Answer:
Ross = 15 hours
Russel = 40 hours
Step-by-step explanation:
Let Ross have used their sprinklers for x hours
Let Russell have used their sprinklers for y hours
Together they used 55 hours
x+y = 55 hours
The output of Ross is 35 liters per hour and Russell is 30 liters per hour for a total of 1725
35x + 30y = 1725
Multiply the first equation by -30
-30(x+y=55)
-30x -30y = -1650
Add this to the second equation to eliminate y
-30x -30y = -1650
35x + 30y = 1725
-----------------------------
5x =75
Divide each side by 5
x = 15
Now find y
x+y = 55
y = 55-15
y = 40
Simplify 6.920
A.-1
B.0
C.1
D.6.92
I'm pretty sure the answer is 6.92 cause when you simplify it you'll get that exact answer
Answer:
D 6.92
Step-by-step explanation:
6.920 and 6.92 are equal
when a watch is sold at ksh.126 a loss of x% is made if sold at ksh.154 aprofit of x%is realized .find the buying price
Answer:
ksh 140.
Step-by-step explanation:
when a watch is sold at ksh.126 a loss of x%. This can be summarised as follow:
Selling price (Sp) = ksh 126
Percentage loss = x%
Cost price (Cp) =?
Percentage loss = Cp – Sp/Cp x 100
x% = Cp – 126/Cp .......(1)
if sold at ksh.154 a profit of x% is realized. This can be summarised as follow:
Selling price (Sp) = ksh 154
Percentage gain = x%
Cost price (Cp) =?
Percentage gain = Sp – Cp/Cp x 100
x% = 154 – Cp/Cp..... (2)
Equating equation 1 and 2, we have:
x% = Cp – 126/Cp .......(1)
x% = 154 – Cp/Cp..... (2)
Cp – 126/Cp = 154 – Cp/Cp
Cross multiply
Cp(Cp – 126) = Cp(154 – Cp)
Cancel out Cp
Cp – 126 = 154 – Cp
Collect like terms
Cp + Cp = 154 + 126
2Cp = 280
Divide both side by 2
Cp = 280/2
Cp = 140
Therefore, the cost price otherwise known as the buying price is ksh 140.
a shopkeeper allows 10% discount on his goods to make 20% profit, if he sold a watch for Rs.10170 with 13% vat, by what percent is the discount to be increased to make only 12% profit
Answer:
16% of MP
Step-by-step explanation:
Key concepts to learn :
Discount is always applied on marked price.
Profit = SP - CP
VAT is applied on Selling Price
SP = 10170/113 x 100 = 9000
If profit is 20% then :
CP = 9000/120 x 100 = 7500
MP = 9000/90 x 100 = 10000
For 12% profit, SP = 7500 x 112/100 = 8400
=> SP = 8400/10000 x 100 = 84% of MP
=> Discount = 16% of MP
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. -7.5 and 5.4
Answer:
-2.1
Step-by-step explanation:
because -7.5 + 5.4 = -2.1
Last month, Seth made money by selling stocks. His investment income was $401. This month, Seth's investment income is - $261. what does this mean
Answer:
This means that because of this month Seth's investment income has decreased by 261, and now is $140.
401-261=140
Answer:Seth lost money
Step-by-step explanation:
Since the investment income was $401
And now is -261 meaning that Seth lost money last month
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 23-1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x-7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?
2x14x-6: 22.0 inches
2x14x-6; 32.5 inches
4(2x+4x-6) 88.0 inches
4(2x +48-6:) 130.0 inches
Answer:
D. 4(2x² + 4x - 6); 130.0 inches
Step-by-step explanation:
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?
2x2+4x−6; 22.0 inches
2x2+4x−6; 32.5 inches
4(2x2+4x−6;) 88.0 inches
4(2x2+4x−6;) 130.0 inches
Perimeter of a square = 4 * side length
1- First square pillow
length = 2x²+1 in
Perimeter of first pillow = 4 * (2x²+1) in
Second square pillow
length = 4x-7 in
Perimeter of second pillow = 4(4x-7) in
Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow
Total ribbon length required = 4(2x²+1) + 4(4x-7)
Factorise
4 is the common factor
=4(2x²+1)+(4x-7)
=4(2x²+1+4x-7)
=4(2x²+4x-6)
Total ribbon length required=4(2x²+4x-6)
If x=3.5
Total ribbon length required=4(2x²+4x-6)
=4{2(3.5)²+4(3.5)-6}
=4{2(12.25)+14-6)
=4(24.5+14-6)
=4(32.5)
=130.0 inches
bruce and krista are going to buy a new furniture set for their living room. they want to buy a couch, a coffee table, and a recliner. they have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. how many different furniture combinations are possible? PLEASE ANSWER
Answer:
180
Step-by-step explanation:
This is becuase 4*5*9 is equal to 180, to find the total number of combinations, you multiply how many of each there are.
If the lateral surface area of a cube is 100 square inches, what is the length of an edge?
Answer:
Length of an edge=4.0825 inches
Approximately 4.1 inches
Step-by-step explanation:
Lateral surface area of a cube=100 square inches
There are 6 square surfaces on a cube.
6a^2=surface area of a cube
6a^2=100
Divide both sides by 6
a^2=100/6
a^2=16.6667
Find the square root of both sides
√a^2=√16.6667
a=√16.6667
x=4.0825 inches
Length of an edge=4.0825 inches
Answer:
2√5
Step-by-step explanation:
I got it correct on founders edtell
When computing the standard deviation, does it matter whether the data are sample data or data comprising the entire population? Explain. Yes. The formula for s is divided by n, while the formula for σ is divided by N − 1. Yes. The formula for s is divided by n − 1, while the formula for σ is divided by N. No. The formula for both s and σ is divided by n − 1. No. The formula for both s and σ is divided by N.
Answer:
Yes. When computing the sample standard deviation, divide by n −1. When computing the population standard deviation, divide by N
Step-by-step explanation:
5 more than 2 times a number
Answer:
5+ 2x
Step-by-step explanation:
lets say x is our variable therefore you will multiply 2 to x and then it says 5 more the key word is more therefore you add 5 to your equation
Select the correct answer. Which triangles in the diagram are congruent? A. triangle 1 and triangle 2 B. triangle 1, triangle 2, and triangle 3 C. triangle 1 and triangle 3 D. triangle 1, triangle 3, and triangle 4
Answer:
Triangle 1 and 3
Step-by-step explanation:
Based on a Congruent rule Side angle side :
In triangle 1 and triangle 3 are congruent by side angle side .
Therefore, the answer is triangle 1 and triangle 3.
Answer:
C.
Step-by-step explanation:
I got it right on Plato
please help me.. thanks if you do
Answer:
B
Step-by-step explanation:
We can graph the line using the y and x-intercepts. To find the y-intercept, we substitute x = 0 into y = -2x - 2 so the y-intercept is (0, -2). To find the x-intercept, we substitute y = 0 into y = -2x - 2 so the x-intercept is (-1, 0). The line that goes through both of these points is line B.
Answer:
B.
Step-by-step explanation:
Here's a picture of me graphing it:
Sorry for dark mode :/
4/5x - 1/10 = 3/10
what is the value of x ?
Answer:
x = 1/2Step-by-step explanation:
[tex]\frac{4}{5}x-\frac{1}{10}=\frac{3}{10}\\\\\mathrm{Add\:}\frac{1}{10}\mathrm{\:to\:both\:sides}\\\\\frac{4}{5}x-\frac{1}{10}+\frac{1}{10}=\frac{3}{10}+\frac{1}{10}\\\\\frac{4}{5}x=\frac{2}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\5\times \frac{4}{5}x=\frac{2\times \:5}{5}\\\\4x=2\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}=\frac{2}{4}\\\\x=\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
isolate variable
solve
CAN ANYONE HELP ME WITH THIS QUESTION...Plzz
Answer:
AO and OC
x+8 and 16-x
x+8 = 16-x
x+x= 16-8
2x= 8
x= 8/2
x=4
DO and OB
2y+13 and 5y+4
2y+13 = 5y+4
2y-5y= 4-13
-3y = -9
y= 9/3
y= 3
Step-by-step explanation:
i hope this helps
if this helps let me know
Answer:
Step-by-step explanation:
2y + 13 = 5y + 4 { diagonals of a rhombus bisect each other }
by transposing,
2y - 5y = 4 - 13
-3y = -9
both the minus signs get cancelled,
3y = 9
y = 9/3
y = 3
x + 8 = 16 - x { diagonals of a rhombus bisect each other }
again by substituting,
x + x = 16 - 8
2x = 8
x = 8/2
x = 4
∴ x = 4 and y = 3
hope this helps
plz mark s brainliest!!!!!!!
2(2x-5y)(3x+4y)-6(2x-5y)(x-y) factorise by taking out the common factors
Answer:
Factorise : 2(2x-5y)(3x+4y)-6(2x-5y)(x-y). = (2x-5y){2(3x+4y) - 6(x-y)}. = (2x-5y) × 14y. = (2x-5y) × 14 × y. Answered by Yasmeen Khan | 22nd ...
