Step-by-step explanation:
Equation (1) is :
x+2=5
Subtract 2 from both sides,
x+2-2=5-2
x=3
Equation (2) is :
2n+5=n
Taking like terms together,
2n-n=-5
n=-5
Equation (3) is :
5(x+2)-7=3x+5
⇒5x+10-7=3x+5
taking like terms together,
5x-3x=5-10+7
⇒2x=2
x=1
Hence, x =3, n = -5 and x = 1 is the required answer.
Solve the system by substitution.
x+y=3
y=x? -5x -5
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PLEASEEEEE HELPPPP MEEEEEEE BRAINLIEST TO THE FIRST ANSWER AND 30 POINTS
Answer:
CD ≠ EF
Step-by-step explanation:
Using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C(- 2, 5) and (x₂, y₂ ) = D(- 1, 1)
CD = [tex]\sqrt{(-1+2)^2+(1-5)^2}[/tex]
= [tex]\sqrt{1^2+(-4)^2}[/tex]
= [tex]\sqrt{1+16}[/tex] = [tex]\sqrt{17}[/tex]
Repeat using (x₁, y₁ ) = E(- 4, - 3) and (x₂, y₂ ) = F(- 1, - 1)
EF = [tex]\sqrt{(- 1+4)^2+(-1+3)^2}[/tex]
= [tex]\sqrt{3^2+2^2}[/tex]
= [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]
Since [tex]\sqrt{17}[/tex] ≈ [tex]\sqrt{13}[/tex] , then CD and EF are not congruent
One week, Grace earned $136.80 at her job when she worked for 8 hours. If she is
paid the same hourly wage, how much would she make the next week if she worked
15 hours?
Answer:
2,054
Step-by-step explanation:
all you have to do is multiply
Answer:
2,054
Step-by-step explanation:
Mary needed to simplify 7x + 5 + 2(3x -5). Which of the following is her next line in the problem?
Answer:
13x - 5
Step-by-step explanation:
7x + 5 + 2(3x -5)
~Distribute
7x + 5 + 6x - 10
~Combine like terms
13x - 5
Best of Luck!
a cell phone company charges 60.00 a month
Answer:
A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes uses and c represents the total charges at the end of the month, Option C = 60 + 0.05d is the linear equation that can be used to determine a user's monthly bill.
Step-by-step explanation:
hope this help ;)
The sum of a number and 17 is 24
Answer:
7
Step-by-step explanation:
24-17=7
Answer:
x+17=24
-----------
(x=7)
Given: l || m; ∠1 ∠3 Prove: p || q Horizontal and parallel lines l and m are intersected by parallel lines p and q. At the intersection of lines l and p, the uppercase left angle is angle 1. At the intersection of lines q and l, the bottom right angle is angle 2. At the intersection of lines q and m, the uppercase left angle is angle 3.
Complete the missing parts of the paragraph proof.
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because __________________ . We see that _______ is congruent to ______ by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the ______________ .
Answer:
It is given
2 is congruent to 3
converse alternate exteriour angles theroum
Step-by-step explanation:
The missing part of the proof is
mentioned in the question, 2 is congruent to 3,
converse alternate angles theorem.
parallel lines are those lines, the perpendicular distance between them remains same and both lines meet at infinite.
Since
∡1 = 3∡
∡2 = 3∡
we can conclude that
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because mentioned in the question . We see that 2 is congruent to 3 by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the converse alternate angles theorem.
Thus, the required data has been filled which is mentioned in the question, 2 is congruent to 3, converse alternate angles theorem.
Learn more about parallel lines here:
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Tell me what a origin is
Answer:
origin is the beggining of something now gimme brainliest
Answer: the origin is the point on the graph where the x-axis and y-axis meet, in other words, the point (0,0)
Step-by-step explanation:
is 5.97 a rational number? This assignment is graded so i need help
Answer:
this is not a rational number
Step-by-step explanation:
cause you cant put it as a fraction
Answer:
Yes.
Step-by-step explanation:
Because it can be written as a fraction:
5 .97 = 5 97/100 or 597/100.
2. Morgan ran 5 miles in 57 and a half minutes. How long did it take her to run each
mile?
___minutes per mile
two fourth-degree polynomials are multiplied together. what is the degree of the product?
Answer:
The product of a fourth degree polynomial and a third degree polynomial is a 7th degree polynomial (just add the two degrees). Why is this the case? Remember, when you multiply variables with common bases, you add the exponents. Since the degree of a polynomial is just the largest exponent, you're really just adding the degrees when you multiply
How do you solve this?
Step by step would be best!
Solve for m
(m-2)/6= ½
Answer:
m = 5
Step-by-step explanation:
Given
[tex]\frac{m-2}{6}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply both sides by 6 to clear the fraction )
m - 2 = 3 ( add 2 to both sides )
m = 5
what is 7(-h -3) = -3(-h+4) what does it equal
Answer: 4
Step-by-step explanation:
Parallel line geometry
==========================================================
Explanation:
See the diagram below. I've extended one of the rays to form a full line. This is shown in red. The alternate interior angles 60 and x are congruent due to the parallel lines, so x = 60.
We can then find angle y
x+y+20 = 180 ... angles of a triangle add to 180
60+y+20 = 180
y+80 = 180
y = 180-80
y = 100
Use this to find z
y+z = 180
100+z = 180
z = 180-100
z = 80
Or you could use the remote interior angle theorem
x+20 = z
60+20 = z
80 = z
z = 80
Identify the Domain of each graph or table.
Answer:
4 < x < 14
Step-by-step explanation:
................
Help! I don't understand this
PQ=5i-4j 3QR+PQ-PQ=11i-4j-(5i-4j)=6i
3QR=6i QR=2i
R=Q+2i R=(4, 1)
Write the factors of a2-b2.
5 1/6 divided by 7/10
(simplify and make a fraction)
Answer:
[tex]\frac{155}{21}[/tex]
Step-by-step explanation:
[tex]5\frac{1}{6} = \frac{31}{6}[/tex] Re-write the expression: [tex]\frac{31}{6}[/tex] ÷ [tex]\frac{7}{10}[/tex] 31/6 ÷ 7/10 = 31/6 × 10/7[tex]\frac{31}{6}[/tex] × [tex]\frac{10}{7} = \frac{310}{42}[/tex] 310/42 = 155/21I hope this helps!
Mr freeman gave his students a 10- problem,multiple choice quiz over equations. In grading the test, he gave students ten points for each correct answer
Answer:
(1, 2, 3, 4, 5, 6, 7, 8, 9, 10) discrete
Step-by-step explanation:
I think you're missing part of the question, but I just took a test with a similar question, so I'm assuming it's the same thing.
Good luck!
What is the solution to the following inequality below? 3 > fraction 11+x over 4 > -3 Side Note: The last > should have a solid line underneath it
Answer:
1 > x ≥ -23
Step-by-step explanation:
[tex]3>\dfrac{11+x}{4}\ge -3\\\\12>11+x\ge-12\qquad\text{multiply by 4}\\\\\boxed{1>x\ge-23}\qquad\text{subtract 11}[/tex]
A grocery store steak sells $6.00 per pound. What would be the cost of 2.6 pounds of steak?
if 2 more than 3 times x is equal to 5 times less than 10 times, what is the value of x
HELP IM TIMED JUST ONE LAST QUESTION
Answer:
B
Step-by-step explanation:
may I please have brainlyest
Answer:
The correct answer would be B
Step-by-step explanation:
if you divide out 1,987 divided by 2 you would end up with a decimal number which means that there will be a remainder.
How would you write 9^4 as an equivalent expression using a base of 3
Answer:
100000000
Solution:
9^4=6561
3^0=1
3^1=3
3^2=9
3^3=27
3^4=81
3^5=243
3^6=729
3^7=2187
3^8=6561
6561=(1×3^8)+(0+3^7)+(0×3^6)+(0^3^5)+(0×3^4)+(0×3^3)+(0×3^2)+(0×3^1)+(0×3^0)
100000000 with the base of 3
please match the words to the picture:)
Solve the equation. Write a reason for each step 3x+8=14
[tex]\text {HI! Let's Solve this Equation!}[/tex]
[tex]\text {\underline {The First Step is to Subtract 8}}[/tex]
[tex]\text {3x+8-8=14-8}[/tex]
[tex]\text {\underline {The Final Step is to Divide 3}}[/tex]
[tex]\text {3x/3=6/3}[/tex]
[tex]\text {Your Answer Would Be:}[/tex]
[tex]\fbox {x=2}[/tex]
[tex]\text {Best of Luck!}[/tex]
Answer:
x = 2
Step-by-step explanation:
3x + 8 = 14
Step 1: Subtract 8 from both sides.
3x + 8 = 14
-8 -8
3x = 6
Step 2: Divide both sides by 3 to get x alone.
3x = 6
3 3
x = 2
Which is defined using the undefined terms point and line?
A) angle
B) circle
C) parallel lines
D) ray
Answer:
i would say circle cause there no evan lines angles or points in it
Step-by-step explanation:
The object which is defined using undefined terms of points and lines is option D)
D) Ray
Reason for electing the above option is as follows;
Undefined terms are terms that are not required to be given formal definition in them selves and they include the terms set, plane, line, and point
A point is a dimensionless marker of position and it is indicated in geometry by a capital letter. In geometry, a point is the most elementary entity
A line is an infinitely long and straight geometric object that is defined and named by any two points located on it
A ray is a subset of a line that extends long straight infinitely in one direction, and has a starting point
Therefore, the geometrical object defined by a point and a line is a ray and the correct option is option D)
Learn more about definition of geometric objects here;
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x + 5y +3z = 4
4y – z=3
6x – 2y + 4z = 0
Answer:
x = [tex]\frac{1}{4}[/tex]
y = [tex]\frac{3}{4}[/tex]
z = 0
Step-by-step explanation:
You first need to solve for a variable, it won't be as easy as x = 3, you are looking to replace a variable with another equation.
For example, the second equation, 4y-z=3, I can either solve for y or z. It won't be a numerical value but it will get you a step closer.
4y-z=3
4y=z+3
y = [tex]\frac{z}{4} +\frac{3}{4}[/tex]
Then you are able to use substitution to negate one of the variables and solve for the other two variables. I won't type that but I think you get the idea.
A rectangular fish tank is 60.00 cm long, 200.00 mm wide, and 200.00 m deep.
a) what volume of water can it hold?
b) what is the mass of the water?
Answer:
Step-by-step explanation:
You will add 200.00+200.00 that will give us 400.00+60.00= 460.00
3.) A glass of water is being filled up slowly. It initially starts out with 4
ounces of water and fills at a constant rate of 3/2 ounces per minute. How
long will it take to fill the glass if it can hold 16 ounces?
8 minutes
12 minutes
24 minutes
18 minutes
Answer:
8 minutes
Step-by-step explanation:
The amount in the glass after m minutes can be described by ...
a = 4 + 3/2m
We want to find m when a=16, so ...
16 = 4 + 3/2m
12 = 3/2m . . . . . subtract 4
8 = m . . . . . . . . . multiply by 2/3
It will take 8 minutes to fill the glass.
