There is a sales tax of $24 on an item that costs $276 before tax. A second item costs $218.50 before tax. What is the sales tax on the second item?

Answers

Answer 1

Answer: We have to determine the tax rate first, from the first item

So, we must find what percent is $24 of $276.

24/276 * 100 = 8.7%

Now we will calculate the 8.7% tax on the second item with cost $218.50

0.087 * 218.50 = 19.00

So the sales tax on the second item is $19

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Use inverse operation to solve 116=4n

Answers

Just divide by 4 on both sides to isolate n, that gets you 29.

Answer: 29

Step-by-step explanation:

116=4n

(Divid both sides by 4)

29=n

Help me with this question please thank you A ball is thrown downward from a window from a tall building. Its position at time t in seconds is s = 16t^2 + 32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 161 feet.

Answers

$s=16t^2+32t;\ s=161\n\n16t^2+32t=161\n\n16t^2+32t-161=0\n\na=16;\ b=32;\ c=-161\n\n\Delta=b^2-4ac\to\Delta=32^2-4\cdot16\cdot(-161)=1024+10304=11328\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n√(11328)=√(64\cdot177)=8√(177)\approx106.4\n\nx_1=(-32-106.4)/(2\cdot16)< 0;\ x_2=(-32+106.4)/(2\cdot16)=(74.4)/(32)=2.325\approx2.3\ (ft)$

if I understood correctly:
s = 16t^2 + 32t, s=161
16t^2 + 32t=161
16t^2 + 32t-161=0
t=(-32+8√177)/32=-1+√177/4≈2,326≈2,3

What are the solutions to the quadratic equation 3(x − 4)^2 = 75?a- x = −9 and x = 1
b- x = −5 and x = 5
c- x = −4 and x = 4
d- x = −1 and x = 9

Answers

the answer is (d) where x = -1 & 9

Solve the equation by completing the square. Round to the nearest tenth.x^2 + 8x = 10

A. 1.1, 9.1
B. 1.1, -9.1
c. -1.1, 9.1
D. -1.1, -9.1

Answers

B.
1.1, -9.1

$x^(2) +8x=10$

Answer: The correct option is (B) 1.1, -9.1.

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square.

$x^2+8x=10~~~~~~~~~~~~~~~~(i)$

In completing the square method, we need to make left hand side of the above given equation as a perfect square trinomial.

From equation (i), we have

$x^2+8x=10\n\n\Rightarrow x^2+2* x* 4+4^2=10+4^2\n\n\Rightarrow (x+4)^2=10+16\n\n\Rightarrow (x+4)^2=26\n\n\Rightarrow x+4=\pm√(26)\n\n\Rightarrow x=-4\pm √(26)\n\n\Rightarrow x=-4\pm 5.09\n\n\Rightarrow x=-4+5.09,~~~~~x=-4-5.09\n\n\Rightarrow x=1.09,~~~~~~~~~\Rightarrow x=-9.09.$

Rounding to the nearest tenth, we get

$x=1.1,~~-9.1.$

Thus, the required solution is x = 1.1, -9.1.

Option (B) is CORRECT.

The length of my desk is 46 cm how many centimetres short of a metre is the desk 40cm 50cm 30cm 54cm

Answers

A metre = 100 centimeters.

If you say your desk measures 46cm:

100 - 46 = 54

Than you desk is 54cm less than a metre.

Hop eit helped,

Happy homwork/ study/ exam!

Morgan measures the capacity of a juice glass to be 12 fluid ounces. If she uses the glass to drink 4 glasses of water throughout the day, how many pints of water does morgan drink?

Answers

So,

Morgan drank 4 glasses of water out of a juice glass that contains 12 fluid ounces. To find how many pints Morgan drinks, we need to multiply the number of glasses by the number of fluid ounces, convert from fl. oz. to cups, and convert from cups to pints.

4 * 12 = 48 fl. oz.

8 fl. oz. = 1 cup
48 fl. oz. = 6 cups

2 c. = 1 pt.
6 c. = 3 pt.

Morgan drink 3 pints of water.

approximately 3 liquid pints. (3.00005)

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