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3 years ago

What is the value of x?

Mathematics

1 answer:

castortr0y [4]3 years ago

5 0

6 I think don’t know

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A soccer player runs a total of 12 miles during a 4 hour game. What is the unit rate?

VARVARA [1.3K]

Answer:

Step-by-step explanation:

12 divited by 4 =3

6 0

3 years ago

4,11,18 what is the 109th value of this sequence ?

kompoz [17]

Answer:

109th value is 760

Step-by-step explanation:

the nth term rule is 7n-3

7×109=763

763-3=760

5 0

3 years ago

41. Assuming that a man can complete the work alone in x days, his work in four days would be: a) b) X X C d) 4x x 42. If a man

Schach [20]

Percentage and ratio word problems require understanding of the relationship between variables from which the question is formed

The options that give the correct values of the duration of the work are;

$41. \ c) \ \dfrac{4}{x}$

$42. \ d) \ \dfrac{4}{x} + \dfrac{6}{y} = \dfrac{1}{5}$

43. a) 35 days

44. c) 21·a + 28·b = 1

45. c) (42, 56)

Reasons:

41. Number of days it takes a man to complete the work alone = x days

Therefore;

$The \ work \ done \ by \ the \ man \ in \ one \ day = \dfrac{1}{x}$

$The \ work \ done \ in \ four \ days \ by\ the \ man = 4 \times \dfrac{1}{x} = \dfrac{4}{x}$

The correct option is $c) \ \dfrac{4}{x}$

42. Number of days it takes a man to complete the work alone = x days

$Work \ done \ by \ a\ man \ in \ one \ day = \dfrac{1}{x}$

$Work \ done \ by \ four \ men \ in \ one \ day = \dfrac{4}{x}$

Number of days it takes a boy to complete the work alone = y days

$Work \ done \ by \ a \ boy \ in \ one \ day = \dfrac{1}{x}$

$Work \ done \ by \ six \ boys \ in \ one \ day = \dfrac{6}{y}$

4 men and 6 boys work for 5 days to complete the work

Therefore, work done by 4 men and 6 boys in 1 day is therefore;

$\dfrac{4}{x} + \dfrac{6}{y} = \dfrac{1}{5}$

The correct option is therefore;

$d) \ \dfrac{4}{x} + \dfrac{6}{y} = \dfrac{1}{5}$

43. As per the case study, we have;

Case 1

$\dfrac{4}{x} + \dfrac{6}{y} = \dfrac{1}{5}$

Which gives;

$\dfrac{6\cdot x + 4\cdot y}{y \cdot x} = \dfrac{1}{5}$

30·x + 20·y = y·x

Case 2

$\dfrac{3}{x} + \dfrac{4}{y} = \dfrac{1}{7}$

Which gives;

$\dfrac{4\cdot x + 3\cdot y}{y \cdot x} = \dfrac{1}{7}$

28·x + 21·y = y·x

Therefore;

30·x + 20·y = 28·x + 21·y

∴ 2·x = y

Plugging in the value of y = 2·x, in Case 1 gives;

$\dfrac{4}{x} + \dfrac{6}{2 \cdot x} = \dfrac{1}{5}$

$\dfrac{2 \times 4 + 6}{2 \times x} = \dfrac{14}{2 \times x} =\dfrac{7}{x} = \dfrac{1}{5}$

7 × 5 = x

x = 7 × 5 = 35

The number of days, x, it takes a man to complete the work alone, is given by option; a) 35 days

44. For the equation $\dfrac{3}{x} + \dfrac{4}{y} = \dfrac{1}{7}$ , if $a = \dfrac{1}{x}$ , and $b = \dfrac{1}{y}$ , we have;

$3 \cdot a+ 4\cdot y = \dfrac{1}{7}$

21·a + 28·y = 1

The correct option is option C. 21·a + 28·b = 1

45. A solution to the equation $\dfrac{3}{x} + \dfrac{4}{y} = \dfrac{1}{7}$ , is given by the values of x, and y, that gives;

$\dfrac{1}{14} + \dfrac{1}{14} = \dfrac{1}{7}$

We have;

3 × 14 = 42

4 × 14 = 56

Therefore, a solution to the equation is (42, 56)

The correct option is $c) \ \underline{ (42, \ 56)}$

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3 0

2 years ago

Please help with the question below!

maks197457 [2]

(answer in big text in the end :D )

1. Calculate the SA of all the sides...

There are 5 sides in this shape. 2 sides are Triangles, and 3 are rectangles. Let's call the rectangle on the base, base rectangle, let's call the large rectangle on the right, right rectangle, and the left on on the side, left rectangle. Just so that we can identify them...

Now, first, we will calculate the Triangular parts' surface area. There is a tip in this, as we know, to calculate the area of 1 triangle, we have to use this formula... $SA=\frac{1}{2} *B*H$ BUT! that's only for calculating 1 triangle, not 2, but we have 2 here, to use this shortcut, we will just do BxH not 1/2xBxH

Let's do it!

Base of triangle: 9.8ft

Height of triangle: 5.33ft

Now, we have to multiply these

9.8x5.33=52.234

Rounding to the nearest tenth... 52.2

Then, let's do the base rectangle

Length of rectangle: 9.8ft

Width of rectangle: 3.8ft

Now, multiply!

9.8x3.8=37.24

Rounding to the nearest tenth... 37.2

Now, let's do the Right Rectangle

Dimensions:

Length of rectangle: 8.5ft

Width of rectangle: 3.8ft

multiply...

8.5x3.8=32.3

no rounding in this, it's already rounded to the nearest tenth

Now, let's do the left rectangle...

Dimensions:

Length of rectangle: 6.2ft

Width of rectangle: 3.8ft

6.2x3.8=23.56

Rounded to nearest tenth... 23.6

2. Now that we have gotten the SA's of all of the shapes in this triangular prism, let's ADD them together to get our FINAL answer.

All the answers are: 52.2, 37.2, 32.3, and 23.6

<h2>adding them, our answer is: 145.3ft²</h2>

8 0

2 years ago

Read 2 more answers

This is the graph of f(x). what is the value of f(2)?

Vlada [557]

Answer:

its C.

Step-by-step explanation:

lol i just did this

8 0

3 years ago

Read 2 more answers