Answer: 3 seconds
Step-by-step explanation:
t = √h / 4
t = (√125) / 4
t = (5√5) / 4
t = 2.795 seconds
Because integer numbers can't be decimals so we round it to 3.
The Hu family goes out for lunch, and the price of the meal is $59. The sales tax on the meal is 6%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal? The total cost of the meal is $ .
Answer:
$71.39
Step-by-step explanation:
So we can go ahead and add the extra money they paid (sales tax and tip).
15% + 6% = 21%
Then we can find 21% of 59 then that will be our extra money we're paying.
59 × 0.21 = 12.39
Then we add that amount to our 59 to get the total amount.
59 + 12.39 = 71.39
Which is an equation of the line through (0, 0) and (2, –3)?A.y=−23xy=− 32 xB.y=32xy= 23 xC.y=−32xy=− 23 xD.y=23xy= 32 x
The equation of the line passing through (0, 0) and (2, –3) is y = - 3 / 2 x
How to find the equation of a line?The equation of a line can be described as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, using (0, 0)(2, -3)
m = y₂ - y₁ / x₂ - x₁
m = -3 - 0 / 2 - 0
m = - 3 / 2
Therefore, the y-intercept is 0.
The equation of the line is y = - 3 / 2 x
learn more on equation of line here: https://brainly.com/question/12810609
#SPJ1
GJ = 4x - 8, and GH = 120
The value of x if H is the midpoint of GJ is 31 units.
How to find value of x using midpoint?The midpoint is the middle point of a line segment.
It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.
The midpoint is halfway between the two end points.
Therefore, H is the midpoint of GJ
Hence,
GJ = GH + HJ
GJ = 4x - 8
GH = 120
Therefore, GH and HJ are congruent because H is the midpoint of GJ
GH = HJ
Hence,
4x - 8 = 120 + 120
4x - 8 = 240
4x = 240 + 8
4x = 248
x = 248 / 4
x = 31
learn more on midpoint here: https://brainly.com/question/17522684
#SPJ1
Solve the simultaneous equations 3 x + 2 y = 7
2 x − 3 y = − 4
Pls pls pls help me
On solving the simultaneous equations 3x+2y=7 and 2x-3y=-4 , the value of x is 1 and the value of y is 2 .
In the question,
it is given that the simultaneous equations are
3x+2y=7 ....(i)
and
2x-3y=-4 ...(ii)
to solve these equations ,
we multiply equation(i) with 2 and
multiply equation(ii) with 3 .
So , the equations become
6x+4y=14 ...(iii)
and
6x-9y=-12 ....(iv)
we subtract equation (iv) from (iii) ,
So,
(6x+4y)-(6x-9y)=14-(-12)
Solving further ,
6x+4y-6x+9y = 14+12
4y+9y = 26
13y = 26
y = 26/13
y = 2
Substituting the value of y as 2 in equation (iii) , we get
6x+4(2) = 14
6x + 8 = 14
6x = 14-8
6x = 6
x=6/6
x=1
hence x=1 and y=2 .
Therefore , On solving the simultaneous equations 3x+2y=7 and 2x-3y=-4 , the value of x is 1 and the value of y is 2 .
Learn more about Equations here
https://brainly.com/question/16848868
#SPJ1
21. If x: y = 3: 4, find (3x + 4y): (5x + 6y).
Correct option is B)
Put x=3y=4
(3x+4y):(5x+6y)=(3×3+4×4):(5×3+6×4)
=(9+16):(15+24)
=25:39
find the value of x and y.
(8x-31) (5y+35) (6x+3)
Answer: 8x + -31 + 5y + 35 + 6x + 3 = 180. Reorder the terms: -31 + 35 + 3 + 8x + 6x + 5y = 180.
Lesley wants to be a soccer star. To be scouted by a professional team, she needs to score an average of at least 4 goals per game. Her current stats are 6 goals, 1 goal, no goals, and 3 goals. 1. How many goals does she need to score in her next game to get scouted? 2. When this inequality is graphed will the limit be an open or closed circle?
