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elena-14-01-66 [18.8K]
3 years ago
8

Solve for x in each of the equations or inequalities below, and name the property and/or properties used:

Mathematics
1 answer:
nordsb [41]3 years ago
4 0

Answer

a) 3/4 x = 9

    x = \dfrac{9\times 4}{3}

    x = 12

b)  10+ 3x = 5x

     2 x = 10

        x = 5

c) a + x = b

       x = b - a

d) c x = d

      x =  \dfrac{d}{c}

e)  \dfrac{1}{2} x - g < m

     \dfrac{1}{2} x< m + g

              x  < 2( m + g)

f) q + 5 x = 7 x - r

   q + r = 2 x

      x = \dfrac{q + r}{2}

You might be interested in
6n + 9 = -3 - 21 - 6
denis23 [38]
6n+9=-3-21-6
subtract the numbers:-3-21-6=-30
6n+9=-30
subtract 9 from both sides
6n+9-9=-30-9
simplify
6n=-39
divide both sides by 6
\frac{6n}{6}= \frac{-39}{6}
n= \frac{-13}{6}
decimal n=-6.5
Hope this helps :)
3 0
3 years ago
Please please help meeee
Daniel [21]

Answer:

1.5 km

Step-by-step explanation:

Length of pool = 25m

no.of lengths. = 60

Total length of he swim s = 25m* 60

= 1500m

You know , 1000m = 1km ,

so,

He swims 1500m/1000m

= 1.5 km

4 0
3 years ago
a conical tank with vertex down is 10 feet across the top and 12 feet deep. If water is flowing out of the tank at a rate of 12
TiliK225 [7]

Answer:

The water level is dropping at a rate of 0.24 ft/s

Step-by-step explanation:

Here, we simply want to calculate the change in depth (height of the cone) , given the volume change

Mathematically, we have the volume of a cone as;

V = 1/3 * π * r^2 * h

we are given dv/dt as 12 ft^3/m

dv/dh = 1/3 * π * r^2

Substituting the value for the radius, we have

dv/dh = 1/3 * 22/7 * 4^2 = 50.29

dh/dt = dh/dv * dv/dt

dh/dv = 1/(dv/dh) = 1/50.29

Thus,

dh/dt = 1/50.29 * 12

dh/dt = 0.24 ft/s

3 0
3 years ago
In rectangle QRST, diagonals QS and RT are drawn and intersect at point P. Which of the following st
natta225 [31]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Sin (3x+19)=Cos(5x-25) <br> What is the value of x? <br> A) 6 <br> B) 12 <br> C) 18 <br> D) 24
malfutka [58]

Answer:

B

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Given

sin(3x + 19) = cos(5x - 25), then

3x + 19 = 90 - (5x - 25)

3x + 19 = 90 - 5x + 25

3x + 19 = 115 - 5x ( add 5x to both sides )

8x + 19 = 115 ( subtract 19 from both sides )

8x = 96 ( divide both sides by 8 )

x = 12 → B

5 0
3 years ago
Read 2 more answers
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