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3 years ago

There are 4 triangles and 16 squares.what is the simplest ratio of triangles to square

1 answer:

5 0

1:4
The ratio of triangles to squares is 4:16 unsimplified because there are 4 triangles and 16 squares. To simplify the ratio, think of it as a fraction:
4/16
The fraction can be simplified to 1/4, meaning that the simplest ratio is 1:4.

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QUESTION 2. the feasible region shows the number of chairs x and tables y that a furniture company can build each week.

GalinKa [24]

Answer:

Part a) The company can not build 12 chairs and 5 tables

Part b) The company can build 18 chairs and 3 tables

Part c) The company can build 12,13,14,15,16 or 17 chairs

Step-by-step explanation:

we know that

If a ordered pair is a solution, then the ordered pair must be belong to the feasible region of the graph

Part a) Can the company build 12 chairs and 5 tables?

In this problem we have the ordered pair A(12,5)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point A is not on the feasible region

therefore

The company can not build 12 chairs and 5 tables

Part b) Can the company build 18 chairs and 3 tables?

In this problem we have the ordered pair B(18,3)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point B is on the feasible region

therefore

The company can build 18 chairs and 3 tables

Part c) One week, the company decides to build 4 tables. how many chairs can the company build?

For y=4

Find the value of x in the graph

The solutions point for y=4 tables are

(12,4), (13,4),(14,4),(15,4),(16,4) and (17,4)

therefore

The company can build 12,13,14,15,16 or 17 chairs

3 0

3 years ago

He volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width.

MrMuchimi

Answer: the height of the prism is 14 cm.

Step-by-step explanation:

The formula for determining the volume of a rectangular prism is expressed as

Volume = length × height × width

Volume = LWH

The length of the prism is 3 times the width. It means that

L = 3W

The height is twice the width. This means that

H = 2W

Therefore,

Volume = 3W × × W × 2W = 6W³

The volume of a rectangular prism is 2,058 cubic cm. This means that

2058 = 6W³

Dividing through by 6, it becomes

343 = W³

W = 7

Therefore, the height of the prism would be

H = 2W = 2 × 7

H = 14 cm

3 0

3 years ago

Anyone know the answer to this algebra question?

lana [24]

Answer:

possibly the third maybe

4 0

3 years ago

Solve: x + y = 7 3x - 2y = 11 By using Substituting method.

Salsk061 [2.6K]

$\large\underline{\sf{Solution-}}$

$\sf \longmapsto x + y = 7 \: \: - - - (i)$

$\sf \longmapsto 3x - 2y = 11 \: \: - - - (ii)$

By first equation,

$\sf \longmapsto x + y = 7$

$\sf \longmapsto x = 7 - y$

Now, we can find the original value of y.

$\sf \longmapsto 3x - 2y = 11$

$\sf \longmapsto 3(7 - y) - 2y = 11$

$\sf \longmapsto 21 - 3y - 2y = 11$

$\sf \longmapsto 21 - 5y = 11$

$\sf \longmapsto - 5y = 11 - 21$

$\sf \longmapsto - 5y = - 10$

$\sf \longmapsto y = \dfrac{ - 10}{ - 5}$

$\sf \longmapsto y = 2$

Now, we can find the original value of x.

$\sf \longmapsto x + y = 7$

$\sf \longmapsto x + 2 = 7$

$\sf \longmapsto x = 7 - 2$

$\sf \longmapsto x = 5$

Therefore, the values of x and y are 5 and 2 respectively.

8 0

2 years ago

Read 2 more answers

Find the quotient. x + 7 x ÷ 9 x

kicyunya [14]

The first step for solving this expression is to write the division as a fraction.
x + $\frac{7x}{9}$ × x
Calculate the product.
$\frac{7x X x}{9}$
Remember that if a term doesn't have an exponent,, it is considered that the exponent for that term is 1. This changes the expression to the following:
$\frac{7 x^{1}X x^{1} }{9}$
Now multiply the terms with the same base by adding their exponents.
$\frac{7 x^{1+1}}{9}$
Finally,, add the numbers together to get your final answer.
x + $\frac{7 x^{2}}{9}$
Let me know if you have any further questions.
:)

8 0

3 years ago