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tekilochka [14]
3 years ago
8

Tom wants to buy a sweater for $30. the sale tax is 3%. what is the total costs

Mathematics
1 answer:
Vesna [10]3 years ago
5 0

Answer:

$30.90

Step-by-step explanation: 30 + .09 = 30.09


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In the right triangle shown Ac=BC and AB=6 to the square root of 3, how long are each of the legs
Inga [223]

Answer:

6 units

Step-by-step explanation:

I will just assume that you made a typo when typing the question when saying AB is 6√3. Here is the solution if AB = 6√2.

Since it is given that ABC is a right triangle and x labels each of the legs, the triangle is a right isoceles triangle.

Now we can use the right isoceles triangle theorem to solve the problem. This theorem states that if a leg is "x" in a right isoceles triangle, then the hypotenuse is equal to x√2.

Here, the hypotenuse is equal to 6√2. To figure out the legs, you need to solve the equation 6√2 = x√2. It is solved here:

6√2 = x√2 (Divide by √2)

x = 6

The length of the legs are 6 units.

4 0
3 years ago
Linda's penny bank is 2/3 full. After she removes 80 pennies, it is 1/2 full. How many pennies can Linda's bank hold?
Ksju [112]
Let x = the total number of pennies her piggy bank can hold.
Then 2/3x = the number of pennies she started with
Then 2/3x - 80 = the number of pennies she has left after taking out 80 pennies.
Then 1/2x = the number of pennies she has left after taking out 80 pennies.
Build the equation.

2/3x - 80 = 1/2x

Subtract 1/2x from each side of the equation.

(2/3x - 80) - 1/2x = 1/2x - 1/2x

1/6x - 80 = 0

Add 80 to both sides of the equation.

(1/6x - 80) + 80 = 0 + 80

1/6x = 80

Divide both sides by 1/6.

(1/6x) / 1/6 = 80 / 1/6

x = 480

So, Linda's piggy bank can hold 480 pennies!

8 0
3 years ago
5. Which polynomial is equal to (x5 + 1) divided by (x + 1)?
Mkey [24]

Answer:

B  x^4-x^3+x^2-x+1

Step-by-step explanation:

Given,

Dividend = (x^5+1)

Divisor = (x+1)

Step 1: First The dividend is (x^5+1) and Divisor is (x+1) when divided first time the quotient will be x^4 and remainder will be -x^4+1

Step: 2 Now the new dividend is -x^4+1 and Divisor is (x+1)  when divided the quotient will be x^4-x^3 and remainder will be x^3+1

Step: 3 Now the new dividend is x^3+1 and Divisor is (x+1)  when divided the quotient will be x^4-x^3+x^2 and remainder will be -x^2+1

Step: 4 Now the new dividend is -x^2+1 and Divisor is (x+1)  when divided the quotient will be x^4-x^3+x^2-x and remainder will be x+1

Step: 5 Now the new dividend is x+1 and Divisor is (x+1)  when divided the quotient will be x^4-x^3+x^2-x+1 and remainder will be 0.

Hence When the polynomial (x^5+1) is divided by  (x+1) the answer or quotient will be equal to  x^4-x^3+x^2-x+1 and remainder will be 0.

5 0
3 years ago
Line segment AB has a length of 2 units. It is translated 6 units to the right on a coordinate plane to obtain line segment A'B'
NeTakaya
2 units, because translations do not change the length of segments. Hope this helps!
6 0
3 years ago
Read 2 more answers
How many cups are in 25 gallons
dmitriy555 [2]
There are 400 cups in 25 Gallons !!!
8 0
3 years ago
Read 2 more answers
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