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3 years ago

What is the answer to 97 x 2.4

Mathematics

2 answers:

alexira [117]3 years ago

7 0

Answer:

232.8

Step-by-step explanation:

Quick Maths

irina1246 [14]3 years ago

6 0

Answer:

232.8

Step-by-step explanation:

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Solve the equation 3x-2 4 - 2x - 5- 1 + x 3 6

Nataly_w [17]

Answer:

$\boxed{\sf x=12}$

Step-by-step explanation:

$\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}$

First, let's find the LCM of 4, 3, and 6.

How to find the LCM:

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

LCM: 12

_________

Now, we'll Multiply by LCM:

$\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12$

Simplify:

$\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)$

Now, expand, Apply the Distributive property:

$\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}$

$\sf 9x-6-8x+20$

Combine like terms:

$\sf x+14$

________

$\bold{ 2\left(x+1\right)}$

$\sf 2x+2$

$\sf x+14=2x+2$

Subtract 14 from both sides:

$\sf x+14-14=2x+2-14$

Simplify:

$\sf x=2x-12$

Subtract 2x from both sides:

$\sf x-2x=2x-12-2x$

Simplify:

$\sf -x=-12$

Divide both sides by -1:

$\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}$

$\sf x=12$

7 0

2 years ago

PLEASE HELP!! SHOW WORK! <3 Find the area of this figure. Dimensions are in meters.

densk [106]

Answer:

2√46 + 25π/4 ≈ 33.2 . . . . m²

Step-by-step explanation:

The altitude of the triangle is given by the Pythagorean theorem. The right triangle of interest is the one that has 5√2 as its hypotenuse, and a leg of half the base shown. Then the other leg, the altitude of the triangle, is ...

h = √((5√2)² - 2²) = √46

Then the area of the triangle shown is ...

A = (1/2)bh = (1/2)(4)(√46)

A = 2√46

The area of the semicircle is given by the formula ...

A = (1/2)πr²

Filling in the radius shown, the area is computed as ...

A = (1/2)π(5√2/2)² = 25π/4

So, the total area of the figure is ...

total area = triangle area + semicircle area

= 2√46 + 25π/4 . . . square meters

≈ 33.2 . . . square meters

3 0

3 years ago

F(x) = x2 – 2x - 8

maw [93]

Answer:

The y-intercept is the point (0,-8)

see the attached figure

Step-by-step explanation:

we have

$f(x)=x^{2}-2x-8$

we know that

The y-intercept is the value of the function f(x) when the value of x is equal to zero

For x=0

$f(x)=0^{2}-2(0)-8\\f(x)=-8$

therefore

The y-intercept is the point (0,-8)

see the attached figure to better understand the problem

5 0

3 years ago

Suppose you add two vectors A and B . What relative direction between them produces the resultant with the greatest magnitude? W

Anna71 [15]

Answer: The resultant would be the sum and the difference between the vectors.

Step by step explanation: 1. The possible resultant is between the sum of the 2 vectors and the difference between the two vectors.

2. The greatest magnitude is when the vectors lie in the same direction and the sum would be the scalar sum of the two vectors. The angle between the two would be zero degree.

6 0

3 years ago

Find the value of x.

bonufazy [111]

Answer:

Step-by-step explanation:

6 0

3 years ago

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