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2 years ago

Work out the following, giving your answer in the simplest form A) 4/7 divided by 1 3/4

Mathematics

1 answer:

spayn [35]2 years ago

8 0

Answer:

The answer to your question is 16/49

Step-by-step explanation:

Data

4/7 ÷ 1 3/4

Process

1.- Convert the mixed fractions into improper fractions

1 3/4 = (4 + 3) / 4 = 7/4

2.- Divide

4/7 ÷ 7/4 = 16/49

3.- Simplify

I think it is not possible to simplify.

4.- Also we can solve this problem by converting the division into a multiplication, just invert the second fraction.

4/7 x 4/7 = 16/49

The result is the same.

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Let ff be the function that assigns to each student in the class her biological mother.

hoa [83]

Answer:

a) There cannot be sibling in the class.

b) This larger function would have an inverse only if there are no siblings studying in the same school.

Step-by-step explanation:

The inverse of a function f is a function g that "reverses" f. In other words, if the function f is applied to an x and it gives a result of y, then applying the function g to y gives the result of x. f(g(x)) = x.

For a function f to have an inverse, the function f has to give only one value y, when applied to an x.

a. In order for f to have an inverse, what condition must be true about students in the class?

So now, we have that f assigns each student in the class her biological mother.

Therefore, the set of X formed by the students in the class

And Y refers to their biological mother.

If we want f to have an inverse, then each mother should be assigned to only one student.

This means that the condition that must be true is that there cannot be brothers/sisters in the same class (for example, twins).

b. If we enlarged the domain to include all students in the school, would this larger domain function have an inverse.

Applying the same thinking, for f to have an inverse, every mom should be assigned to only one student.

Therefore, for this larger domain, there shouldn't be brothers/sisters studying in the same school.

8 0

2 years ago

PLEASEEEEE HELP ME IF YOU GET THIS QUESTION!!

EleoNora [17]

Answer:

one and a quarter mile

please can i have brainliest

5 0

2 years ago

What is the volume of a sphere with a diameter of 9.9 cm, rounded to the nearest

777dan777 [17]

Answer:

the volume of the sphere is 507.78981 cm^3

Step-by-step explanation:

The computation of the volume of the sphere is given below:

Given that

The Diameter is 9.9 cm

So, the volume of the sphere is

= 4 ÷ 3 ×π × r^3

= 4 ÷ 3 × 3.14 × 9.9 ÷ 2^3

= 4 ÷ 3 × 3.14 × 4.95^3

= 507.78981 cm^3

Here r denotes the radius

And, the radius would be comes by dividing the diameter from 2

Hence, the volume of the sphere is 507.78981 cm^3

6 0

2 years ago

The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal siz

9966 [12]

Answer:

$(a)\ Area = 3765.32$

$(b)\ Area = 4773$

Step-by-step explanation:

Given

$A_1 = 169in^2$ --- area of each square

$Shade = 4in$

See attachment for window

Solving (a): Area of the window

First, we calculate the dimension of each square

Let the length be L;

So:

$L^2 = A_1$

$L^2 = 169$

$L = \sqrt{169$

$L=13$

The length of two squares make up the radius of the semicircle.

So:

$r = 2 * L$

$r = 2*13$

$r = 26$

The window is made up of a larger square and a semi-circle

Next, calculate the area of the larger square.

16 small squares made up the larger square.

So, the area is:

$A_2 = 16 * 169$

$A_2 = 2704$

The area of the semicircle is:

$A_3 = \frac{\pi r^2}{2}$

$A_3 = \frac{3.14 * 26^2}{2}$

$A_3 = 1061.32$

So, the area of the window is:

$Area = A_2 + A_3$

$Area = 2704 + 1061.32$

$Area = 3765.32$

Solving (b): Area of the shade

The shade extends 4 inches beyond the window.

This means that;

The bottom length is now; Initial length + 8

And the height is: Initial height + 4

In (a), the length of each square is calculated as: 13in

4 squares make up the length and the height.

So, the new dimension is:

$Length = 4 * 13 + 8$

$Length = 60$

$Height = 4*13 + 4$

$Height = 56$

The area is:

$A_1 = 60 * 56 = 3360$

The radius of the semicircle becomes initial radius + 4

$r = 26 + 4 = 30$

The area is:

$A_2 = \frac{3.14 * 30^2}{2} = 1413$

The area of the shade is:

$Area = A_1 + A_2$

$Area = 3360 + 1413$

$Area = 4773$

7 0

2 years ago

This test is literally the death of me but can anyone help?

Neporo4naja [7]

Answer:

answer is b

Step-by-step explanation:

i hope this helps you

7 0

2 years ago

Read 2 more answers