Answer:
y = -3x - 16
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: y - 2 = -3(x + 6)
Slope-intercept form: y = mx + b
To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).
To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:
y = mx + b
2 = -3(-6) + b
2 = 18 + b
Subtract 18 from both sides of the equation to isolate b:
2 - 18 = 18 - 18 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = -3x - 16
In a class of 38 students, 15 play hockey and twice as many play basketball. Each student in the class plays either hockey or basketball. How many students play both hockey and basketball?
Answer:
7 students
Step-by-step explanation:
Venn Diagram:
15hockey and 30 basket ball.
45 in total:
45-38=7
so 7 students.
Check:
15:7:30
subtract 7 in middle
8:7:23
8+7+23=38
Correct !!!
Hope this helps plz hit the crown :D
You have a cake that is 10 inches in diameter. You expect 12 people to share it, so you cut it into 12 equal slices. Before you get a chance to serve the cake, 12 more people arrive! So, you decide to cut a concentric circle in the cake so that you will have 24 pieces. How far from the center of the cake should the circle cut be made so that all 24 people get the same amount of cake?
Answer:
3.5355 inches
Step-by-step explanation:
Area should be same the concentric circle and rest piece .
let's consider the radius of concentric circle as r
so it's area is π r²
area of whole circle is π (5)" ( because diameter is 10 inches)
so the area of rest piece is π (5)² - π r²
π (5)² - π r² = π r²
5² = 2r²
r² = 25/2
r = √(25/2)
r = 3.5355 inches
2. Convert 4 cups to gallons.
Answer:
4 cups = .25 gallons
Over 6 months, Fiona used her online banking account to pay a total of $274.50 for her cell phone services. Her cell phone service costs the same amount each month. How much did she withdraw from her account each month to pay for the services?
Answer:
45.75
Step-by-step explanation:
you divided 274.50 by 6 and get the answer
6 to the power 4 simplified
Answer:
1296
Step-by-step explanation:
6x6x6x6
6^4
Answer:
6×6×6×6
Step-by-step explanation:
I hope this helps
Find the value of the length a x rounded to 1 DP. The diagram is not drawn accurately
Answer:
x ≈ 3.7 m
Step-by-step explanation:
Use the right triangle on the left to find the height h , using the sine ratio
sin39° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{7}[/tex] ( multiply both sides by 7 )
7 × sin39° = h , then
h = 4.4
Using the tangent ration on the right side right triangle, then
tan50° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{x}[/tex] = [tex]\frac{4.4}{x}[/tex] ( multiply both sides by x )
x × tan50° = 4.4 ( divide both sides by tan50° )
x = [tex]\frac{4.4}{tan50}[/tex] ≈ 3.7 m ( to 1 dec. place )
The triangle has length of value is 3.7meters.
What is triangle?A triangle is "closed, 2- dimensional shape with 3 sides, 3 interior angles and three vertices".
According to the question,
To find height (h), use right angle triangle on the left side.
sin39° = [tex]\frac{opposite}{Hypotenuse}[/tex] = [tex]\frac{h}7}[/tex]
7 sin39° = h
height (h) = 4.4 meters.
To find the value 'x', use right angle triangle on the right side.
tan 50° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{x}[/tex].
x tan 50° = 7
x = [tex]\frac{7}{tan50}[/tex] = 3.7 meters.
Hence, the triangle has length of value is 3.7meters.
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PLS HELP ME
simplify 4/9+3/7
Answer:
I dont think it can be simplified any more
Step-by-step explanation:
Answer:
55/63
Step-by-step explanation:
combine the fractions by combining the common denominator
Write an equation in Standard Form (Ax +By = C) of a line that passes through the point (2, -3) and has a slope of 4
Answer:
The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.
Step-by-step explanation:
The equation of the line in standard form that passes through the point (2, -3) and has a slope of 4 is 4x - y = 5.
To write the equation of a line in standard form (Ax + By = C) that passes through the point (2, -3) and has a slope of 4, we can use the point-slope form of the equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point (2, -3) and m is the slope (which is 4 in this case). Substitute the values into the equation:
y - (-3) = 4(x - 2)
Now, simplify:
y + 3 = 4x - 8
Next, bring all the terms to the left side of the equation to get the standard form:
4x - y = 8 - 3
Finally, simplify the constant term:
4x - y = 5.
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what 901 divided by 3
Answer:
300.33333
Step-by-step explanation:
HELP PLEZ!!
expand and simplify:
2(3x-5)+ 3(2x+3)
Answer:
The answer is 11x - 1
Step-by-step explanation:
I did the distributive property and it should look like this 6x - 10 + 5x + 9
After that I just combined like terms and got 11x - 1
pls mark brainliest
Answer:
2(3x - 5) + 3 (2x + 3)
6x - 10 + 6x + 9
6x - 1 + 6x
12x -1
Step-by-step explanation:
Hope this helps!!
Lenora is a college student with a student loan of $7,500. Her tuition is $3,200 per year. She owns $470 worth of text books and a has a laptop computer worth $950. She also has a meal plan at school for which she pays $250 per month.
Answer:
Lenora’s assets is the text books
Step-by-step explanation:
From the question, we are informed about Lenora who is a college student with;
a student loan of $7,500
a tuition is $3,200 per year.
She owns $470 worth of text books and a has a laptop computer worth $950 and meal plan at school for which she pays $250 per month
Lenora’s assets in this case is her text books since we are told she owns the $470 worth of text books, and from the question other things from tuition to meal plan are on loan.
NOTE: Asset can be regarded as any property/ resources own by business or individual.
Answer:
the textbooks
Step-by-step explanation:
Help plzzzzzzzz :(
Solve for C.
c/18= 30/12
Johan's gift shop needs to mail 45 checks to the bank. If they can put 5 checks in each envelope, how many envelopes how does the shop need to use?
Answer: 9 envelopes
Step-by-step explanation:
Divide the 45 checks into 9 groups of 5.
------------------------------------------------------------------------
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
------------------------------------------------------------------------
45 checks divided into 9 envelopes equals 5 checks per envelope
45 ÷ 5 = 9
Take away one group of 5 checks from the 45 checks. Then take away another group of 5 checks, and another, and another. When there are no more checks, count how many groups you took away. You can take 9 groups away from 45, so that is your answer.
To tell that the answer is 9 groups of 5 checks, follow these steps.
Look at the equation. 45 ÷ 5 = 9.
The amount of groups is what 45 ÷ 5 equals. What the 45 checks is divided by is the amount in each group.
This means that there are 9 groups of 5 checks.
3 pounds of peanuts for 7.50 how much per pound?
Answer:
$2.50
Step-by-step explanation
7.50 divided by 3 is 2.50
Answer:
$2.50 per pound
Step-by-step explanation:
7.50/3
$2.50
Please I beg you help me
Answer:
Option D
Step-by-step explanation:
Going through the choices will help determine which option best simulates the random selection of a voter.
Flip a coin three times, and assign outcomes as follows: HHH, HHT, or HTH = Nava; HTT, THH, or THT = Jensen; TTH = Moretti, TTT = Chang.
Given that it is a random selection of the 4 candidates, it means the probability of choosing either one of them is equivalent. From the option, it can be found that Nava and Jensen have a higher chance of being voted than Moretti and Chang, which would not fit the criteria of being randomly selected.
Roll a number cube, and assign outcomes as follows: 1 or 2 = Nava, 3 or 4 = Jensen, 5 = Moretti, 6 = Chang.
Again, Nava and Jensen have a higher chance of being voted than Moretti and Chang. Therefore, this is not the correct option to simulate random selections of the 4 candidates.
Roll a number cube, and assign outcomes as follows: 1, 2, or 3 = Nava, 4 = Jensen, 5 = Moretti, 6 = Chang.
Nava has a higher chance of being voted, so this option does not fit the stimulation.
Flip a coin twice, and assign outcomes as follows: HH = Nava, HT = Jensen, TH = Moretti, TT = Chang
In this scenario, all 4 candidates have an equal chance of being voted, so this option would best simulate the random selection of a voter from the city.
Hope this helps :)
19. The marked price of a certain handbag is $400. After two successive
sales, the selling price of the handbag becomes $225. If the discount
per cent in each sale is x%, find the value of x.
Answer:
x = 25%
Step-by-step explanation:
At the first sale of 25% off, the handbag price dropped from $400 to $300. This is because (400 x 0.25 = 100) and (400 - 100 = 300) Therefore, the selling price of the handbag after one sale was $300.
At the second sale of 25% off, the handbag price dropped from $300 to $225. This is because (300 x 0.25 = 75) and (300 - 75 = 225). Therefore, the selling price of the handbag after two sales is $225.
