W = F(r + A)
r + A = W/F
r = W/F - A
A bag is filled with green and blue marbles. There are 41 marbles in the bag. If there are 15 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.
Bob needs to wash the windows on his house. He has a 25-foot ladder and places the base of the ladder 10 feet from the wall on the house. How far up the wall will the ladder reach?
Answer:
22.9 ft
Step-by-step explanation:
the height of the wall that reached by the ladder = √ (25²-10²)
=√(625-100)
=√525
= 22.9 ft
A cake shop can make 240 boxes of cakes for 8 days. How many cakes can the shop make in 12 days?
Answer:
360 cakesStep-by-step explanation:
soln:onecake =240\8=30then 12 cakes =30×12=360Answer:
360
Step-by-step explanation:
240÷8days=30
30×12days=360
Your soccer team has won 21 out of 30 games
this year. What is your winning rate?
Answer:
70% Winning Rate
Step-by-step explanation:
[Shown in image]
Answer:
70%
Step-by-step explanation:
the answer is in the question
look closer next time bro/sis
Find the area bounded by the curves y = x/2 and y =√x.
Answer:
[tex]\displaystyle \frac{4}{3}[/tex].
Step-by-step explanation:
Start by finding the intersection of the two curves:
[tex]\left\lbrace\begin{aligned}& y = \frac{x}{2} \\ & y = \sqrt{x} \\ & x \ge 0 \\ \end{aligned}\right.[/tex].
[tex]\displaystyle \frac{x}{2} = \sqrt{x}[/tex] while [tex]x \ge 0[/tex].
[tex]\displaystyle \frac{x^{2}}{4} - x = 0[/tex].
[tex]x = 0[/tex] or [tex]x = 4[/tex].
Therefore, these two curves would intersect at two points: [tex](0,\, 0)[/tex] and [tex](4,\, 2)[/tex].
The area bounded between [tex]\displaystyle y = \frac{x}{2}[/tex] and [tex]y = \sqrt{x}[/tex] would be between [tex]x = 0[/tex] and [tex]x = 4[/tex].
Refer to the diagram attached. The graph [tex]y = \sqrt{x}[/tex] is always above the graph of [tex]\displaystyle y = \frac{x}{2}[/tex] over the entire bounded area (except for the two intersections).
Therefore, [tex]\displaystyle \left(\sqrt{x} - \frac{x}{2}\right)[/tex] would represent the vertical distance between the upper and lower curve for any given [tex]x[/tex] over this bounded area (where [tex]0 \le x \le 4[/tex].)
Integrating height over the horizontal variable [tex]x[/tex] over some closed interval would give area. Likewise, the area between the two curves in this question could be found with the following integral:
[tex]\begin{aligned}& \int\limits_{0}^{4} \left(\sqrt{x} - \frac{x}{2}\right)\, dx \\ = \; & \int\limits_{0}^{4} \left(x^{1/2} - \frac{x}{2}\right)\, dx \\ =\; & \left[\frac{2}{3}\, x^{3/2} - \frac{x^{2}}{4}\right]_{x=0}^{x=4} \\ =\; & \frac{2\times 8}{3} - 4 \\ =\; &\frac{4}{3} \end{aligned}[/tex].
for f(x) = 2x+1 and g(x)=x*2-7
find (f/g) (x).
can someone please help? I put random numbers for the first 2 but I need help with the last one - i’ll give brainliest
Answer:
(x+x)^2=4-x
Step-by-step explanation:
I think, don't be mad if I'm wrong!
h=54+1/2at^2 solve for a
Im lost on if I should square the 1/2at first?
Other answer formats are possible.
===========================================================
Explanation:
Let's say we want to solve the equation h = 54 + 10a for the variable 'a'. This is relevant to the problem at hand don't worry.
