Is the number -14 irrational ?

Answer:

[tex]y = - 9x \\ theny = 2x + 33 \\ - 9x = 2x + 33 \\ - 9x - 2x = 33 \\ - 11x = 33 \\ x = \frac{ - 33}{11} = - 3 \\ x = - 3 \\

then\\ y=-9×-3=21\\ thank \: you[/tex]

Answer:36 hours

Step-by-step explanation:

[tex]\dfrac{1}{2}:8=\dfrac{1}{2}\cdot\dfrac{1}{8}=\dfrac{1\cdot1}{2\cdot6}=\dfrac{1}{16}[/tex]

Answer:

78

Step-by-step explanation:show your work

Answer:

Sara has enough money to buy all three items because after the sale and tax, the total of all three items is less than $100 at only $93.01.

Step-by-step explanation:

Solve for the sale:

43.98 × 0.25

10.995

38.59 × 0.25

9.6475

31.99 × 0.25

7.9975

Add these all together:

10.995 + 9.6475 + 7.9975

28.64

Subtract this amount from the original cost of all the items:

(43.98 + 38.59 + 31.99) - 28.64

114.56 - 28.64

85.92

Solve for the sales tax:

85.92 × 0.0825

7.0884

Add the sales tax to the total:

85.92 + 7.0884

93.0084

Round up to the nearest cent:

93.01

93.01 < 100

Answer:

29

Step-by-step explanation:

[tex]50 + ( - 16) - 5[/tex]

[tex]50 - 16 - 5[/tex]

[tex]50 - 21[/tex]

[tex]\boxed{\green{ = 29}}[/tex]

Answer:

The answer is 29.

Answer:

4099973

Step-by-step explanation:

I hope this is correct! :)

Sorry if I'm wrong...

Approximately 4,100,938 men in the U.S. didn't complete 9th grade. To find out how many men in the U.S. didn't complete 9th grade, we can use the percentage given and calculate it as follows: Number of men who didn't complete 9th grade = (Percentage of men who didn't complete 9th grade / 100) * Total number of men in the U.S.

Given:

Percentage of men who didn't complete 9th grade = 3.38%

Total number of men in the U.S. = 121,301,000

Let's calculate:

Number of men who didn't complete 9th grade = (3.38 / 100) * 121,301,000

Number of men who didn't complete 9th grade ≈ 4,100,938

So, approximately 4,100,938 men in the U.S. didn't complete 9th grade.

To know more about grade:

https://brainly.com/question/15160328

#SPJ3

Answer:

6) F

7) B

Step-by-step explanation:

6)

[tex]\boxed{perimeter \: of \: rectangle = 2(length + breadth)}[/tex]

60= 2[½(n -6) +2n +5]

Expand:

60= 2(½)(n -6) +2(2n) +2(5)

60= n -6 +4n +10

Simplify:

60= 5n +4

Minus 4 on both sides:

5n= 60 -4

5n= 56

Divide both sides by 5:

n= 56 ÷5

n= 11.2

Thus, option F is correct.

7)

[tex]\boxed{area \: of \: rectangle = length \: \times breadth}[/tex]

13q +2= 9(q +6)

Expand:

13q +2= 9q +54

Bring q terms to one side, constant to the other:

13q -9q= 54 -2

Simplify:

4q= 52

Divide both sides by 4:

q= 52 ÷4

q= 13

Thus, option B is correct.

Answer:

3/5

Step-by-step explanation:

1.) Find the Greatest Common Factor of 6/10.

2

2.) Divide both the numerator and the denominator by the greatest common factor.

6÷2

10÷2

3.) Simplify 6÷2/10÷2

3/5

Answer:

[tex]38[/tex] and [tex]68[/tex].

Step-by-step explanation:

Let [tex]x[/tex] be the smaller one of the two number.

[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].

The question states that the product of the two numbers is [tex]2584[/tex]. In other words:

[tex]x\, (x + 30) = 2584[/tex].

Rearrange this equation and solve for [tex]x[/tex]:

[tex]x^{2} + 30\, x - 2584 = 0[/tex].

The first root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].

Similarly, the second root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].

Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.

Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].

9514 1404 393

Answer:

  38 and 68

Step-by-step explanation:

Let x represent the average of the two numbers. Then their product is ...

  (x -15)(x +15) = 2584

  x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2

  x = √2809 = 53

Then the two numbers are ...

  53 +15 = 68

and

  68 -30 = 38

The two numbers are 38 and 68.

_____

Additional comment

Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.

Answer:

1st box: 1

2nd box: 1

Step-by-step explanation:

1: 3 * 7 = 21, so only put the 1 and carry the 2.

2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.

I hope this helps :)

Answer:

Step-by-step explanation:

Please see the picture below

Answer:

It is -80

Step-by-step explanation:

u just subtract

Answer:

Step-by-step explanation:

i dont know  but work hard

Answer:

12

Step-by-step explanation:

Substitute -18 into the equation

h(-18) = 15 +(-18)/6

h(-18)= 15 + (-2)

h(-18)= 15-2

h(18)=12

12 is the final answer

[tex]\\ \sf\longmapsto h(-18)[/tex]

[tex]\\ \sf\longmapsto 15+\dfrac{-18}{6}[/tex]

[tex]\\ \sf\longmapsto 15+(-3)[/tex]

[tex]\\ \sf\longmapsto 15-3[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

Answer:

3rd, y=-1/5x

Step-by-step explanation:

Answer:

7.9000 × [tex]10^{-4}[/tex]

Step-by-step explanation:

0.0014 - 0.00061 = 0.00079

0.00079 in scientific notation = 7.9000×10^-4

Answer:

6

Step-by-step explanation:

2+4=6

(1+1)+(1+1+1+1)=6

Ans: 6

9514 1404 393

Answer:

  7/8 in  (you are correct)

Step-by-step explanation:

The amount of nail that goes into the framing member is ...

  1 3/4 -3/8 -1/2

  = 1 6/8 -3/8 -4/8

  = 1 -1/8 = 7/8 . . . . inches

Answer:

Step-by-step explanation:

it apperes to me that all are rational numbers

Hope this helps

Answer:

0

Step-by-step explanation:

You can't divide anything by zero

0÷0=

=0

nfhfjfjfjfuvjgjgkfkfkfjfjgjgjgjgjgkgkgkgk

Answer:

0.14

Answer:

x < 3

Step-by-step explanation:

First add:

4x - 1 < 11

     +1   +1

---------------

   4x < 12

Divide:

4x < 12

----   -----

4       4

  x < 3

Hope this helped.

9514 1404 393

Answer:

  no

Step-by-step explanation:

For the perimeter to be the same, the sum of side lengths must be the same. That does not mean the side lengths themselves must be the same.

A 4×4 rectangle (square) and a 5×3 rectangle have the same perimeter, but are not congruent.

Answer:

55

Step-by-step explanation:

20 * 3 = 60

60 marks - 5 Incorrect answer (5 marks deducted)

55 Marks

Answer:

because P(x) has factors of (x-2) and (x+1) => x = 2 and x = -1 are the solutions of P(x)

so we have:

[tex]\left \{ {{2^{4}+2^{3}a-2^{2}+2b-12 =0} \atop {1-a-1-b-12=0}} \right.\\=>\left \{ {{8a+2b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{4a+b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{a=4} \atop {b=-16}} \right.[/tex]

=> [tex]P(x)=x^{4} + 4x^{3}-x^{2} -16x-12[/tex]

With P(x) = 0

=> [tex]x^{4}+4x^{3}-x^{2} -16x-12 = 0[/tex]

=> ........

Step-by-step explanation:

Answer:

Step-by-step explanation: