The sum of two numbers is 8 and the difference is 2
Answer: 2
x+x=8-2
2x=4
Divide:
4/2=2
x=2
Answer: 5 and 3
Step-by-step explanation:
From the question,
Let the first number be x
And the second be y
x + y= 8
x- y= 2
Add the equations
x + y + x - y = 8 + 2
2x= 10
x=5
Slot the value of x into any of the equations: x +y = 8
5+ y= 8
y= 8 - 5
y = 3
3. Convert 5.2 gallons to
cups
set up a ratio problem
5.2 gal = 1 gal/16 cups
5.2 * 16 = 83.2 cups is 5.2 gallons
A table is cut and placed along a wall. After its cut, the edge along the wall is 6 feet. What is the area of the table after it's cut in half?
Please help! I'm confused
Answer:
18 square feet
Step-by-step explanation:
the table was most likely 6 by 6 before getting cut. that is an area of 36 you could half that making 18 or make one of the 6s a 3 so it is 3 by 6 after the table is cut.
Write an expression to represent
22 less than x
Answer:
x-22
Step-by-step explanation:
The expression representing the value 22 less than x is x - 22.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given statement is that 22 is less than x. The expression will be written as below,
E = 22 less than x
E = x - 22
Therefore, the expression representing the value 22 less than x is x - 22.
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What is the sum of the series?
The sum of the series is -4.
Step-by-step explanation:
Step 1:
The symbol Σ is called sigma and it is used to sum all the values in it.
The lower limit is 3 while the upper limit is 6.
So for the equation 2k - 10, we substitute the values of k as 3, 4, 5, and 6 and then add all these values up.
Step 2:
Now we the values of k are substituted and values are determined.
When [tex]k = 3, 2k -10 = 2(3)-10 =6 -10 =-4,[/tex]
When [tex]k = 4, 2k -10 = 2(8)-10 =8 -10 =-2,[/tex]
When [tex]k = 5, 2k -10 = 2(5)-10 =10 -10 =0,[/tex]
When [tex]k = 6, 2k -10 = 2(6)-10 =12 -10 =2.[/tex]
Step 3:
Σ[tex](2k-10)[/tex] between k = 3 and k = 6 is equal to
[tex]-4 -2 +0 + 2 = -6 + 2 = -4.[/tex]
So the sum of the given series is -4.
2,156 to the nearest thousand
Answer:
2000
Step-by-step explanation:
2000 is closer than 3000.
15. MODELING REAL LIFE You use a computer
program to transform an emoji. How can
you transform the emoji as shown?
(Picture above)
Answer:
either rotate it right 90 degrees or one quarter rotation or rotate it left 270 degrees or three quarters rotation.
Step-by-step explanation: either one works. could you please give me crow, i rly need it i just need two more. it wold help so much.
a subtraction equation with one variable that has a solution of 2/3
Answer:
-4 +3x = -2
Step-by-step explanation:
the equation will give x = 2/3
3x = -2 +4
3x = 2
x = 2/3
brainliest please :)
When x is replaced by 2/3.in the equation, it satisfies the equation, making 2/3 the solution that satisfies the equation x - (2/3) =0
To create a subtraction equation with one variable that has a solution of 2/3 , follow these steps:
Step 1: Define a variable. Let's use x as the variable.
Step 2: Formulate the equation using subtraction. The equation should represent a situation where when 2/3 is subtracted from a number, the result is zero.
Mathematically, the equation can be written as:
x - (2/3) =0
Step 3: To verify that x - (2/3) is the solution, solve the equation by isolating the variable x.
x=2/3
This equation represents a subtraction scenario where 2/3 is subtracted from x resulting in zero. When x is replaced by 2/3.in the equation, it satisfies the equation, making 2/3 the solution that satisfies the equation x - (2/3) =0
Complete Question:
Write the equations described below.a subtraction equation with one variable that has a solution of 2/3.
Which of the following are equivalent to 104? Select all that apply.
0.0001
0.0001
104
1.1.1.1
10 10 10 10
10. 10.10.10
whats is the value of x?
Enter your answer in the box
x = __
Answer: X= 39
please mark brainliest
Step-by-step explanation:
102+39= 141
180-141 =39
it has to equal to 180 degrees
evaluate expression 1/2a-5b when a= -12 and b= -3
Answer: 9
Step-by-step explanation:
1/2 * -12= -6
5*-3= -15
-15- (-6)= -9
1/(Sec x Tanx ) = Sec x + tan x
Answer:
Step-by-step explanation:
to prove that 1/ (sec x - tan x) = sec x + tan x
from the right hand side sec x + tan x =
from trigonometry basics
sec x = 1/ cos x
tan x = sin x/ cos x
so, sec x + tan x = 1/ cosx + sinx/ cosx
finding the lcm
= (1+ sinx)/cos x
= (1 + sinx) cosx/ cos²x
= (1 + sinx) cosx/( 1- sinx) ( 1 + sinx)
( 1 + sinx) cancels the (1- sinx) at the denominator
so we have;
= cos x/ 1 -sinx
1/1/cosx - sinx/cosx
remember that 1/ cos x = sec x
and also sinx/cos x = tan x
so therefore we have 1/ sec x - tanx
since LHS = RHS then we can say that 1 / sec x - tan x = sec x + tan x.
