[tex]\bf \begin{cases} -2x+y=0\\ \boxed{y} = 2x\\[-0.5em] \hrulefill\\ 5x+3y=-11 \end{cases}\qquad \qquad \implies \stackrel{\textit{substituting on the 2nd equation}}{5x+3\left( \boxed{2x} \right)=-11} \\\\\\ 5x+6x=-11\implies 11x=-11\implies x = \cfrac{-11}{11}\implies \blacktriangleright x = -1 \blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{y = 2x}\implies \blacktriangleright y = -2 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (-1~~,~~-2)~\hfill[/tex]
Calculate the slope between the following points (1,6) (3,-7)
Answer:
-13/2
Step-by-step explanation:
slope is calculated as (y2-y1)/(x2-x1)
(x1, x2) is (1,6) and (y1,y2) is (3,-7)
doing (y2-y1)/(x2-x1) gives us ((-7)-6)/(3-1)
= -13/2
The slope between the points (1,6) and (3,-7) is calculated as -6.5 using the slope formula.
Explanation:The slope between two points (1,6) and (3,-7) can be calculated using the slope formula: m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of the points.
In this case, substituting the values in, we get:
m = (-7 - 6) / (3 - 1) = -13 / 2 = -6.5.
Thus, the slope between the points (1,6) and (3,-7) is -6.5.
HELP
Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.15. How much will the fabric cost?
[1 ft = 0.305m]
$9.20
$2.12
$2.81
$30.16
The fabric cost is $2.81.
Given that,
Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters.
One meter of fabric costs $1.15.
We have to determine,
How much will the fabric cost?
According to the question,
Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters.
One meter of fabric costs $1.15.
Then,
The fabric cost = one meter fabric cost × fabric measurement
The fabric cost = 8 × $1.15
The fabric cost = 9.20 feet
The value of [1 ft = 0.305m],
Therefore,
The fabric cost = 9.20 × 0.305 m = $2.81
Hence, The fabric cost is $2.81.
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Final answer:
To determine the cost of 8 feet of fabric when the store sells by the meter, one must convert feet to meters and then multiply by the price per meter, resulting in approximately $2.81.
Explanation:
The student, Joy, needs to convert feet to meters in order to purchase fabric. Since 1 foot is equal to 0.305 meters, she needs to convert 8 feet to meters by multiplying 8 feet by 0.305. This results in approximately 2.44 meters of fabric needed. Given that one meter of fabric costs $1.15, we multiply 2.44 meters by $1.15 per meter to find the total cost. Therefore, the fabric will cost approximately $2.81.
Which part of the angle is the vertex?
A. Point X
B. YX
C. YZ
D. Point Y
Is there a graph?
If you have more info you will get the best answer.
Answer: POINT Y :))
Explanation in the picture below :) hope i helped!!
What is the median of the numbers below?
5,4,5,8,3,5,2
Answer:
5
Step-by-step explanation:
2,3,4,5,5,5,8
you must put them in order, and it will always be in the middle :)
What is the answer to 7=-3c-2
Answer:
c= -3
Step-by-step explanation:
Graph the linear equation.
4x+6y=−12
Answer:
Step-by-step explanation:
Answer:
The points are (-3,0) and (0,-2)
Step-by-step explanation:
Solve for x: 2x ^ 3 - x ^ 2 + 18x - 9 = 0
Answer:
see explanation
Step-by-step explanation:
Given
2x³ - x² + 18x - 9 = 0 ( factor the first/second and third/fourth terms )
x²(2x - 1) + 9(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(x² + 9) = 0
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
x² + 9 = 0 ⇒ x² = - 9 ⇒ x = ± 3i
The equation has 1 real solution and 2 complex solutions
x = [tex]\frac{1}{2}[/tex] ← real solution
x = ± 3i ← complex solutions
What is 4 and 16/25 simplified
Answer:
4.64
Step-by-step explanation:
To simplify mixed numbers you can write them either as a fraction or as a decimal number.
Fraction:
first we need to express both parts of mixed number through the same denominator - 1 has 25/25, so that means 4 has 100/25.
