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schepotkina [342]
3 years ago
9

5)Write an algebraic equation for each statement, and then SOLVE for x

Mathematics
1 answer:
Andrei [34K]3 years ago
8 0

Answer:

Step-by-step explanation:

1. x+6=14

  14-6=8

  x=8

2. 15/x=3

   15/3=x

   x=5

3. 7*x=56

   56/7=8

   x=8

4. x^2-4=12

  x=4, x=-4

5. 1/4x=10

  x/4 = 10

  x = 40

6. 3x-9=18

    x=9

7. 1/2x-10=14

   x/2-10=14

   x=48

8.x/8=9

   8*9=72

  x=72

9.2x+3=24

   2x=21

 x=21/2

10.20*x=140

   140/20=7

   x=7

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A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is
BigorU [14]

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

4 0
3 years ago
X/19 = 4 <br> what is x please help i don`t under stand this equation <br> p.s. xover 19 =4
ivann1987 [24]
The answer is 76 i think
8 0
3 years ago
Please help me understand this problem! I don’t understand the methods to understand how to solve it
Doss [256]

Answer:

Perimeter at the big rectangle is 156 cm.

Step-by-step explanation:

Let's see how to calculate it.

1. First of all you know that perimeter in the blue one is 20cm, so imagine this:

L (long side); S (short side)

2L + 2S =20

and we consider that L = 4S

So, solving the equation:

2.4S + 2S =20

10S=20

S=20/10

S=2

L=8

2. Side at the gold square is 8, the same at the long side in the blue rectangle. So, if you see on the right side in the big one, we got 2 + 8 + 8 + (?). Take a look to the green. Green square is the gold + a short piece and you can understand the short piece as 2 short sides from the blue. If we give numbers we have 8 + 2 + 2, 12.

Now, 2+8+8+12 = 30cm

3. Let's go to the long side in the big one.

We have long side from blue (8) and as you see, side at the orange square must be side at the yellow + short at the blue, so 8+2 =10. We have four oranges square so 10+10+10+10=40, and +8 =48

4. Now that we have the two sides in the big one, let's find the perimeter with the rectangle formula:

2L + 2S =P

2.48 + 2.30 = 156 cm.

7 0
3 years ago
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
Semenov [28]

Answer:

$8700

Step-by-step explanation:

Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.

Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.

Then add the two together like this: $7200+$1500= $8700.

4 0
2 years ago
Read 2 more answers
What are the awnsers<br><br> SHOW WORK!!<br> Please
rusak2 [61]

Answer:

Step-by-step explanation:
The rules For fractions: Multiple Denominator to Denominator and Numerator to numerator!

Ok: For number 1

3/5*1/1= 3/5

Number 2

3/4*9/4=27/16= 1 11/16

Number 3

14/21=2/3*33/7=66/21= 3 3/21= 3 1/7

Number 4

6/18*9/42= 1/3*3/14= 3/42= 1/14

Number 5

22/15*45/4= 33/2=16 1/2

Number 6

3/28* 35/6= 105/168= 5/8

Number 7

2/7*35/12=60/84=5/6

Number 8

16/15*21/24=16/15* 7/8=112/120=14/15

Hope It helps!!!!

7 0
1 year ago
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