Step-by-step explanation:
lets say the first is x and the second is y then we can say
x+y=55 ......1
x-y= -1 .......2
by adding 1 with 2 then
x+y+x-y=55+(-1)
==> 2x= 55-1=54
==> x= 54/2=28
if we put x=28 in the 2nd equation then
28-y= -1
==> y=29
Keith wants to give 1/2 an apple to each of his 6 friends. How many apples does he need?
Answer:
12 apples is the answer because 1/2 divided by 6 is 12
Step-by-step explanation:
The purpose of the deposit slip is to?
Answer:
DEPOSIT SLIPS OFFER PROTECTION TO BOTH THE BANK AND THE CUSTOM
Step-by-step explanation:
Benefits of Deposit Slips
Deposit slips offer protection to both the bank and the customer. Banks use them to help maintain a written ledger of funds deposited throughout the day and to ensure that no deposits are unaccounted for at the end of the business day.
Which of the following is a polynomial function in standard form with zeros at 0, 2, and 4? f(x) = x(x + 2)(x + 4) f(x) = x(x – 2)(x – 4) f(x) = x3 – 6x2 + 8x f(x) = x3 + 6x2 + 8x
Answer:
f(x) = x^3 - 6x^2+8x
Step-by-step explanation:
Remember while you are studying polynomial functions that zeros are just the solutions (and are the x-intercepts on the graph).
The question said the zeros were 0, 2 and 4, so if you were solving the equation you would get:
x=0 and x=2 and x=4
Just "undo" that last step of solving and you get:
x = 0 and
x - 4 = 0 and
x - 2 = 0
These are the factors of the function and they do look just like the second option of answers on your question. But that is in factored form and they asked you for standard form.
so f(x)=x(x-2)(x-4) is almost there, but you need to multiply all the factors back together.
(x - 2)(x - 4)
use FOIL or distributive property or area model(box) method to multiply and get
x^2 - 6x + 8
Then multiply in the x using distributive property.
f(x) = x(x^2-6x+8)
f(x) = x^3 - 6x^2 + 8x
That's the final answer (the third choice of answers on your post.) I think of this as a "working backwards" problem because you start with solutions (zeros means solutions!) and work backwards to find factors, then the function.
How many feet are represented by a 4 inch line if it is drawn to a scale of 1/2 inch equals 1 foot
Answer:
8 feet are represented by a 4-inch line.
Step-by-step explanation:
Scale:
1/2 (0.5) in. = 1ft
1/2x = 1
x = 2
4x in. = ? ft
4(2) in = ? ft
4 x 2 = 8
8 feet are represented by a 4-inch line.
hope this helps!! p.s. i really need brainliest :)
Acme Movers charges $45 plus $40 per hour to move household goods across town. Hank's Movers charges $55 per hour. For what lengths of time does it cost less to hire Hank's Movers?
The time when Hank's Movers will cost less is the point when the total charges is both Movers are Equal, the time is at 3 hours
Word ProblemGiven Data
Acme Movers charges $45Plus $40 per hour Hank's Movers charges $55 per hourLet x be the time takenFor Acme, the expression for the total charges is
Total = 45+40x ----------1
For Hank, the expression for the total charges is
Total = 55x ----------------2
Equating both expressions we have
45+40x = 55x
collect like terms
45 = 55x-40x
45 = 15x
divide both sides by 15
x = 45/15
x = 3 hours
Learn more about algebra here:
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What is the lateral surface area of the triangular prism?
Round to the hundredths place.
Answer:
The answer is
→ [tex]A_L = 60[/tex]
Step-by-step explanation:
a Base side is 4cm
b Base side is 5cm
c Base side is 11cm
h Height is 3cm
I ran into a problem when inputing the c Base side. It won't allow me to go over 8cm, for some reason. But hold on. I found a solution! :)
a Base side is 4cm
b Base side is 5cm
c Base side is 8cm ← (Don't mind this, I'll explain it below.)
h Height is 3cm
With c Base side being 8cm, the result is [tex]A_L = 51[/tex]. This is clearly incorrect and is not supposed to be like that. But hold on! Let me explain what I did to fix the problem. Since 8cm was the maximum amount, I did this to fix the problem:
51 + 3 = 54 (9cm)
51 + 6 = 57 (10cm)
51 + 9 = 60 (11cm)
Hope this is easy for you to understand...
Hope this helped! :^)
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- ✨7272033Alt✨
Submitted on 4/16/2022 at 10:20 PM
(To avoid plagarism, by users whom decide to copy.)
please answer correctly :)
Find the volume of the prism. An oblique rectangular prism with length of 4 meters and width 7 meters. The height of the prism is 8 and one-half meters.
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Length of rectangular prism = [tex]\sf\red{4m}[/tex]
[tex]\rightarrow[/tex] Width of rectangular prism = [tex]\sf\red{7m}[/tex]
[tex]\rightarrow[/tex] Height of rectangular prism = [tex]\sf\red{8.5m}[/tex]
[tex]\sf\large\underline{\star To \: Find:-}[/tex]
Volume of given Rectangular Prism.[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] We can find the volume of given rectangular prism by using the formula:
[tex]\sf\blue{Length × Width ×Height}[/tex]
So, let's begin:
[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{Length × Width ×Height}[/tex](putting the value of length, width and height from the above given)
[tex]\rightarrow[/tex][tex]\sf{=\:4× 7 ×8.5}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\:28×8.5}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\:238m^3}[/tex]
Therefore, volume of the given rectangular prism = [tex]\sf\purple{238m^3.}[/tex]
______________________________
Hope it helps you:)
which expression is equivalent to squareroot 36/25
The correct answer would be: 6/5
i’ve been trying to find the mean I think it’s 1
Answer: 3.8 vitamins
Step-by-step explanation:
First, we will find all the data values by looking at the graph.
1, 1, 3, 5, 9
Next, we will solve for the mean. This is where we add all the data values together, and divide by the number of values.
[tex]\displaystyle \frac{1+1+3+5+9}{5}[/tex]
[tex]\displaystyle \frac{19}{5}[/tex]
3.8
The mean is 3.8.
Answer:
3.8 vitamins
Step-by-step explanation:
Step 1: Determine the mean of the data
The mean of the data is also known as the average of the data. We get this by adding up all of the values and dividing it by the amount of values that we have.
In this example, we have two points on the 1 marker, one point on the 3 marker, one point on the 5 marker, and one point on the 9 marker.
We add up all of the values, 1 + 1 + 3 + 5 + 9 and we get 19. We then divide the number of values that we have which is 5. So we do 19/5 and we get 3.8 vitamins is the mean.
Answer: 3.8 vitamins
Jeremiah is starting a t-shirt making business. He needs to spend $1050 to buy the equipment to print on t-shirts. On each t-shirt he sells, he makes a $4 profit. How many t-shirts must Jeremiah sell to break even?
What is answer of D rounded to the nearest tenth
2) Which situation ONLY describes a purchase made with a credit card?
A) Natalie purchased a new computer with her card. The money came straight out of her checking account
B) Jackie loves using her card to make purchases because it is convenient to use, and she doesn't have to carry cash
David paid for dinner with his card. Each time he uses this card his checking account decreases by the purchase amount
D) Maggie took her mother to the movies and paid for it with her card. This charge appeared on a bill she received two weeks later,
Answer:
D is the correct answer. This charged appeared on a bill
How many TRIANGLES can be constructed with sides measuring 8 cm, 9 cm, and 11
cm ?
Answer:
1 -- Triangle
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
I need help with this anybody please ?
60
The answer is given in the above picture.
Hope u like it............
IM STUCK CAN SOMEBODY SOLVE THE EQUATION
Step 1: Figure out how many years 2020 is after 1998
2020 is 22 years after 1998, therefore we should plug in 22 for x.
Step 2: Plug in known values
The only unknown variables in this equation are S and x. We just found out what x is, which leaves S for us to figure out by solving.
S - 1.5(22) = 5.1
Step 3: Solve
Now, all that's left to do is solve for S.
S - 1.5(22) = 5.1
S - 33 = 5.1
S = 38.1
Answer: 38.1 billion dollars
Hope this helps!
want 75 total points? for 75 total you could also answer this other optional thing if you want
either way would appreciate some help with this question and/or this other one
https://brainly.com/question/27237838
We have to factorise?
Let's see
#1
-10a²c+20ac-5ac³-5ac³-10a²c+20acTake -5ac common
-5ac(c²+2a-4)#2
10c³d-8cd²+2cd2cd(5c²-4d+1)Done!
Answer:
Question d
[tex]\sf -10a^2c+20ac-5ac^3[/tex]
Factor out common term -5:
[tex]\sf \implies -5(2a^2c-4ac+ac^3)[/tex]
Factor our common term a:
[tex]\sf \implies -5a(2ac-4c+c^3)[/tex]
Factor out common term c:
[tex]\sf \implies -5ac(2a-4+c^2)[/tex]
Question f
[tex]\sf 10c^3d-8cd^2+2cd[/tex]
Factor out common term 2:
[tex]\sf \implies 2(5c^3d-4cd^2+cd)[/tex]
Factor out common term c:
[tex]\sf \implies 2c(5c^2d-4d^2+d)[/tex]
Factor out common term d:
[tex]\sf \implies 2cd(5c^2-4d+1)[/tex]
Kai randomly surveys eighth graders at his school and learns that 7 of 35 respondents own a video gaming system. Based on these data, how many of the 150 eighth-grade students in Kai's school would be expected to own a video gaming system? A 15 students B 25 students C 30 students D 50 students
The correct answer for this question is 30 students
Sure hope this helps you :)
The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 206 feet, what is the area of the garden in square feet?
Answer:
Area of rectangular garden is 2632 feet²Step-by-step explanation:
Given that length of Rectangular garden is 9 feet more than its width and perimeter of garden is 206 feet.
Let's assume length of Rectangular garden be x + 9 feet and width be x feet respectively. Firstly using the formula of Perimeter of rectangle we'll find the length and width of the garden.
[tex] \\ \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf {Perimeter _{(rectangle)} = 2(L + W)}}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\\[/tex]
[tex]\dashrightarrow \sf \: \: 2(x + 9 + x) = 206 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: 2x + 18 + 2x = 206 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: 4x + 18 = 206 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: 4x = 206 - 18 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: 4x = 188 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: x = \dfrac{188}{4 } \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: x = 47 \\ \\ [/tex]
Hence,
Length of garden = x + 9 = 47 + 9 = 56 feetWidth of garden = x = 47 feet[tex]\\[/tex]
Now,
[tex] \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf Area _{(rectangle)} = Length \times Width }}}} \\ \\ [/tex]
Substituting the required values:
[tex]\\[/tex]
[tex]\dashrightarrow \sf \: \: Area = 56 \times 47 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Area = 2632~ ft^2 \\ \\ [/tex]
Hence,
Area of rectangular garden is 2632 feet²Answer:
Area of rectangular garden is 2632 feet²
Step-by-step explanation:
Given:-
Length of Rectangular garden is 9 feet more than its width perimeterof garden is 206 feet.To find :-
The area of rectangular gardenSolution:-
Let the length of Rectangular garden be x + 9 feet and width be x feet .
We know that , the formula of Perimeter of rectangle is 2 ( L + B )
putting the known values to find the dimensions ,
2 ( L + B ) = 206 feet
2 ( x + 9 + x ) = 206 feet
4 x + 18 = 206 feet
x = 47 feet
putting the values of x in the equation ,
Length :- 56 feet
width :- 47 feet
Now , area of rectangular garden :- L×B
Area => 56×47 feet²
Area => 2632 feet²
Solve the following problem.
360 mL =____cups?
type your answer...
Answer:
1.52 cups
Step-by-step explanation:
360 ml / (236.588 ml/cup ) = 1.52 cups
Write the equation of the line with a slope of 6 and pass-through (-2,-4)
Answer:
y=6x+8
Step-by-step explanation:
y=mx+b
-4=6(-2)+b
-4=-12+b
8=b
What is the value of w?
Answer:
amgle sut is equal to angle suv bcz of sas criteria . so 10+w = 3w
on solving we get w= 5
A student performed the following steps to find the solution to the question x^2 - 2x - 15 = 0. Where did the student go wrong?
Step 1: Factor the polynomial into (x + 3) and (x - 5)
Step 2: x + 3 = 0 and x - 5 = 0
Step 3: x = 3 and x = -5
A. In step 2
B. The student did not make any mistakes, the solution is correct
C. In step 1
D. In step 3
Answer:
D In step 3
Step-by-step explanation:
Given polynomial: x² - 2x - 15 = 0
Step 1: factor the polynomial ⇒ (x + 3)(x - 5) = 0
Step 2: x + 3 = 0 and x - 5 = 0
Step 3: x = -3 and x = 5
x - 5 = 0
Add 5 to both sides:
⇒ x - 5 + 5 = 0 + 5
⇒ x = 5
Karen Gaines invested $10,000 in a money market account with an interest rate of 3.25% compounded semiannually. Three years later, Karen withdrew the full amount to put toward the down payment on a new house. How much did Karen withdraw from the account?
The total amount of money that Karen withdrew from her account three years later is $11,015.48.
How much did Karen withdraw?When an amount earns a compound interest seminannually, it means that the amount invested and interest accured increases in value twice a year.
The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$10,000 x (1 + 0.0325/2)^6 = $11,015.48
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Identify the GCF of 6x^2y^2 − 8xy^2 + 10xy
Answer:
The GCF for the numerical part is 2
Step-by-step explanation:
6x^2y^2-8xy^2+10xy
It contains both numbers and variables, there are two steps to find the GCF(HCF).
1). Find the GCF for the numerical part 6, -8,10
2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3
3).Multiply the values together.
Find the common factors for the numerical part:
6,-8,10
Factors of 6
6: 1,2,3,6
Factors of -8
-8: -8,-4,-2,-1,1,2,4,8
Factors of 10
10:1,2,5,10
Common factors of 6,-8, 10 are 1,2
The GCF Numerical=2
The GCF Variable= xy^2
Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2
I keep coming up with different answers please help me?
Answer:
the answer is 1600
Match the verbal expression (term) with its algebraic expression (definition).
Match Term Definition
Some number increased by two A) a ÷ 2
A variable decreased by two B) y2
Product of an unknown value and two C) 2z
Quotient of some number and two D) x − 2
An unknown value squared E) b + 2
Answer:
some number increased by two: (E) b+2
A variable decreased by two: (D) x-2
Product of an unknown value and two (C) 2z
Quotient: (A) a / 2
An unknown value squared: (B) y2
can some one help me do this question
just give me e and f
Answer:
I believe the answer should be 90:90:180. I may be wrong.
50+50+100+80+50+50+
50+20+50+60+100+40+
25+60+100+25+50+50+
20+40+40+60+100+100+
100+50+200+80+50+50
+40+25+50+50+50+50+
20+25+125+150+0.04=
Answer:
2485.04
Step-by-step explanation:
Count the number of 20s in the given expression: 3
⇒ 3 × 20 = 60
Count the number of 25s in the given expression: 4
⇒ 4 × 25 = 100
Count the number of 40s in the given expression: 4
⇒ 4 × 40 = 160
Count the number of 50s in the given expression: 15
⇒ 15 × 50 = 750
Count the number of 60s in the given expression: 3
⇒ 3 × 60 = 180
Count the number of 80s in the given expression: 2
⇒ 2 × 80 = 160
Count the number of 100s in the given expression: 6
⇒ 6 × 100 = 600
Finally, there is one each of 125, 150, 200 and 0.04
To find the total, sum the numbers:
Total = 60 + 100 + 160 + 750 + 180 + 160 + 600 + 125 + 150 + 200 + 0.04
= 2485.04
Answer:
2485.04
Step-by-step explanation:
I just used a caculcalculator
Use compatible numbers to estimate the quotient of 3,780 divided by 90. What will compatible numbers did you use? Will your estimate be an underestimate or overestimate? Explain why.
Answer:
3780/90
what number close to 37 is divisible by 9 ? 36 !!
3600/90=40 or 3690/90=41
3780/90=42
this an underestimate because the compatible numbers 3600 and 3690 are less than 3780
yall be safe
Our estimate is 38. This estimate is an overestimate because we rounded up both numbers, so we expect the actual quotient to be slightly smaller than our estimate.
What is compatible number?Compatible numbers are numbers that are simple to mentally work with and can be used to estimate or simplify a more complex calculation.
When performing addition, subtraction, multiplication, or division, for example, it is often helpful to choose numbers that are easy to manipulate in your head or by hand, such as multiples of 10, 100, or 1000.
To estimate the quotient of 3,780 divided by 90 using compatible numbers, we can round 3,780 to 3,800 (which is divisible by 100) and round 90 to 100. Then, we have:
3,800 ÷ 100 = 38
Thus, the estimate is 38. This estimate is an overestimation because we rounded both numbers, so we anticipate that the actual quotient will be slightly lower than our estimate.
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