Answer:
length = 12
width = 9
Step-by-step explanation:
We can use a system of linear equations to solve this problem. Lets make the variable L represent length and W represent width.
So we know that the length is 3 more than the width. An equation for this would be:
W = L - 3
We also know that the perimeter is 42 inches. The perimeter of a rectangle, using the variables L and W, is 2L + 2W, or 2(L + W). Using this, we can make the equation:
2(L + W) = 42
We can simplify the last equation by dividing both sides by 2:
L + W = 21
So now we have the two equations:
W = L - 3
L + W = 21
From here, there are multiple ways this question can be solved. I am going to use the substitution method here.
Knowing that W = L - 3, we can replace W in the second equation with L - 3.
L + L - 3 = 21
Add 3 to both sides.
2L = 24
Divide both sides by 2.
L = 12
Now we know that L = 12. Using this, we can replace L with 12 in the first equation to solve for W.
W = 12 - 3
W = 9
So:
L = length = 12
W = width = 9
I hope you find my answer helpful.
Help me I need help ASAP will
Give BRAINLIEST
Answer:
real numbers: all
rational: all but pi
Integers: 20,-9
Whole, 20,-9, radical 16
Natural: 20
Irrational: pi
Step-by-step explanation:
Daniel has 3/4 of a glass of water. He wants to share the water equally with his brother. How much water will each brother get?
The correct division expression is 3/4÷ ___
Each boy will get _______ of a glass of water
Answer:
0.375
Step-by-step explanation:
You have to just divide 3/4 divided by 2 = 0.375
Answer:
it is 3/4 divided by 2 and the last one is 3/8
Step-by-step explanation:
5x + 4x + 21 – 6 + 11x = 50.
Answer:
20x+15
Step-by-step explanation:
5x +4x=9x+11x=20x
21-6=15
20x+15
Find the difference between 28 and -12
Answer:
[tex]40[/tex]
Step-by-step explanation:
Set up an equation:
[tex]28-(-12)[/tex]
The negative [tex]12[/tex] becomes positive.
[tex]28+12[/tex]
Add:
[tex]40[/tex]
Mrs. Johnson deposited two checks, valued at $37.45 and $133.90, into her checking
account last week. Then she wrote three checks for $15.99. $42.49, and $53.85 out of
this account to pay her monthly bills. What is the total change of Mrs. Johnson's
checking account after all checks are processed?
Answer:
try 101.51
Step-by-step explanation:
Solve for y in the given equation 2y - 24 = 14y
Answer are
8y
-8y
-2
2
Answer:
y = -2
Step-by-step explanation:
First, we subtract 2y on both sides:
-24 = 12y
Then, we divide 12 on both sides:
y = -2
And we're done ^^ hope this helps!
[PLEASE ANSWER ASAP, DIFFICULT QUESTION] (SHOW WORK IF NECESSARY)
Answer:
14.99s-15g
Step-by-step explanation:
XY = 4x+1, YZ =15, and XZ = 7x+1. What is XY?
Answer:5(3)
Step-by-step explanation:
sue is thinking of a number 3/8 of 88 = 1/3 of her number
what number is she thinking of
is 4 to 7 the same as 7 to 4 and why or why not
Answer:
No
Step-by-step explanation:
4 to the 7th power is 4x4x4x4x4x4x4 (4 multiplied by itself 7 times) And 7 to the 4th power is 7x7x7x7 (7 multiplied by itself 4 times)
The chart show the masses and velocities of two colliding objects that stick together after a collision.
According to the law of conservation of momentum, what is the momentum of the object after the collision?
4,500 g • m/s
1,750 g • m/s
1,500 kg • m/s
3,000 kg • m/s
Answer:1,500 kg • m/s
Step-by-step explanation:
took the quiz
The momentum of the object after the collision is 1500 kg.(m/s).
What is Momentum?Momentum is the product of a particle's mass and velocity. As a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on the particle equals the time rate of change of momentum.
As per the given data:
[tex]m_A = 200 kg\\v_A = 15 m/s\\m_B = 150 kg\\v_B = -10 m/s[/tex]
Law of conservation of momentum:
Initial momentum = Final momentum
[tex]m_Av_A + m_bv_b[/tex] = Final momentum
Final momentum = 200(15) + 150(-10)
= 3000 - 1500
= 1500 kg.(m/s)
Hence, the momentum after collision is 1500 kg.(m/s).
To learn more on Momentum, click:
brainly.com/question/30677308
#SPJ7
What is the value of s in the equation 3 r equals 10 plus 5 s, when r equals 10?
Jemila has $10, $5, and $1 bills in her piggy bank. Their total value is $63. If she has two more $5 bills than $10 bills, and three more $1 bills than $5 bills, how many of each bill does Jemila have?
