Question:
The quantities x and y are proportional.
x y
5.8 7.5
11.2
Find the constant of proportionality (r) in the equation y=rx
Answer:
The constant of proportionality is 75/58 or 1.29
Step-by-step explanation:
Given
The table above
Required
Find the constant of proportionality
The question has an incomplete table but it can still be solved because x and y are proportional.
Given that
y = rx
Make r the subject of formula
Divide through by x
y/x = rx
y/x = r
r = y/x
When y = 7.5, x = 5.8
Substitute these values
r = y/x becomes
r = 7.5/5.8
Multiply denominator and numerator by 10
r = (7.5 * 10)/(5.8 * 10)
r = 75/58
In this case, it's best to leave the answer in fraction.
However, it can be solved further.
r = 75/58
r = 1.29 (Approximated)
Hence, the constant of proportionality is 75/58 or 1.29
Answer:
the correct answer is 1
hope this helps :D
Two sides of a triangle are as follows: 2 centimeters and 5 centimeters. Describe the possible lengths of the third side
Answer:
3cm < Third side < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values of third side are
4cm, 5cm,6cm
Step-by-step explanation:
This question can be solved using given by Triangle Inequality Theorem Given below.
Sum of two sides is always greater than value of third sideDifference of two sides is always less than value of third sideGiven two sides are 2cm, 5cm
Sum of two sides = (2+5)cm = 7 cm
Difference of two sides = (5-2) = 3 cm
Let the third side be X
thus according to Triangle Inequality Theorem
X < Sum of two sides of given triangle
X < 7cm -----1
X > Difference of two sides
X > 3cm ----1
combining expression 1 and 2 we have
3cm < X < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values are
4c, 5cm,6c
The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits and is replaced with a person earning $8 per hour. The graph of the resulting salaries is shown in plot 2. A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 15, and the box ranges from 8.8 to 10.2. A line divides the box at 9.5. Plot 1 A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 11, and the box ranges from 8.7 to 10. A line divides the box at 9.6. Plot 2 How does the mean and median change from plot 1 to plot 2? The mean and median remain the same. The mean decreases, and the median remains the same. The mean remains the same, and the median decreases. The mean and median decrease.
Answer:
The mean decreases, and the median remains the same.Step-by-step explanation:
Remember that a box plot is made by the quartiles of the distribution, the maximum value and the minimum value. So, from a box plot we can deduct the range, the median and the interquartile range.
In this case, the median remains the same at $9.5 per hour. The median is indicated by the middle line of the box, and you can observe that it doesn't change.
Now, the range of the data set decreases from 7 to 3.
On the other hand, the mean must decrease, because data greater than $11 doesn't exist in the box plot number 2, and the mean is a central measure sensible to those changes.
Therefore, the right answer is The mean decreases, and the median remains the same.
Answer:
the awswer is b
Step-by-step explanation:
took the test
Consider the graph of function, f, below.
Select the true statement.
Α. The graph has a slope of
B. The graph is negative on the interval (-4,-2).
C. The graph has a y-intercept of 2.
D. The graph is increasing on the interval [4, 6].
The workers in a senate office said that they received about 700 phone calls from voters last week. Which could be the number of phone calls the office received that would round to 700 when rounded to the nearest 100?
Answer:
see below
Step-by-step explanation:
Any number between 650 and 749, 650 and 749 are included as well
if number is 50 and above it goes up
If you need 4 tables spoons of golden syrup to make 10 cupcakes, how many tables spoons of golden syrup will you need to make 4 cupcakes.
Answer:
1.6 tablespoons
Step-by-step explanation:
Let’s make a proportion
syrup/cupcakes=syrup/cupcakes
4 tablespoons are needed for 10 cupcakes and x tablespoons are needed for 4 cupcakes.
4/10=x/4
Now we have to solve for x. x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.
4*4/10=x/4*4
The 4s on the right will cancel, so we are left with:
4/4*10=x
1.6=x
So, 1.6 tablespoons are needed for 4 cupcakes.
The polynomial f(x) is written in factored form:
f(x) = (x - 3)(x + 8)(x - 11)
What are the zeros of the polynomial function?
O x = 3, x = 8, x = 11
O x = 3, x = -8, x = 11
OX=-3, x = 8, X = -11
x = -3, x = 3, x = -8, x = 8, x= -11, x = 11
Answer:
F(x)=(x-3)(x+8)(x-11)=0
(x-3)=0, (x+8)=0, (x-11)=0
X=3
X=-8
X=11
Find the interquartile range (IQR) of the data in the box plot below.
