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GaryK [48]
2 years ago
12

2/3 X +9 equals -18 what is x?

Mathematics
2 answers:
alex41 [277]2 years ago
6 0
Exact form: x = -81/2
____________________________
decimal form: x = -40.5
____________________________
mixed number form: x = -40 1/2
____________________________

(please give thanks if this was helpful)

BabaBlast [244]2 years ago
5 0

Answer:

-81/2

Step-by-step explanation:

2/3x+9=-18

2/3=-27 Minus 9 from each side

2/3=-27 Divide 2/3 from each side

x=-81/2

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Tennis balls are sold in cylindrical cans with the balls stacked one on top of the other. A tennis ball has a diameter of 6.7 cm
andrey2020 [161]

Answer:

629.92 cm^3

Step-by-step explanation:

The minimum volume of the can that can hold 4 tennis balls must have at least the same volume as 4 tennis balls.

The volume of one tennis ball, V = \frac{4}{3}\pi  r^3

where r = radius of the tennis ball

The diameter of a ball = 6.7 cm

Its radius will be = 6.7 / 2 = 3.35 cm

Volume, V, will be:

V = \frac{4}{3}\pi  (3.35)^3

V = 157.48cm^3

Hence, the volume of 4 balls will be:

4 * V = 4 * 157.48 = 629.92 cm^3

The minimum volume that the cylindrical can has to have is 629.92 cm^3.

6 0
3 years ago
Can someone explain division of polynomials to me please.
kykrilka [37]

Answer: Division of Polynomials is just like the long division  that most of us despise but this division is with Variables

Step-by-step explanation:

Example

With whatever equation you have you will

  • First: set up the division putting the dividend inside the divisor outside and to the left
  • Second: Ignore everything past the leading terms and just focus on the leading _ of the divisor and the leading _ of the dividend (just like in regular long division.
  • Thirdly: Take whatever is on top and multiply is by the divisor {What is on the side} carry the result underneath put it exactly below the number from the dividend
  • Fourth: Multiply the number that is on top by the number that is on the side, carry what is on the side underneath putting it below the other dividend.
  • Fifth: Do the subtraction
  • Sixth To subtract change all the signs in the second line, then add down.
  • Next: Carry down that last term from the dividend
  • From there you multiply and then add down again and you should be left with the answer....

If this was to many words let me know and I will upload a picture and explain with a real equation.

3 0
2 years ago
The info is in the picture
Jet001 [13]

Answer:

no it isn't the inverse.

3 0
3 years ago
Which equation has the solution x = 3?
miss Akunina [59]

Answer:

9-3x=0

Step-by-step explanation:

Add 3x to both sides

9=3x

divide both sides by 3

3=x

x=3

3 0
2 years ago
Read 2 more answers
A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br
natima [27]

Answer:

Step-by-step explanation:

Given that:

A study is conducted and the study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands.

a)

Thus; we formulate the null and the alternative hypotheses as follows:

The proportion is ; \frac{64}{100} = 0.64

Null hypothesis:    {H_0}:p = 0.64  

The Null hypothesis states that there is no evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

Alternative hypothesis: {H_a}:p \ne 0.64H

The Alternative hypothesis states that there is evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

b)

The proportion of the population = 0.64

The sample size n = 100

The number of shoppers = 52  stating that the supermarket brand was as good as the national brand

The sample proportion \hat  p = \frac{52}{100}

\hat  p = 0.52

The z - value is calculated by the formula:

z = \dfrac{\hat p-p}{\frac{\sqrt{ p(1-p)}}{100 }}

z = \dfrac{0.52-0.64}{\frac{\sqrt{ 0.64(1-0.64)}}{100 }}

z = \dfrac{-0.12}{0.048 }}

z = -2.50

Since z = -2.50

the p-value = 2P(Z ≤ -2.50)

p-value = 2 × 0.0062

The p-value = 0.0124

c)

At  significance level,  ∝ = 0.05 ; The p-value = 0.0124

According to  the rejection rule, if p-value is less than 0.05 then we will reject null hypothesis at ∝ = 0.05

Hence, the p-value =0.0124 < ∝ (=0.05)

According to the reject rule; reject null hypothesis.

Conclusion: There is no evidence at all that the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%.

d) we know that the significance level of ∝  = 0.05

The value{z__{0.05}}  is obtained as:

P\left( {\left| Z \right| \le z} \right) = 0.05

Now; to determine Z ; we locate the probability value of 0.05 form the table of standard normal distribution. Then we proceed to the left until the  first column is reached and  the value is 1.90. Also , we move upward until we reach the top and the value is 0.06. Now; the intersection of the row and column results the area  to the left of z

This implies that :P(Z \leq -1.96)=0.05

The critical value for left tail is -1.96 and the critical value for right tail is 1.96.

Conclusion:

The critical value is -1.96 and the value of test statistic is - 2.50.  Here, we can see that  the value of test statistic is lesser than the critical value. Hence, we can be concluded that there is evidence that reject the null hypothesis.

Therefore, Yes, the national brand ketchup manufacturer is pleased with the conclusion.

5 0
2 years ago
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