Solve each equation and show all your work.
6x - 5 = 2x + 7
3z - 2 = 5z + 19
5x - 15 + 2x = 4x + 12
35x + 2 = 7
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
Sherry needs to have at least $1600 in her bank account at the end this month. She works at a restaurant where she earns $18 an
hour. This month she has to pay her car payment of $200. How many hours does Sherry need to work to save up enough money.
Answer: 100 hours
Step-by-step explanation:
She has to get a total of 1800 dollars. Since she works 18 dollars an hour, divide 1800 and 18.
1800/18 = 100 hours
you start hiking at an elevation that is 550 meters below sea level.you increase your elevation by 45 meters.what is the new elevation? write an addition and evaluate.
Answer:
-550+45=(-505)
Step-by-step explanation:
You are at -505 meters below sea level
Answer:
You are now 38 m below base camp.
Step-by-step explanation:
Consider the provided information.
You start hiking at an elevation that is 80 meters below base camp.
Now your initial location is 80 m below base camp, that can be represents as: -80
Now you increase your elevation by 42.
So you go up by 42.
In other words, you get the equation -80+42 = -38.
Since, a negative value is below the base camp, this means that you are now 38 m below base camp.
Answer asap I really need too pass
Answer:
Yes, the bill is reasonable because 11+8+3+5+5=32, which is very close to 31.44.
Please help thank you so much!<3
Answer:
A.) 1/16
Step-by-step explanation:
Remove parenthesis 2^-4
Use negative power rule 1/2^4
Simplify 2^4 to 16
Answer 1/16
Answer:
1/16 is the answer to that
Step-by-step explanation:
if the exponent is negative, you will bring it down with the whole number and change the sign to positive, hope this helps!! have an nice day!!
parker wants to price the total cost of a new coat the coat cost $15.99 plus taxes there is a 7% tax on the coat how much taxes will she have to pay
Answer:
$17.11
Step-by-step explanation:
15.99*1.07 = 17.109 round up and you get 17.11
What is 9*12 divided by 3
Answer:
36
Step-by-step explanation:
you would multiply and then divided
need help with this problem please
Without showing the graph, explain how Maria’s graph of the two lines proves Peter is not correct.
Answer:
90
Step-by-step explanation:
90
3x-5<19 Fill in the blanks to show the steps in solving the inequality.
Answer:
8
Step-by-step explanation:
3x - 5 <19
3x <19 +5
3x <24
x <24 :3
x <8
What is the value of the expression below
Answer:
A. 10
Step-by-step explanation:
−x+y=−5
What is the value of the x-intercept?
What is the value of the y-intercept?
Remember when finding the x-intercept you cover up the y (put 0 in for y) and solve for the x value.
Answer:
see below
Step-by-step explanation:
−x+y=−5
To find the x intercept, let y=0 and solve for x
-x +0 = -5
-x = -5
x=5
The x intercept is 5
To find the y intercept, let x=0 and solve for y
0 +y = -5
y = -5
The y intercept is -5
Write a loss of $20 as an integer.
Answer:
-20
Step-by-step explanation:
you loss means it's a negative number
Answer:
-20
Step-by-step explanation:
-20 if added to a number, such as 40, it's would result in 20.
PLEASE HELPP PLEASEEEEEEEE DUE SOOONN PLEASEEE PLEASEEE
Wilson and William meet in the computer lab to type up their
assignments. Wilson can type at a speed of 29 words per minute, and
William can type 30 words per minute. Wilson already has 972 words typed
up, William has typed 971 words. They sit down and start typing together,
the two students will reach the same word count before long. How long will
that take? What will the word count be?
Answer: 4 hours and 10 minutes
Step-by-step explanation: YALL know that I don’t want to explain (It’s an LONG story) Divide the length of the document by the number of words per minute to find the number of minutes it will take. The number of minutes can then be divided by the number of minutes in an hour. 250 minutes is equivalent to 4 hours and 10 minutes.
Answer:
mmmm not sure but I think is in 1 minute xD
Step-by-step explanation:
wilson has 972+29(1 minute)= 1001
william has 971+30(1minute)=1001
The store is 15 min. away from my house, it takes 30 min. to get to and from the store. How come my dad isn't back with milk yet?
Answer:
What dad?
Step-by-step explanation:
he ran away. or hes with somebody
Answer:
Traffic
Step-by-step explanation:
three more than a certain number is 6 less than 4 times that same number. what is the number?
Answer: 3
Step-by-step explanation:
Let x = the number
x + 3 = 4x - 6
-3x = -9
x = 3
The number that's represented by the information given will be 3.
Let the number be represented by x.
Since three more than a certain number is 6 less than 4 times that same number, then the number will be calculated thus:
x + 3 = (4 × x) - 6
x + 3 = 4x - 6
Collect like terms
4x - x = 3 + 6
3x = 9
x = 9/3
x = 3
Therefore, the value of the number will be 3.
Read related link on:
https://brainly.com/question/18234349
Please help me I need to solve by factoring!!
Answer:
x=5
Step-by-step explanation:
3x^2=15x
Subtract 15x from both sides
3x^2-15x=0
Factor out 3x
3x(x-5)=0
Since 0 divided by any number is zero, we get that:
x-5=0
x=5
what is the answer to the question 1/2n+5=3?
Can you help me with this problem? 292.4 ÷ 17
Thanks I appreciate your help
Stay safe during quarantine! Have a nice day
Answer:
17.2
Step-by-step explanation:
divide the numbers together and it will equal 17.2
Help!! I need this now!! The instructions are on the top thank you!!
Answer:
LIVE TESTS NOT ALLOWED TO BE ANSWERED
Step-by-step explanation:
STOP THIS IS REPORTABLE
WILL GIVE YOU BRAINLIST
find the slop
-4 1
-1 - 4
2 -9
5 -14
8 -19
Answer:
Step-by-step explanation:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .Teachers use different words for the y-coordinates and the the x-coordinates . Some call the y-coordinates the rise and the x-coordinates the run . Others prefer to use Δ notation and call the y-coordinates Δ , and the x-coordinates the Δ .These words all mean the same thing, which is that the y values are on the top of the formula (numerator) and the x values are on the bottom of the formula (denominator)!The slope of a line going through the point (1, 2) and the point (4, 3) is 13. Remember: difference in the y values goes in the numerator of formula, and the difference in the x values goes in denominator of the formula.Can either point be (1,1) ? There is only one way to know! First, we will use point (1, 2) as 1,1, and as you can see : the slope is: 13 . Now let's use point (4, 3) as 1,1, and as you can see , the slope simplifies to the same value: 13point (4, 3) as (1,1) =2−12−1=3−24−1=13 point (1, 2) as (1,1) =2−12−1=2−31−4=−1−3=13 Answer: It does not matter which point you put first. You can start with (4, 3) or with (1, 2) and, either way, you end with the exact same number! 1/3
Example 2 of the Slope of A line The slope of a line through the points (3, 4) and (5, 1) is −32 because every time that the line goes down by 3(the change in y or the rise) the line moves to the right (the run) by 2.This is because any vertical line has a Δ or "run" of zero. Whenever zero is the denominator of the fraction in this case of the fraction representing the slope of a line, the fraction is undefined. The picture below shows a vertical line (x = 1). vertical line The slope of a horizontal line is zero This is because any horizontal line has a Δ or "rise" of zero. Therefore, regardless of what the run is (provided its' not also zero!), the fraction representing slope has a zero in its numerator. Therefore, the slope must evaluate to zero. Below is a picture of a horizontal line -- you can see that it does not have any 'rise' to it.
Consider the diagram.
Lines AC and RS can best be described as
intersecting.
parallel.
perpendicular.
skew.
Answer:
Scew option D
Step-by-step explanation:
I have the same test
When lines are not parallel, and they do not intersect, such lines are said to be skewed.
Line AC and RS are skew.
From the diagram, we have two planes.
Plane x Plane yLine AC is on plane x, while line RS is on plane y.
