Given :
A point x whose distance from A is 5 1/3 units.
distance between x and B is 2/3 units.
To Find :
Distance between A and B if they both are on left side of straight line from x.
Solution :
Let distance between A and B is d :
[tex]d=|A-B|\\\\d=|5\dfrac{1}{3}-\dfrac{2}{3}|\\\\d=|\dfrac{16}{3}-\dfrac{2}{3}|\\\\d=\dfrac{14}{3}\\\\d=4\dfrac{2}{3}\ units[/tex]
Therefore, distance between A and B is 4 2/3 units.
Hence, this is the required solution.
PLEASE HELP IDK WHAT TO DO
You have the correct pairings
(x,y) is any point on the line
m is the slope
(x1,y1) is the given point on the line
------------------------------
For example, if we said that the slope was m = 5 and the given point was (x1,y1) = (7,9)
Then,
y - y1 = m(x - x1)
y - 9 = 5(x - 7)
is the point slope form
The Martinez family is having their swimming pool filled with water by a professional company. A tanker truck can fill the pool at a rate of 150 gallons per minute. Use Scratchpad to show your work for the questions below. a. It took 30 minutes to empty the tank of the truck. How many gallons of water were in the tank? gallons Question 2 b. The pool holds 10,500 gallons of water. Ignoring the time it takes to refill the tank of the truck, how many minutes will it take to fill the pool with water? minutes
Answer:
Question 1, it was 4500 gallons of water in the tank
Question 2, it will take 70 minutes to fill the pool with water
Step-by-step explanation:
Question 1 explanation, just multiply 150 times the minutes
A tanker truck can fill the pool at a rate of 150 gallons per minute. It took 30 minutes to empty the tank of the truck. 4500 gallons of water is in the tank. If pool holds 10,500 gallons of water then it takes 2100 minutes of time to fill.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that,
A tanker truck can fill the pool at a rate of 150 gallons per minute.
It took 30 minutes to empty the tank of the truck.
Now we need to find number of gallons of water in the tank.
So to find it we have to multiply 150 with 30
4500 gallons of water were in the tank.
and the pool holds 10,500 gallons of water
Let us formulate a equation
Apply cross multiplication
150/30=10500/x
150x=315000
=2100 minutes
So 2100 minutes will it take to fill the pool with water.
Hence if a tanker truck can fill the pool at a rate of 150 gallons per minute. It took 30 minutes to empty the tank of the truck. 4500 gallons of water is in the tank. If pool holds 10,500 gallons of water then it takes 2100 minutes of time to fill.
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Select TWO expressions that have the same value as -4 - (-12).
-4 + 12
12-4
-4 - 12
4 + 12
12 - (-4)
Answer:
-4+12
12-4
Step-by-step explanation:
Expression 1:
-4 - (-12)=
-4+12=
8
Expression 2:
12-4=
8
Answer:
12-(-4)
Step-by-step explanation:
Is the number 7.787887888... a rational number ?
Answer: No, it is not rational (it is irrational)
If we had something like 7.78787878... where the "78"s go on forever, then it would be rational. This is called a repeating decimal.
Something like 7.787887888... does not have a repeating pattern. It has 7's and 8's, but the number of 8's seems to increase by 1 each time you list a 7. So this is why the given number is not rational.
Function f undergoes two transformations to become g. Express g(x) in terms of f(x)
Answer:
It is A on edge
Step-by-step explanation:
Answer:
g(x) = – f(x – 2)
Step-by-step explanation:
A swimming pool in Julie's neighborhood has lap lanes that are 55.5 yards long. Julie wants to swim 10 laps. What is the total distance that Julie will swim?
Answer:
1110 yards (if a lap is considered there and back)
Step-by-step explanation:
555(if it is just from a to b, and not back.)
what do you call the fixed line of a parabola?
Answer: directrix.
hoped this helped lmk if it did
1.
