Answer:
21 windows
Step-by-step explanation:
collen family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and collen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?
Answer: Let the number of window Collen father would paint be a while that of her mother be b. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father a = 2b
Let the number of windows that would be needed to be painted each by Colleen and her 2 brothers be c because they would paint the equal number of windows.
The total number of windows to be painted = 2b + b + c + c + c = 3b + 3c = 3(b + c).
Collen painted 7 windows as her mother and her own share which is one less than the fathers share. Therefore b + c = 7.
Also the fathers share a = 2b = 7 + 1 = 8 windows. Therefore b = 4 which is the mother share
Therefore the total number of windows = 3(b + c) = 3(7) = 21 windows
3b + 3c = 21
3(4) + 3c = 21
12 + 3c = 21
3c = 21 - 12
3c = 9
c = 3 which is collen and her brothers share
The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $4,224.00 for 264 square feet, what is the size of a kitchen that costs $3,824.00?
Answer:
239 ft².
Step-by-step explanation:
Let P represent the price for tiling.
Let S represent the size of the room.
From the question,
Price (P) varies directly as the size (S) i.e
P & S
P = KS
Where K is the constant of proportionality.
Next, we shall determine the value of K as follow
Price (P) = $ 4224
Size (S) = 264 ft²
Constant of proportionality (K) =?
P = KS
4224 = K × 264
Divide both side by 264
K = 4224/264
K = 16
Finally, we shall determine the size of the kitchen that will cost $ 3824 for tiling.
This is illustrated below:
Price (P) = $ 3824
Constant of proportionality (K) = 16
Size (S) =?
P = KS
3824 = 16 × S
Divide both side by 16
S = 3824/16
S = 239 ft²
Therefore, the size of the kitchen is 239 ft².
pls help. A granola mix sells for $8.99 a pound. Tung wants to buy a bag of granola mix that weighs 7.8 pounds. The bag of granola mix will cost about $16. $17. $63. $72.
Answer:
about 72 dollars
Step-by-step explanation
"about" tells us to round our numbers. Therefore, 7.8 becomes 8. As each pound is $8.99, we multiply the two and get 71.92, which is "about" 72.
Answer:
$72
Step-by-step explanation:
To find the cost, multiply the price per pound by the number of pounds.
8.99(7.8)
= 70.12
This is closest to $72
A manufacturing company is expected to pay a dividend of br. 1.25 per share at the end of the year (D1=br.1.25). The stock sells for br. 32.50 per share and its required rate of return is 10.5%. The dividend is expected to grow at some constant rate forever. What is the growth rate
Answer:
the equilibrium expected growth rate is 6.65%
Step by step Explanation:
We were given stock sold per share of $32.50
Dividend per share =$1.25
Required Return rate = 10.5%
Then we can calculate Percentage of Dividend for share as;
dividend of br. 1.25 per share at the end of the year (D1=br.1.25)
= 1.25×100= 125
Let the dividend percentage = y
stock sold per share × y= 125
125= 32.50y
y = 125/32.50
y= 3.85
y= 3.85*100%
Then the Dividend percentage = 3.85%
Growth rate=(required rate of return -Dividend percentage)
= 10.5 - 3.85 = 6.65
Therefore, the equilibrium expected growth rate is 6.65%
find 5 rational numbers between -3 and -4
Answer:
-3.2, -3.4, -3.6, -3.8, -3.9
Step-by-step explanation:
Hey there!
Well rational numbers can be a decimal as long as it can be turned into a fraction, meaning 3.5 is a rational number.
So rational numbers between -3 and -4 are,
-3.2, -3.4, -3.6, -3.8, -3.9
Hope this helps :)
For example:
-3.5
-3.0040012
-3.(91)
-3.70(77)
-15/4
the length of rectangle is 6/5 of its breath and perimeter is 132 m find area of rectangle
Answer:
1,080 meters squared.
Step-by-step explanation:
Let's say the breadth of the rectangle is x. That means the length of it is 6/5x.
The perimeter is 132 meters. The formula for the perimeter is 2 times the breadth plus two times the length.
2(x) + 2(6/5x) = 132
2x + 12/5x = 132
10/5x + 12/5x = 132
22/5x = 132
22x = 660
x = 30.
That means that the breadth of the rectangle is 30 meters, and the length is (6/5) * 30 = 6 * 6 = 36 meters.
The formula for the area of the rectangle is the breadth times the length, so the area is 36 * 30 = 1,080 meters squared.
Hope this helps!
