Solve this inequality j/4 -8<4
Answers
Take 8 to the right side
Multiply by 4 on either sides to isolate the variable
j < 48
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Answers
Let x be number of 8 cent stamps, y be 10 cent stamps, and z be 2 cent stamps.
x=y
z=x+y
8x+10y+2z=440
Lets first solve for x:
from x=y and z=2x(from first equation) the last equation is
8x+10x+4x=440
22x=440
x=20
know that x=20, you also know that y=20 as well, since z=x+y, z=40.
So 20 8-cent stamps, 20 10-cent stamps, and 40 2-cent stamps.
y=number of 2-cent stamp.
$4.40=400 cents
She bought the same number of 8.cent stamp and 10 -cent stamps, she also bought as many 2-cent stamps as both, therefore:
x+x=y ⇒2x=y
We can suggest this system of equations:
2x=y
8x+10x+2y=440
We can solve this system of equation by substitution method.
8x+10x+2(2x)=440
8x+10x+4x=440
22x=440
x=440/22
x=20
y=2x
y=2(20)=40
Answer: She bought 20 stamps of 8 cents, 20 stamps of 10 cents, and 40 stamps of 2 cents
Answers
Answer: Two and ninety-six hundredths in decimal form would be 2.96!
Step-by-step explanation:
Answers
Answer:
3/2
Step-by-step explanation:
TO figure out the slope on a graph, we have to use the Rise/Run method to get to the other point.
Use the calculator provided and round your answer to the nearest gram.
Answers
Answer:
3.047
Step-by-step explanation:
I'm not completely sure but i think its close
Final answer:
Applying the concept of half-life, if we start with 195 grams of a radioactive isotope, after 6 half-lives, we would be left with approximately 3 grams of the isotope.
Explanation:
The half-life concept is very important in Nuclear Physics, especially when we deal with Radioactive Isotopes. Regarding your question, if an isotope has a half-life, it means after each half-life, the quantity of the isotope decreases by half. So, to determine the remaining mass of a radioactive isotope after 6 half-lives, we have to consecutively halve the initial mass 6 times.
- After the first half-life, 195 grams will become 97.5 grams.
- After the second half-life, 97.5 grams will become 48.75 grams.
- After the third half-life, 48.75 grams will become 24.375 grams.
- After the fourth half-life, 24.375 grams will become 12.18 grams.
- After the fifth half-life, 12.18 grams will become 6.09 grams.
- After the sixth half-life, 6.09 grams will become around 3 grams (when rounded to the nearest gram).
So, after 6 half-lives, there will be approximately 3 grams of the isotope left.
Learn more about Half-life here:
#SPJ11
2
B.
3
C.
12
D.
28
Answers
Answer:
D. 28
Step-by-step explanation:
Please find the attachment.
We have been given that the diagonals of rectangle NOPQ intersect at point R. We are asked to find the value of x.
We will use diagonal property of rectangle, which states that diagonals of rectangle are equal and bisect each other.
Using diagonal property of rectangle, we can conclude that the segment NP is 2 times segment OR, so we can set an equation as:
Upon substituting the given expressions for both segments we will get,
Using distributive property we will get,
Subtracting 5x from both sides we will get,
Now, we will add 8 on both sides
Therefore, the value of x is 28 and option D is the correct choice.
find the attachments for the details
Answers
Let us take costs of a piece of toast = $t, , one bagel cost=$b and a muffin cost=$m.
Larry
Two pieces of toast and a bagel cost = $1.30
2t+b=1.30 -------------equation(1)
Let us solve the equation(1) for t in terms of b, because we need to find one bagel cost.
Subtracting b from both sides we get
2t+b-b=1.30-b
2t= 1.30-b
Dividing by 2 on both sides.
2t/2= (1.30-b)/2
t= (1.30-b)/2
Curly
A bagel and a muffin cost = $2.50.
b + m = 2.50 -------------equation(2)
Solving equation for m in terms of b, we get
m= 2.50-b.
Moe
A piece of toast, two bagels, and three muffins cost = $6.95
t + 2b + 3m = 6.95 ......................equation(3).
Substituting t= (1.30-b)/2 and m= 2.50-b in equation (3)
(1.30-b)/2 + 2b + 3(2.50-b) = 6.95 .
Multiplying each term by 2 to get rid 2 from denominator of (1.30-b).
2*(1.30-b)/2+ 2*2b + 2*3(2.50-b) = 2*6.95
1.30-b + 4b + 6(2.50-b) = 13.90.
1.30 - b + 4b +15 - 6b = 13.90
Combining like terms
-3b +16.30 = 13.90
Subtracting 16.30 from both sides.
-3b +16.30-16.30 = 13.90-16.30.
-3b= -2.4
Dividing both sides by -3.
-3b/-3 = -2.4/-3
b = 0.8
Therefore, cost of one bagel = $0.80.