If we define x as the number of goals that she needs to do, we can write the inequality:
x ≥ 10.
And to graph that we need to use a closed dot at x = 10.
How many goals does she need to score on the next game?
We know that Lesley wants to have an average of 4 games per day.
Until now she played:
Game 1: → 6 goals.Game 2: → 1 goals.Game 3: → 0 goals.Game 4: → 3 goals.Now we assume that on game 5 she does x goals, and if we want the average to be 4 or larger, then we can write:
(6 + 1 + 0 + 3 + x)/5 ≥ 4
Now we need to solve that inequality, we can rewrite:
(6 + 1 + 0 + 3 + x)/5 ≥ 4
(10 + x)/5 ≥ 4
(10 + x) ≥ 4*5
(10 + x) ≥ 20
x ≥ 20 - 10
x ≥ 10
So she needs to do at least 10 goals on the next game.
Now, when graphed we will have an open or a closed circle? In the inequality we have the symbol " ≥ " so x = 10 is a solution, then we need to use a closed circle.
Learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1
In a survey 34% of population was found to know hindi 46% to know english and 23% to know both languages.What is the percentage of those knowing neither hindi nor english
The percentage of population of those knowing neither Hindi nor English is 43%.
What is percentage?The outcome of multiplying a given number by a percentage is the percentage. Since a percentage is a portion of a number or quantity, they are typically smaller than the actual number. There are instances, though, where the percentage exceeds the number. If the percentage is greater than 100%, this would occur.
A percentage is simply a certain proportion of a number.
Typically, the phrase "percent of" comes after the quantity.
So, 70% of 50 is 35, for instance.
50 is the quantity, 35 is the percentage, and 70% is the percent in this sentence.
The total percentage of population is represented by 100%, so let the population be 100
No. of population that knows only Hindi = 34 - 23
= 11
No. of population that knows only English = 46 - 23
= 23
No. of population that knows both = 23
The sum = 11 + 23 + 23
= 57
No. of population that knows neither Hindi nor English = 100 - 57
= 43
And percentage = 43%
Learn more about percentage
https://brainly.com/question/24877689
#SPJ9
Evaluate the function below for the given value of x
Answer:
Step-by-step explanation:
- 4 ≤ 3 , then f(- 4) = [tex]\frac{1}{2}[/tex] ( - 4) + 1 = - 1
2 ≤ 3 , then f(2) = [tex]\frac{1}{2}[/tex] (2) + 1 = 2
3 ≤ 3 , then f(3) = [tex]\frac{1}{2}[/tex] (3) + 1 = 2.5
5 > 3 , then f(5) = 9×5 - 4 = 41
PLS Heeeeeeelp!!!!!!!!!!
Answer 9 3/7
Step-by-step explanation:
[tex] \frac{30}{7} \times \frac{11}{5} \\ = \frac{330}{35} \\ = 9 \frac{15}{35} [/tex]
SIMPLIFIED WE GET:
[tex]9 \frac{3}{7} [/tex]
THE LAST OPTION IS THE ANSWER
Algebra 2.6 2.7
Helpmeeeeeeeee
a)Percentage increase is 23.07%.
b)Percentage increase is 28.5%.
What is percentage?Percentage is a relative value that represents hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is
([tex]\frac{value}{total value}[/tex])100%.
Given Data
Percentage increase = [tex]\frac{final value - starting value}{starting value}[/tex]× 100
a) Cost = $65
New cost = $70
Difference = 5
Equating,
Percentage increase = [tex]\frac{70-65}{65}[/tex] × 100
Percentage increase = [tex]\frac{15}{65}[/tex] × 100
Percentage increase = 23.07%
Percentage increase is 23.07%.
b) Cost = $45
New cost = $35
Equating,
Percentage increase = [tex]\frac{45-35}{35}[/tex] × 100
Percentage increase = [tex]\frac{10}{35}[/tex] × 100
Percentage increase = 28.5%
Percentage increase is 28.5%.
To learn more about percentage, visit:
https://brainly.com/question/28269290
#SPJ9
Write the negation of the following statement: No one has a pet water buffalo.
SOMEONE HAS A PET WATER BUFFALO.
THE GIVEN STATEMENT IS INDICATING THAT NOT EVEN ONE PERSON HAS A PET WATER BUFFALLO SO THE NEGATION SHOULD INDICATE THERE IS SOMEONE WHO DOES HAVE A PET WATER BUFALLO.
HOPE THIS HELPS
-3(3-8j) answer pls i need to make up my grade , what’s the answer?
Answer: if the j is supposed to be there, the answer is -9+24j. if the j is not there then just -9+24.
Step-by-step explanation: we distribute the -3 to the 3 and the -8. (-3x3=-9) and (-3x-8=24). when you multiply for divide by a single negative it is negative. when there are two negatives the answer will come out positive.
Which Of the Following Is not a regular polygon
A) Square B) Equilateral Triangle C) Rectangle D) Regular Hexagon
Answer:
Rectangle
Step-by-step explanation:
It is because the length and breadth are not equal
HELP ME I DONT UNDERSTAND THIS
Answer:
[tex]4r - 9s = k \\ ➪4r = 9s + k \\➪ r = \frac{9s + k}{4} [/tex]
Hope it helps
The volume of this cylinder is 6480π cm3.
Find the length of the radius,
The sides are equal to 180cm.
Answer:
The length of the radius is 10.7cm
Step-by-step explanation:
[tex]v = \pi {r}^{2} h[/tex]
6480=(22r*180)/7
6480*7=3960r
r=
[tex]r = \sqrt{45360 \div 396} [/tex]
radius=10.7UGH I HATE MATH HELP
Hello!
What is the slope-intercept form:
[tex]y = mx + b[/tex]
m: is the slope[tex]m = \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-4}{0--2} =\dfrac{-5}{2}[/tex]
⇒ where (x₂,y₂) and (x₁,y₁) are random points on the line
b: y-intercept or the point that has an x-coordinate value of '0'⇒ thus our y-intercept is '-1'
Thus our line's equation in slope-intercept form:
[tex]y= -\dfrac{5}{2}x -1[/tex]
Hope that helps!
An angle measures 27.8° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
∠1 = 103.9° ; ∠2 = 27.8°
Step-by-step explanation:
Supplementary angles = 180°
So, Let the angles be 'x'
Then, x + x -27.8° = 180°
2x - 27.8° = 180°
2x = 180° + 27.8°
2x = 207.8°
x = 207.8°/2
x = 103.9°
Therefore ∠1 = 103.9° ; ∠2 = 27.8°
I hope the answer is correct and has helped you!!!
Write an equation that represents the line. *Use exact numbers*
The equation that represents the line is,
y+3 = 3/4(x-2)
We are asked to find the equation that represents the line shown in the figure.
We need the slope of the line and a point on the line to find the equation of the line.
The equation of a line can be written in the slope-intercept form given below as,
y-y₁ = m(x-x₁),
where m is the slope of the line and (x₁, y₁) is a point on the line.
From the figure we can find two points on the line which are (x₁ ,y₁) = (2, -3) and (x₂, y₂) = (-2, -6).
Hence slope, m = (y₂-y₁)/(x₂-x₁)
= (-6- -3)/(-2-2)
= 3/4
So the equation that represents the line is
y - -3 = 3/4(x-2)
⇒ y+3 = 3/4(x-2)
Learn more about equation of a line at https://brainly.com/question/18831322
#SPJ1
benjamin wrote: -20+4x2+7-35=-19 where can he place the parentheses to make this statement true
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given equation.
5x+2y=10 and passes through (-6, 7)
y = -5/2x-8 is the slope-intercept form for the lines that passes through the point (-6,7) and parallel to 5x+2y = 10.
Given that, the line 5x+2y = 10 passes through the point (-6,7) and is parallel to the given equation. Now, we have to write an equation in the slope-intercept form.
The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).
The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b.
where, m is the slope of the line and b is the y-intercept of the line.
Let's proceed to find the equation.
5x+2y = 10
2y = -5x+10
y = -5/2x+10/2
y = -5/2x+5
Now, comparing with y = mx+b (slope-intercept form)
m = -5/2 and b = 5
As the two lines are parallel with each other then the slope of other line will also be same as m = -5/2
Now, the line passing through the point (-6,7)
⇒ x₁ = -6 and y₁ = 7
y-y₁ = m(x-x₁) ..........(1)
putting values in equation (1), we get
y-7 = -5/2(x-(-6))
⇒ y-7 = -5/2(x+6)
⇒ y = -5/2x-15+7
⇒ y = -5/2x-8
This is the slope-intercept form for the lines that passes through the point (-6,7) and parallel to 5x+2y = 10.
Hence, y = -5/2x-8 is the required answer.
Learn more in depth about slope-intercept form at https://brainly.com/question/1884491
#SPJ1
|2b + 2| = 6
please help put
Answer:
b is -4
Step-by-step explanation:
we're given:
|2b + 2| = 6
substituting b for -4 :
|2(-4) + 2| = 6
|-8 + 2| = 6
|-6| = 6
any negative number between absolute value becomes positive.
Hence b is -4
Help quick!! I need someone to answer this for me.
Which graph represents y=3√x+6-3?
The graph shown below represents the equation y =[tex]3\sqrt{x+6} -3[/tex]
What is coordinate plane ?Two number lines combine to form a two-dimensional surface known as a coordinate plane. It is created when the origin, a point where the X- and Y-axes coincide, is crossed by a horizontal line. Points are located using the numbers on a coordinate grid. You can graph points, lines, and many other things using a coordinate plane. It serves as a map and provides clear directions between two points.
To learn more about coordinate plane visit :
brainly.com/question/13611766
#SPJ9
Simplify the exponential expression (2x^2y^4)^3
Answer:
8x6y12
Step-by-step explanation:
Given: -3(4x + 1) = 21
Prove: x = -2
Answer:
-3(4x + 1) = 21 given
4x + 1 = -7 Division Property of Equality
4x = -8 Subtraction Property of Equality
x = -2 Division Property of Equality
Answer:
see explanation
Step-by-step explanation:
prove by solving the equation
- 3(4x + 1) = 21 ( divide both sides by - 3 )
4x + 1 = - 7 ( subtract 1 from both sides )
4x = - 8 ( divide both sides by 4 )
x = - 2
thus solution is x = - 2
(EASY POINTS)
Solve for x in this figure.
x=
Answer:
x = 132°
Step-by-step explanation:
Sum of interior angles = (n - 2) x 180, where n is number of sides of the polygon.
Sum = (6 - 2) x 180 = 720°
sum = 160 +75 + 132 + 113 + 108 + x
sum = 588 + x
720 = 588 + x
x = 720 - 588
x = 132°
:)
I need help. What are the answers????
Answer:
5) a) x=55
Step-by-step explanation:
x=55
2x + 15 = 110 + 15
=125
what is the value of cos 360
What is the least common multiple of 8, 11, and 20?
PL help
Answer: 40
Step-by-step explanation:
The smallest number that all three numbers go into evenly is 40.
Therefore the LCM of 8, 11, and 20 is 40.
Answer:
440
Step-by-step explanation:
To find the Least common multiple (L.C.M) of 8, 11 and 20, it means that:
you list the first several multiples of each number, look for multiples common to both lists, Look for the smallest number common in both sides, the number is the LCM you are looking for.8 = 2,2,2
11 = 1, 11
20= 2,2,5
LCM of 8,11,20 = 2× 2 × 2 × 11 × 5
= 440