Hong Kong’s tallest building international is 88 stories tall.
the former Sears Tower is eight stories taller than the Empire State Building. if all the buildings were stacked on top of each other the combine Heights would have 300 stories. how many stories does the Sears Tower have?
Final answer:
The Sears Tower has 110 stories. We found this by setting up an equation with the given information and solving for the number of stories in the Sears Tower.
Explanation:
To find out how many stories the Sears Tower has, we need to set up an equation using the information provided.
We know that Hong Kong's tallest building (International) is 88 stories tall, and the combined height of all the buildings stacked on top of each other is 300 stories. Let's assign the variable S to represent the number of stories in the Sears Tower and E to represent the number of stories in the Empire State Building. According to the question, the Sears Tower is eight stories taller than the Empire State Building, so we can express this relationship as S = E + 8.
Now, let's add up the stories of all three buildings: Hong Kong's International + Sears Tower + Empire State Building = 300. Substituting the given information and our variable S, we get the equation 88 + S + (S - 8) = 300.
Let's solve this equation:
Combine like terms: 88 + 2S - 8 = 300.Simplify: 2S + 80 = 300.Subtract 80 from both sides: 2S = 220.Divide both sides by 2: S = 110.Therefore, the Sears Tower has 110 stories.
Dalton loses weight at a rate of 4% per week. the following function represents his weight loss after x weeks. W(x)=2(1.04)^x. Write the expression that reveals his approximate rate of weight loss per day.
Answer (1.04x=2. X=30103/.017033= 17.673
Answer:
Step-by-step explanation:
(1.006)^7x
Solve for x (round to the nearest tenth)
Step-by-step explanation:
By Geometric mean property:
[tex]x = \sqrt{5 \times 3} \\ = \sqrt{15} \\ = 3.87298335 \\ \huge\orange {\fbox{\therefore \: x \approx \: 3.9}} [/tex]
answer needed asap please
Answer: [tex]Total\ number\ of\ people=70[/tex]
Step-by-step explanation:
For this exercise let "m" represents the total number of men at the meeting.
You know that the total number of people at the meeting represents de 100% of the people there.
According to the information given in the exercise, the number of men in the meeting representes the 40% of the people. So:
[tex]100\%-40\%=60\%[/tex]
As you can notice, 60% of the perople are women.
Then, knowing that the number of women is 42, you can set up the following proportion:
[tex]\frac{42}{60}=\frac{m}{40}[/tex]
Solve for "m" in orde to find its value:
[tex](40)(\frac{42}{60})=m\\\\m=28[/tex]
Therefore, the total number of people at the meeting is:
[tex]Total\ number\ of\ people=42+28=70[/tex]
Simplify the expression.
38
[tex]\text{Hey there!}[/tex]
[tex]\mathsf{If\ you're\ trying\ to\ find\ out\ what\ gives\ you\ 38\ then\ let's solve\ for\ it.}[/tex]
[tex]\large\text{38\ has\ FOUR \ factors: \ 1 , 2 , 19 , 28}[/tex]
[tex]\mathsf{So, now\ that\ we\ have\ the\ factors\ let's\ answer\ the\ question!}[/tex]
[tex]\bullet\ \ \mathsf{\bf{\underline{2\times19}}}\mathsf{\ =38 }[/tex] [tex]\checkmark[/tex]
[tex]\bullet\ \ \mathsf{\bf{\underline{1\times38}}}\mathsf{\ \ =30}[/tex] [tex]\checkmark[/tex]
[tex]\bullet \ \mathsf{\bf{\underline{19\times2}}}\mathsf{\ = 38}[/tex] [tex]\checkmark[/tex]
[tex]\bullet \ \mathsf{\bf{\underline{38\times1}}}\mathsf{ \ = 38}[/tex] [tex]\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}\huge\text{\dag}[/tex]
9. If the temperature changes by 100 K, by how much does it change in °C?
2730C
37°C
100°C
by
0°C
Answer:
100 degrees C.
Step-by-step explanation:
100 degrees C
The 'size' of the unit is the same.
0 degrees K to 100 degrees K is equivalent to:
-273 degrees C to - 173 degrees C.
1. Three more than the product of a number and 4 is 15.
Find the number
Answer:
3
Step-by-step explanation:
Three more than the product of a number and 4 is 15.
3 + (x * 4) = 15
Multiply x by 4
3 + 4x = 15
Subtract 3 from both sides of the equation
4x = 12
Divide both sides of the equation by 4
x = 3
3
Hope this helps :)
Answer:
3
Step-by-step explanation:
Let the number be A
3 more than the product of A and 4 is 15
That’s
3 + (A x 4 ) = 15
3 + 4A = 15
Subtract 3 from both sides
3 - 3 + 4A = 15 - 3
4A = 12
Divide both sides by 4
A = 12/4
A = 3
sophia pays a $19.99 membership fee for an online music store. If Sophia purchases n songs for $0.99 each, write an expression for the total cost.
A
0.99n−19.99
B
0.99n+19.99
C
0.99n×19.99
D
0.99n19.99
Part B
If she buys two songs from a new album, what is the total cost?
help me asap
Answer:
Step-by-step explanation: B
In two to three sentences, explain how you would factor the following expression:
45y^2z+36yz^2+18yz
Answer:
9yz(5y+4z+2)
Step-by-step explanation:
I would first factor the whole polynomial by 9 since that's the LCM of the coefficients, giving us 9(5y^2z+4yz^2+2yz)
Then I would factor out yz as that's the LCM of the terms, giving us:
9yz(5y+4z+2)
And that's our answer.
Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andre's notebooks contain?
i. y = 60 ÷5
ii.y = 5 x 60
iii. y/5 =60
iv. 5y = 60
Answer:
Step-by-step explanation:
i. y = 60 ÷5
The correct expression would be 5y = 60, so 12 sheets of paper do Andre's notebooks contain.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Each notebook contains 60 sheets of paper. Andre has 5 notebooks.
We need to find the number of sheets of paper do Andre's notebooks contain.
Therefore, using unitary method
60 sheets of paper = 5 notebooks.
y sheets of paper = 5y/ 60 notebooks.
= 60/5 = 12
The answer is 5y = 60
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Mary bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $350 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 6% per year. The total finance charges for one year were $398. How much did each computer cost before finance charges?
Answer:
Laptop= $3250 Desktop = $2900
Step-by-step explanation:
L= D+350
7%D+6%I = 398
3x + y = -3
How do I solve this equation by graphing?
Answer:
Step-by-step explanation:
That means y= -3x -3 in the y=mx+b form. It means that you will draw a dot at the point (0,-3). Then, M= #of points that you will go up or down (positive=up, negative= down). So, M= -3, negative, so go 3 points down to (0,-6) and go one point to the right. It will give you a point at (0,-3) and at (1,-6). Now, just draw the line and it s=is all done :)
how do I solve system of equations elimination method
Answer:
Step-by-step explanation:
Let's say we have 2x-y=4, and 4x-3=5y. So, elimination is basically what the name is. You eliminate one variable by subtracting and then plug in that variable to find the other one. So,
4x-3=5y
2x-y=4
Multiply 2x-y=4 by 2, to make it equal to the x value in the top.
4x-3=5y
-
4x-2y=8
Now, you can subtract the equations. You Eliminate the 4x, then you get
-3-2y=5y-8
Then you solve for y
y=7/5
then you plug y into the equation
4x-3 = (7/5)5
4x-3=7
4x=10
x=5/2
And you have your solution ----> (5/2, 7/5) is where the lines intersect.
Hope that helps!
How to do this problem -40=12x+8
First subtract 8 from 8 and -40 because it is even.
Then divide -48 by 12, which equals -4.
Hope this helped! If it didn't, tell me what went wrong or confused you.
Answer:
The answer is x=-4
Step-by-step explanation:
-40=12x+8
-8 -8
-48=12x
-48/12=x
-4=x
How do you know that the value of D will decrease when the value of N increases?
Hello! Remember you have to write complete questions in order to find good and exact answers. Here I'll assume that you need a relationship between D and N. So we know some facts:
As N increases, then D decreasesSo this is an inverse relationship. We can write this as:
[tex]D\propto \frac{1}{N} \\ \\ \\ \boxed{D=k\frac{1}{N}} \\ \\ \\ \text{Where k is a positive constant}[/tex]
Since N lies in the denominator, as it increases then D will decrease. So this is a correct relationship
please help answer this
Answer: x=46
Step-by-step explanation:
Answer:
46 degrees
Step-by-step explanation:
There are 180 degrees in a straight angle. Take 134 and subtract it from 180 to get your answer of 46 degrees.
Is 2/6 equivalent to 20%
Answer:
2/6 is NOT equivalent to 20%
Step-by-step explanation:
2/6 is NOT equivalent to 20%
Reason :
To convert 2/6 to percentage
Multiply 2/6 by 100
That is ,
= 2/6 × 100 %
= 1/3 × 100 %
= 100/3 %
= 33.33%
33.33% is not same as 20%. Therefore 2/6 is not equivalent to 20%
I hope this was helpful, please mark as brainliest
What is the sum of the first five positive integers?
Answer:
15
Step-by-step explanation:
1+2+3+4+5 = 15