Answer:
Length :
12
feet
Width :
10
feet
Explanation:
Let the length of the garden be
x
feet.
Therefore, the breadth or width of the garden is
(
x
−
2
)
feet.
So, According to the problem,
x
(
x
−
2
)
=
120
⇒
x
2
−
2
x
=
120
⇒
x
2
−
2
x
−
120
=
0
[Transposing 120 to the L.H.S]
⇒
x
2
+
10
x
−
12
x
−
120
=
0
[Breaking
−
2
x
as
10
x
−
12
x
]
⇒
x
(
x
+
10
)
−
12
(
x
+
10
)
=
0
[Taking the like terms aside]
⇒
(
x
+
10
)
(
x
−
12
)
=
0
[Completing the factorisation]
We know, When two real quantities are multiplied and the product is zero, then one of them or both of them should be zero.
So, Either
x
+
10
=
0
or
x
−
12
=
0
So,
x
=
−
10
or
12
As
x
indicates length,
x
can't be negative.
So,
x
=
12
.
So, The length of the garden is
12
feet and the width of the garden is
(
12
−
2
)
feet =
10
feet.
Step-by-step explanation:
plz mark me as a brainliest
if a 280g with 32 pieces chocolate bar contains 20% of fat. How much fat is in 4 pieces?
Answer:
0.8%
Step-by-step explanation:
4*20%=4*(1/5)=4/5=0.8%
Find slope of both lines and determine if parallel, perpendicular or neither
1) A (2,20)
B (9,55)
C (4,5)
D (9,30)
Answer:
Parallel
Step-by-step explanation:
y=5x+10
y=5x-15
3
A line passes through the point (10, 1) and has a slope of
2
Write an equation in slope-intercept form for this line.
Answer:
y = 2x - 19
Step-by-step explanation:
Slope-intercept form: y = mx + b
y = (x , y) = 1
m = slope = 2
x = (x , y) = 10
b = y-intercept
Plug in the corresponding numbers to the corresponding variables:
1 = 2(10) + b
First, simplify, and then isolate the variable, b. Note the equal sign, what you do to one side, you do to the other.
First, multiply 2 with 10:
1 = (2 * 10) + b
1 = 20 + b
Next, subtract 20 from both sides of the equation:
1 = b + 20
1 (-20) = b + 20 (-20)
1 - 20 = b
b = -19
Plug in 2 for m, and -19 for b.
y = 2x - 19 is your slope-intercept form.
~
A shipment of sugar fills 2 4/5 containers. If each container holds 2 3/7 tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.
Answer:
6 4/5 tonsStep-by-step explanation:
Multiply the number of containers by the amount in each to find the total amount of sugar:
2 4/5 * 2 3/7 = 14/5 * 17/7 = 2*17/5 =34/5 = 6 4/5AM I RIGHT PLEASE HELP!!!
Calculate the slope of a line that passes through the points (6, -12) and (15,-3).
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, - 12 ) and (x₂, y₂ ) = (15, - 3 )
m = [tex]\frac{-3-(-12)}{15-6}[/tex] = [tex]\frac{-3+12}{9}[/tex] = [tex]\frac{9}{9}[/tex] = 1
help plz i will give brainliest
Answer:
12
(If needed explanation ask in the comments! ty)
Hope This Helps! •v•
What force would have been applied to the bus from t=16 s to t=21 s? Assume the mass of the bus was 50 kg.
Applying Newton's Second Law, it is found that the force, in Newtons, is given by:
[tex]F = 10[v(21) - v(16)][/tex]
Newton's Second Law states that Force, in Newtons, is mass times acceleration, that is:
[tex]F = ma[/tex]
In this problem, mass of 50 kg, thus [tex]m = 50[/tex]
Acceleration is change in velocity divided by change in time, that is:
[tex]a = \frac{\Delta_v}{\Delta_t}[/tex]
In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:
[tex]\Delta_t = 21 - 16 = 5[/tex]
[tex]\Delta_v = v(21) - v(16)[/tex]
Thus, the force is given by:
[tex]F = ma[/tex]
[tex]F = m\frac{\Delta_v}{\Delta_t}[/tex]
[tex]F = 50\frac{[v(21) - v(16)]}{5}[/tex]
[tex]F = 10[v(21) - v(16)][/tex]
A similar problem is given at https://brainly.com/question/18801986
Help me with this question (will mark brainliest)
Answer:
What's the question?
how much did it cost to transport the following:a) 1000 bags of maize each weighing 100 kg to a distance of 70 km if transportation costs $100 per 100 kg
Answer:
100000 $
Step-by-step explanation:
Multiply:
1000*10
100000 $
Help me fast please I am really confused!!!!!!
Answer:
By the way that the line is facing.
please help me :)
see image below
Answer:
x=6
Step-by-step explanation:
2x+5=17
-5 -5
2x=17-5
2x=12
x=6
Answer:
2x+5=17 is x = 6, so 17 --> -5 --> ÷2 I hope this helps! :D
Plz help…10 points and a brainliest…
Answer:
substitute the values given,
= (2a + b) - (a - 2b)
= (2(x + 2y) + x - 2y) - (x + 2y - 2(x - 2y))
= (2x+4y+x-2y) - (x+2y-2x+4y)
= (3x+2y) - (-x+6y)
= 3x + 2y + x - 6y
= 4x - 4y
then,
(2a+b) - (a-2b) = 4x - 4y
20% of 400 is
.............
Answer:
80
Step-by-step explanation:
20% of 400 is
= 20/100 * 400
= 80
Please help me with this!
Answer:
y=2x+3
Step-by-step explanation:
you should see how to get from one number to the next.
I noticed by multiplying an input by 2 then adding 3 I reach my output.
I would use this for each input to find that it would equal my output every time I used the rule
see screenshot below/above
Answer:
x-int: (-2,0)
y-int: (0,1.333)
Step-by-step explanation:
Please help! Geometry
Answer: g=100
Step-by-step explanation:
Answer:
g = 105
Step-by-step explanation:
G = 105 because the angle across from 105 on the left is also 105 (opposite angles), and g is a corresponding angle to the angle across from the 105 that is given.
How many solutions does this equation have?
9p + 5 = 5 + 9p
I NEED HELP ASAP!!!!!
Answer:
IM PEPPA PIG
Step-by-step explanation:
UGHHHHHH 3333333
1000 Chevrolet times 1000 Lamborghini
Answer:
1000000 chevginis
Step-by-step explanation:
Answer:
1000000 sports cars (Chevrolet and Lamborghinis)
Step-by-step explanation:
1000x1000
what is the equation of the line in slope intercept form that passes through the points (1,7) and (2,11)
Answer:
slope = y^2 - y^1 / x^2 - x^1 = 4
your slope would be 4
Step-by-step explanation:
write each equation in slope-intercept form. underline the slope and circle the y-intercept in each equation 5x+3y=30
The slope - intercept form is: ___
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]y = \underline{-\frac{5}{3}}x + \boxed{10}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{Converting to Slope-Intercept Form:}\\5x + 3y = 30\\\rule{150}{0.5}\\\rightarrow 5x - 5x + 3y = 30 - 5x\\\\\rightarrow 3y = 30-5x\\\\\rightarrow\frac{3y=30-5x}{3}\\\\\rightarrow y = 10 -\frac{5}{3}x\\\\\rightarrow \boxed{y = -\frac{5}{3}x + 10}[/tex]
⸻⸻⸻⸻
[tex]\text{General Slope-Intercept Formula:}\\y = mx + b\\\rule{150}{0.5}\\$\bullet \text{ }m -\text{Slope}\\$\bullet \text{ }b -\text{Y-Intercept}\\\rule{150}{0.5}\\\text{In the given equation, the slope would be } -\frac{5}{3} \text{ and the y-intercept would be } 10.[/tex]
⸻⸻⸻⸻
[tex]y = \underline{-\frac{5}{3}}x + \boxed{10}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
An angle exceeds three times its complement by 10°, find it.
Answer:
30° angle it might be same
Choose the algebraic expression that matches the phrase below.
h increased by 5
Answer:
h + 5
Step-by-step explanation:
increased = add so yeah...
Write the equation of the line that passes through the points (−3,9) and (1,−6).
Answer:
y=-3.75x-2.25
Step-by-step explanation:
Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1
(-6)-(9)/(1)-(-3) = -15/4 = -3.75
Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b
9=-3.75*(-3)+b
9=11.25+b
b=9-11.25
b=-2.25
Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b
y=-3.75x-2.25
Step 4: Plug your X values into the formula, you should get your Y values after solving
y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)
y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)
.Write 3.4 · 10-4 in standard form
Answer: 0.00034
Step-by-step explanation: 10^-4 would move the decimal left four times.
¿Qué es un dato en estadística?
Answer:
Los datos son piezas individuales de información fáctica registradas y utilizadas con fines de análisis. Es la información en bruto a partir de la cual se crean las estadísticas. Las estadísticas son el resultado del análisis de datos: su interpretación y presentación. ... A menudo, estos tipos de estadísticas se denominan "datos estadísticos".
Step-by-step explanation:
Answer:
Un dato estadístico es cada uno de los valores que se ha obtenido al realizar un estudio estadístico
Step-by-step explanation:
the measure of an angle is 14 degrees less then the measure of its complement . Find the measures of the two angles
Answer:
it would be:
Step-by-step explanation:
: 14 + 14 + 14 =?
:?=42°
There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer? it is the answer
correct ratio
7:8
5:8
8:7
Answer:
The correct ratio is 7:8, so no, Emma is not correct.
Hello cayleahm253!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Okay, so we can see from the question that there are 35 boys & 40 girls in the 6th grade. So the ratio of boys is to girls will be 35:40.
__________________
Solving...
[tex]35 : 40 \\ = \frac{35}{40} \\ \\ \sf \: Cancel \: out \: 35 \: and \: 40 \: to \: get \: 7 \: and \: 8.\\ \\ = \frac{7}{8} \\ = \huge \boxed{\boxed{\bf \: 7 : 8}}[/tex]
__________________
So, the correct ratio is not 3:4. Instead it's 7:8.__________________
Hope it'll help you ッ
ℓucαzz
How can data be represented?
Data can be represented in tables, charts, and graphs.
the probability distribution of all possible values of the sample proportion is the
Answer: The sampling distribution of p is the probability distribution of all possible values of the sample proportion p.