Answer:
z = -3
Step-by-step explanation:
Simplifying
3z + -3 = 2z + -6
Reorder the terms:
-3 + 3z = 2z + -6
Reorder the terms:
-3 + 3z = -6 + 2z
Solving
-3 + 3z = -6 + 2z
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-2z' to each side of the equation.
-3 + 3z + -2z = -6 + 2z + -2z
Combine like terms: 3z + -2z = 1z
-3 + 1z = -6 + 2z + -2z
Combine like terms: 2z + -2z = 0
-3 + 1z = -6 + 0
-3 + 1z = -6
Add '3' to each side of the equation.
-3 + 3 + 1z = -6 + 3
Combine like terms: -3 + 3 = 0
0 + 1z = -6 + 3
1z = -6 + 3
Combine like terms: -6 + 3 = -3
1z = -3
Divide each side by '1'.
z = -3
Simplifying
z = -3
Answer:
=3z+3=2z+6
=3z-2z=6-3
=z=3
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The cost of a DVD box set increased from $30 to $35. A student says that this represents a 5% increase in the price. Explain the student’s error. What is the actual percent increase?
Answer:
17%
Step-by-step explanation:
$30-100%
$35-x%
x%=35*100/30
x%=116.6%
116.6%-100%=16.6%~17%
What type of number is - v 81?
Answer:
rational
Step-by-step explanation:
(x + y + z = 3
-y = x
2z + 3y = 0
What does x and y equal?
Answer:
x=2 and y=-2
Step-by-step explanation:
Sue wants to put a rectangular garden on her property using 88 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the rectangle. (Fencing is then needed only on the other three sides.) Let x represent the length of the side of the rectangle along the river. Express the garden's area as a function of x. what is the largest area that can be enclosed?
Answer:
Area = 44x - x²/2
Step-by-step explanation:
Given that:
Meter of fencing = 88m
Length of side of rectangle along the river = x
Only one more length is needed since river as been used as one side length of the fence.
Length = x
Width of rectangle = y = 2y (for both sides)
Hence ;
x + 2y = 88 meters
Expressing in terms of y
2y = 88 - x
y = (88 - x) / 2
y = 44 - x/2
Area of rectangle = Length * width
Area = x * y
Area = x * (44 - x/2)
Area = 44x - x²/2
Maximum. Area :
Perimeter = 4s
88 = 4s
s = 88/4 = 22
x = 2(22) = 44 = Length ; y = 22 = width
Maximum area = (22 * 44) = 968m²
Bonnie bought 5 pounds of apples for 8$. Don bought apples for $0.40 more per pound than Bonnie. How much did Dan spend per pound for his apples?
I need help with this
Answer:
B
Step-by-step explanation:
What is an equation of the line that passes through the points (4, -1) and
(-8, – 7)? Put your answer in fully reduced form.
Answer:
y= x/2-3
Step-by-step explanation:
I need help !!!!! Please !!!! Thank youuu
Answer:
∠ S = 55°
Step-by-step explanation:
∠ R and ∠ S are vertical angles and congruent, thus
∠ S = ∠ R = 55°
Can anybody please help me out with this question please I would really appreciate it so much. please and thank you .
Answer:
∠ BAF = 140°
Step-by-step explanation:
Since BD is a tangent to the circle at point B , then
∠ ABD = 90°
The exterior angle of a circle is equal to the sum of the 2 opposite interior angles.
∠ BAF is an exterior angle, thus
∠ BAF = ∠ ABD + ∠ BDA = 90° + 50° = 140°
-95=14x-7+30x
plz show work ty :)
Answer:
x = -2
Step-by-step explanation:
-95= 14x - 7 + 30x (collect like terms)
-95 = 44x - 7 (add 7 on each side)
-88 = 44x (divide by 44 on each side)
-2 = x
How many 1/8's are in 1/2 inch?
A.
8.
B
6
c
4
D
3
Answer:
C
Step-by-step explanation:
ok so i was walking with my computer and fell in a hole and i cant get out what do i do HELP ME
First you go on the computer and you know how there's always a FBI agent watching you? You tell the FBI agent that your stuck in a hole and you need help. Then the FBI agent will send their team to come and get you but it won't be so easy because why? The little old lady you ran over decided to get revenge and set up a trap. so now it's the FBI vs The little old lady
the FBI starts to shoot at the Old Lady but she moves so fast she like lighting then she goes to attack the FBI agent but then the FBI agent reveals himself as the her grandson! Apparently he was able to get away and survive her attack since this caught the old lady off guard the grandson smashes cookies into her face and help you out of the hole
your welcome
Answer:
try to contact someone online if they are also the police department now has a online chat if you dont have a moblie device at hand
Step-by-step explanation:
x-2y=-13 4x=2y=18 subsitutuion
4. A person is earning P600 per day to do a certain job. Express the total salary
S as a function of the number n of days that the person works.
Answer: S = P600 × n
Step-by-step explanation:
Amount earned per day = P600
Number of days used = n
The total salary s, will be the value of p600 multiplied by n. This will be:
= P600 × n
Therefore, the function regarding the total salary, s will be: P600 × n
Convert 3,200,000 to scientific notation.
3.2 ⋅ 106
3.2 ⋅ 105
3.2 ⋅ 10−6
3.2 ⋅ 10−5
Connor bought a baseball card eight years ago that has depreciated (goes down in value) by $120 since he purchased it. Find the average yearly change in the value of the card.
and show me how did you do it
Answer:
-$15
Step-by-step explanation:
To find the average yearly change, divide -120 by 8, since it has decreased by $120 over 8 years.