What we'd do is two things
Subtract 54 from both sides Divide by 10So the steps look like this
h = 54 + 10a
h-54 = 10a
(h-54)/10 = a
a = (h-54)/10
Now let's say we wanted to solve this equation: h = 54 + ca, where c is a constant and can stand in place of any number. The steps would be pretty much identical. Instead of dividing both sides by 10, we divide both sides by c. We can do this as long as c isn't zero of course.
That means the equation h = 54+ca solves to a = (h-54)/c
---------------------------
Why did I do those examples? To build up to the equation your teacher gave you.
Let's replace c with 0.5t^2
This is because 1/2 = 0.5
The 1/2at^2 is the same as (1/2t^2)a
So instead of a = (h-54)/c, we'd get a = (h-54)/(0.5t^2)
As a last optional and encouraged step, we can multiply every term by 2 to get rid of that decimal value.
Doing so makes a = (h-54)/(0.5t^2) turn into a = (2h-108)/(t^2)
---------------------------
Here's another way to solve:
h = 54 + (1/2)at^2
h-54 = (1/2)at^2
2(h-54) = at^2
2h-108 = at^2
(2h-108)/(t^2) = a
a = (2h-108)/(t^2)
In the second step, I subtracted 54 from both sides. Immediately afterward, I multiplied both sides by 2 so I could clear out the fraction. Then I divided both sides by t^2 to fully isolated the variable 'a'.
PLS HELP ME GIVING BRAINLIEST AND POINTS
Answer:
-4(-4,2)
(16,-8)
option C is correct
Answer:
<16,-8>
Step-by-step explanation:
-4/9 ( 18/2 v)
First multiply
-4v
-4 < -4,2>
<16,-8>
The areas of two squares P and Q are 900cm and 400cm respectively. Find the ratio of the sides P and Q.
Answer:
each side of square P is 30cm and each side of square Q is 20cm. ratio is 30:20
Step-by-step explanation:
hope this helps
What is the mean, median and mode for...45,50,55,55,55,60,60,60,65,65,70?
Answer:
Mean = 58.18
Median = 60
Modes = 55 and 60
Step-by-step explanation:
To find the mean/average, add up all the numbers and divide the sum by the # of numbers there are (ex. there are 11 numbers so divide the sum by 11).
The median is the middle number of a set. In this case, the middle number is easy to see because the # of numbers is odd, but if it was even, just find the average of the two middle numbers.
The mode is/are the most frequent number(s) in the set. In this set, the numbers that appear the most are 55 and 60.
Andre drew a line connected to opposite corners of a parallelogram select a true statement about trying to create by the line andre drew
3 times the sum of a number and 5 is the same as -6, what is the number?
24 - 3y = -3 I just need then answer for this question
Answer:
y=7
Step-by-step explanation:
Answer:
y=9
hope this will help u
Factors can be defined as ________ which divide the dividend without leaving any reminder
Answer:
Factors can be defined as a number or algebraic expression which divide the dividend without leaving any reminder.
II. Maddy made 9 pancakes. She put chocolate chips on 2/3 of the pancakes. How many pancakes had chocolate chips? ut
The average length of an adult Eastern Coachwhip snake is 152.4 centimeters. Write a sentence comparing its length to the length of the other snakes listed in the table.
Answer:
The Eastern Coachwhip is the longest of the listed snakes.
Step-by-step explanation:
If 2(y + 10) = 18, find the value of 1/2y
Answer:
y = -1 ?
Step-by-step explanation:
y+10= 18/2
y+10=9
y=9-10
y=-1
Answer:
2y+ 20=18
⇔2y=-2
⇔y=-1
⇒1/2y=1/2(-1)
=-1/2
Step-by-step explanation:
Victoria measured a neighborhood park and made a scale drawing. In real life, the volleyball court is 8 meters wide. It is 2 centimeters wide in the drawing. What scale did Victoria use for the drawing?
9514 1404 393
Answer:
1 : 400
Step-by-step explanation:
Victoria's scale factor is ...
