y doesn't vary directly with x
Write an equation of the line through (6,-5) having slope 0. Give the answer in standard form.
0x + 1y = -5 is the standard form of equation
Solution:
Given that we have to write the equation of line passing thorugh (6, -5) and has slope 0
The equation of line in slope intercept form is given as:
y = mx + c ---------- eqn 1
Where, "m" is the slope of line and "c" is the y - intercept
Given that, m = 0
Given point is (6, -5)
To find the y - intercept:
Substitute (x, y) = (6, -5) and m = 0 in eqn 1
-5 = 0(6) + c
c = -5
Substitute c = -5 and m = 0 in eqn 1
y = 0x + (-5)
y = -5
The standard form of equation is given as:
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
y = -5
0x + 1y = -5 is the standard form of equation
Mr. Lane’s math classes had the pass rates shown. In class 1, 16 out of 24 passed. In class 2, of the class passed. In class 3, 75% of the class passed. In class 4, 0.81 of the class passed. Which class had a pass rate that was exactly 5% greater than another class’s pass rate?
A.Class 1 B. Class 2 C. Class 3
Answer:
Answer 4/5 or class 2
Step-by-step explanation:
4/5=0.80 Class 3 is 70% 75+5=80, or 80%
Final answer:
After converting the pass rates of the classes to percentages, none of the classes have a pass rate that is exactly 5% greater than another class's pass rate.
Explanation:
The student's question pertains to comparing the pass rates of different math classes to determine which class had a pass rate that was exactly 5% greater than another class's pass rate. To answer this, we need to convert the pass rates for each class to a percentage and then compare them.
For class 1, the pass rate is 16 out of 24, which can be converted to a percentage by dividing 16 by 24 and then multiplying by 100, resulting in approximately 66.67%. Class 3 has a pass rate of 75%, as provided. Class 4 has a pass rate of 0.81, which is already in a decimal format comparable to a percentage; it is simply 81% when expressed as a percentage.
By comparing these percentages, we find that Class 3's pass rate is exactly 5% greater than Class 1's pass rate (75% - 66.67% = 8.33%, which is more than 5%). Therefore, none of the classes have a pass rate that is exactly 5% greater than another class's pass rate.
Look at the following sequence.
128, 320, 800, 2000, . . .
If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose “not geometric.
Answer:
geometric sequence
Step-by-step explanation:
If the sequence is geometric then there must be a common ratio r between consecutive terms, that is
320 ÷ 128 = 2.5
800 ÷ 320 = 2.5
2000 ÷ 800 = 2.5
Since there is a common ratio r = 2.5 between consecutive terms.
Then the sequence is geometric
solve for x: 12x-20=6(x-20)-9x
Answer:
Step-by-step explanation:
12x-20=6(x-20)-9x
Opening bracket
12x - 20 = 6x - 120 - 9x
Collecting like terms
12x - 6x + 9x = -120 + 20
15x = -100
Dividing by 15
15x/15 = -100/15
x = -20/3
x = - 6 2/3
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
12x - 20 = 6( x - 20) - 9x
pay attention to the brackets as you simplify.
Let's work on it:
12x - 20 = 6x - 120 -9x
Collecting like terms to further simplify the equation.
12x - 6x + 9x = -120 + 20
15x = -100
Let's make x the subject formula by dividing through by 15
Therefore:
x = -100 / 15
Divide through by 5
x = -20 / 3
Since nothing can easily divide through, we turn it to a mixed fraction
x = - 6 2/3
( Minus six whole number, two divided by three)
Solve for t: 3x8= t+15
Hey there!
I'm going to set up the equation slightly different.
[tex](3)(8)=t+5\\24=t+5\\t+15=24\\t+15-15=24-15\\t = 9 \checkmark[/tex]
Answer:
t = 9
Step-by-step explanation:
3x8 = t + 15
24 = t + 15
t = 24 - 15
t = 9
A restaurant sells drinks in 3 sizes of cups: small, medium, and large. The small cup costs $.89 and holds 9 ounces. The medium cup costs $1.29 and holds 12 ounces. The large cup costs $1.59 and holds 15 ounces. Which size cup costs the least per ounce?
Answer: the small cup cost the least per ounce
After calculating the cost per ounce for each cup size, we find that the small cup costs the least per ounce at $0.0989, making it the best value.
To determine which size cup offers the best value per ounce, we need to calculate the cost per ounce for each size. This can be done by dividing the cost of each cup by the number of ounces it holds.
For the small cup: $.89 / 9 ounces = $0.0989 per ounce
For the medium cup: $1.29 / 12 ounces = $0.1075 per ounce
For the large cup: $1.59 / 15 ounces = $0.106 per ounce
Now, comparing the cost per ounce for each cup size, we can see that the small cup offers the best value at $0.0989 per ounce.
Solve for x, 12y+6=6(y+1)
For this case we must solve the following equation:
[tex]12y + 6 = 6 (y + 1)[/tex]
We apply distributive property on the right side of the equation:
[tex]12y + 6 = 6y + 6[/tex]
We subtract 6y on both sides of the equation:
[tex]12y-6y + 6 = 6\\6y + 6 = 6[/tex]
We subtract 6 from both sides of the equation:
[tex]6y = 6-6\\6y = 0[/tex]
Dividing by 6 on both sides of the equation:
[tex]y = 0[/tex]
So, the result is [tex]y = 0[/tex]
Answer:
[tex]y = 0[/tex]
can someone help me figure out this
Answer:
Therefore the first option gives the correct answer of a system of equations which has exactly one solution.
Step-by-step explanation:
i) the second option is 2x + 2y = 1 and -2x -2y = 1 . these two equation can be written as 2x + 2y = 1 and 2x + 2y = -1. Therefore we can see that that the expressions for used for the variables x and y are the same but the result is different. This is not possible and so there will be no solutions for these two equations
ii) the third option is 3x + y = -1 and 6x + 2y = -2. therefore these two equations can be written as 3x + y = -1 and 3x + y = -1 (dividing the second equation by 2) and thus we see that both the equations are exactly the same and hence these two equations will have an infinite number of solutions.
iii) the last option is 3x - 2y = 4 and -3x + 2y = 4. these two equations can be written as 3x - 2y = 4 and 3x - 2y = -4. Again we can see in this case that the two equations are exactly the same and therefore these two equations will have an infinite number of solutions.
iv) the remaining option is the first one 2x + y = 3 and 5x - y = 11. If we add the first equation to the second one we 7x = 14 and therefore x = 2. If we substitute x = 2 in the first equation we get (2 × 2) + y = 3, therefore y = -1.
Therefore the first option gives the correct answer of a system of equations which has exactly one solution.
Classify the following triangle. Check all that apply.
A. Scalene
O
B. Obtuse
I
C. Acute
D. Right
E. Equilateral
O
F. Isosceles
Answer:
Right and isosceles
Step-by-step explanation:
Apex
Which inference can be made about the cars?
Answer:
Bout which cars?
Step-by-step explanation:
Sorry, but I think you've missed out a part of the question
Solve each system by elimination.
-4x + 8y = -24
7x - 5y = 24
Answer:
The solution is the point (2,-2)
Step-by-step explanation:
we have
[tex]-4x+8y=-24[/tex] -----> equation A
[tex]7x-5y=24[/tex] -----> equation B
step 1
Multiply by 7 equation A both sides
[tex]7(-4x+8y)=7(-24)[/tex]
[tex]-28x+56y=-168[/tex] -----> equation C
step 2
Multiply equation B by 4 both sides
[tex]4(7x-5y)=4(24)[/tex]
[tex]28x-20y=96[/tex] -----> equation D
step 3
Adds equation C and equation D
[tex]-28x+56y=-168\\28x-20y=96\\-----------\\56y-20y=-168+96\\36y=-72\\y=-2[/tex]
Find the value of x
substitute the value of y in any equation
equation A
[tex]-4x+8(-2)=-24\\4x=-16+24\\4x=8\\x=2[/tex]
therefore
The solution is the point (2,-2)
The graph of a linear function F is given
Answer:
Step-by-step explanation:
This line goes through the y-axis at 6; therefore, the coordinate at this point is (0, 6).
This line goes through the x-axis at 2; therefore, the coordinate at this point is (2, 0).
The rate of change of a linear function (aka a line) is the slope of the line. We can use the slope formula to solve for the slope:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Filling in with our coordinates:
[tex]m=\frac{0-6}{2-0}=-\frac{6}{2}=-3[/tex]
The rate of change is -3. This means that y decreases 3 with every increase in x of 1.
Practice
Simplify each expression by combining like terms.
1. 6x + 4x
2. – 5y + 2y
3. – 3m - 8(m + 1)
4. -81r - 2) + 6(r - 2) -
5. 9m - 7m + 13
Yvette earns a $45,000 salary plus a 12% commission on any sales over $10,000. Last year Yvette made $30,000 in sales. How much did Yvette
earn in salary plus commission?
O A. $46,000
OB. $46,200
OC. $46,500
OD. $47,400
O E.
$48,600
Option D
The total earnings of Yvette is $ 47, 400
Solution:
Given that, Yvette earns a $45,000 salary plus a 12% commission on any sales over $10,000
Last year Yvette made $30,000 in sales
Subtract 10,000 from her sales to get the amount she earns commission on:
30,000 - 10,000 = 20,000
Since Yvette gets 12% commission
So amount earned as commission would be 12% of $20,000
[tex]\text{Commission}=20000\times \frac{12}{100}\\\\\text{Commission}=20000\times 0.12\\\\\text{Commission}=2400\left\\\\[/tex]
Yvette also gets a salary of $45,000, so Yvette's total earnings would be $45,000 plus $2,400
[tex]Total\ Earnings = 45000 + 2400 = 47400[/tex]
Thus total earnings of Yvette is $ 47, 400
Answer:
D
Step-by-step explanation:
Which of the following angles has a measure of 20 degrees?
Answer:
Hence, the supplement of a 20˚ angle is a 160˚ angle. This can be proven again, since 20+160=180 , and supplementary angles have a sum of 180˚ .
Step-by-step explanation:
The answer is: ∠BOA
(Had the same question)
BTW, you forgot to add the picture. That's why no one understands this, unless they had this question in their school work.
Make x the subject of the formula
6x +a =5t(x+t)
Answer:
[tex]x=\frac{5t^2-a}{6-5t}[/tex]
Step-by-step explanation:
Given equation is
[tex]6x+a=5t(x+t)[/tex]
We have to make [tex]x[/tex] the subject of formula. That means we have to isolate [tex]x[/tex].
[tex]6x+a=5t(x+t)[/tex]
Distribute [tex]5t[/tex]
[tex]6x+a=5tx+5t^2[/tex]
Subtract [tex]a[/tex] both side we get,
[tex]6x+a-a=5xt+5t^2-a[/tex]
[tex]6x=5xt+5t^2-a[/tex]
Subtract [tex]5xt[/tex] both side we get,
[tex]6x-5xt=5xt-5xt+5t^2-a\\6x-5xt=5t^2-a[/tex]
Now, take [tex]x[/tex] common from left side of equation
[tex]x(6-5t)=5t^2-a[/tex]
Divide [tex]6-5t[/tex] both side,
[tex]\frac{x(6-5t)}{6-5t}=\frac{5t^2-a}{6-5t}\\\\x=\frac{5t^2-a}{6-5t}[/tex]
Which algebraic expression represents “the difference of fifty-four and seven times a number”? 54 minus 7 n StartFraction 54 Over 7 n EndFraction 7 minus 54 n 54 + 7 n
Answer: 54-7n
Step-by-step explanation:
When we talk about mathematical language, the difference between two numbers, quantities or terms is the substraction operation.
For example, the difference between a and b is:
a-b
On the other hand, if we read a numer c times a number n, this means both numbers are multiplied.
For example:
c times n is:
(c)(n)
So, according to the explained above, “the difference of fifty-four and seven times a number n” is:
54-7n
Answer:
Answer: 54-7n
Step-by-step explanation:
When we talk about mathematical language, the difference between two numbers, quantities or terms is the substraction operation.
For example, the difference between a and b is:
a-b
On the other hand, if we read a numer c times a number n, this means both numbers are multiplied.
For example:
c times n is:
(c)(n)
So, according to the explained above, “the difference of fifty-four and seven times a number n” is:
54-7n
and recall the you can divide everything by 100 like 74/n n=100 so 74/100
see and pls give me brainiest
y=5x translate down 3 units
Answer:
y = 5x - 3.
Step-by-step explanation:
The value of y will go down by 3 units so it is
y = 5x - 3.
The equation y = 9 + 3x represents a line with a y-intercept of 9 and a slope of 3. To translate the line down 3 units, subtract 3 from every y-coordinate.
Explanation:The equation y = 9 + 3x represents a line with a y-intercept of 9 and a slope of 3. The y-intercept is the point where the line intersects the y-axis, and in this case, it is the point (0, 9). The slope of 3 means that for every increase of 1 on the horizontal axis, the line rises up 3 units on the vertical axis.
To translate the line down 3 units, we can subtract 3 from every y-coordinate. This means that the equation becomes y = 9 + 3x - 3, which simplifies to y = 6 + 3x.
In the problem above. How much money will be saved per year
Answer: i would help but i'm confused....what problem? can yhu attach it so i could help??! - Lexi@helps
Step-by-step explanation:
Tower A is 90 feet tall. Tower B is 180 feet tall. Tower C is 5 times as tall as both Towers A and B combined. How tall is Tower C?
Answer:
1350
Step-by-step explanation:
I added tower A and B together (90+180) Which gives me 270. Then I did;
270 * 5= 1350 ft. Hope its correct!
Final answer:
Tower C is 5 times as tall as the combined height of Tower A (90 feet) and Tower B (180 feet), which together are 270 feet tall. Multiplying this by 5 gives us the height of Tower C, which is 1350 feet.
Explanation:
The question asks us to calculate the height of Tower C given the heights of Tower A and Tower B and the relationship between their heights. Tower A is 90 feet tall, and Tower B is 180 feet tall. According to the question, Tower C is 5 times as tall as both Towers A and B combined.
To find the combined height of Towers A and B, we simply add their heights:
Tower A height: 90 feetTower B height: 180 feetCombined height of Tower A and B: 90 + 180 = 270 feetNow, we need to calculate the height of Tower C:
Height of Tower C = 5 × (Height of Tower A + Height of Tower B)Height of Tower C = 5 × 270 feetHeight of Tower C = 1350 feetTherefore, Tower C is 1350 feet tall.
Which expression can be used to convert 80 US dollars Australian dollars
80 USD × (1.0343 AUD / 1 USD)
Solution:
To convert 80 US dollars into Australian dollars.
1 US dollar = 1.0343 AU dollar
1 AU dollar = 0.9668 US dollar
To find 80 US dollars into Australian dollars multiply 80 US dollars by 1.0343
80 AU dollars = 80 × 1.0343/ 1 USD
The expression is 80 USD × (1.0343 AUD / 1 USD)
Hence, the expression which is used to convert 80 US dollars to Australian dollars is 80 USD × (1.0343 AUD / 1 USD).
The Thompson family made this table when finding their net worth. Use this table to answer the question. Assets Value Liabilities Value Checking and Savings $2,378 Auto Loan $4,502 Automobile $8,765 Credit Cards $435 House Value $135,000 Mortgage $51,208 Furniture, etc. $13,900 Other Loans $1,234 Miniature Collection $238 What are the total assets? $160,281 $165,782 $167,345 $170,890
Answer:
160,281
Step-by-step explanation:
Just add the assets together.
Answer:
$160,281
Step-by-step explanation:
Assets Value Liabilities Value
Checking and Savings $2,378 Auto Loan $4,502
Automobile $8,765 Credit Cards $435
House Value $135,000 Mortgage $51,208
Furniture, etc. $13,900 Other Loans $1,234
Miniature Collection $238
Their total assets is obtained adding the values of each asset, as follows:
$2,378 + $8,765 + $135,000 + $13,900 + $238 = $160,281
Find the measure of x in each figure
Answer:x=40
Step-by-step explanation:
The measure of x in each figure, you need to solve the equation 4x + 20 = 180° by isolating the term with x and then solving for x. The solution is x = 40°, so the measure of x is 40 degrees.