Now we can write that as 100/25 and 16/25, which is (100+16)/25 = 116/25
Decimal number:
This time, we convert this fraction part of a number to decimal. Simply dividing, we get that 16/25 equals 0.64. So 4 and 0.64 is 4.64.
expression show the sum of 5 less than y and the product of 3 and g
The expression that shows the sum of 5 less than y and the product of 3 and g is (y - 5) + 3g
Step-by-step explanation:
Let us revise some important words to translate a statement to algebraic expression
The sum ⇒ addThe product ⇒ multiplyThe quotient ⇒ divideLess than ⇒ subtractMore than add∵ 5 less than y
- That means subtract 5 from y
∴ 5 less than y = y - 5
∵ The product of 3 and g
- That means multiply g by 3
∴ The product of 3 and g = 3g
∵ The sum of 5 less than y and the product of 3 and g
- That means add (y - 5) and 3g
∴ the expression = (y - 5) + 3g
The expression that shows the sum of 5 less than y and the product of 3 and g is (y - 5) + 3g
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WILL GIVE BRAINIEST AND POINTS :
[tex]m \angle LKN + m \angle \boxed{KLM} = \boxed{180}[/tex] because they are [tex]\text{supplementary angles}[/tex]
This is true of any parallelogram. The adjacent angles of any parallelogram are supplementary, meaning they add to 180 degrees. You can use the same side interior angle theorem here as well.
------------------
Because KA cuts angle K in half, and LA does the same to angle L, this means that we're dividing everything by 2 in that equation at the top of the page. So we have,
[tex]\frac{m \angle LKN + m \angle KLM}{2} = \frac{180}{2}[/tex]
and that turns into
[tex]m \angle LKA + m\angle KLA = 90[/tex]
which tells us that angle KAL must be 90 so that the three angles of triangle KAL add to 180 degrees. For any right triangle, the acute angles are complementary, meaning they add to 90 degrees.
is searching online for airline tickets. Two weeks ago, the cost to fly from Orlando to Denver was $250. Now the cost is $365. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Percent increase without baggage = 46%
Percent increase with baggage = 66%
Step-by-step explanation:
Cost of ticket two weeks ago= Old value = $250
Increased cost = New value = $365
Change = New value - Old value
Change = 365 - 250 = $115
Percent increase = [tex]\frac{Change}{Old\ value}*100[/tex]
Percent increase = [tex]\frac{115}{250}*100[/tex]
Percent increase = [tex]\frac{11500}{250}=46\%[/tex]
There is 46% increase in the price.
Change after additional baggage = 115+50 = $165
Percent increase = [tex]\frac{165}{250}*100[/tex]
Percent increase = [tex]\frac{16500}{250}=66\%[/tex]
Percent increase without baggage = 46%
Percent increase with baggage = 66%
Keywords: percentage, division
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The percent increase in the cost of airline tickets from Orlando to Denver is 46%. If an additional $50 baggage fee is charged, the percent increase is 66%.
Explanation:To calculate the percent increase, we can use the formula: Percent Increase = ((New Value - Old Value) / Old Value) x 100. In this case, the old value is $250 and the new value is $365. Therefore, the percent increase is ((365 - 250) / 250) x 100 = 46%.
If the airline charges an additional $50 baggage fee, the new ticket price would be $365 + $50 = $415. To calculate the percent increase from the original price, we can use the same formula. The old value is still $250 and the new value is $415. Therefore, the percent increase with the added baggage fee is ((415 - 250) / 250) x 100 = 66%.
can someone help me on 12,13,14 :)
Answer:
m∠XYZ = 166
AB = 2√5
Modpoint (1 , 5)
Step-by-step explanation:
Look at the photo below for the details.
:)
y=x
y=-6x–14
(substitution method)
Answer:
The solution is the point (-2,-2)
Step-by-step explanation:
we have
[tex]y=x[/tex] ----> equation A
[tex]y=-6x-14[/tex] ----> equation B
Solve the system by substitution
substitute equation A in equation B
[tex]x=-6x-14[/tex]
Solve for x
[tex]6x+x=-14\\7x=-14\\x=-2[/tex]
Find the value of y
substitute the value of x in the equation A
[tex]y=x[/tex]
so
[tex]y=-2[/tex]
therefore
The solution is the point (-2,-2)
Which expressions are equivalent?
A. 1/5 k - 2/3 j and - 2/3 j + 1/5 k
B. 1/5 k - 2/3 j and - 1/5 k + 2/3 j
C. 1/5 k - 2/3 j and 1/5 j -2/3 k
D. 1/5 k - 2/3 j and 2/3 j - 1/5 k
Answer: A
Step-by-step explanation:
what two expressions are equivalent to 3/5 x - 3
a. 3/5 ( x - 1)
b. 3/5 (x - 5)
c. 3(1/5 x - 1)
d. 3 - 3/5 x
Answer:
B&C are the answers.
I’m not good at makeing Word problems
A car rental firm has the following charges for a certain type of car: $25 per day with 100 free miles included, $0.15 per mile for more than 100 miles. Suppose you want to rent a car for one day, and you know you'll use it for more than 100 miles. What is the equation for relating the cost y to the number of miles x that you drive the car?
y = 25 + 0.15x is the equation for relating the cost y to the number of miles x that you drive the car
Solution:
Let "y" be the total cost of car rental
Let "x" be the number of miles you drive the car for more than 100 miles
A car rental firm has the following charges for a certain type of car:
$25 per day with 100 free miles included, $0.15 per mile for more than 100 miles
Suppose you want to rent a car for one day, and you know you'll use it for more than 100 miles
Therefore,
Car is rented for one day
You will use it for more than 100 miles
Therefore, equation is framed as:
Total cost = $ 25 + 0.15(number of hours)
[tex]Total\ Cost = 25 + 0.15x\\\\y = 25 + 0.15x[/tex]
Thus the equation for relating the cost y to the number of miles x that you drive the car
Assuming a person from this survey is selected at random, what is the probability that a person perfers rap music given that the person is female?
Answer:
The probabiliy of selecting a person who prefeers rap if the person is female an be calculated as the proportion of women who prefeer rap music: 23.6%.
Step-by-step explanation:
The total amount of persons in the survey is 200: women in the sample equal to 106 ( 54 of them preferred techno music, 45 of them prefeer rap and 27 of them prefeer country music), while there are 94 men in the sample (36 of them preferred techno music, 40 of them prefeer rap and 18 of them prefeer country music).The probabiliy of selecting a person who prefeers rap if the person is female can be calculated as the proportion of women who prefeer rap music: [tex]\frac{25}{106}=23.6\%[/tex]. Knowing that the person is a female gives you information, you are no longer looking at the 200 person survey, you are interest in a part of it: the women participants. Then, conditional on knowing that the person is a women (then, we are looking at the 106 cases in which the persons of the survey are women), we now find the probability of finding women who prefeer rap music: 25 between 106 cases, which is [tex]23.6\%[/tex] .Morgan wrote the number 54,123. Then she wrote another number in which the 2 digit has 10 times the value it has in 54,123
421 divided by 27 with reminders
Answer:
15 remainder 16
Step-by-step explanation:
421 divided by 27 with remainders is equal to 15 remainders 16.
We have,
When dividing 421 by 27, we get a quotient of 15 and a remainder of 16.
The division can be expressed as:
421 ÷ 27 = 15 with a remainder of 16.
This means that 421 can be divided by 27 a total of 15 times, with a remaining value of 16.
Thus,
421 divided by 27 with remainders is equal to 15 remainders 16.
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What is the sum of x,three-fourths x, and 90% of z
The sum of x, three-fourths x, and 90% of z is x + (3/4)x + 0.9z.
Explanation:
The sum of x, three-fourths x, and 90% of z is calculated by adding these three terms together. Let's break it down:
x is simply x, no changes or calculations needed.
Three-fourths x can be written as (3/4)x.
90% of z can be written as 0.9z.
Therefore, the sum of x, three-fourths x, and 90% of z is x + (3/4)x + 0.9z.
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2. Find f(-1).
f(x) = x2-4x+2
X+7
Round your answer to the nearest hundredth.