Asap ASAP Please PLZ
Answer:
3
Step-by-step explanation:
IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3
The interquartile range (IQR) of the data in the given box plot is: 3.
What is the Interquartile Range (IQR) of a Data?In a box plot, the interquartile range (IQR) is the difference between the upper quartile and the lower quartile which are represented as each edge of the rectangular box.
Upper quartile = 7Lower quartile = 4Interquartile range (IQR) = 7 - 4
Interquartile range (IQR) = 3
Learn more about Interquartile range (IQR) on:
https://brainly.com/question/17083142
#SPJ2
Which of the situations describes a temperature of –2 degrees?
2 degrees colder than 1 degree
2 degrees colder than 0 degrees
2 degrees warmer than 1 degree
2 degrees warmer than 0 degrees
Answer:
B
Step-by-step explanation:
2 divided by one over 3 the awnser is a fraction
Answer:
1/6
Step-by-step explanation:
2/1÷ 1/3 (First make 2 a fraction, because 2= 2/1 we will use 2/1)
1/2÷ 1/3 (Now we flip the numerator and denominator on a fraction)
1/2 (1/3) (Now we multiply straight across numerator times numerator, denominator times denominator)
1/6 (This is our answer!)
Hope this helped! Stay safe and have a good day or night!
Help!!!!!!
Describe the process you can use to solve a system of equations using a matrix.
Answer:
To solve a system of linear equations using an inverse matrix, let A be the coefficient matrix, let X be the variable matrix, and let B be the constant matrix.
Step-by-step explanation:
It just be that way sometimes
If I have a probability of 2/5, what is the percentage of probability.
A. 52%
B. 40%
C. 2.5%
D. 80%
Answer: 40%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.
We can do this by setting up a proportion.
[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (2)(100) which is 200 is equal to (5)(n) or 5n.
So we have 200 = 5n.
Next, dividing both sides of the equation by 5, we have 40 = n.
So 2/5 is equal to 40/100 or 40%.
Find the diameter of the object.
A circular steering wheel with radius labeled 0.8 feet.
diameter:
ft
in order to find the diameter, you multiply the radius times 2.....so you would do 0.8 times 2 which equals 1.6
The diameter of the circular steering wheel is 1.6 feet
How to determine the diameter?The radius of the object is given as:
r = 0.8 feet
Multiply both sides by 2, to determine the diameter
d = 2 * 0.8 feet
Evaluate
d = 1.6 feet
Hence, the diameter of the circular steering wheel is 1.6 feet
Read more about diameter at:
https://brainly.com/question/17692316
Based on the boxplot, which statement below is true?
A) The range of both box plots is about the same.
B) The means of both plots are approximately equal.
C) Plot B contains more data points than Plot A.
D) The mediums are approximately equal.
Answer:
A
Step-by-step explanation:
Solve the following equation for x. x2 + 8x + 7 = 0 A. x = -1; x = -7 B. x = 1; x = -7 C. x = 1; x = 7 D. x = -1; x = 7
So the right answer is of option A.
Look at the attached picture
Hope it will be helpful to you..
Answer:
a
Step-by-step explanation:
i took this text
help will give you brainliest!!!
Answer:
Hello There Again. The correct answer is B. C. And E.
Explanation:
Because it shows that Stacy section of the numbers 2, 3, 4, 5, and 6 to play they game. but the statement Is D. but why is D. because it say that it is less likely that the power will on add numbered section and why i pick E. because it shows that Stacy use the spinner of the six number to play the game. And why it B. because of the pointer of the landing is a even-numbered section. Hope It Helps! .ω.
Find the value of x and y
Answer:
x = 45
y = 20
Step-by-step explanation:
Set the x-variables and y-variables with its corresponding ones, like so:
4x - 35 = 3x + 10
Subtract 3x from both sides:
x - 35 = 10
Add 35 to both sides:
x = 45
Solving for y:
2y - 5 = y + 15
Subtract y from both sides:
y - 5 = 15
Add 5 to both sides:
y = 20
Answer:
By vertically opposite angle
2y-5=y+15
y=20°
4x-35=3x+10
x=45°
Which ordered par Woud form a proportional relationship with the point graphed Below?
