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Pepsi [2]
3 years ago
10

On a number​ line, A is at negative 7 and B is at 3. What is the coordinate of​ C, which is two fifths of the way from A to​ B?

Mathematics
1 answer:
svetoff [14.1K]3 years ago
6 0

well, 2/5 of the distance AB is simply their product, thus 2/5 of AB is just (2/5)AB.


\bf \stackrel{A}{-7}\stackrel{\textit{7 units}}{\rule[0.35em]{17em}{0.25pt}}0\stackrel{\textit{3 units}}{\rule[0.35em]{10em}{0.25pt}}\stackrel{B}{3}
\\\\\\
AB=7+3\implies AB=10~\hspace{7em}\cfrac{2}{5}AB\implies \cfrac{2}{5}(10)\implies 4
\\\\\\
-7\rule[0.35em]{2em}{0.25pt}-6\rule[0.35em]{2em}{0.25pt}-5\rule[0.35em]{2em}{0.25pt}-4\rule[0.35em]{2em}{0.25pt}\boxed{-3}

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2. The ratio of
denpristay [2]

Answer:

<h2>3500</h2>

Step-by-step explanation:

Given the  ratio of  the profit, cost of  materials and labour  in the production of

an article to be 5:7:13 respectively, total ratio = 5+7+13 = 25

If the cost of labour is x, the cost of material will be 840+x (since the  cost of materials is Le  840 more than that of  labour)  .

Let the total cost of producing the article be y.

Cost of labour = 13/25 * y = x

Cost of labour  = 13y/25 = x.................... 1

Cost of material = 7/25*y = 840+x

Cost of material = 7y/25 = 840+x ..................... 2

From 1, 13y = 25x

x = 13y/25 ................... 3

Substituting equation 3 into 2:

7y/25 = 840+x

7y/25 = 840+13y/25

collect the like terms:

7y/25 - 13y/25 = 840

-6y/25 = 840

-6y = 25*840

y = 25*840/6

y = 3,500

<em>Hence the total cost of producing the article is 3500</em>

4 0
3 years ago
Is Joan read 74 pages in 4 hours how long will it take her to read 240 pages
kogti [31]

Answer:

It will take her 13 hours


5 0
3 years ago
What is the solution to 89+k=-42
fiasKO [112]
Subtract 89 from -42. k=-131
6 0
2 years ago
Read 2 more answers
what is the y-intercept of the function, represented by the table of values below x= -2,1,2,4,7 y=15,6,3,-3,-12
Natali5045456 [20]

Answer: The y-intercept would be 10

Step-by-step explanation:

(-2, 15), (1, 6), (2, 3), (4, -3), (7, -12) are the coordinate points, you can graph it to find the intercept. I used the graphing calculator desmos.

4 0
3 years ago
Read 2 more answers
I need help lol. Find the lateral surface area of the figure to the nearest tenth.
Mekhanik [1.2K]

Answer:

101.9 sq ft

Step-by-step explanation:

The figure is missing: find it in attachment.

Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.

We have in total 5 faces:

- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is

A_1=8.5 \cdot 3.3 =28.1 ft^2

- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

A_2 = 3.3\cdot 5.1 =16.8 ft^2

- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

A_3 = 6.8\cdot 3.3 =22.4 ft^2

- Finally, we have 2 triangular faces (top and bottom), so their area is

A_T=\frac{1}{2}bh

where

b = 5.1 ft is the base

h = 6.8 ft is the height (because the triangle is a right triangle)

So the area of the triangle is

A_T=\frac{1}{2}(5.1)(6.8)=17.3 ft^2

So the total lateral surface area of the figure is:

A=A_1+A_2+A_3+2A_T=28.1+16.8+22.4+2(17.3)=101.9 ft^2

5 0
3 years ago
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