Answers
Answer:
third option (7.5, 8)
this option (6, 5, -3)
Step-by-step explanation:
you eliminate one variant by expressing it through the other(s) until you have one equation with one variable.
that you solve, and then you go back to the other elimination expressions to calculate the others.
2x - y = 7
-2x + 3y = 9
since the terms with x are already so similar, we could now simply add both equations and solve that result :
2x + (-2x) -y + 3y = 7+9 = 16
0×x + 2y = 16
2y = 16
y = 8
=>
2x - 8 = 7
2x = 15
x = 7.5
x - 2y - 3z = 5
x + 2y + 3z = 7
x + z = 3
the same trick by adding the first 2 equations
x + x -2y + 2y -3z + 3z = 5 + 7 = 12
2x + 0y + 0z = 12
2x = 12
x = 6
=>
6 + z = 3
z = -3
and then
6 + 2y + 3(-3) = 7
6 + 2y - 9 = 7
2y - 3 = 7
2y = 10
y = 5
Related Questions
can someone please help me with this question? I have been stuck on it for a while now
Answers
Answer:
w = 12 cm and l = 20 cm
Step-by-step explanation:
PLEASE PLEASE HELP ILL GIVE BRAINLY
Answers
Answer:
In this case, we can do substitution.
Step-by-step explanation:
For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x
For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3
And for the last one, (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10
Hope your happy with the answer :)
Please help the question is in the photo
Answers
Answer:
Click C.
√65,17/2,8.9,3^2,√100
Have a blessed day B)
Answer:
C √65,17/2,8.9,3^2,√100
Step-by-step explanation:
from least to greatest
√65=8.06
17/2=8.5
8.9
3^2=9
√100=10
Can someone help me with this math homework please!
Answers
Answer:
the correct options are 1, 2, 5, and 6th
1. and 2.
all functions have a dependant variable y and independent variable x, and the set of dependant variables is called its range whereas the set of independent variables is called its domain.
5. and 6.
In a horizontal line 1 input associates itself with exactly one ouput, even tho the output is constant (same) for all values of x, and that's the property of a function
Answer:
all functions have dependent variables
all functions have an independent variable
a horizontal line Is an example of a functional relationship
Helpppppp!!!!!!!!!!and explain too
Answers
Answer:
Relation
Explanation:
The definition of a relation is just a set of ordered pairs.
A function is a relation in which each domain element is paired with exactly one range element.
It can't be a function because if it is a vertical line, then the x-value is the same for the whole line.
I hope that helps a bit
someone help me for this algebra task please
Answers
Answer:
The last one is the answer
Answer: For each hour that Michelle drove, she travelled an additional 50 miles.
Step-by-step explanation:
Test each option to see its accuracy
Calculate the slope:
[tex](x_{1}, y_{1}) = (7, 0)\\(x_{2}, y_{2}) = (0, 350)\\ \\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{350-0}{0-7} =\frac{350}{-7} =-50[/tex]
This means that Michelle drove 50 miles per hour.
The other three options are wrong because if you bring in:
x = 6x = 3into your function- y = -50x + 350, you would not get the stated miles.
A right triangle has one angle that measures 70 degrees what is the measure of the other acute triangle
Answers
Answer:
20
Step-by-step explanation:
180 - 90 - 70 = 20
The sum of all angles in a triangle equals 180.
Triangle Sum Theory
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a side of the water tank.
Answers
Given:
Volume of cubical tank = [tex]\dfrac{1000}{125}[/tex] cubic meters.
To find:
The length of a side of the water tank.
Solution:
The volume of a cubical tank is:
[tex]V=a^3[/tex]
Where, a is the side length.
It is given that the volume of cubical tank is [tex]\dfrac{1000}{125}[/tex] cubic meters. So,
[tex]a^3=\dfrac{1000}{125}[/tex]
[tex]a^3=\dfrac{(10)^3}{5^3}[/tex]
Taking cube root on both sides, we get
[tex]a=\dfrac{10}{5}[/tex]
[tex]a=2[/tex]
Therefore, the length of a side of the water tank is 2 meters.
6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface area, in cm², that needs to be painted? (Take pi to be 3.142.)
7. A tank in the shape of a cylinder of diameter 2.4 m and height 6.4 m contains oil to the brim. Find the number of complete cylindrical containers of base radius 8.2 cm and height 28 cm which can be filled by the oil in the tank.
Please help with the 2 questions. thank you!!
Unhelpful answer will be deleted ❌
Correct answer + with explanation will be chosen as the Brainliest Answer ✅
Answers
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
[tex]\displaystyle \text{SA}=2\pi r^2+ 2\pi rh[/tex]
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
[tex]\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2[/tex]
Then the total surface area for 200 cylinders will be:
[tex]\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2[/tex]
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
[tex]\displaystyle V=\pi r^2h[/tex]
Since r = 1.2 and h = 6.4:
[tex]\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3[/tex]
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
[tex]\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3[/tex]
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
[tex]\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895[/tex]
Thus, approximately 4895 containers can be filled.
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
Then the total surface area for 200 cylinders will be:
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
Since r = 1.2 and h = 6.4:
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
if 2^a =0.5 and 5^b=125, what is the value of a^b +b^a?
Answers
9514 1404 393
Answer:
-2/3
Step-by-step explanation:
2^a = 0.5 = 2^-1 ⇒ a = -1
5^b = 125 = 5^3 ⇒ b = 3
Then the expression a^b +b^a is ...
a^b +b^a = (-1)^3 +3^(-1) = -1 +1/3 = -2/3
Pleaseeeeeee help its late and i have to get up for camp tmr but I HAVE to finish this :(
Answers
Answer:
a. ALL
Step-by-step explanation:
for a relation to be a function it must have exact one output for an input. since all tables have one output for a given input all are functions.
Solve the problem Von rolls a ball on the ground at an angle of 23° to the right of his dog Bingo. If the ball rolls a total distance of 48 feet, and he is standing 30feet away, how far will Bingo have to run to retrieve the ball
Answers
Answer:
Use the law of cosines: a = 30, b = 48, c = distance dog runs
a^2 + b^2 - 2 a b cos theta = c^2
900 + 2304 - 2650 = c^2 = 554 c = 23.5 ft
PLEASE HELP! Use the substitution method to solve the system of equations.
A. (-30,11)
B. (5,-3)
C. (10,-5)
D. (0,1)
Answers
Hello,
[tex]\left\{\begin{array}{ccc}2x+5y&=&-5\\x+3y&=&3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\6-6y+5y&=&-5\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\y&=&11\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&-30\\y&=&11\\\end{array}\right.\\\\[/tex]
Answer A
Find P(5) given P(x) = 4 - 1
Answers
Answer:6
Step-by-step explanation:
sorry if im wrong
Which one of the following options is true when considering the expansion of
the binomial expression (x + y)6?
A. The first term of the expansion of (x + y)^6 is x3y3.
B. The coefficients of the expansion of (x + y) are: 1,6, 15, 15, 6, 1.
c. The expansion of (x + y)^6 will yield 7 terms.
D. The sum of the exponents of each term of the expansion of
(x + y)^6 is 5
Answers
Answer:
c The expansion of (x + y)^6 will yield 7 terms
Step-by-step explanation:
(x + y)^6 =
x^6 +6x^5y + 15x^4y^2 + 20x^3y^3 + 15x^2y^4 + 6xy^5 + y^6
so its a no on A
its a no on B because its missing a 20
its a yes on c
its a no on d because the sum is 6
so c
M and t intersects lines l an6d m.
Find the m angle 8.
A. 145
B. 35
C. 55
D. 75
Answers
Answer:
B. 35°
Step-by-step explanation:
m<4 = x + 20
m<8 = 2x + 5
✔️First, find the value of x:
m<4 = m<8 (corresponding angles are equal)
Substitute
x + 20 = 2x + 5
Collect like terms
x - 2x = -20 + 5
-x = -15
Divide both sides by -1
x = 15
✔️Find m<8:
m<8 = 2x + 5
Plug in the value of x
m<8 = 2(15) + 5
m<8 = 30 + 5
m<8 = 35°
After simplification, the value of 1-2/1(1+2)-3/(1+2)(1+2+3)-4/(1+2+3)(1+2+3+4)-...-100/(1+2+...+99)(1+2+...+100)
is a proper fraction in its lowest form. Find the difference of its numerator and denominator.
Answers
Answer: no
Step-by-step explanationn. .......................................................w:eorkeok,feoferkeorkoe
The equation below has one solution. 9 x minus 10 = 3 x + 2 What is the solution to the equation? –2 –1 1 2
Answers
9x-10=3x+2
-3x. -3x
6x-10=2
+10 +10
6x=12
———
x=2
Answer:
x=2
Step-by-step explanation:
It’s solution in step by step explanation pls help
Answers
Answer:
6) [tex]x^2 -4x+1[/tex]
7) 26x-1y +4z
Step-by-step explanation:
long division
____[tex]x^{2}[/tex]__-4x__+1____
x-2 | [tex]x^3-6x^2+9x-2[/tex]
- [tex]x^3-2x^2[/tex]
-----------
[tex]-4x^2+9x[/tex]
[tex]-4x^2+8x[/tex]
----------------
x-2
x-2
If z varies jointly as x and y and inversely as w^2?, and
z = 72 when x = 80, y = 30 and
w=5, then find z when x = 20, y = 60 and w=9.
Answers
Answer:
Step-by-step explanation:
z = (k*x*y) / w²
Where,
k = constant of proportionality
z = 72 when x = 80, y = 30 and w = 5
z = (k*x*y) / w²
72 = (k * 80 * 30) / 5²
72 = 2400k / 25
Cross product
72 * 25 = 2400k
1800 = 2,400k
k = 2,400/1800
k = 24/18
= 4/3
k = 1 1/3
k = 1.33
find z when x = 20, y = 60 and w=9
z = (k*x*y) / w²
z = (1.33 * 20 * 60) / 9²
z = (1596) / 81
Cross product
81z = 1596
z = 1596/81
z = 19.703703703703
Approximately,
z = 19.7
Write an
equivalent expression by distributing the
"---"
sign outside the parentheses:
-(3.9d + 10)
Answers
Answer of this question
-3.9d-10For a right triangle ABC, you are told that cos A = x and sin A = y. Which option below gives an expression that is equivalent to tan A? a. x/y b. y/x c. x/√x^2+y^2 d. y/√x^2+y^2
Answers
Answer:
B
Step-by-step explanation:
We know that
cos A = adjacent / hypotenuse
sin A = opposite / hypotenuse
Therefore, sin A / cos A =
(opposite / hypotenuse) / (adjacent / hypotenuse)
= (opposite/hypotenuse) * (hypotenuse / adjacent)
= opposite / adjacent
= tan A
Therefore, tan A = sin A / cos A = y/x
What is the value of k?
Answers
Answer:
Step-by-step explanation:
recall that the inside angles of a triangle add up to 180°
and also that the angle 115° is the other part of a 180° total
180=115+y
180-115 =65
then the inside angle at Y is 65°
add the three inside (interior of the triangle) angles up
180= 65 + (4k+5) + (6k+10)
180 = 65 + 10k + 15
180 = 80 + 10k
100 = 10k
10 = k
see how I did that?
An acute angles measure is
A. Between 0 and 90
B. Between 90 and 180
C. Exactly 90
Answers
Answer: the correct answer is A. Between 0 and 90
If an angle is between 0 and 90 it is acute
If an angle is EXACTLY 90 it is a right angle
If an angle is between 90 and 180 it is obtuse angle
If it's 360 then it is a full circle
What is the decimal equivalent of
9
22
?
Answers
= 9 ÷ 22
= 0.40909090909091
That's literally all there is to it! 9/22 as a decimal is 0.40909090909091.
On a coordinate plane, triangle F D E has points (negative 3, 3), (negative 1, negative 1), (negative 3, negative 1). Triangle C B A has points (3, 3), (3, negative 1), (1, negative 1).
What happens to a point when it is reflected over the y-axis?
The coordinates stay the same.
The x-coordinate changes.
The y-coordinate changes.
Both coordinates change.
Answers
Answer:
When a point is reflected across the y axis the values of x change. They become negative values of x.
Answer:
(B) The x-coordinate changes.
Step-by-step explanation:
. You have a job as a salesman. You make $15.00 an hour (h) plus a
commission of 5.5% on all of your sales (s). Create an equation that
will show your pay (p) based upon your hours (h) worked and sales
(s).
Answers
Answer:
wait what
Step-by-step explanation:
help with this plzzzz, i need perimeter and area plzzzz steps if possible will mark brainlest!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Area: 125
Perimeter: 60
Step-by-step explanation:
I got this answer by calculating the area and perimeter. To find the area, multiply length x width. To find the perimeter, you have to add your length and width two times.
Thanks for helping me two more problems
Answers
Answer:
A. Energy (weight)
Step-by-step explanation:
Mark me as brainiest
use r = 27 and x = 3
- r 9 _ + 5x
Answers
Answer:
-228
Step-by-step explanation:
