Final Answer: [tex]x = 12[/tex]
Steps/Reasons/Explanation:
Question: The equation, [tex]6x + 12 = 8x - 12[/tex] has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form [tex]x = a[/tex].
Step 1: Subtract [tex]6x[/tex] from both sides.
[tex]12 = 8x - 12 - 6x[/tex]
Step 2: Simplify [tex]8x - 12 - 6x[/tex] to [tex]2x - 12[/tex]
[tex]12 = 2x - 12[/tex]
Step 3: Add [tex]12[/tex] to both sides.
[tex]12 + 12 = 2x[/tex]
Step 4: Simplify [tex]12 + 12[/tex] to 24.
[tex]24 = 2x[/tex]
Step 5: Divide both sides by [tex]2[/tex].
[tex]\frac{24}{2} = x[/tex]
Step 6: Simplify [tex]\frac{24}{2}[/tex] to [tex]12[/tex].
[tex]12 = x[/tex]
Step 7: Switch sides.
[tex]x = 12[/tex]
~I hope I helped you :)~
ACe
medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine.
What is the weight of a patient who requires 200 milligrams of medicine?
Answer:
weight of the patient = 175 pounds
Step-by-step explanation:
Patient body weight : medicine
119 : 136
What is the weight of a patient who requires 200 milligrams of medicine?
Let
Patient body weight = x
Patient body weight : medicine
x : 200
Equate both proportions
119 : 136 = x : 200
119 / 136 = x / 200
Cross product
119 * 200 = 136 * x
23,800 = 136x
x = 23,800 / 136
= 175
x = 175 pounds
You and two friends buy snacks for a field trip. Using the
information given in the table, determine the price per pound for mixed nuts,
granola, and dried fruit.
Answer:
13.15
Step-by-step explanation:
How do linear and exponential functions compare over time?
Answer:
Exponential Functions
In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier—it will never be the same, but there will be a pattern.
Need answer ASAP! Plsss!!!
Answer:
2/9
Step-by-step explanation:
You multiply the probability of the green ball which is 8/12 by the probability of the purple ball which is 4/12 and you get 0.222 which is also 2/9.
The teacher baked a batch of muffins there's are 16 muffin in a batch she ate 1/4 of the batch she baked two more batches how many muffins does she have now
Answer:
Step-by-step explanation:
she ate 1/4 of the batch = 16/4 = 4 muffins were left
she baked two more batches = 16* 2 = 32
4 + 32 = 36 muffins
or
no. of muffins in a batch: 16
no of muffins he ate = 1/4 of 16
= 4
no. of muffins left: 16 - 4= 12
his mother then baked 2 more batches= 16+16
=32
no. of muffins left = 32+12 = 44
dont forget to mark this as the branliest answer if it helped you!
#HAVE FUN!! with muffins!!!
#GautamPro
Answer:
44
Step-by-step explanation:
16-4 equals 12 each batch equals 16. 16 times 2 equals 32 plus 12 equals 44
Derin is buying a new car at the price of $14,799.99. If he must pay 5% in sales tax, how much will his new car really cost him
5.
16 yd)
14 yd
6 yd
are you looking for the perimeter or area or what
A dog has a litter of 5 puppies. You plan to adopt 2 of the puppies. In how many ways can you choose 2 of the puppies from the litter?
Step-by-step explanation:
Number of choices = 5C2 = 5 * 4 / (1 * 2) = 10.
Answer? Need it quickly
Which fraction is equivalent to 0.4?
StartFraction 4 over 100 EndFraction
One-fourth
Four-tenths
StartFraction 4 over 1 EndFraction
Answer:
Four-tenths
Step-by-step explanation:
Four-tenths
Hope it helps you in your learning process.
Evaluate the expression.
4.2°
Answer:
4.2°
Step-by-step explanation:
The result can be shown in multiple forms.
Exact Form: 4.2°
Decimal Form: 4.2
I hope this helps!
You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?
A: 40
B: 3,360
C: 4,096
D: 32,768
Answer:
32768 ways
Step-by-step explanation:
Given
Marbles = 8 marbles
Selection = 5 (with replacement)
Required
Determine the number of ways
Because it is a selection with replacement; each selection is as follows:
[tex]First = 8\ marbles[/tex]
[tex]Second = 8\ marbles[/tex]
[tex]Third= 8\ marbles[/tex]
[tex]Fourth = 8\ marbles[/tex]
[tex]Fifth = 8\ marbles[/tex]
Total number of ways is then calculated as:
[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]
[tex]Total = 32768[/tex]
please help!!! if anyone knows
Answer:
The answer is 24in a am very sure
Step-by-step explanation:
Answer: The missing side is 24 inches
Step-by-step explanation:
Since it is a right angle that means that we can use the Pythagorean Theorem formula to solve for the B.
The formula says that a^2 + b^2 = c^2 Since we know a is 18 and c is 30 we will input the value into the formula to solve for b.
18^2 + b^2 = 30^2
324 + b^2 = 900
-324 -324
b^2 = 576
b = [tex]\sqrt{576}[/tex]
b = 24
Solve for w.
−(1/4w+8)+8=3
w=134
w = 52
w=−34
w=−12
Solve for w by simplifying both sides of the equation, then isolating the variable.
D. w = −12
help!! offering lots of points and brainliest!
Answer:
It would be C
Step-by-step explanation:
So, shows in the graph, you can see that the change in rise is 100, because to get to 150 from 50, you add 100
And the run is 1, because to go from 0 to 1, you add 1
Meaning the slope is 100/1
Hope this helped!
Solve y−4=3x+5y for y.
Answer:
-8y = 3x
Step-by-step explanation:
Jeremiah's retirement party will cost $16 if he invites 4 guests. What is the maximum number of guests there can be if Jeremiah can afford to spend a total of $20 on his retirement party? Solve using unit rates.
Answer:
5 guests
Step-by-step explanation:
Jeremiah party will chat $16 if he invites 4 guest
The first step is to calculate how much it will cost to feed one guest
$4 = 16 guests
1 guest= 16/4
1 guest = $4
Therefore if Jeremiah can afford to spend $20 then the maximum number of people that will be present can be calculated as
$4 = 1 guest
$20= 20/4
= 5 guests
Hence the maximum number of guest is 5 guests
(10-3)(-2)
giving brainlist out
Answer:
i think the answers 5
Step-by-step explanation:
Answer:
-14
Step-by-step explanation:
(10-3)(-2)
(7)(-2)
-14
Find the equation of the line.
Use exact numbers.
y=___x+____
can somebody teach me how to do this 1 math question, its about solve for the area! WILL Give Brainiest!
Answer:
area is 100m bc u do 10 times 10
Step-by-step explanation:
Answer:
139.27 meters squared
Step-by-step explanation:
So what you're doing is calculating the square's area and half of the circle's area.
The square's area is 100m^2 since 10*10=100
For the circle part, you use πr^2. You know the diameter of the circle, and radius is half of the diameter, so 10/2=5.
π*5^2 = 78.54 m^2
Since you have half of a circle you divide this by 2.
39.27
Finally you add your two areas together
100+39.27=139.27 meters ^2
Find the value of x. Then find the measure of each labeled angle.
X
(x-44)
x =
(x - 44)° = 11
Answer:
x=55
Step-by-step explanation:
Lorraine and Bea are learning to type on a computer keyboard, Lorraine's
typing speed is represented by the equation y = 9x where y is the number of
words she types and is the number of minutes, Bea's typing speed is given by the graph
Answer:
A
Step-by-step explanation:
I took one for the team
Answer:
yes for the exam its a
Step-by-step explanation:
Pleaseeeee answer !!!!!!!!!! What is the triangle ?! Will
Mark Brianliest !!!!!!!!!!!!!!!
Answer:
Isosceles Obtuse
Step-by-step explanation:
one angle is greater than 90 degrees makes it obtuse
two sides are same so isoscleles
pls give brainliest
Micheal walks 3.5 km every day . How far does he walk in 9 days . Write in meters
31500 meters.
Step-by-step explanation:
3.5 km times 9 = 31.5 km
25.5 km = 31500 meters
Let me know if you have any issues or need help!
Answer:
31500 meters
Step-by-step explanation:
If he walks 3.5 km a day and he walks 9 days, then multiply those together. That will give you 31.5 km. Converted to meters would give you 31500.
Jeanna is making holiday cupcakes for her family. She typically makes 2 dozen red velvet and 3 dozen gingerbread spice cake. Since everyone is staying home for the holiday, she needs to increase this standard amount by 3 to have enough to send to family and friends far and wide. How many dozens of cupcakes will Jeanna need to make?
Answer:
15 dozens of cakes
Step-by-step explanation:
It is given that Jeanna is making cupcakes for her family and she normally makes 2 dozens of red velvet cakes and 3 dozens of gingerbread spice cakes. But as everybody is staying at home, Jeanna wants to increase the standard amount by 3 for enough cakes.
So,
2 dozens of velvet cakes, i.e.
2 x 12 = 24 red velvet cakes
Increasing this amount by 3 times will give us 24 x 3 = 72 red velvet cakes.
Similarly,
3 dozens of gingerbread spice cakes, i.e.
3 x 12 = 36 gingerbread spice cakes
Increasing this amount by 3 times will give us 36 x 3 = 108 gingerbread spice cakes.
Therefore the total number of cakes is = 72 + 108
= 180 cakes.
We know 1 dozen = 12
Therefore dividing 180 cakes by 12, we get
[tex]$=\frac{180}{12}$[/tex]
= 15 dozen cakes.
Therefore, now Jeanna will have to make 15 dozens of cupcakes for all.
I need help ASAP :) thank you!
Answer:
x=2, y=0
Step-by-step explanation:
What value(s) of x in the relation below would
create a set of ordered pairs that is not a function?
Justify your answer.
{(0, 5) (1, 5) (2, 6) (x, 7)}
3 Answers: x = 0, x = 1, or x = 2
==================================================
Explanation:
The relation
{(0, 5) (1, 5) (2, 6) (x, 7)}
has points with x coordinates of: 0, 1, 2, and x.
If we repeated any of the x values listed so far, then we will not have a function.
So if we had the points (0,5) and (0,7), then the input x = 0 leads to multiple outputs. A function is only possible when any input x leads to exactly one output y.
This means that if x = 0, 1, or 2, then we won't have a function.
Side note: The y values can repeat, but if they do, then we won't have a one-to-one function. In this case, y = 5 repeats, so this function is not one-to-one (assuming x is not 0, not 1, and not 2).
The equation for the cost in dollars of producing computer chip is y = .000015x^2 - .03x +35. Where X is the number of chips produced. Find the number of chips that minimizes the cost. What is the cost for that number of chips?
Answer:
The equation for the cost in dollars of producing computer chips
The equation for the cost in dollars of producing computer chips is C = 0.000015x^2 - 0.03x + 35, where x is the number of chips produce. Find the number of chips that minimizes the cost.
Step-by-step explanation:
please help me out! I need help asap
Answer:
That's a lot also can i get brainliest please
Step-by-step explanation:
1: 16.50
2: 45.00
3: 30
4: half or 1.5
5: 60
6: 20
7: 315
Increase £2123 by 8%
Give your answer rounded to 2 DP.
Answer:
2292.84
Step-by-step explanation: