keith spent 60% of jis birthday money at the mall. If he spent $24 at the mall, how much money did Keith receive for his birthday

Answers

Answer 1
Answer: 24 x 100 = 2400

2400 divided by 60 = 40

Keith got $40 for his birthday.
Answer 2
Answer: We know that Keith spend 60% of his money, or $24
60% = $24
To find 100%, we must first find 10%
To get from 60% to 10%, we divide by 6
Do the same to the other value
$24 / 6 = $4
10% = $4
To find 100%, we now multiply by 10
$4 x 10 = $40
Keith received $40 for his birthday

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A rope 29 ft long rope is tied to the top of a flag pole. The rope is staked to the ground 21 ft away from the base of the pole. How tall is the flag pole?

Answers

Answer: 20 ft


Step-by-step explanation:

Given: The length of rope tied to the top of a flag pole=29 ft

The distance between base of the pole and the point on ground where the rope is stacked= 21 ft

Let x be the height of flagpole.

Now, we can see the figure that the given situation represents a right triangle

Where longest side= 29

By Pythagoras theorem of right triangle, the square of the longest side is equal to the sum of the squares of the other two sides.

29^2=21^2+x^2\n\Rightarrow\ x^2=29^2-21^2\n\Rightarrow\ x=841-441\n\Rightarrow\ x=400\n\Rightarrow\ x=√(400)\n\Rightarrow\ x=20

Hence, the height of flagpole = 20 ft.

It's like A2+B2=C2 so:
A2+B2=C2
A2+ 21(squared)=29(squared)
A2=441=841
A2=400
A=√(400)
A=20

which of the following mesurments are greater than 130 fluid ounces. 5 quarts, 16 cups, 9 pints, 2 gallons or 1 gallon

Answers

130 fluid ounces to quarts is 4.06, so 5 quarts is larger.

130 fluid ounces to cups is 16.25, so 16 cups is smaller.

130 fluid ounces to pints is 8.13, so 9 pints is larger.

130 fluid ounces to gallons is 1.02, so 2 gallons is larger and 1 gallon is smaller. 
9 pints i'm pretty sure i'm right hope i helped

Which two lines are parallel? Circle your answers. y=3x+2
y=3x+4
y=2x+4

Answers

Line y=3x+2 and line y=3x+4 are parallel.
Lines (y=3x+2) and (y=3x+4) because they have the same slope of 3x

What is the 10th term of the sequence:5,9,13,17

Answers

The pattern is add 4
5, 9, 13, 17, 21, 25, 29, 33, 37, and 41.
Your answer is 41.


5,9,13,17,..........

The difference between each number is 4. Now lets continue the sequence.

5,9,13,17,21,25,29,33,37,41,......

Now I continued the sequence to 10th term. The 10th term is 41.


Other way is 4+n where n is the # of term. 

Hello:) anyone able to help with 7? Thank you!

Answers

Answer:

Angle of depression from C to T measures approximately 20.52^o

Step-by-step explanation:

To start, we use triangle DTA to find the length of the side AT, making use of the tangent function:

tan(23^o)=(AT)/(28\,m) \nAT=tan(23^o)\,* 28\,m\nAT=11.89\,m

Now we need to find the size of the rectangular land diagonal:

diagonal=√(28^2+15^2)=31.76\,m

With this information, we can now find the measure of angle "C" (depression angle from C to T), using the triangle ACT:

tan(C)=(opposite)/(adjacent) \ntan(C)=(11.89)/(31.76)\nC=arctan((11.89)/(31.76))\nC=20.52^o

Hasan wants to make an art design with an area of 50 square centimeters. If he males his design on centimeter grid paper,how many squares would the design cover? Tell how you know.

Answers

50 squares.

If Hasan is using a centimeter grid paper, then 50cm² means 50 little 1cm² squares :)
i am pretty sure the answer is 50 
i really hope i heled you out in some type of way :)