Answer:
x=3
Step-by-step explanation:
If y is 15 when x is 5, and y =f(x), then the equation is y=3x. Substitute in 9 for y, and do the algebra, and you will get 3. Hope this helped :D
The value of x is 3 when y = 9.
What is Proportionality?When two quantities are proportional, it means that they can be expressed as a ratio or a fraction, and this ratio remains constant as the values of the quantities change.
If y varies directly as x, it means that the ratio of y to x remains constant.
We can express this relationship as y = kx, where k is the constant of variation.
To find the value of k, we can use the given information that y = 15 when x = 5:
15 = k . 5
Dividing both sides of the equation by 5, we get:
k = 15/5
k = 3
Now that we have the value of k, we can substitute it into the equation
y = kx to find x when y = 9:
9 = 3x
Dividing both sides of the equation by 3, we get:
x = 9/3
x = 3
Therefore, when y = 9, x = 3.
Learn more about Proportionality here:
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Kate is planning a trip to the beach. She estimates her average speed to graph her expected progress on the trip. Write an equation in slope-intercept form that represents the situation.
slope (m):
y-intercept (b):
equation:
Answer:
Slope = -60 miles per hour
y-intercept = 300 mi.
Equation of the line → y = -60x + 300
Step-by-step explanation:
Let the equation representing relation between the distance to beach and time taken is,
y = mx + b
Where, m = slope of the line = Average speed of Kate
y = Distance to the beach
x = time taken
b = Distance from the beach at t = 0
Slope of a line joining points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope the line joining (5, 0) and (0, 300),
Slope 'm' = [tex]\frac{300-0}{0-5}[/tex] = -60 miles per hour
y intercept 'b' = 300 mi.
So the equation will be,
y = -60x + 300
Neuma has a container that held 9/54 of a kilogram of rainbow sprinkles she divided the sprinkles Evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover.To determine the weight of each serving neuma performed the calculations below she concluded that each serving weighs 1/6 of a kilogram. What is Neumas error?
Answer:
c. neuma should have only divided 9 by 9, not 54 by 9.
Step-by-step explanation:
Neuma had a container that held 9/54 of a kilogram of rainbow sprinkles. she divided the sprinkles evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover. to determine the weight of each serving, neuma performed the calculations below. she concluded that each serving weighs 1/6 of a kilogram. what is neuma’s error?
a. neuma should have multiplied by 54, not divided.
b. neuma should have multiplied by 9, not divided.
c. neuma should have only divided 9 by 9, not 54 by 9.
d. neuma should have only divided 54 by 9, not 9 by 9
Neuma's calculation
9/54
= 1/6
Kilogram of rainbow sprinkles = 9/54
Ice cream servings = 9
Correct calculation
Weight of each servings = total weight / number of servings
= 9 / 54 ÷ 9
= 9 / 54 × 1 / 9
= 1 / 54
Each servings = 1/54 kilogram
c. neuma should have only divided 9 by 9, not 54 by 9.
Answer:
c
Neuma should have only divided 9 by 9, not 54 by 9.
The Earth has a mass of about 6 x 1024 kg. Neptune has a mass of 1 x 1026 kg.
How many times bigger is Neptune than Earth?
Give your answer in standard form to the nearest whole number.
Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?
A. Flipping a coin and getting heads for door A or tails for door C.
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
C. Creating a spinner divided into 4 equal parts. Label two parts door A, one part door B, and the third part door C.
D. Go to the game show and collect data for a month on which doors people chose.
Answer:
The correct option is;
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C
Step-by-step explanation:
Given that an onloaded die has equal chances of getting either 1 or 2 or 3 or 4 or 5 or 6, the chances of getting a particular score is therefore 1/6
and the probability of getting a 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3
Therefore, given that the probability, P[tex]_{door}[/tex] of opening door A, or door B, or door C is the probability of selecting 1 out of 3 given as follows;
P[tex]_{door}[/tex](door A) = 1/3
P[tex]_{door}[/tex](door B) = 1/3
P[tex]_{door}[/tex](door C) = 1/3
Therefore, given that the probability of selecting either door A or door B or door C is equivalent to the probability of getting a 1 or 2, or a 3 or 4, or a 5 or 6 on a die.
Answer:
Its B: Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
Step-by-step explanation:
They have to be evenly probable so its B
edge 2020
Help plz due soon IDK what to do
how to find slope
its not that clear for me to solve but i can tell you how to solve and you fill the numbers in... sry
(x1,y1) (x2,y2) - find two different points
y2-y1/x2-x2=slope of the line
or
to find it you can do the rise divided by the run
im sry if this doesnt help :(
9514 1404 393
Answer:
-2/3
Step-by-step explanation:
First, you find places where the graphed line crosses grid intersection points. One obvious choice is the point (0, 0), since the line goes through the origin. (Here, we wanted to avoid interference with our notations by the axis labels, so we chose points away from the origin.)
