Answer:
x = 3
z = (-21)/2
x = 9
x = 1/7
Step-by-step explanation:
Solve for x:
6 x - 5 = 2 x + 7
Subtract 2 x from both sides:
(6 x - 2 x) - 5 = (2 x - 2 x) + 7
6 x - 2 x = 4 x:
4 x - 5 = (2 x - 2 x) + 7
2 x - 2 x = 0:
4 x - 5 = 7
Add 5 to both sides:
4 x + (5 - 5) = 5 + 7
5 - 5 = 0:
4 x = 7 + 5
7 + 5 = 12:
4 x = 12
Divide both sides of 4 x = 12 by 4:
(4 x)/4 = 12/4
4/4 = 1:
x = 12/4
The gcd of 12 and 4 is 4, so 12/4 = (4×3)/(4×1) = 4/4×3 = 3:
Answer: x = 3
____________________________________
Solve for z:
3 z - 2 = 5 z + 19
Subtract 5 z from both sides:
(3 z - 5 z) - 2 = (5 z - 5 z) + 19
3 z - 5 z = -2 z:
-2 z - 2 = (5 z - 5 z) + 19
5 z - 5 z = 0:
-2 z - 2 = 19
Add 2 to both sides:
(2 - 2) - 2 z = 2 + 19
2 - 2 = 0:
-2 z = 19 + 2
19 + 2 = 21:
-2 z = 21
Divide both sides of -2 z = 21 by -2:
(-2 z)/(-2) = 21/(-2)
(-2)/(-2) = 1:
z = 21/(-2)
Multiply numerator and denominator of 21/(-2) by -1:
Answer: z = (-21)/2
________________________________________
Solve for x:
5 x + 2 x - 15 = 4 x + 12
Grouping like terms, 5 x + 2 x - 15 = (5 x + 2 x) - 15:
(5 x + 2 x) - 15 = 4 x + 12
5 x + 2 x = 7 x:
7 x - 15 = 4 x + 12
Subtract 4 x from both sides:
(7 x - 4 x) - 15 = (4 x - 4 x) + 12
7 x - 4 x = 3 x:
3 x - 15 = (4 x - 4 x) + 12
4 x - 4 x = 0:
3 x - 15 = 12
Add 15 to both sides:
3 x + (15 - 15) = 15 + 12
15 - 15 = 0:
3 x = 12 + 15
12 + 15 = 27:
3 x = 27
Divide both sides of 3 x = 27 by 3:
(3 x)/3 = 27/3
3/3 = 1:
x = 27/3
The gcd of 27 and 3 is 3, so 27/3 = (3×9)/(3×1) = 3/3×9 = 9:
Answer: x = 9
__________________________________________
Solve for x:
35 x + 2 = 7
Subtract 2 from both sides:
35 x + (2 - 2) = 7 - 2
2 - 2 = 0:
35 x = 7 - 2
7 - 2 = 5:
35 x = 5
Divide both sides of 35 x = 5 by 35:
(35 x)/35 = 5/35
35/35 = 1:
x = 5/35
The gcd of 5 and 35 is 5, so 5/35 = (5×1)/(5×7) = 5/5×1/7 = 1/7:
Answer: x = 1/7
Solve the equation, justify
each step with an algebraic
property.
-2x = x – 5
Answer:
x= 1.66 repeating
Step-by-step explanation:
Let's solve your equation step-by-step.
−2x=x−5
Step 1: Subtract x from both sides.
−2x − x = x − 5− x
−3x=−5
Step 2: Divide both sides by -3.
-3x/-3=-5/-3
Answer:
x=1.66 repeating
Can you find the solution
A
B
C С
1. How many blue rhombus blocks does it take to build a scaled copy of Figure A:
a. Where each side is twice as long?
b. Where each side is 3 times as long?
c. Where each side is 4 times as long?
Can some plz help me
Answer:
c
Step-by-step explanation:
Help!!!! I don’t really understand sloped so any help would be helpful.
Answer: The slope is -2.
Step-by-step explanation:
Since the line is going through the origin it means that if you find a point on the line and divided the y coordinate of point by it's x coordinate then you will get the slope or the constant change value.
