Answer:
[tex]\frac{4a-2}{2a+1}[/tex]
Step-by-step explanation:
Factorise the numerator and denominator
8a² - 2 ← factor out 2 from each term
= 2(4a² - 1) ← 4a² - 1 is a difference of squares
= 2(2a - 1)(2a + 1)
4a² + 4a + 1 ← is a perfect square
= (2a + 1)²
Thus
[tex]\frac{8a^2-2}{4a^2+4a+1}[/tex]
= [tex]\frac{2(2a-1)(2a+1)}{(2a+1)(2a+1)}[/tex] ← cancel (2a + 1) on numerator/ denominator
= [tex]\frac{2(2a-1)}{2a+1}[/tex]
= [tex]\frac{4a-2}{2a+1}[/tex]
PLEASE PLEASE HELP!!!!WILL MARK BRAINLIEST
Write an expression for: The sum of 5 times a number and twice a number is 42.
Answer:
42
Step-by-step explanation:
5x5=40 ----> 40+2=42
Olivia is making chocolate chip pancakes for breakfast. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. When she checks her kitchen for ingredients she realizes she has 3 8 quart of milk and 18 8 cups of flour. Does she have the correct amount of milk and flour to make the pancakes from the recipe? Explain.
Given:
The recipe calls for 0.5 quart of milk and 2.5 cups of flour.
She has [tex]\dfrac{3}{8}[/tex] quart of milk and [tex]\dfrac{18}{8}[/tex] cups of flour.
To find:
Whether she have the correct amount of milk and flour to make the pancakes from the recipe.
Solution:
Required Milk = 0.5 quart
Milk she has = [tex]\dfrac{3}{8}=0.375[/tex] quarts
Clearly, 0.375 < 0.5.
Required Flour = 2.5 cups
Flour she has = [tex]\dfrac{18}{8}=2.25[/tex] cups
Clearly, 2.25 < 2.5
Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe
A cubic function is stretched by a factor of 0.4, opening downward and
shifted 10 units down and 5 units left.
Answer:
the answer is in the link
Step-by-step explanation:
https
bxaha zshkkkvxxxkvvvvwuqgceuuuegieg DONT KNO
Which of the following situations have a sum of zero? Select all that apply.
1. Shawna spends $20 on materials to make bracelets for her friends. She then earns $20 from selling the bracelets.
2. A diver dove down 20 1/4 feet under water and then descended 20 1/4 feet.
3. A golfer shot 2 over par (+2) on a hole. They then then shot 2 under par (−2) on the next hole.
4. You have $5.50 in your pocket and then you receive $5.50 for doing your chores.
Jackson Elementary School ordered 25 pizzas for an awards ceremony. At the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over. What is a reasonable estimate for the number of pizzas the students ate at the awards ceremony?
Answer: 9 pizzas
Step-by-step explanation:
From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.
A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:
= 25 - (8 1/4 + 7 3/4)
= 25 - 16
= 9 pizzas
PLZ HELP its a test re rake i really need to get it right or im gonna fail
Answer:
D
Step-by-step explanation:
if it was written in scientific notation, it would be 5*10^1
There shouldn't be decimals or part of numbers(6.0 is okay because 6.0 =6) in scientific notation
WILL MARK BRAINLIEST
linear equations and systems:
The HHS band sold 250 dinners at a barbeque a child's plate cost $3.50 and a adult plate cost $7.00 a total of $1347.50 was collected how many adult plates are served
Answer:
There were 135 adults that were served.
Step-by-step explanation:
Let's use c for child's cost and a for adult's cost.
The total amount is 1347.50. With this, we can create an equation to solve for adults.
a + c = 250
3.50c + 7a = 1347.50
Using system of equations, we can plug in values to get our answer.
c = 250 - a
3.50(250 - a) + 7a =
875 - 3.5a + 7a =
3.5a = 472.5
135 = a
115 = c (when you plug a into the equations)
There were 135 adults that were served.
Answer:
135
Step-by-step explanation:
x = number of child's plate
y= number of adult's plate
x+y=250 => 1
3.50x+7y=1347.50 => 2
Multiplying equation 1 by 3.50,
3.50x+3.50y=875 =>
Subtracting equation 3 from equation 2,
3.50x +7y - 3.50x - 3.50y = 1347.50 - 875
3.50y = 472.50
y= 135
Use the Distributive Property to simplify 17(2b + 3)
Answer:
34b+51
Step-by-step explanation:
When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...
17(2b+3)
34b+51
Because you can't tell what x is, this is the most simplifying you can do.