-120/8
= -15
So, the average yearly change in the value of the card is -$15
Answer:
$120/8= $15 in a year.
15 times 8 is 120.
My Work:
You can go to google and type in 120/8
12. The perimeter of a rectangle is 50 feet. The width is 5 less than the
length. What are the dimensions of the rectangle? (Write your answer as
Length, Width)
Step-by-step explanation:
Length = x
Width = (x-5)
Perimeter = 2 lengths + 2 widths
50 ft = x + x + (x-5) + (x-5)
50 ft = 4x - 10
60 ft = 4x
15 ft = x
length = x = 15 ft
width = (x-5) = (15 -5) = 10 ft
dimensions = length × width
= 15 ft × 10 ft
if you wanna check,
50 ft = x + x + (x-5) + (x-5)
50 ft = 15 + 15 + (15-5) + (15-5)
50 ft = 30 +(10+10)
50 ft = 30 + 20
50 ft = 50
PLEASE HELP!!
Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and chose for a reason “Cannot be determined.”
a
Is ∆GAS ≅ △_____
By rule____
Answer:
ΔGAS ≅ ΔIOL By the Angle-Angle-Side (AAS) rule of congruency
Step-by-step explanation:
The given information are;
Statement [tex]{}[/tex] Reason
Segment [tex]\overline {SA}[/tex] is congruent to [tex]\overline {OL}[/tex] [tex]{}[/tex]As shown in the diagram provided
∠SAG is congruent to ∠LOI [tex]{}[/tex] As shown in the diagram provided
∠SGA is congruent to ∠LIO [tex]{}[/tex] As shown in the diagram provided
Therefore, ΔGAS ≅ ΔIOL By the Angle-Angle-Side (AAS) rule of congruency
Given that the the number of interior angles of triangle = 3 and the sum of the interior angles of a triangle = 180°, the third angle can be defined by specifying the measure of two of the angles
Therefore, the Angle-Angle (AA) rule of similarity can be used to prove the congruency of two triangles when they have one side of each triangle which are congruent.
Answer:
∆GAS ≅ △IOL By rule ASA, AAS
Step-by-step explanation:
By looking at the triangle, you can see two little quarter-circle things inside the triangle (I don't know what they are called). That means it has 2 angles. We already know that it can't be SSS or SAS because we have 2 angles, as I said.
If you look at the triangle's sides, you can see that there is a side with a dash on it. That means that it is a side in ASA, AAS, etc. So there we go. We've figured it out. There is one side and two angles. Therefore, our answer is ASA or AAS
On Monday, Jayla raised $30 and Carlos raised $50.
After that, Jayla raised $12 per day and Carlos
raised $7 per day. After how many days will they
have raised the same amount?
They will raise the same amount after days.
Answer:
84 days
Step-by-step explanation:
You would use the LCM to solve this.
12 and 7 don't share any common factors other than 1,
so you would multiply 12 x 7, which gets you 84.
After 84 days they would have raised the same amount.
Which function is the inverse of f(x) = 2x + 3?
Answer:
m=2
Step-by-step explanation:
what is the absolute of the integer of 6
Answer:
i think its 6...
Step-by-step explanation:
it's basically how far is it from 0 sooo
Answer:
6
Step-by-step explanation:
Positive 6 is six away from 0, therefore the answer is 6.
HELP PLZ RN<3
which graph displays a rate of change of 2.5?
Answer:
The second graph.
Step-by-step explanation:
The first graph has a negative slope, so that can't be the right answer.
The last graph isn't steep enough to show a rate of 2.5.
This leaves us with the middle graph which is correct.
Jessica had 167 dollars to spend on 6 books. After buying them she had 17 dollars. How much did each book cost ?
Answer:
6 $
Step-by-step explanation:
167$-17$=150$cost 6 books
150 $:6 =25$cost a book
simplify.show work
(3·9-3²)-10
thanks please show work
Answer:
8
Step-by-step explanation:
We will use a variety of elementary arithmetic skills to evaluate this expression.
The order of operations goes as follows:
P-Parentheses
E-Exponents
M-Multiplication
D-Division
A-Addition
S-Subtraction
For M and D, they are to be done left to right. Same with A and S. Now, we will apply this to our expression.
[tex](3*9-3^2)-10\\(3*9-9)-10\\(27-9)-10\\18-10\\8[/tex]
What is the rate of change of the following equation? 2y + x = -2
Answer:
-1/2
Step-by-step explanation:
The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f(x)=x2,[2,3]f(x)=x2,[2,3]
−12-12
Please help legit things only or you get banned thanks!!!!!!!!!!!!!
suppose y varies directly as x. If y = 30 when x = 8, find y when x = 4
Answer:
15
Step-by-step explanation:
I hope you have a great day and welcome to brainly!
If you buy a ticket in a certain lottery game, 30% of the players will get paid 1
$2,20% of the players will get paid $5, and 5% of the players will get paid
$25. All other players get paid nothing. What is the expected amount that a
player of this lottery game will get paid?
Answer:
most are expected to get nothing
Answer:
You're at a carnival and you see a game. For $2 you roll a standard six-sided die. If the number showing is a six you win $10, otherwise, you win nothing. If you're trying to make money, is it in your interest to play the game? To answer a question like this we need the concept of expected value
Step-by-step explanation:
Is a teachers popularity independent of their effectiveness? Yes or No
Answer:
Yes it is (Hope this helped!)
An equivalent fraction for 2/3 is ____
2/6
10/15
8/15
1/3