The value of x remained the same for both sales. x = 25% or 0.25
Two numbers have a sum of 136 and a difference of 32. Find the smaller of the two numbers.
Answer:
Smaller number = x
Bigger number = x +32
Why? -- the difference of the numbers is 32, this also means that one number is 32 greater than the other.
x + x+32 = 136
2x +32 = 136
2x = 104
x = 104/2
x = 52
----> The smaller number is 52 <-----
We can check by solving for the bigger number.
Bigger number = x+32
x = 52
52 + 32 = 84
Bigger number = 84
Bigger number + Smaller number = 136
84 + 52 = 136
The numbers are 84 and 52 if the two numbers have a sum of 136 and a difference of 32.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Two numbers have a sum of 136 and a difference of 32
Let x be the first number and y be the second number:
x + y = 136
x - y = 32
After solving the above linear equation by elimination method:
2x = 168
x = 168/2
x = 84
2y = 104
y = 52
Thus, the numbers are 84 and 52 if the two numbers have a sum of 136 and a difference of 32.
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y=3/8x−4 Write the equation in standard form.
Answer:
Step-by-step explanation:3x-8y=32
Last question I need help on y’all !!
which two circles below are congruent? explain your reasoning
Answer:
The first one to the left and the third one.
Step-by-step explanation:
As long as two circles have the same radius/diameter, they are congruent.
Circle 1 has a radius of 22.5.
Circle 2 has a radius of 22.
Circle 3 has a radius of 45/2 = 22.5. (Diameter/2 = radius)
Therefore, Circle 1 and Circle 3 are congruent.
Hope this helped!
In 1/3 of an hour Brian reads 12 pages
Answer:
Thats a nice fact
Step-by-step explanation:
If you plug Ur nose, an apple,orange, and onion taste the same!!
How many times would Thor jump in 2 hours if he jumped 3 times every 5 minutes?
Answer:
72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
There are 12 five minutes in an hour, so 24 five minutes in two hours.
3*24=72.
180 in the ratio 1:3:4
Answer:
let 1:3:4 be written as x:3x:4x
therefore, x+3x+4x = 180
8x = 180
x = 180/8
x = 22.5
therefore, x = 22.5
3x = 22.5 * 3 = 67.5
4x = 22.5 * 4 = 90
Hope it helped u,
pls mark this as brainliest
and put thanks
^_^
Which angles are congruent?
Answer: What are the choices?
Step-by-step explanation:
Question: In Boston, Massachusetts, there is a 60% probability of rain on a specific day. How was this probability most likely determined?
Options:
A. On this day each year, it rains 60% of the time.
B. On days with similar conditions as this day, it has rained 60% of the time in Massachusetts.
C. During this month, it rains 60% of the days.
D. On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
E. The probability was determined randomly.
Answer:
On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
Step-by-step explanation:
I got it right on the quiz
The correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."
What is probability?Probability is the possibility of happening an event.
Given that, there is a 60% probability of rain on a specific day.
Therefore, it rained 60% of the time on that day.
Hence, the correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."
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In a class full of men and women, 5/9 of the class are women. What is the ratio of men to
women in its simplest form?
Answer:
4:5
Step-by-step explanation:
5=women
4=men
(5+4=9)
4:5
Answer:
5:4
Step-by-step explanation:
4/9 are men
so, 5/9(women) : 4:9(men)
times 9 both side
5(women):4(men)
Solve for x ?
I don’t understand this
Keith designs a game in which players work together to run a food truck business.
During one game, the business loses $261. The four players share the loss equally.
A- Write the equation to represent the change in profit for each player.
(don't use the space)
Answer:
Y=-65.25x
Step-by-step explanation:
c(x)=0.7x^2-210x+27,738
Answer:
max-738
min-738
derivative is 1.4x-210
Step-by-step explanation:
How do regulations influence wages?
O A. They increase wages regularly over time.
O B. They create laws dealing with jobs and income.
C. They set a ratio of productivity to wages.
D. They set the market value of all types of jobs.
Answer:
b
Step-by-step explanation:
There are certain reasons that the regulations influence wages, among them the main influence is that they create laws dealing with jobs and income.
What are wages?A wage is a sum of money paid by an employer to an employee for work completed over a set period of time.
Compensatory payments, such as minimum wage, annual bonuses, and prevailing wage and remunerative payments, such as prizes and tip payouts, are examples of wage payments.
These wages are influenced by the regulations in which the laws dealing with jobs and income.
Therefore, option B is correct.
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