The length of a rectangle is 7 ft less than three times the width, and the area of the rectangle is . Find the dimensions of the rectangle.
Answer:
See explanation
Step-by-step explanation:
the length of a rectangle is 7 feet less than three times it’s width. if the area of the rectangle is 180 ft, find the dimensions of the rectangle.
Width = x
Length = 3x - 7
Area of a rectangle = length × width
180 = (3x - 7) * x
180 = 3x² - 7x
3x² - 7x - 180 = 0
Using quadratic formula
a = 3
b = -7
c = -180
x = -b ± √b² - 4ac / 2a
x = -(-7) ± √(-7)² - 4(3)(-180) / 2(3)
x = 7 ± √49 - (-2160) / 6
= 7 ± √49 + 2160 / 6
x = 7 ± √2209/6
= 7 ± 47 / 6
= (7 + 47)/6 or ( 7 - 47)/6
= 54/6 or -40/6
x = 9 or -6.67
x cannot be negative
Therefore,
x = 9 ft
Width = x = 9 ft
Length = 3x - 7
=3(9) - 7
= 27 - 7
= 20 ft
Help me solve this problem please
Answer:
C: 165mi, 40mi, 115mi
Step-by-step explanation:
hope it helps :)
Please help me in the question of commission ! Grade - 9 .
Answer:
Step-by-step explanation:
Commission for amount Rs. 5,00,00 = [tex]\frac{2}{100}*500000[/tex]
= 2* 5000
= Rs. 10,000
total commission = Rs. 32,000
Remaining commission = 32500 - 10000
= Rs. 22500
Let remaining amount of the restaurant = Rs. x
Commission on Rs. x = 22500
3% of x = 22500
[tex]\frac{3}{100}*x=22500\\\\x=22500*\frac{100}{3}\\\\x = 7500*100[/tex]
x = Rs. 750000
Price of the restaurant = 750000 + 500000
=Rs . 1250000
HELPPP PLSSSSSSSSSSSSS
Answer:
x=(-1/10) is the answer of given algebra
Which property would allow you to use mental computation to simplify the problem 27 + 15 + 3 + 5?
Answer:
commutative property of addition.
a sequence of additions can be done in any order and the total remains the same.
Step-by-step explanation:
so, we can actually do
27 + 3 + 15 + 5
and now it is easy to combine 27+3 to 30 and 15+5 to 20, and to make the final calculation of 30 + 20 = 50 in our minds.
find the angles of the triangle if they are proportional to the following 3 4 5
Answer: 90, and 1600 degrees.2500
Step-by-step explanation:
If the angles are proportional to 3, 4, 5,Then the angle measures are 3x, 4X and 5X
Step-by-step explanation:
Answer:
45 60 75
Step-by-step explanation:
Let's call the angles 3 x , 4 x and 5 x
They must add up to 180 o in a triangle, so:
3 x + 4 x + 5 x = 12 x = 180 → x = 180 / 12 = 15 So the angles are:
3 ⋅ 15 = 45 o 4 ⋅ 15 = 60 o 5 ⋅ 15 = 75 o Check answer:
45 + 60 + 75 = 180
what’s the answer? how do I solve this?
Answer:
39.96 is what I think is the answer :)
In a circle, chords ST and RA intersect at Y such that SY is perpendicular to RY. The value of mSA + mRT is: a. 90º b. 180º c. 225º d. Undefined
Answer:
a. 90º
Explanation:
The chords ST and RA intesect at Y, so that SY is now perpendicular to RY and they form an angle 90 degrees at that point. However angles mSA and mRT are both at the circumference of the circle(a chord is a line from point of a circle's circumference to the other) and are both 90 degrees because angle at the circumference is half of angle at the centre in same arc.
Find the measure of the missing angle using the triangle angle sum theorm
Answer:
31°
Step-by-step explanation:
The theorem states that all angle sums of any triangle add up to 180°.
128 + 21 = 149, and to find ?°, subtract 149 from 180 to get 31°.
help me pls i don't get thisggg
Answer:
9. A. 2
Rectangle R:
Length = LWidth = WRectangle S:
Length = 2LWidth = 2WRectangle Area:
Rectangle R = L · W
Rectangle S = 2L · 2W = 2(L · W)
10. A. (1, 3)
y = x + 2y = -2x + 5x + 2 = -2x + 5
x + 2x = 5 - 2
3x = 3
x = 1
y = x + 2 = 1 + 2 = 3
At the baseball stadium there are 548 seats that are divided into 14 rows how many seats are in each row
Answer:
There are 39 seats I think.
Step-by-step explanation:
548 divided by 14 is a decimal but rounded it to the nearest full number.
Doug split a magic cards so that he and his friends each got 6 cards.if there were 24 cards in the pack how many friends did Doug share the cards with
Answer:
Doug share the cards with his three other friends.
Step-by-step explanation:
If there were 24 cards and each person was suppose to get 6
24 ÷ 6 = 4
The cards were shared among 4 people including Doug himself.
Have a nice day :)
Graph the equation of
= 1/3 − 4
Answer:my uncle john told me D
Step-by-step explanation:Beacause john have a brain
Juan compró un led TV en cuotas que costó $ 76.000=. Si le falta pagar 3 cuotas y ya pagó $ 47.000, ¿Cuál es el valor de cada cuota fija?
Respuesta:
$ 9666. 67
Explicación paso a paso:
Costo de TV = $ 76,000
Número de cuotas = 3
Monto ya pagado = $ 47000
Amontof cada cuota fija = Cantidad que queda por pagar / 3
Cantidad que queda por pagar = Costo de TV - Cantidad ya pagada
Cantidad que queda por pagar = $ (76000 - 47000) = $ 29000
Monto de cada cuota fija = $ 29000/3 = $ 9666. 67
Solve for w. 15w+5w–15w+12= – 18 w=
Hello!
15w + 5w - 15w + 12 = -18 <=>
<=> 20w - 15w + 12 = -18 <=>
<=> 5w + 12 = -18 <=>
<=> 5w = -18 - 12 <=>
<=> 5w = -30 <=>
<=> w = -30 : 5 <=>
<=> w = -6
Good luck! :)
Find the product
(7x^2y^3)(3x^5y^8)
Step-by-step explanation:
First, we put the expressions in multiplication form:
(7x2y3)×(3x5y8)(7x2y3)×(3x5y8)
We multiply like terms:
(7x2×3x5)(y3×y8)(7x2×3x5)(y3×y8)
We multiply the coefficients and add the exponents:
21x2+5y3+821x2+5y3+8
Solving, we obtain:
21x7y11
Hello!
[tex]\large\boxed{21x^7y^{11}}}[/tex]
(7x²y³)(3x⁵y⁸)
Multiply by ADDING exponents with the same base:
(7 * 3) (x² * x⁵) (y³ * y⁸)
21 * x² ⁺ ⁵ * y³ ⁺ ⁸
Simplify:
21 * x⁷ * y¹¹
21x⁷y¹¹
what is the length of KM ? no links . HELP
Answer:
40 units
Step-by-step explanation:
9x-5=7x+7
9x-7x=7+5
2x=12
x=6
6x+4
6(6)+4
36+4
40
someone help me please with this algebra problem
Answer:
L=65-15d; continuous
Step-by-step explanation: L stands for the length of the leaf, 65 stands for the original length of the leaf(which will decrease), d stands for the days. the answer is L=65-15d continuous because the original size of the leaf when he bought it was 65(which can decrease over time), every afternoon he cuts the leaf by 15 (which means the size of the leaf is decreasing and by 15 every day) which gives me -15d, if he cuts the leaf by 15 every day and never changes the length of the cut then the function is continuous
use the substitution method to find the value of y in the given system of equations y=2x+5 x+y=4
Answer:
y = 13/3
Step-by-step explanation:
substitute y=2x+5 in x+y = 4
x+2x+5 = 4
3x+5=4
3x= -1
x= -1/3
substitute x= 1-/3 in x+y = 4
-1/3 +y = 4
y = 13/3
Find the area
Help me please
Answer:
143
Step-by-step explanation:
A = [tex]\frac{Base1 + Base2}{2}[/tex] x h
A = [tex]\frac{8 + 18}{2}[/tex] x 11
A = [tex]\frac{26}{2}[/tex] x 11
A = 13 x 11
A = 143
Answer:
none of the multiple choice are right, it's 143
Step-by-step explanation:
use trapezoid formula
a+b
------- h
2
26
----- h
2
13×11= 143
to move a function, you need to___it.
Answer:
shift
Step-by-step explanation:
shift
In parallelogram LMNO, what is the measure of angle M? please helppppp
Answer:
80 degrees
Step-by-step explanation:
First find the the angles N and L:
5x=3x+40
2x=40
x=20
m<N= 100 m<L=100
Now we know that the sum os all Interior angles of a parallelogram is 360
and you know that opposite sides are equal
hence,
2y= 360-2(100) y being angle M (or o)
2y= 160
y=80
Use expression and the unit grid below to answer the question .
PLZ HELP ASAP!! NO FILESSSSSSSS
The closer to 1 the r value the closer the dots make a straighter line.
A positive value the distance move up to the right, a negative value the dots move down to the right.
A = r = -0.33
B = r = -0.75
C = r = 0.72
D = r = 0.89
The equation d = m/v can be used to calculate the density,d, of an object with mass,m, and volume,V. Which is an equivalent equation solver for V?
Answer:
v = m/d
Step-by-step explanation:
since
[tex]d = \frac{m}{v} \: \\ \\ v = \frac{m}{d} [/tex]
You have job were you are paid (p) $1,000 a month plus $15.00 for every hour (h) you work. You work 150 hrs (h), how much money did you make?
Answer:
15 x 150 = 2250
2250 + 1000 = 3250
you make $3250,00
If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?
Step-by-step explanation:
If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?
so it's that
How to Evaluate9^ 1/2
Lesson name- Algebra
Answer:
ayan po answer nasa picture
Answer:
3
Step-by-step explanation:
9½=√9=3
ie. a number to the power of ½ is the same as the square root of the number
product of (n+bv^2) (5n+3bv2)
Answer:
5n² + 8bnv² + 3b²v^4
Step-by-step explanation:
(n+bv²) (5n+3bv²)
5n² + 3bnv² + 5bnv² + 3b²v^4
5n² + 8bnv² + 3b²v^4
I need help I’m rubbish at maths and I really don’t know
❤️❤️
Answer:
160 cm³
Step-by-step explanation:
→ Write down the formula for the volume
Length × Width × Height
→ Find each value
Length = 4, Width = 4 and Height = 10
→ Substitute into formula
4 × 4 × 10 = 160 cm³
