Answer:
Y=5/16x -3/4
Step-by-step explanation:
3/8 * 8/3y=(5/6x -2) *3/8
y=5/16x - 3/4
The standard form of the equation is 5x -16y = 2.
It is required to find the standard form.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
According to given question we have,
The least common multiple of the fraction denominators is 6. Multiplying by that gives
16y = 5x -2
We can put this in standard form by adding 2-16y to both sides.
5x -16y = 2
Therefore, the standard form of the equation is 5x -16y = 2.
Learn more details about arithmetic here:
https://brainly.com/question/11559160
#SPJ2
Suppose you have a line segment with endpoint (-1,2) and midpoint (3,4). Which of the following is the other endpoint of your segment?
Step-by-step explanation:
we know that midpoint of a segment is found from formula
x=(x1+x2)/2
and y=(y1+y2)/2
in this case x=3 and y=4 x2=-1 and y2=2
so x1=2x-x2 =2*3-(-1)=6+1=7
y1=2y-y2=2*4-2=8-2=6
the other endpoint is (7,6)
Find the area of triangle DEF with vertices D(-1,2), E(3,-2) and F(-2,-2).*
Answer:
The area of the triangle DEF is 10.
Step-by-step explanation:
Area of a Triangle:
A triangle of base B and height H (both must be perpendicular) has an area of:
[tex]\displaystyle A=\frac{BH}{2}[/tex]
The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:
[tex]\displaystyle A=\frac{5*4}{2}=10[/tex]
The area of the triangle DEF is 10.
Which equation represents line shown in the accompanying
diagram?
Lola purchased two pairs of shoes that each cost $20.00. She then purchased a pair of jeans for $14.50 and a shirt for $8.25. What is the total amount of money she spent, before tax?
Answer:
62.75
Step-by-step explanation:
two pairs of shoes 20 each equals 40 bucks plus 14.50 equals 54.50 plus 8.25 equals 62.75
the sum of 17 and a number X is equal to 20
Answer:
20 = x + 17
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
17 + x = 20
-17 -17
x = 3
how do I do simplified expenrntial form for stuff like (4³)⁷
Answer:
4398046511104
Step-by-step explanation:
you multiply the exponents which results in 21 and then you do 4^21 which gets 4398046511104
how long does it take for a bee to fly 12 miles going 15 mph?
Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes.
How many of each coin does he have?
Enter your answers in the boxes.
dimes and
quarters
Answer:
dimes: 50
quarters: 8
Step-by-step explanation:
7 quarters is $1.75 + 1 quarter to make it even and it equals $2.00 then, 10 dimes for each dollar and that would be 50 dimes for $5.00. $2.00 + $5.00 is equal to $7
Answer:
Dimes:15
Quarters:22
Step-by-step explanation:
I had the same quiz and this was correct.
help asap I will make you brainllest.
10) Simplify the following expressions
-|-4|+|-7.2|
a)-11.2
b)3.2
c)11.2
d)-3.2
11) What is the opposite of
12)
13)
14)
Answer: (10) 3.2 (11) option 2 (12) option 4
(13) Distributive (14) Associative
Step-by-step explanation:
10) "Absolute value" makes the number positive.
- |-4| + |-7.2|
= - 4 + 7.2
= 3.2
11) "Opposite" changes the sign.
the opposite of [tex]-\sqrt{\dfrac{2}{5}}[/tex] is [tex]+\sqrt{\dfrac{2}{5}}[/tex]
12) Reciprocal means "flip" the fraction
the reciprocal of [tex]-\sqrt{\dfrac{2}{5}}[/tex] is [tex]-\sqrt{\dfrac{5}{2}}[/tex]
13) a(b + c) = ab + ac is the Distributive Property
[tex]-\sqrt5(2+X)[/tex]
= [tex]-\sqrt5(2) -\sqrt5(X)[/tex]
= [tex]-2\sqrt5 -X\sqrt5[/tex]
14) a · (b · c) = (a · b) · c is the Associative Property
[tex]20(4\sqrt5)[/tex]
= [tex](20\cdot 4)\sqrt5[/tex]
The graph represents y = -4x + 7. Which statements are true about the graph?
Answer:a and e for usaprebtest
Step-by-step explanation:
Please help you guys
Answer:
It should be 21.1
Step-by-step explanation:
the original price of p of an item less a discount of 50%
-(5z + 12) = 18
show how to solve the given equation
Answer:
- 6
Step-by-step explanation:
Step 1:
- ( 5z + 12 ) = 18 Equation
Step 2:
- 5z - 12 = 18 Open Parenthises
Step 3:
- 5z = 30 Add 12 on both sides
Step 4:
z = 30 ÷ - 5 Divide
Answer:
z = - 6
Hope This Helps :)
Answer: z = -6
Step-by-step explanation:
Hi there! I will be showing you how to solve the given equation. If you have any questions feel free to comment it down below.
Step 1: Remove parentheses.
-5z - 12 = 18
Step 2: Add 12 to both sides.
-5z = 18 + 12
Step 3: Simplify 18 + 12 to 30.
-5z = 30
Step 4: Divide both sides by -5.
z = [tex]-\frac{30}{5}[/tex]
Step 5: Simplify [tex]\frac{30}{5}[/tex] to 6.
z = -6
I hope I helped you :)
Which situation can be represented by the equation -4x5= -20
Answer:
it just 20
Step-by-step explanation:
please help me on this please
Answer:
x = 57.59
Step-by-step explanation:
979 * 1 / 17
x = 57.59
cross multiply then divide.
if you want to be thorough and make the equation
17x = 979(1)
x = 57.59
You have a friend who is 6 feet, 5 inches tall. How tall is he in inches?
PLS ANSWER I NEED HELP ILL GIVE 50 POINTS PLS NO ONE HELPS ME.
What is the equation of this line?
y=2x−3
y=−12x−3
y=−2x−3
y=12x−3
Answer:
y=2x-3
Step-by-step explanation:
Help I really need the answer to this.
It’s either b or c
It either of those.
Answer:
3
Step-by-step explanation:
The sides are congruent so you can write the equation (4x+9)=21.
Now you subtract 9 from 21 and you get 4x=12.
All you gotta do now is divide and you get x=3.
Hope this helps!:)
Karen receives a grade of 75% on her math test, what fraction of the test questions did she get correct?
Answer:
3/4
Step-by-step explanation:
Answer:
She got 3/4 of the test correct
Step-by-step explanation:
Hellllpppppp plzzzzzz I’m failing!!!!!!!!!! Plzzzzz
Answer:
angle x is equal to 58
Step-by-step explanation:
simply add 66+56 which is equal to 122. now subtract 122 from 180 which is equal to 58.
Can you map shape I onto shape II by a sequence of transformations? If so, give a sequence of transformations that maps shape I onto shape II.
Yes, the shape I can onto shape II by a sequence of transformations.
Two images are given we have to determine that whether any of shape can onto other shapes.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The shape I can be mapped into shape II through a series of transformations.
The first sequence would involve translating shape I 8 units up and 4 units left, reflecting shape I across the x-axis, then rotating shape I 90 degrees counterclockwise about the origin.
Therefore, the shape I can onto shape II by a sequence of transformations.
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ2
Below is a diagram of Hillcrest High School. The english and math buildings are congruent rectangles. The art building is a square. The total perimeter of Hillcrest High school’s building is 1,718 feet. Find the value of x. Find the missing perimeters for the buildings.
1. Find the value of x.
2. Find the missing perimeters for the buildings.
3. What is the area of the English building? (plug in your x value!)
Answer/Step-by-step explanation:
1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft
Thus:
4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718
Open the Parentheses
4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718
Combine like terms
42x - 2 = 1,718
42x = 1,718 + 2
42x = 1,720
x ≈ 41
2. Missing perimeter of Building = 2x + 2x + 4x - 6
Simplify
= 8x - 6
Plug in the value of x
= 8(41) - 6
= 322 ft
3. Area of English Building = length * width
= (4x - 6 + 2x)(3x)
Simplify
= (6x - 6)(3x)
Plug in the value of x
= (6(41) - 6)(3(41))
= (246 - 6)(123)
= (240)(123)
= 29,520 ft²
Pls help asap if u can :((
Find the values of the unknowns.
Each pair of lines are parallel to each other.
a. 2x - y = 4 and ax - 3y = 3
The value of a: _____
b. x + 2y + 1 = 0 and 3x + ky = 1
The value of k: ____
C. 4x - py - 1 = 0 and -px + y - 2 = 0
The value of p: _____
pls help im so bad at this :(
Answer:
a id equal to 6
k is equal to 6
p is equal to 2 and -2 both
A car travels a distance of 145 miles in a time of 2.4 hours.
What is its average speed rounded to 1dp?
Answer:
60.4miles/hr
Step-by-step explanation:
Given parameters:
Distance covered by the car = 145miles
Time taken = 2.4hrs
Unknown:
Average speed of the car = ?
Solution:
Average speed is the rate of change of distance with time;
Average speed = [tex]\frac{distance}{time}[/tex]
Input the parameters and solve;
Average speed = [tex]\frac{145}{2.4}[/tex] = 60.4miles/hr
Really easy, giving you the answers, just match them up, thanks!
Answer:
why can u do this yourself ?
Step-by-step explanation:
are u ok r ur hands broken
Find the value of x plzzz
Answer:
x=5 gg ez
Step-by-step explanation:
Answer:
x =12
Step-by-step explanation:
angle 5 = 65
65 + (11x - 17) = 180 (supplementary angles)
11x + 48 = 180
11x = 132
x = 12
3/5x+1/4t=-1/2 in standard form
Answer:
[tex]\frac{3}{5}x+\frac{1}{4}t+\frac{1}{2}=0[/tex]
Step-by-step explanation:
Write in standard form.
Enter your answer as a fraction, in simplified form, in the box.
3/8⋅(−3/6)
Last year, the gym membership fee was $60. This year the fee is $48. By what percentage was the membership fee reduced
In the diagram, the measure of 1 is 55°. If line y is rotated 5° clockwise about the point of
intersection, what is the new measure of 3?
A. 60°
B. 130°
C. 120°
D. 50°
PLEASE LOOK AT THE PICTURE!!
Answer:
Option (1)
Step-by-step explanation:
Lines X and Y are intersecting at a point.
Two pairs of vertical angles have been formed at the point of intersection.
1). ∠1 and ∠3
2). ∠2 and ∠4
It's given that m(∠1) = m∠3 = 55° [Since pair of vertical angles are equal in measure]
If line Y is rotated 5° clockwise about the point of intersection of both the lines,
∠1 and ∠3 both will increase by 5°.
Therefore, measure of angles 1 and angle 3 will become (55° + 5° = 60°).
Option (1) will be the answer.
The new measure of angle 3 is 60 degrees
When a point or line is rotated, it must be rotated about a point of rotation
The angle measure is given as:
[tex]\angle 1 = 55^o[/tex]
By vertical angle theorem, we have:
[tex]\angle 3 = \angle 1[/tex]
So, the angle measure becomes
[tex]\angle 3 = 55^o[/tex]
The angle of rotation is given as: 5 degrees.
So, the new measure of angle 3 is:
[tex]\angle 3 = 55^o + 5^o[/tex]
[tex]\angle 3 = 60^o[/tex]
Hence, the new measure of angle 3 is 60 degrees
Read more about rotation at:
https://brainly.com/question/2283733