Hazel knits 5 centimeters of scarf each
night. After 5 nights of knitting, how many
centimeters of scarf will Hazel have knit in
total?
centimeters
Submit

Answer:

It is -80

Step-by-step explanation:

u just subtract

Answer:

x = 20

y = 26

Step-by-step explanation:

40 and 2x are vertical angles, so they're equal to each other.

40 = 2x

Divide both sides by 2

x = 20

We see that 40 and 5y + 10 are a linear pair, which means they add up to 180.

5y + 10 + 40 = 180

5y + 50 = 180

5y = 130

y = 26

Answer:

[tex] \frac{6}{7} [/tex]

Step-by-step explanation:

[tex] \frac{5}{7} - ( - \frac{1}{7} )[/tex]

[tex] \frac{5}{7} + \frac{1}{7} [/tex]

[tex] = \frac{6}{7} [/tex]

Answer:

9 minutes

Step-by-step explanation:

We can write a proportion to solve

5 gallons     15 gallons

-------------- = ---------------

3 minutes         x minutes

Using cross products

5x = 3*15

5x = 45

Divide by 5

5x/5 = 45/5

x = 9

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:

Step-by-step explanation:

i dont know  but work hard

Answer:

yes figures have the same perimeter

Step-by-step explanation:

The opposite sides of the rectangle are equal , then

perimeter = 2(x + 4) + 2x = 2x + 8 + 2x = 4x + 8

The square has 4 equal sides , then

perimeter = 4(x + 2) = 4x + 8

Then the figures have the same perimeter

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Answer:

0.14

Answer:

78

Step-by-step explanation:show your work

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:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

1523797

Step-by-step explanation:

Have a good day, hope I helped

Answer:

1,523,797

Step-by-step explanation:

734,839 + 788,958

= 1,523,797

Answer:

55

Step-by-step explanation:

20 * 3 = 60

60 marks - 5 Incorrect answer (5 marks deducted)

55 Marks

Answer:

2W + 56 = 78 , W = 10

Step-by-step explanation:

perimeter of rectangle = 2*the Length + 2*the Width

Answer:

B. Because statistics can be applied to every field of study

Answer:

Step-by-step explanation:

Please see the picture below

Answer:

0

Step-by-step explanation:

You can't divide anything by zero

0÷0=

=0

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: Prime

A polynomial is  prime    if its only factors over the integers are 1 and itself.

==============================================================

Explanation:

Think of the idea of factoring whole numbers like factoring 36 into 6*6 which further breaks down into (2*3)*(2*3) = 2^2*3^2. This shows that 36 is composite and not prime.

Something like 7 is prime because the only factors are 1 and itself.

This idea extends into polynomials as well.

Something like x^2+4x+4 factors to (x+2)(x+2) which shows it is not prime. On the other hand, the polynomial x^2+3x+5 is prime over the integers because we cannot factor it like the previous example. The only factors here are 1 and itself.

Factoring is handy to help determine roots of a polynomial. However, other tricks could be used such as the quadratic formula or using numerical approximation techniques.

Answer:

2400.036 or 4.875 × 10^5

Step-by-step explanation:

Answer:

Answer:

6

Step-by-step explanation:

2+4=6

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

Ans: 6

Answer:

Step-by-step explanation:

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:

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

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