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Vaselesa [24]
3 years ago
8

Two thirds a number x plus 9 is 11

Mathematics
2 answers:
olga55 [171]3 years ago
8 0

Answer:

x=3

Step-by-step explanation:

First, lets write this equation out

\frac{2}{3} x+9=11

Now we can begin solving for x.

First we need to subtract 9 from each side

\frac{2}{3} x+9=11\\\\\frac{2}{3} x=2

Now, we must divide by \frac{2}{3}. Dividing by a fraction is the same as multiplying by its reciprocal, so instead I will multiply by \frac{3}{2}

\frac{2}{3} x=2\\\\x=2(\frac{3}{2} )\\\\x=\frac{6}{2} \\\\x=3

tankabanditka [31]3 years ago
3 0

Answer:

The answer to the question is x=1/2.

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Find an equation for y in terms of x
snow_tiger [21]

Answer:

y = \frac{9}{x^2}

Step-by-step explanation:

Given y is inversely proportional to x² then the equation relating them is

y = \frac{k}{x^2} ← k is the constant of proportion

To find k use an ordered pair from the table

Using x = 3 when y = 1 , then

1 = \frac{k}{3^2} = \frac{k}{9} ( multiply both sides by 9 )

9 = k

y = \frac{9}{x^2} ← equation of proportion

3 0
3 years ago
Point B is a point of tangency. Find the radius r of OC.
Bumek [7]

Answer:

r = 16 units

Step-by-step explanation:

From the figure attached,

AB is the tangent drawn from a point A to the circle C.

BC = r [Radius of the circle]

Length of AC = (18 + r)

AB = 30

By the property of a tangent drawn to a circle,

"Radius of a circle and tangent are perpendicular to each other"

AB ⊥ BC

By applying Pythagoras theorem in ΔABC,

AB² + BC² = AC²

(30)² + r² = (r + 18)²

900 + r² = r² + 36r + 324

36r = 900 - 324

r = \frac{576}{36}

r = 16 units

6 0
3 years ago
Ronnie cuts 3/5 -inch sections of wood to make a birdhouse roof. He cut 35 sections. How many inches did he cut?
Umnica [9.8K]

Answer:

If all of the sections are the same well it is 21

Step-by-step explanation:

35 x 3/5 = 21

8 0
3 years ago
Read 2 more answers
Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time
kvasek [131]

Answer:

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

Step-by-step explanation:

We must evaluate the differences of the means of the two machines, to do so, we will assume a CI  of 95%, and as the interest is to find out if the new machine has better performance ( machine has a bigger efficiency or the new machine produces more units per unit of time than the old one) the test will be a one tail-test (to the left).

New machine

Sample mean                  x₁ =    25

Sample variance               s₁  = 27

Sample size                       n₁  = 45

Old machine

Sample mean                    x₂ =  23  

Sample variance               s₂  = 7,56

Sample size                       n₂  = 36

Test Hypothesis:

Null hypothesis                         H₀             x₂  -  x₁  = d = 0

Alternative hypothesis             Hₐ            x₂  -  x₁  <  0

CI = 90 %  ⇒  α =  10 %     α = 0,1      z(c) = - 1,28

To calculate z(s)

z(s)  =  ( x₂  -  x₁ ) / √s₁² / n₁  +  s₂² / n₂

s₁  = 27     ⇒    s₁²  =  729

n₁  = 45    ⇒   s₁² / n₁    = 16,2

s₂  = 7,56   ⇒    s₂²  = 57,15

n₂  = 36     ⇒    s₂² / n₂  =  1,5876

√s₁² / n₁  +  s₂² / n₂  =  √ 16,2  + 1.5876    = 4,2175

z(s) = (23 - 25 )/4,2175

z(s)  =  - 0,4742

Comparing z(s) and  z(c)

|z(s)| < | z(c)|  

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

The very hight dispersion of values s₁ = 27 is evidence of frecuent values quite far from the mean

3 0
3 years ago
55/78= what as a decimal?
Alinara [238K]
55/78
= (55*(50/39)) / (78*(50/39))
= 70.(512820)/ 100
= 0.7(051282)

The final answer is 0.7(051282)~
5 0
3 years ago
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