Answer:
[tex]y-1=\frac{1}{12} (x-7)[/tex]
Step-by-step explanation:
Point-slope form is: [tex]y-y_1=m(x-x_1)[/tex] , where (x_1, y_1) is the point given and m is the slope.
The problem gives us two points, actually: (7, 1) and (-5, 0); the second one is the x-intercept because x-intercepts always have a y-coordinates of 0. We can use these two points to find the slope, which is just change in y over change in x: [tex]\frac{1-0}{7-(-5)}=\frac{1}{12}[/tex]. So, the slope = m = 1/12.
Now, we have our point (7, 1) and the slope 1/12, so just plug these into the above format: [tex]y-1=\frac{1}{12} (x-7)[/tex]
Hope this helps!
Answer:
y - 1 = (1/12)(x - 7)
y = (1/12)(x + 5)
You can use either of these
Step-by-step explanation:
Slope using (-5,0) and (7,1)
m = (0-1)/(-5-7) = -1/-12
m = 1/12
y - 1 = (1/12)(x - 7)
Or,
y - 0 = (1/12)(x - -5)
y = (1/12)(x + 5)
Sum of the odd integers between 30 & 54
Answer:
504
Step-by-step explanation:
The sum of the odd numbers between 30 and 54 will be 504.
What are the numbers?A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.
Given numbers are 30 and 54. The sum of the odd integers will be calculated by using the formula below:-
Sn = ( n / 2 ) [ a1 + a2 ]
The total numbers between 30 and 54 will be 12.
Sn = ( 12 / 2 ) [ 31 + 53 )
Sn = 6 x ( 84 )
Sn = 504
Therefore, the sum of the odd numbers between 30 and 54 will be 504.
To know more about numbers follow
https://brainly.com/question/16898529
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A water bottle has a label that is 3.5 inches high. If the bottle has a radius of 2 inches, how much paper would be needed to put labels on one dozen water bottles?
Answer:
527.52 in2 of paper.
Step-by-step explanation:
The area of the water bottle label can be calculated by the product of its circunference length and its height.
The length of its circunference is calculated as:
C = 2 * pi * r
C = 2 * 3.14 * 2 = 12.56 inches
Now, to find the area of the label, we just multiply the length by the height:
Area = C * h = 12.56 * 3.5 = 43.96 in2
As we want to know the amount of paper for 12 water bottles, we multiply the area of one label by 12:
Total Paper = 12 * 43.96 = 527.52 in2
It will be needed 527.52 in2 of paper.
Can you guys answer this question ASAP, thanks will give brainliest
Answer:
J=10
S=6
Step-by-step explanation:
20j+25s=350
j=s+4
are the equations in the system of equations.
If you substitute them into each other they give you your answer.
Answer:
10 ; 6
Step-by-step explanation:
Ironed by Sydney:
25t
Ironed bu Jordan:
20(t+4) = 20t+80
25t + 20t + 80 = 350
45t = 270
t = 6
Jordan: 6 + 4 = 10
At a baseball game, 95% of people attending were supporting the home team, while 5% were supporting the visiting team. If the total number of people attending the game was 1000, how many people attending were supporters of the home team?
Answer:
950 people
Step-by-step explanation:
95% of people attending supported the home team.
1000 people attended the game.
That means that 95% of 1000 people supported the home team.
We need to find 95% of 1000.
To find a percent of a number, multiply the percent by the number. First, change the percent into a decimal by by moving the decimal point two places to the left. Then multiply the percent written as a decimal by the number.
95% of 1000 =
= 95% * 1000
= 0.95 * 1000
= 950
Answer: 950 people
rate of change in the equation y = 5 - 0.5x
i really struggle with these kinda of questions oops
SOLVE
4(5x-2)=2(9x+3)
thanks
Step-by-step explanation:
4(5x-2) = 2(9x+3)
20x-8 = 18x+6
20x-18x = 6+8
2x=14
x= 14/2
∴ x= 7 [ANS]
Mike discovered that the pool in his backyard is leaking slowly. The pool holds 18,968 gallons of water, and is leaking at a rate of 12 gallons per day. If mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool after 68 days?
Answer:
18,152 Gallons
Step-by-step explanation:
First, you'll want to put this into an equation. We'll use x as the amount of water in gallons that will remain in the pool.
18,968 - 12 (68) = x
First, we'll multiply - 12 and 68.
We'd end up with this:
18,968 - 816 = x
From here, we can just subtract 816 from 18,968.
18,152 = x
Now we can see that there will be 18,152 gallons of water left in the pool after 68 days.
Solve 2x^2+5x +5=0 round solutions to the nearest hundredth
Answer: i3
Step-by-step explanation:
Answer:13
Step-by-step explanation:
Before the coffee shop opens the employees bake 40 cookies which is 25 less than the number of donuts they make does the equation x+25=40 describe the situation if not write an equation that does and explain what the variable represents
Answer:
x-25 = 40
Step-by-step explanation:
Let the number of cookies made = x
The employees bake 40 cookies which is 25 less than the number of donuts they make
Number of Cookies is less than Number of Donuts by 25
Therefore the equation that describes the situation is given as:
x-25 = 40 where x is the number of cookies made.
Answer:
The equation is not correct
Step-by-step explanation:
Lets break it down
Cookies = 40
Donuts lets call it x since we dont have a figure
It is said that the 40 cookies is 25 less than the number of donuts
So therefore
x less than 25 = 40
x-25=40
To get x we add 25 to each side
x-25+25=40+25
x=65
Equation should be
x-25=40
That is 65-25 =40
-
Which of the following are alternate exterior angles?
Answer:
Are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.
The diameter of a circle is 7 inches. Find its area to the nearest tenth
Step-by-step explanation:
diameter=7 inches
Area of the circle= π(7/2)² inches²
=38.465
38.5 inches²
Answer:
38.5 inches
Step-by-step explanation:
r = 1/2d
r = 1/2 × 7
r = 3.5
[tex] \boxed{ \bold{formula = \pi \: {r}^{2} }}[/tex]
= 3.14 × 3.5 × 3.5
= 38.465 inches
Find its area to the nearest tenth
38.465 inches
= 38.5 inches
There are 14 girls and 2 boys taking karate lessons. Write the ratio that compares the number of girls taking karate lessons to the total number of students taking karate lessons
Answer:
The correct answer is 7 : 8.
Step-by-step explanation:
There are 14 girls and 2 boys taking karate lessons.
Total number of students taking the karate class is 16.
The ratio that compares the number of girls taking karate lessons to the total number of students taking karate lessons is given by 14 : 16 = 7 : 8.
This can be interpreted as for every 8 students in the karate lesson, 7 of them are girls.
A car moves at 45 miles per hour. The time and the distance it travels are recorded.
What is the dependent variable?
the car
the time
the distance
45
Answer:
the distance
Step-by-step explanation:
More time care travels, more distance it goes. So distance depends of the time.
3. Solve each division problem (reduce if possible):
1/5 divided by 1/10
Answer:
2
Step-by-step explanation:
Because to divde to fractions you multiply the first fraction by the second’s reciprocal. The reciprocal is when you switch the numerator and the denominator.In this case 1/5 times 10/1 which is 2.
Alice, Betty and Carol all have the same amount of money (more than 50 cents but less than a dollar). Alice has two coins, Betty and Carol each have 3 coins, but Betty and Carol do not have any coins that are the same. How much money does each girl have?
Answer:
Each girl has 60 cents.
Step-by-step explanation:
Since they have between 50 cents and 1 dollar, then Alice should have a 50 cent coin and 1 coin of less value (because if she had 2 coins that are worth 25 cents or less, she would have only 50 cents at most).
