Answer: [tex]y^2-100.[/tex]
Step-by-step explanation:
if we have a square with sides 'y' units,
then, its breadth = length = y
If we add 10 to one side it will become (y+10) (longer one) and subtract 10 from another, then it will become (y-10) (shorter one).
Area of rectangle = breadth x length
So, area of rectangle [tex]= (y+10)(y-10)[/tex]
[tex]= y^2-10^2=y^2-100\ \ \ \ \ [(a-b)(a+b)=a^2-b^2][/tex]
Hence, the new area as a polynomial = [tex]y^2-100.[/tex]
the functions f(x), g(x), and h(x), find the average rate of change over the interval -3≤x≤5
The points in each table lie on a line. Find the slope of the line.
O 1/2
O 1
O 2
O None of the above
Answer:
1
Step-by-step explanation:
Given table:
x -1 1 3 5
y -2 0 2 4
Unknown:
Slope of the line = ?
Solution:
Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
let us take;
x₁ = -1 x₂ = 3
y₁ = -2 y₂ = 2
Insert the parameters and solve;
Slope = [tex]\frac{2 - (-2)}{3- (-1)}[/tex] = [tex]\frac{4}{4}[/tex] = 1
The slope of the line is 1
230% of what number is 92
Answer:
250
Step-by-step explanation:
Following shows the steps on how to derive this formula
Step 1: If 92% of a number is 230, then what is 100% of that number? Setup the equation.
230
92% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
92Y = 230 x 100
92Y = 23000
Y = 23000
100 = 250
What is
230
% of
92
? = 250
Answer:
250
Explanation:
230 x 100 ÷ 92 =250
Solve for b. ab + c = d
b = (d-c)/a
b = a + c/d
b = a/(c-d)
Answer:
1st Option
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
ab + c = d
Step 2: Solve for b
Subtract c on both sides: ab = d - cDivide both sides by a: b = (d - c)/aAnswer:
B = (d-c)/a
Step-by-step explanation:
A 150-foot fence encloses a garden.What is the length of each side of the garden.
Answer:
15 ft 45 ft 30 ft 60 ft
Step-by-step explanation:
To avoid a service fee, your checking account balance must be at least $400 at the end of each month. Your current balance is $432.993. You use your debit card to spend $119.86. What possible amounts can you deposit into your account by the end of the month to avoid paying the service fee?
Given :
To avoid a service fee, your checking account balance must be at least $400 at the end of each month.
Your current balance is $432.993.
You use your debit card to spend $119.86.
To Find :
What possible amounts can you deposit into your account by the end of the month to avoid paying the service fee.
Solution :
Amount left in the account :
A = $432.993 - $119.86
A = $313.133
Let, amount added is x.
So,
A + x ≥ 400
x + 313.133 ≥ 400
x ≥ 400 - 313.133
x ≥ 86.867
Therefore, possible amount needed is greater than or equal to $86.867 .
Hence, this is the required solution.
To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume. How many millilitres of water should she add to make 637 mL of lemonade?
Answer:
546 mL of water
Step-by-step explanation:
To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume.
Let the amount of water is 6x and that of lemon juice is x.
ATQ,
6x+x = 637
7x = 637
x = 91
Amount of lemon juice = 91 mL
Amount of water = 6x = 6(91) = 546 mL
So, 546 mL of water she should add to make 637 mL of lemonade.
A bike rental company rents beach bikes. They charge an initial fee plus $3 for each hour the bike is
rented. Charles rented a bike for 4 hours and was charged $22. Let x represent the number of hours
and y represent the total cost of the rental. If another customer rents a bike for 8 hours, how much
should he expect to pay?
Answer:
34
Step-by-step explanation:
lifa a tarinici de alallqule sie~$1s de 0,sile s umamos $24 ($3 por cada hora) da 34
HELP ASP ON KITCHEN MATH !!!
