the value of x in the equation
5(2x-7)=15x-10?
Answer:
x = -5
Step-by-step explanation:
First distribute the 5 on the right side of the equation.
10x - 35 = 15x - 10
Then subtract 10x on each side
-35 = 5x - 10
Then add 10 on each side
-25 = 5x
Divide 5 on each side to get x
-25 / 5 = -5
I hope this helps! :)
Answer:
[tex]\sf x=-5[/tex]
Step-by-step explanation:
[tex]\sf 5(2x-7)=15x-10\\10x-35=15x-10\\10x-35+35=15x-10+35\\10x=15x+25\\10x-15x=15x+25-15x\\-5x=25\\\cfrac{-5x}{-5}=\cfrac{25}{-5}\\x=-5[/tex]
If = u2 + 2as, evaluate a when v - 5.
= 2 and s = 7.
Answer:
75a
Step-by-step explanation:
2(vas)
2(35a)
75a
Hope this helps plz hit the crown :D
what does -(-6) mean
Answer:
the opposite of what is in the parentheses so -(-6) would just be 6
Open circles for strictly __________________ and ________________________
Answer:
you have to be more detail?
Step-by-step explanation:
25% of the students in Mrs. Griffin’s class like chocolate ice cream. If 6 students like chocolate ice cream, how many total are in the class?
Answer: 24 students
Step-by-step explanation:
ASAP PLZ HELP WILL MARK BRAINLIST IF RIGHT
Answer:
[tex]d \approx 2.8[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point A (-3, 1)
Point B (-1, -1)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-1+3)^2+(-1-1)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(2)^2+(-2)^2}[/tex]Exponents: [tex]d = \sqrt{4+4}[/tex]Add: [tex]d = \sqrt{8}[/tex]Simplify: [tex]d = 2\sqrt{2}[/tex]Evaluate: [tex]d = 2.82843[/tex]Round: [tex]d \approx 2.8[/tex]Answer: d = 2.83
Step-by-step explanation: The distance between AB rounded to the nearest tenth is 2.83
PLEASE HELP!! I don't understand rate of change so please include a bit of an explaination.
Use the table to find the rate of change
Answer:
the rate of change is 4.
Step-by-step explanation:
It is 4 because to find the rate of change you need to see how many pieces of corn (y) there are for every serving (x). If you see if you plug in the number three in between 2 and 4 for the servings and you follow the pattern of the table you will get 12. Then you subtract 8 from 12 and you get 4.
so basically the rate of change is the difference in corn for every serving.
Please help it needs to be in standard form I’ll give you brainless
Answer:
y[tex]\geq[/tex]-1
Step-by-step explanation:
4y+8+8[tex]\geq[/tex]12
4y [tex]\geq[/tex]-4
y[tex]\geq[/tex]-1
Are these triangles congruent? If so, why?
Because ,
The given figure is parallelogram and as we know that , a parallelogram has two congruent triangles . Now by the given figure the pair two sides are equal and a opposite angle is equal . So we can say the the two triangles are congruent by SAS congruency .
What is the radius and diameter of the following circle?
18 cm
Radius =
cm
Diameter =
cm
Report a probl
st
Answer:
radius=9cm
diameter=18cm
Step-by-step explanation:
Answer:
Radius = 9cm
Diameter = 18cm
Step-by-step explanation:
Remember that the diameter of a circle is the distance between two opposite sides (crossing the middle), and the radius is half of that - the distance from the middle to the outside.
the image shows that the diameter is 18cm, so we know that the radius is 18cm/2, which equals 9cm.
Please help with math 4r+2+7r
Answer:
11r + 2
Step-by-step explanation:
I combined liked terms which are the r's, then left the 2 alone because you cant combine it with any other number.
The circumference of a circle is 14pi cm. What is the radius of the circle? Explain your reasoning.
Circumference = Perimeter
Perimeter of Circle
= 14π
Also,
Perimeter of Circle
= 2πr
Now,
2πr = 14π
r = 14π/2π
r = 14/2
r = 7cm
The circumference of a circle is 14pi cm. Hence, the radius of the circle will be 7 cm.
What is the circumference of a circle?Supposing that a considered circle has its radius of 'r' units.
Then, its circumference is given as:
[tex]Circumference = 2\pi r \: \rm units[/tex]
The radius of a circle is half of its diameter.
The circumference of a circle is 14pi cm.
Circumference = Perimeter
Circumference of Circle = 14π
Also,
Circumference of Circle = 2πr
Now,
2πr = 14π
r = 14π/2π
r = 14/2
r = 7cm
Hence, the radius of the circle will be 7 cm.
Learn more about circle here;
https://brainly.com/question/12058177
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what are these three question answers
Answer:
1. B
2. G
3. A
For question 3:
Its closed circle. go to the right
X+2=y-4 solve equation for y
Answer:
x=y−6
Step-by-step explanation:
Answer:
x - y = -6
......
hope it helps!
Can some one help me graph y=4x + 5 I keep doing something wrong.
Answer:
y = - 3x + 4
Step-by-step explanation:
Line is passing through the points (1, 1) & (0, 4)
Slope of line = (4-1)/(0-1) = 3/(-1) = - 3
Equation of line
y = mx + b
Here m = - 3, b = 4
y = - 3x + 4
Using point (1, 1)
y - 1= - 3(x - 1)
y = - 3x +3 +1
y = - 3x + 4
A bakery used 25% more butter this month that last month. If the bakery used 240 kilograms of butter last month, how much did it use this month?
Answer:
300kg
Step-by-step explanation:
240(25/100)
240(.25) = 60
25% of 240 = 60, so add that 60 to get an extra 25% for this month
240 + 60 = 300
y= 8-2x tell the answer with explanation
The equation has infinite solutions which lie on the graph of this equation.
We have the following equation -
y = 8 - 2x
We have to solve for the possible values of x and y for which the equation is satisfied.
Define rearrangement of a mathematical equation.The rearrangement of a mathematical equation is process of expressing a variable in a equation in terms of other variables, constants etc.
According to the question, we have the following equation -
y = 8 - 2x
Rearranging the equation -
y = - 2x + 8
Now, plot the equation on graph - (Graph is attached at the end)
All the coordinates on this line satisfy the equation → y = 8 - 2x.
Hence, the equation has infinite solutions which lie on the graph of this equation.
To solve more questions on Solutions of Equation, visit the link below-
https://brainly.com/question/13593699
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Which are correct representations of the inequality 6x2 3 + 4(2x - 1)? Select three options.
Answer:
Option A, B, and C.
Step-by-step explanation:
Given, 6x ≥ 3 + 4(2x - 1),
Solve to find the correct representations given in the options.
6x ≥ 3 + 4(2x - 1)
Apply distributive property
6x ≥ 3 + 8x - 4 (option B is correct) ✅
Add like terms
6x ≥ -1 + 8x
Add 1 to both sides
6x + 1 ≥ 8x
Subtract 6x from each side
1 ≥ 8x - 6x
1 ≥ 2x (option A is correct) ✅
Divide both sides by 2
1/2 ≥ 2x/2
½ ≥ x
½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.
This make option C correct.✅
Total price: $128,500
Tax or tip rate: 5.5%
Answer:
Step-by-step explanation:
5.5% of 128,500
(128500*5.5)/100=7067.50
A T-shirt vendor
sells yellow shirts and
blue Shirts at a ratio of
1:4. What percent of the
Shirts are yellow?
The percentage of the T-shirt that are yellow will be 20%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A T-shirt vendor sells yellow shirts and blue Shirts at a ratio of 1: 4.
The ratio of the yellow T-shirt is given as,
Yellow ratio = 1 / (4 + 1)
Yellow ratio = 1 / 5
Then the percentage of the T-shirt that are yellow will be given as,
P = [1/5] x 100
P = 0.20 x 100
P = 20%
The percentage of the T-shirt that are yellow will be 20%.
More about the percentage link is given below.
https://brainly.com/question/8011401
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Consider 8x2 - 48x = -104.
Write the equation so that a = 1: x2 + __ = __
Complete the square:
x² - 6x + __ -13 + __ = __
Factor the trinomial and simplify:
(x + __ )² = __
Use the square root property of equality to solve (x-3)² = -4.
The solutions are ______.
Answer:
[tex]3+ 2\mathbf{i}[/tex]
[tex]3- 2\mathbf{i}[/tex]
Step-by-step explanation:
Quadratic Equation Solving
We have the equation:
[tex]8x^2-48x=-104[/tex]
Divide by 8:
[tex]x^2-6x=-13[/tex]
Now complete the squares so the left side is a perfect square of a binomial:
[tex]x^2-6x+9=-13+9=-4[/tex]
Factoring the perfect square:
[tex](x-3)^2=-4[/tex]
Taking the square root:
[tex]x-3=\sqrt{-4}[/tex]
The square root of a negative number is an imaginary number:
[tex]x-3=\pm 2\mathbf{i}[/tex]
Solving for x:
[tex]x=3\pm 2\mathbf{i}[/tex]
The solutions are:
[tex]3+ 2\mathbf{i}[/tex]
[tex]3- 2\mathbf{i}[/tex]
Answer:
Keep it simple: got this from above answer...
Answer:
Here's just the answers without all the work for easier reading.
Step-by-step explanation:
First problem answer: x2 + -6 x = -13
Second problem answer: x2 – 6x + 9 = –13 + 9
Third problem answer: (x + -3)² = -4
Fourth problem answer: 3 + 2i
Step-by-step explanation:
1/2 |2x-3|+5=13
Solve for x
Answer:
x=19/2
x=- 13/2
Step-by-step explanation:
multiply both sides by 2 |2x -3|+10=26
move constant (10 to the right and change sign |2x-3|=26-10
subtract the numbers |2x-3|=16
use absolute value (rewrite the absolute value 2x-3=16
equation as two separate equations one (+) and (-) 2x-3= -16
2x-3=16 move constant to the right
2x=16+3 add the numbers
2x=19 divide both sides by 2
x=19/2
same steps with with second one
2x-2= -16
2x= -16 +3 move constant to the right change sign and add
2x= -13 divide both sides by two
x= -13/2
The | | are not ( ) . They have different meaning , absolute value brackets. ok :)
Question
Chloe built the expression x - 1 - (2x - 3)
on the expression mat below. Is she correct? And three pieces of evidence in full sentence, the picture of the problem is attached
Answer:
Step-by-step explanation:
/
Can someone pls answer these if someone gives me a step by step answer gets brainliest and 100pts
Quadrilateral ABCD has been dilated by a scale factor of -5/3, Quadrilateral A'B'C'D' is an enlargement of the pre-image.
Question 17 options:
True
False
Question 18 (5 points)
Quadrilateral MNPQ has been dilated by a scale factor of 1/2, Quadrilateral M'N'P'Q' is an enlargement of the pre-image.
Question 18 options:
True
False
9514 1404 393
Answer:
17. True
18. False
Step-by-step explanation:
A dilation will be an enlargement when the magnitude of the scale factor is greater than 1.
__
17. The magnitude of the scale factor is 1 2/3, a value greater than 1. The dilation is an enlargement (True).
__
18. The magnitude of the scale factor is 1/2, a value less than 1. The dilation is not an enlargement. The statement is False.
Please Help With all 3! Will Give 100 Points + Brainliest!
Answer: I don't see anything. Maybe upload some images?
Step-by-step explanation: