Answer:
The co - ordinates of another end point is
(x,y) = (3, 12)
Step-by-step explanation:
step :-
mid point formula:-
Let [tex](x_{1} ,y_{1} ) and (x_{2} ,y_{2} )[/tex] be any two end points
Mid point of two given points are
[tex](\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex]
let (x,y ) be the another end point
given one end point is (5,-6)
now by using mid-point formula , we get
[tex](\frac{x+5}{2} , \frac{y-6}{2} )[/tex] this is equating to given mid-point is M(4,3)
now [tex](\frac{x+5}{2} , \frac{y-6}{2} )=(4,3)[/tex]
simplify , we get
[tex]\frac{x+5}{2} =4 and \frac{y-6}{2} =3[/tex]
cross multiplication and simplify
[tex]x+5 = 8 and y-6=6[/tex]
x = 3 and y = 12
The another point is (x,y) = (3,12)
You found a flower club online. In order to belong, you must pay an initial fee of $25. After you have paid the fee, you can buy any flower for $1.25. Does this deal represent a proportional relationship? Explain.
Answer:
No, it does not represent a proportional relationship because it if you were to graph it on a graph the linear line wouldn't pass through the origin, therefor making the ratio from x to y different. Which makes it non-proportional.
Step-by-step explanation:
You need to solve a system of equations. You decide to use the elimination method. Which of these is not allowed?
equation one: 2x - 3y = 12
equation two: -x + 2y = 13
A. Multiply equation 1 by 2 and equation two by 3. Then add the new equations.
B. Multiply the left side of equation 2 by 2. Then subtract the result from equation 1.
C. Multiply equation 2 by -2. Then add the result to equation 1.
Answer:
B
Step-by-step explanation:
The Elimination Method is the method for solving a pair of linear equations which reduces one equation to one that has only a single variable.
If the coefficients of one variable are opposites, you add the equations to eliminate a variable, and then solve.If the coefficients are not opposites, then we multiply one or both equations by a number to create opposite coefficients, and then add the equations to eliminate a variable and solve.When multoplying the equation by a coefficient, we multiply both sides of the equation (multiplying both sides of the equation by some nonzero number does not change the solution).
So, option B is not allowed (it is not allowed to multiply only one part of equation)
Answer:
B
Step-by-step explanation:
The variable y is directly proportional to the variable x. If y = 32 when x = 20, what is the value of x when y = 40?
A)
20
B)
20.5
C)
25
D)
30
Answer:
The Correct option is C ) 25
Therefore the value of x is 25 when y =40.
Step-by-step explanation:
Given:
Variable 'y' is directly proportional to the variable 'x'.
[tex]\therefore y=kx[/tex] ......Direct Variation
Where,
k = Constant of proportionality
To Find:
value of x = ? when y = 40
Solution:
First we need to find Constant of proportionality
When x = 20 and y = 32
Substituting the values we get
[tex]32=k\times 20\\k=\dfrac{32}{20}=1.6\\\\k=1.6[/tex]
Now when k =1.6 , y = 40 then x will be
[tex]40=1.6\times x\\\\x=\dfrac{40}{1.6}=25\\\\x=25[/tex]
Therefore the value of x is 25 when y =40.
Final answer:
The value of x when y is 40 is C) 25.
Explanation:
The variable y is directly proportional to the variable x.
This means that as x increases or decreases, y does so at a constant rate.
This relationship can be written as y = kx, where k is the constant of proportionality.
To find k, we use the information that y = 32 when x = 20, leading to the equation 32 = k * 20.
Solving this gives us k = 32 / 20 or k = 1.6.
With the constant k known, we can find the value of x when y = 40 by setting up the equation 40 = 1.6x.
Dividing both sides by 1.6 gives us x = 40 / 1.6, which results in x = 25.
Therefore, the correct answer is C) 25.
Can someone help me with this plz?
Answer:
option (4)
Step-by-step explanation:
As a function x can only have one unique value that it maps to.
(1)
(10, 12 ) ← No since (10, 11 ) is already part of the function
(2)
(15, 13 ) ← No since (15, 18) is already part of the function
(3)
(17, 10 ) ← No since (17, 12 ) is already part of the function
(4)
(11, 13 ) ← Yes as no other value with x = 11
What is the inverse of the fuction f(x)= x+3
Answer:
Inverse of function f(x) is y =x-3
Step-by-step explanation:
Given:
f(x) = (x+3)
To Find:
Inverse of f(x)
Solution:
Inverse of the function:
Let f: X -> Y be a function with domain X and target set Y. Then g is the inverse of f if g is a function with domain Y and target set X such that
g(f(x)) = x for all x in X
f(g(y)) = y for all y in Y.
f has an inverse function if and only if f is both one-to-one and onto. If f is one-to-one and onto, then its inverse function g is defined implicitly by the relation g(f(x)) = x.
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
Let y = f(x) = x+3
So, swapping the variables: y=x+3 becomes x=y+3
Now, solve the equation x=y+3 for y.
y=x−3
y=x−3
A zoo has 15 Emperor penguins. The Emperor penguins make up 30% of all the penguins at the zoo
How many penguins live at the zoo?
Answer:
Step-by-step explanation:
there is 15 emperor penguins...they make up 30% of all the penguins
so 30% of all the penguins is 15
let x represent all the penguins
turn ur percent to a decimal
0.30x = 15
x = 15 / 0.30
x = 50 <===== 50 total penguins
Answer:
50 penguins
Step-by-step explanation:
there is 15 emperor penguins...they make up 30% of all the penguins
so 30% of all the penguins is 15
let x represent all the penguins
turn ur percent to a decimal
0.30x = 15
x = 15 / 0.30
x = 50 <===== 50 total penguins
Looking at Yari's equation below, what
do you notice about both sides of the
equation?
2(x + 10)-17=5+2x-2
2x + 20-17=3+2x
2x +3=3+2x
A) Only the constants are the same on both sides.
B) Both sides are exactly the same.
C) The variable terms on each side of the equation are different.
D) Only the variable terms are the same on both sides.
Answer:
B, hope this helps you!
Both the variable and constant terms in Yari's equation are identical on each side after simplification, leading to the conclusion that both sides are exactly the same.
Explanation:Analysing Yari's equation step-by-step, we can see that after expanding and simplifying both sides of the equation:
2(x + 10) - 17 becomes 2x + 20 - 17, which simplifies to 2x + 3.5 + 2x - 2 simplifies directly to 3 + 2x.Comparing both sides of the simplified equation 2x + 3 = 3 + 2x, we notice that both the variable terms (2x) and the constant terms (3) are identical on each side.
Therefore, the correct answer is:
B) Both sides are exactly the same.
Looking at the table of sample means which value is the best estimate of the mean of the population?
11.0
12.3
17.3
20.9
Answer:
C
Step-by-step explanation:
Answer:Got it t ght\\======
Step-by-step explanation:
9a+4b+4(-4a+2b)-7
What the answer
Mr. Torres spent $30.00 to buy 9/1/2 pounds of ground beef and chicken for a family cookout. If the price of ground beef was $4.50 per pound and chicken was $3.00 per pound, how many pounds of each did he buy?
Answer:
Therefore Mr. Torres buys 1 pound of ground beef and 8.5 pounds of chicken.
Step-by-step explanation:
i) Let x be the number of pounds of ground beef
ii) Let y be the number of pounds of chicken.
iii) therefore x + y = 9.5 pounds
iv) also we have 4.5 x + 3 y = 30 dollars
v) multiplying the equation in iii) by 3 we get 3x + 3y = 28.5
vi) Subtracting the equation in v) from the equation in iv) we get 1.5 x = 1.5
vii) Therefore x = 1 pound
viii) substituting the value of x in vii) in the equation in iii) we get
1 + y = 9.5 . Therefore y = 8.5 pounds.
ix) Therefore Mr. Torres buys 1 pound of ground beef and 8.5 pounds of chicken.
Carlos bought Eight jars of sun dried tomatoes for 36$ how many jars can you buy if she has 18$
Answer:
four four four four four
Answer:
4
Step-by-step explanation:
36 divided by 8 is 4.5
4.5 x 4= 18
How do I work this
-(-3)-[-(-4]-2+7
Answer:
4Step-by-step explanation:
-(-3)-[-(-4)]-2+7 = 3 - [4] - 2 + 7 = 3 - 4 - 2 + 7 = (3+7) - (4+2) = 10 - 6 = 4
7/12% of a quantity is equal to what fraction of the quantity?