Step-by-step explanation:
[tex]f(x)=\dfrac{x^2-4x+2}{x+7}\\\\f(-1)=\text{put}\ x=-1\ \text{to}\ f(x):\\\\f(-1)=\dfrac{(-1)^2-4(-1)+2}{-1+7}=\dfrac{1+4+2}{6}=\dfrac{7}{6}[/tex]
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Which is an equation of the line that
passes through the points (5, 2) and
(10, -3)?
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What is the solution set to the inequality (x-3)(x+5) ≤ 0
Answer: x less than or equal to 3, x less than or equal to -5.
Step-by-step explanation:
split into two
x-3<0 // x+5<0
x<3 // x<-5
Answer:
-5 ≤ x ≤ 3
Interval notation : [-5 , 3]
Step-by-step explanation:
Look at the photo below for the details.
:)
pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeSimplify -2^3
Answer:
Therefore,
[tex](-2)^{3}=-8[/tex]
Step-by-step explanation:
Simplify
-2^3
[tex](-2)^{3}[/tex]
It is read as negative 2 raised to the power three,
also it is the cube of negative 2
we know that [tex]a^{3}[/tex]given as
[tex]a^{3}=a\times a\times a[/tex]
so for negative a i.e -a
[tex](-a)^{3}=-a\times -a\times -a[/tex]
substituting a = 2 we get
[tex](-2)^{3}=-2\times -2\times -2[/tex]
negative sign multiplied by odd number of times then the sign remains negative.
Therefore,
[tex](-2)^{3}=-8[/tex]
What is the sum of 1/3 and 1/6
assuming that each salesperson earned commission on all items he or she sold who earned the most commission
Answer:
ITS RUTH
Step-by-step explanation:
To know who earned the most commission, one must multiply the number of items sold by each salesperson by their respective commission rates. The one with the highest total is the salesperson who earned the most commission.
Explanation:To determine who earned the most commission, you first need to have concrete data. This should include the number of items each salesperson sold and the commission rate or amount associated with each item.
Multiply the number of items each person sold by the respective commission to get the total commission earned by each salesperson.
The salesperson with the highest total commission is the one who earned the most. For instance, if salesperson A sold 50 items with a commission of $2 per item, their total commission would be 50*2 = $100.
If salesperson B sold 30 items at $5 per item, their total would be 150.
Hence, in this situation salesperson B earned more commission even though they sold fewer items.
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See attached photo!! Please help Asap!!! CORRECT ANSWERS ONLY!! THANKS IN ADVANCE!!
Which construction might this image result from?
A.
construction to copy a line segment
B.
construction of a perpendicular bisector
C.
construction of a perpendicular to a line through a given external point
Answer:
C. construction of a perpendicular to a line through a given external point
Step-by-step explanation:
The crossing arcs below the line are equidistant from the marked points on the line (J and K), and those are equidistant from point A. If we call the point of intersection of those crossing arcs point X, we know that AX is a perpendicular bisector of JK.
However, J and K are not part of the "given" of this construction. Rather, they are the result of the first step of drawing arcs centered at A. So the fact that AX bisects JK is not important. What is important is that AX is perpendicular to the line and goes through the given point A.
This is a partially-completed construction of a perpendicular to a line through the given external point A.
4x2 - 14 + y - (8 + 13)
What is the value of the expression when x = 4 and y = 7?
OA. 67
OB. 9
Oc. 41
OD. 35
if carlos did some work and got 3x + 2x - 6 = 24 what mistake did he make
Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.
Step-by-step explanation:
Carlos did the work as 3 x + 2 x - 6 = 24
We need to find his mistake that he made in above given.
Here, he did not add the like terms (3 x and 2 x)
3 x + 2 x = 5 x
Therefore, his work should be
5 x - 6 = 24
Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be
5 x - 6 = 24
+ 6 = + 6
-----------------------
5 x = 30
Dividing 30 by 5, we get answer as '6'. Hence,
[tex]x=\frac{30}{5}[/tex] = 6
So, stated the above two are the mistakes found in carlos work.