Step-by-step explanation:
What is the value of the expression below when y = 2 and z
8?
8y - 2
A
Step-by-step explanation:
HELP PLSSSSSSSS ( needed 20 characters)
Answer:
A
Step-by-step explanation:
It have the same sides!
what is the expression of 28 19/100
Answer:
the mixed form is 28 [tex]19/100[/tex]
the improper form is ( 28 x 100) = 19 / 100
2819 / 00
A boy is twice as tall as his little sister and he is 30 cm shorter than his father. The
combined height of these three family members is 3.8m.Write an appropriate
equation, using h' as the sister's height and use this to find the boy's height in cm.
Boy = x
His Sister = y
Father = z
x = 2*y
y = x/2
x = z-30 or z = x+30
3.8 m = 380 cm
x+y+z = 380
x + x/2 + x+30 = 380
multiply by 2
2x +x + 2x +60 = 760
5x = 700
x = 140 cm
y = x/2
= 140 /2 = 70 cm
z = x+30
= 140 + 30 = 170 cm
There
x (Boy) = 140 cm
y (His Sister) = 70 cm
z (Father) = 170 cm
Using an appropriate equation, the boy's height is 140 cm.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let Boy = x and His Sister = y
Father = z
So, x = 2*y
y = x/2
x = z-30 or z = x+30
Now, substitute
3.8 m = 380 cm
Equation form;
x+y+z = 380
x + x/2 + x+30 = 380
then multiply by 2
2x +x + 2x +60 = 760
5x = 700
x = 140 cm
Thus,
y = x/2 = 140 /2 = 70 cm
z = x+30 = 140 + 30 = 170 cm
There are x (Boy) = 140 cm
y (His Sister) = 70 cm
z (Father) = 170 cm
Hence, Using an appropriate equation, the boy's height is 140 cm.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ5
El siguiente diagrama A, B, C, D, E, F denotan islas, y las líneas de unión son puentes. El hombre empieza en A y camina de isla en isla. El hombre no puede cruzar el mismo puente dos veces. Hallar el número de maneras que puede hacer su recorrido antes de almorzar.
A-B-C-D
E-F
A esta conectado a B, B a C y C a D. B está conectado a E, C esta conectado a F y hay una linea que conecta E y C
Answer:
hey good
Step-by-step explanation:
I need help on this question please
Answer:
12 inches
Step-by-step explanation:
Volume of cone = (πr²h)/3
Volume of cone= 113.04 cubic inches
π = 3.14 r= 3 inches
113.04 = [(3.14)(3²)(h)]/3
113.04= 9.42h
h=12 inches
Which equation can be used to solve for x in the following diagram? Choose 1 answer. 2x° degrees, 4x° degrees, 150° degrees
Answer:
The answer is option D.
Step-by-step explanation:
Hi, there!!!
Here, if you closely look this figure, you will find that AB and CD are interested at a point O.
now, OP is just a line constructed from point "O".
now, 2x°+4x°=150°.....is equation.
{Because, They are vertically opposite angle}
When two st. line intersects at a point then the abgle formed oppositely are equal.
Hope it helps..
What is the approximate volume of the whole sphere? Use pie=3.14 and round to the nearest whole cubic unit.
a. 42 cubic units
b. 126 cubic units
c. 4,187 cubic units
d. 73,385 cubic units
if you could awnser this as soon as possible that would be great :)
Answer:
c. 4187 cubic units
Step-by-step explanation:
V = 4/3 π r³
= 4/3(3.14)(10)³
= 4186.6666666
Complete the point-slope equation of the line through (8,−8) (9,8) Use exact numbers. y-8=
Answer:
y-8=16(x-9)
Step-by-step explanation:
slope m=y2-y1/x2-x1
m=8+8/9-8 ⇒ m=16
y-8=m(x-x1)
y-8=16(x-9)
The equation of the line that is passing through (8, −8) and (9, 8) will be y = 16x − 120.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The points are given below.
(8, −8) and (9, 8)
The equation of the line that is passing through (8, −8) and (9, 8) will be given as,
(y + 8) = [(8 + 8) / (9 − 8)](x − 8)
Simplify the equation, then we have
(y + 8) = [(8 + 8) / (9 − 8)](x − 8)
(y + 8) = 16(x − 8)
y + 8 = 16x − 128
y = 16x − 120
The equation of the line that is passing through (8, −8) and (9, 8) will be y = 16x − 120.
