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3 years ago

Smiplify d equation

Mathematics

2 answers:

Reptile [31]3 years ago

5 0

21/4

1.)Rewrite into fraction: 3/1 * 7/4
2.)Multiply: 21/4

Semmy [17]3 years ago

4 0

Answer:

$\frac{21}{4}$

Step-by-step explanation:

Given

3 × $\frac{7}{4}$ ← can be expressed as

$\frac{3}{1}$ × $\frac{7}{4}$

Multiply numerators/ denominators, that is

= $\frac{3(7)}{1(4)}$

= $\frac{21}{4}$

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3 0

3 years ago

Find the area of the part of the plane 3x 2y z = 6 that lies in the first octant.

gavmur [86]

The area of the part of the plane 3x 2y z = 6 that lies in the first octant is mathematically given as

A=3 √(4) units ^2

<h3>What is the area of the part of the plane 3x 2y z = 6 that lies in the first octant.?</h3>

Generally, the equation for is mathematically given as

The Figure is the x-y plane triangle formed by the shading. The formula for the surface area of a z=f(x, y) surface is as follows:

$A=\iint_{R_{x y}} \sqrt{f_{x}^{2}+f_{y}^{2}+1} d x d y(1)$

The partial derivatives of a function are f x and f y.

$\begin{aligned}&Z=f(x)=6-3 x-2 y \\&=\frac{\partial f(x)}{\partial x}=-3 \\&=\frac{\partial f(y)}{\partial y}=-2\end{aligned}$

When these numbers are plugged into equation (1) and the integrals are given bounds, we get:

$&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{(-3)^{2}+(-2)^2+1dxdy} \\\\&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{14} d x d y \\\\&=\sqrt{14} \int_{0}^{2}[y]_{0}^{3-\frac{3}{2} x} d x d y \\\\&=\sqrt{14} \int_{0}^{2}\left[3-\frac{3}{2} x\right] d x \\\\$

$&=\sqrt{14}\left[3 x-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3.2-\frac{3}{2} \cdot \frac{1}{2} \cdot 3^{2}\right] \\\\&=3 \sqrt{14} \text { units }{ }^{2}$

In conclusion, the area is

A=3 √4 units ^2

Read more about the plane

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5 0

1 year ago

4 + 5x = 1 help please

likoan [24]

4+5x=1

subtract 4 from each side

5x=-3

divide both sides by 5

x = -3/5

8 0

3 years ago

Read 2 more answers

Kelly went to a hockey game with her family. They bought 4 bags of cotton candy and 2 souvenir cups and spent $36. Marissa's fam

erik [133]

4b+2c=36, solve for b, subtract 2c from both sides

4b=36-2c divide both sides by 4

b=9-0.5c

Then we are told that:

7b+3c=59, using b=9-0.5c we get:

7(9-0.5c)+3c=59 perform indicated multiplication on left side

63-3.5c+3c=59 combine like terms on left side

63-0.5c=59 subtract 63 from both sides

-0.5c=-4 divide both sides by 0.5

c=8

So each souvenir cup costs $8.

(and each bag of cotton candy is $5)

3 0

3 years ago

When a number is substituted for the same variable in two expressions, how many times must those two expressions have different

zysi [14]

Answer:

Hope this helps!!!

Step-by-step explanation:

An equation is a mathematical statement that two expressions are equal. The solution of an equation

is the value that when substituted for the variable makes the equation a true statement.

Our goal in solving an equation is to isolate the variable on one side of the equation and a number on

the other side so the equation reads:

Variable = Number

To achieve our goal, we use two principles of equality, the addition principle and the multiplication

principle.

• Use the addition principle to move terms from one side of the equation to the other side. To

move a term, add it's opposite to both sides of the equation.

• Use the multiplication principle to solve for the variable. If the variable is multiplied by a

number, divide both sides of the equation by that number. If the variable is divided by a

number, multiply both sides of the equation by that number.

To solve equations, use the procedure outlined below.

Steps for Solving Equations

Step 1: Clear fractions and decimals by multiplying each term of the equation by the LCD (least

common denominator).

Step 2: Remove the parentheses by distributing.

Step 3: Combine any like terms found on the same side.

Step 4: Use the addition principle to move the variable term to one side of the equation and the

number to the other side.

Step 5: Multiply or divide to solve for the variable.

Step 6: Check the result in the original equation.

4 0

3 years ago

Read 2 more answers

Smiplify d equation​

Smiplify d equation