On the other hand, Both betty and carol need to have a coin that is at least 25 cents worth (because otherwise they would have 30 cents at most), but since they cant have the same coins, then one of them should have one 50 cent coin (and 2 small cent coins) and the other should have at least two twenty five cent coins.
Lets assume that Betty has a 50 cent coin and Carol has two 25 cent coins. Since Alice also has a 50 cent coin, then the remaining coin of Alice should have the same value than the sum of the remaining 2 coins that Betty has.
The values of the coins are 5,10, 25, 50, and 100. Since they cant have 1 dollar coins, then the only possibility for a coin to have the sum of the values of 2 coins is to have a value of 10 (10 = 5+5). Thus:
Alice has one coin of 50 cents and one coin of 10 centsBetty has one coin of 50 cents and two coins of 5 centsCarol has two coins of 25 cents and one coin of 10 centsEach girl has 50+10 = 50+5+5=25+25+10 = 60 cents
Evaluate 8j - k + 14 when j = 0.25 and k = 1.
Steps to solve:
8j - k + 14; j = 0.25 and k = 1
~Substitute
8(0.25) - (1) + 14
~Simplify
2 - 1 + 14
~Subtract
1 + 14
~Add
15
Best of Luck!
Answer:
[tex]8j - k + 14 \\ 8 \times0 .25 - 1 + 14 \\ 2 - 1 + 14 \\ 1 + 14 = 15[/tex]
hope this helps you...
The Wilson family is planning an extended vacation in summer the map they are using has the scale 1 in. = 80 mi. How many inches represent 2,160 miles?
Answer:
27 inches
Step-by-step explanation:
you divide 2160 by 80 to get the number of inches
2160/80=27
Tom and Martha are making punch for a party. The proportions given in the recipe are 2 parts of lemonade to 1 part each of pineapple juice and ginger ale. If they need 6 liters of punch, how many liters of each of the ingredients should they buy?
Answer:
They need to buy 3 litters of lemonade, 1.5 litters of pineaple juice and 1.5 litters of ginger ale.
Step-by-step explanation:
In order to calculate the amount of each ingredient they need for 6 liters of punch we can first create fractions for each ingredient based on the proportions we were given. This is shown bellow:
2 litters lemonade + 1 litter pineapple juice + 1 litter ginger ale = 4 litters punch
Then we have:
lemonade = 2/4
pineaple juice = 1/4
ginger ale = 1/4
If we want to make 6 liters of punch we can just apply this fractions to know how much of each we need:
lemonade = 6*(2/4) = 12/4 = 3 litters
pineaple juice = 6*(1/4) = 1.5 litters
ginger ale = 6*(1/4) = 1.5 litters
They need to buy 3 litters of lemonade, 1.5 litters of pineaple juice and 1.5 litters of ginger ale.
Fiona must find the length indicated by the dotted line for the tiles she is installing. She knows that each polygon is a regular hexagon with a perimeter of 7.5 in. What is the length of the dotted line? Round to the nearest hundredth.
Answer: The length of the dotted line is 3.75 inches.
Please refer to the picture attached for the missing part of the question
Step-by-step explanation: From the information given we have a regular hexagon, that is a six-sided polygon (all sides equal) with the perimeter given as 7.5 inches. The perimeter is the distance all around the figure, hence to determine the length of one side,
Length = 7.5/6
Length = 1.25
Also, the interior angles of a hexagon can be derived with the formula;
Angles = 180 (n - 2)
Where n is the number of sides of the polygon
Interior Angles = 180 (6 - 2)
Interior Angles = 180 x 4
Interior Angles = 720
If the total of the interior angles equals 720, then each angle can be calculated as;
Each Angle = 720/6
Each Angle = 120
Please refer to attached picture tagged SOLUTION Diagram)
Taking triangle GED as shown in the picture, angle E and angle D measure 60 degrees each. This is because angle E in the entire hexagon ABCDEF measures 120 degrees. The line from point G in the center of the hexagon divides the angle into two equal halves. Same applies to all other five angles in the hexagon. Having angle E and D equal to 120 (that is 60 + 60) angle G would be equal to 180 - 120 {sum of angles in a triangle equals 180) which gives us 60. In effect we have an equilateral triangle, with all angles equal. This also means all sides are equal, hence if line ED equals 1.25, it simply means line GE and line GD equals 1.25 as well.