A line has equation y = 3x + 4
(a) Write down the gradient of the line
25 POINTS
PLEASE HELP ME ANSWER BOTH QUESTIONS :)))
Answer:
the gradient is 3
y- intercept is 4
Step-by-step explanation:
when you're asked the gradient, you can find it as a coefficient of"x" in equation where the coefficient of "y" is one.
y=mx+b
m=> gradient
b=> y- intercept
We want to find the gradient and y-intercept of a given line.
The solutions are:
a) gradient = 3
b) y-intercept = 4
A general line written in slope-intercept form is:
y = a*x + b
Where a is the slope and b is the y-intercept.
The slope defines how the change in the variable y relates to the changes in the variable x, so the slope is also called the rate of change or gradient.
Thus, if we want to find the gradient, we must read the coefficient that multiplies the variable x, and the constant will be the y-intercept.
In the given line:
y = 3*x + 4
Comparing this with the general line, we can see that the gradient is 3 (the slope), and the y-intercept is 4.
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Every Sunday, Nathan and his friends get together to play their favorite board game, The
Gems of Rawumba. Whoever collects the most gems wins! Players can earn gems by building
mines.
There is a proportional relationship between the number of mines Nathan builds, x, and the
number of gems he earns, y.
Answer: 2 gems per mine
Step-by-step explanation:
Solve 10/5 to find the constant in this question. The answer will be 2.The constant of proportionality if, There is a proportional relationship between the number of mines Nathan builds, x, and the number of gems he earns, y, is 2 gems per mine.
What is proportionality?
When the corresponding elements of two numerical sequences, frequently experimental data, have a fixed ratio, this is referred to as the coefficient of proportionality, and the two sequences are said to be proportional or directly proportional.
Given:
There is a proportional relationship between the number of mines Nathan builds, x, and the number of gems he earns, y,
Values of x = 5, 6, 7, 10
Values of y = 10, 12, 14, 20
Calculate the constant of proportionality as shown below,
The constant of proportionality = y / x
The constant of proportionality = 10 / 5
The constant of proportionality = 2 gems per mine.
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//PLEASE HELP\\
WILL GIVE BRAINLIEST
The town of Easy is mapped on a coordinate grid with the origin being at the statue before City Hall. KFC is located at the point (3, 7) and McDonalds is located at (-3, 7).
How far is it from KFC to McDonald?
A.5
B.6
C.89
D.36
Answer: It should be B.
Step-by-step explanation:
please help i’m so lost
decrease 1440 by 80%
Answer:
288 will be ur ans
Step-by-step explanation:
1440 x 80/100
=1152
1440-1152
=288
Answer: vbtbbr
Step-by-step explanation:
x + y = 7, for x
....
Answer:
x = -y + 7
or
x = 7 - y
Step-by-step explanation:
x + y = 7
Step 1: Subtract y from both sides to get x alone.
x + y = 7
-y -y
x = 7 - y
Since x is alone and y is a variable & not a number, there's nothing else to do to the equation.
Hey there!☺
[tex]Answer:\boxed{x=-y+7}[/tex]
[tex]Explanation:[/tex]
[tex]x+y=7[/tex]
The first/last step we have is to add -y to both sides.
[tex]x+y+-y=7+-y\\x=-y+7[/tex]
[tex]x=-y+7[/tex] is your answer.
Hope this helps!☺
Answer the quesion below:
Answer:
A=8.25
Step-by-step explanation:
the equation for area is
A=base×height
or
A= (3ft)(2.75)
Answer:
A= 8.25
Step-by-step explanation:
What is 10+0.6 (pls show steps on how you got an awnser :) )
Answer:
10.6
Step-by-step explanation:
ok so, since 10 doesn't have any decimals you can just add the 0.6 to 10 so it makes 10.6.
Paul,Linda,and Aaron make homemade cards. Paul can make 1 card for every 3 cards Linda makes. Linda can make 3 cards for every 2 cards that Aaron makes. During the week,Aaron makes 72 cards. How many more cards does Linda make than Paul during the week?
Answer:
Linda makes 72 more cards than Paul
during the week
Step-by-step explanation:
Here, we want to know how many cards Linda makes than Paul during the week.
