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viktelen [127]
3 years ago
13

2/3x + 2= 21/3 solve for x a. 0 b. 1/2 c -2 d. 2

Mathematics
1 answer:
Helen [10]3 years ago
8 0

Answer:

x = 7.5

Step-by-step explanation:

2/3x + 2= 21/3

Subtract 2 from each side

2/3x + 2-2= 21/3-2

2/3x = 21/3 - 6/3

2/3x =15/3

2/3x = 5

Multiply each side by 3/2 to isolate x

2/3x * 3/2 = 5 *3/2

x = 15/2

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X to the 3rd power= 64/343
leva [86]

Answer:

x = 4/7

Step-by-step explanation:

x^3 = 64/ 343 // - 64/ 343

x^3 - ( 64/ 343 ) = 0

x^3 - 64 / 343 = 0

1*x^3 = 64/ 343 // : 1

x^3 = 64/ 343

x^3 = 64/ 343 // ^ 1/3

x = 4/ 7

5 0
2 years ago
Nancy has 100 candy bars. She ate 47 of them in one day. Then she gave 12 of them to her friend David . How much does she have n
Pavel [41]

Answer:

41 Candy Bars

Step-by-step explanation:

She first has 100 candy bars. If she ate 47, she will have 53. If she gives away 12 after, she would have 41.

4 0
3 years ago
Read 2 more answers
Write the standard equation of the circle with the given Center and radius:
Kipish [7]

9514 1404 393

Answer:

  B.  (x +4)² +(y +5)² = 64

Step-by-step explanation:

The equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Filling in your given values, you have ...

  (x -(-4))² +(y -(-5))² = 8²

Simplifying, you get ...

  (x +4)² +(y +5)² = 64 . . . . . . . matches choice B

_____

<em>Additional comment</em>

As you learn more different "standard form" equations, it may be helpful to keep a list, along with reminders of what the variables stand for and how the equation is used.

5 0
2 years ago
The mean SAT score in mathematics, M, is 600. The standard deviation of these scores is 48. A special preparation course claims
kupik [55]

Answer:

Step-by-step explanation:

The mean SAT score is \mu=600, we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it \sigma) is

\sigma=48

Next they draw a random sample of n=70 students, and they got a mean score (denoted by \bar x) of \bar x=613

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis H_0:\bar x \geq \mu

- The alternative would be then the opposite H_0:\bar x < \mu

The test statistic for this type of test takes the form

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\

<h3>since 2.266>1.645 we  can reject the null hypothesis.</h3>
6 0
3 years ago
Read 2 more answers
Question 1 (1 point)
olga55 [171]

Answer:

1) 2y^{2}+4y-9

2) 18x^{5}y^{4}z

3) 6x^{5}-12x^{4}+9x^{3}

4) 40

5) x^{3}-7x^{2}+3x+36


Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

(y^{2}-3y-5)-(-y^{2}-7y+4)=y^{2}-3y-5+y^{2}+7y-4=2y^{2}+4y-9

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

(6xy^{3}z)(3x^{2}yx^{2})=18x^{5}y^{4}z

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

-3x^{3}(-2x^{2}+4x-3)=6x^{5}-12x^{4}+9x^{3}

4) (4a+5)^{2} is a square of a sum, then, by definition you have:

(a+b)^{2}=a^{2}+2ab+b^{2}

Then:

(4a+5)^{2}=(4a)^{2}+2(4a)(5)+5^{2}=16a^{2}+40a+25

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40

5)  Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

(x-4)(x^{2}-3x-9)=x^{3}-3x^{2}-9x-4x^{2}+12x+36=x^{3}-7x^{2}+3x+36

6 0
3 years ago
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