Answer:
16.5
Step-by-step explanation:
Given data to us is ,
20, 15, 14, 16, 17, 12, 20, 22 .Arrange it in ascending order .
= 12 , 14 , 15 , 16 , 17 , 20 , 20 , 22
The middle most observation will be median in case n is odd and average of middlemost observations if n is even , that is n = 8 .
=> Middlemost observations = 16 , 17
=> Mean = 16 + 17 /2 = 33/2 = 16.5
You can use this rule to work out the total cost of hiring a car. Total cost = £4 per hour plus £12. Arun hires a car for 5 hours. Work out the total cost.
Answer:
£32
Step-by-step explanation:
12 + 4(5) = 32
Stay safe! <3
I was training the cross country team. Every week I expected the students to run 12 3/4 miles every week. If the kids ran
for 5 days that week, how many miles would they need to run each day to meet my expectations ?
Answer:
x = 2.55 miles per day
Step-by-step explanation:
In English: 5 days * 'x' miles per day = 12 & 3/4 miles total
In algebra: 5x = 12.75
x = 12.75 ÷ 5
x = 2.55 miles per day
The length of one side of a triangle is 3 feet less than twice the length of its second side. The third side is 2/3 of the sum of the lengths of the first 3 sides. Find the length of all three sides if the perimeter is 6.5
Answer:
side 1: 1.6
side 2: 2.3
side 3: 2.6
Step-by-step explanation:
side 1: 2x - 3
side 2: x
side 3: 2/3(x + 2x - 3) = 2x-2
(2x - 3) + x + (2x - 2) = 6.5
5x - 5 = 6.5
5x = 11.5
x = 2.3
side 1: 1.6
side 2: 2.3
side 3: 2.6
Tania bought 9.6 gallons of gas for $27.36. Find an equation that can be used to determine x, the price of each gallon of
gas? What is the price of each gallon of gas? Show work.
Answer:
9.6(x)= 27.36 27.36÷9.6=x x=2.85
A stone is thrown upward, its height h meters after t seconds is given by this formular h=30t-5t². Find t when it is at a height of 25m, why are there two answers, what do they mean?
Answer:
the answer is
T¹=5s
T²=1s
Am not sure about why there's two times , although perhaps the two times indicate the starting time and the other indicate the time when the stone hits 25m above the ground
Step-by-step explanation:
the solving steps are in the picture.
A $329.50 gaming system goes on sale for 60% off. You have a coupon for an additional 40%
off the sale price. Does this mean you will get the gaming system for free? Why or why not?
Answer:
no
Step-by-step explanation:
no because if you multiply $329.50 by .6 you get $197.7, then with the additional 40% (.4) you end up having to pay $79.08
Eric's water bottle holds 500 mL. He drinks 4 bottles of water at soccer practice.
How many liters of water does he drink?
A.2 L
B.5 L
C .2L
D.5L
2 litres of water. A
Eric's drink 2 liters of water.
What is liter?
" Liter is a basic unit which is used to measure volume of any liquid."
According to question,
Capacity of one water bottle = 500mL
Capacity of 4 water bottles = [tex]500[/tex] × [tex]4[/tex]
= 2000mL
1000mL = 1Liter
2000mL =2L
Hence we conclude that Option A is correct.
Learn more about Liters of water here
https://brainly.com/question/22384228
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A corporation reported cash of $26,200, total assets of $457,000, and total equity of $156,630 on its balance sheet. Its common-size percent for cash equals:
Answer:
Common-size percent for cash = 5.73 % (Approx.)
Step-by-step explanation:
Given:
Total cash = $26,200
Total assets = $457,000
Total equity = $156,630
Find:
Common-size percent for cash
Computation:
Common-size percent for cash = [Total cash/Total assets]100
Common-size percent for cash = [26,200/457,000]100
Common-size percent for cash = 5.73 % (Approx.)
Find the size of angle XYZ. Give your answer to 1 decimal place.
Answer:
45
Step-by-step explanation:
Because this is a triangle all angles must add up to 180. so we already know 90 so 180-90=90 and 90/2 = 45. Hope this helps
Step-by-step explanation:
1. Label each side of the Triangle
Using the SOH CAH TOA method we can label zy as H (the longest line is always H). We can label xz as O (it is opposite the angle). We can label xy as A (it's the remaining side).
2. Cross out the 'useless' side
Now, we need to cross out the label which doesn't have an appointed piece of information to it. Meaning that A will remain as it labels 7cm. H will also remain as it labels the angle. O does not label anything and so we can cross it out.
3. Decide which method is correct
We are using the SOH CAH TOA method, this means we can either use SOH, CAH, or TOA to solve the problem. We know which method to use by seeing which of them does not contain the letter we crossed out. CAH does not contain O so it is the correct method.