From this result we can now conclude that the line that runs across the hexagon from point F to point C is 1.25 plus 1.25 which equals 2.50.
The dotted line as indicated in the question runs across one side of the hexagon and all through another hexagon, hence the total length of the dotted line equals;
Dotted line = 1.25 + 2.50
Dotted line = 3.75
Therefore the length of the dotted line is 3.75 inches
What is the value of the expression below?
√16 + 5 *1
Answer:
9
Step-by-step explanation:
√16=4
5*1=5
4+5=9
hope this helps
In a math class with 27 students, a test was given the same day that an assignment was due. There were 17 students who passed the test and 22 students who completed the assignment. There were 3 students who failed the test and also did not complete the assignment. What is the probability that a student passed the test given that they did not complete the homework
The probability that a student passed the test given that they did not complete the homework is [tex]\( \frac{3}{5} \)[/tex] or 60%.
To find the probability that a student passed the test given that they did not complete the homework, you can use conditional probability.
Let:
- [tex]\( A \)[/tex] be the event that a student passed the test.
- [tex]\( B \)[/tex] be the event that a student did not complete the homework.
You're asked to find [tex]\( P(A|B) \),[/tex] the probability of passing the test given not completing the homework.
From the given information:
- Total number of students [tex](\( N \)) = 27[/tex]
- Number of students who passed the test [tex](\( A \)) = 17[/tex]
- Number of students who did not complete the homework [tex](\( B \)) = \( N - 22 = 5 \)[/tex] (since 22 students completed the assignment)
Also, given that there were 3 students who failed the test and did not complete the assignment, we can infer that out of the 5 students who did not complete the homework, 3 of them failed the test.
So, [tex]\( P(A \cap B) = 3 \)[/tex] (the probability of a student both passing the test and not completing the homework).
Using the definition of conditional probability:
[tex]\[ P(A|B) = \frac{P(A \cap B)}{P(B)} \][/tex]
We have:
- [tex]\( P(A \cap B) = 3 \)[/tex]
- [tex]\( P(B) = 5 \)[/tex]
Now we can calculate [tex]\( P(A|B) \)[/tex]:
[tex]\[ P(A|B) = \frac{3}{5} \][/tex]
So, the probability that a student passed the test given that they did not complete the homework is [tex]\( \frac{3}{5} \)[/tex] or 60%.
The probability that a student passed the test given they didn't complete the homework is 40%.
To solve this problem, we need to determine the probability that a student passed the test given they did not complete the homework. We'll use the given data:
27 total students17 students passed the test22 students completed the assignment3 students failed the test and did not complete the assignmentFirst, calculate the number of students who did not complete the homework:
5 because 27 total - 22 completed = 5 did not complete.
Next, find the number of students who passed the test and did not complete the homework.
Let’s define variables:
Passed test: ADidn't complete homework: BFailed test and didn't complete homework: AB'We're given that AB' = 3.
Calculate AB:
The total number of students who didn’t complete the homework is 5 (B + B'). Thus, AB (students who passed the test but did not complete the assignment) can be calculated as:
2 (because 5 - 3 = 2 for AB).
Then, the probability is:
P(A|B) = AB / B = 2 / 5. Therefore, the answer is 0.4 or 40%.