Then, you draw a right triangle with the two points you found as ends of the hypotenuse. Use grid lines for the legs of the triangle. For purposes of "rise" and "run", it is convenient to draw the triangle to the right of the graphed line.
The "rise" is the vertical distance between the grid crossings. In this graph, that is -2 units. The sign is negative because the right-most point is below the left-most point.
The "run" is the horizontal distance between grid crossings. In this graph, that is 3 units. If you have drawn the triangle to the right of the graphed line, that will be +3 units.
So, the slope is the ratio of "rise" to "run":
m = rise/run = slope = -2/3
Choose the correct equation for the line shown on the graph?
Answer:
Option 3
[tex]y=-\frac{1}{4} x-1[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
where m = slope, and b = y intercept
The y intercept is -1. That is because the given line intersects the y axis at the point (0,-1)
The slope is -1/4
That is because it goes up one, and right -4. That means it goes up 1 and left 4.
the difference between seven and a number is four. HELP ME!
Answer:
3.
Step-by-step explanation:
Difference means subtract. So your question is 7 - 4 and that is 3.
Answer:
3
Step-by-step explanation:
Let the number be x
7-x=4
-x=4-7
-x = -3
x=3
3. Evaluate 7w – 52 + 9 + w) when w = 4 and z = 5
Answer:
45
Step-by-step explanation:
7 x 4 - 5 x 5 + 9 (2/3 + 4)
28 - 25 + 9 x 14/3
28 -25 + 3 x 14
28 - 25 + 42
45
Answer:
45
Step-by-step explanation:
Given
7w - 5z + 9([tex]\frac{2}{3}[/tex] + w) ← distribute parenthesis
= 7w - 5z + 6 + 9w ← collect like terms
= 16w - 5z + 6 ← substitute w = 4, z = 5 into the expression
= 16(4) - 5(5) + 6
= 64 - 25 + 6
= 45
NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!!!!!!!!
I NEED HELP ON ALL THREE PLEASE!!!!
Answer:
16. H
17. C
18. G
A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.The equation represents the relationship between these quantities. List the facts. * 4c + 5 = 27
Step-by-step explanation:
Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as
4c+5 = 27
From the equation, the constant value of 5 represents the calories in grams of the rest of the ingredients present in the bite.
Let us calculate the value of c from the equation
4c+5 = 27
4c + 5- 5 = 27-5
4c = 22
c = 22/4
c = 5.5
This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate
Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.
The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books. Find the domain of the function. Is the domain discrete of continuous? Explain.
Answer:
The domain is (-∞ , ∞)
The domain is continuous
Step-by-step explanation:
Here, we want to identify the domain of the linear function
The domain in this case can be represented by the set of all real numbers.
When we talk of the domain of a function, we are simply referring to the the range of values between the smallest value on the x-axis and the largest number on the x-axis
Hence, mathematically, we are simply considering the smallest value of b up to the largest value of b in this case. Where b simply represents the number of books
Thus, the domain here will be (-∞ , ∞)
On if the domain is discrete or continuous, we can see that the domain is continuous.
The domain is continuous simply because, the domain we have contains all the values and not some in the set of real numbers. If it had contain only some, then it would have been discrete. But since it contains all, it is continuous
If k(x) = -2x2 – 7, find k(4)
Answer:
-39
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
You just plug in 4 for x. So it'd be -2(4)2-7
So, you have -8(2)-7
Then: -16-7, which gives you -23
Please help???
-x + y=1
2x+y=-2
Answer:
(x, y) = (-1, 0)
Step-by-step explanation:
Here:
1. -x + y = 1
2. 2x + y = -2
so just temporarily....
multiply #1 by 2
and
multiply #2 by 2
1. -2x + 2y = 2
2. 4x + 2y = -4 then subtract top from bottom.
-6x + 0 = 6
-6x = 6
x = -1
Then implement x = -1 into the original state of #2
2. 2(-1) + y = -2
-2 + y = -2
y = -2 + 2
y = 0
(x, y) = (-1, 0)
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A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?
Answer:
[tex]A' =(-y,x)[/tex]
Step-by-step explanation:
Given
Represent point A as thus;
[tex]A = (x,y)[/tex]
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
[tex]Pos = (y,x)[/tex]
Then, y is negated to give A'
[tex]A' =(-y,x)[/tex]
is 27/2 a rational number?
HELP!
