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bixtya [17]
3 years ago
9

Does x-4=5 has one solution

Mathematics
2 answers:
Irina18 [472]3 years ago
8 0
Hi there! If you add 4 to both sides, x-4+4=5+4 which gets us 9. Therefore, x-4=5 does have a solution. The solution is 9.
AfilCa [17]3 years ago
7 0
Yes, if you do it correctly by following the Algebraic way you would get:

x-4=5 
you need to find x.
you can do this by subtracting 4 from the x side and adding it to 5.
so it would be x= 5+4
then you jsut add 5 and 4 and you get x.
so x = 9.
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When 17 is divided by K ; where k is a positive integer less than 17 the remainder is 3 .What is the remainder when the sum of t
FinnZ [79.3K]

Answer:

The remainder is 4.

Step-by-step explanation:

Note: This question is not correctly stated. It is therefore correctly restated before answering the question as follows:

When 17 is divided by k; where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17?

The explanation of the answer is now given as follows:

Since k < 17, it implies that the possible values of k must be from between 1 and 16 inclusive.

Between 1 and 16, only 7 or 14 will give a remainder of 3 when either of them is used to divide 17. Therefore, 7 and 14 are the possible values of k.

Therefore, we have:

Sum of the possible values of k = 7 + 14 = 21

Also, we have:

Sum of the possible values of k divided by 17 = 21 / 17 = 1 with a remainder of 4.

Therefore, the remainder is 4 when the sum of the possible values of k is divided by 17.

8 0
3 years ago
Can u help me with my homework please it is a little bit harder then I thought
Sindrei [870]

The distance around the pool is 43.96 m.

Solution:

The distance across the circle is <em>diameter</em>.

The distance around the circle is <em>circumference</em>.

The value of π = 3.14

Diameter of the circle = 14 m

Circumference of the circle = πd

                                              = 3.14 × 14 m

Circumference of the circle = 43.96 m

The distance around the pool is 43.96 m.

7 0
3 years ago
Angela earns x dollars an hour. On Friday, she worked 6 hours. On Saturday, she worked 8 hours. Which expression shows how much
makkiz [27]
Each hour she works, she earns x dollars.

The first day, she worked 6 hours, so she'd earn 6x dollars.
The second day, she worked 8, so she'd earn 8x.
Together, she'd have earned 6x+8x dollars.
 You could add the number of hours she worked first and then multiply by x to get the same result. This would look like (6+8)x.
8 0
3 years ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviat
nexus9112 [7]

Answer:

Two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.

Step-by-step explanation:

We are given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviation of 0.07 millimeters.

<em>Let X = diameters of bolts produced in a machine shop</em>

So, X ~ N(\mu=5.65,\sigma^{2} = 0.07^{2})

The z score probability distribution is given by;

         Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean

            \sigma = standard deviation

<u>Now, we have to find the two diameters that separate the top 4% and the bottom 4%.</u>

  • Firstly, Probability that the diameter separate the top 4% is given by;

        P(X > x) = 0.04

        P( \frac{X-\mu}{\sigma} > \frac{x-5.65}{0.07} ) = 0.04

        P(Z > \frac{x-5.65}{0.07} ) = 0.04

<em>So, the critical value of x in z table which separate the top 4% is given as 1.7507, which means;</em>

                 \frac{x-5.65}{0.07}  = 1.7507

              x-5.65 = 0.07 \times 1.7507

                         x = 5.65 + 0.122549 = 5.77

  • Secondly, Probability that the diameter separate the bottom 4% is given by;

        P(X < x) = 0.04

        P( \frac{X-\mu}{\sigma} < \frac{x-5.65}{0.07} ) = 0.04

        P(Z < \frac{x-5.65}{0.07} ) = 0.04

<em>So, the critical value of x in z table which separate the bottom 4% is given as -1.7507, which means;</em>

                 \frac{x-5.65}{0.07}  = -1.7507

              x-5.65 = 0.07 \times (-1.7507)

                         x = 5.65 - 0.122549 = 5.53

Therefore, the two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.

4 0
3 years ago
What is an equation for the line perpendicular to y = 3x - 1 that passes through (-9, -2)?
oksano4ka [1.4K]

Answer:

y = -1/3x - 5

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes, so the line is:

y = -1/3x + b

Finding the value of b, using the given point (-9, -2)

-2 = -1/3*(-9) + b

-2 = 3 + b

b = -2 - 3

b = -5

The line is

y = -1/3x - 5

Hopefully, this helps!

7 0
2 years ago
Read 2 more answers
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