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3 years ago

A number plus 12 is 36. write an equation and use equation to solve

Mathematics

2 answers:

just olya [345]3 years ago

8 0

Answer:

EQUATION IS GIVEN BELOW.

Step-by-step explanation:

let the number be 'x'

now,

x+12 =36

or, x=36-12

therefore,x=24

Evgesh-ka [11]3 years ago

6 0

See the attachment below

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The volume of both of these trapezoidal prisms is 24 cubic units. Their heights are 6 and 8 units, as labeled. What is the area

Ne4ueva [31]

Answer:

area of a trapezoidal base of each prism with heights 6 and 8 units are 4 square units and 3 square units respectively

Step-by-step explanation:

Let us first be aware of formula of volume for any regular geometrical figure.

Fundamental formula for volume for any regular geometrical figure is.

volume = area of cross section of object* height of object (A)

In the problem stated area of cross section of object will be area of a trapezoidal base.

Given in the question is

Volume of both the trapezoidal prisms = 24 cubic units

*************************************************************************************

For prism with height 6 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 6 * area of a trapezoidal base

=> area of a trapezoidal base = 24/6 = 4 square units

*************************************************************************************

For prism with height 8 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 8 * area of a trapezoidal base

=> area of a trapezoidal base = 24/8 = 3 square units

*************************************************************************************

Therefore area of a trapezoidal base of each prism with heights 6 and 8 units are 4 square units and 3 square units respectively.

7 0

3 years ago

Read 2 more answers

Which ordered pair describes a translation of 6 units up up and 4 units left

Aleksandr-060686 [28]

Answer:

The correct answer for this is $(-4,6)$ .

Step-by-step explanation:

As it can be seen from the attached graph image:

The y-axis increases in positive values when we move in up direction i.e. we have +y-axis in upward direction.
The y-axis decreases and keeps on becoming more and more negative values when we move in down direction i.e. we have -y-axis in downward direction.
The x-axis increases in positive values when we move in right direction i.e. we have +x-axis in right direction.
The x-axis decreases and keeps on becoming more and more negative values when we move in left direction i.e. we have -x-axis in left direction.

Now, according to question, the translation is performed 6 points up i.e. towards positive y-axis and 4 points towards left i.e. towards negative x-axis.

And, as per rule, the co-ordinates are represented as $(x,y)$ where $x$ is the x-co-ordinate and $y$ is y-co-ordinate.

So, the answer here is $(-4,6)$ .

4 0

3 years ago

if £2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after two years

BigorU [14]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 2000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=2000\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=2000(1.03)^2\implies A=2121.8$

8 0

2 years ago

Read 2 more answers

What is the volume of the rectangular prism?

grin007 [14]

Answer:

V = 159 3/8 cm^3

Step-by-step explanation:

V = l*w*h

V = 8 1/2 * 5 * 3 3/4

Change to an improper fraction

V = 17/2 * 5 * 15/4

V =1275/8

Changing back to a mixed number

8 goes into 1275 159 times with 3 left over

V = 159 3/8 cm^3

4 0

3 years ago

The graph of a line passes through the two points (-2, 1) and (2, 1). What is the equation of the line written in general form?

OLga [1]

Answer:

Step-by-step explanation:

Slope = 0

The line is parallel to x-axis

Equation: y = 1

y -1 = 0

5 0

3 years ago

Read 2 more answers