Shortbread Cookies Makes about 3 dozen cookies 3/4 shortening 1/2 t salt 9/4 granulated sugar I 1/2 t baking soda 1/4 eggs 2 c. cake flour 1/2 vanilla extract food coloring 1/4 butter flavoring
How make 6 dozens cookies
Answer:
6 Dozen
Shortening: 6/4
Granulated Sugar: 18/4
Beaten Eggs: 2/4
Vanilla Extract: 2/2
Butter Flavoring: 2/4
Salt: 2/2
Baking Soda: 6/2
Cake Flour: 4
Food Coloring x 2
Step-by-step explanation:
6 ÷ 3 = 2
3 Dozen
Shortening: 3/4
Granulated Sugar: 9/4
Beaten Eggs: 1/4
Vanilla Extract:1/2
Butter Flavoring: 1/4
Salt: 1/2
Baking Soda: 3/2
Cake Flour: 2
Food Coloring
--------------------------------------------------
Shortening: 3/4 x 2
Granulated Sugar: 9/4 x 2
Beaten Eggs: 1/4 x 2
Vanilla Extract: 1/2 x 2
Butter Flavoring: 1/4 x 2
Salt: 1/2 x 2
Baking Soda: 3/2 x 2
Cake Flour: 2 x 2
Food Coloring x 2
--------------------------------------------------
6 Dozen
Shortening: 6/4
Granulated Sugar: 18/4
Beaten Eggs: 2/4
Vanilla Extract: 2/2
Butter Flavoring: 2/4
Salt: 2/2
Baking Soda: 6/2
Cake Flour: 4
Food Coloring x 2
6 Dozen cookies make with;
The amount of Shortening = 3/2
The amount of Salt = 2/2 = 1
The amount of Granulated Sugar = 9/2
The amount of Baking Soda = 6/2 = 3
The amount of Beaten Eggs = 1/2
The amount of Vanilla Extract = 1
The amount of Cake Flour = 4
The amount of Food Coloring = 1
The amount of Butter Flavoring = 1/2
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
For, 3 Dozen cookies we use;
The amount of Shortening = 3/4
The amount of Salt = 1/2
The amount of Granulated Sugar = 9/4
The amount of Beaten Eggs = 1/4
The amount of Vanilla Extract = 1/2
The amount of Butter Flavoring = 1/4
The amount of Baking Soda = 3/2
The amount of Cake Flour = 2
The amount of Food Coloring = 1/2
Since, We have to calculate all amount of things for 6 dozen cookies.
And, 3 x 2 = 6
Hence, 6 Dozen cookies make with;
The amount of Shortening = 3/4 x 2 = 3/2
The amount of Granulated Sugar = 9/4 x 2 = 9/2
The amount of Beaten Eggs = 1/4 x 2 = 1/2
The amount of Vanilla Extract = 1/2 x 2 = 1
The amount of Butter Flavoring = 1/4 x 2 = 1/2
The amount of Salt = 1/2 x 2 = 1
The amount of Baking Soda = 3/2 x 2 = 3
The amount of Cake Flour = 2 x 2 = 4
The amount of Food Coloring = 1/ 2 x 2 = 1
So, 6 Dozen cookies make with;
The amount of Shortening = 3/2
The amount of Salt = 2/2 = 1
The amount of Granulated Sugar = 9/2
The amount of Baking Soda = 6/2 = 3
The amount of Beaten Eggs = 1/2
The amount of Vanilla Extract = 1
The amount of Cake Flour = 4
The amount of Food Coloring = 1
The amount of Butter Flavoring = 1/2
Learn more about the product visit:
https://brainly.com/question/13934852
#SPJ5
974 divided 0.379=?
round the answer to the nearest whole number
Answer:
2570.
Step-by-step explanation:
974 / 0.379
= 2569.92084433
= 2570 (rounded to the nearest whole number)
Hope this helped!
Answer:
947÷0.379=2.498 to the nearest whole number is 2
Step-by-step explanation:
since number from 0-4 will round down and the number at the back of point is needed to round to the neareat whole number
I WILL GIVE BRAINLEST
graph an ordered pair that is a solution
to the inequality.
4x + 3y <12
Step-by-step explanation:
( 0,-4) that the answer
My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild. Determine all possibilities for the ages of my grandparents’ grandchildren.
Answer:
lets say they are a,b,c,d
a*b*c*d=67184
a<10
a=d-30
also bear in mind that b and c are in between
the rest is just trial and error as long as you satisfy all those equations above
Step-by-step explanation:
Based on the work shown on the left, what is the simplest form of StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot ?
Answer:
It's A
Step-by-step explanation:
The simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation or expression is √(250c³/9d⁶)
StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot
This can be written as √250c³/√9d⁶
The numerator 250c³ can be written as twenty five times of c square times of ten times of c 25c²×10c and denominator can written as 3d³
√ 25c²×10c/3d³
The square root of 25 is 5
5c√ 10c/3d³
Hence, the simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
helppp messsss please
A cheesecake recipe says, "Mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese are there for every ounce of sugar?_ How many ounces of sugar is that for every ounce of cream cheese?
Solve the equation for x.
Answer:
x = 5
Step-by-step explanation:
4(x-1)/8 = 2(x+2)/7
7*4(x-1) = 8*2(x+2)
28(x-1) = 16(x+2)
28*x + 28*-1 = 16*x + 16*2
28x - 28 = 16x + 32
28x - 16x = 32 + 28
12x = 60
x = 60/12
x = 5
Check:
4(5-1)/8 = 2(5+2)/7
4*4/8 = 2*7/7
16/8 = 2*1 = 2
In row 2, write the equation of a quadratic function that satisfies f(0) = 2.
For u ppl doing the challenges here u go!
