Answer:
1/25
Step-by-step explanation:
Convert to a fraction by placing the expression over 100 .
Answer : 4/100 and / or 1/25
Step-by-step explanation:
when converting percentages to fractions its always out of 100
for example, if the percentage is 4% then its 4/100
System practice problems
Looking at the first system of equations,
16x - 10y = 10
-8x - 6y = 6
If we multiply both sides of the second equation by 2, the coefficient of x is exactly the negative of the coefficient of x in the first equation.
-8x - 6y = 6
⇒ 2 (-8x - 6y) = 2 (6)
⇒ -16x - 12y = 12
By combining this new equation with the first one, we can eliminate x and solve for y :
(16x - 10y) + (-16x - 12y) = 10 + 12
⇒ -22y = 22
⇒ y = -1
Then we just solve for x by replacing y in either equation.
16x - 10y = 10
⇒ 16x - 10 (-1) = 10
⇒ 16x + 10 = 10
⇒ 16x = 0
⇒ x = 0
The main idea behind elimination is combining the given equations in just the right amount so that one of the variables disappears. The "right amount" involves using the LCM of the coefficients of a given variable. In this example, the x-coefficients had LCM(8, 16) = 16, so we only had to scale one of the equations (the one with -8x) to cancel all the x terms.
If we wanted to eliminate y first instead, we first note that LCM(6, 10) = 30. To get 30 as a coefficient on y, in the first equation we would have multiplied by 3:
16x - 10y = 10
⇒ 3 (16x - 10y) = 3 (10)
⇒ 48x - 30y = 30
And in the second equation, we would have multiplied by -5 (negative so that upon combining the equations, we end up with -30y + 30y = 0):
-8x - 6y = 6
⇒ -5 (-8x - 6y) = -5 (6)
⇒ 40x + 30y = -30
Now combining the two scaled equations gives
(48x - 30y) + (40x + 30y) = 30 + (-30)
⇒ 88x = 0
⇒ x = 0
We then solve for y :
16x - 10y = 10
⇒ -10y = 10
⇒ y = -1
so we end up with the same solution as before.
The lines represented by the equations y=-2x-6 and 2y+x=-16 are
Answer:
Is that the entire question? I want to help but I don't see a full question it looks like half of one
I need help with the answer to this question.
9 - 3 divided by 1/3 + 1 = ?
Will give the ranking thing to best explanation.
(sry I don’t know the name of what the ranking is called)
19
Explanation:
9-3=6
(Check your work)
3+6=9
__________________________________
6÷1/3=18
(Check your work)
(6×3=18)
__________________________________
18+1=19
Therefore,
the answer is 19!
The first step for deriving the quadratic formula from the quadratic equation, 0 = ax^2 + bx + c, is shown.
Step 1: –c = ax^2 + bx
Which best explains or justifies Step 1?
subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication
Answer:
Subtraction property of equality
Step-by-step explanation:
You subtracted c from both sides of the equation to preserve equality
The step 1 is explained by subtraction property of equality.
The correct option is A.
The standard form of Quadratic Equation is
ax² + bx + c = 0
Also, we must remove c from the right side and move it to the left side in order to derive the quadratic formula from the quadratic equation.
And to do that, we must subtract c from both sides, which is
-c = ax² + bx
Then, we have used subtraction property here.
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What is the end behavior of the function shown in the graph above?
A
As x approaches 0, y approaches 15.
As x approaches 25, y approaches 0.
B
As x approaches∞, y approaches 0.
As x approaches −∞, y approaches ∞.
C
As x approaches 0, y approaches ∞.
As x approaches ∞, y approaches −∞.
D
As x approaches ∞, y approaches 0.
As x approaches ∞, y approaches ∞.
Answer:
B
Step-by-step explanation:
What is the domain and range of this? Is it a function yes or no?
Find the slope of the line containing the points (3,2) and (6,9).
Answer:
7/3
Step-by-step explanation:
Can i get some help :
dang this looks so confuseing
A cone has a volume of 94.2 cubic feet and a height of 10 feet. What is its radius?
Answer:
3 ft
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h
Solving for r, we find ...
r = √(3V/(πh))
r = √((3×94.2)/(π×10)) ≈ √9 = 3 . . . . ft
The radius of the cone is 3 ft.
Mattie Evans drove 350 miles in the same amount of time that it took a turbopropeller plane to travel 1350 miles. The speed of the plane Has 200 mph faster than
the speed of the car. Find the speed of the plane.
(Simplify )
let
d1 = 250 mi the distance that Mattie Evans drove
v1 = the speed of Mattie Evans
d2 = 1300 mi the distance the plane traveled
v2 = the speed of the plane
The speed of the plane was 190 mph faster than the speed of the car:
v2 = v1 + 190
since time = distance/speed and they both traveled the same time we have
d1/v1 = d2/v2
250/v1 = 1300/v2 cross multiply
250v2 = 1300v1 divid eboth sides by 50
5v2 = 26v1
by solving the system of equations:
v2 = v1 + 190
5v2 = 26v1
we find
v1 = 45.24 mph
v2 = 235.24 mph
Mathew grew a sunflower that was 1 7/8 meters tall. She cut 3/4meters off the height. How much of the steam is left?
Mir. White has a beach lot that is 60 feet wide.
What is the width of his lot in yards?
Answer:
20 Yards
Step-by-step explanation:
3 feet = 1 yard
60 / 3 = x yards
20 yards
1. When is it best to solve a system of equations using graphing?
2. When is it best to solve a system of equations using substitution?
3. When it is best to solve a system of equations using elimination? When it is
1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.
2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.
3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.
Determine whether the lines 3x+2y=6 and 4y=-6x-12 are parallel, intersect, or coincide
Answer:
parallel
Step-by-step explanation:
3x + 2y = 6 can be written as y = -3/2x +3
4y = -6x -12 can be written as y= -3/2x-3
same slope different y intercept so parallel
PLEASE HELP!!! Can someone help me figure this out
Answer:
Step-by-step explanation:
x^2 = 5x + 24 Transfer (subtract) 5x + 24 to the left.
x^2 - 5x - 24 = 5x-5x+24 -24
x^2 - 5x - 24 = 0 This does factor. -8 and 3 are your factors.
(x - 8)*(x + 3) = 0
So if x - 8 = 0
then x - 8 + 8 = 0 + 8
x = 8
If x + 3 = 0
then x = - 3
Are these both correct?
x^2 = 5x + 24
x = 8
8^2 = 5*8 + 24
64 = 40 + 24
64 = 64
and x - 8 is a factor
x^2 = 5x + 24
x = - 3
(-3)^2 = 5 * -3 + 24
9 = -15 + 24
9 = 9
And x + 3 is a correct factor
The diagram shows a square pizza box with side lengths of 12 inches. In the box is a circular pizza with a radius of 5 inches. What is the difference between the area of box and the pizza? Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
Box
Area of the box
Area = s^2
s = 12 inches
Area = 12^2
Area = 144
Pizza
Area = pi r^2
Area = 3.14 * 5^2
Area = 25 * 3.14
Area = 78.5
Difference = 144 - 78.5
Difference = 65.5
Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?
Point R is at (−40, 30), a distance of 60 units from point Q
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q
Answer:
Point R is at (−40, −30), a distance of 60 units from point Q
Step-by-step explanation:
Correct option is ,
Point R is at (-40, 30) , a distance of 60 units from Point Q.
hope this answer helps you dear take care!
someone who is good a math please answer this today asap will give brainliest
The length of a rectangle is 4 more than its width. The perimeter is 40 feet.
What are the length and width of the rectangle?
Hint: The perimeter of a rectangle is given by the formula P = 2l + 2w.
The width is 8 ft and the length is 12 ft.
The width is 13 ft and the length is 7 ft.
The width is 7 ft and the length is 13 ft.
The width is 12 ft and the length is 8 ft.
Answer:
the Answer is C
Step-by-step explanation:
We are given –
The perimeter is 40 feet and the length of a rectangle is 4 more than its width. Let the length be " l " and the width be " w ".As we know that –
Rectangle is a four sided polygonal figure, i.e, a quadrilateral, in which the opposite sides are of equal length and are parallel. Also its diagonals bisects each other.[tex].\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \boxed{ \bf{ \: \: \: \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny\sf{A \: rectangle} [/tex]
Perimeter = 2 (l + w) unitsArea = lb sq.unitsAccording to the question –
Width = w feet Length = w+4 feet[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }[/tex]
[tex]\qquad[/tex][tex] \bf \longrightarrow Perimeter _{(Rectangular) } = 2 (l + w)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2( w+ 4 +w)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2 ( 2w +4)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 4w +8[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 40-8[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 32[/tex]
[tex]\qquad[/tex][tex]\sf \longrightarrow w = \cancel{\dfrac{32}{4}}[/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow w = 8 \:feet}[/tex]
Width of perimeter is = 8 feetSubstituting the value of w–
[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = (w+4)\: feet }[/tex]
[tex]\qquad[/tex][tex]\bf \longrightarrow Length\: of \: rectangle = 8+ 4 \:feet [/tex]
[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = 12\: feet}[/tex]
Henceforth, The width is 8 ft and the length is 12 ft.__________________________________________
Find the x and y-intercepts of y= 2/5x-12
If 2 caterpillars eat 6 leaves each day, how many leaves do 12 caterpillars need each day?