The equation of a proportional line says that y = kx where k is the slope.
And to find k, you will divide y by x.
One point that is located on the line is (-1,2) The y coordinate is 2 and the x coordinate is -1.
Divide 2 by -1 to find the slope.
2/-1= -2
This means the slope is -2.
Can you guys please help me with this math problem
Answer: I believe that its the second one, the third one, and the fifth one. Have a great day and good luck!
Step-by-step explanation:
Answer:
the first isnt true, the second is true, the third fourth and fifth are correct and the sixth is false
Step-by-step explanation:
I’ve cram shop sold 501 cones. They sold 501 cones. They sold 1/2 as many chocolate as vanilla. Write and equation & solve the problem.
Answer:
i want some kitty Kat
What is 17% written as a decimal? Will give brainiest for fastest and correct answer!!!
What is 17% written as a decimal?
a.
0.0017
b.
0.017
c.
0.17
d.
1.7
Answer:
0.17
Step-by-step explanation:
Answer:
C) 0.17
Step-by-step explanation:
There is an invisible decimal behind the 17 in 17% and you have to move that decimal to the right twice. Which makes 17% become 0.17
factor 2x^2 - 7x = 0
Answer: x=3.500
Step-by-step explanation: product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
2x-7 = 0
Add 7 to both sides of the equation :
2x = 7
Divide both sides of the equation by 2:
x = 7/2 = 3.500
Determine the next 4 terms in the sequence.
8, 11, 14, 17, ...
Answer:
20, 23, 26, 29
Step-by-step explanation:
Which of these values could be the slope of the line? Select two options.
–2
0
3
Answer:
3
Step-by-step explanation:
The slope is positive since it goes from the bottom left to top right so 3 is the only choice
Answer: 3
Step-by-step explanation:
The line is increasing (meaning it's pointing to the right), so that means the slope must be a positive value. When the slope is 0, the line is flat. When the slope is negative, it's decreasing (pointing to the left).
1. 1) Simplify the following expression: 5b - 5 - 12b - 7
Step-by-step explanation:
Here is your answer in the screen shot please check there
the value of f(2) for the function f(x)=2x+1
Answer plsssssssssssssss
Answer:
i can't see the full question
Step-by-step explanation:
Step-by-step explanation:
Okay, so we know that exponents mean a number times itself.
Numerator: 4x4x4x4x4x4x4= 16,384
Denominator: 4x4x4x4x4= 1,024
Now, since it is a fraction, we divide the two.
16,384/1,024= 16
Thus, your answer is 16 ;)
A truck can be rented from Company A for $100 a day plus $0.20 per mile. Company B charges $40 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
at mile 160, both will cost 300
Solve for the solution: 2m+1≥7
Answer:
m≥3
Step-by-step explanation:
Answer:
m≥3
Step-by-step explanation:
If a || b, m<2 = 63°, and m<9 = 105°, give the measure of each angle.