A (10,10)
B (25,35)
C (70,50)
D (90,60)
A line passes through the point (6,-6) and has a slope of 3/2. Write a equation in point-slope form for this line
Answer: [tex]y+6=\frac{3}{2} (x-6)[/tex]
Step-by-step explanation:
use the equation [tex]y-y_{1} =m(x-x_{1})[/tex]
we know the slope, y, and x, so plug in
[tex]y-(-6)=\frac{3}{2} (x-(6))[/tex]
[tex]y+6=\frac{3}{2} (x-6)[/tex]
Answer:
[tex]y=\frac{3}{2}x-15[/tex]
Step-by-step explanation:
The point-slope equation is [tex]y-y_{1} =m(x-x_{1} )[/tex]
Here our m is our slope which is [tex]\frac{3}{2}[/tex] and our [tex](x_{1},y_{1})[/tex] point is (6, -6)
Plugging in these values to our equation gives us
y - (-6) = [tex]\frac{3}{2}[/tex](x - 6) → distribute the negative to the -6 on the left side and then distribute the [tex]\frac{3}{2}[/tex] to the x term and the -6 on the right side → y + 6 = [tex]\frac{3}{2}x[/tex] - 9 → then subtract the 6 from both sides → [tex]y=\frac{3}{2} x-15[/tex]
What is the sum of these expressions: (-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)
Answer:
0.6-4.3s-2.6
Step-by-step explanation:
Answer:
-4.3s + 0.6t - 2.6
Step-by-step explanation:
I need the answer please help me
Answer:
opposite angles have the same number of degrees. so answer is 63 degrees.
Step-by-step explanation:
Answer:
Step-by-step explanation:
∠NMR = 63°
Vertically opposite angles are equal.
Which function describes the graph shown below?
On a coordinate plane, a curve crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
y = one-half sine (x) minus 2
y = 2 sine (x) minus one-half
y = one-half cosine (x) minus 2
y = 2 cosine (x) minus one-half
Answer: A
Step-by-step explanation:
The amplitude is .5 and the vertical translation is -2. So, y= 1/2sin(x)-2
Answer:
A. y= 1/2 sin(x)-2
Step-by-step explanation:
Correct in edge 2021!
NEED HELP ASAP
Find the volume of the cylinder. r measures 7 inches, height measures 8 inches
Answer:
1230.88
Step-by-step explanation:
Volume= pi(r^2)h
Volume=3.14(49)(8)
Volume=1230.88
(-15)+(-45)/-5 .........please help
Answer:
60
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
I added (-15) + (-45) and got -60.
And i divided it by -5 and got 12.
A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid
Answer:
8mStep-by-step explanation:
Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;
a is the base edge
a² is the base area
h is the slant height
Given Volume of the pyramid V = 384m³
Base area a² = 144m²
h =?
On substituting to get the slant height;
[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]
The slant height of the pyramid is 8m
how do you write the algebraic notation when the scale factor is 3
Answer:
(x,y) = (3x,3y)
Step-by-step explanation:
Answer:
I can agree
Step-by-step explanation:
The area of a parallelogram 420 square cm and the height is 35 cm. Find the corresponding base.
Answer:
12
Step-by-step explanation:
420/35
12
12*35=420
Answer:
The corresponding base is 12 cm.
Step-by-step explanation:
The area of a parallelogram is calculated with the formula of A=bh, where b is the base and h is the height.
You can apply the problem to the formula:
420=b(35)
To solve, work backwards.
Divide 35 to both sides.
420 divided by 35 is 12
b=12
Hope this helps!
What is the median of this data set?
A.) 1 Books
B.) 2 Books
C.) 3 Books
D.) 4 Books
Answer:
D) 4 books
Step-by-step explanation:
plz mark me brainliest
Answer: 4 took quiz lol
Step-by-step explanation:
What is the range of the relation?
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
{-4, -4,-3, 1}
{-4, -3, 13
{1, 1, 3, 4]
{1,3,4
So the right answer is of option D.
Look at the attached picture..
Additional Information:
The second components of a relation is called range
Hope it will be helpful to you. .
The range of the function is {-4, 4, -3, 1}.
What is the range of the function?The range of a function is a set of all its possible outputs.
The range is the spread of the values of the output of a function. If we are able to calculate the maximum and the minimum values of the function, we can get an idea of the range of the function.
The given relation is;
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
The range of a function refers to the entire set of all possible output values of the dependent variable.
The range of a function is a set of all its possible outputs.
The range of the function is {-4, 4, -3, 1}.
Learn more about the range here;
https://brainly.com/question/393946
#SPJ2
Amy must choose a number between 55 and 101 that is a multiple of 3, 6, and 7. Write all the numbers that she could choose. If there is more than one number, separate them with commas.
Answer:
84
Step-by-step explanation:
L.C.M. of 3,6,7=42
42×1=42
42×2=84
42×3=126
55<84<101
if y=4x-1, determine the value of y when x=7/2
Answer:
y=13
Step-by-step explanation:
Answer:
y =13
Step-by-step explanation:
y=4x-1
Let x = 7/2
y = 4(7/2) -1
y = 14 -1
y =13
