elimination means to get rid of one variable by altering the coefficients of variable (by multiplying and diving by some constant number)
in this case, if you just add the two equation, y gets cancelled you get 5x=20 or x=4
put it in any equation to get y (this works because both lines pass through the same point, so they must satisfy that point) to get y=2
Answer: (4,2)
Step-by-step explanation:
You can solve this systems of equation by substitution, graphing, and elimination
Solving by Elimination was found to be the easiest for me.
3x+2y=16
2x-2y=4
eliminate 2y because a positive and a negative will equal zero.
3x+2x=5x, 16+4=20
5x=20, divide 5 on both sides
x=4
Now we solve for y
You can plug in 4 for x in either equations
I did the first equation
3(4) +2y=16
3*4=12
12+2y=16
-12 -12
2y=4
divide 2 on both sides
y=2
Answer is (4,2)
Mark brainlist please
PLEASE ANSWER ASAP!!!!! DONT NEED much explanation How many solutions does this system have? (photo below)
Answer:
infinite solutions
Step-by-step explanation:
Multiply the first equation by 2
2(3x-5y) = 2*15
6x - 10y = 30
This is the same as the second equation
They are the same line
This means there are infinite solutions
Find the volume of the prism.
13ft 7ft
Answer:
the volume of the prism is VOLUME=BASE*HEIGHT
Step-by-step explanation:
SO it's ,
13*7=91ft
Answer:
591.5 ft^3
Step-by-step explanation:
Point B ∈ AC so that AB : BC = 2:1. Point D ∈ AB so that AD : DB = 3:2. Find AD : DC.
Answer:
AD : DC is 2:3
Step-by-step explanation:
The parameters given are;
Point B ∈ AC
AB : BC = 2:1
Point D ∈ AB
AD : DB = 3:2
Therefore, whereby we sum the ratios, we have;
For AC
AB = 2/(2+1)×AC = 2/3×AC
BC = 1/3×AC
For AB
AD = 3/(3+2)×AB = 3/5×AB
DB = 2/5×AB
We are required to find AD:DC
Given that AD = 3/5×AB and AB = 2/3×AC
We have;
AD = 3/5×2/3×AC = 6/15 AC
DC = DB + BC = 2/5×AB + 1/3×AC = 2/5×2/3×AC + 1/3×AC = 4/15×AC + 1/3×AC
DC = 3/5×AC
AD : DC = 6/15 AC : 3/5×AC = 2:3.
3 7 of students at a school are boys. If there are 2282 students at the school, how many are girls? plz help me
Answer:
2245
Step-by-step explanation:
2282-37=2245
2245 students are girls
Answer:
1304
Step-by-step explanation:
3/7 of students are boys
total students= 2282
girls are 1-3/7= 4/7 of all students
girls= 2282*4/7= 1304
Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the phone. If he talks to her at school, he's 90% likely to ask hem
to a party. However, he's only 60% likely to ask her over the phone.
This is the tree diagram that represents the probability of Thomas inviting Madeline to a party.
What is the probability of Thomas inviting Madeline to the party over the phone?
Answer:
The probability of Thomas inviting Madeline to the party over the phone is 0.143.
Step-by-step explanation:
Consider the tree diagram below.
The events are denoted as follows:
A = Thomas bumps into Madeline at school
B = Thomas call Madeline on the phone
X = Thomas asks Madeline to the party
The information provided is:
P (A) = 0.80
P (B) = 1 - P (A) = 1 - 0.80 = 0.20
P (X|A) = 0.90
⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10
P (X|B) = 0.60
⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40
The conditional probability of event U given that another events V has already occurred is:
[tex]P(U|V)=\frac{P(V|U)P(U)}{P(V)}[/tex]
The law of total probability states that:
[tex]P(V)=P(V|U)P(U)+P(V|U')P(U')[/tex]
In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).
Use the law of total probability to determine the value of P (X) as follows:
[tex]P(X) = P(X|A)P(A)+P(X|B)P(B)[/tex]
[tex]=(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84[/tex]
Compute the value of P (B|X) as follows:
[tex]P(B|X)=\frac{P(X|B)P(B)}{P(X)}[/tex]
[tex]=\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143[/tex]
Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.
Answer:
84%
Step-by-step explanation:
Its the correct answer
Please help me :( struggling
C. exponential decay
factorize
[tex]9 - 4 {m}^{2} [/tex]
in algebra expression...
Answer:
(3+2m)(3-2m)
Step-by-step explanation:
(3+2m)(3-2m)
0.000000205
In standard form
Answer:
2.05 × 10⁷
Step-by-step explanation:
0.000000205
We'll move the decimal point after the first non-zero digit (as per the scientific notation rules) and the standard form would be :
=> 2.05 × 10⁷
Answer:
205 × [tex]10^{-9}[/tex]
Step-by-step explanation:
[tex]10^{-9} = 0.000000001[/tex]
0.000000001 × 205 = 0.000000205
Triangle J K L is shown. Point N is the midpoint of side J L and point M is the midpoint of side K L. The length of J K is 19.6 meters. The lengths of J N and N L are 7.4 meters. The lengths of K M and M L are 10.7 meters. What is the distance between points M and N?