4. Know the formula
Now we will use the formula of our found method. CAH begins with C and so does Cos. Therefore, Cos is our formula.
Cos( ) = A/H
5. Substitute in your numbers
Then, we will put in our numbers into the formula. The first slot we must fill in is within the brackets. Usually the angle goes inside of the brackets during trigonometry but we obviously do not know it. This means we will use 'x' inside of the brackets. Our formula now looks like this:
Cos(x)
Substitute in A and H. A will be the information appointed to the side we labelled A. H will be the information appointed to the side we labelled H.
Our formula will look like this:
Cos(x) = 7/12
6. Reverse it and calculate
Now we need to input an equation into our calculator. I don't know why but we will need to reverse our previous formula and type it into the calculator as:
cos-^1(7/12)
The result should say 54.31466529.
7. Round
Now we will round it by 1 decimal place. To do this we need to look at the number next to 3, it is not 5 or above 5. This means we will not round up,
our answer is 54.3 degrees.
Identify the slope and y intercept of the function y=4x-9
Find the values of x and y.
A. x = 42, y = 26.3
B. x = 47, y = 30
C. x = 42, y = 30
D. x = 47, y = 26.3
Answer:
C
Step-by-step explanation:
2x + 1 = 85 (Alternate Interior Angles Theorem)
2x = 84
x = 42
(3y + 5) + (2x + 1) = 180 (Linear Pair Theorem)
3y + 5 + (85) = 180
3y + 5 = 95
3y = 90
y = 30
Answer:
x = 42, y = 30
Step-by-step explanation:
Alternate angles are equal so
85 = 2x + 1
2x = 84
x = 42°
Linear pair
(3y + 5) + (2x + 1) = 180
3y + 5 + 85 = 180
3y = 90
y = 30°
So I think the answer is x = 42° and y = 30°.
Hope it helps.
Where does the adjacent interior angle go in a triangle?
Answer:
Any two interior angles that share a common side are called the "adjacent interior angles" of the polygon, or just "adjacent angles". Here the word adjacent is used in its ordinary English meaning of "next to each other".
Step-by-step explanation:
Evaluate the expression for r = 4 and s = 5
10 + r(s - 1) =
Answer:
26
Step-by-step explanation:
Substitute the values of r and s into the equation:
10 + r(s - 1 ) =
10 + 4(5 - 1 )
Then use Pemdas to solve the rest.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Factorise the following expressions :
Answer:
36x²+96xy+64y²
(6x)²+2×6x×8y+(8y)²
it is in formula of (x+y)²
:.(6x+8y)² or (6x+8y)(6x+8y)
These 10 blocks are separated into 2 groups. Which equation represents how to find the number of blocks in each group?
A. 10 ÷ 2 = 5
B. 10 ÷ 5 = 2
C. 5 ÷ 2 = 10
D. 2 ÷ 5 = 10
Answer:
A) would be the answer
Step-by-step explanation:
this is the answer because 2 groups with 10 blocked all together has to have 5 blocks each group, also 5+5=10
Arithmetic mean of nine observations is calculated as 38. But in doing so, mistakenlythe observation 27 is taken instead of 72. Find the actual mean of the data.
Answer:
Actual Mean = 43
Step-by-step explanation:
Given Mean = 38
No of observations = 9
we know,
Mean = Sum / N
38 = Sum/ 9
Sum = 38 x 9 = 342
Since the observation 27 was mistakenly taken instead of 72, we subtract 27 from the sum and add 72.
New sum = 342 - 27 = 315 again, 315 + 72 = 387
The no. of observations stays the same.
Actual mean = New Sum / N
= 387/9
=43
Step-by-step explanation:
arithmetic mean =38
n=9
mean=sum/n
sum=mean×n=38×9=342
mistakenly observation 27 is taken instead of 72
new sum becomes =342+72-27=387
now
new mean =new sum/n=387/9=43
the actual mean of the data is 43.
help pls what is the area of this shape?
Answer:
I think 15 I dont see it in the options but im going to explain my answer
Step-by-step explanation:
4 + 4 = 8, 13 - 8 = 5 x 6 = 30 divided by 2 is 15
SO 8 x 13 = 104 - 15 = 89 so therefore its 89!
I really need help with my question
answer :
z=11
y=13
will be ur answers
How do I tell my mom I have depression so she will stop hurting me with hurtful words-
Answer:
Just tell her and if she says you dont tell her that you do. If she continues to hurt you then probaly call the police.
Step-by-step explanation:
Answer:
try to find someone close to you like a relative or best freind and tell them about her. After that try to confront her about it, and bring that close one with you to make you feel more strong. if she says you dont
have it and contiues hurting you tell the police.
WILL GIVE BRAINLIEST
Answer:
hey there, it's option A, -7.
What should I know before precalculus?
please mark me brainliest and whoever marks me right down your name and I will mark you back
Answer:
hope it helps
Step-by-step explanation:
You'll be doing a lot of graphing, quadratic equations, polynomial equations, trig graphs and inverse graphs to name a few things so make sure you're good with algebra, geometry, and trigonometry. Trig identities and algebra skills
Divide simplify your answer,12/1/4 divide 1/8
Answer:
24
Step-by-step explanation:
Is 3/2 greater than 1? Or Less than
Answer:
3/2 is greater than 1
Step-by-step explanation:
A little trick to immediately know if a number is more or less than when it involves fractions versus whole numbers is that improper fractions will always be greater than 1.
If you want to confirm this, dividing 3/2 equals 1.5, ergo 1.5 > 1.
In essence, improper fractions will always represent a number greater than one contrasted to proper fractions because if you put it on a perspective (let's say you have 13 pie slices but you only needed 12, that means there is a pie slice that's extra that makes it greater than the original pie slices).
Hope that helps :)
Todd had 6 gallons of gasoline in his motorbike. After driving 150 miles, he had 3 gallons left. Compute the slope, or rate of change in the amount of gasoline.
The rate of change is __ miles per gallon.
Answer:
50 miles per gallon, 50/1
Step-by-step explanation:
PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST
For a certain value of k, the system
x + y + 3z = 10,
-4x + 3y + 5z = 7,
kx + z = 3
has no solutions. What is this value of k?
Answer:
k = 7/4Step-by-step explanation:
Given system:
x + y + 3z = 10, -4x + 3y + 5z = 7, kx + z = 3Substitute z in the first two equations with z = 3 - kx:
x + y + 3(3 - kx) = 10 ⇒ (1 - 3k)x + y = 1 ⇒ y = (3k - 1)x + 1-4x + 3y +5(3 - kx) = 7 ⇒ -(4 + 5k)x + 3y = -8 ⇒ y = 1/3(5k + 4) - 8In order the two equations above not to have a solution, the lines should be parallel. Parallel lines have equal slopes.
Solve the following equation for k:
3k - 1 = 1/3(5k + 4)9k - 3 = 5k + 44k = 7k = 7/4In ΔXYZ, x = 460 inches, y = 340 inches and ∠Z=47°. Find the area of ΔXYZ, to the nearest square inch.
Answer:
35.8
Step-by-step explanation:
Answer:
35.8
Step-by-step explanation:
Done the test
Find x Question is attached:
PLease I need the answer fast!!!
Answer:
Step-by-step explanation:
(-3)ˣ⁻² = -243
(-3)ˣ⁻² = (-3)⁵
x-2 = 5
x = 7
An arrow is shot up in the air from a height of 3 feet. The height of the arrow, in feet,can be modeled with the function h= -2t^2+12t+3where his the height in feet and is the time in seconds.Enter the average rate of change, in feet per second, from 1 second to 4 seconds
Answer:
The average rate of change is two feet per second.
Step-by-step explanation:
The height of an arrow shot up into the air from a height of three feet is given by the function:
[tex]h(t)=-2t^2+12t+3[/tex]
And we want to find its average rate of change from one second the four seconds.
The average rate of change is synonymous with the slope. Therefore, we can evaluate the height of the arrow after the first and fourth seconds, and find the slope between them.
After the first second, the height of the arrow is:
[tex]h(1)=-2(1)^2+12(1)+3=13[/tex]
And after the fourth second, the height of the arrow is:
[tex]h(4)=-2(4)^2+12(4)+3=19[/tex]
This yields two points: (1, 13) and (4, 19).
The slope between them is:
[tex]\displaystyle m=\frac{19-13}{4-1}=\frac{6}{3}=2[/tex]
Therefore, the average rate of change from one second to four seconds is two feet per second.
What's the area of a circle with diameter 18 units? Question 8 options: A) 9π units2 B) 81π units2 C) π units2 D) 18π units2
Answer:
B) 81π units²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Radius of a Circle Formula: r = d/2
r is radiusd is diameterArea of a Circle Formula: A = πr²
Step-by-step explanation:
Step 1: Define
Diameter d = 18 units
Step 2: Manipulate Variables
Radius r = 18 units/2 = 9 units
Step 3: Find Area
Substitute in r [Area of a Circle Formula]: A = π(9 units)²[Area] Evaluate exponents: A = π(81 units²)[Area] Multiply: A = 81π units²If f(x)=4x-1 , what is f(1) ??
Answer:
f(1) = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 1
f(1) is x = 1
Step 2: Evaluate
Substitute in x [Function]: f(1) = 4(1) - 1Multiply: f(1) = 4 - 1Subtract: f(1) = 3