Answer:
(AD)^2=(AB)^2-(BD)^2
(AD)^2=(15)^2-(12)^2
(AD)^2=225-144
AD=√81
AD=9.
A study compared the number of years of education a person received and that person's yearly salary. It was determined that the relationship between these two quantities was linear and the correlation coefficient was 0.91. Which conclusion can be made based on the findings of this study?
Answer:
Salary earned increases as the number of years of education earned increases.
Step-by-step explanation:
Given that the correlation between the number of years of education a person receive and his yearly salary yields a linear relationship with a correlation Coefficient of 0.91, this shows that a strong positive relationship exists between the two measured quantities, this is deduced by the positive nature of the correlation Coefficient value obtained and the fact that the value of the Coefficient is close to 1. Hence, salary earned increases as the number of years of education increases and Vice versa.
martina bought some book. she spent a total of $45 after a discount of $6 off of her purchase. each book cost $3 . how many books did she buy ?
A) write an equation that could be used to answer the questions above. First, choose the appropriate form. Then, fill in the blanks with the numbers 45, 6, and 3. Let b represent the number of books.
B) Solve the equation in part (a) to find the number of books.
Answer:
17 books
Step-by-step explanation:
A) 3b - 6 = 45
B) 3b - 6 = 45
3b = 51
b = 17
Topic: Algebraic equations
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
A cone has a height of 7 yards and a radius of 4 yards. What is Its volume?
Use a % 3.14 and round your answer to the nearest hundredth.
cubic yards
Answer:
788878
Step-by-step explanation:
789879
Rebecca is distributing fidget spinners as part of her campaign for school president. she has 500 fridge my spinners to distribute in packs of 25 per teacher. write a function modeling this situation. define all unknown variables
Answer:
Y= 20
Step-by-step explanation:
From the question, Rebecca has 500 fridge my spinners to distribute in packs of 25 per teacher, we can denote the number of this teacher with "Y" then for her to distribute those 500 fridge in packs of 25 per teacher, then we can say (25× Y)= 25Y ,since she has 500 fridge in total to distribute then we can write a write a function modeling this situation as
25Y=500
where Y is the number of teacher
Make Y subject of the formula we have
Y= 500/25
Y=20
Answer:
25x=500 or x=20
Step-by-step explanation:
__
Well Rebecca have 500 fidget spinners so you put that on one end and let x be the number of teachers if you have 25 fidget spinners per teacher you need to multiply 25 by the number of teachers or x to find out so the equation will look like this: 25x=500
If you want to simplify you divide by 25 into both sides which are 20
Find coordinates of the image of the point A(3,9) for a dilation with the scale factor of 2/3
Answer:
The coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be: A'(2, 6)
Step-by-step explanation:
Given the point A with the vertices (3, 9) i.e. A(3,9)
As we know that If the scale factor is between 0 and 1, the image gets shrunk.
In order to dilation with a scale factor of 2/3, just multiply the x and y coordinates of the original point (3, 9) by 2/3.
i.e.
(x, y) → (2/3 x, 2/3 y)
so, the coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be:
A (x, y) → (2/3 x, 2/3 y) = A (2/3 (3), 2/3 (9)) = A'(2, 6)
Therefore, the coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be: A'(2, 6)
$3.98 divided by 100
Answer:
The answer is 0.0398
Step-by-step explanation:
I googled it
help fast it's timed..
What is the equivalent form of the mathematical expression 14 + 35?
Group of answer choices
2(7 + 17)
14(1 + 21)
7(2 + 5)
10(4 + 15)
Answer:
7(2 +5)
Step-by-step explanation:
Both the numbers (14 and 35) have a GCF (greatest common factor) of 7. If you divide both numbers by 7, you get 2 and 5. Therefore, your answer would be 7(2 +5)
Answer:
I guess it is A because it is the closest to the answer for the expression 14 + 35.
Step-by-step explanation:
Someone pls help me!!!
Answer:
1. 32
2. 5
3. 9
4. 3
5. 4.2
6. 5.6
Solve for x: 7x + 15 = 38
A: 23/7
B: 53/7
C: 23
D: 53
Draw the graph of y=2x+3 on the grid
PLEASE HELP!!!! LAST QUESION!!!?
Answer:
y = 60
x = 20
~ PumpkinSpice1
Sorry this is super messy, Hope it makes sense! Tell me if it doesn't :)
In a group of 10 boys each boy had 2hats how many hats did they have
Answer:
20 hats
Step-by-step explanation:
If one boy had two hats, and there were ten boys, you would simply multiply 10 by 2! that gets you 20, which is your answer!
You can think of it as instead of each boy having one hat (which would make it ten hats in total), they'd have double of ten, making it 20!
I hope this helps!
3x+ax-6>-10. Determine the largest integer value of a when x= -2
Answer:
a>
−3x−4
x
Step-by-step explanation:
what is the equation a line passes through the points p(2,4) q(-1,3)
pls write the steps u did
When two parallel lines are intersected by a transversal, the same-side exterior angles are supplementary. That means that their sum is 180.
Using that logic, if the two roads were parallel, then the sum of their same-side exterior angles will add up to 180. Yet their same-side exterior angles add up to 170 (130 + 40 = 170), hence they can't be parallel.
See the drawing attached below.
Using supplmenatry angles (two angles whose sum of measures add up to 180 or a straight line), we can say that:
m<DIE + m<HID = 18
40 + m<HID = 180
m<HID = 140
Similarly:
m<BHC + m<CHI = 180
130 + m<CHI = 180
m<CHI = 50
Using verticle angles therome, (when two lines intersect, the angles opposite to eachother are congruent, or have the same measure), we can say that:
m<DIE = m<GIH = 40
m<GIE = m<HID = 140
m<CHI = m<AHB = 50
m<BHC = m<AHI = 130
Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes, or 0.83 hour.
Who runs faster?
Answer: Maura runs faster
Step-by-step explanation:
Elena bought 8 tokens for $4.40. At this rate: 1)How many tokens could she buy with $6.05? 2) How much do 19 tokens cost?
Answer: She could buy 11 tokens and 19 tokens cost 10.45
Step-by-step explanation:
divide how much money you spent by how many tokens you bought
4.40/8=0.55 x 19= 10.45
6.05/0.55=11
Wendy has red and white roses in groups of 6. She has x groups of red roses and y groups of white roses. Which expression shows the total number of roses that Wendy has?
aX/6+Y/6
b6x + 6y
c6x + y
dx + 6y
Answer:
b. 6x + 6y
Step-by-step explanation:
x groups of 6 red roses
y groups of 6 white roses
of in math means multiply
so it is 6 times plus 6 times y
it could also be written as 6x+6y
(when a letter stands next to a number you multiply it)
Is the following table a function?
20 points
Х
Y
-3
0
-5
4.
7
-3
0
Function
Not a function
Answer:
not a function (I think)
Step-by-step explanation:
For each set of measurements, decide whether or not it is possible to draw a triangle with those measurements. If it is possible, draw the triangle. Side lengths 2 cm, 3 cm, and 4 cm Side lengths 2 cm, 3 cm, and 6 cm Angles 90 degrees, 45 degrees, and 45 degrees Angles 90 degrees , 60 degrees, and 60 degrees
Answer:
1. Triangle
2. Not a triangle
3. Triangle
4. Not a triangle
Step-by-step explanation:
Required
Check for valid triangles
Given 3 sides of a triangle: A triangle is valid If the sum of any two sides is greater than the third
1. Sides: 2cm, 3cm and 4cm
To check:
2cm + 3cm > 4cm --- True
2cm + 4cm > 3cm ---- True
3cm + 4cm > 2cm ----- True
The above conditions are true, hence the input values form a triangle.
2. Sides: 2cm, 3cm and 6cm
To check:
2cm + 3cm > 6cm --- False
2cm + 6cm > 3cm ---- True
3cm + 6cm > 2cm ----- True
One of the above conditions is false. Hence, the input values do not form a triangle.
Given the angles of a triangle, their sum must be equal to 180°
3. Angles: 90°, 45° and 45°
Sum = 90° + 45° + 45°
Sum = 180°
This is a valid triangle because the sum equals 180°
4. Angles: 90°, 60° and 60°
Sum = 90° + 60° + 60°
Sum = 210°
This is not a valid triangle because the sum does not equal to 180°
The above conditions are true, hence the input values form a triangle.
what is x and y:
5x-y=22
x=5y=(-6)
Answer:
-30, this answer is -30.
Maria deposited $5,700 in an account that earns 8% simple interest. Maria made no withdrawals or deposits. What will be the total amount of money in her account after 6 years?
Answer:
FV= $8,436
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $5,700
Simple interest (i)= 8% = 0.08
Number of periods (n)= 6 years
To calculate the future value (FV), we need to use the following formula:
FV= PV*i*n + PV
FV= 5,700*0.08*6 + 5,700
FV= $8,436
Find X if m/angle UVY=84 degrees.
Answer:
x = 42º
Step-by-step explanation:
We know that m < UVY is equal to 84º (Given)
We know that < UVY = < SVW (Vertical Angles Theorem)
By substituting in the known values for the anges, we know that:
< UVY = < SVW
84º = 2x
Simplify the equation by dividing by 2 on both sides.
x = 42º
Hope this helps! Let me know if you have any questions!
Solution given:
<UVY=2x[vertically oppisite anglle]
x=84/2=42° is your answer
PLEASE HELP THANKS!!!
If the measures of two sides of a triangle are 3 feet and 7 feet which is the least possible whole number measure for the third side
Answer:
5,6,7,8,9 ft
Step-by-step explanation:
7-3 < x < 7+3
x < 10
x= 5,6,7,8,9
Need Help Asap! Thank you!
What does the point (0, 0) on the graph represent?
Answer:
the origin
Step-by-step explanation:
Answer:
It is the origin of the graph.
Step-by-step explanation:
N+16=9 solve for variable
Answer:
N= -7
Step-by-step explanation:
N+16=9
subtract 16 from both sides
N= -7
Which statements regarding triangle ABC are correct
Check all that apply.
Answer:
A & C
Step-by-step explanation:
AB is the shortest segment in ABC
AC = 2AB