m<1 =
M<3=
m<4=
m<5=
m<6=
m<7=
m<8=
m<10=
m<11=
m<12=
m<13=
m<14 =
Answer:
a. m<1 = 105° - 63° m<1 = 42°
b. m<3 + m<2 + m<1 = 180° m<3 = 75°
c. m<4 = m<1 m<4 = 42°
d. m<5 = m<2 m<5 = 63°
e. m<6 = m<3 m<6 = 75°
f. m<7 = m<9 m<7 = 105°
g. m<8 = m<6 m<8 = 75°
h. m<10 = m<8 m<8 = 75°
i. m<11 = m<4 m<11 = 42°
j. m<12 = 180° - m<11 m<12 = 138°
k. m<13 = m<11 m<13 = 42°
l. m<14 = m<12 m<14 = 138°
Step-by-step explanation: Sorry if not all are correct
Applying the relationship existing between angle pairs, the measure of each angle in the image are:
m<1 = 42°
m<3 = 75°
m<4 = 42°
m<5 = 63°
m<6 = 75°
m<7 = 105°
m<8 = 75°
m<10 = 75°
m<11 = 42°
m<12 = 138°
m<13 = 42°
m<14 = 138°
Given that a || b, where:
m<2 = 63°m<9 = 105°, the missing angle measures will be determined as follows:Find m<1:
m<1 + m<2 = m<9 (exterior interior angle theorem)
Substitutem<1 + 63° = 105°
m<1 = 105° - 63°
m<1 = 42°
Find m<3:
m<1 + m<2 + m<3 = 180° (angles on a straight line)
Substitute42° + 63°+ m<3 = 180°
105° + m<3 = 180°
m<3 = 180° - 105°
m<3 = 75°
Find m<4:
m<4 = m<1 (vertical angles theorem)
Substitutem<4 = 42°
Find m<5:
m<5 = m<2 (vertical angles theorem)
Substitutem<5 = 63°
Find m<6:
m<6 = m<3 (vertical angles theorem)
Substitutem<6 = 75°
Find m<7:
m<7 + m<6 = 180° (corresponding angles theorem)
Substitutem<7 + 75° = 180°
m<7 = 180° - 75°
m<7 = 105°
Find m<8:
m<8 = m<6 (alternate interior angles theorem)
Substitutem<8 = 75°
Find m<10:
m<10 = m<6 (corresponding angles theorem)
Substitutem<10 = 75°
Find m<11:
m<11 = m<4 (alternate interior angles theorem)
Substitutem<11 = 42°
Find m<12:
m<12 = m<6 + m<5 (alternate interior angles theorem)
Substitutem<12 = 75° + 63°
m<12 = 138°
Find m<13:
m<13 = m<11 (vertical angles theorem)
Substitutem<13 = 42°
Find m<13:
m<14 = m<12 (vertical angles theorem)
Substitutem<14 = 138°
Learn more here:
https://brainly.com/question/24607467
Can you find the equation of a line parallel to the green
line through the point (-5,-3). Write you equation in
point-slope form.
Answer:
[tex]\displaystyle y+3=-\frac{4}{5}(x+5)[/tex]
Step-by-step explanation:
The point-slope form of the equation of a line is:
y-k=m(x-h)
Where m is the slope and (h,k) is a point through which the line passes.
We are required to find the equation of the line passing through the point (-5,-3) and parallel to the green line shown in the graph.
We need to find the slope of the green line. Once we have the slope, we will have the slope of our line since parallel lines have the same slope.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can clearly identify the following points in the green line: (0,4) (5,0):
[tex]\displaystyle m=\frac{0-4}{5-0}=-\frac{4}{5}[/tex]
Now we have the slope and the point, the equation of the line is:
[tex]\displaystyle y-(-3)=-\frac{4}{5}(x-(-5))[/tex]
[tex]\boxed{\displaystyle y+3=-\frac{4}{5}(x+5)}[/tex]
Given 9, 12, 15, 18, 21, 24 ... Write an algebraic representation for this sequence.
Answer:
tn=9+3(n-1)
Step-by-step explanation:
Formula: tn=t1+d(n-1)
AKA: term n=term 1 plus common difference times n minus 1
For this sequence: tn=tn; t1=9; common difference=3; n-1=n-1
Plug in the answer: tn=9+3(n-1)
HELP ME PLEASE!!!!!!!!!
place the following in order least to greatest
square root of 11
square root of 40
6
5
Answer:
sqaure root of 11
5
6
square root of 40
Step-by-step explanation:
square root of 11- 3.31
sqaure root of 40- 6.32
6
5
hope this helps :)
-5 ( x + 7) = -5x + 35
Step-by-step explanation:
Let's solve your equation step-by-step.
−5(x+7)=−5x+35
Step 1: Simplify both sides of the equation.
−5(x+7)=−5x+35
(−5)(x)+(−5)(7)=−5x+35(Distribute)
−5x+−35=−5x+35
−5x−35=−5x+35
Step 2: Add 5x to both sides.
−5x−35+5x=−5x+35+5x
−35=35
Step 3: Add 35 to both sides.
−35+35=35+35
0=70
Answer:
There are no solutions.
Answer:
x= no solution
Step-by-step explanation:
-5(x+7)=-5x+35
-5x-35=-5x+35
+5x +5x
-35= 35
+35 +35
0=70
x=no solution
When x doesn't equal anything, and 0 doesn't equal 0, there is no solution to make the equation true. When 0=0, x can equal any value.
−24 − (18 ÷ 6) × (−12)
Answer:
12
Step-by-step explanation:
Answer:
The expression is equal to 12.
Step-by-step explanation:
[tex]-24-(18 / 6)*(-12)[/tex]
First of all, compute the parenthesis.
18 / 6 = 3
Now, replace 18/6 with 3 in our expression.
[tex]-24-(18 / 6)*(-12)[/tex]
[tex]-24-(3)*(-12)[/tex]
Next, compute the multiplication.
-12 * 3 = -36
Again, we'll replace that multiplication with negative 36:
[tex]-24-(3)*(-12)[/tex]
[tex]-24-(-36)[/tex]
Since subtracting a negative number is the same as adding a positive number:
[tex]-24-(-36) = -24+36[/tex]
Compute the addition:
[tex]-24+36=12[/tex]
[tex]-24-(18 / 6)*(-12) = 12[/tex]
Answer: The expression is equal to 12.
Identify the slope and y-intercept of this graph.
•
slope = 2, y-intercept = 1
slope = 2, y-intercept = 1
slope = 2, y-intercept = -1
slope = -2, y-intercept = -1
Identify the slope and y-intercept of this graph.
Answer:
Step-by-step explanation:
Looking at the first graph, we see that if x increases from 0 to 1, y decreases from 2 to 0:
m = rise / run = -2/1 = -2
Arbitrarily choose the reference point (1, 0).
Then y = mx + b becomes 0 = -2(1) + b, where b is the y-intercept.
Then b = 2, and the desired equation is
y = -2x + 2
Answer:
15. slope=-2
y-intercept=2
16. slope=2
y-intercept=1
Step-by-step explanation:
ya kinda dub scalliwag, all you need to do is find the growth factor and starting point
If 5x kilos of carrots cost php 900.00 pesos, how much is the price per kilo?
Answer:
180 pesos
Step-by-step explanation:
divide 900 by 5
El radio de la rueda de una bicicleta mide 30cm ¿cuanto avanza la bicicleta en cada vuelta?
The rental fee for space at a flea market is $200 per month base rate
plus an additional $10 for each square yard of floor space beyond the
standard area of 12square yards. The total fee can be modeled using the
equation in the box, where "F" represents the fee, and "x" represents the
number of square yards rented beyond the standard area. What is the
most reasonable meaning of the number 10 in this equation?
Answer:
anor soi sena orka uzumo senda?
In the figure below, Triangle A has been rotated about the origin. Which Triangle shows a 270 degree counterclockwise rotation?
Answer:
Square
Step-by-step explanation:
What is the exact value of Cosine (StartFraction 11 pi Over 21 EndFraction) cosine (StartFraction pi Over 7 EndFraction) minus sine (StartFraction 11 pi Over 21 EndFraction) sine (StartFraction pi over 7 EndFraction)?
Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Negative one-half
One-half
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answer:
Option (2)
Step-by-step explanation:
Given trigonometric expression is,
[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex]
This expression is in the form of an identity,
cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
By substituting the values of A = [tex]\frac{11\pi}{21}[/tex] and B = [tex]\frac{\pi}{7}[/tex] in the identity,
[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex] = cos[tex](\frac{11\pi}{21}+\frac{\pi}{7})[/tex]
= cos[tex](\frac{11\pi+3\pi}{21})[/tex]
= cos[tex](\frac{14\pi}{21})[/tex]
= cos[tex](\frac{2\pi}{3})[/tex]
= -[tex]\frac{1}{2}[/tex]
Therefore, Option (2) will be the answer.
Answer:
B. -1/2
Step-by-step explanation:
on edge
10 multiplied by 1/2
If I have $100 dollars and spend $99.99 dollars, how much money do I have left?
Answer:
You have $00.01
Step-by-step explanation:
100-99.99=0.01
Answer:
A cent.
Step-by-step explanation:
100 - 99.99 = 0.01
You would have $0.01, or a cent, left.
Hope this helps.