The value of x. The given equation is 4x + 20 = 180°, representing a linear pair of angles.
Subtract 20 from both sides of the equation to isolate the term with x:
4x + 20 - 20 = 180 - 20
4x = 160°
Divide both sides of the equation by 4 to solve for x:
(4x)/4 = 160/4
x = 40°
Therefore, the solution to the equation is x = 40°.
If p = 19 then
what does the
following
expression:
(2p - 10) = 2
equals?
Answer:
14
Step-by-step explanation:
(2(19)-10)=2
(38-10)=2
(28)=2
÷2. ÷2
14
Select the correct answer.
How did the printing press help the Scientific Revolution?
O
A.
The printing press made it easier for scientists to conduct initial experiments.
The printing press allowed mass production of books that spread new scientific ideas.
C.
The printing press helped scientists keep their findings private.
D.
The printing press enabled scientists to create scientific societies to discuss their works.
Reset
Next
Answer:
i think correct answer is a
kevin answered 54 out of 60 questions correct on his algebra quiz.what is his score as a percent ? round your answer to the nearest tenth of a percentage point.
Answer:
0.9 / 90%
Step-by-step explanation:
54/60
=0.9
To calculate Kevin's score as a percent, we divide the number of correct answers by the total number of questions and multiply by 100. The answer, rounded to the nearest tenth of a percent, is 90.0%.
Explanation:The subject of this question is Mathematics, particularly the area concerning percentage conversions. Kevin got 54 questions correct out of a total of 60 questions. To find Kevin's score as a percent, we first need to divide the number of questions he answered correctly (54) by the total number of questions (60). This gives us a decimal (0.9). To convert this decimal to a percent, we multiply by 100, which gives us 90%. This is Kevin's raw score. But the question wants the score rounded to the nearest tenth of a percent, so the final answer is 90.0%.
Learn more about Percentage Conversions here:https://brainly.com/question/32297219
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Which undefined terms are needed to define parallel lines?
Point, line
Line, plane
Coplanar, line
Point, coplanar
The undefined terms needed to define parallel lines are "line" and "coplanar," as parallel lines lie in the same plane and never intersect.
To define parallel lines, the undefined terms needed are "line" and "coplanar."
Parallel lines are two lines that lie in the same plane and never intersect, which means they are coplanar and can be extended indefinitely.
So, the correct choice is: Coplanar, line.
- 4 + n/3 less than = to 7
Answer:
all work is pictured and shown
.
Writing the Equation of
a
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (-5, 1)? Check all
that apply.
y=-2x-1
2x + 5y = -5
y=-2x-3
2x + 5y = -15
1= -2.(x + 5)
Answer: 2x + 5y = -5
Step-by-step explanation:
Two lines are said to be parallel if they have the same slope.
The equation of the line given :
2x + 5y = 10
To find the slope , we will write it in the form y = mx + c , where m is the slope and c is the y - intercept.
2x + 5y = 10
5y = -2x + 10
y = -2/5x + 10/5
y = -2/5x + 2
This means that the slope is -2/5 ,the line that is parallel to this line will also have a slope of -2/5.
using the formula:
[tex]y-y_{1}[/tex] = m ([tex]x-x_{1}[/tex] ) to find the equation of the line , we have
y - 1 = -2/5(x -{-5})
y - 1 = -2/5 ( x + 5 )
5y - 5 = -2 ( x + 5 )
5y - 5 = -2x - 10
5y + 2x = -10 + 5
therefore :
2x + 5y = -5 is the equation of the line that is parallel to 2x + 5y = 10
Answer: 2x + 5y = -5
Step-by-step explanation:please see attachment for explanation
Please help asap i will mark branlist
Answer:
B. 3
Step-by-step explanation:
The shape of a box is a square. The volume for a square is lengthxwidthxheight.
For the first box it would be 2x3x6 or 36in.
For the second box, 3x4, which is 12.
Dividing 36 by 12, we get 3.
So 3x4x3 would result in 36in., the same as the first box.