Answer:
150 cm
Step-by-step explanation:
The information in the question includes;
The length of rope P = 3 × The length of rope Q
The length of rope P - 10 cm = 4 × (The length of rope Q - 10 cm)
Let p represent the original length of rope P and let q represent the original length of rope Q, we have;
p = 3·q...(1)
p - 10 = 4·(q - 10)...(2)
Expanding equation (2) gives;
p - 10 = 4·q - 40
∴ p = 4·q - 40 + 10 = 4·q - 50
p = 4·q - 50...(3)
Equating the values of p in equation (1) and equation (3) gives;
p = 3·q, and p = 4·q - 50, therefore, by the substitution property of equality, we have;
3·q = 4·q - 50
50 = 4·q - 3·q = q
q = 50
p = 3·q
∴ p = 3 × 50 = 150
The original length of P before it was cut, p = 150 cm.
On a piece of paper, graph this system of equations. y=x-2. y= x2 - 6x + 8
Then determine which answer choice matches the graph you drew and identify the solutions to the system.
A. Solutions: (2,0) and (5, 3)
B. Solutions: (2,0) and (4,2)
C.Solutions: (-2,0) and (2,0)
D.Solutions: (2,0) and (3,-1)
The correct answer for the equation is: solutions (2,0) and (5,3).
According to the question, the expression can be simplified by substituting the values in the expression:
Therefore the required expression can be written as:
(x = 2; y = 0) and (x = 5; y = 3)
[tex]y = x-2 = 2-2 =0[/tex]
[tex]y = x-2 = 5-2 =3[/tex]
Both the solutions satisfied the given expression.
(x = 2; y = 0) and (x = 5; y = 3)
[tex]y=x^{2} -6x+ 8 = 4 -12+8=0[/tex]
[tex]y=x^{2} -6x+ 8 = 25 -30+8=3[/tex]
Both the solutions satisfied the given expression.
Hence, the correct answer for the equation is: solutions (2,0) and (5,3).
What is simplification?
The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.
To learn more about the simplification from the given link:
brainly.com/question/432678
#SPJ1
( 4^ 5 4^ 1 4 4^ 1 2 )^ 1 2 Which expression is equivalent to root(15, 4 ^ 5); sqrt(2 ^ 5) 2
Answer:
All I know is it isn’t B. Sqrt 2^5
Step-by-step explanation:
Here is a picture and thank you
help please I need to find the area using (π3.14)
Answer:
15 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Rectangle: A = lw
l is lengthw is widthStep-by-step explanation:
Step 1: Define
Identify variables
l = 5 cm
w = 3 cm
Step 2: Find Area
Substitute in variables [Area of a Rectangle Formula]: A = (5 cm)(3 cm)Multiply: A = 15 cm²2. Out of 500 students appearing in an examination, the number of students who passed in mathematics only is twice the number of students who passed in science only. If 120 students passed in both subjects and 140 students failed in both subjects, then Find the ratio of the students who passed in mathematics to the students who passed in science.
Answer:
60 to 60
Step-by-step explanation:
It says 120 students passed in both and mathematics is only twice so 120 divided by 2 is 60
graph: y=-4sin(2x)+1 where the x axis starts at 30
Answer:
We want to graph:
y = -4*sin(2*x) + 1
Such that the x-axis starts at x = 30
This is trivial to do if we use a program to graph or if we graph by hand, here we just need to draw the x-axis such that it crosses the y-axis at the point (30, 0)
Then let's graph the equation in that axis, we will get an image like the one you can see below.
PLEASE HELP IMAGE IS BELOW!!
Answer:
Number of small boxes shipped = 7
Number of large boxes shipped = 15
Step-by-step explanation:
Let the number of small boxes = s
And the number of large boxes = l
Weight of small box = 25 pound
Weight of the large box = 50 pounds
Total weight of the shipment = 925 pounds
Therefore, equation for the weight of shipment will be,
25s + 50l = 925
s + 2l = 37 ----- (1)
Total number of boxes shipped = 22 boxes
Therefore, equation will be,
s + l = 22 ------(2)
Subtract equation (2) from equation (1)
(s + 2l) - (s + l) = 37 -22
l = 15
From equation (2)
s + 15 = 22
s = 7
Therefore, number of small boxes shipped = 7
Number of large boxes shipped = 15
In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers, If Anju's scores in four successive rounds were -14, 15, -11 and 20. What was her total at the end.
Answer:
10
Step-by-step explanation:
-14+15 leaves a positive 1
-11+20 leaves a positve 9
add.
How do you eat like I next to to eat and I can’t so how do I eat
Answer:
I don’t get the question.
Step-by-step explanation:
It doesn’t make sense to me……….
Bailey writes the expression g2 + 14g + 40 to represent the area of a planned school garden in square feet. What factors can be used to find the dimensions of her garden?
(g−4)(g−10)
(g+4)(g+10)
(g+4)(g−10)
(g−4)(g+10)
Answer:
c
Step-by-step explanation:
Answer:
it's B (g+4)(g+10)
Step-by-step explanation:
you don't have to subtract when finding the dimensions
If a ball is thrown straight up with an initial velocity of 29.4 m/s, the
equation for the height "h" is given by h = -4.9t2 + 29.4t. When does the
ball return to the ground?
Answer:
6 sec
Step-by-step explanation:
when ball return to the ground, h is 0
0=at^2 +bt
0 = -4.9t^2+29.4t
factor: -4.9 times -6 is 29.4
0 = -4.9t(t-6)
set each equation to 0
-4.9t = 0 or t-6=0
t = 0 or t= 6
it's 6 seconds
Answer:
after 6 seconds in the air
Step-by-step explanation:
setting 'h' equal to zero will yield when the ball returns to the ground
you can factor out -4.9t to get:
-4.9t(t - 6) = 0
t = 0 (prior to ball being thrown)
t = 6 (this means, after 6 seconds, the height of the ball is back to zero)
9/10 divided by 3/5 in simplest form
Answer:
3/2
Explanation:
To divide by a fraction multiply by the reciprocal of that fraction
9/10×5/3
reduce the numbers with greatest common factor 3
3/10×5
reduce the numbers with the greatest common factor of 5
3/2 is your answer
The fraction 9/10 divided by 3/5, in simplest form, is 3/2.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 3/5 is 5/3.
So, we have:
(9/10) ÷ (3/5) = (9/10) x (5/3)
Next, we multiply the numerators and denominators:
= (9 x 5) / (10 x 3)
= 45/30
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 15:
= (45/15) / (30/15)
= 3/2
Therefore, 9/10 divided by 3/5, in simplest form, is 3/2.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ6
Let a and b be real numbers where a 0. Which of the following functions could represent the graph below?
f(x) = x(x – a)3(x – b)3
f(x) = (x – a)2(x – b)4
f(x) = x(x – a)6(x – b)2
f(x) = (x – a)5(x – b)
Answer:
D
Step-by-step explanation:
D on edg
express as a single faction
[tex] \frac{x} {4} + \frac{x}{4} [/tex]
[tex] \: \: \: \: \: \: \huge \rm{answer :} \: { \boxed{ \rm\frac{x}{2} }}[/tex]
[tex] \huge \blue{ \boxed{ \pink{\boxed{ \blue{\rm{armed} \: \pink{account}}}}}}[/tex]
[tex] \huge \rm\frac{x} {4} + \frac{x}{4} \\ \\ \huge \rm\frac{x + x}{4} \\ \\ \huge \rm \frac{2x}{4} \\ \\ \huge \blue{ \boxed{ \pink{ \rm \: \frac{x}{2} \: }}}[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
I hope you understood!✏
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
[tex] \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}[/tex]
Equations of parallel lines
Answer: c
Step-by-step explanation:
In order to be parallel, the slope must be the same. This means slope is 2
Now one of the point is 5,-1, so do 2x5 + x = -1, so x = -11
meaning b is -11
so the equation should be y=2x-11
The domain of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is (1 point)
a
{−1, 1, 3}
b
{−1, −1, 1, 3}
c
{−4, −2, 2, 2}
d
{−4, −2, 2}
The domain is set of all x-values. From an ordered pair (x,y) the domain would be the value of x. That means y-value is clear out since it is not domain but range or co-domain.
Given the set of relations below:
R = {(3,-2), (1,2), (-1,-4), (-1,2)}
The domain would be {3,1,-1} which if we arrange from least to greatest, we'd get {-1,1,3}. Remember that we don't write the repetitive numbers or same two numbers in the set.
Answer
{-1,1,3}Anyone know this ? Math
Answer:
line r or MB
Step-by-step explanation:
Answer:
only line r
Step-by-step explanation:
the question is what is perpendicular to (has an angle of 90 degrees with) AM.
line r is.
line s has no right angle with AM (even the extended line beyond these points).
MB is parallel to AM. in fact it is on the same line. so, they have 0 degrees and not 90.
JK is just a part of line s, and the same as for line s applies.
In the figure below, o || k. Find the values of x and z.
Х
(sz – 27)
?
78°
Ix
z = 0
Explanation
Check
Answer:
x = 102
z = 21
Step-by-step explanation:
x and 78 are same side alternate exterior angles, so they are supplementary.
x + 78 = 180
x = 102
5z - 27 and x are a linear pair, so they are supplementary.
5z - 27 + x = 180
5z - 27 + 102 = 180
5z = 105
z = 21
What am I doing wrong? I've tried every conceivable answer, I thought I was good at this type of math but this program keeps proving me wrong. Please help.
Answer:
Step-by-step explanation:
2 x 2 + 7 x − 10 and x-5 in standard form
Plz help me jjhhhhhgg
Answer:
-3x - 11
Step-by-step explanation:
4x - 8 - 7x - 3
Simplify by combining like terms
4x - 7x = -3x
-8 - 3 = -11
were left with -3x - 11
Answer:
[tex]-3x-11[/tex]
Step-by-step explanation:
4x - 8 - 7x - 3
Combine Like Terms
4x - 7x = -3x
Combine Like Terms
- 8 - 3 = - 11
Final Answer: -3x - 11
Find the surface area of the rectangular prism shown below.
6 in.
(15 in
12 in
Answer:
684 in^2
Step-by-step explanation:
SA = 2 ( l*w + l*h+ w*h)
SA = 2( 6*15 + 6*12+ 15*12)
= 2( 90+72+180)
= 2(342)
= 684 in^2
Pls help me answer this question. Picture attached
Answer:
300
Step-by-step explanation:
to find volume u will have to multiply the length x width x breadth which is 5x5x12=300
What is the value of x in this figure?
Enter your answer in the box.
x =
Answer: x = 78°
opposite angles have the same value
Answer:
78 degree
Step-by-step explanation:
x = 78 degree (being vertically opposite angle)
how many solutions does the nonlinear system of equations graphed below have?
What does b mean????
b+12< 44
Answer:
b < 32
Step-by-step explanation:
b + 12 < 44
b - 12 -12
b < 32
so b can be any number less than 32
which of the following are good questions to ask when trying to understand a problem A is the variable always positive negative or either B what is the variable C what is a logical name for a variable D does my guess satisfy the equation E what are the units of the variable F now should i present
A
D
E
F
When solving a problem we must understand what variable represents as well as its units.We must also understand what types of numbers it could be,whether positive,negative,decimals,fractions,etc
Pleaseeeeee help meee
Answer:
Surface area of sphere = 1,344.8 m² (Approx)
Step-by-step explanation:
Given:
Volume of sphere = 1,476π m³
Find;
Surface area of sphere
Computation:
Volume of sphere = [4/3]πr³
1,476π = [4/3]πr³
1,476 = [4/3]r³
[1,476][3/4] = r³
1,107 = r³
r = 10.35 m (Approx.)
Surface area of sphere = 4πr²
Surface area of sphere = 4(3.14)(10.35)²
Surface area of sphere = 4(3.14)(107.1225)
Surface area of sphere = 1,345.45
Surface area of sphere = 1,344.8 m² (Approx)
Pls help. It’s quite late <3
Answer:
a) 120
Step-by-step explanation:
B is twice the size of A
Dan buys a car for £1700. It depreciates at a rate of 4% per year. How much will it be worth in 4 years? Give your answer to the nearest penny where appropriate.
Answer:
1428
Step-by-step explanation:
1700x0.04=68 (How much the car will decrease per year)
68x4=272 (How much the car will decrease in four years)
1700-272=1428 (Value of car in four years)
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?