Hopefully this helped you out...have an amazing day :3
5a+12 = 9A-12
Can anybody help me ?
Answer:
a=6
Step-by-step explanation:
5x+12=9x-12
5x+12-12=9x-12-12
5x=9x-24
5x-9x=9x-24-9x
-4x=-24
-24/-4
x=6
Answer: 12 + 5a = 9a + -12
Reorder the terms:
12 + 5a = -12 + 9a
Solving
12 + 5a = -12 + 9a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-9a' to each side of the equation.
12 + 5a + -9a = -12 + 9a + -9a
Combine like terms: 5a + -9a = -4a
12 + -4a = -12 + 9a + -9a
Combine like terms: 9a + -9a = 0
12 + -4a = -12 + 0
12 + -4a = -12
Add '-12' to each side of the equation.
12 + -12 + -4a = -12 + -12
Combine like terms: 12 + -12 = 0
0 + -4a = -12 + -12
-4a = -12 + -12
Combine like terms: -12 + -12 = -24
-4a = -24
Divide each side by '-4'.
a = 6
Simplifying
a = 6
Step-by-step explanation: found it off of google
1.which of the following would save more fuel?
a.Replacing a compact car that gets 34 per gallon(mpg)with a hybrid that gets 54 mpg
b.Replacing a sport utility(SUV)that gets 18 mpg with a sedan that gets 28 mpg
c.Both changes would save the same amount of fuel.
2.Explain your reasoning for your choice.
9514 1404 393
Answer:
1. b
2. For each 1000 miles driven, (a) saves 10.9 gallons, while (b) saves 19.8 gallons
Step-by-step explanation:
The fuel savings will depend on the miles driven. If we use 1000 miles as the reference, the various vehicle fuel usages are ...
gallons = miles/(miles/gallon)
18 mpg: 1000/18 = 55.6 gallons
28 mpg: 1000/28 = 35.7 gallons
34 mpg: 1000/34 = 29.4 gallons
54 mpg: 1000/54 = 18.5 gallons
So, ...
replacing 34 mpg with 54 mpg saves 29.4 -18.5 = 10.9 gallons.
replacing 18 mpg with 28 mpg saves 55.6 -35.7 ≈ 19.8 gallons.
Replacing the SUV with a sedan saves more fuel, assuming all vehicles are driven the same distance.
__
The fuel use reduction from 18 mpg to 28 mpg is about 36%, whereas from 34 mpg to 54 mpg. the reduction is about 37%. The SUV replacement is a better choice because the smaller fraction of a much larger fuel use is still more savings than obtained by replacing the compact car.
The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x)=g(x) is true?
x=____
-1, it's fairly clear just from the table...
Answer:
-1
Step-by-step explanation:
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.
A y − 0.12y
B 0.06(0.88y)
C 1.06(0.88y)
D y − 0.88y + 0.06y
Answer:
The expression that can be used to determine the final cost of the game is
1.06(0.88 y) ⇒ (C)
Step-by-step explanation:
If the price of an item is discounted, that mean its new price will be less its initial priceThe taxes on item, makes its new price greater than the initial price because tax is addLet us solve the problem
∵ Ella purchased a game that was on sale for 12% off
→ That means the new price will (100% - 12%) of the initial price
∵ y represented the initial price of the game
→ Multiply y by (100% - 12%) to get the new price
∴ The new price = y (100% - 12%)
∴ The new price = y (88%)
→ Change 88% to normal number by divide it by 100
∴ The new price = y ([tex]\frac{88}{100}[/tex])
∴ The new price = 0.88 y
∵ The sales tax in her county is 6%
→ That means the final cost will be (100% + 6%) of 0.88 y
∴ The final cost = (100% + 6%) × (0.88 y)
∴ The final cost = 106% × (0.88 y)
→ Change 106% to normal number by divide it by 100
∴ The final cost = [tex]\frac{106}{100}[/tex] × (0.88 y)
∴ The final cost = 1.06(0.88 y)
The expression that can be used to determine the final cost of the game is 1.06(0.88 y)
Answer:
C. 1.06(0.88y)
Step-by-step explanation:
I’m not very great a math and I’m a bit rush so yeah
Answer:
y=1/10x -9
Step-by-step explanation:
slope intercept formula - y=mx+b
Can someone answer this for me?
A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase.
