let us find the slope using 2 points
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{1-7}{-6-3} \\ m=\frac{-6}{-9} \\ m=\frac{2}{3} \end{gathered}[/tex]Therefore let us find y
[tex]\begin{gathered} \frac{2}{3}=\frac{y-1}{9+6} \\ \frac{2}{3}=\frac{y-1}{15} \\ \text{cross multiply} \\ 30=3(y-1) \\ 30=3y-3 \\ 33=3y \\ y=\frac{33}{3} \\ y=11 \end{gathered}[/tex]Sarah took a survey asking students if they prefer summer or winter sports. She found that 12 out of 18 students prefer summer sports. Determine what fraction of students prefers winter sports. Write your response in simplest form Explain how you found your answer. (answer tomorow i have a test)
If 12 out of 18 students prefer summer sports, then the fraction of students prefer winter sports is 33.33%
Total number of students = 18
The number of student prefer summer sports = 12
Then the number of student who prefer winter sports = Total number of students - The number of student prefer summer sports
= 18 - 12
= 6 students
The percentage is number that can be represented as the fraction of 100.
It is denoted by the percentage sign "%"
Then the fraction of students who prefer winter sports = (Number of student who prefer winter sports /Total number of students )×100
= (6/18) × 100
= 33.33%
Hence, if 12 out of 18 students prefer summer sports, then the fraction of students prefer winter sports is 33.33%
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A. In a game, each player receives the same
amount of play money. They each get
twenty-five $1's, three $5's, four $10's, two
$100's. How much money does each player
get?v
2y^2-5y=12. can someone help me solve the quadratic equation using the quadratic formula.
Answer:
y = 4 y = -3/2 = -1.5Step-by-step explanation:
According to quadratic formula:
y = - b ± √ b²- 4ac / 2a
y = - (-5) ± √ -5²- 4(2x-12) / 2(2)
y = 5 ± √ 25 - 4(-24) / 4
y = 5 ± √ 25 - (-96) / 4
y = 5 ± √ 121 / 4
y = 5 ± √ (11)² / 4
y = 5 ± 11 / 4
Now either,
y = 5 + 11 / 4
y = 4
Or,
y = 5 - 11 / 4
y = -3/2 = -1.5
HELP I WOULD LIKE SOME TIPS ON HOW TO SOLVE
Answer:
Slope: 1/4
Step-by-step explanation:
The slope formula is rise/run.
Find the two points at which the line crosses.
Hope this helps :)
Tips: To find the slope, you can find the change in y over the change in x. Pick any two points on the line, for example: (0,3) and (4,4). To find the change in y, take the y value of one ordered pair and subtract it from the other. Then take this value and divide it by the difference of the corresponding x values.
ex:
4-3/4-0
slope: 1/4
You can also count the “rise” over “run” from (0,3). You can see that you move up 1 unit and right 4 units to get to (4,4), meaning the slope is 1/4 (rise 1, run 4)
Describe the relationship between GPE and kinetic energy
Step-by-step explanation:
when an object gains height, Kinetic energy in the object is converted to gpe. gpe = mgh
when an object loses height and falls down, the object is accelerated by gravity (free fall) therefore, gains velocity which means the gpe is converted to kinetic energy.
kinetic energy = 1/2 × m × v²
this is applicable only when the mass is constant.
hope it helps. :)
massachusetts state standard write a linear two-variable equation for a line that is parallel or perpendicular to a given line and goes through a given point.
The equation of the parallel line is y = m(x-a) + b.
The equation of the perpendicular line is y = (-1/m)(x-a) + b.
Let the equation of the given line be y = mx + c.
Let the coordinates of the passing point be (a, b).
We need to find the equation of the parallel line.
The slope will remain the same.
y = mx + c'
The line passes through (a, b).
b = ma + c'
y = mx + (b-ma)
y = m(x-a) + b
We need to find the equation of the perpendicular line.
The slope will be the negative reciprocal.
y = (-1/m)x + c"
The line passes through (a, b).
b = (-1/m)a + c"
y = (-1/m)x + (b+a/m)
y = (-1/m)(x-a) + b
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3n -4 =11 i need to show solving steps
Answer:
n=5Step-by-step explanation:
To solve this, find the value of n to one side of the equation.
N is a variable.
Variable is a quantity that can assume any of a set of values.
