Answer:
[tex]p =4[/tex]
Step-by-step explanation:
Given
Variation: Inversely
[tex]p = 12[/tex] when [tex]q = 45[/tex]
Required
Determine p when [tex]q = 135[/tex]
First, we need to determine the relationship between p and q
Since, it is an inverse variation.
The relationship is:
[tex]p\ \alpha\ \frac{1}{q}[/tex]
Convert to an equation
[tex]p= k *\frac{1}{q}[/tex]
[tex]p= \frac{k}{q}[/tex]
Where k = constant of variation
Make k the subject
[tex]k = p * q[/tex]
When [tex]p = 12[/tex] and [tex]q = 45[/tex]
[tex]k = 12 * 45[/tex]
[tex]k = 540[/tex]
To solve for p when q = 135
Substitute 135 for q and 540 for k in [tex]p= \frac{k}{q}[/tex]
[tex]p = \frac{540}{135}[/tex]
[tex]p =4[/tex]
put these in order from least to greatest
14 √166 13
Answer:
sqrt166, 13, 14
Step-by-step explanation:
what is 2+n+6?
solve.
Answer:
2 + n + 6 = 8 + n
Step-by-step explanation:
that should be the answer
100 points!!! Has anyone done unit 5 test for AP World history?? Edge2020 Answers pls.. Will mark brainliest!!!
WILL GIVE BRAINLIEST!!
Answer:
1 1/3?
Step-by-step explanation:
Anyone knows the slope of this graph?
C=30+15h what is the answer to this question
Answer:
45h that the answer I think
Answer:
C and h are both variables so the answer is ∞.
26-(6y-10)=27y-18-37 First will get brainliest!
Answer:
y = 91/33
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
26 - (6y - 10) = 27y - 18 - 37
Step 2: Solve for y
Distribute negative: 26 - 6y + 10 = 27y - 18 - 37Combine like terms: -6y + 36 = 27y - 55Add 6y to both sides: 36 = 33y - 55Add 55 to both sides: 91 = 33yDivide 33 on both sides: 91/33 = yRewrite: y = 91/33his year, Cornell’s class took two more than three times as many field trips as last year’s class. This year, Cornell’s class took a total of 8 trips. How many field trips did his class take last year?
The sides of a triangle are in the ratio 2:3:4 and the longest side is 20 cms longer than the shortest side. Compute the length of each side.
Answer:
40 cm ; 30cm ; 20cm
Step-by-step explanation:
Given that:
Sides of a triangle are in the ratio 2:3:4
Let :
length of the sides = 2x, 3x, 4x
longest side = 4x
Mid side = 3x
Shortest side = 2x
Length of longest side is 20 cm longer than shortest side
4x = 2x + 20 - - (1)
4x - 2x = 20
2x = 20
x = 10
Hence,
longest side = 4x = 4*10 = 40 cm
Mid side = 3x = 3 * 10 = 30 cm
Shortest side = 2x = 2 * 10 = 20 cm
Lauren buys 17 pounds of bread for her restaurant every day at a cost of $1.40 per
pound.
How much does she pay for the bread each day?
Giving BRAINLEST PLEASE I NEEDA PAST MATH!
Answer:
Step-by-step explanation:
= - 7
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Step-by-step explanation:
Fractions consisting of integers are only undefined if the denominator is zero. All other combinations will give you a rational number.
42 / (-7)
We can multiply both halves of the fraction by -1 to move the negative sign into the numerator:
-42 / 7
Then divide 42 by 7 to get:
-6
Find the area of the patio
Answer:19x^2-68x
Step-by-step explanation:
first, add the 2x on the side of the large rectangle to the 2x on the pool side to find the length. then find the area of the entire image (4x•8x-10=32x^2-40x) now find the area of the pool (2x•6x-14=12x^2-28x) and add it to the area of the hot tub (x•x=x^2) (13x^2-28x) finally subtract that from the area of the entire image (32x^2-40x=19x^2-68x)!
Adams High School is going to select a committee. The committee will have a faculty member, a male student, a female student, a parent, and a school board member. Here are the positions and the people interested in each. Position People interested Faculty member Mr. Jackson, Mrs. Washington Male student Tom, Omar, Keith, Justin Female student Donna, Charmaine, Rita, Keiko Parent Dr. Ward, Ms. Allen, Mrs. Flores, Mrs. Smith School board member Dr. Davis, Ms. Young, Mrs. King, Mr. Adams Based on this list, how many ways are there to fill the five committee positions?
Answer:
512 ways
Step-by-step explanation:
Given
Selection
Faculty Member = 1
Male Student = 1
Female Student = 1
Parent = 1
School Board Member = 1
Select from:
Faculty Member = 2
Male Student = 4
Female Student = 4
Parent = 4
School Board Member = 4
Required
Determine how many ways they can be selected
There are 2 faculty members of which 1 will be selected from.
Any of these two members may be selected.
So, Selection = 2
There are 4 male students of which 1 will be selected from.
Any of these four students may be selected.
So, Selection = 4
There are 4 female students of which 1 will be selected from.
Any of these four students may be selected.
So, Selection = 4
There are 4 parents of which 1 will be selected from.
Any of these four parents may be selected.
So, Selection = 4
There are 4 school board members of which 1 will be selected from.
Any of these four members may be selected.
So, Selection = 4
Total number of selection is then calculated as thus:
[tex]Selection = 2 * 4 * 4 * 4 * 4[/tex]
[tex]Selection = 512[/tex]
Hence, there are 512 ways
If ∆ and ∆ are two triangles such that ∠ ≅ ∠, which of the following
would be sufficient to prove the triangles are similar?
Step-by-step explanation:
If angles are equal then sides will also be equal.
Cause: Equal angles have equal sides.
You can then prove them by using SAS, SSS ASA, AAS
on a beautiful day there are 65 cars in the beach parking lot 26 more cars park in the parking lot before noon but 17 car slept how many cars are in the beach parking lot
Answer:
a
Step-by-step explanation:
what’s the axis of symmetry & vertex *PICTURE*
Answer:
2.5
Step-by-step explanation:
:)
I’m giving first answer brainliest so hurry it up ya know
Answer:
ummmmmm
Step-by-step explanation:
Pls answer I need help!
Dividing fractions is the same as multiplying the reciprocal.
As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.
Keep: [tex]\frac{4}{9}[/tex]
Switch: the division sign to multiplication.
Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].
Now, your problem looks like this:
[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)
Multiply across.
4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.
Given the side lengths, determine whether the triangle is acute,right, obtuse, or not a triangle
Answer:
acute angle
Step-by-step explanation:
just took the test
What is the value of the expression when x = 7 and y = 7? A. 8 B. 15 C. 50 D. 97
PLS HELP
Answer:
B. 15
Step-by-step explanation:
the difference of two numbers is 72 and their quotient is 10 plz help
Answer:
The numbers would be 80 and 8
Step-by-step explanation:
Hope this helps
Answer:
We have, x - y = 72
and, x = 10y
so, 10y - y = 72
y = 8
so, x= 80
Step-by-step explanation:
HELP ME ASAP!!!!!!!! :)
Answer:
Step-by-step explanation:
(B) 0.752 and 0.232323....
Please help! This is due today!
Answer:
Z = 70
Step-by-step explanation:
14×25 = 5z
350 = 5z
Z = 350/5
Z = 70
Ella finished a bike race in 37.6 minutes. Miranda finished the race minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race?
Complete question :
Ella finished a bike race in 37.6 minutes. Miranda finished the race 9 1/10minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race
Answer:
28.5
Step-by-step explanation:
Time taken by Ella = 37.6 minutes
Time taken by Miranda = 9 1/10 minutes sooner than Ella
Hence,
Miranda's finish time :
37. 6 minutes - 9 1/10 minutes
37.6 - 91/10 minutes
37. 6 minutes - 9.1 minutes
= 28.5 minutes
Slope From Graph.. Help
slope is 3
Step-by-step explanation:
y2-y1/x2-x1
so 3-0/-1--2 or 3-0/-1+2
Find an equation of the line that is perpendicular to y = 1/7x + 5 and has a y-intercept of — 2. Write your answer in the form y = mx+b
y = 3x + 2 this is the answer if I am right
What is the value of x? Enter your answer in the box
Answer:
x=28
Step-by-step explanation:
Set 2x-4 equal to 60 and solve.
The three angles in the triangle add up to 180. Divide this by 3 and you get 60.
Find the slope of the line that passes through (3, 8) and( 2,10)
Answer:
slope is -2
Step-by-step explanation:
10-8=2
2-3=-1
2/-1
-2
Given the point (1, 2) and a slope of 4, write the equation in point slope form.
This article is about the math term. For other uses, see Slope (disambiguation).
For the grade (incline or gradient or pitch or slope) of any physical feature, see Grade (slope).
Slope: {\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}{\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]
Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.
The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.
A line is increasing if it goes up from left to right. The slope is positive, i.e. {\displaystyle m>0}m>0.
A line is decreasing if it goes down from left to right. The slope is negative, i.e. {\displaystyle m<0}m<0.
If a line is horizontal the slope is zero. This is a constant function.
If a line is vertical the slope is undefined (see below).
The rise of a road between two points is the difference between the altitude of the road at those two points, say y1 and y2, or in other words, the rise is (y2 − y1) = Δy. For relatively short distances, where the earth's curvature may be neglected, the run is the difference in distance from a fixed point measured along a level, horizontal line, or in other words, the run is (x2 − x1) = Δx. Here the slope of the road between the two points is simply described as the ratio of the altitude change to the horizontal distance between any two points on the line.
In mathematical language, the slope m of the line is
{\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}m=\frac{y_2-y_1}{x_2-x_1}.
The concept of slope applies directly to grades or gradients in geography and civil engineering. Through trigonometry, the slope m of a line is related to its angle of incline θ by the tangent function
{\displaystyle m=\tan(\theta )}m = \tan (\theta)
Thus, a 45° rising line has a slope of +1 and a 45° falling line has a slope of −1.
What is the domian of the following represented by ordered pairs?
{(3, 7), (-5, 1), (2, 4), (-3, 6)}
Answer:
The Domain are 3,-5,2,-3
Step-by-step explanation:
hope that helps
Answer:
The domain is (3, -5, 2, -3
Step-by-step explanation:
Plz give brainlyest