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vredina [299]
3 years ago
14

Audrey made 3 water balloons for every 6 guests at the party. How many water

Mathematics
1 answer:
Triss [41]3 years ago
5 0

Answer:

4 balloons

Step-by-step explanation:

3:6= 1:2

2*3= no. of guest, 1*3= no. of balloons

SO

2*4 (8)= number so guests, and 1*4 (4)= number of balloons

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What is the simplified form of this expression?<br><br> 7a2 + 10a − 3a − 2a2
nikklg [1K]

Answer:

What is the simplified form of this expression?

7a2 + 10a − 3a − 2a2

Step-by-step explanation:

7a2 + 10a − 3a − 2a2

Combine like terms

742 + 10a - 3a - 2a2

742 + 7a - 2a2

solution=

5a2 + 7a

6 0
3 years ago
Read 2 more answers
∠CAT and ∠MUD are supplementary. If m∠CAT=11x+16 and m∠MUD=4x+14, find the measure of each angle.
Georgia [21]

Answers:

  • x = 10
  • angle CAT = 126 degrees
  • angle MUD = 54 degrees

=========================================================

Explanation:

∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.

( m∠CAT ) + ( m∠MUD ) = 180

( 11x+16 ) + ( 4x+14 ) = 180

11x+16 + 4x+14 = 180

(11x+4x) + (16+14) = 180

15x+30 = 180

15x = 180-30

15x = 150

x = 150/15

x = 10

Let's find each angle based on this x value

  • m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
  • m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees

Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.

8 0
2 years ago
If r = 9 units and x = 5 units, then what is the volume of the cylinder
GuDViN [60]

Answer:

The answer is volume= 1272

Step-by-step explanation:

volume of a cylinder= pi (3.14)*r^2*h

3.14*9^2*5, 3.14*81*5= 1271.7 when rounded is 1272

5 0
3 years ago
When multiplying fractions do you multiple it like this: 5/6 × 7/8 35/48 and if you are multiplying fractions with the same deno
Mnenie [13.5K]

Step-by-step explanation:

5/8 × 6/8= 30/8 => this is the wrong one

it should be 5/8 × 6/8= 30/64.

9/10×3/10= 27/100 => this is the true one

6 0
2 years ago
JL is a common tangent to circles M and K at point J. If angle MLK measures 61ᵒ, what is the length of radius MJ? Round to the n
Sladkaya [172]
3.122

The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse. 

Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK

This means MLJ = 31 degrees since they add up to 61 degrees. 

Now we need to find the length of LJ, which we can do using the Pythagorean Theorem. 

3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL = \sqrt{27}

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.

Tan(angle) = opp/adj
Tan(31) = MJ/\sqrt{27}
\sqrt{27}Tan(31) = MJ
3.122 = MJ
7 0
3 years ago
Read 2 more answers
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