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Elan Coil [88]
3 years ago
9

X-3/2=x+8/6 solve the proportion

Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

x = 17/2

Step-by-step explanation:

x-3        x+8

------ = ------------

2               6

Using cross products

(x-3) *6 = 2 (x+8)

Distribute

6x - 18 = 2x+16

Subtract 2x from each side

6x-2x-18 = 2x-2x+16

4x-18 = 16

Add 18 to each side

4x-18+18 = 16+18

4x = 34

Divide each side by 4

4x/4 = 34/4

x = 17/2

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What is the value of x when 2x+3=3x-4
slavikrds [6]
2x+3=3x-4
try to isolate the x term
you must do the same thing to both sides or else it won't be equal anymore

2x+3=3x-4
add 4 to both sides
2x+3+4=3x+4-4
2x+7=3x+0
subtract 2x from both sides
2x-2x+7=3x-2x
0+7=x
7=x

the answer is x=7
6 0
3 years ago
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A dolphin is 42 feet underwater and ascends at a constant rate for 14 seconds until it reaches the surface. Identify and interpr
Cloud [144]
Ok so, based on the graph lets say that x = seconds and  y = depth of dolphin. the interception in both points is when they are at 0 i.e when x is equals 0 and y equals 0. So At 0 seconds, the dolphin is 42 feet below the surface. So we say that x = 0, y = -42 and then the y intercepts = -42 so the point of interception is(0 (seconds),-42(depth of the dolphin)) When the clock says it's 14 seconds, the dolphin is even with the surface (0 below the surface this time). So we say that x = 14, y = 0. In this case The x intercept = 14 (14,0). But we need to calculate The slope with the formula= (y2 - y1)/(x2 - x1) = 42/14 = 3. Therefore, the formula for this line is y = 3x - 42.
3 0
3 years ago
una fracion reducicion a su minima expresion en igual a 1/8 . si la suma de sus terminos es 72. hallar la diferencia entre ellos
Mandarinka [93]

La diferencia entre el denominador y el númerador de la fracción es:

64 - 8 = 56.

<h3>¿Como encontrar la fracción?</h3>

Tendremos una fracción de la forma:

\frac{a}{b}

Tal que:

\frac{a}{b} = \frac{1}{8}

a + b = 72

Eso es un sistema de ecuaciones

Primero, podemos reescribir la primer ecuación como:

8a = b

Ahora podemos reemplazar "b" en la segunda ecuación por "8a", así obtenemos:

a + 8a = 72\\\\9a = 72\\\\a = 72/9 = 8

Ahora podemos obtener el valor de b:

b = 8a = 8*8 = 64

La diferencia entre a y b es:

b - a = 64 - 8 = 56

Sí quieres aprender m'as sobre sistemas de ecuaciones:

brainly.com/question/13729904

#SPJ1

7 0
2 years ago
Would y^10/y^10 become 1?
mote1985 [20]

Answer:

yes

Step-by-step explanation:

If you are dividing it will become 1 because 10 minus 10 equals 0. Anything to the power of 0 is 1 then you keep the base which is y so the answer is y

If you are multipling the answer will be y^10  because 10 plus 10 is 20 and you keep the base which is y

5 0
3 years ago
The largest set of x values satisfying
velikii [3]

Answer:

If p\ge -\dfrac{1}{3}, then x>\dfrac{2}{3}+p and mn=\dfrac{2}{3}+p=\left(\dfrac{2}{3}+p\right)\cdot 1,\ \ m+n=\dfrac{5}{3}+p

Step-by-step explanation:

Solve two inequalities for x.

1. 2,018x-p

Separate terms with x and without x into two sides:

2,018x-2,020x

Multiply by -1:

2x>-2p\\ \\x>-p

2. 7x+3p

Separate terms with x and without x into two sides:

7x-10x

Multiply by -1:

3x>2+3p\\ \\x>\dfrac{2}{3}+p

Find the largest set of x values satisfying both inequalities:

x>-p\\ \\x>\dfrac{2}{3}+p

If

-p>\dfrac{2}{3}+p\\ \\-2p>\dfrac{2}{3}\\ \\2p

then x>-p and mn=-p=p\cdot (-1),\ m+n=p-1. In this case both m and n are negative.

If p>-\dfrac{1}{3}, then x>\dfrac{2}{3}+p and mn=\dfrac{2}{3}+p=\left(\dfrac{2}{3}+p\right)\cdot 1,\ \ m+n=\dfrac{5}{3}+p

If p=-\dfrac{1}{3}, then x>\dfrac{1}{3} and mn=\dfrac{1}{3}=\dfrac{1}{3}\cdot 1,\ \ m+n=\dfrac{4}{3}

7 0
3 years ago
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