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
#SPJ2
What is the value of m that makes the equation true? 18m- 2+ 7m- 8= -60
Answer:
m = -2
Step-by-step explanation:
First, let's move all variables to one side of the equation. (Don't forget to change the signs when you move the numbers to the other side.)
18m + 7m = -60 + 2 + 8
Now we simplify to get this:
25m = -50
Now we divide -50 by 25 which gets us -2.
Therefore, m = -2
Hope this helps!
Please I need your help. Answer the questions following the grammar rules.
1. How much money do you spend a month on shopping?
2. Who do you normally go shopping with?
3. Do you enjoy shopping? Why? Why not?
4. Do you buy things on the internet? Why? Why not?
Answer:
Question 1: $100
Question 2: Myself
Question 3: Yes, because you get to buy things you might have been wanting, or saving up for.
Question 4: Yes, because its an easier way of shopping, and gets sent straight to your home.
Step-by-step explanation:
Hope this helps.
NEED HELP..... Select the polynomial that is a perfect square trinomial. 36x^2 − 4x + 16 16x^2 − 8x + 36 25x^2 + 9x + 4 4x^2 + 20x + 25
===============================================
Explanation:
Perfect square trinomials are in the form (a+b)^2 = a^2+2ab+b^2
So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.
Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.
-------------
(a+b)^2 = a^2+2ab+b^2
(2x+5)^2 = (2x)^2+2*2x*5+5^2
(2x+5)^2 = 4x^2 + 20x + 25
Answer:
(2x+5)² or (2x+5)(2x+5)
Step-by-step explanation:
4x²+ 20x + 25
(2x ) (2x ) first step 2x*2x=4x²
(2x + 5 )(2x + 5 ) the constant sign is plus so it can be ( minus × minus=plus OR plus×plus=plus) look at the middle value it is positive so the two signs are positive or plus sign.
(2x+5)²
Mia’s house and her aunt’s house are 15.4 inches apart on the map. If every 4 inches on the map represents 10 miles, what is the actual distance from Mia’s house to her aunt’s house, to the nearest tenth of a mile? 2.6 6.2 38.5 61.6
Answer:
38.5 miles
Step-by-step explanation:
We know that the distance between Mia's house and her aunt's house is 15.4 inches apart.
We also know that every 4 inches on the map represent 10 miles.
4 inches = 10 miles
Divide :
1 inch = 2.5 miles
Multiply the shown distance in the question by the amount of miles per inch
15.4 * 2.5
= 38.5 miles in total.
Answer:
C.)38.5
Step-by-step explanation:
It took the exam:P
20 POINTS AND BRAINLIEST!! Which of the following statements can be supported by the evidence shown in the graph?
A. The line best fit shows a positive correlation between month number and minutes
B. The line of best fits shows a negative correlation between the number of months and the number of minutes
C. The line of best fits shows no correlation between the month number and the number of minutes
Answer:
B. The line of best fits shows a negative correlation between the number of months and the number of minutes
Step-by-step explanation:
In a scatter plot, when the data points are clustered along the line of best fit, it shows a trend, and it implies there's a correlation between the x-variable and the y-varisble.
Also, when the line of best fit slopes upward, from your left to your far right, it shows a positive correlation between the variables on the x-axis and y-axis.
On the other hand, if the line of best fit slopes downwards, from your left down to your right, this shows a negative correlation.
Thus, considering the line of best fit in the question, the line of best fit shows a negative correlation between the number of months and the number of minutes. The line of best fit slopes downwards, from your left to your right.
This shows that, as month number increases, number of minutes decreases.
A square of side 40 cm and a rectangle of length 50 cm has the same perimeter. Which has greater area? Please write the answer with steps.
Answer:
[tex]\huge\boxed{The\ area\ of\ square\ is\ greater.}[/tex]
Step-by-step explanation:
Perimeter of Square:
P = 4(Length)
P = 4(40)
P = 160 cm
This means that the rectangle also has a perimeter of 160 cm
So, Finding the width of rectangle by Perimeter formula:
2L + 2W = Perimeter
2(50) + 2W = 160
100 + 2W = 160
Subtracting 100 to both sides
2W = 60
Dividing both sides by 2
W = 30
Now, Area of Square:
Area = Length * Length
Area = 40 * 40
Area = 1600 cm²
Area of Rectangle:
Area = Length * Width
Area = 50 * 30
Area = 1500 cm²
When we compare both of the area of the figure, we come to know that the area of square is greater.