3n-4=11
First, you add by 4 from both sides.
[tex]\sf{3n-4+4=11+4}[/tex]
Solve.
[tex]\sf{11+4=15}[/tex]
[tex]\sf{3n=15}[/tex]
Then, you divide by 3 from both sides.
[tex]\sf{\dfrac{3n}{3}=\dfrac{15}{3} }[/tex]
Solve.
15/3=5
[tex]\Rightarrow \boxed{\sf{n=5}}[/tex]
As a result, the solution is n=5, which is our answer.
I hope this helps, let me know if you have any questions.
What’s the answer asp
Answer:
the 61 curv should lead to ars so the answer is ars
angie just bought a new lamp for her bedside table.the old lamp was 2 1/4 feet tall and the new lamp is 4 feet how much taller is the new lamp than the old lamp?
Three monkey's walk into a motel on the Curious George Hotel and ask for a room. The desk clerk says a room costs 30 bananas, so each monkey pays 10 bananas towards the cost.Later, the clerk realizes he made a mistake, that the room should have been 25 bananas. He calls the bellboy over and asks him to refund the other 5 bananas to the 3 monkeys. The bellboy, not wanting to make a mess dividing the 5 bananas three ways, decides to lie about the price, refunding each monkey I banana, keeping the other 2 bananas for himself. Ultimately cach monkey paid 9 bananas towards the room and the bellboy got 2 bananas, for a total of 29 bananas. But the original charge was 30 bananas.Where did the extra 1 banana go?
Step 1
Given;
[tex]\begin{gathered} Cost\text{ for a room= \$30} \\ Each\text{ monkey pays 30 bananas} \\ Clerk\text{ ask bell boy to refund 5 bananas} \\ Bell\text{ boy refunds 3 bananas} \\ Bell\text{ boy keeps 2 bananas} \end{gathered}[/tex]Required; To determine where 1 banana went if 29 bananas are accounted for.
Step 2
Here is the break down; the balance should be like this;
[tex]\begin{gathered} 25\text{ bananas-room} \\ 3\text{ banans\lparen3}\times1\text{ banana\rparen- back to monkeys} \\ 2\text{ bananas- Bell boy} \\ Total-30\text{ bananas} \end{gathered}[/tex]Hence, there is no extra 1 banana, The monkeys spent 27 bananas of which the bellboy took 2 bananas and 25 bananas went to the room, and 3 bananas where returned to them. A total of 30 bananas
B A In this figure, AB || CD and m/3 120 What is m/6? D Enter your answer in the box.
Answer
Explanation
AB is parallel to CD and then, there's a transversal that cuts across the two lines. We are given that Angle 3 = 120°
But we ca see from the figure that Angle 3 and Angle 2 lie on the same straight line.
And we know that the sum of angle on a straight line is 180°.
Hence,
(Angle 3) + (Angle 2) = 180°
120° + Angle 2 = 180°
Angle 2 = 180° - 120°
Angle 2 = 60°
Then again, we can see that AAA
To encourage Bob to do his homework better, his mother said she would pay him 10 cents for each right answer and subtracts 5 cents for each wrong answer. If he earned 20 cents after doing 32 problems, how many problems did Bob get right? How many did he get wrong? How many would he have to get right to earn more than a dollar?
To get more than a dollar, Bob needs to earn at least 110 cents. Bob already has 20 cents. He needs to get 9 right to earn over a dollar.
If Bob gets 9 right, Bob would earn 90 cents more. 90 + 20 = 110 cents = $1.1
What is an Algebraic Expression?Algebraic Expression: An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms
Bob correctly answered 12 questions, so
Bob mis-answered 20 questions.
Let x be the number of questions that he correctly answered.
Let y be the number of questions that he answered incorrectly.
Bob's mother promised to give him 10 cents for each accurate response. This implies that he would receive $10x for correctly answering x questions.
Bob's mother informed him that she would deduct $5 for each incorrect response. This implies that if he answers y questions incorrectly, Bob will forfeit.
- $5y.
Bob completed 32 problems, which indicates that
x + y = 32
After solving 32 tasks, Bob received 20 cents, which indicates that
10x - 5y = 20 - - - - - - - - -1
When x = 32 - y is substituted into equation 1, it produces
10(32 - y) - 5y = 20
320 - 10y - 5y = 20
- 10y - 5y = 20 - 320
- 15y = - 300
y = - 300/ -15 = 20
Substituting y = 20 into x = 32 - y, it becomes.
x = 32 - 20 = 12
To get more than a dollar, Bob needs to earn at least 110 cents. Bob already has 20 cents. He needs to get 9 right to earn over a dollar.
If Bob gets 9 right, Bob would earn 90 cents more. 90 + 20 = 110 cents = $1.1
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Santiago is going to invest in an account paying an interest rate of 3.3% compounded annually. How much would Santiago need to invest, to the nearest ten dollars, for the value of the account to reach $81,000 in 16 years?
Santiago needs to invest 50467.3 dollars for the value of the account to reach $81,000 in 16 years at a rate of 3.3%.
What are simple and compound interests?Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.
Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
Given Santiago is going to invest in an account paying an interest rate of 3.3% compounded annually for the value of the account to reach $81,000 in 16 years.
We know the formula of compound interest which is A = P(1 + r/100)ⁿ,
where A = Amount, P = Principle, n = Time in years and r = rate percentage.
∴ 81000 = P( 1 + 3.3/100)¹⁶.
81000 = P( 1 + 0.03)¹⁶.
81000 = P( 1.03)¹⁶.
81000 = P×1.605.
P = 81000/1.605
P = 50467.3 dollars.
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can someone help me with this please?
Step-by-step explanation:
compare the x-intercepts for the two linear functions represented in the table below. which of the following statements is true?
• Given Function A:
[tex]-4x+2y=-2[/tex]You need to remember that, by definition, the value of "y" is zero when the function intersects the x-axis.
Therefore, you need to set up that:
[tex]y=0[/tex]Substitute this value into the function and then solve for "x", in order to find the x-intercept:
[tex]\begin{gathered} -4x+2(0)=-2 \\ -4x=-2 \\ \\ x=\frac{-2}{-4} \\ \\ x=\frac{1}{2} \end{gathered}[/tex]• Given that Function B passes through these points:
[tex](0,-1),(3,2)[/tex]You need to determine the equation of the line, in order to find the x-intercept using it.
The Slope-Intercept Form of the equation of a line is:
[tex]y=mx+b[/tex]Where "m" is the slope of the line and "b" is the y-intercept.
By definition, the value of "x" is zero when the function intersects the y-axis. Therefore, knowing the first point given in the exercise (whose x-coordinate is zero), you can determine that, for this line:
[tex]b=-1[/tex]Substitute "b" and the coordinates of the second point into this equation:
[tex]y=mx+b[/tex]And then solve for "m":
[tex]\begin{gathered} 2=m(3)-1 \\ 2+1=3m \\ \\ \frac{3}{3}=m \\ \\ m=1 \end{gathered}[/tex]Therefore, the equation of Function B in Slope-Intercept Form is:
[tex]y=x-1[/tex]Now you can find the x-intercept by using the procedure used for Function A:
[tex]\begin{gathered} 0=x-1 \\ x=1 \end{gathered}[/tex]You know that:
[tex]\frac{1}{2}<1[/tex]Hence, the answer is: Third option.
Simplify the expression.
(3x/2)4
Answer:
6x
Step-by-step explanation:
4 * 3x = 12x
12x / 2 = 6x
Describe in words a sequence of transformations that maps △ABC to △A^' B^' C^'.
Write an ordered-pair rule for this sequence of transformations.
If sequence of transformations that maps △ABC to △A^' B^' C^'.The sequence of transformation is 90 degrees counterclockwise rotation, followed by a vertical translation to the right by 2 unit. The ordered pair-rule for each are (x,y) tends to (-x,-y)
What is Transformation ?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
Image is the original shape of the object and final shape ond position of the object is the preimage.
In the given figure,
original image is △ABC and △A^' B^' C^' is the preimage.
Transformation includes changing the position of a shape.
The steps followed for transformation include rotating the image to 90 degrees counterclockwise rotation, later by a vertical translation to the right by 2 unit.
The ordered pair-rule for each are (x,y) tends to (-x,-y)
Hence △ABC is the original image and △A^' B^' C^' is the preimage and The ordered pair-rule for each are (x,y) tends to (-x,-y)
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Afineni did 65% of her math homework on Thursday. She has 7 problems left. How many problems were on Afineni’s math homework?
Answer:
20 problems.
Step-by-step explanation:
She has 100 - 65 = 35% of her problems left.
35% is equivalent to 7 problems,
so, 100% = 7 * 100/35
= 100/5
= 20 problems
Is parallelogram PQRS a rhombus?
Q
P
T
R
☆
S
Answer:
I believe yes.
Step-by-step explanation:
280 grams - 23grams=
Katie bought a piece of fabric that was 8.5 meters long. Then she cut 0.32 meters of it off to use in a sewing project. How much fabric is left?
Answer:
8.18
Step-by-step explanation:
Answer:
8.18
Step-by-step explanation:
8.50
-0.32=8.18
you subtract 0.32 from 8.5 meaning you are going to add a zero on 8.5 because the number that you are subtracting has two numbers after the decimal point
If you need 20 m of timber at $18.50/m, how much would it cost?
Answer:
$370
Step-by-step explanation:
20m times 18.5per m
20x18.5=$370
Answer:
Rs370
Step-by-step explanation:
Here,
1m= Rs18.50
Therefore, 20m = 20*18.50
= 370
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Express each number in scientific notation.
1) 0.0056
3) 4,085
5) 0.000796
Standard and Scientific Notations
50,413
11
11
2) 24,010
4) 0.017
6) 952
8) 0.004
Answer:
Express each number in scientific notation.
1) 0.0056 = 5.6 × 10^-3
3) 4,085 = 4.085 × 10³
5) 0.000796 = 7.96 × 10^-4
Standard and Scientific Notations
50,413 = 5.0413 × 10^4
11 = 1.1 × 10^1
11 = 1.1 × 10^1
2) 24,010 = 2.401 × 10^4
4) 0.017 = 1.7 × 10^-2
6) 952 = 9.52 × 10^2
8) 0.004 = 4 × 10^-3
6. Serita worked 6 h and earned $31.50.
What is her hourly wage?
In linear equation, $5.26 is her hourly wage .
What is linear equation in math?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.Ax+By=C is the typical form for linear equations involving two variables. A standard form linear equation is, for instance, 2x+3y=5. It is rather simple to locate both intercepts when an equation is stated in this way (x and y).Serita worked 6 h and earned $31.50.
1 hour of wage of serita = $31.50/6
= $5.26
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Please Look At The Image!!
Answer:
1. Angle A + Angle C = 180 degrees, hence Angle B cannot have a value is ABC is a triangle
2. If Angle A = 90 and Angle C = 90, line AB is parallel to AC and therefore these two lines cannot touch and form a triangle
Step-by-step explanation:
Answer:A triangle can’t have two right angles.
Step-by-step explanation: Three angles inside of a triangle have to sum to 180°. In this triangle the sum of angels will be greater than 180° which is not possible.
pls help wil give brainliest
A bicycle travels at a speed of 2,808 inches
per minute. The radius of each tire on the
bicycle is 3 feet. Approximately how many
revolutions does one of these tires make in 2 minutes?
(Use the approximation 22/7 for n.)
A. 12
B 25
C. 32
D. 46
In one revolution, cycle travels 18.84 feet.
What is unitary method?A problem can be resolved using the unitary method by first calculating the worth of a single unit, and then multiplying that amount to find the required value. A single or unique unit is referred to as unitary. Determining values in relation to a single unit is the goal of this strategy. For instance, we can use the unitary technique to determine how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel. With the unitary method, you first determine the value of a single unit before determining the value of the necessary quantity of units.
Radius = 3 feet
If r is the radius of the wheel (including the tire), then the circumference of the wheel = 2πr
= 2 x 22/7 x 3 feet
= 18.84 feet
In one revolution, cycle travels 18.84 feet.
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question in the screenshot
Answer: 6.4
Step-by-step explanation:
what is tan x + cot x ?
pls help
Answer:
cosecxsecx
Step-by-step explanation:
[tex]\hookrightarrow tanx+cotx\\\\\hookrightarrow \frac{sinx}{cosx} +\frac{cosx}{sinx} \\\\\hookrightarrow \frac{sin^{2}x+cos^{2}x }{sinxcosx} \\\\\hookrightarrow \frac{1}{sinxcosx} \\\\\hookrightarrow cosecxsecx[/tex]
Why is it important to regroup correctly?
Answer:
it is important to regroup correctly so that you don't get the wrong answer instead of the right one
