1. Natoy's rectangular swimming pool has the length of 3m more than thrice its
width. What are the dimensions of the pool if it has an area of 216m2?
Width (w)
Length (/) = 3w + 3
Answer:
Step-by-step explanation:
Given
Natoy's rectangular swimming pool has the length of 3m more than thrice its
width.
Width=w
Length =3w+3
So
Area of the rectangular swimming pool=length×width
216=(3w+3)×w
216=3w^2+3w
3w^2+3w-216=0
3(w^2+w-72)=0
W^2+w-72=0
W^2+(9-8)w-72=0
W^2+9w-8w-72=0
W(w+9)-8(w+9)=0
(W+9)(w-8)=0
Sotwo value of w are 8,-9
We take positive value for rectangular swimming so we take w=8m
Width=8m
Length=3×8+3
= 24+3
=27m
Sophie bikes s miles per hour. Her friend, Rana, is slower. Rana bikes r miles per hour.
c
Rana and Sophie went for a 20-mile bike ride today. Each girl biked at her usual speed. How long did Sophie wait for Rana at the end of the route?
Answer:
C x 20 + R x 20
Step-by-step explanation:
C x 20 + R x 20 or
20c + 20r
Which equation is represented by the graph below?
Answer:
y=-1/2x+2
the y-intercept is at 2 and the slope is -1/2
meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction
A function f(x)is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box.
f(x)=
Answer:
[tex]f(x)=2x+1[/tex]
Step-by-step explanation:
At x=0, the y is at 1
at x=1, y went up to 3
the change between 3 and 1 is 2 therefore the equation is
[tex]f(x)=2x+1[/tex]
I hope this helps you and good luck!
- klhat percentage of 40 is 8?
Step-by-step explanation:
8/40 x 100% = 20%
Topic: percentage
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
The width of a rectangle is its length. The perimeter of the rectangle is 300 ft. What is the length, in feet, of the rectangle?
Answer:
It's simple. All you need to do is subtract 2 from 40.
Length: 40 ft
Width: 38 ft
Hopefully that helped! :)
Step-by-step explanation:
What is the quotient of x and three increased by 12 = 20
Answer:
x= 24
Step-by-step explanation:
Quotient means divide, increased means add
x/3 + 12 =20
Subtract 12 from each side
x/3 +12-12 = 20-12
x/3=8
Multiply each side by 3
x/3 * 3 =8*3
x= 24
Answer:700 / n, the quotient of 700 and a number. 2w, two times a ... h - 3, three less than a number ... 20 + m, 20 more than a number. x - 12, a number decreased by 12.
Step-by-step explanation:
find the area of the figure. (sides meet at right angles.) 2m 2m 2m 2m 3m 7m 7m 7m
A train leaves New York traveling at a speed of 90 km/hr. How much distance will it cover in five hours?
Answer:
450 Km
Step-by-step explanation:
90 Km/hr x 5 hr = 450 Km
I hope this helped and good luck!
Answer: Distance= 450km
Step-by-step explanation:
90 times 5= 450
In the equation, 3b+4=7, what is the 4
Answer:
constant
Step-by-step explanation:
3 is the coefficient, b is the variable, 4 and 7 are the constants.
Find the area of the circle.
Answer:
8.938
Step-by-step explanation:
Answer:
dont at me if its wrong but i think its the second one
Step-by-step explanation:
Solve the equation
5(4+t) = 5t + 20
Answer:
it is infinite solutions
Step-by-step explanation:
because 20+5t=20+5t even if you put any number as the variable
Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has.
If r is 23 cup, how many batches of cookies can Tyra make?
Enter your answer in the box.
Answer:
hold on almost got it
Step-by-step explanation:
Answer:
19
i dont need any code or stuff
i just wan to help
You guys are life savers but does anyone know the answers to these questions? I’m so confused rn
Answer:
The third choice
Step-by-step explanation:
We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be [tex]\frac{3}{-1}[/tex] , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.
What is the domain of the function in this table
The main fuction is mulitiply by 2 each 1 point
Step-by-step explanation:
ANSWER NOW TO GET BRAINLY!!!!!
Answer:
d
Step-by-step explanation:
cause it is d o.49
Consider the equations shown: ax + by = ab & 2ax + 3by = 3b
Which of these is the value of y in terms of a?
Option 1 : y = 3a – 35
Option 2 : y = 2ab – 3b
Option 3 : y = 9a – 35
Option 4: y = 3 – 2a
Answer: [tex]y=3-2a[/tex], Option 4
Step-by-step explanation:
[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]
multiply 2 at [tex]ax+by=ab[/tex]
[tex]2ax+2by=2ab[/tex]
subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]
[tex]by=3b-2ab[/tex]
[tex]y=3-2a[/tex]
de un numero se sabe que si a su cuadrado le restamos su mitad, se obtiene el mismo numero, Cuál es?