Answer:
12 = 22 × 3
Step-by-step explanation:
The fraction equivalent of 7/12% of a quantity is 7/12000.
Explanation:The question is asking to derive the fraction equivalent of 7/12% of a quantity. In mathematics, a percent is a way of expressing a fractional amount using a ratio whose denominator is 100. Therefore, to convert a percent to a fraction, we write the value of the percent as a fraction with a denominator of 100.
In this case, 7/12% can be expressed as (7/12)/100. Simplifying this fraction, we get 7/12000, which is the fraction of the quantity that 7/12% represents.
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Subtract.
(7x2 + 6) - (2x-5)
Answer: 7x2−2x+11
Step-by-step explanation:
Distribute the Negative Sign:
7x2+6+−1(2x−5)
7x2+6+−1(2x)+(−1)(−5)
7x2+6+−2x+5
Combine Like Terms:
7x2+6+−2x+5
(7x2)+(−2x)+(6+5)
7x2+−2x+11
Julia planet a rectangle garden that is 20 feet long she plays 56 feet of fencing around her Garten what is the width of her Garten what is the area
The width of rectangular garden(b) = 8 feet and
The area of rectangular garden = 160 square feet
Step-by-step explanation:
Given,
The length of rectangular garden(l) = 20 feet and
The perimeter of rectangular garden(fencing) = 56 feet
To find, the width of rectangular garden(b) = ? and
The area of rectangular garden = ?
We know that,
The area of rectangular garden = 2(l + b)
⇒ 2(20 + b) = 56
⇒ 20 + b = 28
⇒ b = 28 - 20 = 8 feet
The width of rectangular garden(b) = 8 feet
∴ The area of rectangular garden = l × b
= 20 feet × 8 feet
= 160 square feet
Hence, the width of rectangular garden(b) = 8 feet and
the area of rectangular garden = 160 square feet
The width of Julia's garden is 8 feet, and the area of her garden is 160 square feet. The calculations were made using the perimeter and area formulas for rectangles.
To find the width of Julia's rectangular garden and its area, we can use the given information:
The garden is 20 feet long, and the total perimeter of the garden is 56 feet.
Step-by-Step Solution:
The formula for the perimeter P of a rectangle is given by:
P = 2L + 2W
where L is the length and W is the width.
We know the following values:
L = 20 feet
P = 56 feet
Substitute these values into the perimeter formula:
56 = 2(20) + 2W
Simplify and solve for W:
56 = 40 + 2W
56 - 40 = 2W
16 = 2W
W = 8 feet
Now we can find the area A of the garden using the formula for the area of a rectangle:
A = L × W
Substitute the values we have:
A = 20 × 8
A = 160 square feet
The width of Julia's garden is 8 feet, and the area of her garden is 160 square feet.
your gas bill went up from $125 per month to $150 per month. what is the percent increase of your gas bill?
Answer: $25
Step-by-step explanation: what you need to do is take $150 and take $125 dollars away you will get $25!
Answer:
25
Step-by-step explanation:
25-: 2=50
125 + 25=150
If a rectangle has an area of 2x^2+7x+3 find the perimeter
Perimeter of a rectangle = 6x + 8
Solution:
Given area of a rectangle = [tex]2x^2+7x+3[/tex]
Let us first factor the given polynomial.
[tex]2x^2+7x+3=2x^2+x+6x+3[/tex]
[tex]=(2x^2+x)+(6x+3)[/tex]
Taking out common terms in the above expression
[tex]=x(2x+1)+3(2x+1)[/tex]
Taking out common term [tex]2x+1[/tex] in the above expression
[tex]=(2x+1)(x+3)[/tex]
[tex]2x^2+7x+3=(2x+1)(x+3)[/tex]
Area of a rectangle = l × b
Therefore, [tex]l=2x+1[/tex] and [tex]b=x+3[/tex]
Perimeter of a rectangle = 2(l + b)
[tex]=2[(2x+1)+(x+3)][/tex]
[tex]=2(2x+1+x+3)[/tex]
[tex]=2(3x+4)[/tex]
[tex]=6x+8[/tex]
The answer is same if you take l = x + 3 and b = 2x + 1.
Hence, perimeter of a rectangle = 6x + 8.
Help me pleaseee!!!!!!!!!
Answer:
90°
Step-by-step explanation:
All circles are equal to 360°. Since the pie chart is a circle, if you added all of the central angles for all three sections, it would total to 360°.
Since the circle is not divided into 360 parts for each degree, but 100 parts for each percent %.
You can solve using an equivalent. Write each fraction in the form "Lemonade" over "total". The left side is percentage, the right side is degrees.
Let x be the central angle for lemonade
[tex]\frac{25}{100}=\frac{x}{360}[/tex]
Solve for the central angle of lemonade by isolating 'x'. To isolate x, move 360 over to the other side. When moving numbers in an equivalent, you do the opposite operation to both sides. Since 'x' divides by 360, multiply 360 on both sides.
[tex]\frac{25}{100}=\frac{x}{360}[/tex]
[tex]360*\frac{25}{100}=360*\frac{x}{360}[/tex] 360 cancels out on the right
[tex]\frac{360*25}{100}=x[/tex] Combined multiplication in numerator
[tex]\frac{9000}{100}=x[/tex] When dividing, 0s cancel out
[tex]\frac{90}{1}=x[/tex] Simplify fraction over 1
[tex]x = 90[/tex] Answer
Therefore the central angle in the Lemonade section is 90°.
Solve p(x + 9) = r for x.
Answer:x=r/p-9
Step-by-step explanation:
Simplify 3(2x-8)-11x
The expression 3(2x-8)-11x simplifies to -5x - 24 by distributing the 3 and then combining like terms.
To simplify the expression 3(2x-8)-11x, we must first distribute the 3 to both terms within the parenthesis and then combine like terms. Here's the step-by-step process:
Multiply 3 by 2x to get 6x.
Multiply 3 by -8 to get -24.
Combine the products from steps 1 and 2 with the -11x.
So, 3(2x-8) equates to 6x-24.
Now, combine 6x - 24 with -11x (6x-24-11x).
Simplify the like terms by subtracting 11x from 6x which gives -5x.
Our final expression is -5x - 24.
Therefore, the simplified expression of 3(2x-8)-11x is -5x - 24.
I don’t know how to do 5/9-5/18. Can you help me do it?
[tex]\bf \cfrac{5}{9}-\cfrac{5}{18}\implies \stackrel{\textit{using the LCD of 18}}{\cfrac{(2)5~~-~~(1)5}{18}}\implies \cfrac{10-5}{18}\implies \cfrac{5}{18}[/tex]
Sarah sold a total of 178 t shirts and posters at a festival. She sold 46 more tshirts than poster. How many posters did she sell
Sarah sold 66 posters
Solution:
Let "a" be the number of shirts sold
Let "b" be the number of posters sold
Sarah sold a total of 178 t shirts and posters at a festival
Therefore,
number of shirts sold + number of posters sold = 178
a + b = 178 ----------- eqn 1
She sold 46 more tshirts than poster
Number of shirts sold = 46 + number of posters sold
a = 46 + b --------- eqn 2
Substitute eqn 2 in eqn 1
46 + b + b = 178
2b = 178 - 46
2b = 132
b = 66
Thus she sold 66 posters
Final answer:
Sarah sold 66 posters at the festival.
Explanation:
Let's represent the number of posters Sarah sold as P. Since she sold 46 more t-shirts than posters, we can represent the number of t-shirts as P + 46. The total number of t-shirts and posters sold is 178, so we can write the equation: P + (P + 46) = 178.
Combining like terms, we get: 2P + 46 = 178. Subtracting 46 from both sides, we have: 2P = 132. Dividing both sides by 2, we find: P = 66.
Therefore, Sarah sold 66 posters at the festival.
The Jacobys kept track of the time they
spent driving on their trip.
Driving Time
DATA
Day
Hours Driving
Monday 5 .3/4
Tuesday 4.3/4
Wednesday 2.1/4
Thursday6.3/4
Part A
Find how many hours the Jacobys drove on
Monday and Tuesday. Draw a bar diagram
to represent the problem
The Jacobys drove a total of 10 ¼ hours on Monday and Tuesday.
Explanation:To find how many hours the Jacobys drove on Monday and Tuesday, we need to add the hours they drove on each day.
On Monday, they drove 5 ¼ hours. On Tuesday, they drove 4 ¼ hours. To find the total number of hours they drove on both days, we add these two amounts:
5 ¼ + 4 ¼ = 10 ¼ hours
So, the Jacobys drove a total of 10 ¼ hours on Monday and Tuesday.
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Write an equation of a line with the given slope and y-intercept.
m = -5, b = -7
Answer:
Step-by-step explanation:
Equation of line is y = mx + b
m is the slope = -5
b is the y intercept = -7
:- y = -5x - 7
A parcel is 90 cm x 50 cm x 60 cm. What length of string is required to tie it up, if the string goes round each way twice (in all six rounds) and 50 cm are needed for the knots?
Answer:
88 because I just solved it on a white board
3x + 1.5=2.5x+4.7 is this no solution, 1 solution, or infinite solutions???
Answer:
6.4
Step-by-step explanation:
#1. 3x+1.5=2.5x+4.7
#2. subtract by 1.5 on both sides
#3. 3x=2.5x +3.2
#4. then subtract 2.5x on both sides because you need all the x'x on one side
#5. .5x= 3.2
#6. then you divide but you should bring the decimal to the right once on both sides
#7. x=6.4
The equation 3x + 1.5 = 2.5x + 4.7 has one solution which is x = 6.4.
Explanation:The equation at hand is 3x + 1.5 = 2.5x + 4.7. To check whether the equation has no solution, one solution, or an infinite number of solutions, we have to solve the equation.
By collecting like terms, 3x - 2.5x = 4.7 - 1.5 will give us 0.5x = 3.2. To isolate x, we simply divide both sides of the equation by 0.5, leading to x = 3.2/0.5 which equals 6.4.
Therefore, the given equation has one solution, and that solution is x = 6.4.
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What is the mean?
Round to the nearest tenth if needed.
Value
Frequency
1 2 3 4 5
713 2 2
O 2.4
O
3
•
2
O
7.2
the answer is 2.4
Mean=\frac{\sum fx}{\sum f}
Where:
f is the frequency
x is the value
\frac{3+7+5+6+2+x}{6} =5
23+x=30
x=30-23
x=7
\therefore Mean=\frac{1 \times 7 + 2 \times 1+ 3 \times 3 + 4 \times 2 + 5\times 2}{15}
=\frac{7+2+9+8+10}{15} =\frac{36}{15} =2.4
Therefore, the mean = 2.4
sorry if its a bit confusing
Answer:
Its 2.4
Step-by-step explanation:
A commercial jet liner hits an air pocket and drops 282 feet. After climbing 143 feet up it drops another 161 feet. What is its overall vertical change?
Answer:
Therefore the overall vertical change is a drop of 300 feet.
Step-by-step explanation:
i) The overall vertical change is given by = -282 feet + 143 feet - 161 feet = -300 feet.
ii) Therefore the overall vertical change is a drop of 300 feet. A drop is represented as negative and a climb is represented as positive.
In the figure, a || b and m/3 = 34,
What is the m27?
Enter your answer in the box,
Incomplete question the complete question with the figure is below.
Answer:
Therefore,
[tex]m\angle 7=34\°[/tex]
Step-by-step explanation:
Given:
In the figure, a || b
m∠3 = 34°
To Find:
m∠7 = ?
Solution:
Corresponding Angles:
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles.
When the two lines are Parallel Corresponding Angles are equal.∠ 3 and ∠7 are Corresponding Angles.
∴ [tex]m\angle 3=m\angle 7[/tex]
But m∠3 = 34
∴ [tex]m\angle 7=34[/tex] ................Transitive Property.
Therefore,
[tex]m\angle 7=34\°[/tex]
Tell me the correct answer to get brainliest.
Good evening
Answer:
RM ≈ 8.25
Step-by-step explanation:
√((10-2)^2+(6-4)^2)
= √(8^2+2^2)
=√(64+4)
=√(68)
=8.246211251235
Distance RM To the nearest hundredth 8.25
:)