MATHEMATICS HIGH SCHOOL

Which is the best estimate of
11 1/5 and 2 3/4

Answers

Answer 1
Answer:

I think your question lacks a little bit of information. After a little research, I am able to find that you probably wanted to say '11 1/5 divided by 2 3/4'.

Therefore, I am solving the question assuming that you want to say:

''What is the best estimate of 11 1/5 divided by 2 3/4''.

Answer:

The best estimate of  11 1/5 divided by 2 3/4 will be: 4

Step-by-step explanation:

Given the information

11 1/5 divided by 2 3/4

solving the expression

11(1)/(5)/ 2(3)/(4)

\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a(b)/(c)=(a\cdot \:c+b)/(c)

so

  • 11(1)/(5)=(11\cdot 5+1)/(5)=(56)/(5)
  • 2(3)/(4)=(2\cdot 4+3)/(4)=(11)/(4)

so the expression becomes

11(1)/(5)/ 2(3)/(4)\:=(56)/(5)/ \:(11)/(4)

                =(56)/(5)* (4)/(11)

                =(56* \:4)/(5* \:11)

               =(224)/(5* \:11)

               =(224)/(55)

                =4.07

                = 4       (Rounded to the nearest 1 orthe Ones Place)

Therefore, the best estimate of  11 1/5 divided by 2 3/4 will be: 4

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Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?A. 1/5 cup
B. 1/4 cup
C. 3/4 cup
D. 4/5 cup

Answers

Thank you for posting your question here at brainly. The cream will be 1/4 cup if the  milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat. I think its 1/4 because about 25% is fat and 25 x 4 = 100 assuming that the "100" is the cup. So 25% is 1/4 of the cup.

Answer:

Option B

Step-by-step explanation:

Given that milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup.

Let x cups of milk be mixed with 1 cup of cream

Total fat in the mixture = 0.02x+0.18

=6% of x+1 = 0.06(x+1)

i.e. 0.02x+0.18 =0.06x+0.06

0.04x = 0.12

x =3

So 3 cups of milk and 1 cup of cream would be mixed

Or B) 1/4 cup cream would be mixed

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? f(x) = (x3-3x+1)2

Answers

The Fundamental Theorem of Algebra says that every non-constant single-variable polynomial with complex coefficients has at least one complex root.

We will see that the polynomial has 6 roots.

Let's see how we get that answer:

The theorem means that even if we do not see the graph crossing the x-axis, there is still a root (a complex root).

Then the number of roots is just the same as the degree of the polynomial (such that there may be multiple roots in one given point).

The degree of the polynomial function:

p(x) = (x^3 - 3*x + 1)^2

is 6, so we have a total of 6 roots. (We only look at the larger exponent to find the degree of the polynomial).

If you want to learn more, you can read:

brainly.com/question/2770908

The fundamental theorem of the algebra, establishes that for any polynomial of degree n, the roots of the polynomial are also n roots.

Where n is an integer greater than zero.

We then have the following function:

We observe that the term of greatest exponent for the polynomial is:

Therefore, the polynomial has 6 roots.

Answer:

exist 6 roots for the polynomial function

What is the solution to the equation Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3))?

Answers

\text{Solve:}\n\n-(5-(a+1))=9-(5-(2a-3))\n\n-(5-a-1))=9-(5-2a+3))\n\n-(4-a)=9-(8-2a)\n\n-4+a=9-8+2a\n\n-4+a=1+2a\n\n\text{Subtract a from both sides}\n\n-4=1+a\n\n\text{Subtract 1 from both sides}\n\n\boxed{-5=a}

Answer:

The answer is A: a=-5

Step-by-step explanation:

took the test

Use a trigonometric ratio to find the value of x. round your answer to nearest tenth

Answers

x = base / tan(angle)

x = 9 / tan(20)

x = 24.73

rounded to nearest tenth x = 24.7

The value of x = 24.7

What is tangent angle?

For a right triangle, a tangent angle is,  tan\theta=(opposite ~ side)/(adjecent ~ side)

For given example,

Consider tan(20°)

Using the formula of tangent angle,

⇒ tan(20)=(9)/(x)

⇒ 0.364=(9)/(x)

⇒ x = 9/0.364

⇒ x = 24.7

Therefore, the value of x = 24.7

Learn more about tangent angle here:

brainly.com/question/19486069

#SPJ2

a six-foot-tall tent standing next to a cardboard box cast a nine foot Shadow if the cardboard box cast a shadow that is 6 foot long and how tall is it

Answers

I think it's 3 foot long but I'm not sure...

Answer: 9ft

Step-by-step explanation:

9 x 6 = 54 ÷ 6 = 9

What is an equation of the line that is perpendicular to y + 1 = -3(x - 5) and passes through the point (4, -6)?

Answers

Answer:

Option A.

Step-by-step explanation:

y + 1 = -3x + 15

y = -3x + 14

A line perpendicular would have a slope of 1/3.

y = 1/3x + c

-6 = 1/3 * 4 + c

4/3 + c = -6

c = -18/3 - 4/3

c = -22/3

So, we have y = 1/3x - 22/3.

y + 6 = 1/3(x - 4)

y + 6 = 1/3x - 4/3

y = 1/3x - 4/3 - 18/3

y = 1/3x - 22/3

So, the correct answer is Option A.

Hope this helps!

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