Answer:
i think 9.8 but im not sure
Step-by-step explanation:
The distance between points M and N is; 9.8 meters.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
From observation, it is given that the line segment MN which joins points M and N is parallel to the line JK. which follows from the fact that M and N are midpoints of KL and JL respectively.
Hence, it states that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality:
NM/19.6 = 7.4/(2×7.4)
Solving;
NM = 19.6/2
NM= 9.8 meters.
This follows that, the ratio of corresponding sides of congruent triangles are equal.
The distance between points M and N is; 9.8 meters.
Read more on congruent triangles;
brainly.com/question/1675117
#SPJ6
The weights (lbs.) of the 5 offensive linemen for the High School football team are as follows: 215, 225, 285, 260, and 250. The median weight is:
A)205 lbs
B)250 lbs.
C)247 lbs.
D)None of these choices are correct.
Pls help as fast as possible
Answer:
452.389342 cubic inches
Step-by-step explanation:
The volume of a sphere is calculated using the formula V = 4/3 pi r^3
to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.
from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.
Note that this is only the volume of 1 sphere, so we multiply by 4
and we get 452.389342 cubic inches
Answer:
452.4
Step-by-step explanation:
Radius of each sphere: 24/4/2=3
Formula for volume: (4pir^3)/3
Formula for 4 spheres: 4 times (4pir^3)/3
Substitute 3 for r
What is an equation in point-slope form of the line that passes through (1, -6) and (4, 6)?
Answer:
[tex]y+6=4(x-1)[/tex] or [tex]y-6=4(x-4)[/tex]
Step-by-step explanation:
We want to find the equation in point-slope form of the line that passes through the two points (1, -6) and (4, 6).
Recall that point-slope form is given by:
[tex]y-y_{1}=m(x-x_{1})[/tex]
Where m is the slope.
Find the slope m using the two given points.
[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{6-(-6)}{4-1} = \frac{12}{3} = 4[/tex]
Substitute. We can use either point. Using the point (1, -6), we acquire:
[tex]y-(-6)=4(x-(1))[/tex]
Simplify:
[tex]y+6=4(x-1)[/tex]
And using the point (4, 6), we acquire:
[tex]y-(6)=4(x-(4))[/tex]
Simplify:
[tex]y-6=4(x-4)[/tex]
HELP!!!!!! PLZZZ!!!!!HELPPPP
Answer:
x=10
Step-by-step explanation:
set it up and solve
2x-1=x+9
2x=x+10
x=10
which system of equations has no sulotion?
Answer:
Here is the answer ...... Check out it
Step-by-step explanation:
An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.
Hope it helps ☺️ CLICK on ♥️
What is the percent of 3.16 to 3.70
Answer:
85.4054%
Step-by-step explanation:
3.16/3.7 × 100
Divide.
0.854054 × 100
Multiply.
= 85.4054
use the elimination method to solve 4x+8y=16 4x-8y=0
Answer:
x=2, y=1
Step-by-step explanation:
4x+8y=16
4x-8y=0
Add the two equations together:
8x=16
Divide both sides by 8:
x=2
Plug this back into one of the original equations to find y:
4(2)-8y=0
8-8y=0
y=1
Hope this helps!
Answer:
x, y = (0, 0)
Step-by-step explanation:
photo math broo
This figure is made up of a triangle and a semicircle. What is the area of this figure? Use 3.14 for pi. Round only your final answer to the nearest tenth. Enter your answer, as a decimal, in the box
Answer:
Area = 14.8 units²
Step-by-step explanation:
Base of Triangle = 2 units
Height of Triangle = 5 units
Radius of the semi circle = 2.5 units
Now,
Triangle:
Area of triangle = 1/2(base*height)
Area = 1/2(2*5)
Area = 1/2(10)
Area = 5 units²
Semi-Circle:
Area of semi-circle = 1/2(πr²)
Area = 1/2(3.14)(2.5)²
Area = 1/2(3.14)(6.25)
Area = 9.8 units²
Area of the figure:
Area = 5 + 9.8
Area = 14.8 units²
What is 3+3/-4+6-34+9
ANSWER:
The answer is -16.75
First divide the division 3/-4 then start the addition and subtraction
Answer:
-67/4 or -16.75
Step-by-step explanation:
Simply plug all of that into the calc and you should get your answer.
Nikolas and his son, and Peter with his son, went fishing. Nickolas caught as many fish as did his son. Peter caught three times as many as his son did. Altogether they caught 35 fish. Nikolas' son's name is Gregory. What is the name of Peter's son? How many fish did each of them catch?