I NEEP HELP PLS !!!!!!! UwU
Write an equation that has a slope of 4 and a y-intercept of (0,2)
Answer:
y=4x+2
I know this already i learned this 3 years ago
Answer:
The equation would be y=4x+2
Step-by-step explanation:
The equation of a slope is y=mx+b, with the slope replacing m, and the Y intercept replacing b.
Which of the following must always be true about vertical angles
Answer:
It is always a strait line going up.
Step-by-step explanation:
Answer:
vertical angels
angles opposite each other where two lines cross.
plz mark brainliest
Step-by-step explanation:
The following are the last 10 run scores Colin got in cricket:
1, 25, 27, 3, 23, 25, 5, 9, 26, 27
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 5 runs.
What is his new mean score?
Give your answers as decimals
Answer:
a) 18.8
b) 20
I hope this helps :) Let me know if it's right!
Answer:
17.1
Step-by-step explanation:
Given parameters:
Scores of Colins:
1, 25, 27, 3, 23, 25, 5, 9, 26, 27
A. Colin's mean score;
The mean is the sum of all values divided by the number of values in a given set;
Mean = [tex]\frac{1 + 25 + 27 + 3 + 23 + 25 + 5 + 9 + 26 + 27}{10}[/tex]
Mean = [tex]\frac{171}{10}[/tex]
Mean score = 17.1
I need help with this
Answer:
a and d
Step-by-step explanation:
pls mark brainliest
The expected attendance at a school event is 65 people. The actual attendance can vary by up to 30 people. Which equation can you use to find the minimum and maximum
attendances?
Answer:
|x-65|=30
Step-by-step explanation:
You are expecting 65 people, but usually 30 people come.
This equation works best since you can find both the minimum and maximum.
The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x |
The expected attendance at a school event is 65 people. The actual attendance can vary by up to 30 people. Then the absolute function of the equation is given as,
|x - 65| = 30
The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.
More about the absolute function link is given below.
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Find the equation of the line
Y= __x +__
Answer:
y = 1x - 5
m = 1, b = -5
Step-by-step explanation:
This equation that we are solving form is known as slope intercept form: y = mx + b.
Given a graph that intersects the x axis at -5, rises one y every one run of x, the slope must be one as the point where (0,-5) → (1,-4) → (2,-3) → (3,-2)..... you can see that y, and x change by positive one every time, so this is the reasoning. A linear equation is always straight so it's slope is always the same, so you can just pick two points and find the difference in x, and y values to get the slope. Think about it like this, you start with negative five and go up one each x. Therefore, your equation is y = x - 5. As a coefficient of 1 or slope of 1 will leave x by itself since multiplying anything by 1 is itself.
Nicole babysits on the weekends. She charges a flat fee of $10 and then $5 per hour. If she made $40 on Friday night, how many hours did she babysit?
Choose the equation to represent this situation.
Group of answer choices
help me!!!!!!! I need help
Answer:
the answer is 8
Step-by-step explanation:
BC
Answer:
8
Step-by-step explanation:
18-inches is 1.5 feet.
Help me !!! Solve: 3b − 2 = 7
Answer:
B=3
Step-by-step explanation:
Help me plz!!!!!!!!!!!
Answer:
88%
Step-by-step explanation:
22/25 = .88 x 100= 88%
Answer:
88%
Step-by-step explanation:
First, you start with the bottom (denominator). You turn it into 100 since all percentages are over 100. So 25 times 4 is 100. Therefore, you also have to multiply the top with a 4, getting an 88 over 100. That is equal to 88%.
Help me with this it is hard
Answer:
the third choice is the correct one because if you 3 ÷ 8 = 0.375. 0.375 × 100 = 37.5%
⚠️HURRY⚠️
write an equation that matches this graph in Slope-Intercept Form
Answer:
y = -1/4x+2
Step-by-step explanation:
Answer:
y = -1/4x + 2
Step-by-step explanation:
We can tell that the line passes trough the point (0, 2), so the y-intercept is 2.
Let's calculate the slope by using rise over run. We see for every one unit down, it goes 4 units to the right. It also goes downward, so the slope is negative. So the slope is -1/4. Put it together...
y = -1/4x + 2
Hope this helps!
30 students in a class took a math test 24 students pass the test what percent past
Answer:
80% passed
Step-by-step explanation:
1. 24 out of 30 passed
2. In order to make it a % you have to multiply
3. 100 * 24/30
4. = 2400/30
5. Therefore the answer is 80
Topic is Solving Systems by Elimination. Need the work
- 7x + 3y =- 24
2x - 4y =- 12
What is the transformation that needs to be done to map ABCDE to A'B'C'D'E'?
Answer:
the third one
Step-by-step explanation: