Answer: The short piece is 29.6 cm long and 32.6 cm long.
Step-by-step explanation:
Let x = length of short pieces , y = lengthof longer pieces.
y=x+3 (i)
As per given,
3x+2y=151 (ii)
Substitute value of y from (i) in (ii), we get
[tex]3x+2(x+3)=151\\\\\Rightarrow\ 3x+2x+3=151\\\\\Rightarrow\ 5x=148\\\\\Rightarrow\ x=\dfrac{148}{5}=29.6[/tex]
Put value of in (i), we get
y=29.6+3= 32.6
Hence, the short piece is 29.6 cm long and 32.6 cm long.
Work out an expression, in terms of x, for the perimeter of the shape.
Simplify your answer.
Answer:1+3x+9+x+8+2x= 6x+9
so =3(x+3)
Step-by-step explanation:
a dream club charges $150 for the first month of membership, and $5 less each month after that. what is the total membership for a year? for 2 years?
Answer:
1 year 1470
2 years 2220
Step-by-step explanation:
Try it, it correct
Neeed help asap!!!!!!!
Answer:
b
Step-by-step explanation:
its on the half
what is the value of the y-coordinate of the solution to the system of equations x-2y=1 and x +4y=7
You answer 21 out of 25 questions correctly on a test. Do you reach your goal of answering at least 80% of the questions correctly
Answer:
yes you do, 100 divided by 25 = 4
4 times 21 = 84
PLEASE HELP
which mapping diagram does NOT represent function from x-y
Answer:
Diagram 1
Step-by-step explanation:
This diagram does not represent a function because the x value 6 is outputting 2 different y values, 4 and 6. This goes directly against the rules of a function.
Seven times the sum of a number and 3 is 9.
Answer: -1.71
7(x+3) = 9 is the equation
7x+21 = 9
7x = -12
x= -12/7
x= -1.71
Evaluate the function for x = 2 and x = 6.
f(x) = -(x - 2)
need help like asap
Answer:
zero and negative four
I hope that's what you meant I don't know
Step-by-step explanation:
f(x) = -(x - 2)
=-(2-2)
=0
f(x) = -(x - 2)
=-(6-2)
=-4
Graph the equation using the slope and y-intercept? y= -3x+5
Answer:
Step-by-step explanation:
You need to graph 2 points then you have to draw a line through it.
The 2 points I used were (0,5) and (1,2). Then just draw a line.
There are 26 seventh-grade students going to the big game against County Middle School. If 4 students can ride in one car, how many cars do they need?
At a snack stand, Nathan buys 2 sodas and 1 snack and spends $5. Olivia
buys 3 sodas and 4 snacks and spends $15. Set up the system of equation
(Write both equations separated by a comma)
Answer:
the soda's are one$
and the snacks are three$
I'll give brainliest and five stars if you help me!
What is the solution of the quadratic equation 2x2 + 5x – 1 = 0? Solve by using the quadratic formula.
a. 5+√17 / 4
b. -5+√33 / 4
c. 5+√33 / 4
d. -5+√17 / 4
Find one value of x that is a solution to the equation:
(3x-2)^2-4=9x-6
Answer:
x = 2, x = 1/3
Step-by-step explanation:
(3x-2)^2-4=9x-6
9x^2-12x=9x-6
9x^2-12x+6=9x
9x^2-21x+6=0
(then solve with quadratic formula)
x = 2, x = 1/3
24 points scored in 4 games 50 points scored in 10 games
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will give brainliest
Answer:
3/10
Step-by-step explanation:
2,3,5 are the primes on the spinner so P(prime) = 3/5
probability of 'not heads' means P(tails) which equals 1/2
multiply the two probabilities 3/5 · 1/2 = 3/10
Given 11 and 6, which of the following could not be the third side of the triangle?
Answer:
Any, that is greater than 5 and less than 17Step-by-step explanation:
Given three sides of triangle: a, b and c, and a<c and b<c, then the triangle exist only if a+b>c
therefore:
if a = 11 and b = 6 and c = ??
then: 11 + 6 > c
c < 17
if a = 6 and c = 11 and b = ?? {or b=6 and a=??}
then: 6 + b > 11 {subtract 6 from both sides}
b > 5
Help me with this pls
Answer:
D. 60=(x+45)
Step-by-step explanation:
They are the same degree so they should equal eachother
Answer:
The answer should be D) 60 = (x + 45)
Step-by-step explanation:
2001 is the square number of
1007 is the square number of
Answer:
2001 is the square number of
Exact Form: √2001
Decimal Form: 44.73253849…
1007 is the square number of
Exact Form: √1007
Decimal Form: 31.73326330…
Step-by-step explanation:
Answer:
Square of 2001 is 44.73. Rounded to the nearest hundredth
Square of 1007 is 31.73. Rounded to the nearest hundredth
round the following to the nearest hundredth place 5.4976
Answer:
5.50
Step-by-step explanation:
the 7 tells the 9 to round up and that will make the 4 turn into a 5 so it would end up being 5.50
Drag each label to the correct location on the table.
Find the areas of the figures.
triangle TUV
rectangle ABCD
rectangle PQRS
triangle EFG
Hey there! The answer to your problem is:
6 square units: rectangle PQRS, triangle TUV
8 square units: rectangle ABCD, triangle EFG
Answer:
what he said it right
Step-by-step explanation:
prove the alternate segment theorem
Explanation:
-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-
∠TAB = x°
∠TAC = 90°
(Angle between tangent and radius)
-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-
∠CAB = a = 90 - x
∠CBA = 90°
(Angle in a semi circle)
∠ACB = 180 - 90 - a (3ʳᵈ angle of triangle)
-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-
What is the answer to this
9514 1404 393
Answer:
(c) 5
Step-by-step explanation:
Put 4 where x is and do the arithmetic.
F(4) = 3·4 -7 = 12 -7
F(4) = 5
simplify the expression
-4z-6-7z+3=
Start by changing your minus signs to plus negatives.
So change the -6 to plus a negative 6
and change the -7x to plus a negative 7z.
Now combine like terms → your "z" terms and your numbers.
So -4z + -7x is -11z and -6 + 3 is -3.
Take a look below.
divide an angle of 150grade in two parts such that the ratio of the no. of degree in the first part to the number of grades in the second part in 27:20 find each part of the angle in circular measure
Answer: sorry I don’t understand the question
Step-by-step explanation:
help asap i’ll give brainliest if ur right
Answer:
it should be the second one and the forth one
Step-by-step explanation:
On a blueprint, 1 inch = 5 feet. On the blueprint, the living room is 6.5 inches long. How long is the livining room
in real life?
Answer:
32.5 feet
Step-by-step explanation:
Since 1 inch = 5 feet, we can muliply the measure of the living room by 5 to get our answer.
6.5 x 5 = 32.5
please help me
ZB
Round your answer to the nearest hundredth.
5
2
?
B
Which of the following ordered triples is the solution to the system of equations?
2 x-y-z= -1
3 x + y - Z= 2
x + y -5 z= -8
A(1,1,2)
B(2,3,-5)
C(4,2,-6)
D(5,0,-2)
A. all of the answers are correct when you plug in these values
The solution of the linear equations will be (1, 1, 2). Then the correct option is A.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The equations are given below.
2x - y - z = -1 ...1
3x + y - z = 2 ...2
x + y - 5z = -8 ...3
Add equations 1 and 2, then we have
5x - 2z = 1 ...4
Add equations 1 and 3, then we have
3x - 6z = -9 ...5
From equations 4 and 5, then we have
15x - 3x = 12
12x = 12
x = 1
From equation 4, then we have
5(1) - 2z = 1
2z = 4
z = 2
From equation 1, then we have
2(1) - y - 2 = -1
y = 1
The solution of the linear equations will be (1, 1, 2). Then the correct option is A.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
what is the oblique asymptote of the function f(x)= (x^2 - 5x + 6)/(x - 4)
Answer:
[tex]f(x)=x-1[/tex]
Step-by-step explanation:
From the question we are told that
Function [tex]f(x)= \frac{(x^2 - 5x + 6)}{(x - 4)}[/tex]
Generally we divide the numerator by the denominator mathematically
[tex]y=x-4\sqrt{x^2-5x+6}[/tex]
[tex]y=x-1[/tex]
Therefore the asymptote is given as
[tex]f(x)=x-1[/tex],
Ben deosites 4580 in an account that earns 6% apr compounded weekly. What is the ending balance after 2 years
Given:
Principal value = 4580
Rate of interest = 6% apr compounded weekly
To find:
The total amount after 2 years.
Solution:
The formula for amount is
[tex]A=P\left(1+\dfrac{r}{100n}\right)^{nt}[/tex]
Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
1 year = 52 week
n=52
Putting P=4580, r=6, n=52, t=2 in the above formula, we get
[tex]A=4580\left(1+\dfrac{6}{100(52)}\right)^{52\times 2}[/tex]
[tex]A=4580\left(1+\dfrac{6}{5200}\right)^{104}[/tex]
[tex]A=4580\left(1+\dfrac{3}{2600}\right)^{104}[/tex]
[tex]A=4580\left(\dfrac{2603}{2600}\right)^{104}[/tex]
On further simplification, we get
[tex]A=4580(1.1274188)[/tex]
[tex]A=5163.5781[/tex]
[tex]A\approx 5163.58[/tex]
Therefore, the ending balance after 2 years is 5163.58.