Calculate YZ if WY = 25, XY = 23, and VZ = 35
Answer:
WY= 25
XY= 23
VZ=36
so,
WY/XY = YZ/VZ
25/23 = YZ/25 (then do cross multiply)
25×25 = 23 × YZ
625= 23 × YZ
625/23= YZ
27,17= YZ
#i'm indonesian
#hope it helps.
Answer:
[tex]\huge \boxed{13.04}[/tex]
Step-by-step explanation:
The triangles are congruent, we can use ratios to solve.
WY/XY = (WY+YZ)/VZ
Let the length of YZ be x.
25/23 = (25+x)/35
Cross multiply.
23(25+x) = 25 × 35
575 + 23x = 875
Subtract 575 from both sides.
575 + 23x - 575 = 875 - 575
23x = 300
Divide both sides by 23.
(23x)/23 = 300/23
x = 13.0434782609...
At which times could rory phone have been plugged into the charger?select three options
Answer:
9hrs 11hrs 19hrs
Step-by-step explanation:
just took the quiz on edge 2020
Answer:
9 hours, 11 hours, 19 hours.
Find the radius of a circle that has an area of 6.76 cm². Use it for pi.
Answer:
radius = 1.47 cmStep-by-step explanation:
Area of a circle = πr²
where
r is the radius
From the question
Area = 6.76 cm²
To find the radius substitute the value of the area into the above formula and solve for the radius
That's
[tex]6.76 = \pi \: {r}^{2} [/tex]
Divide both sides by π
We have
[tex] {r}^{2} = \frac{6.76}{\pi} \\ r = \sqrt{ \frac{6.76}{\pi} } [/tex]
r = 1.46689291
We have the final answer as
radius = 1.47 cm
Hope this helps you
A store sold 50 copies of a magazine for $150. Each copy of the magazine costs the same. Which equation and set of ordered pairs best represents the price, in dollars, of a certain number of copies of the magazine? (1 point) Select one: a. Y = 3x; (1, 3), (2, 6), (3, 9) b. Y = 4x; (1, 4), (2, 8), (3, 12) c. Y = 5x; (1, 5), (2, 10), (3, 15) d. Y = 6x; (1, 6), (2, 12), (3, 18) Plz answer quick!
Answer:
Option a. Y=3x
Step-by-step explanation:
Let us use cross multiplication method.
Let the cost of 1 magazine be x.
No. of copies Cost
1)50 $150
2)1 x
50x=150 x 1 equation(1)
x=150/50
x=$3
Now see equation (1),
150=50x
150=50 x 3
Here let us represent the cost as y and no. of copies as x.
Y=3x
Therefore, a. Y=3x is the right answer.
Thank you!
(08.02)How many solutions are there for the system of equations shown on the graph? No solution One solution Two solutions Infinitely many solutions
Answer: Infinitely many solutions
Step-by-step explanation:
There are many solutions because the lines lies on top of each other.
i dont know the exact answer but its not
One solution
Two solutions
so its most likely
Infinitely many solutions
The sum of three consecutive numbers is greater than 40. The inequality that represents this is x+x+1+x+2>40. Which value of x hold true for the inequality?
Answer:
x can be any integer greater than 12.
Step-by-step explanation:
x + x + 1 + x + 2 > 40
3x + 3 > 40
3x > 37
x > 12 1/3
x can be any integer greater than 12.
Given the range (1, 1),(4,2), (2, -1), with a coordinate transformation of f(x, y) = (x+1, y-1), what is the
domain?
=============================================
Explanation:
The rule f(x,y) = (x+1,y-1) says to add 1 to the x coordinate and subtract 1 from the y coordinate. So let's say the input point is (7,2). This would move it to (8,1).
Now let's say that you accidentally erased the "(7,2)", but you still have the "(8,1)". You'd have to work through the steps backwards to get back to (7,2)
So you'll effectively use this rule g(x,y) = (x-1, y+1) which is the inverse transformation. Whatever f(x,y) does, the g(x,y) function will undo it and go opposite. We'll subtract 1 from the x coordinate and add 1 to the y coordinate.
------------
So that's what we'll do with the set of points { (1,1), (4,2), (2,-1) }
We have (1,1) become (0,2) after applying the g(x,y) rule
(4,2) becomes (3,3) after using g(x,y)
(2,-1) becomes (1,0) after using g(x,y)
Therefore, the domain is { (0,2), (3,3), (1,0) }
-------------
The mapping diagram is shown below.
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 4 centimeters long, and the height of the equilateral triangle is 3.5 centimeters. The pyramid's slant height is 8 centimeters. What is its surface area?
Answer:
The surface area is 55 cm².
Step-by-step explanation:
The formula to compute the surface area of the triangular pyramid is:
[tex]SA=(0.50\times \text{Base Perimeter}\times h)+\text{Base Area}[/tex]
Here h is the slant height.
Compute the Base perimeter as follows:
Perimeter of the equilateral triangle = 3 × side
= 3 × 4
= 12 cm
Compute the Base area as follows:
Area of the equilateral triangle = 0.50 × side × height
= 0.50 × 4 × 3.50
= 7 cm²
Compute the surface area as follows:
[tex]SA=(0.50\times \text{Base Perimeter}\times h)+\text{Base Area}[/tex]
[tex]=(0.50\times 12\times 8)+7\\=48+7\\=55\ \text{cm}^{2}[/tex]
Thus, the surface area is 55 cm².
how many are 1 raised to 3 ???
Answer:
1
Step-by-step explanation:
1^3
This is 1 multiplied by itself 3 times
1*1*1
1
Suppose that F(x) = x? and g(x) = -3x? Which statement best compares the
graph of G(x) with the graph of F(x)?
Answer:
flipped over the x-axis and stretched verticallyStep-by-step explanation:
Multiplying y by a value greater than 1 results in a vertical stretch. When the sign of it is negative there is a reflection over the x-axis. The appropriate choice is shown below.
__
The second attachment shows how the graph is flipped and stretched.
What is the simplified expression for 22 • 2?
24
O 20
021
O 22
0 23
2^1 would be the answer.
2^2 x 2^3 is 32
2^4 is 16
32/16 is 2
2^1 is 2 so the answer is 2^1
Answer:
2¹
Step-by-step explanation:
When multiplying exponents of the same base, you can simply add the exponents together so 2² * 2³ = 2⁽²⁺³⁾ = 2⁵. When dividing exponents of the same base, you can simply subtract the exponents so 2⁵ / 2⁴ = 2⁽⁵⁻⁴⁾ = 2¹.
A highway measuring 90 feet x 7 feet requires 1/2 a fluid ounce of cleaning situation per square root how much cleaning situation is required to clean the hallway
Answer:
1260 ounce of the fluid.
Step-by-step explanation:
Dimension of hallway = 90 feet × 7 feet
Area of the hallway = 90 × 7
= 630 square feet
Given that 1/2 (0.5) of a fluid ounce is required per square foot, the amount of cleaning situation to clean the hallway can be determined as;
= [tex]\frac{area of hallway}{cleaning situation per foot}[/tex]
= [tex]\frac{630}{0.5}[/tex]
= 1260 ounce
The amount of cleaning situation required to clean the hallway is 1260 ounce of the fluid.
PLEASE help me with this question! No nonsense answers please. This is really urgent.
Answer:
15.6 ft²
Step-by-step explanation:
Given:
Radius (r) of circle = 5.7 ft
m<CBD = 55°
Required: Area of the shaded sector
SOLUTION:
Area of shaded sector = θ/360*πr²
Where,
θ = 55°
π = 3.14
r = 5.7 ft
Plug in your values
[tex] Area = \frac{55}{360}*3.14*5.7^2 [/tex]
[tex] Area = \frac{55}{360}*3.14*32.49 [/tex]
[tex] Area = 15.59 [/tex]
Area of shaded sector to nearest tenth = 15.6 ft²
Answer:
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Step-by-step explanation:
u suck balls
What’s the function of the Unit Circle and why is it called the unit Circle?
Answer:
It is a unit of radius that is radius of 1. Thus, the distant to the middle to any edge is always 1.
Step-by-step explanation:
Rearrange the equation so x is the independent variable. y+6=5(x-4)
Answer:
x = (y + 26)/5
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
y + 6 = 5(x - 4)
Step 2: Distribute
y + 6 = 5x - 20
Step 3: Isolate x
y + 26 = 5x
Step 4: Isolate variable x
(y + 26)/5 = x
Step 5: Rewrite
x = (y + 26)/5
Answer:
y = 5x - 26
Step-by-step explanation:
Since x is the independent variable, you have to solve for y.
y + 6 = 5(x-4)
Now distribute:
y + 6 = 5x - 20
subtract the 6 from both sides
y + 6 - 6 = 5x - 20 - 6
y = 5x - 26
HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2
(5x − 1)(x + 4) 2(5x − 4)(x + 1) 2(5x + 2)(x − 2) 2(5x − 2)(x + 2)
Answer:
2(5x - 4)(x + 1)
Step-by-step explanation:
10x^2 + 2x − 8 =
First, factor out the GCF of all terms which is 2.
= 2(5x^2 + x - 4)
5x^2 factors into 5x and x.