Answer:
2
Step-by-step explanation:
el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2
Answer: 2
Step-by-step explanation : el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2 Espero que ayude Ten un día maravilloso :)
The table shows the prices of some candy items at a store. Jake selected 1.6 pounds of Fruit Chews and 2.6 pounds of Jelly Beans. The sales tax for his purchase was $0.52. .Item. .Price Per Pound. .Fruit Chews. $4.70 .Jelly Beans. $2.35 .Chocolate. $3.50 .If Jake had $25 to spend at the candy store, how much money did Jake have left after his purchase?
Answer:
The amount of money Jake had left after his purchase is $10.85
Step-by-step explanation:
The amount of Fruit Chews Jake selected = 1.6 pounds
The amount of Jelly Beans Jake selected = 2.6 pounds
The sales tax = $0.52
The amount of money Jake had to spend = $25
The table of values are;
Price Per Pound [tex]{}[/tex]
Fruit Chews = $4.70
Jelly Beans = $2.35
Chocolate = $3.50
The amount of money Jake had to spend $25
The total amount of the candies Jake bought = 1.6 × $4.70 + 2.6 × $2.35 = $13.63
The total amount Jake spent = The total amount of the candies Jake bought + The sales tax
The total amount Jake spent = $13.63 + $0.52 = $14.15
The amount of money Jake had left after his purchase = The amount of money Jake had to spend - The total amount Jake spent
The amount of money Jake had left after his purchase = $25 - $14.15 = $10.85
The amount of money Jake had left after his purchase = $10.85.
f(x) = − 1
2
x for x = –6
Answer:
Your an idiot and i oop hahahahah thats what u did on my question. YOUR AN IDIOT UR A IDIOT U SUCK.
Step-by-step explanation:
What is the value of x?
What is the value of y?
answer:
y=4
Step-by-step explanation:
given
DG=GF
10y-4=7y+8
3y-4=8 (subtract both side by 7y)
3y=12 (add both side by 4)
y=12/3
y=4 (ans)
I need help with both of these
Answer:
12) 0.01 meter
13) B is the correct
Step-by-step explanation:
BD bisects m m Find m
The text of the question is not visible in the answering window. I'll reproduce it here:
BD bisects <ABC.
m <ABD= 2.5x + 8.6
m<CBD = 3.5x - 3.4
Find m<ABC
Answer:
[tex]m\angle ABC = 77.2^\circ[/tex]
Step-by-step explanation:
We have an angle ABC and a line BD bisecting it.
If an angle is bisected, then the two formed angles are congruent, that is
[tex]m\angle ABD=m\angle CBD[/tex]
Substituting the algebraic expressions for both angles:
[tex]2.5x + 8.6=3.5x - 3.4[/tex]
Subtracting 8.6 and 3.5x:
[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]
Operating:
[tex]-x = -12[/tex]
[tex]x = 12[/tex]
The two angles are:
[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]
[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]
As expected, both angles have the same measure.
The measure of the total angle ABC is twice any of those:
[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]
[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]
I really need help on this question please it’s solve for x.round to the nearest hundredth if necessary.
Answer:
39.19
Step-by-step explanation:
sin(29°)=(19/x)
x= 19/sin(29°)
/= over
i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse
Write a linear function f with f(0) = 2 and f(2)=4.
f(x) =
Answer:
f(x) = x + 2
Step-by-step explanation:
(0, 2)
(2, 4)
Slope m = (4 - 2) / (2 - 0) = 1
y - 2 = 1(x - 0) ⇔ y = f(x) = x + 2
The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?
Answer:
6560lbs
Step-by-step explanation:
Explain how to use the distributive property to find an expression that is equivalent to 20 + 16
Answer:
What you need to do is to find a multiple of 20 and 16 in other words a number that can multiply into 20 and 16. You have 2 and you have 4. So now this is how it looks like.
Either:
4(5+4) Or
2(10+8)
Step-by-step explanation:
[tex] {2}^{m} = n [/tex]
solve
[tex] {8}^{m} - {4}^{ - m} [/tex]
Answer:
[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]
Step-by-step explanation:
Exponents Properties
We need to recall the following properties of exponents:
[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]
[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]
We are given the expression:
[tex]2^m=n[/tex]
We need to express the following expression in terms of n.
[tex]8^m-4^{-m}[/tex]
It's necessary to modify the expression to use the given equivalence.
Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:
[tex](2^3)^m-(2^2)^{-m}[/tex]
Applying the property:
[tex](2^m)^3-(2^m)^{-2}[/tex]
Substituting the given expression:
[tex]n^3-n^{-2}[/tex]
Or, equivalently:
[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]
Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?
What is the nth term rule of the linear sequence
6,13,20,27,34?
Answer:
62
Step-by-step explanation: