Answer:
3x - 4 = -2x + 3
3x + 2x = 3 + 4
5x = 7
x = 5/7
Step-by-step explanation:
1. move the same term to one side
2. the rest are simply solving equation
The measure of an angle is 44°. What is the measure of its complementary angle?
A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $15. Lin has $300 to spend on renting the hall for a fundraiser. How many hours can Lin rent the hall for? 1) Write an equation. 2) List what your variable represents. 3) Solve the equation. 4) Answer the question
Answer:
6 no 3 yes
Step-by-step explanation:
for 6 hours no because she already used 200 and now she only has 100 to spend
for 3 hours yes because that fee would be UNDER her budget
What is the solution to the system of equations?
Answer:
Step-by-step explanation:
There is an error in the question. The table does not show two linear functions. y₁ is a linear function, but y₂ is not a straight line. It makes a bend at (-6,1).
Line 1 goes through (-12,-3) and (0,5).
slope = (5-(-3))/(0-(-12)) = 2/3
y-intercept = 5
y₁ = (2/3)x + 5
Line 2 goes through (-12,-2) and (-6,1).
slope = (1-(-2))/(-6-(-12)) = 1/2
y₂ = (1/2)x + 4
(2/3)x + 5 = (1/2)x + 4
x = -6
y = (2/3)x + 5 = 1
Solution: (-6,1)
There are 80 students in the sixth grade at mountain middle school. 64 of these students play sports. What percent of the students play sports?
Answer:
80%
Step-by-step explanation:
80÷64= 0.8
0.8 = 80%
You just need to divide the number of students that play sports by the total number of students and you'll get your answer
Find the slope of the following graphs
Answer:
Slope = -1
Step-by-step explanation:
The equation we use for slope is as follows:
m = (y2 - y1) / (x2 - x1)
The graph gives us four points, but we only need two to solve our equation: (-2,5) and (2,1)
Now, we need to define which variable goes with which point:
Y2 = 1
X2 = 2
Y1 = 5
X1 = -2
If we plug these into our equation we get the following:
m = (1 - 5) / (2 - -2)
m = (-4) / (-4)
m = -1
Our slope for this graph = -1
I hope this helps!
-TheBusinessMan
A rectangle has an area of 24 square feet and a length of 6 feet. Calculate the perimeter of the rectangle.
Solve one of the two problems for x. The answers for both are the same. You are more than welcome to do both to check your answer!
Make sure you round to the nearest tenth if necessary.
Answer:
x = 49
Step-by-step explanation:
Let's solve for x in the first triangle by applying the leg rule.
Leg rule is given as: hypotenuse/leg = leg/part
Hypotenuse = x
Leg = 28
Part = 16
Plug in the values into the equation
x/28 = 28/16
Cross multiply
x*16 = 28*28
16x = 784
x = 784/16
x = 49
✔️Let's check our answer to see if we would get the same value of x for the other triangle. Apply the same leg rule.
Hypotenuse = x
Leg = 21
Part = 9
Thus:
x/21 = 21/9
Cross multiply
x*9 = 21*21
9x = 441
x = 441/9
x = 49
✔️We have the same value. Therefore, x = 49 is the correct answer.
What is the HCF of 32 and 21
Answer:
i think is 1
Step-by-step explanation:
Why was the invention of the mechanical reaper important?
A. The reaper separated cotton fibers from cotton seed much faster than the manual method used earlier.
B. The reaper made it possible to communicate very quickly across a wire.
C. The reaper replaced the old method of sewing clothes by hand.
D. The reaper could cut grain much faster than the older method of harvesting by hand with a scythe.
Answer:
A.) The reaper separated cotton fibers from cotton seed much faster than the manual
method used earlier.
B.) The reaper made it possible to communicate very quickly across a wire.
C.) The reaper replaced the old method of sewing clothes by hand.
D.) The reaper could cut grain much faster than the older method of harvesting by hand
with a scythe.Step-by-step explanation:
The owner of an automobile insures it against damage by purchasing an insurance policy with a deductible of 250. In the event that the automobile is damaged, repair costs can be modeled by a uniform random variable on the interval (0, 1500). Determine the standard deviation of the insurance payment in the event that the automobile is damaged.
Answer:
Step-by-step explanation:
From the given information:
The uniform distribution can be represented by:
[tex]f_x(x) = \dfrac{1}{1500} ; o \le x \le \ 1500[/tex]
The function of the insurance is:
[tex]I(x) = \left \{ {{0, \ \ \ x \le 250} \atop {x -20 , \ \ \ \ \ 250 \le x \le 1500}} \right.[/tex]
Hence, the variance of the insurance can also be an account forum.
[tex]Var [I_{(x}) = E [I^2(x)] - [E(I(x)]^2[/tex]
here;
[tex]E[I(x)] = \int f_x(x) I (x) \ sx[/tex]
[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250) \ dx[/tex]
[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^2}{2} \Big |^{1500}_{250}[/tex]
[tex]\dfrac{5}{12} \times 1250[/tex]
Similarly;
[tex]E[I^2(x)] = \int f_x(x) I^2 (x) \ sx[/tex]
[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250)^2 \ dx[/tex]
[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^3}{3} \Big |^{1500}_{250}[/tex]
[tex]\dfrac{5}{18} \times 1250^2[/tex]
∴
[tex]Var {I(x)} = 1250^2 \Big [ \dfrac{5}{18} - \dfrac{25}{144}][/tex]
Finally, the standard deviation of the insurance payment is:
[tex]= \sqrt{Var(I(x))}[/tex]
[tex]= 1250 \sqrt{\dfrac{5}{48}}[/tex]
≅ 404
7x − 8y = 2 a function
Answer:
x = 2/7 or 0.285714
Step-by-step explanation:
Your welcome :)
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?
Answer:
P(15) = (200,000)(1.08)15 = 634,434
Step-by-step explanation:
If the population at the beginning of 2000 was 200,000
Then the growth equation is P = Po(1.08)(y) where year year 2000 was year 1 or y = 1
At the end of 2015 or 2015-2000 = 15 years later, or at the end of the 15th year
PLEASE HELP ME!!!!!!
Answer:
[tex] \huge \red{ c_3 = - 1}[/tex]
Step-by-step explanation:
[tex]c_1 = 1 \\ \\
c_n= - 2c_{n-1}+5 \\ \\ c_2 = - 2c_{2-1}+5 \\ \\ c_2 = - 2c_{1}+5 \\ \\ c_2 = - 2(1)+5 \\ \\ c_2 = - 2+5 \\ \\ \huge \purple{c_2 =3} \\ \\ c_3 = - 2c_{3-1}+5 \\ \\ c_3 = - 2c_{2}+5 \\ \\ c_3 = - 2(3)+5 \\ \\ c_3= - 6+5 \\ \\ \huge \red{ c_3 = - 1}[/tex]
A pool of possible jurors consists of 15 men and 14 women. How many different juries consisting of 5 men and 7 women are possible?
Answer:
6
Step-by-step explanation:
Um so what I did was 15/5=3 and 14/7+2
So for the first group of men, 2 groups. TIMES 3.
Equals 6 options
a shopkeeper marks the price of a television 30% above the cost price and allow 20% discount . the purchase price of television is Rs 12000. if a customer pays Rs 14102.40 for the TV including vat ,find the vat percent. {Ans 13%}
Answer:
Step-by-step explanation:
cost = 12,000
list price = 1.30×12,000 = 15,600
discounted price = 0.80×15,600 = 12,480
purchase price = (1+VAT)×12,480 = 14,102.40
1+VAT = 14,102.40/12,480 = 1.13
VAT = 0.13 = 13%
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer!
Answer:
I'm not going to lie I'm not 100% sure but I think it's c
Answer:
D
Step-by-step explanation:
4x=4+2y
3y=5+2x
You deposit $1,500 in an account earning 2.75% simple interest. How long will it take for the
balance of the account to be $1,995.
Answer:
12 years if interest is paid yearly
12 months if interest is paid monthly
Step-by-step explanation:
2.75% of $1500 is $41.25 interest per period
$1995-$1500 = $495 total interest
$495 ÷ $41.25 = 12 periods
Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.
The surface covered by a rectangular field is 375 square yards. The width of the field is 10 yards longer than its length. Using factors, determine the length and the width of the field
Answer:
L= 15
W= 25
Step-by-step explanation:
w(w-10) =375
w^2-10w-375=0
w=25 or -15
Length=25-10 =15
The length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.
What is a rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let L and W be the length and width of the rectangle.
The area of the rectangular field is 375 square yards
W = 10 + L
As we know,
Area = LW
375 = L(10 + L)
375 = 10L + L²
L²+ 10L - 375 = 0
After solving the above quadratic equation:
L = 15 yards
L = -25 (length cannot be negative)
Plug L in the equation W = 10 + L to get the width of the rectangular field
W = 10 + 15
W = 25 yards
Thus, the length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ2
what is the value of the digit 2 in the number 2348
Answer:
Two thousands or 2000
Step-by-step explanation:
2 is in the 4th column from the right which is the thousands
Answer:
thousands place
Step-by-step explanation:
What would it mean to find a solution to an equation that is x squared = 100
Answer:
There are 2 possible solutions
Step-by-step explanation:
Given
x² = 100 ( take the square root of both sides )
x = ± [tex]\sqrt{100}[/tex] = ± 10
Since 10 × 10 = 100 and - 10 × - 10 = 100
solutions are x = 10 , x = - 10
1) What is the the product of (3x-2)(5 x2 -3x+1)
First multiply the second ( ) with 3x then multiply it with -2 and add them together So
(3x-2)(5x^2-3x+1)
=3x(5x^2-3x+1)+ -2*(5x^2-3x+1)
=15x^3-9x^2+3x -10x^2+6x-2
=15x^3-19x^2+9x-2
Done!
Find the missing angle measurments geometry
Answer:
?????????
Step-by-step explanation:
wheres the equation
I'd really like the help with these problems please.
Thanks!
CAN SOMEONE PLEASE HELP ME LABEL THE GRAPH SO I CAN PLOT THE POINTS!!
Answer:
Era is x and number of wins is y
Edit: I would go up by two's on the y axis and .5 on the x axis
Having trouble with my functions homework plz can someone help
Answer:
[tex]g(x) = \frac{ - 19}{3} x \: + 2[/tex]
I hope that is right
which ones belong to SAS, SSS, HL, AAS, ASA or not congruent?
Answer:
1.ASA
2.AAS
3.?
4.ASA
5.SSS
6.SSS
7.ASA
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
Answer:
56.7°
Step-by-step explanation:
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
We solve this question using the Trigonometric function of Sine
From the question, we are told that:
A rectangle is 5.1 cm wide
and each diagonal is 9.3 cm long.
Since we have a diagonal, this means the shape is transformed to a triangle.
The width of the rectangle = Adjacent side of a triangle = 5.1cm
The diagonal of the rectangle = Hypotenuse = 9.3cm
Hence,
cosθ = Adjacent/Hypotenuse
cosθ = 5.1/9.3
cosθ = 0.5483870968
θ = arccos(0.5483870968)
θ = 56.743568714°
Approximately = 56.7°
The measure of the angle is 56.7°
Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
Help ME and plzz show your work thank you love
The answer to my question that is all I want to know!!
Answer:
118.71$
Step-by-step explanation:
what is sociallizatioj
Answer:
Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society
hope it helps you
please mark me as brainlist
Step-by-step explanation:
mixing up and following social norms and values as a member of the society is called socialization.