in a science class students water a plant with the same amount of water each day for 28 consecutive days. if students use a total of 23.8 liters of water over the 28 days, how many liters of water did they use each day. how many milliliters did they use each day.
Answers
Keywords:
Water, plant, water, liters, daily, milliliters, divide
For this case we must find the amount of liters of water that students used daily, for 28 days, to water a plant, knowing that they used a total of 23.8 liters of water at the end of 28 days. For this, we must divide and the result convert it to milliliters. So:
Let "x" be the number of liters of water that students used per day:
[tex]x = \frac {23.8\ liters} {28\ days}\\x = 0.85\ liters\ per\ day.[/tex]
Thus, the students used 0.85 liters of water per day.
On the other hand, we know that: 1 liter equals 1000 milliliters. Then, by rule of three:
1 L -------------> 1000 mL
0.85L ---------->?
Where "?" represents the amount of daily water watered in milliliters
[tex]? = \frac {0.85 * 1000} {1}\\? = 850\ mL[/tex]
Thus, the students used 850 milliliters of water per day.
Answer:
850 milliliters of water per day.
They use 0.85 liters = 850 mililiters each day.
Further explanationComparison is an effort to compare two or more objects in terms of shape or size, or number
Proportional Comparisons are comparisons of two or more numbers where one number increases, the other numbers also increase
Can be formulated[tex]\frac {x1} {y1} = \frac {x2} {y2}[/tex]
so that if:
x = 2
then
[tex]y = \frac {y} {x} \times \: 2[/tex]
While the reversal value comparison is the comparison of two or more numbers where one number increases, the other number decreases in value
Can be formulated
[tex]\displaystyle \frac {x1} {y2} = \frac {x2} {y1}[/tex]
so that if:
x = 2
then
[tex]\displaystyle y = \frac {x} {y} \times \: 2[/tex]
Knownstudents use a total of 23.8 liters of water over the 28 days
AskedThe amount of water used in a day
AnswerFrom this we can make a comparison:
[tex]28~days=23.8~liters[/tex]
[tex]1~day=x~liter[/tex]
[tex]\displaystyle \frac{1~day}{28~day} =\frac{x~liters}{23.8}[/tex]
[tex]\displaystyle x~=~\frac{1~\times~23.8}{28}[/tex]
x = 0.85 liters
From the unit of volume, we convert liters to milliliters
1 liter = 10³ milliliters
0.85 liters we move the comma 3 units to the right becomes:
[tex]\displaystyle 0.85 = 0~\boxed{,}\rightarrow~8~\rightarrow~5~\rightarrow~0~\boxed{,}[/tex]
= 850 mililiters
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Keywords: water a plant, liters, mililiters,students
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Answer:
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itney sells mattresses at a furniture store. She makes a 9.75% commission on each mattress she sells. Last week, Britney sold four mattresses. The sale price of each mattress is shown in the table.
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Enter your answer in the box.
Answers
Answer:
Britney earn last week $809.25 .
Step-by-step explanation:
As given
itney sells mattresses at a furniture store.
She makes a 9.75% commission on each mattress she sells.
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[tex]= \frac{9.75}{100}[/tex]
= 0.0975
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Commission on second mattresses = 0.0975 × 3200
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Commission on third mattresses = 0.0975 × 1900
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Now find out the commission of fourth mattresses.
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Commission on fourth mattresses = 0.0975 × 800
=$78
Thus
Total Commission = Commission on first mattresses + Commission on second mattresses + Commission on third mattresses + Commission on fourth mattresses
Put value in the above
Total Commission = $234 +$312 + $185.25 + $78
=$809.25
Therefore the Britney earn last week $809.25 .
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The product of 2 consecutive odd integers is 1 less than 4 times their sum. A quadratic function models this situation. What is the domain of the situation?
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D) all odd integers greater than zero
Answers
"x" and "(x+2)
_________________
The product of these two consecutive odd integers is:
________________
→ x*(x + 2); or, write as: x(x + 2)
__________________
The sum of these two consecutive odd integers is:
________________________________
→ x + (x + 2) = (2x + 2)
_______________________________
The product of 2 conductive integers, "x(x + 2)" , is 1 less than
4 times their sum, "(2x + 2)".
______________________________
→ Write as: 4*(2x + 2) − 1 = x(x + 2)
________________________________
Note the distributive property of multiplication:
_______________________________
→ a*(b + c) = ab + ac ;
________________________________
We have:
___________
→ 4*(2x + 2) − 1 = x(x + 2)
_____________________________
→ 4*(2x + 2) = (4*2x) + (4*2) = 8x + 8
____________________________________
On the "right side of the equation; we have:
______________________________________
→ x(x + 2) = (x*x) + (x*2) = x² + 2x
_____________________________________
We can rewrite the equation:
__________________________
→ 4*(2x + 2) − 1 = x(x + 2) ;
___________________________
by substituting our obtained "expanded values" for:
"[4*(2x + 2)]" ; and for: "[x(x + 2)]" ;
______________________________________
→ 4*(2x + 2) − 1 = x(x + 2) =
____________________________
→ 8x + 8 − 1 = x² + 2x ;
__________________________________
→ Simplify the "+8 − 1" on the "left-hand side" of the equation to "7"; and subtract "2x" from EACH SIDE of the equation:
____________________________________
→ 8x + 7 − 2x = x² + 2x − 2x ; to get:
____________________________
→ 6x + 7 = x² ;
________________________________
→To solve for "x"; Subtract "6x" and subtract "7"; from EACH SIDE of the equation; to get an equation in "quadratic format" ; that is:
_____________________________________________
ax
let x and x+2 be the consecutive odd integers. Their product is x(x+2) Their sum is x + x+2 or 2x+2 x(x+2)=4(2x+2)-1 Domain is odd integers
Answer:
b; all odd integers
Step-by-step explanation:
since the problem is built around any odd integer than the domain would be the set of all odd integers--both positive and negative.
How many variable terms are in the expression 3x³y + 5xz − 4y + x − z + 9
Answers
1. 3x^3y
2. 5xz
3. -4y
4. x
5. -z
6. 9
Answer: 6
Step-by-step explanation:
In any algebraic expression a term could be a variable(a,b,c,...), or a constant (numerical value) or a product of variables and a constant.
For example : In expression [tex]5x^2-7xy+4c-4[/tex] , there are 4 terms : [tex]5x^2,\ -7xy,\ 4c\ ,\ -4[/tex]
Let's take one more example : [tex]3y+2x-7xy^2[/tex]
In this expression there are only 3 terms , that are [tex]3y,\ 2x,\ -7xy^2[/tex]
The given expression : [tex]3x^3y + 5xz -4y + x -z + 9[/tex]
There are total 6 variable terms , that are :
[tex]3x^3y ,\ 5xz,\ -4y ,\ x,\ -z ,\ 9[/tex]
Hence, the correct answer is : 6