Step-by-step explanation:
4unit is 35
1unit is 35/4 which is 8.75
Lana has a bowl of marbles the bowl contains 5 green marbles,3 red marbles and 2 blue marbles from the bowl one at a time. What is the probability that lana will select a green marble first, replace the marble, then select a red marble
Answer:
3/20
Step-by-step explanation:
5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles
P( green) = green/total = 5/10 = 1/2
Replace
5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles
P( red) = red/total = 3/10
P(green,replace, red) = 1/2 * 3/10 = 3/20
Can anyone help me with this answer:
One of the zeroes of the polynomial 2x2 + 7x –4 is
(A) 2
(B)1/2
(C) -1/2
(D) –2
Answer:
Option B
Step-by-step explanation:
For this we'll put all of these options in place of x
Number 1:
=> [tex]2(2)^2+7(2)-4[/tex]
=> 2(4)+14-4
=> 8+10
=> 18
So, This is not the zero of the polynomial
Number 2:
=> [tex]2(1/2)^2+7(1/2)-4[/tex]
=> 2(1/4)+7/2-4
=> 1/2+7/2-4
=> [tex]\frac{1+7-8}{2}[/tex]
=> [tex]\frac{8-8}{2}[/tex]
=> 0
Yes, This is the zero of the polynomial having zero as an answer
So, We'll end the solution here because we have found the zero of the polynomial.
Hope this helps :)
What is the product?
3 x [1 -4 5 -7]
This looks like scalar matrix multiplication. The idea here is to multiply the scalar 3 by each item inside the matrix.
Doing so leads to the answer [3 -12 15 -21]
Side note: I'm assuming the matrix given to you has 1 row and 4 columns.
What is the decimal multiplier to decrease by 60%?
Answer:
0.4
Step-by-step explanation:
To decrease something by 60% you multiply by 0.4
Answer:
0.4
Step-by-step explanation:
Say you have an object that costs $100.
Now 60% of $100 is $60.
Subtract $60 from $100 and you get $40.
Now $100 × [tex]x[/tex] = $40
[tex]x=0.4[/tex]
$100×0.4=$40
You need to multiply it by 0.4
Beverly has $50 to spend at an amusement park. She plans to spend $10 for food, and $15 for admission to the park. Each ride costs $1.50 to ride.
Answer:
a b c d e f g h i j k l m o n p q r s t u v w x y z n o w i k n o w m y a b c s n e x t t i m e w o n t y o u s i n g w i t h m e
Step-by-step explanation:
cocomelon
A thirty-five ounce bottle of Pedialyte contains 2,500 mg of dextrose. If a child drinks 7 ounces straight from the bottle, how many mg of dextrose will he consume?
Answer:
500 mg
Step-by-step explanation:
amount of dextrose in 35 ounce Pedialyte = 2500 mg
dividing LHS and RHS by 35
amount of dextrose in 35/35 ounce Pedialyte = 2500 /35 mg = 500/7 mg
Thus,
amount of dextrose in 1 ounce Pedialyte = 500 /7 mg
since we have to find amount of dextrose in 7 ounce Pedialyte
we multiply LHS and RHS by 7
Thus,
amount of dextrose in 1 *7 ounce Pedialyte = 500 /7 * 7 mg = 500 mg
amount of dextrose in 7 ounce Pedialyte = 500 mg
Thus, As child consumed 7 ounces of Pedialyte, He consumed 500 mg of dextrose.
does anyone know this??
complete the solution of the equation. Find the value of y when x equals
-30 -2x - 3y = 42
Answer: y = 6
Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.
Train left a station at 835 am and arrives at its destination at 312 pm how long did the journey take
Answer:
5 hours and 50mins
Step-by-step explanation:
8:35 am + 25mins= 9:00am 9:00am+5hours=3:00pm+25mins=3:12pm 25mins+5hours+25mins=5hours and 50 mins
Hope this helps :)
Check all that apply in regards to the given sequence:
5, 8, 11, 14, 17, 20, 23, ...
Answer:
see explanation
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 8 - 5 = 11 - 8 = 14 - 11 = 17 - 14 = 20 - 17 = 23 - 20 = 3
This indicates the sequence is arithmetic
The common difference d = 3
The first term a₁ = 5 and
a₈ = 23 + 3 = 26
Factorize the following :- 12y²_20y+3
Answer:
[tex]\left(6y-1\right)\left(2y-3\right)[/tex]
Step-by-step explanation:
[tex]12y^2-20y+3[/tex]
-20y can be written as -2y + -18y.
[tex]\left(12y^2-2y\right)+\left(-18y+3\right)[/tex]
Factor out 2y from the first expression and factor out 3 from the second expression.
[tex]2y\left(6y-1\right)-3\left(6y-1\right)[/tex]
Factor out the common term 6y-1.
[tex]\left(6y-1\right)\left(2y-3\right)[/tex]
if BPD and dpc have a sum
of 72 degrees What is APC?
A. 18°
B 90°
D.180°