We proceed as follows;
From the question;
If Paul makes 1 card, then Linda has made three
Now let’s get their relationship with Aaron;
If Aaron makes 2 cards , Linda has made three
Now since Aaron made 72 cards, Let’s say Linda has made x cards
Let’s get the value of x now
To get the value of x, we simply cross multiply;
2 - 3
72 - x
2 * x = 3 * 72
x = (3 * 72)/2 = 108 cards
Now recall , for every 3 cards of Linda, Paul made only 1;
So the number of cards Paul will make if Linda makes 108 will be 108/3 = 36
So the number of more cards that Linda makes than Paul during the week will be ; 108 -36 = 72 cards
Answer: 72
Step-by-step explanation:
You start at (2, 5). You move down 4 units and up 8 units. Where do you end?
Answer:
(2,7)
Step-by-step explanation:
Answer: (2,9)
Step-by-step explanation:
2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?
Answer:
133 girls
Step-by-step explanation:
Total members = x
Number of boys = [tex]\frac{2}{9}x[/tex]
Number of girls = [tex]\frac{2}{9}x +95[/tex]
Number of boys + Number of girls = total members
[tex]\frac{2}{9}x+\frac{2}{9}x+95=x\\\\\frac{2}{9}x+\frac{2}{9}x=x -95\\\\\frac{2}{9}x+\frac{2}{9}x-x=-95\\\\\frac{4}{9}x-x = -95\\\\\frac{4}{9}x-\frac{9}{9}x = -95\\\\\frac{-5}{9}x=-95\\\\x = -95*\frac{9}{-5}\\\\x=19*9[/tex]
x = 171
Number of boys = [tex]\frac{2}{9}*171[/tex] = 2 * 19 = 38
Number of girls = 38 + 95 = 133
Find the equation of the line through point (−1,4) and parallel to 5x+y=4
Answer:
3y-5x=none
Step-by-step explanation:
Which statement best describes the equation x5 + x3 – 14 = 0?
The equation is quadratic in form because it is a fifth-degree polynomial.
The equation is quadratic in form because the difference of the exponent of the lead term and the exponent of the middle term is 2.
The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
The equation is not quadratic in form because the exponent of the lead term is not the square of the exponent of the middle term.
Answer:
2.The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
Step-by-step explanation:
A quadratic equation is any equation that can be rearranged in standard form as :
ax² + bx + c = 0
Where a, b and c are coefficients and a ≠ 0.
Since for a quadratic equation, the power of x is a non negative integer, it is considered as a polynomial. A quadratic equation is a second-degree polynomial (i.e the gratest power of x is two).
The equation is not a quadratic equation because it cannot be rewritten as a second-degree polynomial.
We want to see which statement describes the equation x^5 + x^3 - 14 = 0.
The correct option is:
The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
First, our equation:
x^5 + x^3 - 14 = 0.
Is a polynomial of degree 5 (the degree is equal to the maximum exponent).
Thus, this is not a quadratic equation.
Where a quadratic equation is a polynomial of degree 2.
Notice that we also can't replace x by another variable, such that it becomes a quadratic equation, then the correct statement is:
The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
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A department store gives A $10 gift card to Every 20th customer and a $15 gift card to every 45th customer
15 gift card to every 45th customer
3.2 Applications Worksheet
Solve each system by elimination.
1) 3x + 5y = 322
3x - 10y =8
2) -6x + 10y=-8
7x - 20y= 1
There are 4 white and 8 red roses in a bouquet. Find the ratios. The ratio of the number of red roses to the number of white roses
Given:
Number of white roses = 4
Number of red roses = 8
To find:
The ratio of the number of red roses to the number of white roses.
Solution:
Using the given information, the ratio of the number of red roses to the number of white roses is
[tex]\text{Required ratio}=\dfrac{\text{Number of red roses}}{\text{Number of white roses}}[/tex]
[tex]\text{Required ratio}=\dfrac{8}{4}[/tex]
[tex]\text{Required ratio}=\dfrac{2}{1}[/tex]
[tex]\text{Required ratio}=2:1[/tex]
Therefore, the required ratio is 2:1.
The sum
4
7+
−1
3 is
Answer:
34
Step-by-step explanation:
47 + (-13)
47 - 13
34
Best of Luck!
Solve for x
8 - x + 4x = 26
Answer:
6
Step-by-step explanation:
8 - x + 4x = 26
8+3x=26
3x=26-8
3x=18
x=18/3
x=6
Alan takes 3 minutes to draw a picture. Beatrice takes 4 minutes to draw a picture. If Alan and Beatrice start drawing pictures at the same time, how long will they draw before they can complete a picture at the same time?
Answer:
1.71 minStep-by-step explanation:
Alan draws a picture in 3 minute
In one minute he draws:
1/3 of the pictureSimilarly, Beatrice draws
1/4 of the picture in 1 minuteTogether the draw in one minute:
1/3+1/4 = 7/12 of the pictureTo complete the picture they need:
1:7/12 = 12/7 min or 1 5/7 min or 1.71 minNathaniel's car used 10 gallons to travel 360 miles. How far can he travel on 16 gallons?
Answer:
576 miles per 16 gallons
Step-by-step explanation:
Step 1:
360 ÷ 10
Step 2:
36 miles per gallon
Step 3:
36 × 16
Answer:
576 miles per 16 gallons
Hope This Helps :)
Answer:
Nathaniel can travel 576 miles on 16 gallons.
Explanation:
Knowing that 10 gallons would be enough for 360 miles, we can divide 360 by 10 to get the amount of miles that can be driven for only ONE gallon.
360 divided by 10 is 36, so 36 is the amount of miles driven for one gallon. Now we can multiply 36 by 16 to get the amount for 16 gallons. 36 multiplied by 16 is 576. Nathaniel can travel 576 miles on 16 gallons.
what does a z-score tell you
Answer:
The value of the z-score tells you how many standard deviations you are away from the mean. ... A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean. A negative z-score reveals the raw score is below the mean average.
Step-by-step explanation:
A newsboy has $2.65, consisting of nickels, dimes and quarters.
If the number of dimes exceeded the number of nickels by 1, and
the number of quarters was equal to the number of nickels
decreased by one, what was the number of each kind of coin?
There will be 7 nickels, 8 dimes, and 6 quarters of each type of coin. If there were one more dime than nickel and two more quarters than nickels.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that a newsboy has $2.65, consisting of nickels, dimes, and quarters
From the condition, the number of dimes exceeded the number of nickels by 1, and the number of quarters was equal to the number of nickels decreased by one.
Let the number of nickels, dimes, and quarters will be n, d, and q respectively.
1 × n = 5 cents
1 × d = 10 cents
1 × = 25 cent
d = n + 1
q = n – 1
As a result,
$2.65 ×100 = 265 cents.
The obtained equations are,
5n + 10d + 25q =265
d = n + 1
q = n – 1
Replace d with n + 1 and q with n - 1 in the equation
5n + 10× (n + 1) + 25 × (n - 1) = 265
5n + 10n + 10 + 25n - 25 = 265
40n -15 = 265
40n = 280
n = 280/40
n = 7 nickels
Substituting the value of n in the equation we get
d = 8 dimes
q = 6 quarters
n + d + q = 265 cents
35 cents + 80 cents + 150 cents = 265 cents
Convert the units from cents to dollars as
265 /100 = $2.65
Thus, there will be 7 nickels, 8 dimes, and 6 quarters of each type of coin. If there were one more dime than nickel and two more quarters than nickels
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9:45 on Tuesday Questions
Please Help Me Out! I am back with a handful of geometry questions. I would like you to answer this question and explain or show all of your work.
I will mark Brainlest for an accurate answer!
If the image is to blurry try clicking on it. If it is still to blurry, let me know in the comments. If you have any other questions about the problem, let me know.
Please only answer of you have a "real" answer and not a comment. Save your comments for the comment box!
If you would like to help me out some more, go check out my profile and answer the questions that have 9:45 on Tuesday Questions on them.
God Bless.
Answer:
The Alternate Interior Angles Theorem
Step-by-step explanation:
Given
∠3 ≅ ∠5Angle 3 and angle 5 are alternate interior angles, and they are congruent.
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.