2 cm : 8 m = 2 cm : 800 cm = 2 : 800 = 1 : 400
Fghgguvguhv cygctgfyuhff
Answer:
80 degrees i believe
Step-by-step explanation:
if supplementary angles =180 then 180-100=80
Answer:
m∠QRS = 80°
Step-by-step explanation:
We know that, sum of supplementary angles is 180°.
Given that ∠ABC and ∠QRS are supplementary, and m∠ABC = 100°.
So, m∠ABC + m∠QRS = 180°
=> 100° + m∠QRS = 180°
=> m∠QRS = 180° - 100°
=> m∠QRS = 80°
Which of the following best describes the algebraic expression 5(x + 2) - 3 ?
A. Five times a number plus two minus three.
B. Three less than five times a number plus two.
C. Three less than five times the quantity of a number plus two.
D. Five times the quantity of a number plus two less than three.
Answer:
A
Step-by-step explanation:
brackets first according to bodmas
Answer:
C
Step-by-step explanation:
It is not A, that implies that there is no parenthesis needed. Same goes for D.
It is not B, (5x +2)-3
"Three less than" implies that 3 will be subtracted in the end of the equation.
B and C may get mixed up: C includes the phrase "the quantity" which implies the number (x) and two are added before being multiplied by 5.
384 divided by 24000long division
Answer:
i think it is 62.5
Step-by-step explanation:
Answer:
0.016
Step-by-step explanation:
24000÷384=0.016Point A has coordinates (-6, -2), and point B has coordinates (-4,6). What is the slope of a line segment connecting the two?
Answer:
6-(-2)/(-4+6) 8/2=4
Step-by-step explanation:
Y2-y1/x2-x1
The slope of the given line is m = 4.
Given,
Point A has coordinates (-6, -2).
Point B has coordinates (-4,6).
We need to find what is the slope of a line segment connecting the two.
What is the slope of a line between two points?If the two points are (x_1, y_1) and (x_2, y_2).
Then the slope is given by:
m = (y_2 - y_1) / (x_2 - x_1)
Find the slope.
Let,
(-6, -2) = (x_1, y_1)
(-4, 6) = (x_2, y_2)
m = (y_2 - y_1) / (x_2 - x_1)
m = (6 - (-2)) / (-4 - (-6))
m = (6 + 2) / (-4 + 6)
m = 8 / 2
m = 4
Thus the slope of the given line is m = 4.
Learn more about the slope of a line between two points here:
https://brainly.com/question/18298097
#SPJ2
please help in solving this math problem
9514 1404 393
Answer:
Rs 3200
Step-by-step explanation:
The actual selling price was 20% below the cost price, so was ...
sp = cp(1 -20%) = 0.80cp
Had the selling price been raised, the selling price would have been 5% above the cost price:
sp +800 = cp(1 +5%) = 1.05cp
Subtracting the first equation from the second gives ...
(sp +800) -(sp) = (1.05cp) -(0.80cp)
800 = 0.25cp . . . . . . . simplify
3200 = cp . . . . . . . . multiply by 4
The cost price was Rs 3200.
Last month a factory produced 880 television sets. This month the the same factory produced 1210 television sets. The increase percentage in production from last month to this month is
Answer:
330ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
The conference will begin at 8:30 a.m. and will last 5 hours 45 minutes. What time will the conference be over?
Answer:
The conference will be over at 2:15 pm.
Step-by-step explanation:
Convert 15/21 into a percent
Answer:
0.71
Step-by-step explanation:
please mark me brainliest please
Answer:
71%
Step-by-step explanation:
Simplify your fraction.
15/21 can turn into 5/7 when divided by 3.
Second, you'll divide 5/7.
You'll get a decimal like 0.71428 and so on, but you can just use the first 2 numbers.
71%
What is the value of the digit 2 in 432,094?
-11x-11x-11x-11x-11x-11x-11=
Alice rented bowling shoes for $3.25 and played five games at $2 each write and evaluate an expression for the total cost of bowling? 
Write numerical or algebraic expression
Answer:
The total cost is $13.25
Step-by-step explanation:
x = 3.25 + 5(2)
x = 13.25