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4 years ago

Find the value of one unit of the bar model. 96

Mathematics

1 answer:

Tatiana [17]4 years ago

7 0

The value one unit of the bar model is 12

Step-by-step explanation:

The bar is divided into 8 units in the diagram (not available in this question)

We need to find the value of each unit

If x is value of 1 bar,

8x = 96

x = 96/8

So, x = 12

Hence the value one unit of the bar model is 12

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The differential equation

Mazyrski [523]

As the question points out, the equation is indeed separable:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{6x+9}{12y^2+16y+6}$

$\implies2(6y^2+8y+3)\,\mathrm dy=3(2x+3)\,\mathrm dx$

Integrate both sides to get

$2(2y^3+4y^2+3y)=3(x^2+3x)+C$

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3 years ago

You have a job interview that is 330 miles away. If your average driving speed is 55 miles per hour, how long will it take you t

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3 years ago

Find the value of x and y that satisfy both the equalities x/y=2/3 and y/24=3/4<br> .

egoroff_w [7]

x=12 and y=18 satisfies both the equalities.

Step-by-step explanation:

Given equations are;

x/y = 2/3 Eqn 1

y/24 = 3/4 Eqn 2

Multplying by 24 on both sides of Eqn 2

$24*\frac{y}{24}=\frac{3}{4}*24\\\frac{24y}{24}=\frac{72}{4}\\y=18$

Putting y=18 in Eqn 1;

$\frac{x}{18}=\frac{2}{3}$

Multiplying both sides by 18

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Putting both values in Eqn 1

$\frac{12}{18}=\frac{2}{3}\\$

As 12 and 18 are multiples of 6;

$\frac{2}{3}=\frac{2}{3}$

x=12 and y=18 satisfies both the equalities.

Keywords: fraction, division

Learn more about fractions at:

#LearnwithBrainly

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4 years ago

In the given parallelogram ABCD, find the value of x and y

Pani-rosa [81]

Answer:

see explanation

Step-by-step explanation:

(a)

The consecutive angles are supplementary, sum to 180° , then

3y + 2y - 5 = 180

5y - 5 = 180 ( add 5 to both sides )

5y = 185 ( divide both sides by 5 )

y = 37

Then ∠ A = 3y = 3 × 37 = 111

The opposite angles are congruent , then

3x + 3 = 111 ( subtract 3 from both sides )

3x = 108 ( divide both sides by 3 )

x = 36

---------------------------------------------------------------------

(b)

The diagonals bisect each other , so

x + 8 = 16 - x ( add x to both sides )

2x + 8 = 16 ( subtract 8 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

and

5y + 4 = 2y + 13 ( subtract 2y from both sides )

3y + 4 = 13 ( subtract 4 from both sides )

3y = 9 ( divide both sides by 3 )

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3 years ago

Evaluate.<br> 0.3 to the third power

Salsk061 [2.6K]

Short & Simple Answer:

0.027

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3 years ago

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