Amelia takes her two cats sparkle and twinkle to the vet the vet says that sparkle is 464 mm long and twinkle is 46 cm long which of Amelia's cats is longer EXPLAIN
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Solve for x and y simultaneouslyx+3y=5xy+y² =3
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To increase an amount by 3% what single multiplier would you use?
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7x^2-14x=-6
then we have
A(x^2-2x)=-6
what is A?
hmm (this should be painfully obvous, but if not, here are steps)
7x^2-14x=-6
A(x^2-2x)=-6
7x^2-14x=-6=A(x^2-2x)
7x^2-14x=A(x^2-2x)
undistribute 7
7(x^2-2x)=A(x^2-2x)
divide both sides by (x^2-2x)
7=A
A=7
Answer:
D
Step-by-step explanation:
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19) r = 4 ft
Area of the whole circle = (pi)r^2= 22/7 *4*4 = 50.28
Area of the sector = 75/360*50.28= 97.77 ft^2
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Answer:
57/18 or 3 1/6
Step-by-step explanation:
Step 1:
5 7/10 × - 5/9 Equation
Step 2:
57/10 × - 5/9 Change to Improper Fraction
Answer:
57/18 or 3 1/6
Hope This Helps :)
Answers
Add 12 to both sides
2|n| = 16 + 12
Simplify 16 + 12 to 28
2|n| = 28
Divide both sides by 2
|n| = 28/2
Simplify 28/2 to 14
|n| = 14
Break down the problem into these 2 equations
n = 14
-n = 14
Solve the 1st equation: n = 14
n = 14
Solve the 2nd equation: -n = 14
n = -14
When you collect all solutions;
n = ±14
4X-(9-3X)=8X-1
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4x - (9) - -(3x) = 8x - 1
4x - 9 + 3x = 8x - 1
7x - 9 = 8x - 1 (-8x from each side)
-x - 9 = -1 (+9 to each)
-x = 8 (divide -1 from each side)
x = -8
In the equation, if we are to solve for x, the result would be -8.
How to solve for x
To solve for x in the expression, the first step would be to collect like terms. Thus, we would have;
4x - (9 - 3x) = 8x - 1
4x -9 + 3x = 8x - 1
Collect similar terms
4x + 3x - 8x = -1 + 9
-x = 8
Divide both sides by -1
x = -8
So, the value of x in this equation is -8.
Learn more about equations ehre:
#SPJ6
Answers
5.9 years.
Explanation:
Let x be the number of years. For the checking account, our expression would be 10000-1200x, since he withdraws $1200 from his account each year, and he begins with $10,000.
The formula for simple interest is:
I=prt
where:
p is the principal, r is the rate and t is the time
using our information, we have
p=2000,
r=8%=8/100=0.08, and
t=x.
This gives us 2000(0.08)(x).
However, we must add the $2000 to this (interest is added on to the principal); this gives us:
2000+2000(0.08)(x).
Setting these two equal, we have:
10000-1200x = 2000+2000(0.08)(x).
Simplifying the right hand side, we have:
10000-1200x=2000+160x.
Add 1200x to both sides:
10000-1200x+1200x=2000+160x+2000x;
10000=2000+1360x.
Subtract 2000 from both sides:
10000-2000=2000+1360x-2000;
8000=1360x.
Divide both sides by 1360:
5.9=x.
Let x be the number of needed years.
1. He deposits $10,000 into his checking account and he will withdraw $1,200 from his checking account each year. Then after x years he will have $10,000-$1,200x in his checking account.
2. He deposits $2,000 into his savings account and his savings account earns 8% interest each year, then after x years he will have
3. Equate these amounts of money:
4. Solve this equation:
- divide the equation by 400:
- plot graphs of the function
and
(see attached diagram);
- find the common point of these two graphs: (6.663,5.01).
Conclusion: he needs nearly 6.663 years.