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Korolek [52]
3 years ago
15

Neptune has 8 known moons. This is 2 more than 1/3 of the number of known moons on Saturn. How many moons is Saturn known to hav

e?
Mathematics
1 answer:
horrorfan [7]3 years ago
5 0
If Neptune has 8 and is 2 more than 1/3 the number of Saturn's moons, you would subtract 2 from 8 to get 6, then multiply that by 3 to get 18.
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Math help pls o; will reward
BabaBlast [244]

Answer:

see explanation

Step-by-step explanation:

Expressing as equations

9x + 10y = 297 → (1) ← that is B

8x + 5y = 194 → (2) ← that is D

To solve the system of equations, multiply (2) by - 2

- 16x - 10y = - 388 → (3)

Add (1) and (3) term by term to eliminate the term in y

(9x - 16x) + (10y - 10y) = (297 - 388), that is

- 7x = - 91 ( divide both sides by - 7 )

x = 13

Substitute x = 13 into either of the 2 equations and solve for y

Using (1), then

(9 × 13) + 10y = 297

117 + 10y = 297 ( subtract 117 from both sides )

10y = 280 ( divide both sides by 10 )

y = 28

Cost of a small box of candy = $13

Cost of a large box of candy = $28

5 0
3 years ago
Read 2 more answers
Please someone tell me the answers to these I dont remember how to do it ​
Delvig [45]

Answer:

1)  (3 - 6x)(-8) = (-8)(3) - (-8)(6x) = -24 - (-48x) = -24 + 48x = 48x - 24

2) (-12)(2x - 3) = (-12)(2x) - (-12)(3) = -24x - (-36) = -24x + 36 = 36 -  24x

3) (10 - 2x)9 = (9)(10) - (9)(2x) = 90 - 18x

4) (-5)(11x - 2) = (-5)(11x) - (-5)(2) = -55x - (-10) = -55x + 10 = 10 - 55x

5) (1 - 9x)(-10) = (-10)(1) - (-10)(9x) = -10 - (-90x) = -10 + 90x = 90x - 10

6) (-6)(x + 8) = (-6)(x) + (-6)(8) = -6x + (-48) = -6x - 48

7) (-4 + 3x)(-8) = (-8)(-4) + (-8)(3x) = 32 + (-24x) = 32 - 24x

8) (-5)(1 - 11x) = (-5)(1) - (-5)(11x) = -5 - (-55x) = -5 + 55x = 55x -5

9) (-12x + 14)(-5) = (-5)(-12x) + (-5)(14) = 60x + (-70) = 60x - 70

Step-by-step explanation:

The distributive property is a(b + c) = ab + ac

8 0
2 years ago
Solve the proportion for x.
BabaBlast [244]
The answer for the question is x=1
3 0
3 years ago
Bottles of a popular cola drink are supposed to contain 300 ml of cola. There is some variation from bottle to bottle because th
Ksju [112]

Answer:

We conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

Step-by-step explanation:

We are given that Bottles of a popular cola drink are supposed to contain 300 ml of cola. The distribution of the contents is normal with standard deviation of 3 ml.

A student who suspects that the bottler is under-filling measures the contents of six bottles. The results are: 299.4, 297.7, 301.0, 298.9, 300.2, 297.0

<u><em>Let </em></u>\mu<u><em> = mean contents of cola bottles.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq  300 ml   {means that the mean contents of cola bottles is more than or equal to the advertised 300 ml}

Alternate Hypothesis, H_A : \mu < 300 ml   {means that the mean contents of cola bottles is less than the advertised 300 ml}

The test statistics that will be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

                       T.S.  = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean contents of cola bottle = \frac{\sum X}{n} = 299.03 ml

            \sigma = population standard deviation = 3 ml

            n = sample of bottles = 6

So, <em><u>test statistics</u></em>  =  \frac{299.03-300}{\frac{3}{\sqrt{6} } }     

                               =  -0.792

<em>Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is more than the critical value of z as -0.792 > -1.6449, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

8 0
3 years ago
Help pls anyone? ty if u do :)
Schach [20]

Answer:

B. The division property of equality

Step-by-step explanation:

The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal. That is, if a, b, and c are real numbers such that a = b and c ≠0, then a c = a c. Therefore B is the right answer.

pls give brainliest for the answer

4 0
2 years ago
Read 2 more answers
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