Answer:
72 Leafs
Step-by-step explanation:
4.5% of it is 23% of 45
Answer:
230
Step-by-step explanation:
23% of 45 = 10.35
10.35 / 4.5 = 2.3
2.3 x 100 = 230
Step-by-step explanation:
it will be equal 230 as in the shown photo
What is -2×-4 in mathematics
Answer:
8
Step-by-step explanation:
negative times a negative equals a positive
Anna is working two summer jobs, making $18 per hour lifeguarding and making $11 per hour clearing tables. In a given week, she can work a maximum of 14 total hours and must earn at least $210. If Anna worked 12 hours clearing tables, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.
Answer: She would make $132 a day by cleaning tables for 12 hours and getting 11 per hour. She would have to get rid of 1 hour and 90 minutes of lifeguarding to get the same pay.
Step-by-step explanation:
I NEED SOME HELP PLS
Answer: I might have done some of the math wrong but I think this is the answer.
Step-by-step explanation:
Jose would be able to save $16,400 including the $2,000 and he will need $166,000 in financial aid.
What are the vertices of PQR?
Answer:
D
Step-by-step explanation:
i may be wrong. if i am, sorry. but a vertice is basically just a point.
The vertices of the given triangle PQR are P, Q and R. Therefore, the correct answer is option D.
A vertex (plural vertices) in geometry is the intersection of two straight lines. Three line segments come together to form a triangle. The ends of a triangle's three sides meet at three separate points in a plane to form the triangle, which has three sides with two endpoints each. The vertices of a triangle are the three distinct intersecting points or corners.
Vertices of the triangle are represented by letters.
In triangle PQR, vertices are P, Q and R.
Therefore, the correct answer is option D.
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Last week, you finished Level 2 of a video game in 32 minutes. Today, you finish Level 2in 28 minutes. What is your percent of change
Answer:
12.5% decrease
Step-by-step explanation:
[(V2 - V1) / V1] x 100 = Percent Change
Anna and Sam each want to run for president of their school's student body council. In order
to do so, they must collect a certain number of signatures and get a nomination. So far, Anna
has 20 signatures, and Sam has 25. Anna is collecting signatures at an average rate of 6 per
day, whereas Sam is averaging 5 signatures every day. Assuming that their rate of collection
stays the same, eventually the two will have collected the same number of signatures. How
long will that take?
Time
elapsed
Write a system of equations, graph them, and type the solution.
Answer:
6x+20=5x+25
5 days
Step-by-step explanation:
Let x = the days that they have the same amount of signatures
We know Anna has 20 currently and gets 6 per day, so we can use y=mx+b to describe her linear relationship.
We also know that Sam has 25 and gets 5 per day, so we can again use y=mx+b to describe his linear relationship.
Since both equations equal the variable y, we can say they equal each other and set up 6x+20=5x+25.
Then you subtract 20 from both sides and subtract 5x, so you are left with x =5, or 5 days until they have the same amount of signatures
Hope this made sense :D
Simplify the expression. Write your answer as a power. 7^5•7^3/7^2
[tex]7^5 \cdot \dfrac{7^3}{7^2}\\\\=7^5 \cdot 7^{3-2}\\\\=7^5 \cdot 7^1 \\\\=7^{5+1}\\\\=7^6[/tex]
What is the equation of the line that passes through the point (5, 6) and has a slope
of 2
Answer:
y = 2x - 4
Step-by-step explanation:
Given:
x1 = 5
y1 = 6
slope (m) = 2
Solution:
y - y1 = m ( x - x1 )
y - 6 = 2 ( x - 5 )
y - 6 = 2x - 10
y = 2x - 10 + 6
y = 2x - 4
Find the percent change from the first value to the second. Tell if it a decrease or
increase.
36: 63______;_______