This means that both lines are non-coplanar
Planes x and y are not parallel; so lines AC and RS are not parallel.
Using the condition of skewness stated above, we can conclude that line AC and RS are skew.
See attachment for plane x and plane y
Read more about skewness at:
https://brainly.com/question/17822096
what is 5x × 12y - 8xy
Answer:
52xy is the answear. Hope it helps
Step-by-step explanation:
Answer:
it's going to be 52xy.
if any of you have the same, then that's fine.
25 POINTS!!
Consider a square and a regular hexagon (a six sided figure with sides of equal length). One side of the square is 8 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?
Answer:
The hexagon has sides of 8 feet and the square 's sides are 16 feet long..
Step-by-step explanation:
If the side of the hexagon is x feet then the side of the square = x+8 feet.
So as the perimeters are equal:
8x = 4(x + 8)
8x = 4x + 32
8x - 4x = 32
4x = 32
x = 8 = side of hexagon so the square side = 16 feet.
Answer:
6
Step-by-step explanation:
subscribe to DLO Aryan
james painted 3/4 of his bedroom wall in 2/3 of an hour. How much of the wall could he paint in ONE full hour? (WRITE YOUR ANSWER AS A SIMPLIFIED IMPROPER FRACTION) Use either strategy to solve.
Answer:3/3 i think
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, we need to find the common denominator between 3/4 and 2/3. The least common factor of these fractions is 12. Now we can turn 3/4 into 9/12, and 2/3 into 8/12, simply by multiplying. To figure out what one third is, we can divide by 2 to get 4/6 and 3/6... And now I'm lost (*￣∀￣) *embarrassed face lol*
Let the graph of g be a horizontal shrink by a factor of 1/6 and a reflection in the x-axis, followed by a translation 2 units down of the graph of f(x)=x^2. write a rule for g.
Answer:
Step-by-step explanation:
A function s is the HORIZONTAL SHRINK of a function h by a factor k
if s(x) = h(kx)
It is called a shrink, because for k > 1 that has the effect of compressing
the function h towards the y-axis.
I find the problem statement a little confusing because
using k = 1/6 would result in stretching, not shrinking.
Therefore my guess is that the author means k = 6.
A function r is a REFLECTION of a function h in the x-axis
if r(x) = -h(x).
The reason is that r looks like a mirror image of h,
where the mirror is the x-axis.
A function t is a TRANSLATION 2 units down of a function h
if t(x) = h(x) - 2.
The graph of t looks like h, except shifted down 2 units.
Applying the definitions to your function f:
g(x) = -f(6x) - 2 = -36x^2 - 2
Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of
possible combinations of dried fruit to peanuts for her terrific trail mix. The ratio she used was 3 to 5. The table below shows
the original recipe's ratio of dried fruit to peanuts.
Dried Fruit
(oz)
9
Peanuts
(oz)
45
27
80
Which of the following accurately fills in the missing information to identify equivalent ratios for Ms. Carey?
A 30 ounces of peanuts and 42 ounces of dried fruit
B. 48 ounces of peanuts and 15 ounces of dried fruit C . 3 ounces of peanuts and 54 ounces of dried fruit. D. 15 ounces of peanuts and 48 ounces of dried fruit
Answer:63:9
Step-by-step explanation:63:9
What is the slope of the line graphed below (3,5) (0,-1)
What is the distance from 10 to -5 on a number line?
Traffic lights at three different road crossing change after 48 seconds, 72 seconds, and 108 seconds respectively. At what time will they change together again if they change simultaneously at 7 A.M.?
Answer: 8:07:12
Find the Prime Factors.
48 = 2⁴ x 3
72 = 2³ x 3²
108 = 2² x 3³
Find the Least Common Multiple.
Two:
LCM = 2⁴ x 3³
LCM = 16 x 27 = 432
Convert 432 seconds to minutes.
432 seconds = 7 minutes, 12 seconds.
Hope this helps!
Answer:
7 minutes , 12s
Step-by-step explanation:
Thanks bro