Answer:
She has 3 $10 bills, 5 $5 bills and 8 $1
3 times 10= $30
5 times 5 = $25
8 times 1 = $8
$30 + $25 + $8 = $63
A system of equations is a group of equations that can be solved simultaneously. Here we can find one that allows us to solve the given question.
We will see that: Jemila has 8 $1 bills, 5 $5 bills, and 3 $10 bills.
First, let's define the variables:
x = number of $1 bills in the piggy bank.y = number of $5 bills in the piggy bank.z = number of $10 bills in the piggy bank.Then the total amount of money in the piggy bank is:
$1*x + $5*y + $10*z
And we know that the total value is $63, then one equation is:
$1*x + $5*y + $10*z = $63
We also know that she has two more $5 bills than $10 bills, then:
y = z + 2
We also know that she has three more $1 bills than $5 bills, then:
x = y + 3
So our system of equations is:
$1*x + $5*y + $10*z = $63
y = z + 2
x = y + 3
To solve this, we need to isolate one of the variables in one of the equations. We can see that some variables are already isolated, like on the second or third equations.
For example, we can replace the second equation into the first and third ones:
$1*x + $5*y + $10*z = $63
x = y + 3
$1*x + $5*(z + 2) + $10*z = $63
x = (z + 2) + 3
Now we can simplify these to get:
$1*x + $15*z + $10 = $63
x = z + 5
Now we can replace the second equation on the first one:
$1*x + $15*z + $10 = $63
$1*(z + 5) + $15*z + $10 = $63
Finally, we can solve this for z.
$16*z + $5 + $10 = $63
$16*z = $63 - $15
$16*z = $48
z = $48/$16 = 3
z = 3
Now that we know the value of z, we can use it in the equations:
x = z + 5 = 3 + 5 = 8
y = z + 2 = 3 + 2 =5
Then the solution is:
x = 8y = 5z = 3Then Jemila has 8 $1 bills, 5 $5 bills, and 3 $10 bills.
If you want to learn more, you can read:
https://brainly.com/question/13997560
Write and solve an equation to find the number
six times the sum of a number and 15 is -42
Hey there! I'm happy to help!
Sum means to add. Let's call our number n.
n+15
We multiply this whole thing by 6.
6(n+15)
And this is -42.
6(n+15)=-42
We use distributive property to undo the parentheses.
6n+90=-42
We subtract 90 from both sides.
6n=-132
We divide both sides by 6.
n=-22.
Have a wonderful day! :D
aluminium + hydrochloric acid gives aluminium chloride + hydrogen
Answer:Yes
Step-by-step explanation:
Aluminum chloride plus hydrogen
add please -35.25+(8.5)
Answer:
Hello the answer is -23.75
plus +minus=Minus so we will minus it
Answer:
-26.75
Step-by-step explanation:
So what I did is I took away the minus sign and put it in front of 8.5 instead so the equation became: 35.25-8.5. Then, I subtracted which gave me 26.75 and then I added the minus sign back in which gave me -26.75.
D the midpoint of CE. E has coordinates (- 5, - 5) , and has coordinates (3, 1) . Find the coordinates of C??
Answer:
need a pic
Step-by-step explanation:
sorry
What is 1250 cm converted to meters?
Answer:
12.5
Step-by-step explanation:
:) hope this helps
Answer:
12.5 meters
Step-by-step explanation:
Divide it 1250 by 100
Help!
write the set of numbers in set-builder notation:
the set of all real numbers except 100
1. What is the slope of the line that passes through the given points?
(2, 12) and (6, 11)
Answer:
-1/4x
Step-by-step explanation:
11-12/6-2 = -1/4
Answer:
The whole quick check!
1. A -1/4
2. B. 0
3. D Y=2x+2
4. D y=9/10x-9/10; slope 9/10; y intercept - 9/10
5. A Its left at the bottom and goes right at the top
Step-by-step explanation:
I put all the letter and answers in case they change up the letters!
The value of the 4 in the number 124 is ___ the value of the 4 in the number 949 Please help!
Answer:
a TENTH OF THE VALUE
Step-by-step explanation:
I NEED THE ANSWER TO THIS QUESTION!!!!!! ITS A 6TH GRADE MATH!!! PLS!!!! THX!!!!! I WILL MARK THE BRAINLIEST!!!!!!!!’
Answer:
I think its $120
Step-by-step explanation:
there are 20 players each having 2 slices. Meaning that they'll need 40 pizzas. each box has 8 slices so theyll need 5 boxes for 40 pizzas. each box costs $24 so that will be $24 x 5 =$120
can someone help me solve the answer please?
Answer:
m∠MON = 99°
Step-by-step explanation:
A "straight angle" has a measure of 180°, so the two given angles will have that value as their sum.
m∠MON +m∠LOM = m∠LON
(8x -13°) +(7x -17°) = 180°
15x -30° = 180° . . . . collect terms
x -2° = 12° . . . . . . . . divide by 15
x = 14° . . . . . . . . . . . add 2°
Now we can find the measures of the angles.
m∠MON = 8x -13° = 8(14°) -13°
m∠MON = 99°
_____
Check
m∠LOM = 7x -17° = 7(14°) -17° = 81°
The sum of 81° and 99° is 180°, as it should be.
A linear pair of angles is formed when two lines intersect.
A linear pair of angles must add up to 180°.
Given:angle MON = 8x - 13°
angle LOM = 7x - 17°
To Find:The measure of angle MON .
Solution:angle MON + angle LOM = 180°
or, (8x - 13°) + (7x - 17°) = 180°
or, 15x - 30°= 180°
or, 15x = 180° + 30°
or, x = 210/15 = 14°
Answer:angle MON = 8x - 13°
By putting the value of x, we get
angle MON = 8(14) - 13°
angle MON = 99°
Check all equations that are equivalent.
EXPLAIN please
Step-by-step explanation:
A = ½ h (b₁ + b₂)
Multiply both sides by 2:
2A = h (b₁ + b₂)
Distribute the h:
2A = h b₁ + h b₂
So the second option is not correct.
Instead of distributing, divide by h:
2A/h = b₁ + b₂
Subtract b₂ from both sides:
b₁ = 2A/h − b₂
Third option is correct.
Next, use common denominator to combine.
b₁ = 2A/h − h b₂/h
b₁ = (2A − h b₂) / h
Factor out 2.
b₁ = 2 (A − ½ h b₂) / h
Fourth option is correct.
Maggie's brother is 7 years younger than four times her age. The sum of their ages is 48. How old is Maggie? Maggie is years old.
Answer:
11 years old
Step-by-step explanation:
Maggie's age is x
Maggie's brother = 4x - 7
The sum is 48
x + 4x - 7 = 48
5x - 7 = 48
5x = 55
x = 11
Find the coordinates of the missing if endpoint
if B is the midpoint of AC.
Given Endpoint: C(9,2)
Midpoint: B(6,4)
O A(7.5, 3)
O A(3,6)
O A(1.5, 1)
O A(12, 0)
Answer:
B. A(3, 6)Step-by-step explanation:
If B is the midpoint of AC, where the coordinate of the midpoint B is (6, 4) and endpoint C is (9,2). To get the other coordinates A, we will use the midpoint formula;
B(X,Y) = (x₁+x₂/2, y₁+y₂/2)
From the formula;
X = x₁+x₂/2 and Y = y₁+y₂/2
From the coordinaes given X = 6, Y = 4, x₂ = 9 and y₂ = 2
To get x₁:
From X = x₁+x₂/2
6 = x₁+9/2
cross multiply
12 = x₁+9
x₁ = 12-9
x₁ = 3
Similarly for y₁;
Y = y₁+y₂/2
4 = y₁+2/2
cross multiply
8 = y₁+2
y₁ = 8-2
y₁ = 6
Hence the coordinates of the missing endpoint A(x₁,y₁) is (3, 6)
Point V is on line segment \overline{UW}
UW
. Given UV=6,UV=6, UW=5x,UW=5x, and VW=4x-1,VW=4x−1, determine the numerical length of \overline{VW}.
VW
.
Answer: VW = 19
Step-by-step explanation: The segment UW has a point V between them, so:
UV + VW = UW
6 + 4x - 1 = 5x
4x + 5 = 5x
x = 5
The numerical length is
VW = 4x - 1
VW = 4(5) - 1
VW = 19
The measure, numerically, of VW is 19
Simplify the expression: (3 -- 10)2 + 4 : 2
Answer:
-12 Use PEMDAS
Step-by-step explanation:
Do the operation in the parenthesis first to get (-7)2 + 4:2. Multiply -7 by 2 to get -14 +4:2. Divide 4 by 2 to get -14 + 2. Add -14 and 2 to get -12.
What is the area of a right triangle with sides 6 inches, 8 inches, and 10 inches? 24 square inches 48 square inches 30 square inches 60 square inches
Answer:
should be 24 square inches
Step-by-step explanation:
I am literally so confused... please help!
Answer:
y=x*6
Step-by-step explanation:
it is y=x*6 because the y axis is every x's six times.
Answer:
y=6x
Step-by-step explanation:
Frist, you are going to use y=mx+b
M= the slope of the line.
B= the y-intercept( where the line crosses the y-axis).
Slope= [tex]\frac{Rise}{Run} =\frac{30}{5}[/tex] the you simplify it to [tex]\frac{6}{1}[/tex]= 6
Now, you plug in your equation for m.
y=6x+b
Y-Intercept= where the line crosses the y-axis.
In this case it is at 0. Now plug it in.
y=6x+0
Whenever your "b" is 0 you don't need to add +0 in your equation.
