Answer:
(x - 3) x + 2
Step-by-step explanation:
1/4 (2 x - 3)^2 - 1/4
A bottle contains liters of soda. Henry has 12 of these bottles.
How much soda does he have in all?
Write your answer in simplest form.
The question that should be given:-
A bottle contains 12 litres of soda. Henry has 12 of these bottles. How much soda does he have in all? Write your answer in simplest form.
Solution :-
• 1 bottle contains 12 litres of soda
• Total number of bottles = 12
To calculate how much soda does Henry have in total l, we need to multiply the number of bottles and the number of litres in each bottle. So,
[tex]total \: soda = (12 \times 12)litres[/tex]
[tex]→144 \: litres[/tex]
Therefore, the total soda that Henry has in all is 144 litres
--------------------- ★ -----------------------
{ Note:- Even if it was any other number, then just multiply the given number of litres of soda into the total number of given bottles.
This means that,
Total Soda = Given litres of soda x Total bottles given
Ex:- Total bottles given is 2 bottles
and given number of litres in one bottle is 8, so, multiply 8 x 2 = 16.
This means that total number of litres is 16 litres. }
Given above is an example. Please do misunderstand it with the answer.
✍️ By Benjemin360 ☺️
Question lacks one information no of litres if soda present in 1bottle.
let
1bottle contains x litres of soda.
Hence.
12 bottles will contain
[tex]\\ \sf\longmapsto 12x\ell [/tex]of soda.
y raise to power 1/2 =3
Answer:
y = root 9
Step-by-step explanation:
1/2 is equivalent to the root of something.
The root of y equals 3.
Therefore, y would be equal to root 9, as root 9 is equivalent to 3.
Hope this helps :)
y^1/2 = 3
√y = 3
Raise both sides to power 2
( √y )^2 = ( 3 )^2
y = 9
Solve the following system using elimination
2a + 4b = 6
- a - 2b =- 3
Answer:
5a-2b=3
2a+4b=6
I hope it's not rong my answer
Solve for x
-4 < or equal to 16 - 4x
Answer:
x < 5
Step-by-step explanation:
= -4 < 16-4x
= 4x < 16+4
= 4x < 20
= 4x/4 < 20/4
= x < 5
given that l is parallel to m find the measure of angle QTP
Answer:
m<QTP= 45.5º
Step-by-step explanation:
180-89=91
since it is parallel ÷2
91÷2=45.5
Answer:
<QTP = 43 degrees
Step-by-step explanation:
5x - 32 = 3x (corresponding angles)
5x - 3x = 32
2x = 32
x = 32/2
x = 16
5x - 32 = 5(16)-32 = 48
< QTU = 89 (corresponding angles)
180- 89 - 48 = <QTP
43 degrees
PLEASE HELP ME ON THIS QUESTIOn!!
Answer:
it's the third one
Step-by-step explanation:
-1/6a +3. 1/3a-5
you add 3and 5
which is 8
then you have negative and positive which is a negative
hope this helps
Please help!!!!!!!!!
Answer:
-4q+[tex]\frac{40}{3}[/tex]
Step-by-step explanation:
distribute [tex]\frac{-4}{3}[/tex] on the bracket. So, (3)([tex]\frac{-4}{3}[/tex])q-(10)([tex]\frac{-4}{3}[/tex])=-4q+[tex]\frac{40}{3}[/tex]
The ratio of two similar rectangles is 5:2, and the area of the larger on is 400 ft^2. What is the area of the smaller rectangle?
Answer:
400/5*2=160 ft^2
Step-by-step explanation:
Times the common multiple of 3 and 6, which is 6
The larger rectangle takes up 5 parts and the smaller one takes up 2 parts, so 400/5 is the area of one part, times 2
Express the following as rational numbers with denominator 3
Answer:
Step-by-step explanation:
[tex]a) \dfrac{-46}{69}=\dfrac{-2*23}{3*23}=\dfrac{-2}{3}\\\\b) \dfrac{94}{141}=\dfrac{47*2}{47*3}=\dfrac{2}{3}\\\\\\c) \dfrac{-72}{108}=\dfrac{-2*36}{3*36}=\dfrac{-2}{3}[/tex]
the number of ducks and pigs in a field = 38. the total number of legs among them is 92. each duck has 2 legs and each pig has 4 legs, how many ducks and how many pigs?
9514 1404 393
Answer:
30 ducks8 pigsStep-by-step explanation:
Let p represent the number of pigs. Then the number of ducks is 38-p and the number of legs is ...
4p +2(38 -p) = 92
2p = 16 . . . . . . . . . . . . collect terms, subtract 76
p = 8 . . . . . . 8 pigs in the field
38-p = 30 . . . number of ducks in the field
There are 30 ducks and 8 pigs in the field.
Please help me to solve this and also explain the process and answer.
Thank You
(Sorry for bad handwriting)
Answer:
it is 4/15
Step-by-step explanation:
first divide 1/2 and 3/4, then multiply the answer by five
What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?
-7 -9 -11 is your answer hope it's helpful for you thankyou I
Answer: Add 5 each time
…2,7,12
If x - 15 = 7 - 5(x - 4). Then what does x equal?
Answer:
x=7
Step-by-step explanation:
x-15=7-5(x-4)
x-15=7-5x+20
+5x +5x
6x-15=7+20
+15 +15
6x=7+20+15
6x=42
x=7
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
Eliminate parentheses and collect terms. Then solve the resulting 3-step linear equation.
x -15 = 7 -5x +20
x -15 = -5x +27
6x -15 = 27 . . . . . . step 1, add 5x to put the variable term on one side
6x = 42 . . . . . . . . . step 2, add 15 to put the constant term on the other side
x = 7 . . . . . . . . . . . . step 3, divide by the coefficient of the variable
_____
Additional comment
The variable terms have coefficients 1 and -5. We choose to add the opposite of the term with the least coefficient (farthest left on the number line). That way, the variable term ends up with a positive coefficient.
Latoya took a piece of wood 13 - inches long and sawed off a piece measuring a inch. what is the length remaining.
Answer: 12 Inches
Step-by-step explanation: If the wood is originally 13 inches and the piece sawwed off was one inch, then 13-1=12 Inches.
Who is farther? a a Briel and Daniela are siblings. One day, Briel decided to go on a mountain climbing but Daniela went to the sea for diving. Briel had already reached the mountain height of 25 ft when he rested while Daniela dove 20 ft below the sea and came out of the water.
Answer:
Daniela is 20 ft away from land while Briel is 25 ft away from land. They are 45 ft away from each other.
Step-by-step explanation:
Answer:
It’s briel
Step-by-step explanation:
What is the slope between (-3, 8) and (4,8).
Help please now :)
Answer:
0
Step-by-step explanation:
There are 2 ways to find slope. Slope is rise over run, meaning that it is the change in y over change in x. The first way is to use the formula. The formula is as follows [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Plug the coordinates into the equation and then simplify. This ends up looking like [tex]\frac{8-8}{4+3}[/tex] or [tex]\frac{0}{7}[/tex]. So the slope is just 0 because anything divided by 0 is 0. You could also get the answer of 0 by realizing that this is horizontal. All horizontal lines have a slope of 0.
Huilan is 5 years older than Thomas. The sum of their ages is 57. What is Thomas's age?
Answer:
21
Step-by-step explanation:
You can write this question out with two separate formulas, the first one being H - 5 = T, and the second being H + T = 57. I am using the variables of H and T to show the ages of Hulian and Thomas respectively. From here, we can use the substitution formula since we already know what T is equal to (H - 5). Substituting the equation in, we get a new equation of H + (H + 5) = 57. Subtracting 5 from both sides gives us the equation of H + H = 52, or 2H = 52. Dividing by 2 yields the answer of 26 for Hulian's age. Since we know that Hulian is 5 years older than Thomas, we can subtract 5 from 26, giving us Thomas' age, which is 21.
Answer:
23.5
Step-by-step explanation:
=57/2
=28.5-5
=23.5
thomas is 23 years and 6 months old
7)
A right triangle can be formed using three sides having lengths 18 inches, 24 inches, and
=))
A)
12 inches
B)
15 inches.
o
16 inches
D)
30 inches
8)
mall
Answer:
30 in
Step-by-step explanation:
the bottom needs to be longer
help me please im stuck on this
Answer:
I think the negative numbers are for below sea level
hello there
looking for help here thanks. giving brainliest if able to.
If 2 out of 3 people want to go trick or treating, in a group of 30 friends how many want to go trick or treating?
2/3 x/30 =
Answer:
20
Step-by-step explanation:
2/3 want to go
If there are 30 people, we can find our answer pretty easily as 30 is 10 times more than 3.
2/3 = 20/30
So 20 people would like to go :O
Hope this helps, have a nice day :))
Answer:
20 people want to go trick or treating
Step-by-step explanation:
2/3 of 30 is
2/3 *30= 20
20 out of 30 people want to go trick or treating.
Use two unit multipliers to convert 4000 square inches to square feet.
Answer:
27.77778 [tex](ft^{2} )[/tex]
Step-by-step explanation:
Formula:
Divide the area value by 144
Square inches (in^2) — 4000
4000 ÷ 144 = 27.7777 square feet
(Hope this helps can I pls have brainlist (crown)☺️)
You plan to drive to your next vacation destination that is 258 miles away. your car currently gets 24 miles per gallon.
a.How many gallon of gas will you need to purchase for your car to get you to your vacation destination?
B.if gas is currently averaging $3.98 per gallon how much will it cost you to purchase the gas to fuel your car for your drive
What value of x is in the solution set of -2(3x + 2) > -8x + 6?
0 -6
-5
ܬ ܗ ܗ
0 5
0_6
Answer: [tex]\large \boldsymbol {\rm x>5 \ or \ x\in (5\ ; \ \infty ) }[/tex]
Step-by-step explanation:
[tex]\large \boldsymbol {} \displaystyle -2(3x+2)>-8x+6 \\\\ -6x-4>-8x+6 \\\\ 8x-6x=6+4 \\\\ 2x>10 \\\\ x>5 \ or \ x\in (5\ ; \ \infty )[/tex]
For each number in the left column, determine which sets of numbers it belongs to,
and then put a capital Y (for Yes) in each of those columns. If the number does not
belong in the set of numbers, put a capital N (for No) in that column.
integers
natural numbers whole numbers
-7 Y
N
N
4
3.14
-2.2
11
o
Question ID: 57409
Find the amount each contestant would carry if the total amount carried (5 cups) was redistributed equally
Answer:
Let N = the number of contestants (N > 0),
then each contestant would carry 5 / N cups.
Step-by-step explanation:
Let N = the number of contestants (N > 0),
then each contestant would carry 5 / N cups.
True or False: The lines 4y-x=9 and 4x + y=-2 are perpendicular and intersect at the point (-1,2).
Answer:
True
Step-by-step explanation:
the two equations graphed intersect at the point (-1,2) and are perpendicular according to the graph.
Solve the inequality
X/2-5> 4
Answer:
x/2-5>4
x/2>4+5
x>9/2
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
A jacket cost $14 more than
twice the cost of a skirt. The
jacket cost $40. Find the cost
of the skirt.
Worth 90 points please help thank you
Answer: 2x+1+2x+3 X+3x+4 2(2x+2)
Step-by-step explanation: X tiles are used on other x tiles, say you had, 2x+5y well you can’t add x to y
2(2x+2) is special cause this allows a different kind of tile, to multiply a different tile.
Answer:
In short your answer is Options 2, 3 and 4.
Step-by-step explanation:
Option 1:
If you distribute 4 among everything in the parenthesis, you'll get 4 × x = 4x and
4 × 4 = 16. Essentially your answer will be
4x + 16, so this is not equivalent.
Option 2:
If you combine like terms 2x and 2x, you'll get 4x, then add 3 and 1 to get 4. Your answer will be 4x + 4. So this is equivalent.
Option 3:
If you distribute 2 among everything in the parenthesis, you'll get 2 × 2x = 4x and 2 × 2 = 4. Essentially your answer will be 4x + 4, so this is equivalent.
Option 4:
If you combine like terms 3x and x, you'll get 4x. So essentially your answer is
4x + 4, so this is equivalent.
Hope this helped :)
An arts academy requires there to be 6 teachers for every 144 students and 5 tutors for every 40 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 72 students
Answer:
3 teachers and 9 tutors
Step-by-step explanation:
Answer:
There are 24 students per teacher and 8 students per tutor. If the academy has 72 students, then 9 tutors would be needed.
Step-by-step explanation:
We will start with the question, how many students does the academy have per teacher. To find this, we need to set up the equation. 144 will be the number of students, 6 will be the number of teachers, and x will be the number of students per teacher.
144/6=x
24=x
So, there are 24 students for every teacher.
We could also do this as a ratio. We would do the same thing. We would divide by six to get our answer.
144:6
Make the six one.
24:1
This shows that there are 24 students for every teacher.
Now to find out how many per tutor.
We will do the same thing as before, minus the ratio, though you could still use the ratio. Remember, 40 is the number of students, 5 is the number of tutors, and x is the number of students per tutor.
40\5=x
8=x
So there are 8 students per tutor.
Now we will use this knowledge to solve for how many tutors are needed if the academy has 72 students.
We will set up our equation. 72 will be the students, we will use eight since that is how many students are needed per tutor, and x will be the number of tutors needed.
72/8=x
9=x
So this means that if the academy has 72 students, then it will need 9 tutors.