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2 years ago

Distribute to create an equivalent expression with the fewest symbols possible.

Mathematics

2 answers:

rusak2 [61]2 years ago

7 0

7(4p+2q+3r)=7(4p+2q+3r)

Apply distributive law

a(b+c)=ab+ac

28p+14q+21r=28p+14q+21r

This is the required expression

Sav [38]2 years ago

4 0

The equivalent expression for the given expression is 28p + 14q + 21r.

<h3>What is an equivalent expression?</h3>

An expression that gives the same value as the original expression when the same value of a variable is substituted is said to be an equivalent expression.

An equivalent expression is simplified to the original expression by using the distributive property.

<h3>What is distributive property?</h3>

The distributive property is

a(b + c) = ab + ac

<h3>Calculation:</h3>

The given expression is 7(4p + 2q + 3r)

Applying the distributive property,

7(4p + 2q + 3r) = 7(4p) + 7(2q) + 7(3r)

⇒ 28p + 14q + 21r

Thus, the equivalent expression for the given expression is 28p + 14q + 21r.

Learn more about an equivalent expression here:

brainly.com/question/11352551

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A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in the

VladimirAG [237]

Answer:

The amount of money you will receive is $927.419

Step-by-step explanation:

Consider the provided information.

A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in the bank for a while.

We need to calculate the amount of money if hot bank pays an interest rate of 3% compounded annually, and the youth group leaves the money in for 5 years.

Future value can be calculated as:

$FV=PV(1+r)^n$

Substitute PV=800, r=0.03 and n=5 in above equation.

$800(1+0.03)^5$

$800(1.03)^5=927.419$

Hence, the amount of money you will receive is $927.419

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3 years ago

Eleven inches of rain fell last month. This month 10 inches fell. What the percent of decrease in the amount of rain

Luda [366]

Answer:

9.09090909091% decrease

Step-by-step explanation:

1 - 10/11 = 1/11 = 9.09090909091%

5 0

3 years ago

The sides of a parallelogram are 14ft and 16ft. One angle is 41° while another angle is 139°. Find the lengths of the diagonals

Semenov [28]

We will have the following:

First, we have that the problem can be seeing as follows:

Now, knowing this and the the properties of the diagonals we will have that [We use the law of cosines}:

First diagonal [AC} is given by:

$\begin{gathered} AC=\sqrt{16^2+14^2-2cos(41)}\Rightarrow AC=10.67193085... \\ \\ \Rightarrow AC\approx10.7 \end{gathered}$

So, one of the diagonals has an approximate length of 10.7 ft.

Second diagonal [BD] is given by:

$\begin{gathered} BD=\sqrt{16^2+14^2-2(16)(14)cos(139)}\Rightarrow BD=28.10889347... \\ \\ \Rightarrow BD\approx28.1 \end{gathered}$

So, the second diagonal has a length of approximately 28.1 ft.

<em>**Diagonals**</em>

$\begin{gathered} AC\approx10.7ft \\ \\ BD\approx28.1ft \end{gathered}$

7 0

1 year ago

Find all of the critical points of p (t). p (t) = t 2 + 5t + 6.

svp [43]

Please, use " ^ " to denote exponentiation: p(t) = t^2 + 5t + 6.

To find the critical points, differentiate p(t) with respect to t, set the result = to 0, and then solve the resulting equation for t:

p '(t) = 2t + 5 = 0

Solving for t: 2t = -5, and so t = -5/2. (-5/2, p(-5/2)) is the critical point. That evaluates to (-5/2, -0.25). This happens to be the vertex of a parabola that opens up.

8 0

4 years ago

Someone please answer and explain!!!

emmainna [20.7K]

Hi there! The answer is B. $ 11,323.38

To find our answer we need to fill in the formula with the given data:

t = 5
P (the initial value) = $9000
I = 4.7% / 100 = 0.047 (since we have to change the percentage into a multiplier).

Now just fill in:
$a(5) = 9000 \times (1.047 ){}^{5} = 11323.375...$
Rounded, our answer is B. $11,323.38

5 0

4 years ago

Read 2 more answers