= 2(5x )(x )
-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.
= 2(5x - 4)(x + 1)
Answer:
[tex]\large \boxed{2(5x-4)(x+1)}[/tex]
Step-by-step explanation:
[tex]10x^2 + 2x - 8[/tex]
Rewrite 2x as 10x - 8x.
[tex]10x^2 + 10x-8x - 8[/tex]
Factor out the two groups.
[tex]10x(x+1)-8(x+1)[/tex]
Take x+1 as a common factor.
[tex](10x-8)(x+1)[/tex]
Factor 10x - 8.
[tex]2(5x-4)(x+1)[/tex]
Camila llama a cuatro compañeras y les informa sobre una campaña de recoleccion de alimentos. Cada una de estas amigas llama a otras cuatro amigas para contarles sobre la campaña, y luego estas llaman a 4 nuevas amigas.¿cuantas amigas se enteran de este llamado?
Answer:
El total de amigos que se enteran del es 84 amigos.
Step-by-step explanation:
Camila llama a cuatro acompañantes y les informa sobre una colecta de alimentos. Cada uno de estos amigos llama a otros cuatro amigos para contarles sobre la campaña, y luego llaman a 4 nuevos amigos. ¿Cuántos amigos se enteran de esta llamada?
El número de compañeros que llamó Camila = 4 amigos
Cada uno de los cuatro amigos llamó a otros cuatro amigos para hacer = 4 × 4 = 16 amigos
Cada uno de los dieciséis amigos llamó a otros cuatro amigos para hacer = 16 × 4 = 64 amigos
Por lo tanto, el número total de amigos que se enteran de la llamada para dar información sobre una colecta de alimentos = 4 + 16 + 64 = 84 amigos.
Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years.
Answer:
y = 100(3)^t
Step-by-step explanation:
Use the formula y = P(1 + r)^t where y is the new amount, P is the starting amount, r is the rate as a decimal, and t is the time.
Plug in the values given:
y = 100(1 + 2)^t
y = 100(3)^t
Answer:
Step-by-step explanation:
y = 100(3)^t
4 > - 4404 true or false
Answer:
True
Step-by-step explanation:
-4404 is always smaller than 4Answer:
true as positive are bigger than negetive
Step-by-step explanation:
Is f(x) =(x+5)2 a function, an odd function, both or neither
Explanation:
f(x) = (x+5)^2 = x^2+10x+25 = x^2+10x^1+25x^0
The exponents for that last expression are 2, 1, 0
The mix of even and odd exponents in the standard form means f(x) is neither even nor odd. We would need to have all exponents even to have f(x) even, or have all exponents odd to have f(x) be odd.
The side of an Equileteral triangle is 12cm. What is its Area?
Answer:
A = 62.35 cm²
Step-by-step explanation:
Use the area formula A = [tex]\frac{\sqrt{3}a^2}{4}[/tex], where a is the side length.
Plug in the values:
A = [tex]\frac{\sqrt{3}(12^2)}{4}[/tex]
A = [tex]\frac{\sqrt{3}(144)}{4}[/tex]
A = 62.35 cm²
(x - y) + 2y + x3, when x = -3 and y=7
plss help
What is the radical equivalent for 197^7/8?
Answer:
[tex]\sqrt[8]{197^{7} }[/tex]
Step-by-step explanation:
[tex]\sqrt[8]{197^{7} }[/tex]
On one day, the stock of Seraj Food Technologies went up by $30\%.$ The next day, the stock fell by $30\%.$ Over the two days, the stock fell overall by $x$ percent. What is $x$?
Since the stock went up by 30% and fell by 30%, the net increase is 0%. So x = 0.
Calvin has 80 meters of fencing to enclose his rectangular garden. He wants the garden’s length to be 12 meters greater then its width. Find the length and width of the garden.
a) 12m x 28m
b) 14m x 26m
c) 12m x 24m
d) 18m x 22m
Pls help!
Answer:
a
Step-by-step explanation:
a because when you divide 80 by 12 you get 28, so then it is 12 x 28m. :/
Answer:
Width W = 14 m
Length L = 26 m
Step-by-step explanation:
Perimeter of a rectangle = 80 m = 2L + 2W
L = 12 + W
80 = 2L + 2W
80 = 2(12 + W) + 2W
80 = 24 + 2W + 2W
80 - 24 = 4W
56 = 4W
W = 56 / 4
W = 14 m
L = 12 + W
L = 12 + 14
L = 26 m
check:
80 = 2L + 2W
80 = 2(26) + 2(14)
80 = 52 + 28
80 = 80 ---- OK
