Answer:
A and B are the correct answers
The equation that represent the given situation is 2 ( x +y) = 60 and 2x +2y = 60, the correct option is A, and B.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
A rectangle is a polygon with four sides, the opposite sides of a rectangle is parallel and equal.
The perimeter of a rectangular room is 60 feet.
The perimeter of a rectangle is given by,
P = 2 ( Length + Breadth)
Let x be the width of the room (in feet).
Let y be the length of the room (in feet).
Substituting the values in the formula to get the equation.
60 = 2 ( x +y)
2 ( x +y) = 60 ---------- (1)
2x +2y = 60 ------------(2)
Therefore, the equations that could model this is situation 2 ( x +y) = 60 and 2x +2y = 60.
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The lines represented by the equations 25y
10x = 200 and 5y + 2x = 40 are
neither parallel nor perpendicular
perpendicular
the same line
parallel
Answer:
C: The Same Line
Step-by-step explanation:
So to start we need to first know what makes lines parallel or perpendicular. Two parallel lines will have the same slope, but different y-intercepts because we know they never cross. Two perpendicular lines will have opposite-reciprocal slopes, because we know that they intersect at a right angle.
Then, we need to know the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. We can see that neither equation is in this form, so we have to convert it.
Starting with the first, (I assume despite the typo) we have [tex]25y+10x= 200[/tex]
So we need to isolate the [tex]y[/tex] from everything else.
First, we'll subtract [tex]10x[/tex] from both sides of the equal sign to get [tex]25y=-10x+200[/tex]
Second, we'll divide both sides by [tex]25[/tex] to get [tex]y=-\frac{2}{5} x+8[/tex]
This means that [tex]-\frac{2}{5}[/tex] is the slope and [tex]8[/tex] is the y-intercept of the first line.
Now onto the second we have [tex]5y+2x=40[/tex] so we're going to follow the same steps to isolate [tex]y[/tex].
First, we'll subtract [tex]2x[/tex] from both sides to get [tex]5y=-2x+40[/tex]
Second, we'll divide both sides by [tex]5[/tex] to get [tex]y=-\frac{2}{5}x +8[/tex]
This means that [tex]-\frac{2}{5}[/tex] is the slope and [tex]8[/tex] is the y-intercept of the second line.
Since both of the lines have a slope [tex]-\frac{2}{5}[/tex] we know that they are parallel, so we need to check to check if they're the same by looking at the y-intercept. We can see that [tex]8[/tex] is the y-intercept of both lines, so they would be the same line.
simplify 1/2 +1/4 - 1/6
Answer:
look for the LCM of all the denominators, devide the denominators by the LCM and add the numerators( don't forget the signs ), then add and subtract your answers ( by this time the LCM becomes the denominator and the answer from th subtraction and addition of the numerators becomes the present numerator ), then reduce to lowest term the answer gotten
y=-6x^2+100x-180
what are the zeros in this function? what do the zeros mean in context
Answer:
If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
Step-by-step explanation:
Select all the expressions that equal -2 + 5.
Answer:
The answers are A, C and D
I’ll Give BRAINLIEST Just Help Now
Answer:
I cant see the thing just dont the answers down pls i can help just cant see the pic
Step-by-step explanation:
Answer: x= 60 degrees, y=25 degrees
ABC is equilateral so all angles are 60.
Therfore, we know that angle bcd must be 120 degrees.
Triangles are 180
120+35= 155
180-155= 25
hope this helps!!
use matrices to determine the coordinates of the vertices of the translated figure. Triangle DEF with vertex matrix [7 -9 -1 -7 -3 -7] translated 1 unites left and 4 units down.
Answer:
(6, -11), (-10, -7) and (-2, -11)
Step-by-step explanation:
Coordinates of a triangle are represented in the form of a matrix as,
[tex]\begin{bmatrix}x_1 & x_2 & x_3\\ y_1 & y_2 & y_3\end{bmatrix}[/tex]
If the given triangle is shifted by 1 unit left and 4 units down,
Translation of vertices in the matrix form will be,
[tex]\begin{bmatrix}x_1 & x_2 & x_3\\ y_1 & y_2 & y_3\end{bmatrix}+\begin{bmatrix}-1 & -1 & -1\\ -4 & -4 & -4\end{bmatrix}[/tex]
For a triangle having vertices (7, -7), (-9, -3) and (-1, -7) when shifted 1 units left and 4 units down will be,
[tex]\begin{bmatrix}7 & -9 & -1\\ -7 & -3 & -7\end{bmatrix}+\begin{bmatrix}-1 & -1 & -1\\ -4 & -4 & -4\end{bmatrix}[/tex]
= [tex]\begin{bmatrix}7-1 & -9-1 & -1-1\\ -7-4 & -3-4 & -7-4\end{bmatrix}[/tex]
= [tex]\begin{bmatrix}6 & -10 & -2\\ -11 & -7 & -11\end{bmatrix}[/tex]
Coordinates of the triangle after the translation will be,
(6, -11), (-10, -7) and (-2, -11)
PLEASE NEED IT ASAP You'll get brainliest Find the distance between the two points in simplest radical form. (0,-1) and (3,-5)
Answer:
5
Step-by-step explanation:
first you have to subtract x for example 0-5 square and use it on y and then square root both of them you will got the answer
Mr. Harris is purchasing 2.25 pounds of meat that costs $2.80 per pound. How much change should Mr. Harris receive if he gives the cashier $20.00?
Answer:
$13.70
Step-by-step explanation:
$2.80*2.25=$6.30
$20-$6.30=$13.70
Is 3b-8=13;-7 a solution?
Answer:
See below
Step-by-step explanation:
[tex]3b-8=13 \implies 3b=21 \implies \boxed{b=7}[/tex]
[tex]-7 \text{ is not a solution for the equation}[/tex]
is this a linear or non linear function?
Answer:
Linear I believe.
Step-by-step explanation:
Which of the following graphs represent a function
Answer: A
Step-by-step explanation:
Verticals line test
Answer:
A
Step-by-step explanation:
on edge 2021
The fourth graders and fifth graders at Valley Point Elementary are going on a field trip. There are 148 fourth graders and 96 fifth graders. There are also 18 teachers going. If 54 people can fit on one bus, how many buses are needed for all of the students and teachers?
Answer:
5
Step-by-step explanation:
can you solve this for me please
Answer:
the first one
Step-by-step explanation:
ive done this before
Answer:
Step-by-step explanation:
i got no idea
What value of n makes the equation below have no solution?
2x + 2 = nx - 3
A. 2
B. 3
C. 0
D.-2
Answer:
A
Step-by-step explanation:
This would be directly conflicting and would result in no answer as you would be saying that x could equal a number that would turn out the same if 2 were added to it and 3 were subtracted from it.
Answer:
A
Step-by-step explanation: Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).
The sum of the cube of a number and two times the number
Answer:
x^3+x×2
I got this : ) I hope it helped
The expression x³ + 2x represents the sum of the cube of a number and two times the number "x."
"the sum of the cube of a number and two times the number."
Let "x" represent the unknown number.
Express the given in algebra form as x³ + 2x.
To calculate the value of this expression for a specific value of "x," substitute the value of "x" into the expression.
Cube the number by raising it to the power of 3 (x³).
Multiply the number by 2 (2x).
Add the results
expression x³ + 2x represents the sum.
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Need help with question 5!!!!! ASAP PLEASE!!!
Answer:
B. 2-5 the answer is B. 2-5
Answer:
I think b
Step-by-step explanation:
Wha is the answer to 8x-15 = 8x-15
how many centuries are the same as 700 years?
Answer:
7
Step-by-step explanation:
700/100
For the equation y=3x+2 if we were to add 7 What effect would it help on the equation.
what is 12432 inches in yards
Answer:
345.333333Step-by-step explanation:
what is 3 1/7 x 1 2/7
Answer:(Key: Underlined word means repeating decimal)
28.28
Step-by-step explanation:
but in fraction form it is
solved:
3 *7 + 1 x 7 * 1 + 2
22/7 * 9/7
198/7
A chain of car dealership got a shipment of 9,240 new cars. There are the same number of cars in every color. How many colors could there be?
Answer:
9,420 colors making exactly 1 car of each color exist
Step-by-step explanation:
Since there is no additional information, such as the number of colors we have to assume the maximum. Since there are over 10 million colors that exist and there is at least one car of each color, then there would be a maximum of 9,420 colors making exactly 1 car of each color exist. On the other end of the spectrum would be 2 colors making 4,710 cars of each color.
The number of different possible colors of vehicle can be found using the relation
[tex] \frac{9240}{c} [/tex]
The number of cars shipped = 9240The number of cars belonging to each different color is the sameThe number of different colors possible :
Total number of shipment ÷ Number of cars belonging to each color If the Number of cars belonging to each color = cThe number of different possible colors can be obtained using the expression :
[tex] \frac{9240}{c} [/tex]
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I need help with number 8
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The square roots are approximately ...
√5 ≈ 2.23
√17 ≈ 4.12
√56 ≈ 7.48
√88 ≈ 9.38
√118 ≈ 10.86
These are plotted below.
Simplify: 2x + 4y - x + y
Answer:
x+5y
Step-by-step explanation:
Answer:
1x+5y or x+5y is it simplfyed
WILL MARK BRAINLIEST Given a the line y=2.5x+4, find line whose graph: b intersects with the graph of the given line.
Five friends shared 2/3 bags of popcorn. how much popcorn did each friend eat?
Answer:
Each friend will get 2/15ths of the popcorn.
Alice made the conjecture 5x = 30 and x = 5. Which of the following is true to her conjecture?
O True, x = 5
O True, x = -6
O False x = -5
O False, x = 6
Answer:
False, x=6
Step-by-step explanation:
5x=30
Divide 5 on both sides
5/5 leaves x
30/5=6
Bring down x
x=6
I love you the way you are c:
Answer: Be careful on you love
Step-by-step explanation: I got heartbroken
The points (12,14) and (42,49) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
Answer: 5/2
Step-by-step explanation:
49 - 42/ 14 - 12
“I think of a number, multiply it by 2, subtract 3 and multiply the result by 4."
Answer:
33x2=66
66-3=62
62x4=248
Is this a question for a test cause if it is i'm gonna feel embarrassed
