Mrs. Stokes solved the equation shown below. Select the correct justification for each step shown.
-3(8x-2)=9-21x Original equation
8x-2=-3+7x
8x+1=7x
1=-x
-1=x
Answer:
Below in bold
Step-by-step explanation:
-3(8x - 2) = 9 - 21x
~Divide -3 to everything
8x - 2 = -3 + 7x
~Add 3 to both sides
8x + 1 = 7x
~Subtract 8x to both sides
1 = -x
~Divide -1 to both sides
-1 = x
Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.
Best of Luck!
Below in bold
Step-by-step explanation:
-3(8x - 2) = 9 - 21x
~Divide -3 to everything
8x - 2 = -3 + 7x
~Add 3 to both sides
8x + 1 = 7x
~Subtract 8x to both sides
1 = -x
~Divide -1 to both sides
-1 = x
Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.
Best of Luck!
Please answer correctly, work is optional.
Terry's mother combines 1.5 liter bottles of juice with two 0.25 liter cans of sparkling water to make punch. what is the total amount of punch that Terry's mother make?
Answer:
1.75 liters
Step-by-step explanation:
You would add 1.5 and 0.25 together and that would be the total.
HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!
State whether the percent of change is a percent of increase
or a percent of decrease. Then find the percent of change. original: 60, new: 75
Answer:
it's a percent of increase
The table lists the number of students from Windy Brook Middle School at the state fair. What is the ratio of sixth graders to the total number of students at the fair?
5th grade=6
6th grade=4
7th grade=5
8th grade=3
Answer:
2 : 9
Step-by-step explanation:
First find the total number
6+4+5+3 = 18
6th graders : total
4 : 18
Divide each side by 2
4/2: 18/2
2 : 9
An automobile's radiator has a capacity of fifteen quarts, and it currently contains twelve quarts of a thirty percent antifreeze solution. How many quarts of antifreeze are currently in the radiator?
Answer:
3.6 quarts.
Step-by-step explanation:
just take 30% of 12 which is 3.6
(I just did the assignment and got 100, so dw.)
Miss Sally waited on a large party at the Chesterfield Restaurant. The party bill totaled $110.00. As the party was pleased with the service they received, the tipped Miss Sally 20%. What amount did Miss Sally receive as her tip? Explain your answer.
Juan read 300 pages in 5 days. Which reading rate is equivalent?
A.) 150 pages in 3 days
B. )120 pages in 2 days
C.) 105 pages in 1 day
D.) 100 pages in 3 days
Answer:
A: 150 pages in 3 days
Step-by-step explanation:
\sqrt{\frac{V}{\pi h}}
Answer;
I if you dont have a question the dont
put random stuff like this but n Stot trying to be rude or mean im just saying what is needed to be said???
Stuck on these couple of questions could i get help??
Answer:
1=51 3=51
Step-by-step explanation:
So we know since the line are parlle that the angles for each would be idetical
so 6,8,2, and 4 would all have same angle of 129
to find the other angles we would subtract 180 (the degree of a stright line) from 129 getting 51
so now we know that angles 1,3,5 and 7 are 51 degrees
find the 2nd and 3rd term of the sequence -7, _, _, -22, -27
Answer:
-12,-17
Step-by-step explanation:
I just added five to each of the numbers
Graph the Linear Function h(x) = -2x - 4
Two stores sell CDs in packages, as shown in the table below.
CD Prices at Store A
Number of CDs in Package
1
12
20
45
Cost
$0.70
$8.40
?
$31.50
CD Prices at Store B
Number of CDs in Package
1
20
30
65
Cost
$0.60
?
$18.00
$39.00
If the rate at each store is constant, which statement correctly compares the cost of a package containing 20 CDs?
The cost at Store A is $2.00 greater than at Store B.
The cost at Store B is $2.00 greater than at Store A.
The cost at Store A is $1.00 greater than at Store B.
The cost at Store B is $1.00 greater than at Store A.
Answer:
The answer is B
Step-by-step explanation:
the cost at store b is 2.00 greater than store a
Answer: b is the answer
Step-by-step explanation:
John's phone company offers 2 cell phone plans, A and B. Both plans offer 450 free minutes per month, but plan A charges $40 per month and $0.35 for each additional minute, while plan B charges $45 per month and $0.30 for each additional minute. Which inequality shows the number of minutes, x, that John may use in a month in order to make plan B the better plan for that month?
A.
40 + 0.35(x − 450) 45 + 0.30(x − 450)
D.
40 + 0.35x > 45 + 0.30x
Answer: 45 + 0.30(x-450) > 40 + 0.35(x-450)
Step-by-step explanation:
Given: Free minutes = 450
For plan A,
Fix charge = $40
Charge per minute after free minutes = $0.35
For plan B,
Fix charge = $45
Charge per minute after free minutes = $0.30
Let x be the additional minutes.
Charges according to plan A = 40 + 0.35(x-450)
Charges according to plan B = 45 + 0.30(x-450)
If plan B is better than plan A.
45 + 0.30(x-450) > 40 + 0.35(x-450)
Required inequality : 45 + 0.30(x-450) > 40 + 0.35(x-450)
Really hard geometry problems. Please help!
Answer: For #3 the answer is 48 degrees, #4 is 70 degrees
Step-by-step explanation:
3. CGA and BGD are verticle angles which means they are congruent, and (2x-10)+(x+4)+(x+10) is 180. Which gives you X=44, then you substitute x into x+4 which gives you 48.
4. CEB and BED are supplementary which means they make up 180. BED and CEA are verticle angles which means they are congruent. We know CEB is 110 which means BED is 70 because 180-110=70. BED and CEA are verticle angles which means CEA is also 70 degrees
Answer:
i think #3 is 93 and #4 is 70
Step-by-step explanation:
a full circle is equal to 360
for #3, i used the equation (2x-10) + (x+4) + (x+10) = 360
combine all like terms and get 4x + 4 = 360
subtract 4 from both sides
4x + 4 = 360
4x = 356
divide 4 from both sides
x = 89. from here put 89 where x is . angle BGD and angle CGA are the same so 89 + 4 = 93
for #4, use the equation 45 + 3x - 19 = 110
combine like terms and get 26 + 3x = 110
subtract 26 from both sides and then divide by 3
3x = 84
x = 28
place 28 where x is and find the matching angle which is 70.
HOPE THIS HELPS!!
Austin is building a shed based on blueprints he found online. The scale on the blueprints is 1 inch to 24 inches. If the shed’s window in the blueprints is 1.5 inches wide by 0.75 inches tall, what size window should he buy?
18 inches wide by 9 inches tall
24 inches wide by 12 inches tall
36 inches wide by 18 inches tall
60 inches wide by 36 inches tall
quick math question, please help^^
Answer:
x= 81
Step-by-step explanation:
see attached the solution
Find the inverse of the given function.
(f) = -5x-9
Answer:
x=-4
Step-by-step explanation:
Answer: -x+9/5
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP WILL MARK BRAINLISTTT
Answer:
Y=8
ST=31
RT=81
Step-by-step explanation:
;)
When the function y=x is changed to y=|x|, how is the graph affected?
A. All points for x 0 are reflected over the line y=x.
B. All points for x 0 are reflected over the line y=x.
D. All points for x > 0 are reflected over the x-axis.
Answer:
First, the function:
y = x
Is:
Positive if x > 0
Negative if x < 0
Now, on another hand, the function y = IxI is:
Positive if x < 0
Positive if x > 0.
Then the only part that changes is the negative side of the domain, and the thing that changes is the sign (the change of sign is equivalent to a reflection over the x-axis or the line y = 0".
Then the correct option is:
"All points for x < 0 are reflected over the x-axis"
I suppose that this is option C, the missing one.
Suppose that the grade 7 student expected to sell between 100 and 150 hotdogs. How many packages of 12 wieners and 8 buns should the students buy if they don't want any leftovers ?Justify your answer .How many packages of each should they buy if they expect to sell more than 300 hotdogs.
Assuming that 1 wiener and 1 bun required to sell 1 hotdog.
Given that there are 12 wieners and 8 buns in 1 packet of each.
Let m be the minimum numbers of hotdogs for no leftover wieners or buns.
So, m must be a number which is divisible by both 12 as well as 8.
The smallest number which is the common multiple of both 12 as well as 8 is the highest common factor (H.C.F.) of 12 and 8 which is 24.
So, m=24
At this pint, note that 24 is the minimum number of hotdogs that students can sell with no leftover wieners or buns. For this, they need 2 packets of wieners and 3 packets of buns.
So, 1 m hotdogs required 2 packets of wieners and 3 packets of buns
But, here the number of hotdogs is between 100 and 150.
The next possible number of hotdog wit no leftover wieners or buns is 48 which is 2m, the next will be 3m, and so on.
In fact, any multiple of m will be divisible by 12 as well as 8, so there will not be any leftover wieners or buns.
So, 24n hotdogs require 2n packets of wieners and 3n packets of buns,
where n is a counting number.
Now, find the multiple of 24 in between 100 and 150,
The first multiple is 24x5=120
So, 120 hotdogs require 2x5=10 packets of wieners and 3x5=15 packets of buns
The second multiple is 24x6=144
So, 144 hotdogs require 2x6=12 packets of wieners and 3x6=18 packets of buns
If the students want to sell more than 300 hotdogs:
The minimum number which is multiple of 24 is 24x13=312, the next number is 24x14=336, and so on
For this n=13, 14, 15, ...
So, they need to buy 2n packets of wieners and 3n packets of buns to sell 24n packets of hotdogs for no leftover.
For the minimum number of 312 hot dogs, they need to buy 2x13=26 packets of wieners and 3x12=36 packets of buns.
Consider the following Expression.
3(x+2)=-5-2(x-3)
What is the value of x?
this is
the equation on the math
Over the course of a month, Katniss caught three times as many squirrels as deer. She also caught five less rabbits than squirrels. The total number of animals she caught is ten more than four times the number of deer caught. How many rabbits did Katniss catch? Help steps
Answer:
10 rabbits
Step-by-step explanation:
Let us represent
Number of rabbits = x
Number of squirrels = y
Number of deer = z
Katniss caught three times as many squirrels as deer.
y = 3z
She also caught five less rabbits than squirrels.
y = x - 5
The total number of animals she caught is ten more than four times the number of deer caught.
x + y + z = 4 × z + 10
x + y + z = 4z + 10
How many rabbits did Katniss catch?
Number of rabbits = x
We make x subject of the formula
x + y + z = 4z + 10
x = 4z + 10 - y - z
y = 3z
x = 4z + 10 - 3z - z
x = 4z - z - 3z + 10
x = 4z - 4z + 10
x = 0 + 10
x = 10
Therefore, the number of rabbits Katniss caught is 10 rabbits
6 ten thousands 2 thousands 7 hundreds 8 tens 9 ones
Answer:
62789
Step-by-step explanation:
What is 3/2
5= Pls help me i have no clue and i have a math test soon pls help me
Answer:
15/2
Step-by-step explanation:
You have 3/2 5so you do 3 x 5 which is 15 then you have the answer. You keep the bottom number the same always
Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)
First find the equation of y.
[tex]y=mx+n=\frac{\Delta y}{\Delta x}x+n[/tex]
Find the slope m.
[tex]m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1[/tex].
Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.
[tex]9=1(-3)+n\implies n=12[/tex].
The equation of a line y is:
[tex]y=x+12[/tex].
The perpendicular line [tex]y_{\perp}[/tex] is same like the normal line except its slope m becomes:
[tex]k=-\frac{1}{m}=-1[/tex].
The equation of a perpendicular bisector is thus:
[tex]y_{\perp}=-x+12[/tex].
Hope this helps.
Answer:
[tex]y = \frac{1}{2} x + 3[/tex]
Step-by-step explanation:
Using the given points, first find the slope:
m = (₂ - y₁) / (x₂ - x₁)
= (5 - 9) / (-1 - (-3))
= -4 / 2
= -2
Find y-intercept by using anyone of the give points and slope from above:
y = mx + b
5 = -2(-1) + b
5 = 2 + b
b = 3
With the m and b, you can make equation of line:
y = mx + b
y = -2x + 3
To find the perpendicular slope, make it opposite and inverse it.
m = -2 becomes 1/2
Regular equation of line:
y = -2x + 3
Perpendicular equation of line:
[tex]y = \frac{1}{2} x + 3[/tex]
30 POINTS!!
HELP ME PLZZ THIS IS DUE TOMRROW !!!
Answer:
Commutative property
Step-by-step explanation:
Luke's retirement party will cost $30 if he invites 6 guests. What is the maximum number of
guests there can be if Luke can afford to spend a total of $35 on his retirement party? Solve
using unit rates.
guests
Submit
Which mathematical property is demonstrated?
5x7x4=5x4x7
Answer:
Communitive Property of Multiplication
Explanation:
The communitive property means that you can switch the numbers in any order and you will get the same answer.
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The temperature dropped 5°C every hour for 6 hours. What was the total number of degrees the
temperature changed in the 6 hours?
The total change in the temperature was