You own 4 different shorts, 5 different t-shirts and 5 different caps. If
you want to wear one of each,
How many different combinations of clothing do you have?
combinations
Answer:
5
xD
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
Multiply 4, 5 and 5 which gives 100.
can some one pls Use elimination to solve each system of equations
2x - y = -1
3x - 2y = 1
Answer:
Correct answer: x = - 3 and y = - 5
Step-by-step explanation:
Given:
2 x - y = - 1
3 x - 2 y = 1
We will multiply first equation with number (- 2) and get:
- 4 x + 2 y = 2
then we add this equation to another and get:
- 4 x + 3 x = 2 + 1
- x = 3 / · (- 1)
x = - 3
now we replace x = - 3 in the first equation and get:
2 (- 3) - y = - 1 ⇒ - 6 - y = - 1 / ·(- 1) ⇒ 6 + y = 1 y = 1 - 6 = - 5
y =- 5
God is with you!!!
Answer:
x= -3
y= -5
Step-by-step explanation:
-2 (2x-y= -1) = -4x + 2y = 2
-4x + 2y = 2
3x - 2y = 1
-------------------
-x = 3
x = -3
plug the x= -3 into the equation to find y
In the right triangle shown, measure of angle A equals 45 degrees and the measure of AB equals 12. How long is BC?
Answer:
think ab = 4
Step-by-step explanation:
Find the surface area of the cube shown below 2 1/2
Answer:
37.5
Step-by-step explanation:
Answer:
37.5
Step-by-step explanation:
Jenna has 30 buttons. She is organizing her buttons into 6 boxes. She puts the same number of buttons in each box. Write an expression that you use to find the number of buttons in each box.
Answer:
The expression will be x = 30/6 and she'll have 5 buttons in each box.
Step-by-step explanation:
In order to write the expression for the number of buttons in each box we first need to attribute a variable to that value, in this case we will use "x". The number x will be given by the division of all the buttons she has by the number of boxes she wants to organize them in. We have:
x = (number of buttons)/(number of boxes)
x = 30/6 = 5 buttons per box
The expression will be x = 30/6 and she'll have 5 buttons in each box.
In your own words, what is relative frequency?
Answer:
A frequency is the number of times a given datum occurs in a data set.
Step-by-step explanation:
write an equation for the function that includes the following points (2, 32) and (3, 64)
Answer:
y=32x-32
Step-by-step explanation:
this time no algorithm or equation was needed i saw that if the equation was y=32x there would be ordered pairs (1,32) and (2,64) so to delay it by 1 on the x side just subtract the slope from the y - intercept sorry if that doesn't make sense
What are the answers
Answer:
x = 1, y = 1
Step-by-step explanation:
Use system of equations to solve for x and y by using substitution
The solution to the system of equations, though we can solve using substitution, can also be found by graphing these equations. If you graph these equations, look for where they intersect (it should be one point!).
-5x + 6 = 3x - 2
6 = 8x - 2
8x = 8
x = 1
y = 3(1) - 2
y = 3 - 2
y = 1
Hope this helps!! :)
A baseball fan is seated in the upper deck of a stadium 200 feet away from
homeplate. If the angle of depression to the field is 62 degrees, at what height is
the fan sitting? Hint: draw a picture and label the parts of the triangle and use
your trig ratio to find the height.*
Please find attached to this answer a well labelled diagram of the triangle
Answer:
Approximately 176.6 feet
Step-by-step explanation:
From the question, we are to find the height at which the baseball fan was sitting.
From the attached diagram the height at which the fan was sitting is equivalent to the opposite side of the triangle.
Hence , the appropriate trigonometric function to use to solve this question is the sine function.
Sine = Opposite / Hypotenuse
Opposite is unknown so we refer to it as Y
Hypotenuse = 200feet
While the Angle of depression = 62°
Therefore,
Sine 62° = Y/ 200 feet
Cross multiply
Sine 62° × 200 feet = Y
Y = 176.58951857 feet
Approximately 176.6 feet
Therefore , the height at which the fan is sitting is 176.6 feet