Answers
Answer:
27
Step-by-step explanation:
-5a-b
-5(-6)-3
30-3
2
-5a - b
a = -6
b = 3
(-5 * -6) - 3
30 - 3 = 27
Related Questions
Can someone help out with this question
Answers
The area of a rectangle is 27 m”, and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the rectangle.
Answers
Answer:
[tex]L = 6[/tex] --- Length
[tex]W = 4.5[/tex] --- Width
Step-by-step explanation:
Given
Let: [tex]L = Length; W = Width[/tex]
[tex]Area = 27m^2[/tex]
[tex]L = 2W- 3m[/tex]
Required
Find the dimensions of the rectangle
Area (A) is calculated as:
[tex]A = L * W[/tex]
This gives:
[tex]27 = (2W - 3) * W[/tex]
Open bracket
[tex]27 = 2W^2 - 3W[/tex]
Express as a quadratic function
[tex]2W^2 - 3W - 27 = 0[/tex]
Expand
[tex]2W^2 + 6W - 9W - 27 = 0[/tex]
Factorize:
[tex]2W(W + 3) - 9(W + 3) = 0[/tex]
[tex](2W - 9)(W + 3) = 0[/tex]
This gives:
[tex]2W - 9 = 0\ or\ W + 3 = 0[/tex]
[tex]2W = 9 \ or\ W = -3[/tex]
Width can not be negative.
So:
[tex]2W = 9[/tex]
[tex]W = 4.5[/tex]
Recall that:
[tex]L = 2W- 3m[/tex]
[tex]L = 2 * 4.5 - 3[/tex]
[tex]L = 6[/tex]
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
Answers
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
Answers
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 units²Amanda plans to have 20 friends over to Watch NCAA Basketball on Saturday. She plans to serve pizza, wings, soda, and brownies. Each person eats 3 pieces of pizza, 16 ounces of soda, and 1 brownie. Each pizza has 10 slices. She buys 64 oz. bottles of soda. She bakes brownies in 8” X 12” pan and cuts them into 2” X 3” pieces.
How many pizzas does she need?
How many soda bottles does she need?
How many pans of brownies does she need?
If bottles of soda cost $1.69, pizzas cost $12.99, and brownie mix cost $2.39, write an expression to calculate the cost of Amanda’s NCAA tournament party.
Answers
All of the work:
How to solve the amount of pizza she needs:
20 x 3 = 60
60 divided by 10 = 6
How to solve the amount of soda bottled needed:
20 x 16 = 320
320 divided by 64 = 5
How to solve the number of pans she needs:
20(2 x 3) = 40 x 60
40 x 60 divided by 8 x 12 = 5
THE COST CAN BE FOUND BY MULTIPLYING THE NUMBER OF THE ITEM NEEDED AND THE PRICE FOR EACH OF THE ITEM.Number of pizza she needs:6 pizza, costs $77.94
Number of soda bottles she needs:5 bottles, costs $8.45
Number of pans she needs:5 pans, costs $11.95
Add 77.94, 8.45, and 11.95 and get 98.34
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 ?
Answers
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
F(x)=1/ x shift 9 units right and 4 units down
Answers
Answer:
g(x) = 1/(x-9) - 4
Step-by-step explanation:
f(x) shift 9 units right -> f(x-9) = 1/(x-9)
further shift 4 units down: 1/(x-9) - 4
Solve the compound inequality. Then graph the solution set.
s-2 <-10 or-3s < 6
Answers
Answer:
{s | s < -8 or s >= -2}
Step-by-step explanation:
In order to solve an inequality we simply have to isolate the variable by applying the opposite operations on each side.
s - 2 < -10 ... add 2 to both sides
s < -8
-3s <= 6 ... divide both sides by -3, since we are dividing a negative number you must flip the sign
x >= -2
Therefore the final answer would be {s | s < -8 or s >= -2} which is the 3rd graphed multiple choice answer as seen attached to this answer.
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
Answers
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
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.
Answers
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.
Divide simplify your answer,12/1/4 divide 1/8
Answers
Answer:
24
Step-by-step explanation:
Turn 12 ¼ into a improper fraction
49/4 ÷ ⅛
Make it into a multiplication problem and flip ⅛
49/4 × 8/1
Now you just have to multiply across and then divide because it makes a whole number
392/4
392 ÷ 4 = 98
Given: BC ≅ DA, ∠CBD ≅ ∠ADB
Prove: △BCD ≅ △DAB
Answers
Answer:
Step-by-step explanation:
Side-angle-side.
Factorise the following expressions :
Answers
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)
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?
Answers
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.
On Monday, 375 students went on a trip to the zoo. All 9 buses were filled and 6 students had to travel in cars. how many students were on each bus?
Answers
Answer:
41
Step-by-step explanation:
(375-6)÷9=369÷9=41
Answer: 41 students were on each bus.
Step-by-step explanation: Subtract the 6 students who traveled in cars from the total students (375 - 6 = 369). Then, divide the 369 students by the 9 buses and get your answer: 41 students per bus.
Help please!!!
Thanks
Answers
Answer:
25.6
Explanation:
t = 2 seconds
h = 8 + 40.8(2) - 16(2)^2
Solve for h by simplifying both sides of the equation, then isolating the variable.
h = 25.6
HELP ASAP I WILL GIVE BRAINLIST ( I HAVE ANSWERED #1 SO MOSTLY NEED THE ANSWER TO #2 )
Essential Questions: Lesson 06.05 Graphing Systems of Non–Linear Equations
How can graphing be applied to solving systems of nonlinear equations?
How can constraints be used to model a real-world situation?
Answers
Answer:
2) Constraints can be used to model different variables that cannot equal zero. They can be used in many different cases. For example, modeling money or a ball being dropped.
Step-by-step explanation:
2. Constraints also can be known as imitations are needed in model real-world situations. For example, when projecting budgets in business or also could be restrictions in time, space, or money.
Find the size of angle XYZ. Give your answer to 1 decimal place.
Answers
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.
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.
Answers
Answer:
50 miles per gallon, 50/1
Step-by-step explanation:
Find x Question is attached:
PLease I need the answer fast!!!
Answers
Answer:
Step-by-step explanation:
(-3)ˣ⁻² = -243
(-3)ˣ⁻² = (-3)⁵
x-2 = 5
x = 7
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?
Answers
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 = 7/4Question 5 Multiple Choice Worth 1 points)
(05.02 MC)
Find the measure of angle x in the figure below:
A - 35
B - 47
C - 51
D - 62
Answers
Answer:
C because to get y u do 180 - 57+61 than for x u do 180 - 62+67
Answer:
x=51
Step-by-step explanation:
y+57+61=180 linear pair
y=180-118=62
in triangle
x+y+67=180sum of interior angle of the triangle is 180
x+62+67=180
x=180-129=51
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.
Answers
Answer:
£32
Step-by-step explanation:
12 + 4(5) = 32
Stay safe! <3
help pls what is the area of this shape?
Answers
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!
Identify the slope and y intercept of the function y=4x-9
Answers
By ly - 4x = -9
A builder could get 9 sheets of Sheetrock for $20. If he bought 15 sheets, how much money would he have spent?
Answers
20/9 = $2.22 per sheet
$2.22*15 = $33.33
If f(x)=4x-1 , what is f(1) ??
Answers
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) = 3How do I tell my mom I have depression so she will stop hurting me with hurtful words-
Answers
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.
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?
Answers
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
Answers
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
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