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lianna [129]
3 years ago
7

How do you simplify 3:9:15:24

Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0
All of those numbers have a common factor, which is 3. So you divide all of their values by 3.

3:9:15:24
=1:3:5:8

Because the values cannot be divided anymore, this ratio is in it's simplest form.
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Solve (2x-1/4)+(x/3)=2<br> Please provide a step by step with explanation
andrew11 [14]

Answer:

x = 27/10 or x = 2.7

Step-by-step explanation:

Step 1: Get rid of the denominator.

LCD of 4 & 3: 12

Multiply both sides by 12.

12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)

Reduce the numbers.

3 ( 2x - 1) + 4x = 24

Step 2: Distribute.

6x - 3 + 4x = 24

Step 3: Collect like terms.

6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)

10x = 27

Step 4: Solve for x.

Multiply both sides by 10.

10x / 10 = 27 / 10 (the 10 cancels out)

x = 27 / 10 or x = 2.7

Answer: x = 27 / 10 or x = 2.7

7 0
2 years ago
What is the exact volume of the cone with a radius of 7in and a height of 4in use 3.14 for π
vfiekz [6]

Answer:

The exact volume of the cone is \frac{196}{3}\pi\ in^{3}

Step-by-step explanation:

we know that

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=7\ in

h=4\ in

substitute the values

V=\frac{1}{3}\pi (7^{2})(4)=\frac{196}{3}\pi\ in^{3}

8 0
3 years ago
Read 2 more answers
The following graph describes function 1 and the equation below it describes function 2:
Tanya [424]
Function 1: 
f(x) = -x² + 8(x-15)f(x) = -x² <span>+ 8x - 120
Function 2:
</span>f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4

Function 2 derivative:  -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒  x= 2
Function 1: f(x) = -x² <span>+ 8x - 120 ; x = 4
f(4) = -4</span>² + 8(4) - 120 = 16 + 32 - 120 = -72
<span>
Function 2: </span>f(x) = -x²<span> + 4x+1 ; x = 2
</span>f(2) = -2² + 4(2) + 1 = 4 + 8 + 1 = 13

Function 2 has the larger maximum.
8 0
3 years ago
Calculate the volume of the given pyramid to the nearest tenth
ankoles [38]

Answer:(A.)

Step-by-step explanation:The reason why its a its because that 13x8=104x17=1,768/3=589.3. Therefore 589.3 can not be round to the nearest tenth.

4 0
3 years ago
Δ ≡ ⇄ → 20 POINTS (answers in picture) ← ⇆ ≡ Δ
Strike441 [17]

54x - 60 + 36 - 6x = -8\\\\54x +\underbrace{(- 60 + 36)}_{+} - 6x = -8

<h3>Add -60 and 36</h3>
3 0
3 years ago
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