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Gnom [1K]
3 years ago
9

Please help, and provide explanation thanks.

Mathematics
1 answer:
MAVERICK [17]3 years ago
5 0
So youd need to factor the quadratic first.

{x}^{2}  + 5x - 6
(x + 6)(x - 1)
now set each factor equal to zero and solve for X.

x+6=0
x=-6

x-1=0
x=1

so the roots of the quadratic are x=-6 and 1
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Jana paid $7.25 for 5 packs of markers. Each pack costs the same amount. How much did each pack of markers cost? Show your work
icang [17]

Answer:

$1.45

Step-by-step explanation:

7.25 divided by the 5 packs

7.25/5= $1.45 a pack

6 0
3 years ago
20 is about what percent of 52
Pavlova-9 [17]

Answer:

To get the solution, we are looking for, we need to point out what we know.  

1. We assume, that the number 52 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 52 is 100%, so we can write it down as 52=100%.  

4. We know, that x is 20% of the output value, so we can write it down as x=20%.  

5. Now we have two simple equations:

1) 52=100%

2) x=20%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

52/x=100%/20%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 20% of 52

52/x=100/20

(52/x)*x=(100/20)*x       - we multiply both sides of the equation by x

52=5*x       - we divide both sides of the equation by (5) to get x

52/5=x  

10.4=x  

x=10.4

now we have:  

20% of 52=10.4

Step-by-step explanation:

4 0
3 years ago
4. Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean
Karo-lina-s [1.5K]

Answer:

Yes, Tom must be admitted to this university.

Step-by-step explanation:

We are given that the scores on national test are normally distributed with a mean of 500 and a standard deviation of 100.

Also, we are provided with the condition that Tom wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test.

Let, X = score in national test, so X ~ N(\mu=500 , \sigma^{2} = 100^{2})

The standard normal z distribution is given by;

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

Now, z score of probability that tom scores 585 is;

             Z = \frac{585-500}{100} = 0.85

Now, proportion of students scoring below 85% marks is given by;

P(Z < 0.85) = 0.80234

This shows that Tom scored 80.23% of the students who took test while he just have to score more than 70%.

So, it means that Tom must be admitted to this university.

                                                  

4 0
4 years ago
The longest side in a right triangle is 24 cm, and the second longest side is 20 cm. Find the length of the shortest side.
Alex Ar [27]

Answer:

13.27 cm

Step-by-step explanation:

The hypotenuse is always the longest side so:

a^2 + 20^2 = 24^2

a^2 + 400 = 576

a^2 = 176

a = 13.27

7 0
3 years ago
Find the values of x that satisfy
mr_godi [17]
Setup 2 problems
2x - 7 < 15   and    2x - 7 > -15
2x < 22                  2x > -8
x < 11                    x > -4

Or you can write it  -4 < x < 11

7 0
3 years ago
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