Answer:
ily <3
Step-by-step explanation:
1 pol
2. *
2. Jerome bought 6 pounds of apples for $0.99 per pound. How
much did he pay for the apples?
A $6.99
B. $5.94
C. $5.01
D. $8.15
A
B
С
D
Answer:
B. $5.94
Step-by-step explanation:
Subtract the following using horizontal method
i.)2x from-5x
ii.)-5a from 18a
Answer:
[tex] \huge{ \boxed{ \text{ i. \: \ - 7x}}}[/tex]
[tex] \huge{ \boxed{ \text{ii. \: 23a}}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
☄ Question : Subtract the following using horizontal method :
i. 2x from -5x-5a from -18a✎ Step - by - step Explanation :
2x from -5xIn horizontal method , terms are arranged in same row and put sign for subtraction and remove the brackets and then simplify.
[tex] \longrightarrow{ \sf{ - 5x - (2x)}}[/tex]
[tex] \longrightarrow{ \sf{ - 5x - 2x}}[/tex]
Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.
[tex] \longrightarrow{ \boxed{\sf{ - 7x}}}[/tex]
Likewise , Let's do next too:
-5a from 18 a[tex] \dashrightarrow{ \sf{ 18a - ( - 5a)}}[/tex]
Remember : [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
[tex] \dashrightarrow{ \sf{ 18a + 5a}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ 23a}}}[/tex]
And we're done!
Hope I helped!
Have a wonderful time ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
i)-7x ii)23a
Step-by-step explanation:
i)U well get -5x-2x, after solving, u well get -7x since all is negetive. ii)U well get 18a-(-5a) which u well get 18a+5a whict is equal to 23a
Jasper's care, solve the problem if you dare:
List in order from least to greatest:
-8, 0, -1, -3, 1, 2, -10, -4
Answer:
-10,-8,-4,-3,-1,0,1,2
Step-by-step explanation:
i did it
helppp i need answer now will give points
Answer:
f(g(3)) = 3
Step-by-step explanation:
We are told to solve for f(g(3)). This is also saying f of g of 3.
To find f(g(3)), we need to plug 3 in for x in g(x), since it says g(3).
g(x) = 3(3) - 4
Solve.
= 9 - 4
g(x) = 5
Now, we plug that into f(x), because g(x) was placed inside f and replaces the x variable of f(x).
f(5) = 2(5) - 7
Solve.
= 10 - 7
f(5) = 3.
f(g(3)) = 3
#teamtrees #WAP (Water And Plant)
Where is the angle of depression?
Where is the angle of elevation?
How far apart are the two buildings?
What’s the height of the taller building?
Answer:
angle of elevation is at top and depresseion on bottom.
Step-by-step explanation:
far apart and height is calculated with more information
Precent of _____ -The ratio of a amount of decrease to the previous amount expressed as a percent
Answer:
Percent of decrease - the ratio of an amount of decrease to the previous amount expressed as a percent
Step-by-step explanation:
Color of socks white black blue brown
Number of socks 9 2 6 5
From the table, the ratio of white socks to brown socks is 9:5
Select two ratios equivalent to the ratio of white socks to brown socks.
A: 36:21
B : 27:15
C: 5:28
D: 36:20
Answer:
b or d
Step-by-step explanation:
The price of a technology stock has dropped to $9.61 today. Yesterday's price was $9.74. Find the percentage decrease.
Round your answer to the nearest tenth of a percent.
HELP I NEED THIS
If you can write the explanation out and how you got it!!!!!!!!
Answer:
1.33%
Step-by-step explanation:
$9.74 - $9.61 = $0.13
(0.13 divided by $9.74) times 100
=1.33%
Why would a mutual fund, a collection of stocks, bonds, and other securities, have less risk than investing in stocks alone?
Answer:
Mutual funds, collections of stocks, bonds, and other securities, have less risk than investing in stocks alone because of the risk associated with the ever-changing market.
Step-by-step explanation:
got 100% on edge
If m <2 = 120', what is m<7?
m<7=120'
Step-by-step explanation:
m<2 = m<6 because m and l are parallel and m<6 =m<7 because they are vertically opposite angles (v.o.a)
Answer:
m<7=120
Step-by-step explanation:
2 and 7 are alternate exterior angles and because l and m are parallel lines then m<2=m<7
Matt has started a car washing business to save
money for college. Each week, he washes 3 more
cars than he did the week before. Matt started by
washing 6 cars his first week in business.
Write a explicit formula that can be used to find the number of
cars he washed on any given week.
A = 6+3n
B = 6(3n-1)
C = 6+3(n-1)
D = 3+6(n-1)
Answer:
A) =6+3n
Step-by-step explanation:
What number is 1.6 more than 3.7
Answer: 5.3
Step-by-step explanation: To solve this question, all you need to do is add the numbers together. 1.6+3.7=5.3
Answer:
the answer is5.3
Step-by-step explanation:
3.7+1.6=5.3