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3 years ago

Simplify,write equivalent expressions. 1/6(15a+20b)

1 answer:

6 0

1/6* (15a+20b)
= 1/6* 15a + 1/6* 20b (Distributive property)
= 2.5a + 10/3*b

The final answer is 2.5a+ 10/3b

Hope this helps~

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In order to solve the following system of equations by addition, which of the

Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given system of equations:

$\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}$

To solve the given system of equations by addition, make one of the variables in both equations sum to zero. To do this, the chosen variable must have the same coefficient, but it should be negative in one equation and positive in the other, so that when the two equations are added together, the variable is eliminated.

To eliminate the variable y:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

$\implies -3(4x-2y=7) \implies -12x+6y=-21$

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

$\implies 2(3x-3y=15) \implies 6x-6y=30$

Add the two equations together to eliminate y:

$\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}$

Solve for x:

$\implies -6x=9$

$\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}$

Substitute the found value of x into one of the equations and solve for y:

$\implies 3\left(-\dfrac{3}{2}\right)-3y=15$

$\implies -\dfrac{9}{2}-3y=15$

$\implies -3y=\dfrac{39}{2}$

$\implies y=-\dfrac{39}{2 \cdot 3}$

$\implies y=-\dfrac{13}{2}$

Learn more about systems of equations here:

brainly.com/question/27868564

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3 0

1 year ago

Read 2 more answers

What is the function rule for this question?

Lemur [1.5K]

To calculate the remaining number of teams, use the sequence formula:
a(n) = a(1)Rⁿ-¹
Where a(n) and a(1) are the nth and first terms. R is the factor. Therefore, 24 teams is valid value.
After 5 rounds :
a(5) = 128*(½)⁴
a(5) = 128/16 = 8

8 teams are remained.

6 0

3 years ago

Pls help I will give Brainlyest

baherus [9]

Answer:

FALSE

Step-by-step explanation:

If p could equal 10, 20, 30 or 40 lets put each of them in the expression 7.4p<=74

1. 7.4 times 10 equals 74 so that work✅

2. 7.4 times 20 equals 148 so that does not work X

3. 7.4 times 30 equals 222 so that does not work X

4. 7.4 times 40 equals 296 so that does not work X

8 0

2 years ago

A bird flies from the bottom of a canyon that is 71 4/5 feet below sea level to a nest that is 875 7/10 feet above sea level. Wh

Rainbow [258]

The difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet

<h3>What is the difference in elevation between the bottom of the canyon and the bird's nest?</h3>

The given parameters are:

Nest = 71 4/5 feet above the seal level

Bottom of canyon = 875 7/10 below sea level

Below sea level means negative

So, we have:

Nest = 71 4/5 feet

Bottom of canyon = -875 7/10

The difference in elevation between the bottom of the canyon and the bird's nest is calculated as

Difference = |Nest - Bottom of canyon|

This gives

Difference = |71 4/5 - (-875 7/10)|

Evaluate the difference

Difference = |947 1/2|

Remove the absolute bracket

Difference = 947 1/2

Hence, the difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet