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3 years ago

11 pounds 13 ounces = ounces

1 answer:

6 0

1 pound = 16 ounces so let's go ahead and convert 11 pounds to ounces by multiplying by 16. 11×16=176 and then add 13 to that 176+13=189

so 12 pounds and 13 ounces= 189 ounces

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Alica bought 5.75 yards of fleece fabric to make blankets for a charity. She needs 1.85 yards of fabric for each blanket . How m

mote1985 [20]

Answer:

Step-by-step explanation:

5.75 = 1.85x

divide both sides by 1.85

x= 3.108

because you cant make .108 of a blanket we will round to 3

8 0

4 years ago

The graph represents the function (check picture)

Taya2010 [7]

Answer:

a = 1 and b = -12

Step-by-step explanation:

* Lets look to the graph to solve the problem

- f(x) is a rational function with:

# numerator ⇒ x² - 4x + 3

# denominator ⇒ x² + ax + b

- To find the values of a and b lets use the hole and the vertical

asymptote in the graph of the function

∵ There is a hole at x = 3

- The hole appears when the numerator and the denominator have

a common factor

∵ x = 3 ⇒ subtract 3 from both sides

∴ x - 3 = 0

∴ The numerator and the denominator have a factor (x - 3)

- The vertical asymptotes appear at the zeros of the denominator

that means the values of x when the denominator = 0

∵ There is a vertical asymptote at x = -4

∵ x = -4 ⇒ add 4 for both sides

∴ x + 4 = 0

∴ The denominator has another factor (x + 4)

- The denominator x² + ax + b has two factors (x - 3) and (x + 4) lets

multiply them to find the value of a and b

∵ (x - 3)(x + 4) = (x)(x) + (x)(4) + (-3)(x) +(-3)(4)

∴ (x - 3)(x + 4) = x² + 4x - 3x - 12 = x² + x - 12

∴ x² + ax + b = x² + x - 12

- By comparing the two sides

∴ a = 1 and b = -12

8 0

3 years ago

The red shape has been translated into the blue shape. The translation is

MAXImum [283]

Answer is (A). (X’ , Y’) = (x, y-6)

7 0

3 years ago

The number of bacteria in a certain culture doubled every hour. If there were 30 bacteria present in the culture initially, how

vichka [17]

Answer:

The number of bacteria after $8th$ will be $3840$

Step-by-step explanation:

Given the initially 30 bacteria present in the culture.

Also, the number of bacteria got doubled every hour.

So, using the equation

$A=A_0r^{n-1}$

Where $A$ is number of bacteria after $n$ hours.

$A_0$ is bacteria present initially.

$r$ is the common ration, in our problem it is given that bacteria doubles every hour. So, $r=2$

And $n$ is the number of hours. In our problem we need amount of bacteria at the end of $8th$ hours. So, $n=8$

Plugging values in the formula we get,

$A=30(2)^{8-1}\\A=30\times 2^7\\A=30\times 128\\A=3840$

So, number of bacteria after $8th$ will be $3840$

3 0

3 years ago

PLEASE HELP ME!!! I WILL GIVE ALL THESE POINTS

WINSTONCH [101]

<h2>Answer and Explanation to questions 13,14,15</h2>

13) $\mathbf{\overline{XY}\cong\overline{CD}}$ as given in the question.

14) $\mathbf{\overline{XY}\cong\overline{YZ}}$ Since Y is the midpoint of XZ. So, Y will divide XZ in equal halves into XY and YZ.

15) $\mathbf{\overline{CD}\cong\overline{YZ}}$

$\because\overline{\textrm{XY}}\cong\overline{\textrm{CD}}$ and $\overline{\textrm{XY}}\cong\overline{\textrm{YZ}}$ . So, $\overline{\textrm{CD}}\cong\overline{\textrm{YZ}}$

<h2>Answer and Explanation to questions 16,17,18</h2>

∠3 is supplementary to ∠1 means: ∠3 + ∠1 = 180°

And, according to figure ∠1 + ∠2 = 180° as ∠1 and ∠2 form a straight line.

∠3 + ∠1 = 180° .............(i)

∠1 + ∠2 = 180° .............(ii)

subtracting equation (i) and (ii) will give ∠3 = ∠2 ..........(iii)

15) ∠3 is supplementary to ∠1 as given in the question

16) ∠2 is supplementary to ∠1 as shown be equation (ii)

18) ∠3 ≅ ∠2 as shown by equation (iii)

<h2>Answer and Explanation to questions 19</h2>

∠3 and ∠4 form a straight line. Therefore, ∠3 + ∠4 = 180° .......(i)

∠4 and ∠5 form a straight line. Therefore, ∠4 + ∠5 = 180° .......(ii)

subtracting equation (i) and (ii)

∠3 + ∠4 - (∠4 + ∠5) = 180°-(180°)

∠3 + ∠4 - ∠4 - ∠5 = 180°-180°

∠3 - ∠5 = 0

∴ ∠3 = ∠5 (Hence Proved)

4 0

3 years ago