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2 years ago

Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?

Mathematics

2 answers:

Maksim231197 [3]2 years ago

8 0

Answer:

A. When x = 3, both expressions have a value of 30.

Step-by-step explanation:

The first expression is 4(x+3)+2x

The second expression is 6(x+2).

When we substitute x=3 into the first equation, we get:

$4(3 + 3) + 2(3) = 4 \times 6 + 6 = 24 + 6 = 30$

When we substitute x=3 into the second expression we get:

$6(3 + 2) = 6(5) = 30$

This proves that the two expressions are equivalent.

The correct choice is A

chubhunter [2.5K]2 years ago

4 0

Answer: A

Step-by-step explanation:

Hope this helps can i have brainly-est please

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Joe bought 5 apples and 4 bananas for $6. Dawn bought 3 apples and 6 bananas for $6.30. How much foes each apple and each banana

zepelin [54]

Answer:

Apple = $0.6

Banana = $0.75

Step-by-step explanation:

Let us represent Apple by A and Banana by B

For Joe,

5A + 4B = 6 (1)

For Dawn

3A + 6B = 6.3 (2)

To eliminate A, Multiply equation (1) by 3 and equation (2) by 5

15A + 12B = 18 (3)

15A + 30B = 31.5 (4)

subtracting equation (4) from (3)

15A - 15A +12B - 30B = 18 - 31.5

-18B = -13.5

divide through by -18

-18B/-18 = -13.5/-18

B = 0.75

substitute 0.75 in equation (1)

5A + 4B = 6

5A + 4(0.75) = 6

5A + 3 = 6

subtract 3 from both sides

5A + 3 - 3 = 6 - 3

5A = 3

divide through by 5

5A/5 = 3/5

A = 0.6

4 0

2 years ago

a manned rocket accelerates at a rate of 20 m/s2 during launch How long does it take the rocket reach a velocity of 400 m/s?

marshall27 [118]

Answer:

Step-by-step explanation:

acceleration, a = 20 m/s^2

initial velocity, u = 0 since it starts from rest

final velocity, v = 400 m/s

v = u + at

400 = 0 + 20 t

400 = 20 t

t = 400 / 20

t = 20 sec

Hope this helps

plz mark as brainliest!!!!

6 0

3 years ago

If x + 3y = 7 and x - 3y =7 , then find y Please help me

telo118 [61]

Answer:

$x + 3y = 7 , x - 3y = 7 : y = , x = 7$

Step-by-step explanation:

$\left[\begin{array}{ccc}x + 3y = 7\\x - 3y = 7\end{array}\right]$

Isolate $x$ for $x + 3y = 7 : x = 7 - 3y$ :

Substitute $x = 7 - 3y$ :

$\begin{bmatrix}7-3y-3y=7\end{bmatrix}$

Isolate $y$ for $7 - 3y - 3y = 7 : y = 0$ :

For $x$ $=7-3y$

Substitute $y = 0$

$x=7-3 * 0$

$7 - 3 * 0 = 7$

$x = 7$

The solution to the system of equations are:

$y=0,\:x=7$

Hope I helped. If so, may I get brainliest and a thanks?

Thank you. Have a good day! =)

3 0

3 years ago

Ms. Lynch has 21 coins in nickels and dimes.

bulgar [2K]

Answer:

Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns x + y = 21 5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105 5x + 10y = 165 Now we combine (add) the equations, which eliminates x altogether. 5y = 60 ... y = 12 From there, x + 12 = 21 ... x = 21-12 ... x = 9 You should double check. Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.

4 0

2 years ago

Evaluate the following expression when x = 3 and y = 4: Fraction with x squared plus y cubed in the numerator and 2 plus x in th

Black_prince [1.1K]

The answer is C. 14.6.

By evaluate, they mean substitute in the values of x and y to find the total of the expression, so you get:
(3^2 + 4^3)/(3 + 2) = (9 + 64)/5 = 73/5 = 14.6

I hope this helps!

4 0

3 years ago

Read 2 more answers