NEED HELP PLZZZ :( WILL GIVE BRAINIEST IF RIGHT
A $1.75x ≤ $25
B $1.75x ≥ $25
C $25x ≤ $1.75
D $25x ≥ $1.75
Answer:
A ) $1.75 x ≤ $25
Step-by-step explanation:
the cost of x boxes of crayons = 1.75x dollars
If there is a budget of only $ 25,
So, the cost of x boxes of crayons ≤ $25
Answer:
Since his budget is 25, it's less than or equal to ( ≤ 25). That means your answer would be A $1.75x ≤ $25 because 1.75 times the amount of crayons can't go over the $25 budget.
A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?
Answer:
speed of boat is 35 mph
speed of river is 5mph.
Step-by-step explanation:
Let the speed of boat be u mph
let the speed of river be v mph
When boat travel downstream
in that case flow of river will support the speed of boat hence
speed of river will be added to speed of boat
Thus,
speed of boat in downstream = speed of boat + speed of river = u + v
Given
the boat travels at 40 mph downstream
thus,
u + v = 40 -----1
When boat travel upstream
in that case flow of river will oppose the speed of boat hence
speed of river will be subtracted from speed of boat
Thus,
speed of boat in downstream = speed of boat -speed of river = u - v
Given
the boat travels at 30 mph upstream
thus,
u - v = 30 ----2
adding 1 + 2
we have
u + v = 40
+ u - v = 30
2u = 70
u = 70/2 = 35
Thus,
speed of boat is 35 mph
using u = 35 in u + v = 40
we have
35 + v = 40
v = 40 - 35 = 5
Thus, speed of river is 5mph.
Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Answer:
11 am
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once
Bus B takes 40 minutes to complete its route once.
We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route
30 = 3 × 10
40 = 4 × 10
= 3 × 4 × 10
= 120 minutes
120 minutes after 9 am is
60 minutes = 1 hour
60 minutes = 1 hour
= 2 hours.
9am + 2 hours
= 11 am.
Therefore, they be back at the bus depot together at 11 am
The table shows the number of cups of liquid and the number of smoothies made.
Cups of Liquid 2 6 8 12
Number of Smoothies 5 15 20 30How many smoothies can be made from 1 cup of liquid?
Select one:
5 cups
2.5 cups
2 cups
10 cups
Answer:
2.5 cups
Step-by-step explanation:
If m<5=63°, find the measure of <3.
Answer:
angle 3's measurement should be 117 degrees
hope this helps :)
The measure of angle 3 is 117 degrees.
Calculation of an angle:In terms of geometry, an angle refers to the figure i.e. credited by two rays that should be met out at a common endpoint. An angle should be presented by the symbol ∠.
Since the angle 5 is 63 degrees
and, the total of two angles is 180 degrees
So, the angle 3 is
= 180 - 63
= 117 degrees
hence, The measure of angle 3 is 117 degrees.
learn more about an angle here: https://brainly.com/question/11508323
ASAP HELP ASAP HELPPPP
Answer:
3 or 2 is the answer to the question
find the value of x (PLEASE HELP THIS IS a 40 point question)
Answer:
x=40°
Step-by-step explanation:
We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.
One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.
The sum of the measures of angles R, S, and T is 180°:
[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]
Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:
2x-10+x+2x-10 =180
Simplifying:
5x=180+20
Solving:
x=200/5
x=40°
Please help me solve this problem!! I WILL GIVE YOU BRAINLIEST!
(Algebra 1)
m≥5m-4
Answer:
m≤1
Step-by-step explanation:
Move the variable to the left,
m-5m≥-4
Collect like terms so you would have,
-4m≥-4
Then divide and switch the sign because you divided,
m≤1
If mZ3 = 74°, find each measure.
Answer:
m<1 = 74
m<2 = 74
m<4 = 74
Step-by-step explanation:
2. Find m 21.
(1 point)
339
579
21
O 147°
123°
90°
57°
Answer:
90°
Step-by-step explanation:
33+57=90
180-90=90
WILL GIVE BRAINLIEST
Which of the following is an equation of the tangent line to y=sin x +cos x at x=3.14/2
Answer:
y o = 2 sin ( π/6 ) = 2 * 1/2 = 1
x o = π / 6
y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;
m = √3
An equation of the tangent line is:
y - y o = m ( x - x o )
Answer:
y - 1 = √3 ( x - π/6 )
Step-by-step explanation
please give me brainliest hope it helps
4x - 5y = 10 solve for y=mx+b
Aline's
y -intercept
is 10, and its slope is 9
. What
is its equation in
slope -intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x +
ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!
Answer:
integers
Step-by-step explanation:
1890s was rounded to the nearest 10 what is the upper bound
Answer:
When rounding to the nearest ten, like we did with 1890 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Step-by-step explanation: