The first thing we must do for this case is to define variables:
x: the total mass of the chemical in the container
y: a sample of a chemical from a container
We have the following equation:
y = (3/10) x - 5 3/4
Then, for y = 39.1 we have:
39.1 = (3/10) x - 5 3/4
Clearing x:
(3/10) x = 39.1 + 5 3/4
(3/10) x = 44.85
x = (10/3) * (44.85)
x = 149.5 grams
Answer:
the total mass in grams of the chemical in the container before the scientist removed the sample of 39.1 grams was:
x = 149.5 grams.
prove the difference of the squares of two successive intergers is equal to the sum of the intergers
Answer:
[tex]\displaystyle \begin{aligned} \displaystyle (n+1)^2 - n^2 &= 2n +1 \\ &= n (n+1)\end{aligned}[/tex]
Where ? = 2.
Step-by-step explanation:
We want to prove that the difference of the squares of two successive integers is equal to the sum of the integers.
In other words, we want to show that for any given integer n:
[tex]\displaystyle (n+1)^2 - n^2 = n + (n+1)[/tex]
From the original equation, expand:
[tex]\displaystyle = (n^2 + 2n + 1) - n^2[/tex]
Combine like terms:
[tex]= 2n +1[/tex]
And rewrite. Hence:
[tex]\displaystyle = n + (n + 1)[/tex]
Therefore:
[tex]\displaystyle \begin{aligned} \displaystyle (n+1)^2 - n^2 &= 2n +1 \\ &= n (n+1)\end{aligned}[/tex]
In conclusion, ? = 2.
the costprice of the article is Rs800.If the article is sold for Rs1200,find profit
Answer:
Answer
Profit = SP - CP
Profit = 1200 - 800
Profit = 400
Henceforth,
Profit made on the article is ₹400
Compute the expected theoretical probability of getting a 6 when you roll a dice once. Explain your answer
Moly and Lynn both set aside money weekly for their savings. Molly already has $650 set aside and adds $35 each week. Lynn already has $825
set aside but acids only 515 each week. Which inequality could they use to determine how many weeks, it will take for Mollys savings to
exceed Lyon's savings?
Answer:
650+35w>825+15w
Step-by-step explanation:
1)What's the probability of spinning a green on
Spinner A (2 green, 2 yellow, 2 blue, and 2 red),
and the yellow on Spinner B (4 red, 4 blue, 4
yellow, 4 green):
Spinner A Spinner B
Answer:
spinner A(green)= 2/8 =1/4
spinner B(yellow)= 4/16 =1/4
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Answer:
Hope This Helps You
Have A Great Day
The product of 4x and 0 is:
a- 4x
b- 4
c- 0
d- none of these
The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is ₹157. Find the sum
Answer:
The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is Rs. ... Hence, the sum is Rs. 63,100.
Step-by-step explanation:
Hopefully it is helpful....Have a nice day..
Andrew is employed and paid at rate of R650 per day . Calculate his new daily rate after a 7% increase. Show all your calculations
Answer:
650 x 1.07 = 695.5.......
Can anyone write out "the sum of 2 and the quotient of b is 5 when b equals 9" in numbers?
Answer:
2+b=5, b=9
Step-by-step explanation:
Given that BE bisects LAB Din the figure below, find the value of x.
help please!
Simplify (2^5/3^2)^4.
Answer:
Frist one is the answer of this question.
Hope it helps you.6.5 / (2.2 x 3.6 / 7.92)
(pls help)
Answer:
6.89
Step-by-step explanation:
Do what's in the parentheses first then the rest and I rounded. Hope this helps!
Solve the triangle.
A = 46°, a = 31, b = 27
Step-by-step explanation:
a=31
b=27
A = 46 degree
now, Area of ️ABC =ab siny÷2
=31×27 sin46÷2
=301.04371 .
please help me, if you help then thanks!
Answer:
[tex] {x}^{2} {y}^{8} [/tex] (second option)
Step-by-step explanation:
[tex] \frac{( {x}^{2} {y}^{3} {)}^{4} }{( {x}^{3} {y}^{2} {)}^{2} } [/tex]
[tex]( {x}^{2} {y}^{3} {)}^{4} = ( {x}^{2} {)}^{4} \times ( {y}^{3} {)}^{4} [/tex]
[tex] {x}^{8} \times ( {y}^{3} {)}^{4} = {x}^{8} {y}^{12} [/tex]
[tex] \frac{ {x}^{8} {y}^{12} }{( {x}^{3} {y}^{2} {)}^{2} } = \frac{ {x}^{8} {y}^{12} }{ {x}^{6} {y}^{4} } [/tex]
[tex] \frac{ {x}^{2} {y}^{12} }{ {y}^{4} } = {x}^{2} {y}^{8} [/tex]
[tex] = {x}^{2} {y}^{8} [/tex]
Qu. In a triangle ABC, side AB has length 10cm, side AC has length 5cm, and angle BAC = θ
where θ is measured in degrees. The area of triangle ABC is 15cm^2
(a) Find the two possible values of cos θ
Given that BC is the longest side of the triangle,
(b) find the exact length of BC.
Answer:
To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8
To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205
The tempature at 5 P.M. is 20 degrees f. The temperature at 10 P.M. is -5 degrees f. How many degrees did the temperature fall?
Answer:
25 degreea bestie hope thiis helped
a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?
Answer:
9/10
Step-by-step explanation:
0.90 = 0.9 = 90/100 = 9/10
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Mary is putting money into savings account. She starts with $750 in the savings accounts, and each week she adds $30.
Write the 127.5 in scientific notation please.
Mrs bell ha a 256 ounce bag of potting soil. What is the greatest number of 6 ounce pots she can completely fill with soil
Answer:
42
Step-by-step explanation:
256/6 = 42.6666 ≈ 42
round down as they want the pots to be completely filled
Determine whether the statement is true or false.
13 € {1, 2, 3, ..., 10}
True
False
Answer:
Determine whether the statement is true or false.
13 € {1, 2, 3, ..., 10}
True
(1 point) Find the equation of the line that contains the point (8,6) and is perpendicular to the line 3x + 2y = 2. Write
the equation in the form y = mx + b and identify m and b.
Step-by-step explanation:
Equation of given line:
3x+2y=2
2y=-3x+2
y=-3/2 x +2
slope =m1=-3/2
As lines are perpendicular:
m1×m2=-1
-3/2×m2=-1
required slope=m2=2/3
By using point slope form:
y-6=2/3(x-8)
3y-18=2x-16
3y=2x-16+18
3y=2x+2
y=2/3 x+2
m=2/3 ,b=2
Note:if you need to ask any question please let me know.Plsssssssssssss help me
Find the value of x.
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The angle bisector divides the sides proportionally.
(6x -1)/42 = (10x +5)/78
13(6x -1) = 7(10x +5) . . . . . . . multiply by 546 = LCM(42, 78)
78x -13 = 70x +35 . . . . . . . . eliminate parentheses
8x = 48 . . . . . . . . . . . . . . . . add 13-70x
x = 6 . . . . . . . . . . . . . . . . . divide by 8
1.2 hours in hours and minutes
Answer:
1 hour 12 minutes
Step-by-step explanation:
1.2 × 60 = 72 minutes
72-60 = 12 minutes
Grass seed is going to be spread over a playing field. The number of
bags of seed needed depends on the size of the field. The rectangular
field is 87 yards long and 60 yards wide. What is the area of the field?
Answer:
A =5220 yd^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w where l is the length and w is the width
A = 87 * 60
A =5220 yd^2
what is the slope -intercept of this line
Step-by-step explanation:
at x (2,-2)
y(0,4)
You can use the formula Y = MX + C
Which property is shown?
If m ZABC = m ZCBD, then mZCBD = m ZABC
reflexive property
substitution property
symmetric property
Transitive property
9514 1404 393
Answer:
(c) symmetric property
Step-by-step explanation:
The symmetric property of equality lets you swap sides of the equal sign.
__
Reflexive: A = A
Substitution: if A=B and A=C, then C=B
Symmetric: A = B ⇔ B = A
Transitive: if A = B and B = C, then A = C.
note that the substitution and transitive properties are almost indistinguishable.
Which notation indicates 2 congruent segments
Answer:
≅ is congruent
Step-by-step explanation:
║ is parallel
⊥ perpendicualr